TSTP Solution File: NUM376+1.030 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM376+1.030 : TPTP v8.1.0. Released v3.2.0.
% 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 : n024.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 17:58:45 EDT 2022

% Result   : Unsatisfiable 15.05s 2.29s
% Output   : Refutation 15.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      : 1553
% Syntax   : Number of formulae    : 4564 (2979 unt;   0 def)
%            Number of atoms       : 7871 (4679 equ)
%            Maximal formula atoms : 1551 (   1 avg)
%            Number of connectives : 4789 (1482   ~; 265   |;1490   &)
%                                         (1552 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth : 1493 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  : 1554 (1552 usr;1553 prp; 0-2 aty)
%            Number of functors    :   36 (  36 usr;  33 con; 0-2 aty)
%            Number of variables   :    2 (   0   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7654,plain,
    $false,
    inference(avatar_smt_refutation,[],[f1496,f1500,f1504,f1508,f1512,f1516,f1520,f1524,f1528,f1532,f1536,f1540,f1544,f1548,f1552,f1556,f1560,f1564,f1568,f1572,f1576,f1580,f1584,f1588,f1592,f1596,f1600,f1604,f1608,f1612,f1616,f1620,f1624,f1628,f1632,f1636,f1640,f1644,f1648,f1652,f1656,f1660,f1664,f1668,f1672,f1676,f1680,f1684,f1688,f1692,f1696,f1700,f1704,f1708,f1712,f1716,f1720,f1724,f1728,f1732,f1736,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1772,f1776,f1780,f1784,f1788,f1792,f1796,f1800,f1804,f1808,f1812,f1816,f1820,f1824,f1828,f1832,f1836,f1840,f1844,f1848,f1852,f1856,f1860,f1864,f1868,f1872,f1876,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1908,f1912,f1916,f1920,f1924,f1928,f1932,f1936,f1940,f1944,f1948,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1984,f1988,f1992,f1996,f2000,f2004,f2008,f2012,f2016,f2020,f2024,f2028,f2032,f2036,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2068,f2072,f2076,f2080,f2084,f2088,f2092,f2096,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2184,f2188,f2192,f2196,f2200,f2204,f2208,f2212,f2216,f2220,f2224,f2228,f2232,f2236,f2240,f2244,f2248,f2252,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2292,f2296,f2300,f2304,f2308,f2312,f2316,f2320,f2324,f2328,f2332,f2336,f2340,f2344,f2348,f2352,f2356,f2360,f2364,f2368,f2372,f2376,f2380,f2384,f2388,f2392,f2396,f2400,f2404,f2408,f2412,f2416,f2420,f2424,f2428,f2432,f2436,f2440,f2444,f2448,f2452,f2456,f2460,f2464,f2468,f2472,f2476,f2480,f2484,f2488,f2492,f2496,f2500,f2504,f2508,f2512,f2516,f2520,f2524,f2528,f2532,f2536,f2540,f2544,f2548,f2552,f2556,f2560,f2564,f2568,f2572,f2576,f2580,f2584,f2588,f2592,f2596,f2600,f2604,f2608,f2612,f2616,f2620,f2624,f2628,f2632,f2636,f2640,f2644,f2648,f2652,f2656,f2660,f2664,f2668,f2672,f2676,f2680,f2684,f2688,f2692,f2696,f2700,f2704,f2708,f2712,f2716,f2720,f2724,f2728,f2732,f2736,f2740,f2744,f2748,f2752,f2756,f2760,f2764,f2768,f2772,f2776,f2780,f2784,f2788,f2792,f2796,f2800,f2804,f2808,f2812,f2816,f2820,f2824,f2828,f2832,f2836,f2840,f2844,f2848,f2852,f2856,f2860,f2864,f2868,f2872,f2876,f2880,f2884,f2888,f2892,f2896,f2900,f2904,f2908,f2912,f2916,f2920,f2924,f2928,f2932,f2936,f2940,f2944,f2948,f2952,f2956,f2960,f2964,f2968,f2972,f2976,f2980,f2984,f2988,f2992,f2996,f3000,f3004,f3008,f3012,f3016,f3020,f3024,f3028,f3032,f3036,f3040,f3044,f3048,f3052,f3056,f3060,f3064,f3068,f3072,f3076,f3080,f3084,f3088,f3092,f3096,f3100,f3104,f3108,f3112,f3116,f3120,f3124,f3128,f3132,f3136,f3140,f3144,f3148,f3152,f3156,f3160,f3164,f3168,f3172,f3176,f3180,f3184,f3188,f3192,f3196,f3200,f3204,f3208,f3212,f3216,f3220,f3224,f3228,f3232,f3236,f3240,f3244,f3248,f3252,f3256,f3260,f3264,f3268,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3304,f3308,f3312,f3316,f3320,f3324,f3328,f3332,f3336,f3340,f3344,f3348,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f3384,f3388,f3392,f3396,f3400,f3404,f3408,f3412,f3416,f3420,f3424,f3428,f3432,f3436,f3440,f3444,f3448,f3452,f3456,f3460,f3464,f3468,f3472,f3476,f3480,f3484,f3488,f3492,f3496,f3500,f3504,f3508,f3512,f3516,f3520,f3524,f3528,f3532,f3536,f3540,f3544,f3548,f3552,f3556,f3560,f3564,f3568,f3572,f3576,f3580,f3584,f3588,f3592,f3596,f3600,f3604,f3608,f3612,f3616,f3620,f3624,f3628,f3632,f3636,f3640,f3644,f3648,f3652,f3656,f3660,f3664,f3668,f3672,f3676,f3680,f3684,f3688,f3692,f3696,f3700,f3704,f3708,f3712,f3716,f3720,f3724,f3728,f3732,f3736,f3740,f3744,f3748,f3752,f3756,f3760,f3764,f3768,f3772,f3776,f3780,f3784,f3788,f3792,f3796,f3800,f3804,f3808,f3812,f3816,f3820,f3824,f3828,f3832,f3836,f3840,f3844,f3848,f3852,f3856,f3860,f3864,f3868,f3872,f3876,f3880,f3884,f3888,f3892,f3896,f3900,f3904,f3908,f3912,f3916,f3920,f3924,f3928,f3932,f3936,f3940,f3944,f3948,f3952,f3956,f3960,f3964,f3968,f3972,f3976,f3980,f3984,f3988,f3992,f3996,f4000,f4004,f4008,f4012,f4016,f4020,f4024,f4028,f4032,f4036,f4040,f4044,f4048,f4052,f4056,f4060,f4064,f4068,f4072,f4076,f4080,f4084,f4088,f4092,f4096,f4100,f4104,f4108,f4112,f4116,f4120,f4124,f4128,f4132,f4136,f4140,f4144,f4148,f4152,f4156,f4160,f4164,f4168,f4172,f4176,f4180,f4184,f4188,f4192,f4196,f4200,f4204,f4208,f4212,f4216,f4220,f4224,f4228,f4232,f4236,f4240,f4244,f4248,f4252,f4256,f4260,f4264,f4268,f4272,f4276,f4280,f4284,f4288,f4292,f4296,f4300,f4304,f4308,f4312,f4316,f4320,f4324,f4328,f4332,f4336,f4340,f4344,f4348,f4352,f4356,f4360,f4364,f4368,f4372,f4376,f4380,f4384,f4388,f4392,f4396,f4400,f4404,f4408,f4412,f4416,f4420,f4424,f4428,f4432,f4436,f4440,f4444,f4448,f4452,f4456,f4460,f4464,f4468,f4472,f4476,f4480,f4484,f4488,f4492,f4496,f4500,f4504,f4508,f4512,f4516,f4520,f4524,f4528,f4532,f4536,f4540,f4544,f4548,f4552,f4556,f4560,f4564,f4568,f4572,f4576,f4580,f4584,f4588,f4592,f4596,f4600,f4604,f4608,f4612,f4616,f4620,f4624,f4628,f4632,f4636,f4640,f4644,f4648,f4652,f4656,f4660,f4664,f4668,f4672,f4676,f4680,f4684,f4688,f4692,f4696,f4700,f4704,f4708,f4712,f4716,f4720,f4724,f4728,f4732,f4736,f4740,f4744,f4748,f4752,f4756,f4760,f4764,f4768,f4772,f4776,f4780,f4784,f4788,f4792,f4796,f4800,f4804,f4808,f4812,f4816,f4820,f4824,f4828,f4832,f4836,f4840,f4844,f4848,f4852,f4856,f4860,f4864,f4868,f4872,f4876,f4880,f4884,f4888,f4892,f4896,f4900,f4904,f4908,f4912,f4916,f4920,f4924,f4928,f4932,f4936,f4940,f4944,f4948,f4952,f4956,f4960,f4964,f4968,f4972,f4976,f4980,f4984,f4988,f4992,f4996,f5000,f5004,f5008,f5012,f5016,f5020,f5024,f5028,f5032,f5036,f5040,f5044,f5048,f5052,f5056,f5060,f5064,f5068,f5072,f5076,f5080,f5084,f5088,f5092,f5096,f5100,f5104,f5108,f5112,f5116,f5120,f5124,f5128,f5132,f5136,f5140,f5144,f5148,f5152,f5156,f5160,f5164,f5168,f5172,f5176,f5180,f5184,f5188,f5192,f5196,f5200,f5204,f5208,f5212,f5216,f5220,f5224,f5228,f5232,f5236,f5240,f5244,f5248,f5252,f5256,f5260,f5264,f5268,f5272,f5276,f5280,f5284,f5288,f5292,f5296,f5300,f5304,f5308,f5312,f5316,f5320,f5324,f5328,f5332,f5336,f5340,f5344,f5348,f5352,f5356,f5360,f5364,f5368,f5372,f5376,f5380,f5384,f5388,f5392,f5396,f5400,f5404,f5408,f5412,f5416,f5420,f5424,f5428,f5432,f5436,f5440,f5444,f5448,f5452,f5456,f5460,f5464,f5468,f5472,f5476,f5480,f5484,f5488,f5492,f5496,f5500,f5504,f5508,f5512,f5516,f5520,f5524,f5528,f5532,f5536,f5540,f5544,f5548,f5552,f5556,f5560,f5564,f5568,f5572,f5576,f5580,f5584,f5588,f5592,f5596,f5600,f5604,f5608,f5612,f5616,f5620,f5624,f5628,f5632,f5636,f5640,f5644,f5648,f5652,f5656,f5660,f5664,f5668,f5672,f5676,f5680,f5684,f5688,f5692,f5696,f5700,f5704,f5708,f5712,f5716,f5720,f5724,f5728,f5732,f5736,f5740,f5744,f5748,f5752,f5756,f5760,f5764,f5768,f5772,f5776,f5780,f5784,f5788,f5792,f5796,f5800,f5804,f5808,f5812,f5816,f5820,f5824,f5828,f5832,f5836,f5840,f5844,f5848,f5852,f5856,f5860,f5864,f5868,f5872,f5876,f5880,f5884,f5888,f5892,f5896,f5900,f5904,f5908,f5912,f5916,f5920,f5924,f5928,f5932,f5936,f5940,f5944,f5948,f5952,f5956,f5960,f5964,f5968,f5972,f5976,f5980,f5984,f5988,f5992,f5996,f6000,f6004,f6008,f6012,f6016,f6020,f6024,f6028,f6032,f6036,f6040,f6044,f6048,f6052,f6056,f6060,f6064,f6068,f6072,f6076,f6080,f6084,f6088,f6092,f6096,f6100,f6104,f6108,f6112,f6116,f6120,f6124,f6128,f6132,f6136,f6140,f6144,f6148,f6152,f6156,f6160,f6164,f6168,f6172,f6176,f6180,f6184,f6188,f6192,f6196,f6200,f6204,f6208,f6212,f6216,f6220,f6224,f6228,f6232,f6236,f6240,f6244,f6248,f6252,f6256,f6260,f6264,f6268,f6272,f6276,f6280,f6284,f6288,f6292,f6296,f6300,f6304,f6308,f6312,f6316,f6320,f6324,f6328,f6332,f6336,f6340,f6344,f6348,f6352,f6356,f6360,f6364,f6368,f6372,f6376,f6380,f6384,f6388,f6392,f6396,f6400,f6404,f6408,f6412,f6416,f6420,f6424,f6428,f6432,f6436,f6440,f6444,f6448,f6452,f6456,f6460,f6464,f6468,f6472,f6476,f6480,f6484,f6488,f6492,f6496,f6500,f6504,f6508,f6512,f6516,f6520,f6524,f6528,f6532,f6536,f6540,f6544,f6548,f6552,f6556,f6560,f6564,f6568,f6572,f6576,f6580,f6584,f6588,f6592,f6596,f6600,f6604,f6608,f6612,f6616,f6620,f6624,f6628,f6632,f6636,f6640,f6644,f6648,f6652,f6656,f6660,f6664,f6668,f6672,f6676,f6680,f6684,f6688,f6692,f6696,f6700,f6704,f6708,f6712,f6716,f6720,f6724,f6728,f6732,f6736,f6740,f6744,f6748,f6752,f6756,f6760,f6764,f6768,f6772,f6776,f6780,f6784,f6788,f6792,f6796,f6800,f6804,f6808,f6812,f6816,f6820,f6824,f6828,f6832,f6836,f6840,f6844,f6848,f6852,f6856,f6860,f6864,f6868,f6872,f6876,f6880,f6884,f6888,f6892,f6896,f6900,f6904,f6908,f6912,f6916,f6920,f6924,f6928,f6932,f6936,f6940,f6944,f6948,f6952,f6956,f6960,f6964,f6968,f6972,f6976,f6980,f6984,f6988,f6992,f6996,f7000,f7004,f7008,f7012,f7016,f7020,f7024,f7028,f7032,f7036,f7040,f7044,f7048,f7052,f7056,f7060,f7064,f7068,f7072,f7076,f7080,f7084,f7088,f7092,f7096,f7100,f7104,f7108,f7112,f7116,f7120,f7124,f7128,f7132,f7136,f7140,f7144,f7148,f7152,f7156,f7160,f7164,f7168,f7172,f7176,f7180,f7184,f7188,f7192,f7196,f7200,f7204,f7208,f7212,f7216,f7220,f7224,f7228,f7232,f7236,f7240,f7244,f7248,f7252,f7256,f7260,f7264,f7268,f7272,f7276,f7280,f7284,f7288,f7292,f7296,f7300,f7304,f7308,f7312,f7316,f7320,f7324,f7328,f7332,f7336,f7340,f7344,f7348,f7352,f7356,f7360,f7364,f7368,f7372,f7376,f7380,f7384,f7388,f7392,f7396,f7400,f7404,f7408,f7412,f7416,f7420,f7424,f7428,f7432,f7436,f7440,f7444,f7448,f7542,f7640,f7644,f7653]) ).

fof(f7653,plain,
    ( ~ spl2_518
    | ~ spl2_525
    | ~ spl2_770
    | ~ spl2_794
    | ~ spl2_864
    | ~ spl2_1401
    | ~ spl2_1458
    | ~ spl2_1521
    | spl2_1552 ),
    inference(avatar_contradiction_clause,[],[f7652]) ).

fof(f7652,plain,
    ( $false
    | ~ spl2_518
    | ~ spl2_525
    | ~ spl2_770
    | ~ spl2_794
    | ~ spl2_864
    | ~ spl2_1401
    | ~ spl2_1458
    | ~ spl2_1521
    | spl2_1552 ),
    inference(subsumption_resolution,[],[f7651,f7095]) ).

fof(f7095,plain,
    ( n23 = sum(n27,n27)
    | ~ spl2_1401 ),
    inference(avatar_component_clause,[],[f7094]) ).

fof(f7094,plain,
    ( spl2_1401
  <=> n23 = sum(n27,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1401])]) ).

fof(f7651,plain,
    ( n23 != sum(n27,n27)
    | ~ spl2_518
    | ~ spl2_525
    | ~ spl2_770
    | ~ spl2_794
    | ~ spl2_864
    | ~ spl2_1458
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7650,f7323]) ).

fof(f7323,plain,
    ( n23 = sum(n29,n25)
    | ~ spl2_1458 ),
    inference(avatar_component_clause,[],[f7322]) ).

fof(f7322,plain,
    ( spl2_1458
  <=> n23 = sum(n29,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1458])]) ).

fof(f7650,plain,
    ( sum(n27,n27) != sum(n29,n25)
    | ~ spl2_518
    | ~ spl2_525
    | ~ spl2_770
    | ~ spl2_794
    | ~ spl2_864
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7649,f4571]) ).

fof(f4571,plain,
    ( n25 = sum(n27,n29)
    | ~ spl2_770 ),
    inference(avatar_component_clause,[],[f4570]) ).

fof(f4570,plain,
    ( spl2_770
  <=> n25 = sum(n27,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_770])]) ).

fof(f7649,plain,
    ( sum(n27,n27) != sum(n29,sum(n27,n29))
    | ~ spl2_518
    | ~ spl2_525
    | ~ spl2_794
    | ~ spl2_864
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7648,f4667]) ).

fof(f4667,plain,
    ( n27 = sum(n29,n29)
    | ~ spl2_794 ),
    inference(avatar_component_clause,[],[f4666]) ).

fof(f4666,plain,
    ( spl2_794
  <=> n27 = sum(n29,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_794])]) ).

fof(f7648,plain,
    ( sum(n29,sum(n27,n29)) != sum(sum(n29,n29),n27)
    | ~ spl2_518
    | ~ spl2_525
    | ~ spl2_864
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7647,f3563]) ).

fof(f3563,plain,
    ( succ(n28) = n29
    | ~ spl2_518 ),
    inference(avatar_component_clause,[],[f3562]) ).

fof(f3562,plain,
    ( spl2_518
  <=> succ(n28) = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_518])]) ).

fof(f7647,plain,
    ( sum(sum(n29,succ(n28)),n27) != sum(n29,sum(n27,succ(n28)))
    | ~ spl2_525
    | ~ spl2_864
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7646,f4947]) ).

fof(f4947,plain,
    ( n27 = sum(n27,n0)
    | ~ spl2_864 ),
    inference(avatar_component_clause,[],[f4946]) ).

fof(f4946,plain,
    ( spl2_864
  <=> n27 = sum(n27,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_864])]) ).

fof(f7646,plain,
    ( sum(n29,sum(n27,succ(n28))) != sum(sum(n29,succ(n28)),sum(n27,n0))
    | ~ spl2_525
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7645,f3591]) ).

fof(f3591,plain,
    ( n27 = pred(n28)
    | ~ spl2_525 ),
    inference(avatar_component_clause,[],[f3590]) ).

fof(f3590,plain,
    ( spl2_525
  <=> n27 = pred(n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_525])]) ).

fof(f7645,plain,
    ( sum(n29,sum(pred(n28),succ(n28))) != sum(sum(n29,succ(n28)),sum(pred(n28),n0))
    | ~ spl2_1521
    | spl2_1552 ),
    inference(forward_demodulation,[],[f7643,f7549]) ).

fof(f7549,plain,
    ( n28 = sK0
    | ~ spl2_1521 ),
    inference(avatar_component_clause,[],[f7548]) ).

fof(f7548,plain,
    ( spl2_1521
  <=> n28 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1521])]) ).

fof(f7643,plain,
    ( sum(sum(n29,succ(sK0)),sum(pred(sK0),n0)) != sum(n29,sum(pred(sK0),succ(sK0)))
    | spl2_1552 ),
    inference(avatar_component_clause,[],[f7642]) ).

fof(f7642,plain,
    ( spl2_1552
  <=> sum(sum(n29,succ(sK0)),sum(pred(sK0),n0)) = sum(n29,sum(pred(sK0),succ(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1552])]) ).

fof(f7644,plain,
    ( ~ spl2_1552
    | ~ spl2_498
    | ~ spl2_500
    | ~ spl2_840
    | spl2_1489
    | ~ spl2_1490 ),
    inference(avatar_split_clause,[],[f7546,f7450,f7446,f4850,f3490,f3482,f7642]) ).

fof(f3482,plain,
    ( spl2_498
  <=> n0 = succ(n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_498])]) ).

fof(f3490,plain,
    ( spl2_500
  <=> n29 = pred(n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_500])]) ).

fof(f4850,plain,
    ( spl2_840
  <=> n29 = sum(n29,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_840])]) ).

fof(f7446,plain,
    ( spl2_1489
  <=> sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0))) = sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1489])]) ).

fof(f7450,plain,
    ( spl2_1490
  <=> n30 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1490])]) ).

fof(f7546,plain,
    ( sum(sum(n29,succ(sK0)),sum(pred(sK0),n0)) != sum(n29,sum(pred(sK0),succ(sK0)))
    | ~ spl2_498
    | ~ spl2_500
    | ~ spl2_840
    | spl2_1489
    | ~ spl2_1490 ),
    inference(forward_demodulation,[],[f7545,f4851]) ).

fof(f4851,plain,
    ( n29 = sum(n29,n0)
    | ~ spl2_840 ),
    inference(avatar_component_clause,[],[f4850]) ).

fof(f7545,plain,
    ( sum(sum(n29,succ(sK0)),sum(pred(sK0),n0)) != sum(sum(n29,n0),sum(pred(sK0),succ(sK0)))
    | ~ spl2_498
    | ~ spl2_500
    | spl2_1489
    | ~ spl2_1490 ),
    inference(forward_demodulation,[],[f7544,f3491]) ).

fof(f3491,plain,
    ( n29 = pred(n30)
    | ~ spl2_500 ),
    inference(avatar_component_clause,[],[f3490]) ).

fof(f7544,plain,
    ( sum(sum(pred(n30),succ(sK0)),sum(pred(sK0),n0)) != sum(sum(pred(n30),n0),sum(pred(sK0),succ(sK0)))
    | ~ spl2_498
    | spl2_1489
    | ~ spl2_1490 ),
    inference(forward_demodulation,[],[f7543,f3483]) ).

fof(f3483,plain,
    ( n0 = succ(n30)
    | ~ spl2_498 ),
    inference(avatar_component_clause,[],[f3482]) ).

fof(f7543,plain,
    ( sum(sum(pred(n30),succ(n30)),sum(pred(sK0),succ(sK0))) != sum(sum(pred(n30),succ(sK0)),sum(pred(sK0),succ(n30)))
    | spl2_1489
    | ~ spl2_1490 ),
    inference(backward_demodulation,[],[f7447,f7451]) ).

fof(f7451,plain,
    ( n30 = sK1
    | ~ spl2_1490 ),
    inference(avatar_component_clause,[],[f7450]) ).

fof(f7447,plain,
    ( sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0))) != sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1)))
    | spl2_1489 ),
    inference(avatar_component_clause,[],[f7446]) ).

fof(f7640,plain,
    ( spl2_1521
    | spl2_1522
    | spl2_1523
    | spl2_1524
    | spl2_1525
    | spl2_1526
    | spl2_1527
    | spl2_1528
    | spl2_1529
    | spl2_1530
    | spl2_1531
    | spl2_1532
    | spl2_1533
    | spl2_1534
    | spl2_1535
    | spl2_1536
    | spl2_1537
    | spl2_1538
    | spl2_1539
    | spl2_1540
    | spl2_1541
    | spl2_1542
    | spl2_1543
    | spl2_1544
    | spl2_1545
    | spl2_1546
    | spl2_1547
    | spl2_1548
    | spl2_1549
    | spl2_1550
    | spl2_1551 ),
    inference(avatar_split_clause,[],[f3,f7638,f7635,f7632,f7629,f7626,f7623,f7620,f7617,f7614,f7611,f7608,f7605,f7602,f7599,f7596,f7593,f7590,f7587,f7584,f7581,f7578,f7575,f7572,f7569,f7566,f7563,f7560,f7557,f7554,f7551,f7548]) ).

fof(f7551,plain,
    ( spl2_1522
  <=> n20 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1522])]) ).

fof(f7554,plain,
    ( spl2_1523
  <=> n8 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1523])]) ).

fof(f7557,plain,
    ( spl2_1524
  <=> n12 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1524])]) ).

fof(f7560,plain,
    ( spl2_1525
  <=> n26 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1525])]) ).

fof(f7563,plain,
    ( spl2_1526
  <=> n25 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1526])]) ).

fof(f7566,plain,
    ( spl2_1527
  <=> n11 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1527])]) ).

fof(f7569,plain,
    ( spl2_1528
  <=> n9 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1528])]) ).

fof(f7572,plain,
    ( spl2_1529
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1529])]) ).

fof(f7575,plain,
    ( spl2_1530
  <=> n21 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1530])]) ).

fof(f7578,plain,
    ( spl2_1531
  <=> n22 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1531])]) ).

fof(f7581,plain,
    ( spl2_1532
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1532])]) ).

fof(f7584,plain,
    ( spl2_1533
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1533])]) ).

fof(f7587,plain,
    ( spl2_1534
  <=> n17 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1534])]) ).

fof(f7590,plain,
    ( spl2_1535
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1535])]) ).

fof(f7593,plain,
    ( spl2_1536
  <=> n10 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1536])]) ).

fof(f7596,plain,
    ( spl2_1537
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1537])]) ).

fof(f7599,plain,
    ( spl2_1538
  <=> n30 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1538])]) ).

fof(f7602,plain,
    ( spl2_1539
  <=> n13 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1539])]) ).

fof(f7605,plain,
    ( spl2_1540
  <=> n5 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1540])]) ).

fof(f7608,plain,
    ( spl2_1541
  <=> n23 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1541])]) ).

fof(f7611,plain,
    ( spl2_1542
  <=> n24 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1542])]) ).

fof(f7614,plain,
    ( spl2_1543
  <=> n14 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1543])]) ).

fof(f7617,plain,
    ( spl2_1544
  <=> n15 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1544])]) ).

fof(f7620,plain,
    ( spl2_1545
  <=> n18 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1545])]) ).

fof(f7623,plain,
    ( spl2_1546
  <=> n19 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1546])]) ).

fof(f7626,plain,
    ( spl2_1547
  <=> n7 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1547])]) ).

fof(f7629,plain,
    ( spl2_1548
  <=> n29 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1548])]) ).

fof(f7632,plain,
    ( spl2_1549
  <=> n6 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1549])]) ).

fof(f7635,plain,
    ( spl2_1550
  <=> n16 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1550])]) ).

fof(f7638,plain,
    ( spl2_1551
  <=> n27 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1551])]) ).

fof(f3,plain,
    ( n27 = sK0
    | n16 = sK0
    | n6 = sK0
    | n29 = sK0
    | n7 = sK0
    | n19 = sK0
    | n18 = sK0
    | n15 = sK0
    | n14 = sK0
    | n24 = sK0
    | n23 = sK0
    | n5 = sK0
    | n13 = sK0
    | n30 = sK0
    | n4 = sK0
    | n10 = sK0
    | n0 = sK0
    | n17 = sK0
    | n1 = sK0
    | n2 = sK0
    | n22 = sK0
    | n21 = sK0
    | n3 = sK0
    | n9 = sK0
    | n11 = sK0
    | n25 = sK0
    | n26 = sK0
    | n12 = sK0
    | n8 = sK0
    | n20 = sK0
    | n28 = sK0 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X1,X0] :
      ( n0 = sum(n27,n4)
      & succ(n4) = n5
      & n8 = sum(n29,n10)
      & n5 = sum(n15,n21)
      & n4 != n26
      & n4 != n29
      & n28 = sum(n10,n18)
      & n11 = sum(n4,n7)
      & n3 = sum(n9,n25)
      & n29 = sum(n3,n26)
      & n3 != n10
      & n3 = sum(n29,n5)
      & n10 != n22
      & n9 = sum(n23,n17)
      & n7 = sum(n21,n17)
      & n3 != n22
      & n27 = sum(n24,n3)
      & n15 = sum(n1,n14)
      & n28 = sum(n18,n10)
      & n21 = sum(n20,n1)
      & n18 != n30
      & n15 != n23
      & n9 = sum(n6,n3)
      & n23 = sum(n23,n0)
      & n12 = sum(n30,n13)
      & n11 = sum(n14,n28)
      & n9 != n15
      & n11 != n29
      & n15 = sum(n21,n25)
      & n30 = sum(n26,n4)
      & n0 != n23
      & n19 = sum(n11,n8)
      & n8 != n10
      & n20 = sum(n19,n1)
      & n13 = sum(n16,n28)
      & n15 != n21
      & n25 = sum(n17,n8)
      & n10 != n26
      & n26 != n27
      & n26 = sum(n28,n29)
      & n27 = sum(n13,n14)
      & n4 != n9
      & n8 != n19
      & n6 = sum(n2,n4)
      & n17 = sum(n25,n23)
      & n17 = sum(n27,n21)
      & n0 = sum(n1,n30)
      & n23 = sum(n29,n25)
      & n24 = sum(n26,n29)
      & n3 != n16
      & n11 = sum(n25,n17)
      & n25 = sum(n26,n30)
      & n8 != n29
      & n4 != n16
      & n12 = sum(n15,n28)
      & n16 = sum(n27,n20)
      & n25 = sum(n12,n13)
      & n14 != n30
      & n9 != n24
      & n20 = sum(n1,n19)
      & n20 = sum(n2,n18)
      & n17 = sum(n30,n18)
      & n21 = sum(n10,n11)
      & n8 = sum(n0,n8)
      & n11 = sum(n27,n15)
      & n4 != n30
      & n29 = sum(n2,n27)
      & n3 = sum(n22,n12)
      & n5 = sum(n7,n29)
      & n6 != n11
      & n1 = sum(n15,n17)
      & n30 = sum(n27,n3)
      & n1 != n10
      & n12 = sum(n26,n17)
      & n16 != n17
      & n21 = sum(n28,n24)
      & n22 = sum(n5,n17)
      & n0 != n2
      & n16 = sum(n20,n27)
      & n26 = sum(n20,n6)
      & n7 != n8
      & n13 = sum(n6,n7)
      & n21 = sum(n9,n12)
      & n23 != n24
      & n3 = sum(n18,n16)
      & n4 != n25
      & n4 != n7
      & succ(n11) = n12
      & n18 = sum(n6,n12)
      & n15 = sum(n25,n21)
      & n2 = sum(n18,n15)
      & n28 = sum(n22,n6)
      & n4 = sum(n15,n20)
      & n7 = sum(n28,n10)
      & n21 = sum(n15,n6)
      & n0 != n8
      & n22 = sum(n15,n7)
      & n27 = pred(n28)
      & n28 = sum(n30,n29)
      & n7 != n13
      & n2 = sum(n24,n9)
      & n17 != n23
      & n25 = pred(n26)
      & n16 = sum(n2,n14)
      & n28 != n30
      & n19 = sum(n28,n22)
      & n24 != n29
      & n13 = sum(n15,n29)
      & n9 != n30
      & n29 = sum(n11,n18)
      & n22 != n29
      & n6 = sum(n26,n11)
      & n0 != n15
      & n15 != n24
      & n10 != n20
      & n27 != n28
      & n21 != n26
      & n12 = sum(n12,n0)
      & n13 = sum(n22,n22)
      & n2 != n30
      & n15 = sum(n13,n2)
      & n11 = sum(n23,n19)
      & n29 = sum(n23,n6)
      & n26 = sum(n27,n30)
      & n0 = pred(n1)
      & n15 = sum(n2,n13)
      & n8 != n24
      & n0 != n7
      & n1 = sum(n7,n25)
      & n21 = sum(n25,n27)
      & n12 != n29
      & n4 = sum(n0,n4)
      & n16 = pred(n17)
      & n15 = sum(n23,n23)
      & n20 = sum(n12,n8)
      & n1 = sum(n19,n13)
      & n20 = sum(n21,n30)
      & n17 = sum(n20,n28)
      & n7 = sum(n30,n8)
      & n5 != n28
      & n21 != n30
      & n23 = sum(n27,n27)
      & n5 != n15
      & n6 != n28
      & n6 = sum(n24,n13)
      & n15 = sum(n11,n4)
      & n5 = sum(n21,n15)
      & n2 != n23
      & n26 != n30
      & n14 = sum(n13,n1)
      & n30 = sum(n0,n30)
      & n17 = sum(n1,n16)
      & n0 != n11
      & succ(n29) = n30
      & n1 != n9
      & n19 = sum(n18,n1)
      & n16 = sum(n3,n13)
      & n1 != n21
      & n0 != n4
      & n4 = sum(n8,n27)
      & n15 = sum(n14,n1)
      & n5 != n26
      & n16 = sum(n6,n10)
      & n20 != n27
      & n20 != n26
      & n4 = sum(n1,n3)
      & n23 = sum(n11,n12)
      & n1 = sum(n28,n4)
      & n10 = pred(n11)
      & n29 = sum(n19,n10)
      & n24 = sum(n29,n26)
      & n15 = pred(n16)
      & n12 != n19
      & n6 = sum(n22,n15)
      & n5 != n30
      & n24 = sum(n5,n19)
      & n2 = sum(n16,n17)
      & n17 = sum(n29,n19)
      & n27 = sum(n3,n24)
      & n0 = sum(n22,n9)
      & n2 = sum(n10,n23)
      & n9 = sum(n25,n15)
      & n3 != n5
      & n13 = sum(n5,n8)
      & n15 != n16
      & n7 = sum(n7,n0)
      & n16 != n30
      & n24 != n27
      & n4 != n18
      & n15 != n26
      & n10 = sum(n17,n24)
      & n19 = sum(n5,n14)
      & succ(n28) = n29
      & n9 = sum(n29,n11)
      & n21 = sum(n14,n7)
      & n11 != n30
      & n16 = sum(n24,n23)
      & n14 = sum(n14,n0)
      & n7 != n10
      & n24 = sum(n12,n12)
      & n1 = sum(n11,n21)
      & n8 = sum(n18,n21)
      & n19 = sum(n10,n9)
      & n15 = sum(n9,n6)
      & n8 != n14
      & n18 = sum(n4,n14)
      & n0 != n18
      & n26 = sum(n22,n4)
      & n26 = sum(n21,n5)
      & n1 != n26
      & n2 != n6
      & n25 = sum(n21,n4)
      & n4 = sum(n24,n11)
      & n13 != n26
      & n9 = sum(n4,n5)
      & n21 = sum(n6,n15)
      & n28 = sum(n23,n5)
      & n1 != n3
      & n17 != n21
      & n8 = sum(n23,n16)
      & succ(n27) = n28
      & n26 = sum(n4,n22)
      & n21 != n29
      & n9 != n12
      & n13 != n14
      & n14 = sum(n22,n23)
      & n12 = sum(n0,n12)
      & n11 != n23
      & n3 != n24
      & n23 = sum(n24,n30)
      & n8 = sum(n8,n0)
      & n25 = sum(n14,n11)
      & n5 != n20
      & n14 = sum(n9,n5)
      & n0 = sum(n15,n16)
      & n7 != n25
      & n13 != n18
      & n23 = sum(n3,n20)
      & n26 = sum(n25,n1)
      & n16 = sum(n11,n5)
      & n6 != n13
      & n23 = sum(n22,n1)
      & n14 = sum(n1,n13)
      & n5 = sum(n16,n20)
      & n23 = sum(n16,n7)
      & n6 != n29
      & n7 = sum(n13,n25)
      & n2 != n29
      & n17 = sum(n10,n7)
      & n13 != n23
      & n14 != n20
      & n14 = sum(n4,n10)
      & n10 = sum(n8,n2)
      & n13 = sum(n2,n11)
      & n15 = sum(n26,n20)
      & n3 = sum(n6,n28)
      & n7 != n15
      & n10 = sum(n5,n5)
      & n18 != n26
      & n21 = sum(n17,n4)
      & n8 != n23
      & n9 = sum(n19,n21)
      & n23 = sum(n26,n28)
      & n6 = sum(n18,n19)
      & n22 = sum(n17,n5)
      & n17 = sum(n17,n0)
      & n29 = sum(n18,n11)
      & n28 = sum(n16,n12)
      & n19 = sum(n24,n26)
      & n30 = sum(n21,n9)
      & n2 = sum(n17,n16)
      & n15 = sum(n20,n26)
      & n8 != n15
      & n0 = sum(n23,n8)
      & n18 != n23
      & n15 = sum(n30,n16)
      & n6 = sum(n1,n5)
      & n13 = sum(n28,n16)
      & n13 = sum(n25,n19)
      & n6 != n12
      & n17 = sum(n21,n27)
      & n23 != n29
      & n27 = sum(n8,n19)
      & n12 != n21
      & n19 = sum(n17,n2)
      & n19 = sum(n1,n18)
      & n5 = sum(n24,n12)
      & succ(n12) = n13
      & n28 = sum(n15,n13)
      & n6 != n21
      & n30 = sum(n28,n2)
      & n0 = sum(n29,n2)
      & n10 = sum(n14,n27)
      & n5 = sum(n17,n19)
      & n9 = sum(n16,n24)
      & n10 = sum(n4,n6)
      & n11 = sum(n6,n5)
      & n24 = sum(n0,n24)
      & n18 != n22
      & n28 = sum(n27,n1)
      & n7 = sum(n6,n1)
      & n23 = sum(n20,n3)
      & n7 = sum(n14,n24)
      & n18 = sum(n9,n9)
      & n28 = sum(n28,n0)
      & n10 = sum(n0,n10)
      & n10 = sum(n12,n29)
      & n30 = sum(n10,n20)
      & n3 != n25
      & n5 = sum(n11,n25)
      & n14 != n21
      & n2 != n28
      & n10 = sum(n19,n22)
      & n11 != n14
      & n22 = sum(n30,n23)
      & n29 = sum(n24,n5)
      & n20 = sum(n17,n3)
      & n12 = sum(n9,n3)
      & n24 = sum(n9,n15)
      & n16 = sum(n10,n6)
      & n3 != n27
      & n23 = sum(n13,n10)
      & n24 = sum(n19,n5)
      & n25 = sum(n25,n0)
      & n25 = sum(n5,n20)
      & n27 = sum(n2,n25)
      & n29 = sum(n9,n20)
      & n10 = sum(n22,n19)
      & n1 = sum(n29,n3)
      & n2 = sum(n8,n25)
      & n25 = sum(n6,n19)
      & n9 = sum(n1,n8)
      & n13 = sum(n1,n12)
      & ( n21 = X0
        | n4 = X0
        | n7 = X0
        | n12 = X0
        | n13 = X0
        | n26 = X0
        | n9 = X0
        | n11 = X0
        | n28 = X0
        | n19 = X0
        | n16 = X0
        | n25 = X0
        | n1 = X0
        | n10 = X0
        | n5 = X0
        | n29 = X0
        | n20 = X0
        | n2 = X0
        | n15 = X0
        | n17 = X0
        | n6 = X0
        | n14 = X0
        | n24 = X0
        | n27 = X0
        | n30 = X0
        | n0 = X0
        | n18 = X0
        | n23 = X0
        | n8 = X0
        | n22 = X0
        | n3 = X0 )
      & n28 = sum(n14,n14)
      & n19 = sum(n26,n24)
      & n24 = sum(n8,n16)
      & n5 != n7
      & n13 != n17
      & n0 = sum(n14,n17)
      & n18 != n19
      & n17 != n28
      & n8 = sum(n26,n13)
      & n7 = sum(n20,n18)
      & n28 = sum(n12,n16)
      & n26 = sum(n5,n21)
      & n20 = sum(n9,n11)
      & n9 != n27
      & n16 != n20
      & n3 != n29
      & n16 != n21
      & n26 = sum(n26,n0)
      & n23 = sum(n5,n18)
      & n10 = sum(n16,n25)
      & n11 = sum(n26,n16)
      & n30 = sum(n14,n16)
      & n10 != n18
      & n2 != n27
      & n16 = sum(n12,n4)
      & n0 != n25
      & n9 = sum(n11,n29)
      & n14 != n29
      & n4 != n8
      & n27 = sum(n7,n20)
      & n30 = sum(n16,n14)
      & n17 = sum(n8,n9)
      & succ(n18) = n19
      & n1 != n15
      & n15 != n22
      & n17 != n22
      & n19 = sum(n15,n4)
      & n7 = sum(n3,n4)
      & n16 = sum(n18,n29)
      & n21 = sum(n23,n29)
      & n7 != n17
      & n18 = sum(n12,n6)
      & n19 = sum(n21,n29)
      & n7 != n19
      & n3 = sum(n19,n15)
      & n10 = sum(n15,n26)
      & n1 != n5
      & n1 = sum(n0,n1)
      & n11 != n27
      & n1 = sum(n21,n11)
      & n16 = sum(n26,n21)
      & n1 != n18
      & n12 != n20
      & n11 != n13
      & n6 != n16
      & n4 = sum(n29,n6)
      & n1 = sum(n16,n16)
      & n6 != n19
      & n28 = sum(n5,n23)
      & n7 = sum(n10,n28)
      & n26 = sum(n3,n23)
      & n9 != n13
      & n19 = sum(n8,n11)
      & n14 = sum(n12,n2)
      & n0 != n19
      & n20 = sum(n29,n22)
      & n27 = sum(n21,n6)
      & n0 = sum(n0,n0)
      & n15 = sum(n3,n12)
      & n16 = sum(n17,n30)
      & n3 = sum(n15,n19)
      & n30 = sum(n8,n22)
      & n7 != n29
      & n8 = sum(n10,n29)
      & n7 != n11
      & n18 != n29
      & n4 != n6
      & ( n19 = X1
        | n3 = X1
        | n8 = X1
        | n12 = X1
        | n17 = X1
        | n18 = X1
        | n0 = X1
        | n10 = X1
        | n1 = X1
        | n4 = X1
        | n21 = X1
        | n27 = X1
        | n15 = X1
        | n24 = X1
        | n9 = X1
        | n28 = X1
        | n14 = X1
        | n23 = X1
        | n30 = X1
        | n7 = X1
        | n16 = X1
        | n2 = X1
        | n25 = X1
        | n20 = X1
        | n22 = X1
        | n6 = X1
        | n5 = X1
        | n13 = X1
        | n11 = X1
        | n29 = X1
        | n26 = X1 )
      & n24 = sum(n7,n17)
      & n19 = sum(n0,n19)
      & n10 != n14
      & n16 != n24
      & n20 = sum(n3,n17)
      & n5 = sum(n2,n3)
      & n11 = sum(n1,n10)
      & n5 != n27
      & n6 = sum(n3,n3)
      & n9 = sum(n9,n0)
      & n28 = sum(n2,n26)
      & n19 != n23
      & n10 = sum(n24,n17)
      & n27 != n30
      & n9 = sum(n10,n30)
      & n20 = sum(n30,n21)
      & n14 = sum(n18,n27)
      & n19 = sum(n23,n27)
      & n10 = sum(n2,n8)
      & n0 != n29
      & n5 != n19
      & n28 = sum(n26,n2)
      & n13 != n19
      & n20 = sum(n18,n2)
      & n5 != n16
      & n7 = sum(n0,n7)
      & n7 != n22
      & n20 != n28
      & n22 != n26
      & n30 = sum(n5,n25)
      & n20 = sum(n11,n9)
      & n20 = sum(n4,n16)
      & n18 = sum(n22,n27)
      & n27 = sum(n28,n30)
      & n7 = sum(n1,n6)
      & n9 != n26
      & n20 = sum(n15,n5)
      & n26 = pred(n27)
      & n19 != n27
      & n11 = pred(n12)
      & n3 = sum(n30,n4)
      & n11 != n24
      & n28 = sum(n20,n8)
      & n23 = sum(n7,n16)
      & n1 != n29
      & n17 = sum(n16,n1)
      & n17 != n19
      & n23 = sum(n21,n2)
      & n25 = sum(n23,n2)
      & n19 != n20
      & n6 = sum(n10,n27)
      & succ(n24) = n25
      & n27 = sum(n17,n10)
      & n2 != n9
      & n12 = sum(n20,n23)
      & n7 != n24
      & n4 = sum(n27,n8)
      & n21 = sum(n11,n10)
      & n2 != n18
      & n26 = sum(n1,n25)
      & n30 = sum(n2,n28)
      & n15 != n17
      & n24 != n25
      & n0 != n21
      & n13 != n24
      & n25 = sum(n16,n9)
      & n7 = sum(n15,n23)
      & n5 != n17
      & n16 = sum(n7,n9)
      & n9 = pred(n10)
      & n30 = sum(n12,n18)
      & n18 = sum(n26,n23)
      & n2 = sum(n1,n1)
      & n24 = sum(n25,n30)
      & n4 = sum(n25,n10)
      & n1 != n27
      & n28 = sum(n8,n20)
      & n23 != n26
      & n19 = sum(n19,n0)
      & n9 != n10
      & n20 = sum(n23,n28)
      & n1 = sum(n30,n2)
      & n19 = sum(n22,n28)
      & n9 = sum(n24,n16)
      & n21 = sum(n4,n17)
      & n1 != n22
      & n17 = sum(n6,n11)
      & n18 = sum(n25,n24)
      & n11 = sum(n19,n23)
      & n23 = sum(n28,n26)
      & n25 != n28
      & n12 != n16
      & n0 = sum(n5,n26)
      & n8 != n30
      & n6 = sum(n11,n26)
      & n5 = sum(n25,n11)
      & n3 != n9
      & n17 = sum(n24,n24)
      & n1 = sum(n10,n22)
      & n12 != n27
      & n4 != n19
      & n16 = sum(n29,n18)
      & n9 = sum(n2,n7)
      & n9 = sum(n17,n23)
      & n11 != n22
      & n20 != n21
      & n7 != n16
      & n7 != n18
      & n0 != n13
      & n10 != n16
      & n4 = sum(n16,n19)
      & n1 = sum(n3,n29)
      & n0 != n22
      & n15 != n19
      & n14 = sum(n0,n14)
      & n18 = sum(n0,n18)
      & n12 = sum(n22,n21)
      & n11 = sum(n24,n18)
      & n1 = sum(n25,n7)
      & n10 != n28
      & n0 != n24
      & n1 != n28
      & n2 != n7
      & n24 = sum(n18,n6)
      & n28 = sum(n9,n19)
      & n13 = sum(n24,n20)
      & n5 = sum(n10,n26)
      & n17 = sum(n26,n22)
      & n4 = sum(n2,n2)
      & n5 = sum(n4,n1)
      & n12 = sum(n19,n24)
      & n11 = sum(n30,n12)
      & n4 = sum(n17,n18)
      & n24 = sum(n17,n7)
      & n1 = sum(n27,n5)
      & n4 != n27
      & n0 = sum(n20,n11)
      & succ(n5) = n6
      & n11 = sum(n5,n6)
      & n13 != n20
      & n9 = sum(n30,n10)
      & n17 = sum(n11,n6)
      & n7 != n26
      & n29 = sum(n17,n12)
      & n5 = sum(n0,n5)
      & n3 = sum(n11,n23)
      & n12 = sum(n28,n15)
      & n18 = sum(n27,n22)
      & n13 != n25
      & n12 != n13
      & n22 = sum(n13,n9)
      & n14 = sum(n30,n15)
      & n24 = sum(n27,n28)
      & n5 != n23
      & n5 = sum(n28,n8)
      & n8 = sum(n25,n14)
      & n8 = sum(n5,n3)
      & n20 = sum(n22,n29)
      & n22 = sum(n28,n25)
      & n4 != n28
      & n24 = pred(n25)
      & n28 = sum(n25,n3)
      & n29 != n30
      & n5 = sum(n23,n13)
      & n6 != n24
      & n19 = sum(n2,n17)
      & n4 = sum(n12,n23)
      & n19 != n28
      & n6 != n17
      & n16 = sum(n4,n12)
      & n5 != n29
      & n4 != n11
      & n11 = sum(n16,n26)
      & n18 = sum(n19,n30)
      & n24 = sum(n14,n10)
      & n8 = sum(n3,n5)
      & n10 != n12
      & n7 = sum(n2,n5)
      & n4 != n15
      & n25 = sum(n29,n27)
      & n17 != n20
      & n30 = sum(n13,n17)
      & succ(n21) = n22
      & n20 != n22
      & n2 = sum(n0,n2)
      & n11 = sum(n28,n14)
      & n3 = sum(n5,n29)
      & n22 = sum(n8,n14)
      & n6 = sum(n27,n10)
      & n11 != n17
      & n19 = sum(n20,n30)
      & n29 = sum(n10,n19)
      & n18 = sum(n11,n7)
      & n19 = sum(n4,n15)
      & n1 != n14
      & n2 != n19
      & n15 != n30
      & n1 = sum(n20,n12)
      & n9 = sum(n12,n28)
      & n14 = sum(n26,n19)
      & n16 != n28
      & n5 != n10
      & n22 = sum(n0,n22)
      & n4 = sum(n21,n14)
      & n8 = sum(n13,n26)
      & n22 = sum(n23,n30)
      & n3 != n8
      & n3 != n6
      & n13 != n29
      & n6 != n25
      & succ(n13) = n14
      & n24 = sum(n3,n21)
      & n12 = sum(n10,n2)
      & n20 = sum(n25,n26)
      & n16 != n18
      & n3 != n15
      & n19 = sum(n7,n12)
      & n21 = pred(n22)
      & n19 = sum(n29,n21)
      & n20 = sum(n10,n10)
      & n12 = sum(n3,n9)
      & n13 = sum(n26,n18)
      & n8 = sum(n19,n20)
      & n6 = sum(n12,n25)
      & n10 != n11
      & n2 = sum(n12,n21)
      & n18 != n27
      & n8 = pred(n9)
      & n24 != n30
      & n15 = sum(n7,n8)
      & n1 != n23
      & n25 = sum(n30,n26)
      & n2 = sum(n23,n10)
      & n28 = sum(n6,n22)
      & n17 != n27
      & n24 = sum(n28,n27)
      & n9 = sum(n14,n26)
      & n3 = sum(n17,n17)
      & n0 = sum(n25,n6)
      & n0 != n26
      & n6 = sum(n6,n0)
      & n14 != n24
      & n27 = sum(n26,n1)
      & n12 = sum(n17,n26)
      & n2 != n3
      & n7 = sum(n16,n22)
      & n24 = sum(n4,n20)
      & n22 = sum(n29,n24)
      & n7 = sum(n22,n16)
      & n17 = sum(n5,n12)
      & n20 = sum(n0,n20)
      & n11 = sum(n21,n21)
      & n7 != n21
      & n9 != n17
      & n12 = sum(n27,n16)
      & n18 = sum(n17,n1)
      & n21 != n22
      & n22 = sum(n24,n29)
      & n16 = sum(n16,n0)
      & n13 = sum(n0,n13)
      & succ(n17) = n18
      & n12 = sum(n2,n10)
      & n30 = sum(n1,n29)
      & n9 != n29
      & n22 = sum(n11,n11)
      & n16 != n29
      & n6 != n10
      & n25 = sum(n8,n17)
      & n0 = sum(n2,n29)
      & n2 != n11
      & n9 != n25
      & n26 = sum(n24,n2)
      & n16 = sum(n9,n7)
      & n14 = sum(n15,n30)
      & n22 = sum(n18,n4)
      & n0 != n14
      & n8 != n27
      & n10 != n21
      & n11 = sum(n12,n30)
      & n7 = sum(n27,n11)
      & n2 != n14
      & n5 = sum(n12,n24)
      & n10 = sum(n10,n0)
      & n1 != n4
      & n14 != n28
      & n27 = sum(n30,n28)
      & n2 != n5
      & n24 = sum(n2,n22)
      & n22 = sum(n19,n3)
      & n1 != n16
      & n1 = sum(n2,n30)
      & n13 = sum(n12,n1)
      & n14 != n22
      & n18 = sum(n30,n19)
      & n8 = sum(n14,n25)
      & n30 = sum(n20,n10)
      & n7 = sum(n11,n27)
      & n12 = sum(n6,n6)
      & n7 = sum(n24,n14)
      & n7 = sum(n29,n9)
      & n27 = sum(n9,n18)
      & n3 = sum(n26,n8)
      & n16 = sum(n23,n24)
      & n5 = sum(n8,n28)
      & n17 != n18
      & n19 = sum(n3,n16)
      & n4 = sum(n20,n15)
      & n28 = sum(n7,n21)
      & n23 = sum(n15,n8)
      & n11 != n19
      & n11 != n25
      & n10 = sum(n27,n14)
      & n8 != n17
      & n27 = sum(n16,n11)
      & n29 = sum(n28,n1)
      & n3 = sum(n21,n13)
      & n19 = sum(n12,n7)
      & n18 != n24
      & n15 = sum(n15,n0)
      & n6 = sum(n0,n6)
      & n14 = sum(n25,n20)
      & n2 = sum(n21,n12)
      & n25 = sum(n9,n16)
      & n0 != n20
      & n27 = sum(n25,n2)
      & n19 != n21
      & n30 = pred(n0)
      & n19 = sum(n9,n10)
      & n14 != n15
      & n13 = sum(n8,n5)
      & n3 = sum(n12,n22)
      & n12 != n18
      & n13 = sum(n30,n14)
      & n19 = pred(n20)
      & n16 = sum(n15,n1)
      & n26 = sum(n10,n16)
      & n14 = sum(n29,n16)
      & n8 = sum(n22,n17)
      & n22 = sum(n16,n6)
      & n10 = sum(n26,n15)
      & n1 != n11
      & n22 != n25
      & n8 = sum(n30,n9)
      & n6 != n9
      & n6 = pred(n7)
      & n5 = sum(n29,n7)
      & n0 != n10
      & n13 = sum(n3,n10)
      & n0 = sum(n24,n7)
      & n1 = sum(n14,n18)
      & n9 = sum(n18,n22)
      & n30 = sum(n29,n1)
      & n22 != n30
      & n0 = sum(n28,n3)
      & n28 != n29
      & n25 = sum(n0,n25)
      & n4 != n24
      & n25 = sum(n19,n6)
      & n17 = sum(n13,n4)
      & n10 != n19
      & n18 = sum(n15,n3)
      & n29 = sum(n15,n14)
      & n27 = sum(n23,n4)
      & n6 = sum(n21,n16)
      & n0 = sum(n8,n23)
      & n16 = sum(n0,n16)
      & n14 = sum(n5,n9)
      & n4 != n14
      & n28 = sum(n0,n28)
      & n12 = sum(n21,n22)
      & n10 = sum(n13,n28)
      & n22 != n24
      & n7 != n20
      & n15 != n27
      & n6 = sum(n13,n24)
      & n2 = sum(n20,n13)
      & n28 = sum(n17,n11)
      & n19 = sum(n27,n23)
      & n4 = sum(n28,n7)
      & n4 != n5
      & n11 = sum(n20,n22)
      & n14 != n23
      & n14 = sum(n21,n24)
      & n19 = sum(n6,n13)
      & n12 = sum(n1,n11)
      & n3 != n14
      & n14 != n26
      & n12 != n15
      & n3 != n12
      & n10 != n30
      & n14 = sum(n24,n21)
      & n17 = sum(n22,n26)
      & n18 = sum(n29,n20)
      & n2 = sum(n13,n20)
      & n3 = sum(n20,n14)
      & n0 = sum(n16,n15)
      & n2 != n15
      & n29 = sum(n6,n23)
      & n4 = sum(n9,n26)
      & n25 = sum(n15,n10)
      & n1 = sum(n12,n20)
      & n21 = sum(n16,n5)
      & n26 = sum(n13,n13)
      & n1 = sum(n9,n23)
      & n13 = sum(n13,n0)
      & n12 = sum(n7,n5)
      & n22 = sum(n22,n0)
      & n1 = sum(n23,n9)
      & n17 != n26
      & n9 = sum(n3,n6)
      & n8 = sum(n24,n15)
      & n25 = sum(n2,n23)
      & n24 != n26
      & n28 = sum(n3,n25)
      & n11 != n16
      & n8 != n13
      & n3 != n11
      & n11 = sum(n18,n24)
      & n3 != n21
      & n8 != n26
      & n21 = sum(n21,n0)
      & n25 != n30
      & n7 = sum(n12,n26)
      & n23 = sum(n18,n5)
      & n6 = sum(n8,n29)
      & n19 != n22
      & n5 != n6
      & n26 = sum(n16,n10)
      & n6 != n27
      & n25 = sum(n20,n5)
      & n9 != n20
      & n9 != n28
      & n14 != n27
      & n2 = sum(n11,n22)
      & n21 = sum(n12,n9)
      & n25 = sum(n24,n1)
      & n7 != n14
      & n6 = sum(n28,n9)
      & n28 = sum(n21,n7)
      & n29 = pred(n30)
      & n10 = sum(n1,n9)
      & n6 = sum(n9,n28)
      & n13 = sum(n17,n27)
      & n7 = sum(n26,n12)
      & n3 = sum(n0,n3)
      & n20 != n25
      & n24 != n28
      & n5 = sum(n20,n16)
      & n3 = sum(n4,n30)
      & n17 = sum(n15,n2)
      & n22 = sum(n2,n20)
      & n2 != n8
      & n26 != n28
      & n18 = sum(n10,n8)
      & n30 = sum(n18,n12)
      & n5 = sum(n9,n27)
      & n6 = sum(n30,n7)
      & n11 != n20
      & n29 = sum(n22,n7)
      & n22 = sum(n27,n26)
      & n29 = sum(n14,n15)
      & n7 != n27
      & n22 = sum(n10,n12)
      & n16 = sum(n28,n19)
      & n28 = sum(n11,n17)
      & n8 != n18
      & n20 = sum(n8,n12)
      & n8 = sum(n15,n24)
      & n19 != n29
      & n15 != n18
      & n29 = sum(n12,n17)
      & n28 = sum(n29,n30)
      & n8 != n9
      & n21 = sum(n7,n14)
      & n1 = sum(n18,n14)
      & n17 = sum(n2,n15)
      & n0 = sum(n3,n28)
      & n21 != n23
      & n21 = sum(n26,n26)
      & n0 != n6
      & n10 = sum(n30,n11)
      & n30 = sum(n11,n19)
      & n16 = sum(n19,n28)
      & n9 = sum(n15,n25)
      & n2 != n4
      & n6 != n14
      & n10 != n25
      & n4 != n17
      & n20 != n23
      & n15 = sum(n12,n3)
      & n30 = sum(n23,n7)
      & n14 = sum(n11,n3)
      & n26 = sum(n30,n27)
      & n2 = sum(n25,n8)
      & n11 = sum(n10,n1)
      & n12 = sum(n18,n25)
      & succ(n20) = n21
      & n2 != n21
      & n22 = sum(n6,n16)
      & n20 != n24
      & n15 = sum(n17,n29)
      & n1 = sum(n5,n27)
      & n0 = succ(n30)
      & n2 = sum(n26,n7)
      & n20 = sum(n16,n4)
      & n6 = sum(n5,n1)
      & n21 = sum(n5,n16)
      & n26 = sum(n14,n12)
      & n9 = sum(n28,n12)
      & n11 != n12
      & n24 = sum(n15,n9)
      & n12 != n30
      & n25 = sum(n18,n7)
      & n9 = sum(n20,n20)
      & n7 != n9
      & n5 = sum(n13,n23)
      & succ(n25) = n26
      & n0 = sum(n17,n14)
      & n29 = sum(n20,n9)
      & n1 = sum(n8,n24)
      & n21 = sum(n13,n8)
      & n14 = sum(n10,n4)
      & n26 = sum(n18,n8)
      & n24 = sum(n13,n11)
      & n16 = sum(n1,n15)
      & n17 = sum(n4,n13)
      & n13 = sum(n18,n26)
      & n24 = sum(n22,n2)
      & n1 != n12
      & n9 = sum(n26,n14)
      & n22 = sum(n25,n28)
      & n16 = sum(n8,n8)
      & n11 != n21
      & succ(n22) = n23
      & n22 = sum(n14,n8)
      & n18 != n20
      & n24 = sum(n11,n13)
      & n30 = sum(n9,n21)
      & n16 != n27
      & n14 = sum(n2,n12)
      & n2 != n12
      & succ(n1) = n2
      & n2 != n26
      & n30 = sum(n7,n23)
      & n16 != n22
      & n5 = sum(n27,n9)
      & n29 = sum(n30,n30)
      & n17 = sum(n3,n14)
      & n21 != n28
      & n15 = sum(n16,n30)
      & n5 = sum(n19,n17)
      & n0 != n12
      & n19 = sum(n13,n6)
      & n4 = sum(n23,n12)
      & n17 = sum(n14,n3)
      & succ(n8) = n9
      & n3 != n26
      & n5 = sum(n6,n30)
      & n6 = sum(n7,n30)
      & n4 != n12
      & n24 = sum(n1,n23)
      & n11 = sum(n29,n13)
      & n2 != n16
      & n5 != n9
      & n27 = sum(n27,n0)
      & n0 != n3
      & n18 = sum(n8,n10)
      & n1 != n17
      & n16 = sum(n21,n26)
      & n27 = sum(n10,n17)
      & n20 = sum(n28,n23)
      & n3 = pred(n4)
      & n12 = pred(n13)
      & n8 != n16
      & n26 != n29
      & n10 != n23
      & n23 = pred(n24)
      & n3 = sum(n8,n26)
      & n29 = sum(n21,n8)
      & n26 = sum(n0,n26)
      & n26 = sum(n17,n9)
      & n9 = sum(n7,n2)
      & succ(n0) = n1
      & n2 = sum(n22,n11)
      & n10 != n17
      & n23 = sum(n1,n22)
      & n15 = sum(n19,n27)
      & n22 = sum(n21,n1)
      & n2 != n10
      & n20 = sum(n14,n6)
      & n30 = sum(n25,n5)
      & succ(n3) = n4
      & n23 = sum(n30,n24)
      & n24 = sum(n16,n8)
      & n19 != n26
      & n13 = sum(n11,n2)
      & n7 = sum(n4,n3)
      & n8 = sum(n17,n22)
      & n5 = sum(n30,n6)
      & n14 != n19
      & n18 = sum(n3,n15)
      & n8 != n12
      & n0 = sum(n26,n5)
      & n22 = pred(n23)
      & n2 != n17
      & n9 != n23
      & n29 = sum(n29,n0)
      & n1 = sum(n13,n19)
      & n2 = sum(n2,n0)
      & n2 = sum(n4,n29)
      & n4 = sum(n26,n9)
      & n12 != n26
      & n7 = sum(n9,n29)
      & succ(n9) = n10
      & n1 = sum(n22,n10)
      & n18 = sum(n23,n26)
      & n29 = sum(n8,n21)
      & n20 = sum(n24,n27)
      & n0 != n5
      & n5 = sum(n3,n2)
      & n26 = sum(n15,n11)
      & n4 = sum(n18,n17)
      & n16 != n25
      & n9 = sum(n27,n13)
      & n5 != n21
      & n4 = sum(n13,n22)
      & n17 = sum(n7,n10)
      & n29 = sum(n26,n3)
      & n14 != n17
      & n9 != n19
      & n18 = sum(n20,n29)
      & n8 = sum(n6,n2)
      & n3 != n7
      & n27 = sum(n20,n7)
      & n7 != n12
      & n0 = sum(n4,n27)
      & n10 = sum(n18,n23)
      & n26 = sum(n7,n19)
      & n6 != n22
      & n3 != n23
      & n5 != n25
      & n3 = sum(n2,n1)
      & n28 = sum(n24,n4)
      & n21 = sum(n0,n21)
      & n3 = sum(n14,n20)
      & n5 != n8
      & n22 != n28
      & n22 = sum(n20,n2)
      & n2 = sum(n30,n3)
      & n29 = sum(n27,n2)
      & n19 != n30
      & n18 = pred(n19)
      & n2 = sum(n3,n30)
      & n13 = sum(n4,n9)
      & n6 = sum(n17,n20)
      & n11 = sum(n0,n11)
      & n27 = sum(n19,n8)
      & n4 = sum(n19,n16)
      & n16 != n26
      & n2 = sum(n5,n28)
      & n7 = pred(n8)
      & n14 = sum(n27,n18)
      & n11 != n18
      & n7 != n30
      & n13 != n21
      & succ(n15) = n16
      & n23 = sum(n0,n23)
      & n19 = sum(n25,n25)
      & n13 != n27
      & n9 != n21
      & n0 = sum(n6,n25)
      & n30 = sum(n17,n13)
      & n23 = sum(n14,n9)
      & n15 = sum(n0,n15)
      & n2 = pred(n3)
      & n23 = sum(n6,n17)
      & n9 != n16
      & n26 = sum(n29,n28)
      & n27 = sum(n29,n29)
      & n29 = sum(n16,n13)
      & succ(n10) = n11
      & n2 != n13
      & n6 = sum(n14,n23)
      & succ(n19) = n20
      & n25 != n27
      & n13 = sum(n29,n15)
      & n17 != n30
      & n22 = sum(n9,n13)
      & n7 = sum(n8,n30)
      & n10 = sum(n29,n12)
      & n29 = sum(n1,n28)
      & n23 = sum(n2,n21)
      & n2 = sum(n9,n24)
      & n8 = sum(n4,n4)
      & n30 = sum(n30,n0)
      & n21 = sum(n2,n19)
      & n0 != n9
      & n19 = sum(n30,n20)
      & n15 != n28
      & n27 = sum(n11,n16)
      & n4 = sum(n10,n25)
      & n20 = sum(n27,n24)
      & n12 = sum(n25,n18)
      & n23 != n28
      & n19 = sum(n14,n5)
      & n5 != n11
      & n11 = sum(n7,n4)
      & n14 = sum(n6,n8)
      & n25 = sum(n7,n18)
      & n8 = sum(n9,n30)
      & n20 = sum(n5,n15)
      & n25 = sum(n27,n29)
      & n16 = sum(n14,n2)
      & n3 != n28
      & n11 = sum(n13,n29)
      & n3 != n20
      & n11 = sum(n15,n27)
      & n5 = sum(n1,n4)
      & n15 = sum(n29,n17)
      & n17 = sum(n12,n5)
      & n19 != n24
      & n0 != n16
      & n27 != n29
      & n2 != n24
      & n13 = sum(n14,n30)
      & n9 != n14
      & n27 = sum(n12,n15)
      & n4 = pred(n5)
      & n3 = sum(n16,n18)
      & n17 != n29
      & n4 = sum(n30,n5)
      & n1 = pred(n2)
      & n12 = sum(n14,n29)
      & n15 = sum(n10,n5)
      & n13 != n15
      & n3 = sum(n28,n6)
      & n25 != n29
      & n7 = sum(n19,n19)
      & n15 = sum(n18,n28)
      & succ(n2) = n3
      & n1 = sum(n26,n6)
      & n18 != n25
      & n16 = sum(n5,n11)
      & n17 = sum(n19,n29)
      & n8 = sum(n20,n19)
      & n8 = sum(n7,n1)
      & n11 = sum(n22,n20)
      & n24 = sum(n24,n0)
      & n23 = sum(n17,n6)
      & n12 = sum(n13,n30)
      & n6 != n20
      & n10 = sum(n3,n7)
      & n9 = sum(n0,n9)
      & n20 = sum(n26,n25)
      & n13 = sum(n21,n23)
      & n5 != n14
      & n3 = sum(n27,n7)
      & n1 != n19
      & n5 != n18
      & n17 = pred(n18)
      & n6 != n15
      & n1 != n24
      & n10 = sum(n23,n18)
      & n4 != n20
      & n13 = sum(n9,n4)
      & n22 = sum(n7,n15)
      & n23 = sum(n25,n29)
      & n8 = sum(n1,n7)
      & n24 = sum(n23,n1)
      & n12 = sum(n23,n20)
      & n10 != n15
      & n4 != n21
      & n15 = sum(n24,n22)
      & n14 = sum(n28,n17)
      & n12 = sum(n11,n1)
      & n2 != n25
      & succ(n14) = n15
      & n1 != n6
      & n15 = sum(n5,n10)
      & n13 = sum(n7,n6)
      & n16 != n19
      & n3 != n13
      & n27 = sum(n1,n26)
      & n3 = sum(n25,n9)
      & n6 != n7
      & n30 = sum(n4,n26)
      & n0 = sum(n18,n13)
      & succ(n23) = n24
      & n12 != n14
      & n0 != n30
      & n21 = sum(n27,n25)
      & n21 = sum(n18,n3)
      & n3 = sum(n3,n0)
      & n14 = sum(n17,n28)
      & n5 != n24
      & n0 = sum(n11,n20)
      & n12 = sum(n29,n14)
      & n13 != n28
      & n9 = sum(n22,n18)
      & n6 != n18
      & n5 != n22
      & n18 = sum(n18,n0)
      & n0 != n17
      & n10 = sum(n20,n21)
      & n23 = sum(n8,n15)
      & n12 = sum(n5,n7)
      & n15 != n25
      & n17 = sum(n23,n25)
      & n9 != n18
      & n6 = sum(n23,n14)
      & n10 != n29
      & n8 != n28
      & n8 = sum(n21,n18)
      & n3 != n17
      & n21 = sum(n1,n20)
      & n21 = sum(n24,n28)
      & n25 = sum(n22,n3)
      & n5 != n12
      & n26 = sum(n23,n3)
      & n30 = sum(n24,n6)
      & n15 = sum(n28,n18)
      & n6 = sum(n4,n2)
      & n25 = sum(n28,n28)
      & n12 = sum(n16,n27)
      & n8 = sum(n27,n12)
      & n14 = sum(n16,n29)
      & n12 != n28
      & n11 = sum(n11,n0)
      & n12 = sum(n4,n8)
      & n2 = sum(n14,n19)
      & n25 = sum(n1,n24)
      & n15 = sum(n6,n9)
      & n21 = sum(n19,n2)
      & n4 != n10
      & n8 = sum(n2,n6)
      & n14 != n16
      & n24 = sum(n20,n4)
      & n26 = sum(n19,n7)
      & n23 != n30
      & n5 = sum(n22,n14)
      & n9 = sum(n21,n19)
      & n13 = sum(n23,n21)
      & n25 = sum(n11,n14)
      & n21 = sum(n29,n23)
      & n12 != n22
      & n12 = sum(n8,n4)
      & n29 = sum(n4,n25)
      & n9 = sum(n13,n27)
      & n25 = sum(n4,n21)
      & n1 != n2
      & n30 = sum(n22,n8)
      & n20 = sum(n6,n14)
      & n10 != n27
      & n1 = sum(n1,n0)
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
      & n12 != n24
      & n25 = sum(n13,n12)
      & n17 = sum(n28,n20)
      & n18 = sum(n7,n11)
      & n8 != n22
      & n5 = pred(n6)
      & n2 != n20
      & n23 != n27
      & n4 != n22
      & n2 = sum(n7,n26)
      & n4 = sum(n3,n1)
      & n8 = sum(n11,n28)
      & n0 != n27
      & n2 = sum(n27,n6)
      & n21 != n24
      & n2 = sum(n15,n18)
      & n22 = sum(n1,n21)
      & n26 = sum(n2,n24)
      & n21 = sum(n30,n22)
      & n1 = sum(n24,n8)
      & n10 = sum(n28,n13)
      & n13 != n16
      & n26 = sum(n9,n17)
      & n4 != n23
      & n7 = sum(n23,n15)
      & n27 = sum(n14,n13)
      & n29 = sum(n7,n22)
      & n2 = sum(n19,n14)
      & n1 != n20
      & n23 = sum(n10,n13)
      & n8 != n21
      & n22 != n23
      & n13 != n30
      & n21 != n25
      & n5 = sum(n14,n22)
      & n1 = sum(n6,n26)
      & n29 = sum(n13,n16)
      & n7 = sum(n18,n20)
      & n3 != n18
      & n6 = sum(n29,n8)
      & n2 = sum(n6,n27)
      & n20 = pred(n21)
      & n18 = sum(n21,n28)
      & n19 != n25
      & n24 = sum(n21,n3)
      & n26 = sum(n6,n20)
      & n12 != n17
      & n21 = sum(n8,n13)
      & n0 = sum(n10,n21)
      & n17 = sum(n9,n8)
      & n3 = sum(n1,n2)
      & n1 != n25
      & n4 = sum(n22,n13)
      & n8 != n25
      & n3 != n4
      & n18 = sum(n14,n4)
      & n12 = sum(n24,n19)
      & n30 = sum(n15,n15)
      & n15 != n20
      & n11 = sum(n17,n25)
      & n16 = sum(n30,n17)
      & n8 != n20
      & n4 = sum(n14,n21)
      & n19 = sum(n16,n3)
      & n27 = sum(n5,n22)
      & n25 = sum(n10,n15)
      & n10 = sum(n25,n16)
      & succ(n16) = n17
      & succ(n6) = n7
      & n5 = sum(n5,n0)
      & n14 = sum(n20,n25)
      & n20 != n29
      & succ(n26) = n27
      & n27 = sum(n22,n5)
      & n0 = sum(n12,n19)
      & n11 = sum(n9,n2)
      & n17 = sum(n0,n17)
      & n18 = sum(n5,n13)
      & n24 = sum(n30,n25)
      & n13 != n22
      & n7 = sum(n5,n2)
      & n6 != n26
      & n0 = sum(n13,n18)
      & n26 = sum(n11,n15)
      & n13 = pred(n14)
      & n14 != n25
      & n7 != n23
      & n6 = sum(n19,n18)
      & n6 != n8
      & n3 = sum(n24,n10)
      & n14 = sum(n19,n26)
      & n0 != n1
      & n9 != n11
      & n22 = sum(n4,n18)
      & n4 = sum(n6,n29)
      & n7 = sum(n17,n21)
      & n24 = sum(n6,n18)
      & n26 = sum(n8,n18)
      & n7 != n28
      & n14 = pred(n15)
      & n27 = sum(n4,n23)
      & n15 = sum(n22,n24)
      & n2 = sum(n28,n5)
      & n12 != n23
      & n0 = sum(n21,n10)
      & n6 = sum(n25,n12)
      & n8 = sum(n12,n27)
      & n24 = sum(n10,n14)
      & n14 = sum(n23,n22)
      & n13 = sum(n20,n24)
      & n8 = sum(n28,n11)
      & n9 = sum(n5,n4)
      & n6 = sum(n16,n21)
      & n18 = sum(n2,n16)
      & n27 = sum(n15,n12)
      & n28 = pred(n29)
      & n30 = sum(n3,n27)
      & n18 != n21
      & n6 = sum(n15,n22)
      & n23 != n25
      & n16 = sum(n13,n3)
      & n1 != n7
      & n1 != n13
      & n30 = sum(n6,n24)
      & n10 = sum(n7,n3)
      & n4 = sum(n7,n28)
      & n5 != n13
      & n18 != n28
      & n18 = sum(n16,n2)
      & n9 = sum(n8,n1)
      & n6 != n30
      & n11 = sum(n8,n3)
      & n3 = sum(n10,n24)
      & n6 != n23
      & n11 = sum(n2,n9)
      & n20 = sum(n7,n13)
      & n2 = sum(n29,n4)
      & n28 = sum(n19,n9)
      & n10 != n24
      & n18 = sum(n24,n25)
      & n16 != n23
      & n26 = sum(n12,n14)
      & n22 = sum(n3,n19)
      & succ(n7) = n8
      & n15 = sum(n27,n19)
      & n4 != n13
      & n10 != n13
      & n10 = sum(n6,n4)
      & n28 = sum(n4,n24)
      & n16 = sum(n22,n25)
      & n4 = sum(n5,n30)
      & n27 = sum(n6,n21)
      & n11 != n15
      & n4 = sum(n4,n0)
      & n3 = sum(n13,n21)
      & n20 = sum(n13,n7)
      & n22 = sum(n12,n10)
      & n0 = sum(n19,n12)
      & n4 = sum(n11,n24)
      & n9 != n22
      & n21 = sum(n22,n30)
      & n21 = sum(n3,n18)
      & n2 != n22
      & n18 = sum(n28,n21)
      & n1 != n30
      & n1 != n8
      & n17 != n25
      & n28 = sum(n1,n27)
      & n7 = sum(n25,n13)
      & n14 = sum(n3,n11)
      & n13 = sum(n19,n25)
      & n11 = sum(n3,n8)
      & n17 != n24
      & n0 = sum(n30,n1)
      & n14 = sum(n8,n6)
      & n1 = sum(n4,n28)
      & n3 = sum(n7,n27)
      & n11 != n26
      & n27 = sum(n18,n9)
      & n10 = sum(n9,n1)
      & n21 != n27
      & n3 = sum(n23,n11)
      & n22 != n27
      & n0 = sum(n9,n22)
      & n15 = sum(n8,n7)
      & n14 = sum(n7,n7)
      & n8 != n11
      & n20 = sum(n20,n0)
      & n25 = sum(n3,n22)
      & n28 = sum(n13,n15)
      & n13 = sum(n27,n17)
      & n3 != n30
      & n22 = sum(n26,n27)
      & n29 = sum(n5,n24)
      & n18 = sum(n13,n5)
      & n8 = sum(n16,n23)
      & n13 = sum(n10,n3)
      & n16 = sum(n25,n22)
      & n14 != n18
      & n3 != n19
      & n23 = sum(n12,n11)
      & n11 != n28
      & n10 = sum(n11,n30)
      & n6 = sum(n20,n17)
      & n15 != n29
      & n25 != n26
      & n27 = sum(n0,n27)
      & n5 = sum(n18,n18)
      & n23 = sum(n19,n4)
      & n5 = sum(n26,n10)
      & n20 != n30
      & n0 != n28
      & n17 = sum(n18,n30)
      & n18 = sum(n1,n17)
      & n15 = sum(n4,n11)
      & n12 != n25
      & n23 = sum(n4,n19)
      & n23 = sum(n9,n14)
      & n10 = sum(n21,n20)
      & n1 = sum(n17,n15)
      & n29 = sum(n25,n4)
      & n29 = sum(n0,n29)
      & n30 = sum(n19,n11)
      & n0 = sum(n7,n24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f7542,plain,
    ( spl2_1490
    | spl2_1491
    | spl2_1492
    | spl2_1493
    | spl2_1494
    | spl2_1495
    | spl2_1496
    | spl2_1497
    | spl2_1498
    | spl2_1499
    | spl2_1500
    | spl2_1501
    | spl2_1502
    | spl2_1503
    | spl2_1504
    | spl2_1505
    | spl2_1506
    | spl2_1507
    | spl2_1508
    | spl2_1509
    | spl2_1510
    | spl2_1511
    | spl2_1512
    | spl2_1513
    | spl2_1514
    | spl2_1515
    | spl2_1516
    | spl2_1517
    | spl2_1518
    | spl2_1519
    | spl2_1520 ),
    inference(avatar_split_clause,[],[f2,f7540,f7537,f7534,f7531,f7528,f7525,f7522,f7519,f7516,f7513,f7510,f7507,f7504,f7501,f7498,f7495,f7492,f7489,f7486,f7483,f7480,f7477,f7474,f7471,f7468,f7465,f7462,f7459,f7456,f7453,f7450]) ).

fof(f7453,plain,
    ( spl2_1491
  <=> n21 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1491])]) ).

fof(f7456,plain,
    ( spl2_1492
  <=> n3 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1492])]) ).

fof(f7459,plain,
    ( spl2_1493
  <=> n20 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1493])]) ).

fof(f7462,plain,
    ( spl2_1494
  <=> n19 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1494])]) ).

fof(f7465,plain,
    ( spl2_1495
  <=> n6 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1495])]) ).

fof(f7468,plain,
    ( spl2_1496
  <=> n13 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1496])]) ).

fof(f7471,plain,
    ( spl2_1497
  <=> n10 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1497])]) ).

fof(f7474,plain,
    ( spl2_1498
  <=> n18 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1498])]) ).

fof(f7477,plain,
    ( spl2_1499
  <=> n22 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1499])]) ).

fof(f7480,plain,
    ( spl2_1500
  <=> n0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1500])]) ).

fof(f7483,plain,
    ( spl2_1501
  <=> n15 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1501])]) ).

fof(f7486,plain,
    ( spl2_1502
  <=> n29 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1502])]) ).

fof(f7489,plain,
    ( spl2_1503
  <=> n4 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1503])]) ).

fof(f7492,plain,
    ( spl2_1504
  <=> n11 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1504])]) ).

fof(f7495,plain,
    ( spl2_1505
  <=> n12 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1505])]) ).

fof(f7498,plain,
    ( spl2_1506
  <=> n23 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1506])]) ).

fof(f7501,plain,
    ( spl2_1507
  <=> n27 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1507])]) ).

fof(f7504,plain,
    ( spl2_1508
  <=> n1 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1508])]) ).

fof(f7507,plain,
    ( spl2_1509
  <=> n17 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1509])]) ).

fof(f7510,plain,
    ( spl2_1510
  <=> n2 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1510])]) ).

fof(f7513,plain,
    ( spl2_1511
  <=> n14 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1511])]) ).

fof(f7516,plain,
    ( spl2_1512
  <=> n5 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1512])]) ).

fof(f7519,plain,
    ( spl2_1513
  <=> n28 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1513])]) ).

fof(f7522,plain,
    ( spl2_1514
  <=> n24 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1514])]) ).

fof(f7525,plain,
    ( spl2_1515
  <=> n16 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1515])]) ).

fof(f7528,plain,
    ( spl2_1516
  <=> n25 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1516])]) ).

fof(f7531,plain,
    ( spl2_1517
  <=> n7 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1517])]) ).

fof(f7534,plain,
    ( spl2_1518
  <=> n9 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1518])]) ).

fof(f7537,plain,
    ( spl2_1519
  <=> n8 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1519])]) ).

fof(f7540,plain,
    ( spl2_1520
  <=> n26 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1520])]) ).

fof(f2,plain,
    ( n26 = sK1
    | n8 = sK1
    | n9 = sK1
    | n7 = sK1
    | n25 = sK1
    | n16 = sK1
    | n24 = sK1
    | n28 = sK1
    | n5 = sK1
    | n14 = sK1
    | n2 = sK1
    | n17 = sK1
    | n1 = sK1
    | n27 = sK1
    | n23 = sK1
    | n12 = sK1
    | n11 = sK1
    | n4 = sK1
    | n29 = sK1
    | n15 = sK1
    | n0 = sK1
    | n22 = sK1
    | n18 = sK1
    | n10 = sK1
    | n13 = sK1
    | n6 = sK1
    | n19 = sK1
    | n20 = sK1
    | n3 = sK1
    | n21 = sK1
    | n30 = sK1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7448,plain,
    ~ spl2_1489,
    inference(avatar_split_clause,[],[f228,f7446]) ).

fof(f228,plain,
    sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0))) != sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1))),
    inference(cnf_transformation,[],[f1]) ).

fof(f7444,plain,
    spl2_1488,
    inference(avatar_split_clause,[],[f1492,f7442]) ).

fof(f7442,plain,
    ( spl2_1488
  <=> n0 = sum(n27,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1488])]) ).

fof(f1492,plain,
    n0 = sum(n27,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f7440,plain,
    spl2_1487,
    inference(avatar_split_clause,[],[f1490,f7438]) ).

fof(f7438,plain,
    ( spl2_1487
  <=> n8 = sum(n29,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1487])]) ).

fof(f1490,plain,
    n8 = sum(n29,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f7436,plain,
    spl2_1486,
    inference(avatar_split_clause,[],[f1489,f7434]) ).

fof(f7434,plain,
    ( spl2_1486
  <=> n5 = sum(n15,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1486])]) ).

fof(f1489,plain,
    n5 = sum(n15,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f7432,plain,
    spl2_1485,
    inference(avatar_split_clause,[],[f1486,f7430]) ).

fof(f7430,plain,
    ( spl2_1485
  <=> n28 = sum(n10,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1485])]) ).

fof(f1486,plain,
    n28 = sum(n10,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f7428,plain,
    spl2_1484,
    inference(avatar_split_clause,[],[f1485,f7426]) ).

fof(f7426,plain,
    ( spl2_1484
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1484])]) ).

fof(f1485,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f7424,plain,
    spl2_1483,
    inference(avatar_split_clause,[],[f1484,f7422]) ).

fof(f7422,plain,
    ( spl2_1483
  <=> n3 = sum(n9,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1483])]) ).

fof(f1484,plain,
    n3 = sum(n9,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f7420,plain,
    spl2_1482,
    inference(avatar_split_clause,[],[f1483,f7418]) ).

fof(f7418,plain,
    ( spl2_1482
  <=> n29 = sum(n3,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1482])]) ).

fof(f1483,plain,
    n29 = sum(n3,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f7416,plain,
    spl2_1481,
    inference(avatar_split_clause,[],[f1481,f7414]) ).

fof(f7414,plain,
    ( spl2_1481
  <=> n3 = sum(n29,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1481])]) ).

fof(f1481,plain,
    n3 = sum(n29,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f7412,plain,
    spl2_1480,
    inference(avatar_split_clause,[],[f1479,f7410]) ).

fof(f7410,plain,
    ( spl2_1480
  <=> n9 = sum(n23,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1480])]) ).

fof(f1479,plain,
    n9 = sum(n23,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7408,plain,
    spl2_1479,
    inference(avatar_split_clause,[],[f1478,f7406]) ).

fof(f7406,plain,
    ( spl2_1479
  <=> n7 = sum(n21,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1479])]) ).

fof(f1478,plain,
    n7 = sum(n21,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7404,plain,
    spl2_1478,
    inference(avatar_split_clause,[],[f1476,f7402]) ).

fof(f7402,plain,
    ( spl2_1478
  <=> n27 = sum(n24,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1478])]) ).

fof(f1476,plain,
    n27 = sum(n24,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f7400,plain,
    spl2_1477,
    inference(avatar_split_clause,[],[f1475,f7398]) ).

fof(f7398,plain,
    ( spl2_1477
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1477])]) ).

fof(f1475,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f7396,plain,
    spl2_1476,
    inference(avatar_split_clause,[],[f1474,f7394]) ).

fof(f7394,plain,
    ( spl2_1476
  <=> n28 = sum(n18,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1476])]) ).

fof(f1474,plain,
    n28 = sum(n18,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f7392,plain,
    spl2_1475,
    inference(avatar_split_clause,[],[f1473,f7390]) ).

fof(f7390,plain,
    ( spl2_1475
  <=> n21 = sum(n20,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1475])]) ).

fof(f1473,plain,
    n21 = sum(n20,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f7388,plain,
    spl2_1474,
    inference(avatar_split_clause,[],[f1470,f7386]) ).

fof(f7386,plain,
    ( spl2_1474
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1474])]) ).

fof(f1470,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f7384,plain,
    spl2_1473,
    inference(avatar_split_clause,[],[f1469,f7382]) ).

fof(f7382,plain,
    ( spl2_1473
  <=> n23 = sum(n23,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1473])]) ).

fof(f1469,plain,
    n23 = sum(n23,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f7380,plain,
    spl2_1472,
    inference(avatar_split_clause,[],[f1468,f7378]) ).

fof(f7378,plain,
    ( spl2_1472
  <=> n12 = sum(n30,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1472])]) ).

fof(f1468,plain,
    n12 = sum(n30,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f7376,plain,
    spl2_1471,
    inference(avatar_split_clause,[],[f1467,f7374]) ).

fof(f7374,plain,
    ( spl2_1471
  <=> n11 = sum(n14,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1471])]) ).

fof(f1467,plain,
    n11 = sum(n14,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f7372,plain,
    spl2_1470,
    inference(avatar_split_clause,[],[f1464,f7370]) ).

fof(f7370,plain,
    ( spl2_1470
  <=> n15 = sum(n21,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1470])]) ).

fof(f1464,plain,
    n15 = sum(n21,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f7368,plain,
    spl2_1469,
    inference(avatar_split_clause,[],[f1463,f7366]) ).

fof(f7366,plain,
    ( spl2_1469
  <=> n30 = sum(n26,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1469])]) ).

fof(f1463,plain,
    n30 = sum(n26,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f7364,plain,
    spl2_1468,
    inference(avatar_split_clause,[],[f1461,f7362]) ).

fof(f7362,plain,
    ( spl2_1468
  <=> n19 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1468])]) ).

fof(f1461,plain,
    n19 = sum(n11,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f7360,plain,
    spl2_1467,
    inference(avatar_split_clause,[],[f1459,f7358]) ).

fof(f7358,plain,
    ( spl2_1467
  <=> n20 = sum(n19,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1467])]) ).

fof(f1459,plain,
    n20 = sum(n19,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f7356,plain,
    spl2_1466,
    inference(avatar_split_clause,[],[f1458,f7354]) ).

fof(f7354,plain,
    ( spl2_1466
  <=> n13 = sum(n16,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1466])]) ).

fof(f1458,plain,
    n13 = sum(n16,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f7352,plain,
    spl2_1465,
    inference(avatar_split_clause,[],[f1456,f7350]) ).

fof(f7350,plain,
    ( spl2_1465
  <=> n25 = sum(n17,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1465])]) ).

fof(f1456,plain,
    n25 = sum(n17,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f7348,plain,
    spl2_1464,
    inference(avatar_split_clause,[],[f1453,f7346]) ).

fof(f7346,plain,
    ( spl2_1464
  <=> n26 = sum(n28,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1464])]) ).

fof(f1453,plain,
    n26 = sum(n28,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f7344,plain,
    spl2_1463,
    inference(avatar_split_clause,[],[f1452,f7342]) ).

fof(f7342,plain,
    ( spl2_1463
  <=> n27 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1463])]) ).

fof(f1452,plain,
    n27 = sum(n13,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f7340,plain,
    spl2_1462,
    inference(avatar_split_clause,[],[f1449,f7338]) ).

fof(f7338,plain,
    ( spl2_1462
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1462])]) ).

fof(f1449,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f7336,plain,
    spl2_1461,
    inference(avatar_split_clause,[],[f1448,f7334]) ).

fof(f7334,plain,
    ( spl2_1461
  <=> n17 = sum(n25,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1461])]) ).

fof(f1448,plain,
    n17 = sum(n25,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f7332,plain,
    spl2_1460,
    inference(avatar_split_clause,[],[f1447,f7330]) ).

fof(f7330,plain,
    ( spl2_1460
  <=> n17 = sum(n27,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1460])]) ).

fof(f1447,plain,
    n17 = sum(n27,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f7328,plain,
    spl2_1459,
    inference(avatar_split_clause,[],[f1446,f7326]) ).

fof(f7326,plain,
    ( spl2_1459
  <=> n0 = sum(n1,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1459])]) ).

fof(f1446,plain,
    n0 = sum(n1,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f7324,plain,
    spl2_1458,
    inference(avatar_split_clause,[],[f1445,f7322]) ).

fof(f1445,plain,
    n23 = sum(n29,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f7320,plain,
    spl2_1457,
    inference(avatar_split_clause,[],[f1444,f7318]) ).

fof(f7318,plain,
    ( spl2_1457
  <=> n24 = sum(n26,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1457])]) ).

fof(f1444,plain,
    n24 = sum(n26,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f7316,plain,
    spl2_1456,
    inference(avatar_split_clause,[],[f1442,f7314]) ).

fof(f7314,plain,
    ( spl2_1456
  <=> n11 = sum(n25,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1456])]) ).

fof(f1442,plain,
    n11 = sum(n25,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7312,plain,
    spl2_1455,
    inference(avatar_split_clause,[],[f1441,f7310]) ).

fof(f7310,plain,
    ( spl2_1455
  <=> n25 = sum(n26,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1455])]) ).

fof(f1441,plain,
    n25 = sum(n26,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f7308,plain,
    spl2_1454,
    inference(avatar_split_clause,[],[f1438,f7306]) ).

fof(f7306,plain,
    ( spl2_1454
  <=> n12 = sum(n15,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1454])]) ).

fof(f1438,plain,
    n12 = sum(n15,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f7304,plain,
    spl2_1453,
    inference(avatar_split_clause,[],[f1437,f7302]) ).

fof(f7302,plain,
    ( spl2_1453
  <=> n16 = sum(n27,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1453])]) ).

fof(f1437,plain,
    n16 = sum(n27,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f7300,plain,
    spl2_1452,
    inference(avatar_split_clause,[],[f1436,f7298]) ).

fof(f7298,plain,
    ( spl2_1452
  <=> n25 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1452])]) ).

fof(f1436,plain,
    n25 = sum(n12,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f7296,plain,
    spl2_1451,
    inference(avatar_split_clause,[],[f1433,f7294]) ).

fof(f7294,plain,
    ( spl2_1451
  <=> n20 = sum(n1,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1451])]) ).

fof(f1433,plain,
    n20 = sum(n1,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f7292,plain,
    spl2_1450,
    inference(avatar_split_clause,[],[f1432,f7290]) ).

fof(f7290,plain,
    ( spl2_1450
  <=> n20 = sum(n2,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1450])]) ).

fof(f1432,plain,
    n20 = sum(n2,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f7288,plain,
    spl2_1449,
    inference(avatar_split_clause,[],[f1431,f7286]) ).

fof(f7286,plain,
    ( spl2_1449
  <=> n17 = sum(n30,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1449])]) ).

fof(f1431,plain,
    n17 = sum(n30,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f7284,plain,
    spl2_1448,
    inference(avatar_split_clause,[],[f1430,f7282]) ).

fof(f7282,plain,
    ( spl2_1448
  <=> n21 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1448])]) ).

fof(f1430,plain,
    n21 = sum(n10,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f7280,plain,
    spl2_1447,
    inference(avatar_split_clause,[],[f1429,f7278]) ).

fof(f7278,plain,
    ( spl2_1447
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1447])]) ).

fof(f1429,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f7276,plain,
    spl2_1446,
    inference(avatar_split_clause,[],[f1428,f7274]) ).

fof(f7274,plain,
    ( spl2_1446
  <=> n11 = sum(n27,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1446])]) ).

fof(f1428,plain,
    n11 = sum(n27,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f7272,plain,
    spl2_1445,
    inference(avatar_split_clause,[],[f1426,f7270]) ).

fof(f7270,plain,
    ( spl2_1445
  <=> n29 = sum(n2,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1445])]) ).

fof(f1426,plain,
    n29 = sum(n2,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f7268,plain,
    spl2_1444,
    inference(avatar_split_clause,[],[f1425,f7266]) ).

fof(f7266,plain,
    ( spl2_1444
  <=> n3 = sum(n22,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1444])]) ).

fof(f1425,plain,
    n3 = sum(n22,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f7264,plain,
    spl2_1443,
    inference(avatar_split_clause,[],[f1424,f7262]) ).

fof(f7262,plain,
    ( spl2_1443
  <=> n5 = sum(n7,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1443])]) ).

fof(f1424,plain,
    n5 = sum(n7,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f7260,plain,
    spl2_1442,
    inference(avatar_split_clause,[],[f1422,f7258]) ).

fof(f7258,plain,
    ( spl2_1442
  <=> n1 = sum(n15,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1442])]) ).

fof(f1422,plain,
    n1 = sum(n15,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7256,plain,
    spl2_1441,
    inference(avatar_split_clause,[],[f1421,f7254]) ).

fof(f7254,plain,
    ( spl2_1441
  <=> n30 = sum(n27,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1441])]) ).

fof(f1421,plain,
    n30 = sum(n27,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f7252,plain,
    spl2_1440,
    inference(avatar_split_clause,[],[f1419,f7250]) ).

fof(f7250,plain,
    ( spl2_1440
  <=> n12 = sum(n26,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1440])]) ).

fof(f1419,plain,
    n12 = sum(n26,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7248,plain,
    spl2_1439,
    inference(avatar_split_clause,[],[f1417,f7246]) ).

fof(f7246,plain,
    ( spl2_1439
  <=> n21 = sum(n28,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1439])]) ).

fof(f1417,plain,
    n21 = sum(n28,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f7244,plain,
    spl2_1438,
    inference(avatar_split_clause,[],[f1416,f7242]) ).

fof(f7242,plain,
    ( spl2_1438
  <=> n22 = sum(n5,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1438])]) ).

fof(f1416,plain,
    n22 = sum(n5,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7240,plain,
    spl2_1437,
    inference(avatar_split_clause,[],[f1414,f7238]) ).

fof(f7238,plain,
    ( spl2_1437
  <=> n16 = sum(n20,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1437])]) ).

fof(f1414,plain,
    n16 = sum(n20,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f7236,plain,
    spl2_1436,
    inference(avatar_split_clause,[],[f1413,f7234]) ).

fof(f7234,plain,
    ( spl2_1436
  <=> n26 = sum(n20,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1436])]) ).

fof(f1413,plain,
    n26 = sum(n20,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f7232,plain,
    spl2_1435,
    inference(avatar_split_clause,[],[f1411,f7230]) ).

fof(f7230,plain,
    ( spl2_1435
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1435])]) ).

fof(f1411,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f7228,plain,
    spl2_1434,
    inference(avatar_split_clause,[],[f1410,f7226]) ).

fof(f7226,plain,
    ( spl2_1434
  <=> n21 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1434])]) ).

fof(f1410,plain,
    n21 = sum(n9,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f7224,plain,
    spl2_1433,
    inference(avatar_split_clause,[],[f1408,f7222]) ).

fof(f7222,plain,
    ( spl2_1433
  <=> n3 = sum(n18,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1433])]) ).

fof(f1408,plain,
    n3 = sum(n18,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f7220,plain,
    spl2_1432,
    inference(avatar_split_clause,[],[f1404,f7218]) ).

fof(f7218,plain,
    ( spl2_1432
  <=> n18 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1432])]) ).

fof(f1404,plain,
    n18 = sum(n6,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f7216,plain,
    spl2_1431,
    inference(avatar_split_clause,[],[f1403,f7214]) ).

fof(f7214,plain,
    ( spl2_1431
  <=> n15 = sum(n25,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1431])]) ).

fof(f1403,plain,
    n15 = sum(n25,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f7212,plain,
    spl2_1430,
    inference(avatar_split_clause,[],[f1402,f7210]) ).

fof(f7210,plain,
    ( spl2_1430
  <=> n2 = sum(n18,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1430])]) ).

fof(f1402,plain,
    n2 = sum(n18,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f7208,plain,
    spl2_1429,
    inference(avatar_split_clause,[],[f1401,f7206]) ).

fof(f7206,plain,
    ( spl2_1429
  <=> n28 = sum(n22,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1429])]) ).

fof(f1401,plain,
    n28 = sum(n22,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f7204,plain,
    spl2_1428,
    inference(avatar_split_clause,[],[f1400,f7202]) ).

fof(f7202,plain,
    ( spl2_1428
  <=> n4 = sum(n15,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1428])]) ).

fof(f1400,plain,
    n4 = sum(n15,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f7200,plain,
    spl2_1427,
    inference(avatar_split_clause,[],[f1399,f7198]) ).

fof(f7198,plain,
    ( spl2_1427
  <=> n7 = sum(n28,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1427])]) ).

fof(f1399,plain,
    n7 = sum(n28,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f7196,plain,
    spl2_1426,
    inference(avatar_split_clause,[],[f1398,f7194]) ).

fof(f7194,plain,
    ( spl2_1426
  <=> n21 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1426])]) ).

fof(f1398,plain,
    n21 = sum(n15,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f7192,plain,
    spl2_1425,
    inference(avatar_split_clause,[],[f1396,f7190]) ).

fof(f7190,plain,
    ( spl2_1425
  <=> n22 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1425])]) ).

fof(f1396,plain,
    n22 = sum(n15,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f7188,plain,
    spl2_1424,
    inference(avatar_split_clause,[],[f1394,f7186]) ).

fof(f7186,plain,
    ( spl2_1424
  <=> n28 = sum(n30,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1424])]) ).

fof(f1394,plain,
    n28 = sum(n30,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f7184,plain,
    spl2_1423,
    inference(avatar_split_clause,[],[f1392,f7182]) ).

fof(f7182,plain,
    ( spl2_1423
  <=> n2 = sum(n24,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1423])]) ).

fof(f1392,plain,
    n2 = sum(n24,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f7180,plain,
    spl2_1422,
    inference(avatar_split_clause,[],[f1389,f7178]) ).

fof(f7178,plain,
    ( spl2_1422
  <=> n16 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1422])]) ).

fof(f1389,plain,
    n16 = sum(n2,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f7176,plain,
    spl2_1421,
    inference(avatar_split_clause,[],[f1387,f7174]) ).

fof(f7174,plain,
    ( spl2_1421
  <=> n19 = sum(n28,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1421])]) ).

fof(f1387,plain,
    n19 = sum(n28,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f7172,plain,
    spl2_1420,
    inference(avatar_split_clause,[],[f1385,f7170]) ).

fof(f7170,plain,
    ( spl2_1420
  <=> n13 = sum(n15,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1420])]) ).

fof(f1385,plain,
    n13 = sum(n15,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f7168,plain,
    spl2_1419,
    inference(avatar_split_clause,[],[f1383,f7166]) ).

fof(f7166,plain,
    ( spl2_1419
  <=> n29 = sum(n11,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1419])]) ).

fof(f1383,plain,
    n29 = sum(n11,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f7164,plain,
    spl2_1418,
    inference(avatar_split_clause,[],[f1381,f7162]) ).

fof(f7162,plain,
    ( spl2_1418
  <=> n6 = sum(n26,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1418])]) ).

fof(f1381,plain,
    n6 = sum(n26,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f7160,plain,
    spl2_1417,
    inference(avatar_split_clause,[],[f1375,f7158]) ).

fof(f7158,plain,
    ( spl2_1417
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1417])]) ).

fof(f1375,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f7156,plain,
    spl2_1416,
    inference(avatar_split_clause,[],[f1374,f7154]) ).

fof(f7154,plain,
    ( spl2_1416
  <=> n13 = sum(n22,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1416])]) ).

fof(f1374,plain,
    n13 = sum(n22,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f7152,plain,
    spl2_1415,
    inference(avatar_split_clause,[],[f1372,f7150]) ).

fof(f7150,plain,
    ( spl2_1415
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1415])]) ).

fof(f1372,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f7148,plain,
    spl2_1414,
    inference(avatar_split_clause,[],[f1371,f7146]) ).

fof(f7146,plain,
    ( spl2_1414
  <=> n11 = sum(n23,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1414])]) ).

fof(f1371,plain,
    n11 = sum(n23,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f7144,plain,
    spl2_1413,
    inference(avatar_split_clause,[],[f1370,f7142]) ).

fof(f7142,plain,
    ( spl2_1413
  <=> n29 = sum(n23,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1413])]) ).

fof(f1370,plain,
    n29 = sum(n23,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f7140,plain,
    spl2_1412,
    inference(avatar_split_clause,[],[f1369,f7138]) ).

fof(f7138,plain,
    ( spl2_1412
  <=> n26 = sum(n27,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1412])]) ).

fof(f1369,plain,
    n26 = sum(n27,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f7136,plain,
    spl2_1411,
    inference(avatar_split_clause,[],[f1367,f7134]) ).

fof(f7134,plain,
    ( spl2_1411
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1411])]) ).

fof(f1367,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f7132,plain,
    spl2_1410,
    inference(avatar_split_clause,[],[f1364,f7130]) ).

fof(f7130,plain,
    ( spl2_1410
  <=> n1 = sum(n7,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1410])]) ).

fof(f1364,plain,
    n1 = sum(n7,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f7128,plain,
    spl2_1409,
    inference(avatar_split_clause,[],[f1363,f7126]) ).

fof(f7126,plain,
    ( spl2_1409
  <=> n21 = sum(n25,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1409])]) ).

fof(f1363,plain,
    n21 = sum(n25,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f7124,plain,
    spl2_1408,
    inference(avatar_split_clause,[],[f1361,f7122]) ).

fof(f7122,plain,
    ( spl2_1408
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1408])]) ).

fof(f1361,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f7120,plain,
    spl2_1407,
    inference(avatar_split_clause,[],[f1359,f7118]) ).

fof(f7118,plain,
    ( spl2_1407
  <=> n15 = sum(n23,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1407])]) ).

fof(f1359,plain,
    n15 = sum(n23,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f7116,plain,
    spl2_1406,
    inference(avatar_split_clause,[],[f1358,f7114]) ).

fof(f7114,plain,
    ( spl2_1406
  <=> n20 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1406])]) ).

fof(f1358,plain,
    n20 = sum(n12,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f7112,plain,
    spl2_1405,
    inference(avatar_split_clause,[],[f1357,f7110]) ).

fof(f7110,plain,
    ( spl2_1405
  <=> n1 = sum(n19,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1405])]) ).

fof(f1357,plain,
    n1 = sum(n19,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f7108,plain,
    spl2_1404,
    inference(avatar_split_clause,[],[f1356,f7106]) ).

fof(f7106,plain,
    ( spl2_1404
  <=> n20 = sum(n21,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1404])]) ).

fof(f1356,plain,
    n20 = sum(n21,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f7104,plain,
    spl2_1403,
    inference(avatar_split_clause,[],[f1355,f7102]) ).

fof(f7102,plain,
    ( spl2_1403
  <=> n17 = sum(n20,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1403])]) ).

fof(f1355,plain,
    n17 = sum(n20,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f7100,plain,
    spl2_1402,
    inference(avatar_split_clause,[],[f1354,f7098]) ).

fof(f7098,plain,
    ( spl2_1402
  <=> n7 = sum(n30,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1402])]) ).

fof(f1354,plain,
    n7 = sum(n30,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f7096,plain,
    spl2_1401,
    inference(avatar_split_clause,[],[f1351,f7094]) ).

fof(f1351,plain,
    n23 = sum(n27,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f7092,plain,
    spl2_1400,
    inference(avatar_split_clause,[],[f1348,f7090]) ).

fof(f7090,plain,
    ( spl2_1400
  <=> n6 = sum(n24,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1400])]) ).

fof(f1348,plain,
    n6 = sum(n24,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f7088,plain,
    spl2_1399,
    inference(avatar_split_clause,[],[f1347,f7086]) ).

fof(f7086,plain,
    ( spl2_1399
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1399])]) ).

fof(f1347,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f7084,plain,
    spl2_1398,
    inference(avatar_split_clause,[],[f1346,f7082]) ).

fof(f7082,plain,
    ( spl2_1398
  <=> n5 = sum(n21,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1398])]) ).

fof(f1346,plain,
    n5 = sum(n21,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f7080,plain,
    spl2_1397,
    inference(avatar_split_clause,[],[f1343,f7078]) ).

fof(f7078,plain,
    ( spl2_1397
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1397])]) ).

fof(f1343,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f7076,plain,
    spl2_1396,
    inference(avatar_split_clause,[],[f1342,f7074]) ).

fof(f7074,plain,
    ( spl2_1396
  <=> n30 = sum(n0,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1396])]) ).

fof(f1342,plain,
    n30 = sum(n0,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f7072,plain,
    spl2_1395,
    inference(avatar_split_clause,[],[f1341,f7070]) ).

fof(f7070,plain,
    ( spl2_1395
  <=> n17 = sum(n1,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1395])]) ).

fof(f1341,plain,
    n17 = sum(n1,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f7068,plain,
    spl2_1394,
    inference(avatar_split_clause,[],[f1337,f7066]) ).

fof(f7066,plain,
    ( spl2_1394
  <=> n19 = sum(n18,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1394])]) ).

fof(f1337,plain,
    n19 = sum(n18,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f7064,plain,
    spl2_1393,
    inference(avatar_split_clause,[],[f1336,f7062]) ).

fof(f7062,plain,
    ( spl2_1393
  <=> n16 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1393])]) ).

fof(f1336,plain,
    n16 = sum(n3,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f7060,plain,
    spl2_1392,
    inference(avatar_split_clause,[],[f1333,f7058]) ).

fof(f7058,plain,
    ( spl2_1392
  <=> n4 = sum(n8,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1392])]) ).

fof(f1333,plain,
    n4 = sum(n8,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f7056,plain,
    spl2_1391,
    inference(avatar_split_clause,[],[f1332,f7054]) ).

fof(f7054,plain,
    ( spl2_1391
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1391])]) ).

fof(f1332,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f7052,plain,
    spl2_1390,
    inference(avatar_split_clause,[],[f1330,f7050]) ).

fof(f7050,plain,
    ( spl2_1390
  <=> n16 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1390])]) ).

fof(f1330,plain,
    n16 = sum(n6,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f7048,plain,
    spl2_1389,
    inference(avatar_split_clause,[],[f1327,f7046]) ).

fof(f7046,plain,
    ( spl2_1389
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1389])]) ).

fof(f1327,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f7044,plain,
    spl2_1388,
    inference(avatar_split_clause,[],[f1326,f7042]) ).

fof(f7042,plain,
    ( spl2_1388
  <=> n23 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1388])]) ).

fof(f1326,plain,
    n23 = sum(n11,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f7040,plain,
    spl2_1387,
    inference(avatar_split_clause,[],[f1325,f7038]) ).

fof(f7038,plain,
    ( spl2_1387
  <=> n1 = sum(n28,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1387])]) ).

fof(f1325,plain,
    n1 = sum(n28,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f7036,plain,
    spl2_1386,
    inference(avatar_split_clause,[],[f1323,f7034]) ).

fof(f7034,plain,
    ( spl2_1386
  <=> n29 = sum(n19,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1386])]) ).

fof(f1323,plain,
    n29 = sum(n19,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f7032,plain,
    spl2_1385,
    inference(avatar_split_clause,[],[f1322,f7030]) ).

fof(f7030,plain,
    ( spl2_1385
  <=> n24 = sum(n29,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1385])]) ).

fof(f1322,plain,
    n24 = sum(n29,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f7028,plain,
    spl2_1384,
    inference(avatar_split_clause,[],[f1319,f7026]) ).

fof(f7026,plain,
    ( spl2_1384
  <=> n6 = sum(n22,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1384])]) ).

fof(f1319,plain,
    n6 = sum(n22,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f7024,plain,
    spl2_1383,
    inference(avatar_split_clause,[],[f1317,f7022]) ).

fof(f7022,plain,
    ( spl2_1383
  <=> n24 = sum(n5,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1383])]) ).

fof(f1317,plain,
    n24 = sum(n5,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f7020,plain,
    spl2_1382,
    inference(avatar_split_clause,[],[f1316,f7018]) ).

fof(f7018,plain,
    ( spl2_1382
  <=> n2 = sum(n16,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1382])]) ).

fof(f1316,plain,
    n2 = sum(n16,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f7016,plain,
    spl2_1381,
    inference(avatar_split_clause,[],[f1315,f7014]) ).

fof(f7014,plain,
    ( spl2_1381
  <=> n17 = sum(n29,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1381])]) ).

fof(f1315,plain,
    n17 = sum(n29,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f7012,plain,
    spl2_1380,
    inference(avatar_split_clause,[],[f1314,f7010]) ).

fof(f7010,plain,
    ( spl2_1380
  <=> n27 = sum(n3,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1380])]) ).

fof(f1314,plain,
    n27 = sum(n3,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f7008,plain,
    spl2_1379,
    inference(avatar_split_clause,[],[f1313,f7006]) ).

fof(f7006,plain,
    ( spl2_1379
  <=> n0 = sum(n22,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1379])]) ).

fof(f1313,plain,
    n0 = sum(n22,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f7004,plain,
    spl2_1378,
    inference(avatar_split_clause,[],[f1312,f7002]) ).

fof(f7002,plain,
    ( spl2_1378
  <=> n2 = sum(n10,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1378])]) ).

fof(f1312,plain,
    n2 = sum(n10,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f7000,plain,
    spl2_1377,
    inference(avatar_split_clause,[],[f1311,f6998]) ).

fof(f6998,plain,
    ( spl2_1377
  <=> n9 = sum(n25,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1377])]) ).

fof(f1311,plain,
    n9 = sum(n25,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f6996,plain,
    spl2_1376,
    inference(avatar_split_clause,[],[f1309,f6994]) ).

fof(f6994,plain,
    ( spl2_1376
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1376])]) ).

fof(f1309,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6992,plain,
    spl2_1375,
    inference(avatar_split_clause,[],[f1307,f6990]) ).

fof(f6990,plain,
    ( spl2_1375
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1375])]) ).

fof(f1307,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6988,plain,
    spl2_1374,
    inference(avatar_split_clause,[],[f1302,f6986]) ).

fof(f6986,plain,
    ( spl2_1374
  <=> n10 = sum(n17,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1374])]) ).

fof(f1302,plain,
    n10 = sum(n17,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6984,plain,
    spl2_1373,
    inference(avatar_split_clause,[],[f1301,f6982]) ).

fof(f6982,plain,
    ( spl2_1373
  <=> n19 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1373])]) ).

fof(f1301,plain,
    n19 = sum(n5,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f6980,plain,
    spl2_1372,
    inference(avatar_split_clause,[],[f1299,f6978]) ).

fof(f6978,plain,
    ( spl2_1372
  <=> n9 = sum(n29,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1372])]) ).

fof(f1299,plain,
    n9 = sum(n29,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6976,plain,
    spl2_1371,
    inference(avatar_split_clause,[],[f1298,f6974]) ).

fof(f6974,plain,
    ( spl2_1371
  <=> n21 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1371])]) ).

fof(f1298,plain,
    n21 = sum(n14,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6972,plain,
    spl2_1370,
    inference(avatar_split_clause,[],[f1296,f6970]) ).

fof(f6970,plain,
    ( spl2_1370
  <=> n16 = sum(n24,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1370])]) ).

fof(f1296,plain,
    n16 = sum(n24,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6968,plain,
    spl2_1369,
    inference(avatar_split_clause,[],[f1295,f6966]) ).

fof(f6966,plain,
    ( spl2_1369
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1369])]) ).

fof(f1295,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6964,plain,
    spl2_1368,
    inference(avatar_split_clause,[],[f1293,f6962]) ).

fof(f6962,plain,
    ( spl2_1368
  <=> n24 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1368])]) ).

fof(f1293,plain,
    n24 = sum(n12,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6960,plain,
    spl2_1367,
    inference(avatar_split_clause,[],[f1292,f6958]) ).

fof(f6958,plain,
    ( spl2_1367
  <=> n1 = sum(n11,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1367])]) ).

fof(f1292,plain,
    n1 = sum(n11,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6956,plain,
    spl2_1366,
    inference(avatar_split_clause,[],[f1291,f6954]) ).

fof(f6954,plain,
    ( spl2_1366
  <=> n8 = sum(n18,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1366])]) ).

fof(f1291,plain,
    n8 = sum(n18,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6952,plain,
    spl2_1365,
    inference(avatar_split_clause,[],[f1290,f6950]) ).

fof(f6950,plain,
    ( spl2_1365
  <=> n19 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1365])]) ).

fof(f1290,plain,
    n19 = sum(n10,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6948,plain,
    spl2_1364,
    inference(avatar_split_clause,[],[f1289,f6946]) ).

fof(f6946,plain,
    ( spl2_1364
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1364])]) ).

fof(f1289,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6944,plain,
    spl2_1363,
    inference(avatar_split_clause,[],[f1287,f6942]) ).

fof(f6942,plain,
    ( spl2_1363
  <=> n18 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1363])]) ).

fof(f1287,plain,
    n18 = sum(n4,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f6940,plain,
    spl2_1362,
    inference(avatar_split_clause,[],[f1285,f6938]) ).

fof(f6938,plain,
    ( spl2_1362
  <=> n26 = sum(n22,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1362])]) ).

fof(f1285,plain,
    n26 = sum(n22,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6936,plain,
    spl2_1361,
    inference(avatar_split_clause,[],[f1284,f6934]) ).

fof(f6934,plain,
    ( spl2_1361
  <=> n26 = sum(n21,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1361])]) ).

fof(f1284,plain,
    n26 = sum(n21,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6932,plain,
    spl2_1360,
    inference(avatar_split_clause,[],[f1281,f6930]) ).

fof(f6930,plain,
    ( spl2_1360
  <=> n25 = sum(n21,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1360])]) ).

fof(f1281,plain,
    n25 = sum(n21,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6928,plain,
    spl2_1359,
    inference(avatar_split_clause,[],[f1280,f6926]) ).

fof(f6926,plain,
    ( spl2_1359
  <=> n4 = sum(n24,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1359])]) ).

fof(f1280,plain,
    n4 = sum(n24,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6924,plain,
    spl2_1358,
    inference(avatar_split_clause,[],[f1278,f6922]) ).

fof(f6922,plain,
    ( spl2_1358
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1358])]) ).

fof(f1278,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6920,plain,
    spl2_1357,
    inference(avatar_split_clause,[],[f1277,f6918]) ).

fof(f6918,plain,
    ( spl2_1357
  <=> n21 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1357])]) ).

fof(f1277,plain,
    n21 = sum(n6,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f6916,plain,
    spl2_1356,
    inference(avatar_split_clause,[],[f1276,f6914]) ).

fof(f6914,plain,
    ( spl2_1356
  <=> n28 = sum(n23,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1356])]) ).

fof(f1276,plain,
    n28 = sum(n23,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6912,plain,
    spl2_1355,
    inference(avatar_split_clause,[],[f1273,f6910]) ).

fof(f6910,plain,
    ( spl2_1355
  <=> n8 = sum(n23,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1355])]) ).

fof(f1273,plain,
    n8 = sum(n23,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6908,plain,
    spl2_1354,
    inference(avatar_split_clause,[],[f1271,f6906]) ).

fof(f6906,plain,
    ( spl2_1354
  <=> n26 = sum(n4,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1354])]) ).

fof(f1271,plain,
    n26 = sum(n4,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6904,plain,
    spl2_1353,
    inference(avatar_split_clause,[],[f1267,f6902]) ).

fof(f6902,plain,
    ( spl2_1353
  <=> n14 = sum(n22,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1353])]) ).

fof(f1267,plain,
    n14 = sum(n22,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6900,plain,
    spl2_1352,
    inference(avatar_split_clause,[],[f1266,f6898]) ).

fof(f6898,plain,
    ( spl2_1352
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1352])]) ).

fof(f1266,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6896,plain,
    spl2_1351,
    inference(avatar_split_clause,[],[f1263,f6894]) ).

fof(f6894,plain,
    ( spl2_1351
  <=> n23 = sum(n24,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1351])]) ).

fof(f1263,plain,
    n23 = sum(n24,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f6892,plain,
    spl2_1350,
    inference(avatar_split_clause,[],[f1262,f6890]) ).

fof(f6890,plain,
    ( spl2_1350
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1350])]) ).

fof(f1262,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6888,plain,
    spl2_1349,
    inference(avatar_split_clause,[],[f1261,f6886]) ).

fof(f6886,plain,
    ( spl2_1349
  <=> n25 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1349])]) ).

fof(f1261,plain,
    n25 = sum(n14,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6884,plain,
    spl2_1348,
    inference(avatar_split_clause,[],[f1259,f6882]) ).

fof(f6882,plain,
    ( spl2_1348
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1348])]) ).

fof(f1259,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6880,plain,
    spl2_1347,
    inference(avatar_split_clause,[],[f1258,f6878]) ).

fof(f6878,plain,
    ( spl2_1347
  <=> n0 = sum(n15,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1347])]) ).

fof(f1258,plain,
    n0 = sum(n15,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6876,plain,
    spl2_1346,
    inference(avatar_split_clause,[],[f1255,f6874]) ).

fof(f6874,plain,
    ( spl2_1346
  <=> n23 = sum(n3,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1346])]) ).

fof(f1255,plain,
    n23 = sum(n3,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6872,plain,
    spl2_1345,
    inference(avatar_split_clause,[],[f1254,f6870]) ).

fof(f6870,plain,
    ( spl2_1345
  <=> n26 = sum(n25,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1345])]) ).

fof(f1254,plain,
    n26 = sum(n25,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6868,plain,
    spl2_1344,
    inference(avatar_split_clause,[],[f1253,f6866]) ).

fof(f6866,plain,
    ( spl2_1344
  <=> n16 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1344])]) ).

fof(f1253,plain,
    n16 = sum(n11,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6864,plain,
    spl2_1343,
    inference(avatar_split_clause,[],[f1251,f6862]) ).

fof(f6862,plain,
    ( spl2_1343
  <=> n23 = sum(n22,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1343])]) ).

fof(f1251,plain,
    n23 = sum(n22,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6860,plain,
    spl2_1342,
    inference(avatar_split_clause,[],[f1250,f6858]) ).

fof(f6858,plain,
    ( spl2_1342
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1342])]) ).

fof(f1250,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f6856,plain,
    spl2_1341,
    inference(avatar_split_clause,[],[f1249,f6854]) ).

fof(f6854,plain,
    ( spl2_1341
  <=> n5 = sum(n16,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1341])]) ).

fof(f1249,plain,
    n5 = sum(n16,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6852,plain,
    spl2_1340,
    inference(avatar_split_clause,[],[f1248,f6850]) ).

fof(f6850,plain,
    ( spl2_1340
  <=> n23 = sum(n16,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1340])]) ).

fof(f1248,plain,
    n23 = sum(n16,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6848,plain,
    spl2_1339,
    inference(avatar_split_clause,[],[f1246,f6846]) ).

fof(f6846,plain,
    ( spl2_1339
  <=> n7 = sum(n13,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1339])]) ).

fof(f1246,plain,
    n7 = sum(n13,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6844,plain,
    spl2_1338,
    inference(avatar_split_clause,[],[f1244,f6842]) ).

fof(f6842,plain,
    ( spl2_1338
  <=> n17 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1338])]) ).

fof(f1244,plain,
    n17 = sum(n10,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6840,plain,
    spl2_1337,
    inference(avatar_split_clause,[],[f1241,f6838]) ).

fof(f6838,plain,
    ( spl2_1337
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1337])]) ).

fof(f1241,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6836,plain,
    spl2_1336,
    inference(avatar_split_clause,[],[f1240,f6834]) ).

fof(f6834,plain,
    ( spl2_1336
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1336])]) ).

fof(f1240,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6832,plain,
    spl2_1335,
    inference(avatar_split_clause,[],[f1239,f6830]) ).

fof(f6830,plain,
    ( spl2_1335
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1335])]) ).

fof(f1239,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6828,plain,
    spl2_1334,
    inference(avatar_split_clause,[],[f1238,f6826]) ).

fof(f6826,plain,
    ( spl2_1334
  <=> n15 = sum(n26,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1334])]) ).

fof(f1238,plain,
    n15 = sum(n26,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6824,plain,
    spl2_1333,
    inference(avatar_split_clause,[],[f1237,f6822]) ).

fof(f6822,plain,
    ( spl2_1333
  <=> n3 = sum(n6,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1333])]) ).

fof(f1237,plain,
    n3 = sum(n6,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6820,plain,
    spl2_1332,
    inference(avatar_split_clause,[],[f1235,f6818]) ).

fof(f6818,plain,
    ( spl2_1332
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1332])]) ).

fof(f1235,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6816,plain,
    spl2_1331,
    inference(avatar_split_clause,[],[f1233,f6814]) ).

fof(f6814,plain,
    ( spl2_1331
  <=> n21 = sum(n17,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1331])]) ).

fof(f1233,plain,
    n21 = sum(n17,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6812,plain,
    spl2_1330,
    inference(avatar_split_clause,[],[f1231,f6810]) ).

fof(f6810,plain,
    ( spl2_1330
  <=> n9 = sum(n19,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1330])]) ).

fof(f1231,plain,
    n9 = sum(n19,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6808,plain,
    spl2_1329,
    inference(avatar_split_clause,[],[f1230,f6806]) ).

fof(f6806,plain,
    ( spl2_1329
  <=> n23 = sum(n26,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1329])]) ).

fof(f1230,plain,
    n23 = sum(n26,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6804,plain,
    spl2_1328,
    inference(avatar_split_clause,[],[f1229,f6802]) ).

fof(f6802,plain,
    ( spl2_1328
  <=> n6 = sum(n18,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1328])]) ).

fof(f1229,plain,
    n6 = sum(n18,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6800,plain,
    spl2_1327,
    inference(avatar_split_clause,[],[f1228,f6798]) ).

fof(f6798,plain,
    ( spl2_1327
  <=> n22 = sum(n17,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1327])]) ).

fof(f1228,plain,
    n22 = sum(n17,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6796,plain,
    spl2_1326,
    inference(avatar_split_clause,[],[f1227,f6794]) ).

fof(f6794,plain,
    ( spl2_1326
  <=> n17 = sum(n17,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1326])]) ).

fof(f1227,plain,
    n17 = sum(n17,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6792,plain,
    spl2_1325,
    inference(avatar_split_clause,[],[f1226,f6790]) ).

fof(f6790,plain,
    ( spl2_1325
  <=> n29 = sum(n18,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1325])]) ).

fof(f1226,plain,
    n29 = sum(n18,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6788,plain,
    spl2_1324,
    inference(avatar_split_clause,[],[f1225,f6786]) ).

fof(f6786,plain,
    ( spl2_1324
  <=> n28 = sum(n16,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1324])]) ).

fof(f1225,plain,
    n28 = sum(n16,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6784,plain,
    spl2_1323,
    inference(avatar_split_clause,[],[f1224,f6782]) ).

fof(f6782,plain,
    ( spl2_1323
  <=> n19 = sum(n24,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1323])]) ).

fof(f1224,plain,
    n19 = sum(n24,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6780,plain,
    spl2_1322,
    inference(avatar_split_clause,[],[f1223,f6778]) ).

fof(f6778,plain,
    ( spl2_1322
  <=> n30 = sum(n21,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1322])]) ).

fof(f1223,plain,
    n30 = sum(n21,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6776,plain,
    spl2_1321,
    inference(avatar_split_clause,[],[f1222,f6774]) ).

fof(f6774,plain,
    ( spl2_1321
  <=> n2 = sum(n17,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1321])]) ).

fof(f1222,plain,
    n2 = sum(n17,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6772,plain,
    spl2_1320,
    inference(avatar_split_clause,[],[f1221,f6770]) ).

fof(f6770,plain,
    ( spl2_1320
  <=> n15 = sum(n20,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1320])]) ).

fof(f1221,plain,
    n15 = sum(n20,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6768,plain,
    spl2_1319,
    inference(avatar_split_clause,[],[f1219,f6766]) ).

fof(f6766,plain,
    ( spl2_1319
  <=> n0 = sum(n23,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1319])]) ).

fof(f1219,plain,
    n0 = sum(n23,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6764,plain,
    spl2_1318,
    inference(avatar_split_clause,[],[f1217,f6762]) ).

fof(f6762,plain,
    ( spl2_1318
  <=> n15 = sum(n30,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1318])]) ).

fof(f1217,plain,
    n15 = sum(n30,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6760,plain,
    spl2_1317,
    inference(avatar_split_clause,[],[f1216,f6758]) ).

fof(f6758,plain,
    ( spl2_1317
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1317])]) ).

fof(f1216,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6756,plain,
    spl2_1316,
    inference(avatar_split_clause,[],[f1215,f6754]) ).

fof(f6754,plain,
    ( spl2_1316
  <=> n13 = sum(n28,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1316])]) ).

fof(f1215,plain,
    n13 = sum(n28,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6752,plain,
    spl2_1315,
    inference(avatar_split_clause,[],[f1214,f6750]) ).

fof(f6750,plain,
    ( spl2_1315
  <=> n13 = sum(n25,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1315])]) ).

fof(f1214,plain,
    n13 = sum(n25,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6748,plain,
    spl2_1314,
    inference(avatar_split_clause,[],[f1212,f6746]) ).

fof(f6746,plain,
    ( spl2_1314
  <=> n17 = sum(n21,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1314])]) ).

fof(f1212,plain,
    n17 = sum(n21,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f6744,plain,
    spl2_1313,
    inference(avatar_split_clause,[],[f1210,f6742]) ).

fof(f6742,plain,
    ( spl2_1313
  <=> n27 = sum(n8,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1313])]) ).

fof(f1210,plain,
    n27 = sum(n8,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6740,plain,
    spl2_1312,
    inference(avatar_split_clause,[],[f1208,f6738]) ).

fof(f6738,plain,
    ( spl2_1312
  <=> n19 = sum(n17,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1312])]) ).

fof(f1208,plain,
    n19 = sum(n17,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6736,plain,
    spl2_1311,
    inference(avatar_split_clause,[],[f1207,f6734]) ).

fof(f6734,plain,
    ( spl2_1311
  <=> n19 = sum(n1,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1311])]) ).

fof(f1207,plain,
    n19 = sum(n1,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6732,plain,
    spl2_1310,
    inference(avatar_split_clause,[],[f1206,f6730]) ).

fof(f6730,plain,
    ( spl2_1310
  <=> n5 = sum(n24,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1310])]) ).

fof(f1206,plain,
    n5 = sum(n24,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6728,plain,
    spl2_1309,
    inference(avatar_split_clause,[],[f1204,f6726]) ).

fof(f6726,plain,
    ( spl2_1309
  <=> n28 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1309])]) ).

fof(f1204,plain,
    n28 = sum(n15,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f6724,plain,
    spl2_1308,
    inference(avatar_split_clause,[],[f1202,f6722]) ).

fof(f6722,plain,
    ( spl2_1308
  <=> n30 = sum(n28,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1308])]) ).

fof(f1202,plain,
    n30 = sum(n28,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6720,plain,
    spl2_1307,
    inference(avatar_split_clause,[],[f1201,f6718]) ).

fof(f6718,plain,
    ( spl2_1307
  <=> n0 = sum(n29,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1307])]) ).

fof(f1201,plain,
    n0 = sum(n29,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6716,plain,
    spl2_1306,
    inference(avatar_split_clause,[],[f1200,f6714]) ).

fof(f6714,plain,
    ( spl2_1306
  <=> n10 = sum(n14,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1306])]) ).

fof(f1200,plain,
    n10 = sum(n14,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f6712,plain,
    spl2_1305,
    inference(avatar_split_clause,[],[f1199,f6710]) ).

fof(f6710,plain,
    ( spl2_1305
  <=> n5 = sum(n17,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1305])]) ).

fof(f1199,plain,
    n5 = sum(n17,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6708,plain,
    spl2_1304,
    inference(avatar_split_clause,[],[f1198,f6706]) ).

fof(f6706,plain,
    ( spl2_1304
  <=> n9 = sum(n16,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1304])]) ).

fof(f1198,plain,
    n9 = sum(n16,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6704,plain,
    spl2_1303,
    inference(avatar_split_clause,[],[f1197,f6702]) ).

fof(f6702,plain,
    ( spl2_1303
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1303])]) ).

fof(f1197,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6700,plain,
    spl2_1302,
    inference(avatar_split_clause,[],[f1196,f6698]) ).

fof(f6698,plain,
    ( spl2_1302
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1302])]) ).

fof(f1196,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6696,plain,
    spl2_1301,
    inference(avatar_split_clause,[],[f1195,f6694]) ).

fof(f6694,plain,
    ( spl2_1301
  <=> n24 = sum(n0,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1301])]) ).

fof(f1195,plain,
    n24 = sum(n0,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6692,plain,
    spl2_1300,
    inference(avatar_split_clause,[],[f1193,f6690]) ).

fof(f6690,plain,
    ( spl2_1300
  <=> n28 = sum(n27,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1300])]) ).

fof(f1193,plain,
    n28 = sum(n27,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6688,plain,
    spl2_1299,
    inference(avatar_split_clause,[],[f1192,f6686]) ).

fof(f6686,plain,
    ( spl2_1299
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1299])]) ).

fof(f1192,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6684,plain,
    spl2_1298,
    inference(avatar_split_clause,[],[f1191,f6682]) ).

fof(f6682,plain,
    ( spl2_1298
  <=> n23 = sum(n20,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1298])]) ).

fof(f1191,plain,
    n23 = sum(n20,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6680,plain,
    spl2_1297,
    inference(avatar_split_clause,[],[f1190,f6678]) ).

fof(f6678,plain,
    ( spl2_1297
  <=> n7 = sum(n14,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1297])]) ).

fof(f1190,plain,
    n7 = sum(n14,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6676,plain,
    spl2_1296,
    inference(avatar_split_clause,[],[f1189,f6674]) ).

fof(f6674,plain,
    ( spl2_1296
  <=> n18 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1296])]) ).

fof(f1189,plain,
    n18 = sum(n9,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6672,plain,
    spl2_1295,
    inference(avatar_split_clause,[],[f1188,f6670]) ).

fof(f6670,plain,
    ( spl2_1295
  <=> n28 = sum(n28,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1295])]) ).

fof(f1188,plain,
    n28 = sum(n28,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6668,plain,
    spl2_1294,
    inference(avatar_split_clause,[],[f1187,f6666]) ).

fof(f6666,plain,
    ( spl2_1294
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1294])]) ).

fof(f1187,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6664,plain,
    spl2_1293,
    inference(avatar_split_clause,[],[f1186,f6662]) ).

fof(f6662,plain,
    ( spl2_1293
  <=> n10 = sum(n12,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1293])]) ).

fof(f1186,plain,
    n10 = sum(n12,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6660,plain,
    spl2_1292,
    inference(avatar_split_clause,[],[f1185,f6658]) ).

fof(f6658,plain,
    ( spl2_1292
  <=> n30 = sum(n10,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1292])]) ).

fof(f1185,plain,
    n30 = sum(n10,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6656,plain,
    spl2_1291,
    inference(avatar_split_clause,[],[f1183,f6654]) ).

fof(f6654,plain,
    ( spl2_1291
  <=> n5 = sum(n11,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1291])]) ).

fof(f1183,plain,
    n5 = sum(n11,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6652,plain,
    spl2_1290,
    inference(avatar_split_clause,[],[f1180,f6650]) ).

fof(f6650,plain,
    ( spl2_1290
  <=> n10 = sum(n19,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1290])]) ).

fof(f1180,plain,
    n10 = sum(n19,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6648,plain,
    spl2_1289,
    inference(avatar_split_clause,[],[f1178,f6646]) ).

fof(f6646,plain,
    ( spl2_1289
  <=> n22 = sum(n30,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1289])]) ).

fof(f1178,plain,
    n22 = sum(n30,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6644,plain,
    spl2_1288,
    inference(avatar_split_clause,[],[f1177,f6642]) ).

fof(f6642,plain,
    ( spl2_1288
  <=> n29 = sum(n24,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1288])]) ).

fof(f1177,plain,
    n29 = sum(n24,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6640,plain,
    spl2_1287,
    inference(avatar_split_clause,[],[f1176,f6638]) ).

fof(f6638,plain,
    ( spl2_1287
  <=> n20 = sum(n17,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1287])]) ).

fof(f1176,plain,
    n20 = sum(n17,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6636,plain,
    spl2_1286,
    inference(avatar_split_clause,[],[f1175,f6634]) ).

fof(f6634,plain,
    ( spl2_1286
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1286])]) ).

fof(f1175,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6632,plain,
    spl2_1285,
    inference(avatar_split_clause,[],[f1174,f6630]) ).

fof(f6630,plain,
    ( spl2_1285
  <=> n24 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1285])]) ).

fof(f1174,plain,
    n24 = sum(n9,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f6628,plain,
    spl2_1284,
    inference(avatar_split_clause,[],[f1173,f6626]) ).

fof(f6626,plain,
    ( spl2_1284
  <=> n16 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1284])]) ).

fof(f1173,plain,
    n16 = sum(n10,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6624,plain,
    spl2_1283,
    inference(avatar_split_clause,[],[f1171,f6622]) ).

fof(f6622,plain,
    ( spl2_1283
  <=> n23 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1283])]) ).

fof(f1171,plain,
    n23 = sum(n13,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6620,plain,
    spl2_1282,
    inference(avatar_split_clause,[],[f1170,f6618]) ).

fof(f6618,plain,
    ( spl2_1282
  <=> n24 = sum(n19,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1282])]) ).

fof(f1170,plain,
    n24 = sum(n19,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6616,plain,
    spl2_1281,
    inference(avatar_split_clause,[],[f1169,f6614]) ).

fof(f6614,plain,
    ( spl2_1281
  <=> n25 = sum(n25,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1281])]) ).

fof(f1169,plain,
    n25 = sum(n25,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6612,plain,
    spl2_1280,
    inference(avatar_split_clause,[],[f1168,f6610]) ).

fof(f6610,plain,
    ( spl2_1280
  <=> n25 = sum(n5,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1280])]) ).

fof(f1168,plain,
    n25 = sum(n5,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6608,plain,
    spl2_1279,
    inference(avatar_split_clause,[],[f1167,f6606]) ).

fof(f6606,plain,
    ( spl2_1279
  <=> n27 = sum(n2,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1279])]) ).

fof(f1167,plain,
    n27 = sum(n2,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6604,plain,
    spl2_1278,
    inference(avatar_split_clause,[],[f1166,f6602]) ).

fof(f6602,plain,
    ( spl2_1278
  <=> n29 = sum(n9,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1278])]) ).

fof(f1166,plain,
    n29 = sum(n9,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6600,plain,
    spl2_1277,
    inference(avatar_split_clause,[],[f1165,f6598]) ).

fof(f6598,plain,
    ( spl2_1277
  <=> n10 = sum(n22,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1277])]) ).

fof(f1165,plain,
    n10 = sum(n22,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6596,plain,
    spl2_1276,
    inference(avatar_split_clause,[],[f1164,f6594]) ).

fof(f6594,plain,
    ( spl2_1276
  <=> n1 = sum(n29,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1276])]) ).

fof(f1164,plain,
    n1 = sum(n29,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6592,plain,
    spl2_1275,
    inference(avatar_split_clause,[],[f1163,f6590]) ).

fof(f6590,plain,
    ( spl2_1275
  <=> n2 = sum(n8,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1275])]) ).

fof(f1163,plain,
    n2 = sum(n8,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6588,plain,
    spl2_1274,
    inference(avatar_split_clause,[],[f1162,f6586]) ).

fof(f6586,plain,
    ( spl2_1274
  <=> n25 = sum(n6,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1274])]) ).

fof(f1162,plain,
    n25 = sum(n6,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6584,plain,
    spl2_1273,
    inference(avatar_split_clause,[],[f1161,f6582]) ).

fof(f6582,plain,
    ( spl2_1273
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1273])]) ).

fof(f1161,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6580,plain,
    spl2_1272,
    inference(avatar_split_clause,[],[f1160,f6578]) ).

fof(f6578,plain,
    ( spl2_1272
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1272])]) ).

fof(f1160,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6576,plain,
    spl2_1271,
    inference(avatar_split_clause,[],[f1159,f6574]) ).

fof(f6574,plain,
    ( spl2_1271
  <=> n28 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1271])]) ).

fof(f1159,plain,
    n28 = sum(n14,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f6572,plain,
    spl2_1270,
    inference(avatar_split_clause,[],[f1158,f6570]) ).

fof(f6570,plain,
    ( spl2_1270
  <=> n19 = sum(n26,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1270])]) ).

fof(f1158,plain,
    n19 = sum(n26,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6568,plain,
    spl2_1269,
    inference(avatar_split_clause,[],[f1157,f6566]) ).

fof(f6566,plain,
    ( spl2_1269
  <=> n24 = sum(n8,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1269])]) ).

fof(f1157,plain,
    n24 = sum(n8,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6564,plain,
    spl2_1268,
    inference(avatar_split_clause,[],[f1154,f6562]) ).

fof(f6562,plain,
    ( spl2_1268
  <=> n0 = sum(n14,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1268])]) ).

fof(f1154,plain,
    n0 = sum(n14,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f6560,plain,
    spl2_1267,
    inference(avatar_split_clause,[],[f1151,f6558]) ).

fof(f6558,plain,
    ( spl2_1267
  <=> n8 = sum(n26,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1267])]) ).

fof(f1151,plain,
    n8 = sum(n26,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f6556,plain,
    spl2_1266,
    inference(avatar_split_clause,[],[f1150,f6554]) ).

fof(f6554,plain,
    ( spl2_1266
  <=> n7 = sum(n20,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1266])]) ).

fof(f1150,plain,
    n7 = sum(n20,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6552,plain,
    spl2_1265,
    inference(avatar_split_clause,[],[f1149,f6550]) ).

fof(f6550,plain,
    ( spl2_1265
  <=> n28 = sum(n12,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1265])]) ).

fof(f1149,plain,
    n28 = sum(n12,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6548,plain,
    spl2_1264,
    inference(avatar_split_clause,[],[f1148,f6546]) ).

fof(f6546,plain,
    ( spl2_1264
  <=> n26 = sum(n5,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1264])]) ).

fof(f1148,plain,
    n26 = sum(n5,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6544,plain,
    spl2_1263,
    inference(avatar_split_clause,[],[f1147,f6542]) ).

fof(f6542,plain,
    ( spl2_1263
  <=> n20 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1263])]) ).

fof(f1147,plain,
    n20 = sum(n9,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6540,plain,
    spl2_1262,
    inference(avatar_split_clause,[],[f1142,f6538]) ).

fof(f6538,plain,
    ( spl2_1262
  <=> n26 = sum(n26,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1262])]) ).

fof(f1142,plain,
    n26 = sum(n26,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6536,plain,
    spl2_1261,
    inference(avatar_split_clause,[],[f1141,f6534]) ).

fof(f6534,plain,
    ( spl2_1261
  <=> n23 = sum(n5,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1261])]) ).

fof(f1141,plain,
    n23 = sum(n5,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6532,plain,
    spl2_1260,
    inference(avatar_split_clause,[],[f1140,f6530]) ).

fof(f6530,plain,
    ( spl2_1260
  <=> n10 = sum(n16,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1260])]) ).

fof(f1140,plain,
    n10 = sum(n16,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6528,plain,
    spl2_1259,
    inference(avatar_split_clause,[],[f1139,f6526]) ).

fof(f6526,plain,
    ( spl2_1259
  <=> n11 = sum(n26,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1259])]) ).

fof(f1139,plain,
    n11 = sum(n26,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6524,plain,
    spl2_1258,
    inference(avatar_split_clause,[],[f1138,f6522]) ).

fof(f6522,plain,
    ( spl2_1258
  <=> n30 = sum(n14,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1258])]) ).

fof(f1138,plain,
    n30 = sum(n14,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6520,plain,
    spl2_1257,
    inference(avatar_split_clause,[],[f1135,f6518]) ).

fof(f6518,plain,
    ( spl2_1257
  <=> n16 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1257])]) ).

fof(f1135,plain,
    n16 = sum(n12,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6516,plain,
    spl2_1256,
    inference(avatar_split_clause,[],[f1133,f6514]) ).

fof(f6514,plain,
    ( spl2_1256
  <=> n9 = sum(n11,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1256])]) ).

fof(f1133,plain,
    n9 = sum(n11,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6512,plain,
    spl2_1255,
    inference(avatar_split_clause,[],[f1130,f6510]) ).

fof(f6510,plain,
    ( spl2_1255
  <=> n27 = sum(n7,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1255])]) ).

fof(f1130,plain,
    n27 = sum(n7,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6508,plain,
    spl2_1254,
    inference(avatar_split_clause,[],[f1129,f6506]) ).

fof(f6506,plain,
    ( spl2_1254
  <=> n30 = sum(n16,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1254])]) ).

fof(f1129,plain,
    n30 = sum(n16,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f6504,plain,
    spl2_1253,
    inference(avatar_split_clause,[],[f1128,f6502]) ).

fof(f6502,plain,
    ( spl2_1253
  <=> n17 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1253])]) ).

fof(f1128,plain,
    n17 = sum(n8,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6500,plain,
    spl2_1252,
    inference(avatar_split_clause,[],[f1123,f6498]) ).

fof(f6498,plain,
    ( spl2_1252
  <=> n19 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1252])]) ).

fof(f1123,plain,
    n19 = sum(n15,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6496,plain,
    spl2_1251,
    inference(avatar_split_clause,[],[f1122,f6494]) ).

fof(f6494,plain,
    ( spl2_1251
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1251])]) ).

fof(f1122,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6492,plain,
    spl2_1250,
    inference(avatar_split_clause,[],[f1121,f6490]) ).

fof(f6490,plain,
    ( spl2_1250
  <=> n16 = sum(n18,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1250])]) ).

fof(f1121,plain,
    n16 = sum(n18,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6488,plain,
    spl2_1249,
    inference(avatar_split_clause,[],[f1120,f6486]) ).

fof(f6486,plain,
    ( spl2_1249
  <=> n21 = sum(n23,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1249])]) ).

fof(f1120,plain,
    n21 = sum(n23,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6484,plain,
    spl2_1248,
    inference(avatar_split_clause,[],[f1118,f6482]) ).

fof(f6482,plain,
    ( spl2_1248
  <=> n18 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1248])]) ).

fof(f1118,plain,
    n18 = sum(n12,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6480,plain,
    spl2_1247,
    inference(avatar_split_clause,[],[f1117,f6478]) ).

fof(f6478,plain,
    ( spl2_1247
  <=> n19 = sum(n21,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1247])]) ).

fof(f1117,plain,
    n19 = sum(n21,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6476,plain,
    spl2_1246,
    inference(avatar_split_clause,[],[f1115,f6474]) ).

fof(f6474,plain,
    ( spl2_1246
  <=> n3 = sum(n19,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1246])]) ).

fof(f1115,plain,
    n3 = sum(n19,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f6472,plain,
    spl2_1245,
    inference(avatar_split_clause,[],[f1114,f6470]) ).

fof(f6470,plain,
    ( spl2_1245
  <=> n10 = sum(n15,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1245])]) ).

fof(f1114,plain,
    n10 = sum(n15,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6468,plain,
    spl2_1244,
    inference(avatar_split_clause,[],[f1112,f6466]) ).

fof(f6466,plain,
    ( spl2_1244
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1244])]) ).

fof(f1112,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6464,plain,
    spl2_1243,
    inference(avatar_split_clause,[],[f1110,f6462]) ).

fof(f6462,plain,
    ( spl2_1243
  <=> n1 = sum(n21,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1243])]) ).

fof(f1110,plain,
    n1 = sum(n21,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6460,plain,
    spl2_1242,
    inference(avatar_split_clause,[],[f1109,f6458]) ).

fof(f6458,plain,
    ( spl2_1242
  <=> n16 = sum(n26,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1242])]) ).

fof(f1109,plain,
    n16 = sum(n26,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6456,plain,
    spl2_1241,
    inference(avatar_split_clause,[],[f1104,f6454]) ).

fof(f6454,plain,
    ( spl2_1241
  <=> n4 = sum(n29,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1241])]) ).

fof(f1104,plain,
    n4 = sum(n29,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6452,plain,
    spl2_1240,
    inference(avatar_split_clause,[],[f1103,f6450]) ).

fof(f6450,plain,
    ( spl2_1240
  <=> n1 = sum(n16,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1240])]) ).

fof(f1103,plain,
    n1 = sum(n16,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6448,plain,
    spl2_1239,
    inference(avatar_split_clause,[],[f1101,f6446]) ).

fof(f6446,plain,
    ( spl2_1239
  <=> n28 = sum(n5,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1239])]) ).

fof(f1101,plain,
    n28 = sum(n5,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6444,plain,
    spl2_1238,
    inference(avatar_split_clause,[],[f1100,f6442]) ).

fof(f6442,plain,
    ( spl2_1238
  <=> n7 = sum(n10,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1238])]) ).

fof(f1100,plain,
    n7 = sum(n10,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6440,plain,
    spl2_1237,
    inference(avatar_split_clause,[],[f1099,f6438]) ).

fof(f6438,plain,
    ( spl2_1237
  <=> n26 = sum(n3,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1237])]) ).

fof(f1099,plain,
    n26 = sum(n3,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6436,plain,
    spl2_1236,
    inference(avatar_split_clause,[],[f1097,f6434]) ).

fof(f6434,plain,
    ( spl2_1236
  <=> n19 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1236])]) ).

fof(f1097,plain,
    n19 = sum(n8,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6432,plain,
    spl2_1235,
    inference(avatar_split_clause,[],[f1096,f6430]) ).

fof(f6430,plain,
    ( spl2_1235
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1235])]) ).

fof(f1096,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6428,plain,
    spl2_1234,
    inference(avatar_split_clause,[],[f1094,f6426]) ).

fof(f6426,plain,
    ( spl2_1234
  <=> n20 = sum(n29,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1234])]) ).

fof(f1094,plain,
    n20 = sum(n29,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6424,plain,
    spl2_1233,
    inference(avatar_split_clause,[],[f1093,f6422]) ).

fof(f6422,plain,
    ( spl2_1233
  <=> n27 = sum(n21,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1233])]) ).

fof(f1093,plain,
    n27 = sum(n21,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6420,plain,
    spl2_1232,
    inference(avatar_split_clause,[],[f1092,f6418]) ).

fof(f6418,plain,
    ( spl2_1232
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1232])]) ).

fof(f1092,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6416,plain,
    spl2_1231,
    inference(avatar_split_clause,[],[f1091,f6414]) ).

fof(f6414,plain,
    ( spl2_1231
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1231])]) ).

fof(f1091,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6412,plain,
    spl2_1230,
    inference(avatar_split_clause,[],[f1090,f6410]) ).

fof(f6410,plain,
    ( spl2_1230
  <=> n16 = sum(n17,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1230])]) ).

fof(f1090,plain,
    n16 = sum(n17,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f6408,plain,
    spl2_1229,
    inference(avatar_split_clause,[],[f1089,f6406]) ).

fof(f6406,plain,
    ( spl2_1229
  <=> n3 = sum(n15,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1229])]) ).

fof(f1089,plain,
    n3 = sum(n15,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6404,plain,
    spl2_1228,
    inference(avatar_split_clause,[],[f1088,f6402]) ).

fof(f6402,plain,
    ( spl2_1228
  <=> n30 = sum(n8,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1228])]) ).

fof(f1088,plain,
    n30 = sum(n8,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6400,plain,
    spl2_1227,
    inference(avatar_split_clause,[],[f1086,f6398]) ).

fof(f6398,plain,
    ( spl2_1227
  <=> n8 = sum(n10,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1227])]) ).

fof(f1086,plain,
    n8 = sum(n10,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6396,plain,
    spl2_1226,
    inference(avatar_split_clause,[],[f1082,f6394]) ).

fof(f6394,plain,
    ( spl2_1226
  <=> n24 = sum(n7,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1226])]) ).

fof(f1082,plain,
    n24 = sum(n7,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f6392,plain,
    spl2_1225,
    inference(avatar_split_clause,[],[f1081,f6390]) ).

fof(f6390,plain,
    ( spl2_1225
  <=> n19 = sum(n0,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1225])]) ).

fof(f1081,plain,
    n19 = sum(n0,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6388,plain,
    spl2_1224,
    inference(avatar_split_clause,[],[f1078,f6386]) ).

fof(f6386,plain,
    ( spl2_1224
  <=> n20 = sum(n3,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1224])]) ).

fof(f1078,plain,
    n20 = sum(n3,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f6384,plain,
    spl2_1223,
    inference(avatar_split_clause,[],[f1077,f6382]) ).

fof(f6382,plain,
    ( spl2_1223
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1223])]) ).

fof(f1077,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6380,plain,
    spl2_1222,
    inference(avatar_split_clause,[],[f1076,f6378]) ).

fof(f6378,plain,
    ( spl2_1222
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1222])]) ).

fof(f1076,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6376,plain,
    spl2_1221,
    inference(avatar_split_clause,[],[f1074,f6374]) ).

fof(f6374,plain,
    ( spl2_1221
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1221])]) ).

fof(f1074,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6372,plain,
    spl2_1220,
    inference(avatar_split_clause,[],[f1073,f6370]) ).

fof(f6370,plain,
    ( spl2_1220
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1220])]) ).

fof(f1073,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6368,plain,
    spl2_1219,
    inference(avatar_split_clause,[],[f1072,f6366]) ).

fof(f6366,plain,
    ( spl2_1219
  <=> n28 = sum(n2,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1219])]) ).

fof(f1072,plain,
    n28 = sum(n2,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6364,plain,
    spl2_1218,
    inference(avatar_split_clause,[],[f1070,f6362]) ).

fof(f6362,plain,
    ( spl2_1218
  <=> n10 = sum(n24,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1218])]) ).

fof(f1070,plain,
    n10 = sum(n24,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f6360,plain,
    spl2_1217,
    inference(avatar_split_clause,[],[f1068,f6358]) ).

fof(f6358,plain,
    ( spl2_1217
  <=> n9 = sum(n10,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1217])]) ).

fof(f1068,plain,
    n9 = sum(n10,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f6356,plain,
    spl2_1216,
    inference(avatar_split_clause,[],[f1067,f6354]) ).

fof(f6354,plain,
    ( spl2_1216
  <=> n20 = sum(n30,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1216])]) ).

fof(f1067,plain,
    n20 = sum(n30,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6352,plain,
    spl2_1215,
    inference(avatar_split_clause,[],[f1066,f6350]) ).

fof(f6350,plain,
    ( spl2_1215
  <=> n14 = sum(n18,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1215])]) ).

fof(f1066,plain,
    n14 = sum(n18,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f6348,plain,
    spl2_1214,
    inference(avatar_split_clause,[],[f1065,f6346]) ).

fof(f6346,plain,
    ( spl2_1214
  <=> n19 = sum(n23,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1214])]) ).

fof(f1065,plain,
    n19 = sum(n23,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f6344,plain,
    spl2_1213,
    inference(avatar_split_clause,[],[f1064,f6342]) ).

fof(f6342,plain,
    ( spl2_1213
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1213])]) ).

fof(f1064,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6340,plain,
    spl2_1212,
    inference(avatar_split_clause,[],[f1061,f6338]) ).

fof(f6338,plain,
    ( spl2_1212
  <=> n28 = sum(n26,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1212])]) ).

fof(f1061,plain,
    n28 = sum(n26,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6336,plain,
    spl2_1211,
    inference(avatar_split_clause,[],[f1059,f6334]) ).

fof(f6334,plain,
    ( spl2_1211
  <=> n20 = sum(n18,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1211])]) ).

fof(f1059,plain,
    n20 = sum(n18,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6332,plain,
    spl2_1210,
    inference(avatar_split_clause,[],[f1057,f6330]) ).

fof(f6330,plain,
    ( spl2_1210
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1210])]) ).

fof(f1057,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6328,plain,
    spl2_1209,
    inference(avatar_split_clause,[],[f1053,f6326]) ).

fof(f6326,plain,
    ( spl2_1209
  <=> n30 = sum(n5,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1209])]) ).

fof(f1053,plain,
    n30 = sum(n5,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6324,plain,
    spl2_1208,
    inference(avatar_split_clause,[],[f1052,f6322]) ).

fof(f6322,plain,
    ( spl2_1208
  <=> n20 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1208])]) ).

fof(f1052,plain,
    n20 = sum(n11,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6320,plain,
    spl2_1207,
    inference(avatar_split_clause,[],[f1051,f6318]) ).

fof(f6318,plain,
    ( spl2_1207
  <=> n20 = sum(n4,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1207])]) ).

fof(f1051,plain,
    n20 = sum(n4,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6316,plain,
    spl2_1206,
    inference(avatar_split_clause,[],[f1050,f6314]) ).

fof(f6314,plain,
    ( spl2_1206
  <=> n18 = sum(n22,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1206])]) ).

fof(f1050,plain,
    n18 = sum(n22,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f6312,plain,
    spl2_1205,
    inference(avatar_split_clause,[],[f1049,f6310]) ).

fof(f6310,plain,
    ( spl2_1205
  <=> n27 = sum(n28,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1205])]) ).

fof(f1049,plain,
    n27 = sum(n28,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f6308,plain,
    spl2_1204,
    inference(avatar_split_clause,[],[f1048,f6306]) ).

fof(f6306,plain,
    ( spl2_1204
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1204])]) ).

fof(f1048,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6304,plain,
    spl2_1203,
    inference(avatar_split_clause,[],[f1046,f6302]) ).

fof(f6302,plain,
    ( spl2_1203
  <=> n20 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1203])]) ).

fof(f1046,plain,
    n20 = sum(n15,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6300,plain,
    spl2_1202,
    inference(avatar_split_clause,[],[f1042,f6298]) ).

fof(f6298,plain,
    ( spl2_1202
  <=> n3 = sum(n30,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1202])]) ).

fof(f1042,plain,
    n3 = sum(n30,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f6296,plain,
    spl2_1201,
    inference(avatar_split_clause,[],[f1040,f6294]) ).

fof(f6294,plain,
    ( spl2_1201
  <=> n28 = sum(n20,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1201])]) ).

fof(f1040,plain,
    n28 = sum(n20,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6292,plain,
    spl2_1200,
    inference(avatar_split_clause,[],[f1039,f6290]) ).

fof(f6290,plain,
    ( spl2_1200
  <=> n23 = sum(n7,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1200])]) ).

fof(f1039,plain,
    n23 = sum(n7,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6288,plain,
    spl2_1199,
    inference(avatar_split_clause,[],[f1037,f6286]) ).

fof(f6286,plain,
    ( spl2_1199
  <=> n17 = sum(n16,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1199])]) ).

fof(f1037,plain,
    n17 = sum(n16,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6284,plain,
    spl2_1198,
    inference(avatar_split_clause,[],[f1035,f6282]) ).

fof(f6282,plain,
    ( spl2_1198
  <=> n23 = sum(n21,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1198])]) ).

fof(f1035,plain,
    n23 = sum(n21,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6280,plain,
    spl2_1197,
    inference(avatar_split_clause,[],[f1034,f6278]) ).

fof(f6278,plain,
    ( spl2_1197
  <=> n25 = sum(n23,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1197])]) ).

fof(f1034,plain,
    n25 = sum(n23,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6276,plain,
    spl2_1196,
    inference(avatar_split_clause,[],[f1032,f6274]) ).

fof(f6274,plain,
    ( spl2_1196
  <=> n6 = sum(n10,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1196])]) ).

fof(f1032,plain,
    n6 = sum(n10,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f6272,plain,
    spl2_1195,
    inference(avatar_split_clause,[],[f1030,f6270]) ).

fof(f6270,plain,
    ( spl2_1195
  <=> n27 = sum(n17,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1195])]) ).

fof(f1030,plain,
    n27 = sum(n17,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6268,plain,
    spl2_1194,
    inference(avatar_split_clause,[],[f1028,f6266]) ).

fof(f6266,plain,
    ( spl2_1194
  <=> n12 = sum(n20,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1194])]) ).

fof(f1028,plain,
    n12 = sum(n20,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6264,plain,
    spl2_1193,
    inference(avatar_split_clause,[],[f1026,f6262]) ).

fof(f6262,plain,
    ( spl2_1193
  <=> n4 = sum(n27,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1193])]) ).

fof(f1026,plain,
    n4 = sum(n27,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6260,plain,
    spl2_1192,
    inference(avatar_split_clause,[],[f1025,f6258]) ).

fof(f6258,plain,
    ( spl2_1192
  <=> n21 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1192])]) ).

fof(f1025,plain,
    n21 = sum(n11,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6256,plain,
    spl2_1191,
    inference(avatar_split_clause,[],[f1023,f6254]) ).

fof(f6254,plain,
    ( spl2_1191
  <=> n26 = sum(n1,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1191])]) ).

fof(f1023,plain,
    n26 = sum(n1,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f6252,plain,
    spl2_1190,
    inference(avatar_split_clause,[],[f1022,f6250]) ).

fof(f6250,plain,
    ( spl2_1190
  <=> n30 = sum(n2,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1190])]) ).

fof(f1022,plain,
    n30 = sum(n2,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6248,plain,
    spl2_1189,
    inference(avatar_split_clause,[],[f1017,f6246]) ).

fof(f6246,plain,
    ( spl2_1189
  <=> n25 = sum(n16,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1189])]) ).

fof(f1017,plain,
    n25 = sum(n16,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6244,plain,
    spl2_1188,
    inference(avatar_split_clause,[],[f1016,f6242]) ).

fof(f6242,plain,
    ( spl2_1188
  <=> n7 = sum(n15,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1188])]) ).

fof(f1016,plain,
    n7 = sum(n15,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6240,plain,
    spl2_1187,
    inference(avatar_split_clause,[],[f1014,f6238]) ).

fof(f6238,plain,
    ( spl2_1187
  <=> n16 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1187])]) ).

fof(f1014,plain,
    n16 = sum(n7,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6236,plain,
    spl2_1186,
    inference(avatar_split_clause,[],[f1012,f6234]) ).

fof(f6234,plain,
    ( spl2_1186
  <=> n30 = sum(n12,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1186])]) ).

fof(f1012,plain,
    n30 = sum(n12,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6232,plain,
    spl2_1185,
    inference(avatar_split_clause,[],[f1011,f6230]) ).

fof(f6230,plain,
    ( spl2_1185
  <=> n18 = sum(n26,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1185])]) ).

fof(f1011,plain,
    n18 = sum(n26,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6228,plain,
    spl2_1184,
    inference(avatar_split_clause,[],[f1010,f6226]) ).

fof(f6226,plain,
    ( spl2_1184
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1184])]) ).

fof(f1010,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6224,plain,
    spl2_1183,
    inference(avatar_split_clause,[],[f1009,f6222]) ).

fof(f6222,plain,
    ( spl2_1183
  <=> n24 = sum(n25,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1183])]) ).

fof(f1009,plain,
    n24 = sum(n25,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f6220,plain,
    spl2_1182,
    inference(avatar_split_clause,[],[f1008,f6218]) ).

fof(f6218,plain,
    ( spl2_1182
  <=> n4 = sum(n25,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1182])]) ).

fof(f1008,plain,
    n4 = sum(n25,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6216,plain,
    spl2_1181,
    inference(avatar_split_clause,[],[f1006,f6214]) ).

fof(f6214,plain,
    ( spl2_1181
  <=> n28 = sum(n8,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1181])]) ).

fof(f1006,plain,
    n28 = sum(n8,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6212,plain,
    spl2_1180,
    inference(avatar_split_clause,[],[f1004,f6210]) ).

fof(f6210,plain,
    ( spl2_1180
  <=> n19 = sum(n19,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1180])]) ).

fof(f1004,plain,
    n19 = sum(n19,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f6208,plain,
    spl2_1179,
    inference(avatar_split_clause,[],[f1002,f6206]) ).

fof(f6206,plain,
    ( spl2_1179
  <=> n20 = sum(n23,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1179])]) ).

fof(f1002,plain,
    n20 = sum(n23,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6204,plain,
    spl2_1178,
    inference(avatar_split_clause,[],[f1001,f6202]) ).

fof(f6202,plain,
    ( spl2_1178
  <=> n1 = sum(n30,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1178])]) ).

fof(f1001,plain,
    n1 = sum(n30,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6200,plain,
    spl2_1177,
    inference(avatar_split_clause,[],[f1000,f6198]) ).

fof(f6198,plain,
    ( spl2_1177
  <=> n19 = sum(n22,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1177])]) ).

fof(f1000,plain,
    n19 = sum(n22,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6196,plain,
    spl2_1176,
    inference(avatar_split_clause,[],[f999,f6194]) ).

fof(f6194,plain,
    ( spl2_1176
  <=> n9 = sum(n24,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1176])]) ).

fof(f999,plain,
    n9 = sum(n24,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f6192,plain,
    spl2_1175,
    inference(avatar_split_clause,[],[f998,f6190]) ).

fof(f6190,plain,
    ( spl2_1175
  <=> n21 = sum(n4,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1175])]) ).

fof(f998,plain,
    n21 = sum(n4,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f6188,plain,
    spl2_1174,
    inference(avatar_split_clause,[],[f996,f6186]) ).

fof(f6186,plain,
    ( spl2_1174
  <=> n17 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1174])]) ).

fof(f996,plain,
    n17 = sum(n6,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6184,plain,
    spl2_1173,
    inference(avatar_split_clause,[],[f995,f6182]) ).

fof(f6182,plain,
    ( spl2_1173
  <=> n18 = sum(n25,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1173])]) ).

fof(f995,plain,
    n18 = sum(n25,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6180,plain,
    spl2_1172,
    inference(avatar_split_clause,[],[f994,f6178]) ).

fof(f6178,plain,
    ( spl2_1172
  <=> n11 = sum(n19,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1172])]) ).

fof(f994,plain,
    n11 = sum(n19,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6176,plain,
    spl2_1171,
    inference(avatar_split_clause,[],[f993,f6174]) ).

fof(f6174,plain,
    ( spl2_1171
  <=> n23 = sum(n28,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1171])]) ).

fof(f993,plain,
    n23 = sum(n28,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6172,plain,
    spl2_1170,
    inference(avatar_split_clause,[],[f990,f6170]) ).

fof(f6170,plain,
    ( spl2_1170
  <=> n0 = sum(n5,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1170])]) ).

fof(f990,plain,
    n0 = sum(n5,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6168,plain,
    spl2_1169,
    inference(avatar_split_clause,[],[f988,f6166]) ).

fof(f6166,plain,
    ( spl2_1169
  <=> n6 = sum(n11,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1169])]) ).

fof(f988,plain,
    n6 = sum(n11,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6164,plain,
    spl2_1168,
    inference(avatar_split_clause,[],[f987,f6162]) ).

fof(f6162,plain,
    ( spl2_1168
  <=> n5 = sum(n25,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1168])]) ).

fof(f987,plain,
    n5 = sum(n25,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6160,plain,
    spl2_1167,
    inference(avatar_split_clause,[],[f985,f6158]) ).

fof(f6158,plain,
    ( spl2_1167
  <=> n17 = sum(n24,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1167])]) ).

fof(f985,plain,
    n17 = sum(n24,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6156,plain,
    spl2_1166,
    inference(avatar_split_clause,[],[f984,f6154]) ).

fof(f6154,plain,
    ( spl2_1166
  <=> n1 = sum(n10,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1166])]) ).

fof(f984,plain,
    n1 = sum(n10,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6152,plain,
    spl2_1165,
    inference(avatar_split_clause,[],[f981,f6150]) ).

fof(f6150,plain,
    ( spl2_1165
  <=> n16 = sum(n29,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1165])]) ).

fof(f981,plain,
    n16 = sum(n29,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6148,plain,
    spl2_1164,
    inference(avatar_split_clause,[],[f980,f6146]) ).

fof(f6146,plain,
    ( spl2_1164
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1164])]) ).

fof(f980,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6144,plain,
    spl2_1163,
    inference(avatar_split_clause,[],[f979,f6142]) ).

fof(f6142,plain,
    ( spl2_1163
  <=> n9 = sum(n17,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1163])]) ).

fof(f979,plain,
    n9 = sum(n17,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6140,plain,
    spl2_1162,
    inference(avatar_split_clause,[],[f972,f6138]) ).

fof(f6138,plain,
    ( spl2_1162
  <=> n4 = sum(n16,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1162])]) ).

fof(f972,plain,
    n4 = sum(n16,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6136,plain,
    spl2_1161,
    inference(avatar_split_clause,[],[f971,f6134]) ).

fof(f6134,plain,
    ( spl2_1161
  <=> n1 = sum(n3,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1161])]) ).

fof(f971,plain,
    n1 = sum(n3,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6132,plain,
    spl2_1160,
    inference(avatar_split_clause,[],[f968,f6130]) ).

fof(f6130,plain,
    ( spl2_1160
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1160])]) ).

fof(f968,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f6128,plain,
    spl2_1159,
    inference(avatar_split_clause,[],[f967,f6126]) ).

fof(f6126,plain,
    ( spl2_1159
  <=> n18 = sum(n0,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1159])]) ).

fof(f967,plain,
    n18 = sum(n0,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6124,plain,
    spl2_1158,
    inference(avatar_split_clause,[],[f966,f6122]) ).

fof(f6122,plain,
    ( spl2_1158
  <=> n12 = sum(n22,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1158])]) ).

fof(f966,plain,
    n12 = sum(n22,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f6120,plain,
    spl2_1157,
    inference(avatar_split_clause,[],[f965,f6118]) ).

fof(f6118,plain,
    ( spl2_1157
  <=> n11 = sum(n24,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1157])]) ).

fof(f965,plain,
    n11 = sum(n24,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6116,plain,
    spl2_1156,
    inference(avatar_split_clause,[],[f964,f6114]) ).

fof(f6114,plain,
    ( spl2_1156
  <=> n1 = sum(n25,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1156])]) ).

fof(f964,plain,
    n1 = sum(n25,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6112,plain,
    spl2_1155,
    inference(avatar_split_clause,[],[f959,f6110]) ).

fof(f6110,plain,
    ( spl2_1155
  <=> n24 = sum(n18,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1155])]) ).

fof(f959,plain,
    n24 = sum(n18,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6108,plain,
    spl2_1154,
    inference(avatar_split_clause,[],[f958,f6106]) ).

fof(f6106,plain,
    ( spl2_1154
  <=> n28 = sum(n9,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1154])]) ).

fof(f958,plain,
    n28 = sum(n9,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f6104,plain,
    spl2_1153,
    inference(avatar_split_clause,[],[f957,f6102]) ).

fof(f6102,plain,
    ( spl2_1153
  <=> n13 = sum(n24,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1153])]) ).

fof(f957,plain,
    n13 = sum(n24,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f6100,plain,
    spl2_1152,
    inference(avatar_split_clause,[],[f956,f6098]) ).

fof(f6098,plain,
    ( spl2_1152
  <=> n5 = sum(n10,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1152])]) ).

fof(f956,plain,
    n5 = sum(n10,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f6096,plain,
    spl2_1151,
    inference(avatar_split_clause,[],[f955,f6094]) ).

fof(f6094,plain,
    ( spl2_1151
  <=> n17 = sum(n26,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1151])]) ).

fof(f955,plain,
    n17 = sum(n26,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6092,plain,
    spl2_1150,
    inference(avatar_split_clause,[],[f954,f6090]) ).

fof(f6090,plain,
    ( spl2_1150
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1150])]) ).

fof(f954,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f6088,plain,
    spl2_1149,
    inference(avatar_split_clause,[],[f953,f6086]) ).

fof(f6086,plain,
    ( spl2_1149
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1149])]) ).

fof(f953,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f6084,plain,
    spl2_1148,
    inference(avatar_split_clause,[],[f952,f6082]) ).

fof(f6082,plain,
    ( spl2_1148
  <=> n12 = sum(n19,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1148])]) ).

fof(f952,plain,
    n12 = sum(n19,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f6080,plain,
    spl2_1147,
    inference(avatar_split_clause,[],[f951,f6078]) ).

fof(f6078,plain,
    ( spl2_1147
  <=> n11 = sum(n30,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1147])]) ).

fof(f951,plain,
    n11 = sum(n30,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6076,plain,
    spl2_1146,
    inference(avatar_split_clause,[],[f950,f6074]) ).

fof(f6074,plain,
    ( spl2_1146
  <=> n4 = sum(n17,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1146])]) ).

fof(f950,plain,
    n4 = sum(n17,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f6072,plain,
    spl2_1145,
    inference(avatar_split_clause,[],[f949,f6070]) ).

fof(f6070,plain,
    ( spl2_1145
  <=> n24 = sum(n17,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1145])]) ).

fof(f949,plain,
    n24 = sum(n17,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f6068,plain,
    spl2_1144,
    inference(avatar_split_clause,[],[f948,f6066]) ).

fof(f6066,plain,
    ( spl2_1144
  <=> n1 = sum(n27,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1144])]) ).

fof(f948,plain,
    n1 = sum(n27,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6064,plain,
    spl2_1143,
    inference(avatar_split_clause,[],[f946,f6062]) ).

fof(f6062,plain,
    ( spl2_1143
  <=> n0 = sum(n20,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1143])]) ).

fof(f946,plain,
    n0 = sum(n20,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f6060,plain,
    spl2_1142,
    inference(avatar_split_clause,[],[f944,f6058]) ).

fof(f6058,plain,
    ( spl2_1142
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1142])]) ).

fof(f944,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6056,plain,
    spl2_1141,
    inference(avatar_split_clause,[],[f942,f6054]) ).

fof(f6054,plain,
    ( spl2_1141
  <=> n9 = sum(n30,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1141])]) ).

fof(f942,plain,
    n9 = sum(n30,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f6052,plain,
    spl2_1140,
    inference(avatar_split_clause,[],[f941,f6050]) ).

fof(f6050,plain,
    ( spl2_1140
  <=> n17 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1140])]) ).

fof(f941,plain,
    n17 = sum(n11,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f6048,plain,
    spl2_1139,
    inference(avatar_split_clause,[],[f939,f6046]) ).

fof(f6046,plain,
    ( spl2_1139
  <=> n29 = sum(n17,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1139])]) ).

fof(f939,plain,
    n29 = sum(n17,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f6044,plain,
    spl2_1138,
    inference(avatar_split_clause,[],[f938,f6042]) ).

fof(f6042,plain,
    ( spl2_1138
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1138])]) ).

fof(f938,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f6040,plain,
    spl2_1137,
    inference(avatar_split_clause,[],[f937,f6038]) ).

fof(f6038,plain,
    ( spl2_1137
  <=> n3 = sum(n11,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1137])]) ).

fof(f937,plain,
    n3 = sum(n11,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f6036,plain,
    spl2_1136,
    inference(avatar_split_clause,[],[f936,f6034]) ).

fof(f6034,plain,
    ( spl2_1136
  <=> n12 = sum(n28,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1136])]) ).

fof(f936,plain,
    n12 = sum(n28,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f6032,plain,
    spl2_1135,
    inference(avatar_split_clause,[],[f935,f6030]) ).

fof(f6030,plain,
    ( spl2_1135
  <=> n18 = sum(n27,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1135])]) ).

fof(f935,plain,
    n18 = sum(n27,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f6028,plain,
    spl2_1134,
    inference(avatar_split_clause,[],[f932,f6026]) ).

fof(f6026,plain,
    ( spl2_1134
  <=> n22 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1134])]) ).

fof(f932,plain,
    n22 = sum(n13,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f6024,plain,
    spl2_1133,
    inference(avatar_split_clause,[],[f931,f6022]) ).

fof(f6022,plain,
    ( spl2_1133
  <=> n14 = sum(n30,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1133])]) ).

fof(f931,plain,
    n14 = sum(n30,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f6020,plain,
    spl2_1132,
    inference(avatar_split_clause,[],[f930,f6018]) ).

fof(f6018,plain,
    ( spl2_1132
  <=> n24 = sum(n27,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1132])]) ).

fof(f930,plain,
    n24 = sum(n27,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f6016,plain,
    spl2_1131,
    inference(avatar_split_clause,[],[f928,f6014]) ).

fof(f6014,plain,
    ( spl2_1131
  <=> n5 = sum(n28,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1131])]) ).

fof(f928,plain,
    n5 = sum(n28,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f6012,plain,
    spl2_1130,
    inference(avatar_split_clause,[],[f927,f6010]) ).

fof(f6010,plain,
    ( spl2_1130
  <=> n8 = sum(n25,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1130])]) ).

fof(f927,plain,
    n8 = sum(n25,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f6008,plain,
    spl2_1129,
    inference(avatar_split_clause,[],[f926,f6006]) ).

fof(f6006,plain,
    ( spl2_1129
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1129])]) ).

fof(f926,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f6004,plain,
    spl2_1128,
    inference(avatar_split_clause,[],[f925,f6002]) ).

fof(f6002,plain,
    ( spl2_1128
  <=> n20 = sum(n22,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1128])]) ).

fof(f925,plain,
    n20 = sum(n22,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f6000,plain,
    spl2_1127,
    inference(avatar_split_clause,[],[f924,f5998]) ).

fof(f5998,plain,
    ( spl2_1127
  <=> n22 = sum(n28,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1127])]) ).

fof(f924,plain,
    n22 = sum(n28,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5996,plain,
    spl2_1126,
    inference(avatar_split_clause,[],[f921,f5994]) ).

fof(f5994,plain,
    ( spl2_1126
  <=> n28 = sum(n25,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1126])]) ).

fof(f921,plain,
    n28 = sum(n25,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5992,plain,
    spl2_1125,
    inference(avatar_split_clause,[],[f919,f5990]) ).

fof(f5990,plain,
    ( spl2_1125
  <=> n5 = sum(n23,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1125])]) ).

fof(f919,plain,
    n5 = sum(n23,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5988,plain,
    spl2_1124,
    inference(avatar_split_clause,[],[f917,f5986]) ).

fof(f5986,plain,
    ( spl2_1124
  <=> n19 = sum(n2,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1124])]) ).

fof(f917,plain,
    n19 = sum(n2,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5984,plain,
    spl2_1123,
    inference(avatar_split_clause,[],[f916,f5982]) ).

fof(f5982,plain,
    ( spl2_1123
  <=> n4 = sum(n12,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1123])]) ).

fof(f916,plain,
    n4 = sum(n12,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5980,plain,
    spl2_1122,
    inference(avatar_split_clause,[],[f913,f5978]) ).

fof(f5978,plain,
    ( spl2_1122
  <=> n16 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1122])]) ).

fof(f913,plain,
    n16 = sum(n4,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5976,plain,
    spl2_1121,
    inference(avatar_split_clause,[],[f910,f5974]) ).

fof(f5974,plain,
    ( spl2_1121
  <=> n11 = sum(n16,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1121])]) ).

fof(f910,plain,
    n11 = sum(n16,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5972,plain,
    spl2_1120,
    inference(avatar_split_clause,[],[f909,f5970]) ).

fof(f5970,plain,
    ( spl2_1120
  <=> n18 = sum(n19,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1120])]) ).

fof(f909,plain,
    n18 = sum(n19,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5968,plain,
    spl2_1119,
    inference(avatar_split_clause,[],[f908,f5966]) ).

fof(f5966,plain,
    ( spl2_1119
  <=> n24 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1119])]) ).

fof(f908,plain,
    n24 = sum(n14,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5964,plain,
    spl2_1118,
    inference(avatar_split_clause,[],[f907,f5962]) ).

fof(f5962,plain,
    ( spl2_1118
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1118])]) ).

fof(f907,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5960,plain,
    spl2_1117,
    inference(avatar_split_clause,[],[f905,f5958]) ).

fof(f5958,plain,
    ( spl2_1117
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1117])]) ).

fof(f905,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5956,plain,
    spl2_1116,
    inference(avatar_split_clause,[],[f903,f5954]) ).

fof(f5954,plain,
    ( spl2_1116
  <=> n25 = sum(n29,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1116])]) ).

fof(f903,plain,
    n25 = sum(n29,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5952,plain,
    spl2_1115,
    inference(avatar_split_clause,[],[f901,f5950]) ).

fof(f5950,plain,
    ( spl2_1115
  <=> n30 = sum(n13,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1115])]) ).

fof(f901,plain,
    n30 = sum(n13,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5948,plain,
    spl2_1114,
    inference(avatar_split_clause,[],[f898,f5946]) ).

fof(f5946,plain,
    ( spl2_1114
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1114])]) ).

fof(f898,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f5944,plain,
    spl2_1113,
    inference(avatar_split_clause,[],[f897,f5942]) ).

fof(f5942,plain,
    ( spl2_1113
  <=> n11 = sum(n28,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1113])]) ).

fof(f897,plain,
    n11 = sum(n28,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5940,plain,
    spl2_1112,
    inference(avatar_split_clause,[],[f896,f5938]) ).

fof(f5938,plain,
    ( spl2_1112
  <=> n3 = sum(n5,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1112])]) ).

fof(f896,plain,
    n3 = sum(n5,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f5936,plain,
    spl2_1111,
    inference(avatar_split_clause,[],[f895,f5934]) ).

fof(f5934,plain,
    ( spl2_1111
  <=> n22 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1111])]) ).

fof(f895,plain,
    n22 = sum(n8,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5932,plain,
    spl2_1110,
    inference(avatar_split_clause,[],[f894,f5930]) ).

fof(f5930,plain,
    ( spl2_1110
  <=> n6 = sum(n27,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1110])]) ).

fof(f894,plain,
    n6 = sum(n27,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5928,plain,
    spl2_1109,
    inference(avatar_split_clause,[],[f892,f5926]) ).

fof(f5926,plain,
    ( spl2_1109
  <=> n19 = sum(n20,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1109])]) ).

fof(f892,plain,
    n19 = sum(n20,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5924,plain,
    spl2_1108,
    inference(avatar_split_clause,[],[f891,f5922]) ).

fof(f5922,plain,
    ( spl2_1108
  <=> n29 = sum(n10,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1108])]) ).

fof(f891,plain,
    n29 = sum(n10,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f5920,plain,
    spl2_1107,
    inference(avatar_split_clause,[],[f890,f5918]) ).

fof(f5918,plain,
    ( spl2_1107
  <=> n18 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1107])]) ).

fof(f890,plain,
    n18 = sum(n11,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5916,plain,
    spl2_1106,
    inference(avatar_split_clause,[],[f889,f5914]) ).

fof(f5914,plain,
    ( spl2_1106
  <=> n19 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1106])]) ).

fof(f889,plain,
    n19 = sum(n4,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5912,plain,
    spl2_1105,
    inference(avatar_split_clause,[],[f885,f5910]) ).

fof(f5910,plain,
    ( spl2_1105
  <=> n1 = sum(n20,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1105])]) ).

fof(f885,plain,
    n1 = sum(n20,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5908,plain,
    spl2_1104,
    inference(avatar_split_clause,[],[f884,f5906]) ).

fof(f5906,plain,
    ( spl2_1104
  <=> n9 = sum(n12,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1104])]) ).

fof(f884,plain,
    n9 = sum(n12,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5904,plain,
    spl2_1103,
    inference(avatar_split_clause,[],[f883,f5902]) ).

fof(f5902,plain,
    ( spl2_1103
  <=> n14 = sum(n26,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1103])]) ).

fof(f883,plain,
    n14 = sum(n26,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f5900,plain,
    spl2_1102,
    inference(avatar_split_clause,[],[f880,f5898]) ).

fof(f5898,plain,
    ( spl2_1102
  <=> n22 = sum(n0,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1102])]) ).

fof(f880,plain,
    n22 = sum(n0,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5896,plain,
    spl2_1101,
    inference(avatar_split_clause,[],[f879,f5894]) ).

fof(f5894,plain,
    ( spl2_1101
  <=> n4 = sum(n21,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1101])]) ).

fof(f879,plain,
    n4 = sum(n21,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5892,plain,
    spl2_1100,
    inference(avatar_split_clause,[],[f878,f5890]) ).

fof(f5890,plain,
    ( spl2_1100
  <=> n8 = sum(n13,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1100])]) ).

fof(f878,plain,
    n8 = sum(n13,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5888,plain,
    spl2_1099,
    inference(avatar_split_clause,[],[f877,f5886]) ).

fof(f5886,plain,
    ( spl2_1099
  <=> n22 = sum(n23,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1099])]) ).

fof(f877,plain,
    n22 = sum(n23,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5884,plain,
    spl2_1098,
    inference(avatar_split_clause,[],[f871,f5882]) ).

fof(f5882,plain,
    ( spl2_1098
  <=> n24 = sum(n3,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1098])]) ).

fof(f871,plain,
    n24 = sum(n3,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5880,plain,
    spl2_1097,
    inference(avatar_split_clause,[],[f870,f5878]) ).

fof(f5878,plain,
    ( spl2_1097
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1097])]) ).

fof(f870,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f5876,plain,
    spl2_1096,
    inference(avatar_split_clause,[],[f869,f5874]) ).

fof(f5874,plain,
    ( spl2_1096
  <=> n20 = sum(n25,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1096])]) ).

fof(f869,plain,
    n20 = sum(n25,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5872,plain,
    spl2_1095,
    inference(avatar_split_clause,[],[f866,f5870]) ).

fof(f5870,plain,
    ( spl2_1095
  <=> n19 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1095])]) ).

fof(f866,plain,
    n19 = sum(n7,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5868,plain,
    spl2_1094,
    inference(avatar_split_clause,[],[f864,f5866]) ).

fof(f5866,plain,
    ( spl2_1094
  <=> n19 = sum(n29,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1094])]) ).

fof(f864,plain,
    n19 = sum(n29,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5864,plain,
    spl2_1093,
    inference(avatar_split_clause,[],[f863,f5862]) ).

fof(f5862,plain,
    ( spl2_1093
  <=> n20 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1093])]) ).

fof(f863,plain,
    n20 = sum(n10,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5860,plain,
    spl2_1092,
    inference(avatar_split_clause,[],[f862,f5858]) ).

fof(f5858,plain,
    ( spl2_1092
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1092])]) ).

fof(f862,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5856,plain,
    spl2_1091,
    inference(avatar_split_clause,[],[f861,f5854]) ).

fof(f5854,plain,
    ( spl2_1091
  <=> n13 = sum(n26,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1091])]) ).

fof(f861,plain,
    n13 = sum(n26,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f5852,plain,
    spl2_1090,
    inference(avatar_split_clause,[],[f860,f5850]) ).

fof(f5850,plain,
    ( spl2_1090
  <=> n8 = sum(n19,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1090])]) ).

fof(f860,plain,
    n8 = sum(n19,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5848,plain,
    spl2_1089,
    inference(avatar_split_clause,[],[f859,f5846]) ).

fof(f5846,plain,
    ( spl2_1089
  <=> n6 = sum(n12,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1089])]) ).

fof(f859,plain,
    n6 = sum(n12,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5844,plain,
    spl2_1088,
    inference(avatar_split_clause,[],[f857,f5842]) ).

fof(f5842,plain,
    ( spl2_1088
  <=> n2 = sum(n12,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1088])]) ).

fof(f857,plain,
    n2 = sum(n12,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5840,plain,
    spl2_1087,
    inference(avatar_split_clause,[],[f853,f5838]) ).

fof(f5838,plain,
    ( spl2_1087
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1087])]) ).

fof(f853,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5836,plain,
    spl2_1086,
    inference(avatar_split_clause,[],[f851,f5834]) ).

fof(f5834,plain,
    ( spl2_1086
  <=> n25 = sum(n30,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1086])]) ).

fof(f851,plain,
    n25 = sum(n30,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5832,plain,
    spl2_1085,
    inference(avatar_split_clause,[],[f850,f5830]) ).

fof(f5830,plain,
    ( spl2_1085
  <=> n2 = sum(n23,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1085])]) ).

fof(f850,plain,
    n2 = sum(n23,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5828,plain,
    spl2_1084,
    inference(avatar_split_clause,[],[f849,f5826]) ).

fof(f5826,plain,
    ( spl2_1084
  <=> n28 = sum(n6,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1084])]) ).

fof(f849,plain,
    n28 = sum(n6,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5824,plain,
    spl2_1083,
    inference(avatar_split_clause,[],[f847,f5822]) ).

fof(f5822,plain,
    ( spl2_1083
  <=> n24 = sum(n28,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1083])]) ).

fof(f847,plain,
    n24 = sum(n28,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5820,plain,
    spl2_1082,
    inference(avatar_split_clause,[],[f846,f5818]) ).

fof(f5818,plain,
    ( spl2_1082
  <=> n9 = sum(n14,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1082])]) ).

fof(f846,plain,
    n9 = sum(n14,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5816,plain,
    spl2_1081,
    inference(avatar_split_clause,[],[f845,f5814]) ).

fof(f5814,plain,
    ( spl2_1081
  <=> n3 = sum(n17,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1081])]) ).

fof(f845,plain,
    n3 = sum(n17,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5812,plain,
    spl2_1080,
    inference(avatar_split_clause,[],[f844,f5810]) ).

fof(f5810,plain,
    ( spl2_1080
  <=> n0 = sum(n25,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1080])]) ).

fof(f844,plain,
    n0 = sum(n25,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f5808,plain,
    spl2_1079,
    inference(avatar_split_clause,[],[f842,f5806]) ).

fof(f5806,plain,
    ( spl2_1079
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1079])]) ).

fof(f842,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5804,plain,
    spl2_1078,
    inference(avatar_split_clause,[],[f840,f5802]) ).

fof(f5802,plain,
    ( spl2_1078
  <=> n27 = sum(n26,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1078])]) ).

fof(f840,plain,
    n27 = sum(n26,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5800,plain,
    spl2_1077,
    inference(avatar_split_clause,[],[f839,f5798]) ).

fof(f5798,plain,
    ( spl2_1077
  <=> n12 = sum(n17,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1077])]) ).

fof(f839,plain,
    n12 = sum(n17,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5796,plain,
    spl2_1076,
    inference(avatar_split_clause,[],[f837,f5794]) ).

fof(f5794,plain,
    ( spl2_1076
  <=> n7 = sum(n16,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1076])]) ).

fof(f837,plain,
    n7 = sum(n16,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5792,plain,
    spl2_1075,
    inference(avatar_split_clause,[],[f836,f5790]) ).

fof(f5790,plain,
    ( spl2_1075
  <=> n24 = sum(n4,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1075])]) ).

fof(f836,plain,
    n24 = sum(n4,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5788,plain,
    spl2_1074,
    inference(avatar_split_clause,[],[f835,f5786]) ).

fof(f5786,plain,
    ( spl2_1074
  <=> n22 = sum(n29,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1074])]) ).

fof(f835,plain,
    n22 = sum(n29,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5784,plain,
    spl2_1073,
    inference(avatar_split_clause,[],[f834,f5782]) ).

fof(f5782,plain,
    ( spl2_1073
  <=> n7 = sum(n22,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1073])]) ).

fof(f834,plain,
    n7 = sum(n22,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5780,plain,
    spl2_1072,
    inference(avatar_split_clause,[],[f833,f5778]) ).

fof(f5778,plain,
    ( spl2_1072
  <=> n17 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1072])]) ).

fof(f833,plain,
    n17 = sum(n5,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5776,plain,
    spl2_1071,
    inference(avatar_split_clause,[],[f832,f5774]) ).

fof(f5774,plain,
    ( spl2_1071
  <=> n20 = sum(n0,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1071])]) ).

fof(f832,plain,
    n20 = sum(n0,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5772,plain,
    spl2_1070,
    inference(avatar_split_clause,[],[f831,f5770]) ).

fof(f5770,plain,
    ( spl2_1070
  <=> n11 = sum(n21,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1070])]) ).

fof(f831,plain,
    n11 = sum(n21,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5768,plain,
    spl2_1069,
    inference(avatar_split_clause,[],[f828,f5766]) ).

fof(f5766,plain,
    ( spl2_1069
  <=> n12 = sum(n27,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1069])]) ).

fof(f828,plain,
    n12 = sum(n27,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5764,plain,
    spl2_1068,
    inference(avatar_split_clause,[],[f827,f5762]) ).

fof(f5762,plain,
    ( spl2_1068
  <=> n18 = sum(n17,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1068])]) ).

fof(f827,plain,
    n18 = sum(n17,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5760,plain,
    spl2_1067,
    inference(avatar_split_clause,[],[f825,f5758]) ).

fof(f5758,plain,
    ( spl2_1067
  <=> n22 = sum(n24,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1067])]) ).

fof(f825,plain,
    n22 = sum(n24,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f5756,plain,
    spl2_1066,
    inference(avatar_split_clause,[],[f824,f5754]) ).

fof(f5754,plain,
    ( spl2_1066
  <=> n16 = sum(n16,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1066])]) ).

fof(f824,plain,
    n16 = sum(n16,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5752,plain,
    spl2_1065,
    inference(avatar_split_clause,[],[f823,f5750]) ).

fof(f5750,plain,
    ( spl2_1065
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1065])]) ).

fof(f823,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5748,plain,
    spl2_1064,
    inference(avatar_split_clause,[],[f821,f5746]) ).

fof(f5746,plain,
    ( spl2_1064
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1064])]) ).

fof(f821,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5744,plain,
    spl2_1063,
    inference(avatar_split_clause,[],[f820,f5742]) ).

fof(f5742,plain,
    ( spl2_1063
  <=> n30 = sum(n1,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1063])]) ).

fof(f820,plain,
    n30 = sum(n1,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f5740,plain,
    spl2_1062,
    inference(avatar_split_clause,[],[f818,f5738]) ).

fof(f5738,plain,
    ( spl2_1062
  <=> n22 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1062])]) ).

fof(f818,plain,
    n22 = sum(n11,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5736,plain,
    spl2_1061,
    inference(avatar_split_clause,[],[f815,f5734]) ).

fof(f5734,plain,
    ( spl2_1061
  <=> n25 = sum(n8,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1061])]) ).

fof(f815,plain,
    n25 = sum(n8,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5732,plain,
    spl2_1060,
    inference(avatar_split_clause,[],[f814,f5730]) ).

fof(f5730,plain,
    ( spl2_1060
  <=> n0 = sum(n2,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1060])]) ).

fof(f814,plain,
    n0 = sum(n2,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f5728,plain,
    spl2_1059,
    inference(avatar_split_clause,[],[f811,f5726]) ).

fof(f5726,plain,
    ( spl2_1059
  <=> n26 = sum(n24,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1059])]) ).

fof(f811,plain,
    n26 = sum(n24,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f5724,plain,
    spl2_1058,
    inference(avatar_split_clause,[],[f810,f5722]) ).

fof(f5722,plain,
    ( spl2_1058
  <=> n16 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1058])]) ).

fof(f810,plain,
    n16 = sum(n9,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5720,plain,
    spl2_1057,
    inference(avatar_split_clause,[],[f809,f5718]) ).

fof(f5718,plain,
    ( spl2_1057
  <=> n14 = sum(n15,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1057])]) ).

fof(f809,plain,
    n14 = sum(n15,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5716,plain,
    spl2_1056,
    inference(avatar_split_clause,[],[f808,f5714]) ).

fof(f5714,plain,
    ( spl2_1056
  <=> n22 = sum(n18,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1056])]) ).

fof(f808,plain,
    n22 = sum(n18,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f5712,plain,
    spl2_1055,
    inference(avatar_split_clause,[],[f804,f5710]) ).

fof(f5710,plain,
    ( spl2_1055
  <=> n11 = sum(n12,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1055])]) ).

fof(f804,plain,
    n11 = sum(n12,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5708,plain,
    spl2_1054,
    inference(avatar_split_clause,[],[f803,f5706]) ).

fof(f5706,plain,
    ( spl2_1054
  <=> n7 = sum(n27,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1054])]) ).

fof(f803,plain,
    n7 = sum(n27,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5704,plain,
    spl2_1053,
    inference(avatar_split_clause,[],[f801,f5702]) ).

fof(f5702,plain,
    ( spl2_1053
  <=> n5 = sum(n12,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1053])]) ).

fof(f801,plain,
    n5 = sum(n12,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5700,plain,
    spl2_1052,
    inference(avatar_split_clause,[],[f800,f5698]) ).

fof(f5698,plain,
    ( spl2_1052
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1052])]) ).

fof(f800,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5696,plain,
    spl2_1051,
    inference(avatar_split_clause,[],[f797,f5694]) ).

fof(f5694,plain,
    ( spl2_1051
  <=> n27 = sum(n30,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1051])]) ).

fof(f797,plain,
    n27 = sum(n30,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5692,plain,
    spl2_1050,
    inference(avatar_split_clause,[],[f795,f5690]) ).

fof(f5690,plain,
    ( spl2_1050
  <=> n24 = sum(n2,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1050])]) ).

fof(f795,plain,
    n24 = sum(n2,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5688,plain,
    spl2_1049,
    inference(avatar_split_clause,[],[f794,f5686]) ).

fof(f5686,plain,
    ( spl2_1049
  <=> n22 = sum(n19,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1049])]) ).

fof(f794,plain,
    n22 = sum(n19,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5684,plain,
    spl2_1048,
    inference(avatar_split_clause,[],[f792,f5682]) ).

fof(f5682,plain,
    ( spl2_1048
  <=> n1 = sum(n2,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1048])]) ).

fof(f792,plain,
    n1 = sum(n2,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5680,plain,
    spl2_1047,
    inference(avatar_split_clause,[],[f791,f5678]) ).

fof(f5678,plain,
    ( spl2_1047
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1047])]) ).

fof(f791,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5676,plain,
    spl2_1046,
    inference(avatar_split_clause,[],[f789,f5674]) ).

fof(f5674,plain,
    ( spl2_1046
  <=> n18 = sum(n30,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1046])]) ).

fof(f789,plain,
    n18 = sum(n30,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f5672,plain,
    spl2_1045,
    inference(avatar_split_clause,[],[f788,f5670]) ).

fof(f5670,plain,
    ( spl2_1045
  <=> n8 = sum(n14,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1045])]) ).

fof(f788,plain,
    n8 = sum(n14,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5668,plain,
    spl2_1044,
    inference(avatar_split_clause,[],[f787,f5666]) ).

fof(f5666,plain,
    ( spl2_1044
  <=> n30 = sum(n20,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1044])]) ).

fof(f787,plain,
    n30 = sum(n20,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5664,plain,
    spl2_1043,
    inference(avatar_split_clause,[],[f786,f5662]) ).

fof(f5662,plain,
    ( spl2_1043
  <=> n7 = sum(n11,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1043])]) ).

fof(f786,plain,
    n7 = sum(n11,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5660,plain,
    spl2_1042,
    inference(avatar_split_clause,[],[f785,f5658]) ).

fof(f5658,plain,
    ( spl2_1042
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1042])]) ).

fof(f785,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f5656,plain,
    spl2_1041,
    inference(avatar_split_clause,[],[f784,f5654]) ).

fof(f5654,plain,
    ( spl2_1041
  <=> n7 = sum(n24,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1041])]) ).

fof(f784,plain,
    n7 = sum(n24,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5652,plain,
    spl2_1040,
    inference(avatar_split_clause,[],[f783,f5650]) ).

fof(f5650,plain,
    ( spl2_1040
  <=> n7 = sum(n29,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1040])]) ).

fof(f783,plain,
    n7 = sum(n29,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5648,plain,
    spl2_1039,
    inference(avatar_split_clause,[],[f782,f5646]) ).

fof(f5646,plain,
    ( spl2_1039
  <=> n27 = sum(n9,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1039])]) ).

fof(f782,plain,
    n27 = sum(n9,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f5644,plain,
    spl2_1038,
    inference(avatar_split_clause,[],[f781,f5642]) ).

fof(f5642,plain,
    ( spl2_1038
  <=> n3 = sum(n26,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1038])]) ).

fof(f781,plain,
    n3 = sum(n26,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5640,plain,
    spl2_1037,
    inference(avatar_split_clause,[],[f780,f5638]) ).

fof(f5638,plain,
    ( spl2_1037
  <=> n16 = sum(n23,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1037])]) ).

fof(f780,plain,
    n16 = sum(n23,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5636,plain,
    spl2_1036,
    inference(avatar_split_clause,[],[f779,f5634]) ).

fof(f5634,plain,
    ( spl2_1036
  <=> n5 = sum(n8,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1036])]) ).

fof(f779,plain,
    n5 = sum(n8,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5632,plain,
    spl2_1035,
    inference(avatar_split_clause,[],[f777,f5630]) ).

fof(f5630,plain,
    ( spl2_1035
  <=> n19 = sum(n3,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1035])]) ).

fof(f777,plain,
    n19 = sum(n3,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5628,plain,
    spl2_1034,
    inference(avatar_split_clause,[],[f776,f5626]) ).

fof(f5626,plain,
    ( spl2_1034
  <=> n4 = sum(n20,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1034])]) ).

fof(f776,plain,
    n4 = sum(n20,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5624,plain,
    spl2_1033,
    inference(avatar_split_clause,[],[f775,f5622]) ).

fof(f5622,plain,
    ( spl2_1033
  <=> n28 = sum(n7,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1033])]) ).

fof(f775,plain,
    n28 = sum(n7,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5620,plain,
    spl2_1032,
    inference(avatar_split_clause,[],[f774,f5618]) ).

fof(f5618,plain,
    ( spl2_1032
  <=> n23 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1032])]) ).

fof(f774,plain,
    n23 = sum(n15,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5616,plain,
    spl2_1031,
    inference(avatar_split_clause,[],[f771,f5614]) ).

fof(f5614,plain,
    ( spl2_1031
  <=> n10 = sum(n27,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1031])]) ).

fof(f771,plain,
    n10 = sum(n27,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5612,plain,
    spl2_1030,
    inference(avatar_split_clause,[],[f769,f5610]) ).

fof(f5610,plain,
    ( spl2_1030
  <=> n27 = sum(n16,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1030])]) ).

fof(f769,plain,
    n27 = sum(n16,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5608,plain,
    spl2_1029,
    inference(avatar_split_clause,[],[f768,f5606]) ).

fof(f5606,plain,
    ( spl2_1029
  <=> n29 = sum(n28,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1029])]) ).

fof(f768,plain,
    n29 = sum(n28,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5604,plain,
    spl2_1028,
    inference(avatar_split_clause,[],[f767,f5602]) ).

fof(f5602,plain,
    ( spl2_1028
  <=> n3 = sum(n21,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1028])]) ).

fof(f767,plain,
    n3 = sum(n21,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5600,plain,
    spl2_1027,
    inference(avatar_split_clause,[],[f766,f5598]) ).

fof(f5598,plain,
    ( spl2_1027
  <=> n19 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1027])]) ).

fof(f766,plain,
    n19 = sum(n12,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5596,plain,
    spl2_1026,
    inference(avatar_split_clause,[],[f764,f5594]) ).

fof(f5594,plain,
    ( spl2_1026
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1026])]) ).

fof(f764,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5592,plain,
    spl2_1025,
    inference(avatar_split_clause,[],[f763,f5590]) ).

fof(f5590,plain,
    ( spl2_1025
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1025])]) ).

fof(f763,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f5588,plain,
    spl2_1024,
    inference(avatar_split_clause,[],[f762,f5586]) ).

fof(f5586,plain,
    ( spl2_1024
  <=> n14 = sum(n25,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1024])]) ).

fof(f762,plain,
    n14 = sum(n25,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5584,plain,
    spl2_1023,
    inference(avatar_split_clause,[],[f761,f5582]) ).

fof(f5582,plain,
    ( spl2_1023
  <=> n2 = sum(n21,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1023])]) ).

fof(f761,plain,
    n2 = sum(n21,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5580,plain,
    spl2_1022,
    inference(avatar_split_clause,[],[f760,f5578]) ).

fof(f5578,plain,
    ( spl2_1022
  <=> n25 = sum(n9,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1022])]) ).

fof(f760,plain,
    n25 = sum(n9,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5576,plain,
    spl2_1021,
    inference(avatar_split_clause,[],[f758,f5574]) ).

fof(f5574,plain,
    ( spl2_1021
  <=> n27 = sum(n25,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1021])]) ).

fof(f758,plain,
    n27 = sum(n25,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f5572,plain,
    spl2_1020,
    inference(avatar_split_clause,[],[f755,f5570]) ).

fof(f5570,plain,
    ( spl2_1020
  <=> n19 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1020])]) ).

fof(f755,plain,
    n19 = sum(n9,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5568,plain,
    spl2_1019,
    inference(avatar_split_clause,[],[f753,f5566]) ).

fof(f5566,plain,
    ( spl2_1019
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1019])]) ).

fof(f753,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5564,plain,
    spl2_1018,
    inference(avatar_split_clause,[],[f752,f5562]) ).

fof(f5562,plain,
    ( spl2_1018
  <=> n3 = sum(n12,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1018])]) ).

fof(f752,plain,
    n3 = sum(n12,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5560,plain,
    spl2_1017,
    inference(avatar_split_clause,[],[f750,f5558]) ).

fof(f5558,plain,
    ( spl2_1017
  <=> n13 = sum(n30,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1017])]) ).

fof(f750,plain,
    n13 = sum(n30,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5556,plain,
    spl2_1016,
    inference(avatar_split_clause,[],[f748,f5554]) ).

fof(f5554,plain,
    ( spl2_1016
  <=> n16 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1016])]) ).

fof(f748,plain,
    n16 = sum(n15,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5552,plain,
    spl2_1015,
    inference(avatar_split_clause,[],[f747,f5550]) ).

fof(f5550,plain,
    ( spl2_1015
  <=> n26 = sum(n10,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1015])]) ).

fof(f747,plain,
    n26 = sum(n10,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5548,plain,
    spl2_1014,
    inference(avatar_split_clause,[],[f746,f5546]) ).

fof(f5546,plain,
    ( spl2_1014
  <=> n14 = sum(n29,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1014])]) ).

fof(f746,plain,
    n14 = sum(n29,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5544,plain,
    spl2_1013,
    inference(avatar_split_clause,[],[f745,f5542]) ).

fof(f5542,plain,
    ( spl2_1013
  <=> n8 = sum(n22,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1013])]) ).

fof(f745,plain,
    n8 = sum(n22,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5540,plain,
    spl2_1012,
    inference(avatar_split_clause,[],[f744,f5538]) ).

fof(f5538,plain,
    ( spl2_1012
  <=> n22 = sum(n16,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1012])]) ).

fof(f744,plain,
    n22 = sum(n16,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f5536,plain,
    spl2_1011,
    inference(avatar_split_clause,[],[f743,f5534]) ).

fof(f5534,plain,
    ( spl2_1011
  <=> n10 = sum(n26,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1011])]) ).

fof(f743,plain,
    n10 = sum(n26,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5532,plain,
    spl2_1010,
    inference(avatar_split_clause,[],[f740,f5530]) ).

fof(f5530,plain,
    ( spl2_1010
  <=> n8 = sum(n30,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1010])]) ).

fof(f740,plain,
    n8 = sum(n30,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5528,plain,
    spl2_1009,
    inference(avatar_split_clause,[],[f737,f5526]) ).

fof(f5526,plain,
    ( spl2_1009
  <=> n5 = sum(n29,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1009])]) ).

fof(f737,plain,
    n5 = sum(n29,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5524,plain,
    spl2_1008,
    inference(avatar_split_clause,[],[f735,f5522]) ).

fof(f5522,plain,
    ( spl2_1008
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1008])]) ).

fof(f735,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5520,plain,
    spl2_1007,
    inference(avatar_split_clause,[],[f734,f5518]) ).

fof(f5518,plain,
    ( spl2_1007
  <=> n0 = sum(n24,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1007])]) ).

fof(f734,plain,
    n0 = sum(n24,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5516,plain,
    spl2_1006,
    inference(avatar_split_clause,[],[f733,f5514]) ).

fof(f5514,plain,
    ( spl2_1006
  <=> n1 = sum(n14,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1006])]) ).

fof(f733,plain,
    n1 = sum(n14,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f5512,plain,
    spl2_1005,
    inference(avatar_split_clause,[],[f732,f5510]) ).

fof(f5510,plain,
    ( spl2_1005
  <=> n9 = sum(n18,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1005])]) ).

fof(f732,plain,
    n9 = sum(n18,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5508,plain,
    spl2_1004,
    inference(avatar_split_clause,[],[f731,f5506]) ).

fof(f5506,plain,
    ( spl2_1004
  <=> n30 = sum(n29,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1004])]) ).

fof(f731,plain,
    n30 = sum(n29,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5504,plain,
    spl2_1003,
    inference(avatar_split_clause,[],[f729,f5502]) ).

fof(f5502,plain,
    ( spl2_1003
  <=> n0 = sum(n28,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1003])]) ).

fof(f729,plain,
    n0 = sum(n28,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5500,plain,
    spl2_1002,
    inference(avatar_split_clause,[],[f727,f5498]) ).

fof(f5498,plain,
    ( spl2_1002
  <=> n25 = sum(n0,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1002])]) ).

fof(f727,plain,
    n25 = sum(n0,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5496,plain,
    spl2_1001,
    inference(avatar_split_clause,[],[f725,f5494]) ).

fof(f5494,plain,
    ( spl2_1001
  <=> n25 = sum(n19,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1001])]) ).

fof(f725,plain,
    n25 = sum(n19,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f5492,plain,
    spl2_1000,
    inference(avatar_split_clause,[],[f724,f5490]) ).

fof(f5490,plain,
    ( spl2_1000
  <=> n17 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1000])]) ).

fof(f724,plain,
    n17 = sum(n13,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f5488,plain,
    spl2_999,
    inference(avatar_split_clause,[],[f722,f5486]) ).

fof(f5486,plain,
    ( spl2_999
  <=> n18 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_999])]) ).

fof(f722,plain,
    n18 = sum(n15,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5484,plain,
    spl2_998,
    inference(avatar_split_clause,[],[f721,f5482]) ).

fof(f5482,plain,
    ( spl2_998
  <=> n29 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_998])]) ).

fof(f721,plain,
    n29 = sum(n15,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5480,plain,
    spl2_997,
    inference(avatar_split_clause,[],[f720,f5478]) ).

fof(f5478,plain,
    ( spl2_997
  <=> n27 = sum(n23,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_997])]) ).

fof(f720,plain,
    n27 = sum(n23,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f5476,plain,
    spl2_996,
    inference(avatar_split_clause,[],[f719,f5474]) ).

fof(f5474,plain,
    ( spl2_996
  <=> n6 = sum(n21,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_996])]) ).

fof(f719,plain,
    n6 = sum(n21,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5472,plain,
    spl2_995,
    inference(avatar_split_clause,[],[f718,f5470]) ).

fof(f5470,plain,
    ( spl2_995
  <=> n0 = sum(n8,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_995])]) ).

fof(f718,plain,
    n0 = sum(n8,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5468,plain,
    spl2_994,
    inference(avatar_split_clause,[],[f717,f5466]) ).

fof(f5466,plain,
    ( spl2_994
  <=> n16 = sum(n0,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_994])]) ).

fof(f717,plain,
    n16 = sum(n0,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5464,plain,
    spl2_993,
    inference(avatar_split_clause,[],[f716,f5462]) ).

fof(f5462,plain,
    ( spl2_993
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_993])]) ).

fof(f716,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5460,plain,
    spl2_992,
    inference(avatar_split_clause,[],[f714,f5458]) ).

fof(f5458,plain,
    ( spl2_992
  <=> n28 = sum(n0,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_992])]) ).

fof(f714,plain,
    n28 = sum(n0,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5456,plain,
    spl2_991,
    inference(avatar_split_clause,[],[f713,f5454]) ).

fof(f5454,plain,
    ( spl2_991
  <=> n12 = sum(n21,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_991])]) ).

fof(f713,plain,
    n12 = sum(n21,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5452,plain,
    spl2_990,
    inference(avatar_split_clause,[],[f712,f5450]) ).

fof(f5450,plain,
    ( spl2_990
  <=> n10 = sum(n13,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_990])]) ).

fof(f712,plain,
    n10 = sum(n13,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5448,plain,
    spl2_989,
    inference(avatar_split_clause,[],[f708,f5446]) ).

fof(f5446,plain,
    ( spl2_989
  <=> n6 = sum(n13,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_989])]) ).

fof(f708,plain,
    n6 = sum(n13,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5444,plain,
    spl2_988,
    inference(avatar_split_clause,[],[f707,f5442]) ).

fof(f5442,plain,
    ( spl2_988
  <=> n2 = sum(n20,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_988])]) ).

fof(f707,plain,
    n2 = sum(n20,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5440,plain,
    spl2_987,
    inference(avatar_split_clause,[],[f706,f5438]) ).

fof(f5438,plain,
    ( spl2_987
  <=> n28 = sum(n17,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_987])]) ).

fof(f706,plain,
    n28 = sum(n17,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5436,plain,
    spl2_986,
    inference(avatar_split_clause,[],[f705,f5434]) ).

fof(f5434,plain,
    ( spl2_986
  <=> n19 = sum(n27,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_986])]) ).

fof(f705,plain,
    n19 = sum(n27,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5432,plain,
    spl2_985,
    inference(avatar_split_clause,[],[f704,f5430]) ).

fof(f5430,plain,
    ( spl2_985
  <=> n4 = sum(n28,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_985])]) ).

fof(f704,plain,
    n4 = sum(n28,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5428,plain,
    spl2_984,
    inference(avatar_split_clause,[],[f702,f5426]) ).

fof(f5426,plain,
    ( spl2_984
  <=> n11 = sum(n20,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_984])]) ).

fof(f702,plain,
    n11 = sum(n20,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5424,plain,
    spl2_983,
    inference(avatar_split_clause,[],[f700,f5422]) ).

fof(f5422,plain,
    ( spl2_983
  <=> n14 = sum(n21,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_983])]) ).

fof(f700,plain,
    n14 = sum(n21,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5420,plain,
    spl2_982,
    inference(avatar_split_clause,[],[f699,f5418]) ).

fof(f5418,plain,
    ( spl2_982
  <=> n19 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_982])]) ).

fof(f699,plain,
    n19 = sum(n6,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5416,plain,
    spl2_981,
    inference(avatar_split_clause,[],[f698,f5414]) ).

fof(f5414,plain,
    ( spl2_981
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_981])]) ).

fof(f698,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5412,plain,
    spl2_980,
    inference(avatar_split_clause,[],[f692,f5410]) ).

fof(f5410,plain,
    ( spl2_980
  <=> n14 = sum(n24,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_980])]) ).

fof(f692,plain,
    n14 = sum(n24,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5408,plain,
    spl2_979,
    inference(avatar_split_clause,[],[f691,f5406]) ).

fof(f5406,plain,
    ( spl2_979
  <=> n17 = sum(n22,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_979])]) ).

fof(f691,plain,
    n17 = sum(n22,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5404,plain,
    spl2_978,
    inference(avatar_split_clause,[],[f690,f5402]) ).

fof(f5402,plain,
    ( spl2_978
  <=> n18 = sum(n29,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_978])]) ).

fof(f690,plain,
    n18 = sum(n29,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5400,plain,
    spl2_977,
    inference(avatar_split_clause,[],[f689,f5398]) ).

fof(f5398,plain,
    ( spl2_977
  <=> n2 = sum(n13,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_977])]) ).

fof(f689,plain,
    n2 = sum(n13,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5396,plain,
    spl2_976,
    inference(avatar_split_clause,[],[f688,f5394]) ).

fof(f5394,plain,
    ( spl2_976
  <=> n3 = sum(n20,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_976])]) ).

fof(f688,plain,
    n3 = sum(n20,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5392,plain,
    spl2_975,
    inference(avatar_split_clause,[],[f687,f5390]) ).

fof(f5390,plain,
    ( spl2_975
  <=> n0 = sum(n16,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_975])]) ).

fof(f687,plain,
    n0 = sum(n16,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5388,plain,
    spl2_974,
    inference(avatar_split_clause,[],[f685,f5386]) ).

fof(f5386,plain,
    ( spl2_974
  <=> n29 = sum(n6,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_974])]) ).

fof(f685,plain,
    n29 = sum(n6,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5384,plain,
    spl2_973,
    inference(avatar_split_clause,[],[f684,f5382]) ).

fof(f5382,plain,
    ( spl2_973
  <=> n4 = sum(n9,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_973])]) ).

fof(f684,plain,
    n4 = sum(n9,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5380,plain,
    spl2_972,
    inference(avatar_split_clause,[],[f683,f5378]) ).

fof(f5378,plain,
    ( spl2_972
  <=> n25 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_972])]) ).

fof(f683,plain,
    n25 = sum(n15,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5376,plain,
    spl2_971,
    inference(avatar_split_clause,[],[f682,f5374]) ).

fof(f5374,plain,
    ( spl2_971
  <=> n1 = sum(n12,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_971])]) ).

fof(f682,plain,
    n1 = sum(n12,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5372,plain,
    spl2_970,
    inference(avatar_split_clause,[],[f681,f5370]) ).

fof(f5370,plain,
    ( spl2_970
  <=> n21 = sum(n16,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_970])]) ).

fof(f681,plain,
    n21 = sum(n16,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5368,plain,
    spl2_969,
    inference(avatar_split_clause,[],[f680,f5366]) ).

fof(f5366,plain,
    ( spl2_969
  <=> n26 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_969])]) ).

fof(f680,plain,
    n26 = sum(n13,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5364,plain,
    spl2_968,
    inference(avatar_split_clause,[],[f679,f5362]) ).

fof(f5362,plain,
    ( spl2_968
  <=> n1 = sum(n9,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_968])]) ).

fof(f679,plain,
    n1 = sum(n9,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5360,plain,
    spl2_967,
    inference(avatar_split_clause,[],[f678,f5358]) ).

fof(f5358,plain,
    ( spl2_967
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_967])]) ).

fof(f678,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5356,plain,
    spl2_966,
    inference(avatar_split_clause,[],[f677,f5354]) ).

fof(f5354,plain,
    ( spl2_966
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_966])]) ).

fof(f677,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5352,plain,
    spl2_965,
    inference(avatar_split_clause,[],[f676,f5350]) ).

fof(f5350,plain,
    ( spl2_965
  <=> n22 = sum(n22,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_965])]) ).

fof(f676,plain,
    n22 = sum(n22,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5348,plain,
    spl2_964,
    inference(avatar_split_clause,[],[f675,f5346]) ).

fof(f5346,plain,
    ( spl2_964
  <=> n1 = sum(n23,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_964])]) ).

fof(f675,plain,
    n1 = sum(n23,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5344,plain,
    spl2_963,
    inference(avatar_split_clause,[],[f673,f5342]) ).

fof(f5342,plain,
    ( spl2_963
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_963])]) ).

fof(f673,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f5340,plain,
    spl2_962,
    inference(avatar_split_clause,[],[f672,f5338]) ).

fof(f5338,plain,
    ( spl2_962
  <=> n8 = sum(n24,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_962])]) ).

fof(f672,plain,
    n8 = sum(n24,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5336,plain,
    spl2_961,
    inference(avatar_split_clause,[],[f671,f5334]) ).

fof(f5334,plain,
    ( spl2_961
  <=> n25 = sum(n2,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_961])]) ).

fof(f671,plain,
    n25 = sum(n2,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5332,plain,
    spl2_960,
    inference(avatar_split_clause,[],[f669,f5330]) ).

fof(f5330,plain,
    ( spl2_960
  <=> n28 = sum(n3,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_960])]) ).

fof(f669,plain,
    n28 = sum(n3,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5328,plain,
    spl2_959,
    inference(avatar_split_clause,[],[f665,f5326]) ).

fof(f5326,plain,
    ( spl2_959
  <=> n11 = sum(n18,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_959])]) ).

fof(f665,plain,
    n11 = sum(n18,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5324,plain,
    spl2_958,
    inference(avatar_split_clause,[],[f662,f5322]) ).

fof(f5322,plain,
    ( spl2_958
  <=> n21 = sum(n21,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_958])]) ).

fof(f662,plain,
    n21 = sum(n21,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f5320,plain,
    spl2_957,
    inference(avatar_split_clause,[],[f660,f5318]) ).

fof(f5318,plain,
    ( spl2_957
  <=> n7 = sum(n12,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_957])]) ).

fof(f660,plain,
    n7 = sum(n12,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5316,plain,
    spl2_956,
    inference(avatar_split_clause,[],[f659,f5314]) ).

fof(f5314,plain,
    ( spl2_956
  <=> n23 = sum(n18,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_956])]) ).

fof(f659,plain,
    n23 = sum(n18,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5312,plain,
    spl2_955,
    inference(avatar_split_clause,[],[f658,f5310]) ).

fof(f5310,plain,
    ( spl2_955
  <=> n6 = sum(n8,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_955])]) ).

fof(f658,plain,
    n6 = sum(n8,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f5308,plain,
    spl2_954,
    inference(avatar_split_clause,[],[f655,f5306]) ).

fof(f5306,plain,
    ( spl2_954
  <=> n26 = sum(n16,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_954])]) ).

fof(f655,plain,
    n26 = sum(n16,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f5304,plain,
    spl2_953,
    inference(avatar_split_clause,[],[f653,f5302]) ).

fof(f5302,plain,
    ( spl2_953
  <=> n25 = sum(n20,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_953])]) ).

fof(f653,plain,
    n25 = sum(n20,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f5300,plain,
    spl2_952,
    inference(avatar_split_clause,[],[f649,f5298]) ).

fof(f5298,plain,
    ( spl2_952
  <=> n2 = sum(n11,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_952])]) ).

fof(f649,plain,
    n2 = sum(n11,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f5296,plain,
    spl2_951,
    inference(avatar_split_clause,[],[f648,f5294]) ).

fof(f5294,plain,
    ( spl2_951
  <=> n21 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_951])]) ).

fof(f648,plain,
    n21 = sum(n12,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5292,plain,
    spl2_950,
    inference(avatar_split_clause,[],[f647,f5290]) ).

fof(f5290,plain,
    ( spl2_950
  <=> n25 = sum(n24,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_950])]) ).

fof(f647,plain,
    n25 = sum(n24,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5288,plain,
    spl2_949,
    inference(avatar_split_clause,[],[f645,f5286]) ).

fof(f5286,plain,
    ( spl2_949
  <=> n6 = sum(n28,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_949])]) ).

fof(f645,plain,
    n6 = sum(n28,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5284,plain,
    spl2_948,
    inference(avatar_split_clause,[],[f644,f5282]) ).

fof(f5282,plain,
    ( spl2_948
  <=> n28 = sum(n21,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_948])]) ).

fof(f644,plain,
    n28 = sum(n21,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5280,plain,
    spl2_947,
    inference(avatar_split_clause,[],[f642,f5278]) ).

fof(f5278,plain,
    ( spl2_947
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_947])]) ).

fof(f642,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5276,plain,
    spl2_946,
    inference(avatar_split_clause,[],[f641,f5274]) ).

fof(f5274,plain,
    ( spl2_946
  <=> n6 = sum(n9,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_946])]) ).

fof(f641,plain,
    n6 = sum(n9,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5272,plain,
    spl2_945,
    inference(avatar_split_clause,[],[f640,f5270]) ).

fof(f5270,plain,
    ( spl2_945
  <=> n13 = sum(n17,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_945])]) ).

fof(f640,plain,
    n13 = sum(n17,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5268,plain,
    spl2_944,
    inference(avatar_split_clause,[],[f639,f5266]) ).

fof(f5266,plain,
    ( spl2_944
  <=> n7 = sum(n26,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_944])]) ).

fof(f639,plain,
    n7 = sum(n26,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5264,plain,
    spl2_943,
    inference(avatar_split_clause,[],[f638,f5262]) ).

fof(f5262,plain,
    ( spl2_943
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_943])]) ).

fof(f638,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5260,plain,
    spl2_942,
    inference(avatar_split_clause,[],[f635,f5258]) ).

fof(f5258,plain,
    ( spl2_942
  <=> n5 = sum(n20,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_942])]) ).

fof(f635,plain,
    n5 = sum(n20,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5256,plain,
    spl2_941,
    inference(avatar_split_clause,[],[f634,f5254]) ).

fof(f5254,plain,
    ( spl2_941
  <=> n3 = sum(n4,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_941])]) ).

fof(f634,plain,
    n3 = sum(n4,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5252,plain,
    spl2_940,
    inference(avatar_split_clause,[],[f633,f5250]) ).

fof(f5250,plain,
    ( spl2_940
  <=> n17 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_940])]) ).

fof(f633,plain,
    n17 = sum(n15,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f5248,plain,
    spl2_939,
    inference(avatar_split_clause,[],[f632,f5246]) ).

fof(f5246,plain,
    ( spl2_939
  <=> n22 = sum(n2,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_939])]) ).

fof(f632,plain,
    n22 = sum(n2,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5244,plain,
    spl2_938,
    inference(avatar_split_clause,[],[f629,f5242]) ).

fof(f5242,plain,
    ( spl2_938
  <=> n18 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_938])]) ).

fof(f629,plain,
    n18 = sum(n10,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5240,plain,
    spl2_937,
    inference(avatar_split_clause,[],[f628,f5238]) ).

fof(f5238,plain,
    ( spl2_937
  <=> n30 = sum(n18,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_937])]) ).

fof(f628,plain,
    n30 = sum(n18,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5236,plain,
    spl2_936,
    inference(avatar_split_clause,[],[f627,f5234]) ).

fof(f5234,plain,
    ( spl2_936
  <=> n5 = sum(n9,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_936])]) ).

fof(f627,plain,
    n5 = sum(n9,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5232,plain,
    spl2_935,
    inference(avatar_split_clause,[],[f626,f5230]) ).

fof(f5230,plain,
    ( spl2_935
  <=> n6 = sum(n30,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_935])]) ).

fof(f626,plain,
    n6 = sum(n30,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5228,plain,
    spl2_934,
    inference(avatar_split_clause,[],[f624,f5226]) ).

fof(f5226,plain,
    ( spl2_934
  <=> n29 = sum(n22,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_934])]) ).

fof(f624,plain,
    n29 = sum(n22,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5224,plain,
    spl2_933,
    inference(avatar_split_clause,[],[f623,f5222]) ).

fof(f5222,plain,
    ( spl2_933
  <=> n22 = sum(n27,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_933])]) ).

fof(f623,plain,
    n22 = sum(n27,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5220,plain,
    spl2_932,
    inference(avatar_split_clause,[],[f622,f5218]) ).

fof(f5218,plain,
    ( spl2_932
  <=> n29 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_932])]) ).

fof(f622,plain,
    n29 = sum(n14,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5216,plain,
    spl2_931,
    inference(avatar_split_clause,[],[f620,f5214]) ).

fof(f5214,plain,
    ( spl2_931
  <=> n22 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_931])]) ).

fof(f620,plain,
    n22 = sum(n10,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5212,plain,
    spl2_930,
    inference(avatar_split_clause,[],[f619,f5210]) ).

fof(f5210,plain,
    ( spl2_930
  <=> n16 = sum(n28,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_930])]) ).

fof(f619,plain,
    n16 = sum(n28,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f5208,plain,
    spl2_929,
    inference(avatar_split_clause,[],[f618,f5206]) ).

fof(f5206,plain,
    ( spl2_929
  <=> n28 = sum(n11,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_929])]) ).

fof(f618,plain,
    n28 = sum(n11,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5204,plain,
    spl2_928,
    inference(avatar_split_clause,[],[f616,f5202]) ).

fof(f5202,plain,
    ( spl2_928
  <=> n20 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_928])]) ).

fof(f616,plain,
    n20 = sum(n8,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5200,plain,
    spl2_927,
    inference(avatar_split_clause,[],[f615,f5198]) ).

fof(f5198,plain,
    ( spl2_927
  <=> n8 = sum(n15,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_927])]) ).

fof(f615,plain,
    n8 = sum(n15,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5196,plain,
    spl2_926,
    inference(avatar_split_clause,[],[f612,f5194]) ).

fof(f5194,plain,
    ( spl2_926
  <=> n29 = sum(n12,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_926])]) ).

fof(f612,plain,
    n29 = sum(n12,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f5192,plain,
    spl2_925,
    inference(avatar_split_clause,[],[f611,f5190]) ).

fof(f5190,plain,
    ( spl2_925
  <=> n28 = sum(n29,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_925])]) ).

fof(f611,plain,
    n28 = sum(n29,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f5188,plain,
    spl2_924,
    inference(avatar_split_clause,[],[f609,f5186]) ).

fof(f5186,plain,
    ( spl2_924
  <=> n21 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_924])]) ).

fof(f609,plain,
    n21 = sum(n7,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5184,plain,
    spl2_923,
    inference(avatar_split_clause,[],[f608,f5182]) ).

fof(f5182,plain,
    ( spl2_923
  <=> n1 = sum(n18,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_923])]) ).

fof(f608,plain,
    n1 = sum(n18,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5180,plain,
    spl2_922,
    inference(avatar_split_clause,[],[f607,f5178]) ).

fof(f5178,plain,
    ( spl2_922
  <=> n17 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_922])]) ).

fof(f607,plain,
    n17 = sum(n2,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5176,plain,
    spl2_921,
    inference(avatar_split_clause,[],[f606,f5174]) ).

fof(f5174,plain,
    ( spl2_921
  <=> n0 = sum(n3,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_921])]) ).

fof(f606,plain,
    n0 = sum(n3,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5172,plain,
    spl2_920,
    inference(avatar_split_clause,[],[f604,f5170]) ).

fof(f5170,plain,
    ( spl2_920
  <=> n21 = sum(n26,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_920])]) ).

fof(f604,plain,
    n21 = sum(n26,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5168,plain,
    spl2_919,
    inference(avatar_split_clause,[],[f602,f5166]) ).

fof(f5166,plain,
    ( spl2_919
  <=> n10 = sum(n30,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_919])]) ).

fof(f602,plain,
    n10 = sum(n30,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5164,plain,
    spl2_918,
    inference(avatar_split_clause,[],[f601,f5162]) ).

fof(f5162,plain,
    ( spl2_918
  <=> n30 = sum(n11,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_918])]) ).

fof(f601,plain,
    n30 = sum(n11,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f5160,plain,
    spl2_917,
    inference(avatar_split_clause,[],[f600,f5158]) ).

fof(f5158,plain,
    ( spl2_917
  <=> n16 = sum(n19,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_917])]) ).

fof(f600,plain,
    n16 = sum(n19,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5156,plain,
    spl2_916,
    inference(avatar_split_clause,[],[f599,f5154]) ).

fof(f5154,plain,
    ( spl2_916
  <=> n9 = sum(n15,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_916])]) ).

fof(f599,plain,
    n9 = sum(n15,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5152,plain,
    spl2_915,
    inference(avatar_split_clause,[],[f593,f5150]) ).

fof(f5150,plain,
    ( spl2_915
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_915])]) ).

fof(f593,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5148,plain,
    spl2_914,
    inference(avatar_split_clause,[],[f592,f5146]) ).

fof(f5146,plain,
    ( spl2_914
  <=> n30 = sum(n23,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_914])]) ).

fof(f592,plain,
    n30 = sum(n23,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5144,plain,
    spl2_913,
    inference(avatar_split_clause,[],[f591,f5142]) ).

fof(f5142,plain,
    ( spl2_913
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_913])]) ).

fof(f591,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f5140,plain,
    spl2_912,
    inference(avatar_split_clause,[],[f590,f5138]) ).

fof(f5138,plain,
    ( spl2_912
  <=> n26 = sum(n30,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_912])]) ).

fof(f590,plain,
    n26 = sum(n30,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5136,plain,
    spl2_911,
    inference(avatar_split_clause,[],[f589,f5134]) ).

fof(f5134,plain,
    ( spl2_911
  <=> n2 = sum(n25,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_911])]) ).

fof(f589,plain,
    n2 = sum(n25,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5132,plain,
    spl2_910,
    inference(avatar_split_clause,[],[f588,f5130]) ).

fof(f5130,plain,
    ( spl2_910
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_910])]) ).

fof(f588,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5128,plain,
    spl2_909,
    inference(avatar_split_clause,[],[f587,f5126]) ).

fof(f5126,plain,
    ( spl2_909
  <=> n12 = sum(n18,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_909])]) ).

fof(f587,plain,
    n12 = sum(n18,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f5124,plain,
    spl2_908,
    inference(avatar_split_clause,[],[f584,f5122]) ).

fof(f5122,plain,
    ( spl2_908
  <=> n22 = sum(n6,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_908])]) ).

fof(f584,plain,
    n22 = sum(n6,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5120,plain,
    spl2_907,
    inference(avatar_split_clause,[],[f582,f5118]) ).

fof(f5118,plain,
    ( spl2_907
  <=> n15 = sum(n17,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_907])]) ).

fof(f582,plain,
    n15 = sum(n17,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f5116,plain,
    spl2_906,
    inference(avatar_split_clause,[],[f581,f5114]) ).

fof(f5114,plain,
    ( spl2_906
  <=> n1 = sum(n5,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_906])]) ).

fof(f581,plain,
    n1 = sum(n5,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f5112,plain,
    spl2_905,
    inference(avatar_split_clause,[],[f579,f5110]) ).

fof(f5110,plain,
    ( spl2_905
  <=> n2 = sum(n26,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_905])]) ).

fof(f579,plain,
    n2 = sum(n26,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5108,plain,
    spl2_904,
    inference(avatar_split_clause,[],[f578,f5106]) ).

fof(f5106,plain,
    ( spl2_904
  <=> n20 = sum(n16,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_904])]) ).

fof(f578,plain,
    n20 = sum(n16,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f5104,plain,
    spl2_903,
    inference(avatar_split_clause,[],[f577,f5102]) ).

fof(f5102,plain,
    ( spl2_903
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_903])]) ).

fof(f577,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f5100,plain,
    spl2_902,
    inference(avatar_split_clause,[],[f576,f5098]) ).

fof(f5098,plain,
    ( spl2_902
  <=> n21 = sum(n5,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_902])]) ).

fof(f576,plain,
    n21 = sum(n5,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f5096,plain,
    spl2_901,
    inference(avatar_split_clause,[],[f575,f5094]) ).

fof(f5094,plain,
    ( spl2_901
  <=> n26 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_901])]) ).

fof(f575,plain,
    n26 = sum(n14,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5092,plain,
    spl2_900,
    inference(avatar_split_clause,[],[f574,f5090]) ).

fof(f5090,plain,
    ( spl2_900
  <=> n9 = sum(n28,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_900])]) ).

fof(f574,plain,
    n9 = sum(n28,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5088,plain,
    spl2_899,
    inference(avatar_split_clause,[],[f572,f5086]) ).

fof(f5086,plain,
    ( spl2_899
  <=> n24 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_899])]) ).

fof(f572,plain,
    n24 = sum(n15,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5084,plain,
    spl2_898,
    inference(avatar_split_clause,[],[f570,f5082]) ).

fof(f5082,plain,
    ( spl2_898
  <=> n25 = sum(n18,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_898])]) ).

fof(f570,plain,
    n25 = sum(n18,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f5080,plain,
    spl2_897,
    inference(avatar_split_clause,[],[f569,f5078]) ).

fof(f5078,plain,
    ( spl2_897
  <=> n9 = sum(n20,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_897])]) ).

fof(f569,plain,
    n9 = sum(n20,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f5076,plain,
    spl2_896,
    inference(avatar_split_clause,[],[f567,f5074]) ).

fof(f5074,plain,
    ( spl2_896
  <=> n5 = sum(n13,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_896])]) ).

fof(f567,plain,
    n5 = sum(n13,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f5072,plain,
    spl2_895,
    inference(avatar_split_clause,[],[f565,f5070]) ).

fof(f5070,plain,
    ( spl2_895
  <=> n0 = sum(n17,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_895])]) ).

fof(f565,plain,
    n0 = sum(n17,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5068,plain,
    spl2_894,
    inference(avatar_split_clause,[],[f564,f5066]) ).

fof(f5066,plain,
    ( spl2_894
  <=> n29 = sum(n20,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_894])]) ).

fof(f564,plain,
    n29 = sum(n20,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f5064,plain,
    spl2_893,
    inference(avatar_split_clause,[],[f563,f5062]) ).

fof(f5062,plain,
    ( spl2_893
  <=> n1 = sum(n8,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_893])]) ).

fof(f563,plain,
    n1 = sum(n8,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f5060,plain,
    spl2_892,
    inference(avatar_split_clause,[],[f562,f5058]) ).

fof(f5058,plain,
    ( spl2_892
  <=> n21 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_892])]) ).

fof(f562,plain,
    n21 = sum(n13,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5056,plain,
    spl2_891,
    inference(avatar_split_clause,[],[f561,f5054]) ).

fof(f5054,plain,
    ( spl2_891
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_891])]) ).

fof(f561,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f5052,plain,
    spl2_890,
    inference(avatar_split_clause,[],[f560,f5050]) ).

fof(f5050,plain,
    ( spl2_890
  <=> n26 = sum(n18,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_890])]) ).

fof(f560,plain,
    n26 = sum(n18,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5048,plain,
    spl2_889,
    inference(avatar_split_clause,[],[f559,f5046]) ).

fof(f5046,plain,
    ( spl2_889
  <=> n24 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_889])]) ).

fof(f559,plain,
    n24 = sum(n13,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f5044,plain,
    spl2_888,
    inference(avatar_split_clause,[],[f558,f5042]) ).

fof(f5042,plain,
    ( spl2_888
  <=> n16 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_888])]) ).

fof(f558,plain,
    n16 = sum(n1,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f5040,plain,
    spl2_887,
    inference(avatar_split_clause,[],[f557,f5038]) ).

fof(f5038,plain,
    ( spl2_887
  <=> n17 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_887])]) ).

fof(f557,plain,
    n17 = sum(n4,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5036,plain,
    spl2_886,
    inference(avatar_split_clause,[],[f556,f5034]) ).

fof(f5034,plain,
    ( spl2_886
  <=> n13 = sum(n18,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_886])]) ).

fof(f556,plain,
    n13 = sum(n18,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f5032,plain,
    spl2_885,
    inference(avatar_split_clause,[],[f555,f5030]) ).

fof(f5030,plain,
    ( spl2_885
  <=> n24 = sum(n22,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_885])]) ).

fof(f555,plain,
    n24 = sum(n22,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f5028,plain,
    spl2_884,
    inference(avatar_split_clause,[],[f553,f5026]) ).

fof(f5026,plain,
    ( spl2_884
  <=> n9 = sum(n26,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_884])]) ).

fof(f553,plain,
    n9 = sum(n26,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f5024,plain,
    spl2_883,
    inference(avatar_split_clause,[],[f552,f5022]) ).

fof(f5022,plain,
    ( spl2_883
  <=> n22 = sum(n25,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_883])]) ).

fof(f552,plain,
    n22 = sum(n25,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f5020,plain,
    spl2_882,
    inference(avatar_split_clause,[],[f551,f5018]) ).

fof(f5018,plain,
    ( spl2_882
  <=> n16 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_882])]) ).

fof(f551,plain,
    n16 = sum(n8,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5016,plain,
    spl2_881,
    inference(avatar_split_clause,[],[f548,f5014]) ).

fof(f5014,plain,
    ( spl2_881
  <=> n22 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_881])]) ).

fof(f548,plain,
    n22 = sum(n14,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f5012,plain,
    spl2_880,
    inference(avatar_split_clause,[],[f546,f5010]) ).

fof(f5010,plain,
    ( spl2_880
  <=> n24 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_880])]) ).

fof(f546,plain,
    n24 = sum(n11,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f5008,plain,
    spl2_879,
    inference(avatar_split_clause,[],[f545,f5006]) ).

fof(f5006,plain,
    ( spl2_879
  <=> n30 = sum(n9,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_879])]) ).

fof(f545,plain,
    n30 = sum(n9,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f5004,plain,
    spl2_878,
    inference(avatar_split_clause,[],[f543,f5002]) ).

fof(f5002,plain,
    ( spl2_878
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_878])]) ).

fof(f543,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f5000,plain,
    spl2_877,
    inference(avatar_split_clause,[],[f539,f4998]) ).

fof(f4998,plain,
    ( spl2_877
  <=> n30 = sum(n7,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_877])]) ).

fof(f539,plain,
    n30 = sum(n7,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4996,plain,
    spl2_876,
    inference(avatar_split_clause,[],[f537,f4994]) ).

fof(f4994,plain,
    ( spl2_876
  <=> n5 = sum(n27,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_876])]) ).

fof(f537,plain,
    n5 = sum(n27,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4992,plain,
    spl2_875,
    inference(avatar_split_clause,[],[f536,f4990]) ).

fof(f4990,plain,
    ( spl2_875
  <=> n29 = sum(n30,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_875])]) ).

fof(f536,plain,
    n29 = sum(n30,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4988,plain,
    spl2_874,
    inference(avatar_split_clause,[],[f535,f4986]) ).

fof(f4986,plain,
    ( spl2_874
  <=> n17 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_874])]) ).

fof(f535,plain,
    n17 = sum(n3,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4984,plain,
    spl2_873,
    inference(avatar_split_clause,[],[f533,f4982]) ).

fof(f4982,plain,
    ( spl2_873
  <=> n15 = sum(n16,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_873])]) ).

fof(f533,plain,
    n15 = sum(n16,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4980,plain,
    spl2_872,
    inference(avatar_split_clause,[],[f532,f4978]) ).

fof(f4978,plain,
    ( spl2_872
  <=> n5 = sum(n19,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_872])]) ).

fof(f532,plain,
    n5 = sum(n19,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4976,plain,
    spl2_871,
    inference(avatar_split_clause,[],[f530,f4974]) ).

fof(f4974,plain,
    ( spl2_871
  <=> n19 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_871])]) ).

fof(f530,plain,
    n19 = sum(n13,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4972,plain,
    spl2_870,
    inference(avatar_split_clause,[],[f529,f4970]) ).

fof(f4970,plain,
    ( spl2_870
  <=> n4 = sum(n23,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_870])]) ).

fof(f529,plain,
    n4 = sum(n23,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f4968,plain,
    spl2_869,
    inference(avatar_split_clause,[],[f528,f4966]) ).

fof(f4966,plain,
    ( spl2_869
  <=> n17 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_869])]) ).

fof(f528,plain,
    n17 = sum(n14,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4964,plain,
    spl2_868,
    inference(avatar_split_clause,[],[f525,f4962]) ).

fof(f4962,plain,
    ( spl2_868
  <=> n5 = sum(n6,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_868])]) ).

fof(f525,plain,
    n5 = sum(n6,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4960,plain,
    spl2_867,
    inference(avatar_split_clause,[],[f524,f4958]) ).

fof(f4958,plain,
    ( spl2_867
  <=> n6 = sum(n7,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_867])]) ).

fof(f524,plain,
    n6 = sum(n7,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4956,plain,
    spl2_866,
    inference(avatar_split_clause,[],[f522,f4954]) ).

fof(f4954,plain,
    ( spl2_866
  <=> n24 = sum(n1,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_866])]) ).

fof(f522,plain,
    n24 = sum(n1,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4952,plain,
    spl2_865,
    inference(avatar_split_clause,[],[f521,f4950]) ).

fof(f4950,plain,
    ( spl2_865
  <=> n11 = sum(n29,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_865])]) ).

fof(f521,plain,
    n11 = sum(n29,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4948,plain,
    spl2_864,
    inference(avatar_split_clause,[],[f518,f4946]) ).

fof(f518,plain,
    n27 = sum(n27,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4944,plain,
    spl2_863,
    inference(avatar_split_clause,[],[f516,f4942]) ).

fof(f4942,plain,
    ( spl2_863
  <=> n18 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_863])]) ).

fof(f516,plain,
    n18 = sum(n8,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f4940,plain,
    spl2_862,
    inference(avatar_split_clause,[],[f514,f4938]) ).

fof(f4938,plain,
    ( spl2_862
  <=> n16 = sum(n21,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_862])]) ).

fof(f514,plain,
    n16 = sum(n21,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4936,plain,
    spl2_861,
    inference(avatar_split_clause,[],[f513,f4934]) ).

fof(f4934,plain,
    ( spl2_861
  <=> n27 = sum(n10,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_861])]) ).

fof(f513,plain,
    n27 = sum(n10,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4932,plain,
    spl2_860,
    inference(avatar_split_clause,[],[f512,f4930]) ).

fof(f4930,plain,
    ( spl2_860
  <=> n20 = sum(n28,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_860])]) ).

fof(f512,plain,
    n20 = sum(n28,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4928,plain,
    spl2_859,
    inference(avatar_split_clause,[],[f505,f4926]) ).

fof(f4926,plain,
    ( spl2_859
  <=> n3 = sum(n8,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_859])]) ).

fof(f505,plain,
    n3 = sum(n8,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4924,plain,
    spl2_858,
    inference(avatar_split_clause,[],[f504,f4922]) ).

fof(f4922,plain,
    ( spl2_858
  <=> n29 = sum(n21,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_858])]) ).

fof(f504,plain,
    n29 = sum(n21,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4920,plain,
    spl2_857,
    inference(avatar_split_clause,[],[f503,f4918]) ).

fof(f4918,plain,
    ( spl2_857
  <=> n26 = sum(n0,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_857])]) ).

fof(f503,plain,
    n26 = sum(n0,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4916,plain,
    spl2_856,
    inference(avatar_split_clause,[],[f502,f4914]) ).

fof(f4914,plain,
    ( spl2_856
  <=> n26 = sum(n17,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_856])]) ).

fof(f502,plain,
    n26 = sum(n17,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4912,plain,
    spl2_855,
    inference(avatar_split_clause,[],[f501,f4910]) ).

fof(f4910,plain,
    ( spl2_855
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_855])]) ).

fof(f501,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4908,plain,
    spl2_854,
    inference(avatar_split_clause,[],[f499,f4906]) ).

fof(f4906,plain,
    ( spl2_854
  <=> n2 = sum(n22,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_854])]) ).

fof(f499,plain,
    n2 = sum(n22,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f4904,plain,
    spl2_853,
    inference(avatar_split_clause,[],[f497,f4902]) ).

fof(f4902,plain,
    ( spl2_853
  <=> n23 = sum(n1,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_853])]) ).

fof(f497,plain,
    n23 = sum(n1,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4900,plain,
    spl2_852,
    inference(avatar_split_clause,[],[f496,f4898]) ).

fof(f4898,plain,
    ( spl2_852
  <=> n15 = sum(n19,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_852])]) ).

fof(f496,plain,
    n15 = sum(n19,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4896,plain,
    spl2_851,
    inference(avatar_split_clause,[],[f495,f4894]) ).

fof(f4894,plain,
    ( spl2_851
  <=> n22 = sum(n21,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_851])]) ).

fof(f495,plain,
    n22 = sum(n21,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f4892,plain,
    spl2_850,
    inference(avatar_split_clause,[],[f493,f4890]) ).

fof(f4890,plain,
    ( spl2_850
  <=> n20 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_850])]) ).

fof(f493,plain,
    n20 = sum(n14,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4888,plain,
    spl2_849,
    inference(avatar_split_clause,[],[f492,f4886]) ).

fof(f4886,plain,
    ( spl2_849
  <=> n30 = sum(n25,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_849])]) ).

fof(f492,plain,
    n30 = sum(n25,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4884,plain,
    spl2_848,
    inference(avatar_split_clause,[],[f490,f4882]) ).

fof(f4882,plain,
    ( spl2_848
  <=> n23 = sum(n30,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_848])]) ).

fof(f490,plain,
    n23 = sum(n30,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f4880,plain,
    spl2_847,
    inference(avatar_split_clause,[],[f489,f4878]) ).

fof(f4878,plain,
    ( spl2_847
  <=> n24 = sum(n16,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_847])]) ).

fof(f489,plain,
    n24 = sum(n16,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4876,plain,
    spl2_846,
    inference(avatar_split_clause,[],[f487,f4874]) ).

fof(f4874,plain,
    ( spl2_846
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_846])]) ).

fof(f487,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4872,plain,
    spl2_845,
    inference(avatar_split_clause,[],[f486,f4870]) ).

fof(f4870,plain,
    ( spl2_845
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_845])]) ).

fof(f486,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4868,plain,
    spl2_844,
    inference(avatar_split_clause,[],[f485,f4866]) ).

fof(f4866,plain,
    ( spl2_844
  <=> n8 = sum(n17,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_844])]) ).

fof(f485,plain,
    n8 = sum(n17,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4864,plain,
    spl2_843,
    inference(avatar_split_clause,[],[f484,f4862]) ).

fof(f4862,plain,
    ( spl2_843
  <=> n5 = sum(n30,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_843])]) ).

fof(f484,plain,
    n5 = sum(n30,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4860,plain,
    spl2_842,
    inference(avatar_split_clause,[],[f482,f4858]) ).

fof(f4858,plain,
    ( spl2_842
  <=> n18 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_842])]) ).

fof(f482,plain,
    n18 = sum(n3,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4856,plain,
    spl2_841,
    inference(avatar_split_clause,[],[f480,f4854]) ).

fof(f4854,plain,
    ( spl2_841
  <=> n0 = sum(n26,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_841])]) ).

fof(f480,plain,
    n0 = sum(n26,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4852,plain,
    spl2_840,
    inference(avatar_split_clause,[],[f476,f4850]) ).

fof(f476,plain,
    n29 = sum(n29,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4848,plain,
    spl2_839,
    inference(avatar_split_clause,[],[f475,f4846]) ).

fof(f4846,plain,
    ( spl2_839
  <=> n1 = sum(n13,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_839])]) ).

fof(f475,plain,
    n1 = sum(n13,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4844,plain,
    spl2_838,
    inference(avatar_split_clause,[],[f474,f4842]) ).

fof(f4842,plain,
    ( spl2_838
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_838])]) ).

fof(f474,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4840,plain,
    spl2_837,
    inference(avatar_split_clause,[],[f473,f4838]) ).

fof(f4838,plain,
    ( spl2_837
  <=> n2 = sum(n4,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_837])]) ).

fof(f473,plain,
    n2 = sum(n4,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4836,plain,
    spl2_836,
    inference(avatar_split_clause,[],[f472,f4834]) ).

fof(f4834,plain,
    ( spl2_836
  <=> n4 = sum(n26,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_836])]) ).

fof(f472,plain,
    n4 = sum(n26,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4832,plain,
    spl2_835,
    inference(avatar_split_clause,[],[f470,f4830]) ).

fof(f4830,plain,
    ( spl2_835
  <=> n7 = sum(n9,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_835])]) ).

fof(f470,plain,
    n7 = sum(n9,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4828,plain,
    spl2_834,
    inference(avatar_split_clause,[],[f468,f4826]) ).

fof(f4826,plain,
    ( spl2_834
  <=> n1 = sum(n22,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_834])]) ).

fof(f468,plain,
    n1 = sum(n22,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f4824,plain,
    spl2_833,
    inference(avatar_split_clause,[],[f467,f4822]) ).

fof(f4822,plain,
    ( spl2_833
  <=> n18 = sum(n23,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_833])]) ).

fof(f467,plain,
    n18 = sum(n23,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4820,plain,
    spl2_832,
    inference(avatar_split_clause,[],[f466,f4818]) ).

fof(f4818,plain,
    ( spl2_832
  <=> n29 = sum(n8,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_832])]) ).

fof(f466,plain,
    n29 = sum(n8,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4816,plain,
    spl2_831,
    inference(avatar_split_clause,[],[f465,f4814]) ).

fof(f4814,plain,
    ( spl2_831
  <=> n20 = sum(n24,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_831])]) ).

fof(f465,plain,
    n20 = sum(n24,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4812,plain,
    spl2_830,
    inference(avatar_split_clause,[],[f463,f4810]) ).

fof(f4810,plain,
    ( spl2_830
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_830])]) ).

fof(f463,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4808,plain,
    spl2_829,
    inference(avatar_split_clause,[],[f462,f4806]) ).

fof(f4806,plain,
    ( spl2_829
  <=> n26 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_829])]) ).

fof(f462,plain,
    n26 = sum(n15,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f4804,plain,
    spl2_828,
    inference(avatar_split_clause,[],[f461,f4802]) ).

fof(f4802,plain,
    ( spl2_828
  <=> n4 = sum(n18,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_828])]) ).

fof(f461,plain,
    n4 = sum(n18,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4800,plain,
    spl2_827,
    inference(avatar_split_clause,[],[f459,f4798]) ).

fof(f4798,plain,
    ( spl2_827
  <=> n9 = sum(n27,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_827])]) ).

fof(f459,plain,
    n9 = sum(n27,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4796,plain,
    spl2_826,
    inference(avatar_split_clause,[],[f457,f4794]) ).

fof(f4794,plain,
    ( spl2_826
  <=> n4 = sum(n13,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_826])]) ).

fof(f457,plain,
    n4 = sum(n13,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4792,plain,
    spl2_825,
    inference(avatar_split_clause,[],[f456,f4790]) ).

fof(f4790,plain,
    ( spl2_825
  <=> n17 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_825])]) ).

fof(f456,plain,
    n17 = sum(n7,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f4788,plain,
    spl2_824,
    inference(avatar_split_clause,[],[f455,f4786]) ).

fof(f4786,plain,
    ( spl2_824
  <=> n29 = sum(n26,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_824])]) ).

fof(f455,plain,
    n29 = sum(n26,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4784,plain,
    spl2_823,
    inference(avatar_split_clause,[],[f452,f4782]) ).

fof(f4782,plain,
    ( spl2_823
  <=> n18 = sum(n20,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_823])]) ).

fof(f452,plain,
    n18 = sum(n20,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4780,plain,
    spl2_822,
    inference(avatar_split_clause,[],[f451,f4778]) ).

fof(f4778,plain,
    ( spl2_822
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_822])]) ).

fof(f451,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4776,plain,
    spl2_821,
    inference(avatar_split_clause,[],[f449,f4774]) ).

fof(f4774,plain,
    ( spl2_821
  <=> n27 = sum(n20,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_821])]) ).

fof(f449,plain,
    n27 = sum(n20,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f4772,plain,
    spl2_820,
    inference(avatar_split_clause,[],[f447,f4770]) ).

fof(f4770,plain,
    ( spl2_820
  <=> n0 = sum(n4,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_820])]) ).

fof(f447,plain,
    n0 = sum(n4,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4768,plain,
    spl2_819,
    inference(avatar_split_clause,[],[f446,f4766]) ).

fof(f4766,plain,
    ( spl2_819
  <=> n10 = sum(n18,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_819])]) ).

fof(f446,plain,
    n10 = sum(n18,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4764,plain,
    spl2_818,
    inference(avatar_split_clause,[],[f445,f4762]) ).

fof(f4762,plain,
    ( spl2_818
  <=> n26 = sum(n7,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_818])]) ).

fof(f445,plain,
    n26 = sum(n7,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4760,plain,
    spl2_817,
    inference(avatar_split_clause,[],[f441,f4758]) ).

fof(f4758,plain,
    ( spl2_817
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_817])]) ).

fof(f441,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f4756,plain,
    spl2_816,
    inference(avatar_split_clause,[],[f440,f4754]) ).

fof(f4754,plain,
    ( spl2_816
  <=> n28 = sum(n24,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_816])]) ).

fof(f440,plain,
    n28 = sum(n24,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4752,plain,
    spl2_815,
    inference(avatar_split_clause,[],[f439,f4750]) ).

fof(f4750,plain,
    ( spl2_815
  <=> n21 = sum(n0,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_815])]) ).

fof(f439,plain,
    n21 = sum(n0,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4748,plain,
    spl2_814,
    inference(avatar_split_clause,[],[f438,f4746]) ).

fof(f4746,plain,
    ( spl2_814
  <=> n3 = sum(n14,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_814])]) ).

fof(f438,plain,
    n3 = sum(n14,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4744,plain,
    spl2_813,
    inference(avatar_split_clause,[],[f435,f4742]) ).

fof(f4742,plain,
    ( spl2_813
  <=> n22 = sum(n20,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_813])]) ).

fof(f435,plain,
    n22 = sum(n20,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4740,plain,
    spl2_812,
    inference(avatar_split_clause,[],[f434,f4738]) ).

fof(f4738,plain,
    ( spl2_812
  <=> n2 = sum(n30,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_812])]) ).

fof(f434,plain,
    n2 = sum(n30,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4736,plain,
    spl2_811,
    inference(avatar_split_clause,[],[f433,f4734]) ).

fof(f4734,plain,
    ( spl2_811
  <=> n29 = sum(n27,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_811])]) ).

fof(f433,plain,
    n29 = sum(n27,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4732,plain,
    spl2_810,
    inference(avatar_split_clause,[],[f430,f4730]) ).

fof(f4730,plain,
    ( spl2_810
  <=> n2 = sum(n3,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_810])]) ).

fof(f430,plain,
    n2 = sum(n3,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4728,plain,
    spl2_809,
    inference(avatar_split_clause,[],[f429,f4726]) ).

fof(f4726,plain,
    ( spl2_809
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_809])]) ).

fof(f429,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4724,plain,
    spl2_808,
    inference(avatar_split_clause,[],[f428,f4722]) ).

fof(f4722,plain,
    ( spl2_808
  <=> n6 = sum(n17,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_808])]) ).

fof(f428,plain,
    n6 = sum(n17,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4720,plain,
    spl2_807,
    inference(avatar_split_clause,[],[f427,f4718]) ).

fof(f4718,plain,
    ( spl2_807
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_807])]) ).

fof(f427,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f4716,plain,
    spl2_806,
    inference(avatar_split_clause,[],[f426,f4714]) ).

fof(f4714,plain,
    ( spl2_806
  <=> n27 = sum(n19,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_806])]) ).

fof(f426,plain,
    n27 = sum(n19,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4712,plain,
    spl2_805,
    inference(avatar_split_clause,[],[f425,f4710]) ).

fof(f4710,plain,
    ( spl2_805
  <=> n4 = sum(n19,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_805])]) ).

fof(f425,plain,
    n4 = sum(n19,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f4708,plain,
    spl2_804,
    inference(avatar_split_clause,[],[f423,f4706]) ).

fof(f4706,plain,
    ( spl2_804
  <=> n2 = sum(n5,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_804])]) ).

fof(f423,plain,
    n2 = sum(n5,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4704,plain,
    spl2_803,
    inference(avatar_split_clause,[],[f421,f4702]) ).

fof(f4702,plain,
    ( spl2_803
  <=> n14 = sum(n27,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_803])]) ).

fof(f421,plain,
    n14 = sum(n27,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4700,plain,
    spl2_802,
    inference(avatar_split_clause,[],[f416,f4698]) ).

fof(f4698,plain,
    ( spl2_802
  <=> n23 = sum(n0,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_802])]) ).

fof(f416,plain,
    n23 = sum(n0,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4696,plain,
    spl2_801,
    inference(avatar_split_clause,[],[f415,f4694]) ).

fof(f4694,plain,
    ( spl2_801
  <=> n19 = sum(n25,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_801])]) ).

fof(f415,plain,
    n19 = sum(n25,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4692,plain,
    spl2_800,
    inference(avatar_split_clause,[],[f412,f4690]) ).

fof(f4690,plain,
    ( spl2_800
  <=> n0 = sum(n6,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_800])]) ).

fof(f412,plain,
    n0 = sum(n6,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4688,plain,
    spl2_799,
    inference(avatar_split_clause,[],[f411,f4686]) ).

fof(f4686,plain,
    ( spl2_799
  <=> n30 = sum(n17,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_799])]) ).

fof(f411,plain,
    n30 = sum(n17,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4684,plain,
    spl2_798,
    inference(avatar_split_clause,[],[f410,f4682]) ).

fof(f4682,plain,
    ( spl2_798
  <=> n23 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_798])]) ).

fof(f410,plain,
    n23 = sum(n14,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4680,plain,
    spl2_797,
    inference(avatar_split_clause,[],[f409,f4678]) ).

fof(f4678,plain,
    ( spl2_797
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_797])]) ).

fof(f409,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4676,plain,
    spl2_796,
    inference(avatar_split_clause,[],[f407,f4674]) ).

fof(f4674,plain,
    ( spl2_796
  <=> n23 = sum(n6,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_796])]) ).

fof(f407,plain,
    n23 = sum(n6,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4672,plain,
    spl2_795,
    inference(avatar_split_clause,[],[f405,f4670]) ).

fof(f4670,plain,
    ( spl2_795
  <=> n26 = sum(n29,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_795])]) ).

fof(f405,plain,
    n26 = sum(n29,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4668,plain,
    spl2_794,
    inference(avatar_split_clause,[],[f404,f4666]) ).

fof(f404,plain,
    n27 = sum(n29,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4664,plain,
    spl2_793,
    inference(avatar_split_clause,[],[f403,f4662]) ).

fof(f4662,plain,
    ( spl2_793
  <=> n29 = sum(n16,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_793])]) ).

fof(f403,plain,
    n29 = sum(n16,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4660,plain,
    spl2_792,
    inference(avatar_split_clause,[],[f400,f4658]) ).

fof(f4658,plain,
    ( spl2_792
  <=> n6 = sum(n14,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_792])]) ).

fof(f400,plain,
    n6 = sum(n14,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4656,plain,
    spl2_791,
    inference(avatar_split_clause,[],[f397,f4654]) ).

fof(f4654,plain,
    ( spl2_791
  <=> n13 = sum(n29,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_791])]) ).

fof(f397,plain,
    n13 = sum(n29,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4652,plain,
    spl2_790,
    inference(avatar_split_clause,[],[f395,f4650]) ).

fof(f4650,plain,
    ( spl2_790
  <=> n22 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_790])]) ).

fof(f395,plain,
    n22 = sum(n9,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4648,plain,
    spl2_789,
    inference(avatar_split_clause,[],[f394,f4646]) ).

fof(f4646,plain,
    ( spl2_789
  <=> n7 = sum(n8,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_789])]) ).

fof(f394,plain,
    n7 = sum(n8,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4644,plain,
    spl2_788,
    inference(avatar_split_clause,[],[f393,f4642]) ).

fof(f4642,plain,
    ( spl2_788
  <=> n10 = sum(n29,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_788])]) ).

fof(f393,plain,
    n10 = sum(n29,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f4640,plain,
    spl2_787,
    inference(avatar_split_clause,[],[f392,f4638]) ).

fof(f4638,plain,
    ( spl2_787
  <=> n29 = sum(n1,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_787])]) ).

fof(f392,plain,
    n29 = sum(n1,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4636,plain,
    spl2_786,
    inference(avatar_split_clause,[],[f391,f4634]) ).

fof(f4634,plain,
    ( spl2_786
  <=> n23 = sum(n2,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_786])]) ).

fof(f391,plain,
    n23 = sum(n2,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4632,plain,
    spl2_785,
    inference(avatar_split_clause,[],[f390,f4630]) ).

fof(f4630,plain,
    ( spl2_785
  <=> n2 = sum(n9,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_785])]) ).

fof(f390,plain,
    n2 = sum(n9,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f4628,plain,
    spl2_784,
    inference(avatar_split_clause,[],[f389,f4626]) ).

fof(f4626,plain,
    ( spl2_784
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_784])]) ).

fof(f389,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4624,plain,
    spl2_783,
    inference(avatar_split_clause,[],[f388,f4622]) ).

fof(f4622,plain,
    ( spl2_783
  <=> n30 = sum(n30,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_783])]) ).

fof(f388,plain,
    n30 = sum(n30,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4620,plain,
    spl2_782,
    inference(avatar_split_clause,[],[f387,f4618]) ).

fof(f4618,plain,
    ( spl2_782
  <=> n21 = sum(n2,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_782])]) ).

fof(f387,plain,
    n21 = sum(n2,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4616,plain,
    spl2_781,
    inference(avatar_split_clause,[],[f385,f4614]) ).

fof(f4614,plain,
    ( spl2_781
  <=> n19 = sum(n30,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_781])]) ).

fof(f385,plain,
    n19 = sum(n30,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4612,plain,
    spl2_780,
    inference(avatar_split_clause,[],[f383,f4610]) ).

fof(f4610,plain,
    ( spl2_780
  <=> n27 = sum(n11,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_780])]) ).

fof(f383,plain,
    n27 = sum(n11,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f4608,plain,
    spl2_779,
    inference(avatar_split_clause,[],[f382,f4606]) ).

fof(f4606,plain,
    ( spl2_779
  <=> n4 = sum(n10,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_779])]) ).

fof(f382,plain,
    n4 = sum(n10,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4604,plain,
    spl2_778,
    inference(avatar_split_clause,[],[f381,f4602]) ).

fof(f4602,plain,
    ( spl2_778
  <=> n20 = sum(n27,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_778])]) ).

fof(f381,plain,
    n20 = sum(n27,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f4600,plain,
    spl2_777,
    inference(avatar_split_clause,[],[f380,f4598]) ).

fof(f4598,plain,
    ( spl2_777
  <=> n12 = sum(n25,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_777])]) ).

fof(f380,plain,
    n12 = sum(n25,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4596,plain,
    spl2_776,
    inference(avatar_split_clause,[],[f378,f4594]) ).

fof(f4594,plain,
    ( spl2_776
  <=> n19 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_776])]) ).

fof(f378,plain,
    n19 = sum(n14,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4592,plain,
    spl2_775,
    inference(avatar_split_clause,[],[f376,f4590]) ).

fof(f4590,plain,
    ( spl2_775
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_775])]) ).

fof(f376,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4588,plain,
    spl2_774,
    inference(avatar_split_clause,[],[f375,f4586]) ).

fof(f4586,plain,
    ( spl2_774
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_774])]) ).

fof(f375,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4584,plain,
    spl2_773,
    inference(avatar_split_clause,[],[f374,f4582]) ).

fof(f4582,plain,
    ( spl2_773
  <=> n25 = sum(n7,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_773])]) ).

fof(f374,plain,
    n25 = sum(n7,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4580,plain,
    spl2_772,
    inference(avatar_split_clause,[],[f373,f4578]) ).

fof(f4578,plain,
    ( spl2_772
  <=> n8 = sum(n9,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_772])]) ).

fof(f373,plain,
    n8 = sum(n9,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4576,plain,
    spl2_771,
    inference(avatar_split_clause,[],[f372,f4574]) ).

fof(f4574,plain,
    ( spl2_771
  <=> n20 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_771])]) ).

fof(f372,plain,
    n20 = sum(n5,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4572,plain,
    spl2_770,
    inference(avatar_split_clause,[],[f371,f4570]) ).

fof(f371,plain,
    n25 = sum(n27,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4568,plain,
    spl2_769,
    inference(avatar_split_clause,[],[f370,f4566]) ).

fof(f4566,plain,
    ( spl2_769
  <=> n16 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_769])]) ).

fof(f370,plain,
    n16 = sum(n14,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4564,plain,
    spl2_768,
    inference(avatar_split_clause,[],[f368,f4562]) ).

fof(f4562,plain,
    ( spl2_768
  <=> n11 = sum(n13,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_768])]) ).

fof(f368,plain,
    n11 = sum(n13,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4560,plain,
    spl2_767,
    inference(avatar_split_clause,[],[f366,f4558]) ).

fof(f4558,plain,
    ( spl2_767
  <=> n11 = sum(n15,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_767])]) ).

fof(f366,plain,
    n11 = sum(n15,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4556,plain,
    spl2_766,
    inference(avatar_split_clause,[],[f365,f4554]) ).

fof(f4554,plain,
    ( spl2_766
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_766])]) ).

fof(f365,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4552,plain,
    spl2_765,
    inference(avatar_split_clause,[],[f364,f4550]) ).

fof(f4550,plain,
    ( spl2_765
  <=> n15 = sum(n29,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_765])]) ).

fof(f364,plain,
    n15 = sum(n29,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4548,plain,
    spl2_764,
    inference(avatar_split_clause,[],[f363,f4546]) ).

fof(f4546,plain,
    ( spl2_764
  <=> n17 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_764])]) ).

fof(f363,plain,
    n17 = sum(n12,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4544,plain,
    spl2_763,
    inference(avatar_split_clause,[],[f358,f4542]) ).

fof(f4542,plain,
    ( spl2_763
  <=> n13 = sum(n14,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_763])]) ).

fof(f358,plain,
    n13 = sum(n14,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4540,plain,
    spl2_762,
    inference(avatar_split_clause,[],[f356,f4538]) ).

fof(f4538,plain,
    ( spl2_762
  <=> n27 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_762])]) ).

fof(f356,plain,
    n27 = sum(n12,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4536,plain,
    spl2_761,
    inference(avatar_split_clause,[],[f354,f4534]) ).

fof(f4534,plain,
    ( spl2_761
  <=> n3 = sum(n16,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_761])]) ).

fof(f354,plain,
    n3 = sum(n16,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4532,plain,
    spl2_760,
    inference(avatar_split_clause,[],[f352,f4530]) ).

fof(f4530,plain,
    ( spl2_760
  <=> n4 = sum(n30,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_760])]) ).

fof(f352,plain,
    n4 = sum(n30,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4528,plain,
    spl2_759,
    inference(avatar_split_clause,[],[f350,f4526]) ).

fof(f4526,plain,
    ( spl2_759
  <=> n12 = sum(n14,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_759])]) ).

fof(f350,plain,
    n12 = sum(n14,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4524,plain,
    spl2_758,
    inference(avatar_split_clause,[],[f349,f4522]) ).

fof(f4522,plain,
    ( spl2_758
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_758])]) ).

fof(f349,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4520,plain,
    spl2_757,
    inference(avatar_split_clause,[],[f347,f4518]) ).

fof(f4518,plain,
    ( spl2_757
  <=> n3 = sum(n28,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_757])]) ).

fof(f347,plain,
    n3 = sum(n28,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4516,plain,
    spl2_756,
    inference(avatar_split_clause,[],[f345,f4514]) ).

fof(f4514,plain,
    ( spl2_756
  <=> n7 = sum(n19,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_756])]) ).

fof(f345,plain,
    n7 = sum(n19,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4512,plain,
    spl2_755,
    inference(avatar_split_clause,[],[f344,f4510]) ).

fof(f4510,plain,
    ( spl2_755
  <=> n15 = sum(n18,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_755])]) ).

fof(f344,plain,
    n15 = sum(n18,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4508,plain,
    spl2_754,
    inference(avatar_split_clause,[],[f342,f4506]) ).

fof(f4506,plain,
    ( spl2_754
  <=> n1 = sum(n26,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_754])]) ).

fof(f342,plain,
    n1 = sum(n26,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4504,plain,
    spl2_753,
    inference(avatar_split_clause,[],[f340,f4502]) ).

fof(f4502,plain,
    ( spl2_753
  <=> n16 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_753])]) ).

fof(f340,plain,
    n16 = sum(n5,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f4500,plain,
    spl2_752,
    inference(avatar_split_clause,[],[f339,f4498]) ).

fof(f4498,plain,
    ( spl2_752
  <=> n17 = sum(n19,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_752])]) ).

fof(f339,plain,
    n17 = sum(n19,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4496,plain,
    spl2_751,
    inference(avatar_split_clause,[],[f338,f4494]) ).

fof(f4494,plain,
    ( spl2_751
  <=> n8 = sum(n20,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_751])]) ).

fof(f338,plain,
    n8 = sum(n20,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4492,plain,
    spl2_750,
    inference(avatar_split_clause,[],[f337,f4490]) ).

fof(f4490,plain,
    ( spl2_750
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_750])]) ).

fof(f337,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f4488,plain,
    spl2_749,
    inference(avatar_split_clause,[],[f336,f4486]) ).

fof(f4486,plain,
    ( spl2_749
  <=> n11 = sum(n22,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_749])]) ).

fof(f336,plain,
    n11 = sum(n22,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4484,plain,
    spl2_748,
    inference(avatar_split_clause,[],[f335,f4482]) ).

fof(f4482,plain,
    ( spl2_748
  <=> n24 = sum(n24,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_748])]) ).

fof(f335,plain,
    n24 = sum(n24,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4480,plain,
    spl2_747,
    inference(avatar_split_clause,[],[f334,f4478]) ).

fof(f4478,plain,
    ( spl2_747
  <=> n23 = sum(n17,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_747])]) ).

fof(f334,plain,
    n23 = sum(n17,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4476,plain,
    spl2_746,
    inference(avatar_split_clause,[],[f333,f4474]) ).

fof(f4474,plain,
    ( spl2_746
  <=> n12 = sum(n13,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_746])]) ).

fof(f333,plain,
    n12 = sum(n13,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f4472,plain,
    spl2_745,
    inference(avatar_split_clause,[],[f331,f4470]) ).

fof(f4470,plain,
    ( spl2_745
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_745])]) ).

fof(f331,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f4468,plain,
    spl2_744,
    inference(avatar_split_clause,[],[f330,f4466]) ).

fof(f4466,plain,
    ( spl2_744
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_744])]) ).

fof(f330,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4464,plain,
    spl2_743,
    inference(avatar_split_clause,[],[f329,f4462]) ).

fof(f4462,plain,
    ( spl2_743
  <=> n20 = sum(n26,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_743])]) ).

fof(f329,plain,
    n20 = sum(n26,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4460,plain,
    spl2_742,
    inference(avatar_split_clause,[],[f328,f4458]) ).

fof(f4458,plain,
    ( spl2_742
  <=> n13 = sum(n21,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_742])]) ).

fof(f328,plain,
    n13 = sum(n21,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4456,plain,
    spl2_741,
    inference(avatar_split_clause,[],[f326,f4454]) ).

fof(f4454,plain,
    ( spl2_741
  <=> n3 = sum(n27,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_741])]) ).

fof(f326,plain,
    n3 = sum(n27,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f4452,plain,
    spl2_740,
    inference(avatar_split_clause,[],[f320,f4450]) ).

fof(f4450,plain,
    ( spl2_740
  <=> n10 = sum(n23,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_740])]) ).

fof(f320,plain,
    n10 = sum(n23,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4448,plain,
    spl2_739,
    inference(avatar_split_clause,[],[f318,f4446]) ).

fof(f4446,plain,
    ( spl2_739
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_739])]) ).

fof(f318,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4444,plain,
    spl2_738,
    inference(avatar_split_clause,[],[f317,f4442]) ).

fof(f4442,plain,
    ( spl2_738
  <=> n22 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_738])]) ).

fof(f317,plain,
    n22 = sum(n7,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4440,plain,
    spl2_737,
    inference(avatar_split_clause,[],[f316,f4438]) ).

fof(f4438,plain,
    ( spl2_737
  <=> n23 = sum(n25,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_737])]) ).

fof(f316,plain,
    n23 = sum(n25,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4436,plain,
    spl2_736,
    inference(avatar_split_clause,[],[f315,f4434]) ).

fof(f4434,plain,
    ( spl2_736
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_736])]) ).

fof(f315,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f4432,plain,
    spl2_735,
    inference(avatar_split_clause,[],[f314,f4430]) ).

fof(f4430,plain,
    ( spl2_735
  <=> n24 = sum(n23,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_735])]) ).

fof(f314,plain,
    n24 = sum(n23,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f4428,plain,
    spl2_734,
    inference(avatar_split_clause,[],[f313,f4426]) ).

fof(f4426,plain,
    ( spl2_734
  <=> n12 = sum(n23,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_734])]) ).

fof(f313,plain,
    n12 = sum(n23,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4424,plain,
    spl2_733,
    inference(avatar_split_clause,[],[f310,f4422]) ).

fof(f4422,plain,
    ( spl2_733
  <=> n15 = sum(n24,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_733])]) ).

fof(f310,plain,
    n15 = sum(n24,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4420,plain,
    spl2_732,
    inference(avatar_split_clause,[],[f309,f4418]) ).

fof(f4418,plain,
    ( spl2_732
  <=> n14 = sum(n28,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_732])]) ).

fof(f309,plain,
    n14 = sum(n28,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4416,plain,
    spl2_731,
    inference(avatar_split_clause,[],[f308,f4414]) ).

fof(f4414,plain,
    ( spl2_731
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_731])]) ).

fof(f308,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f4412,plain,
    spl2_730,
    inference(avatar_split_clause,[],[f304,f4410]) ).

fof(f4410,plain,
    ( spl2_730
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_730])]) ).

fof(f304,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f4408,plain,
    spl2_729,
    inference(avatar_split_clause,[],[f303,f4406]) ).

fof(f4406,plain,
    ( spl2_729
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_729])]) ).

fof(f303,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4404,plain,
    spl2_728,
    inference(avatar_split_clause,[],[f300,f4402]) ).

fof(f4402,plain,
    ( spl2_728
  <=> n27 = sum(n1,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_728])]) ).

fof(f300,plain,
    n27 = sum(n1,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4400,plain,
    spl2_727,
    inference(avatar_split_clause,[],[f299,f4398]) ).

fof(f4398,plain,
    ( spl2_727
  <=> n3 = sum(n25,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_727])]) ).

fof(f299,plain,
    n3 = sum(n25,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4396,plain,
    spl2_726,
    inference(avatar_split_clause,[],[f297,f4394]) ).

fof(f4394,plain,
    ( spl2_726
  <=> n30 = sum(n4,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_726])]) ).

fof(f297,plain,
    n30 = sum(n4,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4392,plain,
    spl2_725,
    inference(avatar_split_clause,[],[f296,f4390]) ).

fof(f4390,plain,
    ( spl2_725
  <=> n0 = sum(n18,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_725])]) ).

fof(f296,plain,
    n0 = sum(n18,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4388,plain,
    spl2_724,
    inference(avatar_split_clause,[],[f292,f4386]) ).

fof(f4386,plain,
    ( spl2_724
  <=> n21 = sum(n27,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_724])]) ).

fof(f292,plain,
    n21 = sum(n27,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4384,plain,
    spl2_723,
    inference(avatar_split_clause,[],[f291,f4382]) ).

fof(f4382,plain,
    ( spl2_723
  <=> n21 = sum(n18,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_723])]) ).

fof(f291,plain,
    n21 = sum(n18,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4380,plain,
    spl2_722,
    inference(avatar_split_clause,[],[f290,f4378]) ).

fof(f4378,plain,
    ( spl2_722
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_722])]) ).

fof(f290,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4376,plain,
    spl2_721,
    inference(avatar_split_clause,[],[f289,f4374]) ).

fof(f4374,plain,
    ( spl2_721
  <=> n14 = sum(n17,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_721])]) ).

fof(f289,plain,
    n14 = sum(n17,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4372,plain,
    spl2_720,
    inference(avatar_split_clause,[],[f287,f4370]) ).

fof(f4370,plain,
    ( spl2_720
  <=> n0 = sum(n11,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_720])]) ).

fof(f287,plain,
    n0 = sum(n11,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4368,plain,
    spl2_719,
    inference(avatar_split_clause,[],[f286,f4366]) ).

fof(f4366,plain,
    ( spl2_719
  <=> n12 = sum(n29,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_719])]) ).

fof(f286,plain,
    n12 = sum(n29,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4364,plain,
    spl2_718,
    inference(avatar_split_clause,[],[f284,f4362]) ).

fof(f4362,plain,
    ( spl2_718
  <=> n9 = sum(n22,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_718])]) ).

fof(f284,plain,
    n9 = sum(n22,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4360,plain,
    spl2_717,
    inference(avatar_split_clause,[],[f281,f4358]) ).

fof(f4358,plain,
    ( spl2_717
  <=> n18 = sum(n18,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_717])]) ).

fof(f281,plain,
    n18 = sum(n18,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4356,plain,
    spl2_716,
    inference(avatar_split_clause,[],[f279,f4354]) ).

fof(f4354,plain,
    ( spl2_716
  <=> n10 = sum(n20,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_716])]) ).

fof(f279,plain,
    n10 = sum(n20,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4352,plain,
    spl2_715,
    inference(avatar_split_clause,[],[f278,f4350]) ).

fof(f4350,plain,
    ( spl2_715
  <=> n23 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_715])]) ).

fof(f278,plain,
    n23 = sum(n8,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4348,plain,
    spl2_714,
    inference(avatar_split_clause,[],[f277,f4346]) ).

fof(f4346,plain,
    ( spl2_714
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_714])]) ).

fof(f277,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f4344,plain,
    spl2_713,
    inference(avatar_split_clause,[],[f275,f4342]) ).

fof(f4342,plain,
    ( spl2_713
  <=> n17 = sum(n23,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_713])]) ).

fof(f275,plain,
    n17 = sum(n23,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4340,plain,
    spl2_712,
    inference(avatar_split_clause,[],[f273,f4338]) ).

fof(f4338,plain,
    ( spl2_712
  <=> n6 = sum(n23,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_712])]) ).

fof(f273,plain,
    n6 = sum(n23,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4336,plain,
    spl2_711,
    inference(avatar_split_clause,[],[f270,f4334]) ).

fof(f4334,plain,
    ( spl2_711
  <=> n8 = sum(n21,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_711])]) ).

fof(f270,plain,
    n8 = sum(n21,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4332,plain,
    spl2_710,
    inference(avatar_split_clause,[],[f268,f4330]) ).

fof(f4330,plain,
    ( spl2_710
  <=> n21 = sum(n1,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_710])]) ).

fof(f268,plain,
    n21 = sum(n1,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4328,plain,
    spl2_709,
    inference(avatar_split_clause,[],[f267,f4326]) ).

fof(f4326,plain,
    ( spl2_709
  <=> n21 = sum(n24,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_709])]) ).

fof(f267,plain,
    n21 = sum(n24,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4324,plain,
    spl2_708,
    inference(avatar_split_clause,[],[f266,f4322]) ).

fof(f4322,plain,
    ( spl2_708
  <=> n25 = sum(n22,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_708])]) ).

fof(f266,plain,
    n25 = sum(n22,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4320,plain,
    spl2_707,
    inference(avatar_split_clause,[],[f264,f4318]) ).

fof(f4318,plain,
    ( spl2_707
  <=> n26 = sum(n23,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_707])]) ).

fof(f264,plain,
    n26 = sum(n23,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4316,plain,
    spl2_706,
    inference(avatar_split_clause,[],[f263,f4314]) ).

fof(f4314,plain,
    ( spl2_706
  <=> n30 = sum(n24,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_706])]) ).

fof(f263,plain,
    n30 = sum(n24,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4312,plain,
    spl2_705,
    inference(avatar_split_clause,[],[f262,f4310]) ).

fof(f4310,plain,
    ( spl2_705
  <=> n15 = sum(n28,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_705])]) ).

fof(f262,plain,
    n15 = sum(n28,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4308,plain,
    spl2_704,
    inference(avatar_split_clause,[],[f261,f4306]) ).

fof(f4306,plain,
    ( spl2_704
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_704])]) ).

fof(f261,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4304,plain,
    spl2_703,
    inference(avatar_split_clause,[],[f260,f4302]) ).

fof(f4302,plain,
    ( spl2_703
  <=> n25 = sum(n28,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_703])]) ).

fof(f260,plain,
    n25 = sum(n28,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4300,plain,
    spl2_702,
    inference(avatar_split_clause,[],[f259,f4298]) ).

fof(f4298,plain,
    ( spl2_702
  <=> n12 = sum(n16,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_702])]) ).

fof(f259,plain,
    n12 = sum(n16,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4296,plain,
    spl2_701,
    inference(avatar_split_clause,[],[f258,f4294]) ).

fof(f4294,plain,
    ( spl2_701
  <=> n8 = sum(n27,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_701])]) ).

fof(f258,plain,
    n8 = sum(n27,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f4292,plain,
    spl2_700,
    inference(avatar_split_clause,[],[f257,f4290]) ).

fof(f4290,plain,
    ( spl2_700
  <=> n14 = sum(n16,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_700])]) ).

fof(f257,plain,
    n14 = sum(n16,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f4288,plain,
    spl2_699,
    inference(avatar_split_clause,[],[f255,f4286]) ).

fof(f4286,plain,
    ( spl2_699
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_699])]) ).

fof(f255,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4284,plain,
    spl2_698,
    inference(avatar_split_clause,[],[f254,f4282]) ).

fof(f4282,plain,
    ( spl2_698
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_698])]) ).

fof(f254,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4280,plain,
    spl2_697,
    inference(avatar_split_clause,[],[f253,f4278]) ).

fof(f4278,plain,
    ( spl2_697
  <=> n2 = sum(n14,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_697])]) ).

fof(f253,plain,
    n2 = sum(n14,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4276,plain,
    spl2_696,
    inference(avatar_split_clause,[],[f252,f4274]) ).

fof(f4274,plain,
    ( spl2_696
  <=> n25 = sum(n1,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_696])]) ).

fof(f252,plain,
    n25 = sum(n1,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f4272,plain,
    spl2_695,
    inference(avatar_split_clause,[],[f251,f4270]) ).

fof(f4270,plain,
    ( spl2_695
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_695])]) ).

fof(f251,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f4268,plain,
    spl2_694,
    inference(avatar_split_clause,[],[f250,f4266]) ).

fof(f4266,plain,
    ( spl2_694
  <=> n21 = sum(n19,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_694])]) ).

fof(f250,plain,
    n21 = sum(n19,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4264,plain,
    spl2_693,
    inference(avatar_split_clause,[],[f248,f4262]) ).

fof(f4262,plain,
    ( spl2_693
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_693])]) ).

fof(f248,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4260,plain,
    spl2_692,
    inference(avatar_split_clause,[],[f246,f4258]) ).

fof(f4258,plain,
    ( spl2_692
  <=> n24 = sum(n20,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_692])]) ).

fof(f246,plain,
    n24 = sum(n20,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4256,plain,
    spl2_691,
    inference(avatar_split_clause,[],[f245,f4254]) ).

fof(f4254,plain,
    ( spl2_691
  <=> n26 = sum(n19,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_691])]) ).

fof(f245,plain,
    n26 = sum(n19,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f4252,plain,
    spl2_690,
    inference(avatar_split_clause,[],[f243,f4250]) ).

fof(f4250,plain,
    ( spl2_690
  <=> n5 = sum(n22,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_690])]) ).

fof(f243,plain,
    n5 = sum(n22,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4248,plain,
    spl2_689,
    inference(avatar_split_clause,[],[f242,f4246]) ).

fof(f4246,plain,
    ( spl2_689
  <=> n9 = sum(n21,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_689])]) ).

fof(f242,plain,
    n9 = sum(n21,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4244,plain,
    spl2_688,
    inference(avatar_split_clause,[],[f241,f4242]) ).

fof(f4242,plain,
    ( spl2_688
  <=> n13 = sum(n23,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_688])]) ).

fof(f241,plain,
    n13 = sum(n23,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4240,plain,
    spl2_687,
    inference(avatar_split_clause,[],[f240,f4238]) ).

fof(f4238,plain,
    ( spl2_687
  <=> n25 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_687])]) ).

fof(f240,plain,
    n25 = sum(n11,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4236,plain,
    spl2_686,
    inference(avatar_split_clause,[],[f239,f4234]) ).

fof(f4234,plain,
    ( spl2_686
  <=> n21 = sum(n29,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_686])]) ).

fof(f239,plain,
    n21 = sum(n29,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f4232,plain,
    spl2_685,
    inference(avatar_split_clause,[],[f237,f4230]) ).

fof(f4230,plain,
    ( spl2_685
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_685])]) ).

fof(f237,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4228,plain,
    spl2_684,
    inference(avatar_split_clause,[],[f236,f4226]) ).

fof(f4226,plain,
    ( spl2_684
  <=> n29 = sum(n4,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_684])]) ).

fof(f236,plain,
    n29 = sum(n4,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4224,plain,
    spl2_683,
    inference(avatar_split_clause,[],[f235,f4222]) ).

fof(f4222,plain,
    ( spl2_683
  <=> n9 = sum(n13,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_683])]) ).

fof(f235,plain,
    n9 = sum(n13,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4220,plain,
    spl2_682,
    inference(avatar_split_clause,[],[f234,f4218]) ).

fof(f4218,plain,
    ( spl2_682
  <=> n25 = sum(n4,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_682])]) ).

fof(f234,plain,
    n25 = sum(n4,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4216,plain,
    spl2_681,
    inference(avatar_split_clause,[],[f232,f4214]) ).

fof(f4214,plain,
    ( spl2_681
  <=> n30 = sum(n22,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_681])]) ).

fof(f232,plain,
    n30 = sum(n22,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4212,plain,
    spl2_680,
    inference(avatar_split_clause,[],[f231,f4210]) ).

fof(f4210,plain,
    ( spl2_680
  <=> n20 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_680])]) ).

fof(f231,plain,
    n20 = sum(n6,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4208,plain,
    spl2_679,
    inference(avatar_split_clause,[],[f229,f4206]) ).

fof(f4206,plain,
    ( spl2_679
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_679])]) ).

fof(f229,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4204,plain,
    spl2_678,
    inference(avatar_split_clause,[],[f226,f4202]) ).

fof(f4202,plain,
    ( spl2_678
  <=> n25 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_678])]) ).

fof(f226,plain,
    n25 = sum(n13,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f4200,plain,
    spl2_677,
    inference(avatar_split_clause,[],[f225,f4198]) ).

fof(f4198,plain,
    ( spl2_677
  <=> n17 = sum(n28,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_677])]) ).

fof(f225,plain,
    n17 = sum(n28,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4196,plain,
    spl2_676,
    inference(avatar_split_clause,[],[f224,f4194]) ).

fof(f4194,plain,
    ( spl2_676
  <=> n18 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_676])]) ).

fof(f224,plain,
    n18 = sum(n7,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f4192,plain,
    spl2_675,
    inference(avatar_split_clause,[],[f218,f4190]) ).

fof(f4190,plain,
    ( spl2_675
  <=> n2 = sum(n7,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_675])]) ).

fof(f218,plain,
    n2 = sum(n7,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4188,plain,
    spl2_674,
    inference(avatar_split_clause,[],[f217,f4186]) ).

fof(f4186,plain,
    ( spl2_674
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_674])]) ).

fof(f217,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f4184,plain,
    spl2_673,
    inference(avatar_split_clause,[],[f216,f4182]) ).

fof(f4182,plain,
    ( spl2_673
  <=> n8 = sum(n11,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_673])]) ).

fof(f216,plain,
    n8 = sum(n11,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4180,plain,
    spl2_672,
    inference(avatar_split_clause,[],[f214,f4178]) ).

fof(f4178,plain,
    ( spl2_672
  <=> n2 = sum(n27,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_672])]) ).

fof(f214,plain,
    n2 = sum(n27,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f4176,plain,
    spl2_671,
    inference(avatar_split_clause,[],[f212,f4174]) ).

fof(f4174,plain,
    ( spl2_671
  <=> n2 = sum(n15,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_671])]) ).

fof(f212,plain,
    n2 = sum(n15,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f4172,plain,
    spl2_670,
    inference(avatar_split_clause,[],[f211,f4170]) ).

fof(f4170,plain,
    ( spl2_670
  <=> n22 = sum(n1,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_670])]) ).

fof(f211,plain,
    n22 = sum(n1,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4168,plain,
    spl2_669,
    inference(avatar_split_clause,[],[f210,f4166]) ).

fof(f4166,plain,
    ( spl2_669
  <=> n26 = sum(n2,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_669])]) ).

fof(f210,plain,
    n26 = sum(n2,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f4164,plain,
    spl2_668,
    inference(avatar_split_clause,[],[f209,f4162]) ).

fof(f4162,plain,
    ( spl2_668
  <=> n21 = sum(n30,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_668])]) ).

fof(f209,plain,
    n21 = sum(n30,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4160,plain,
    spl2_667,
    inference(avatar_split_clause,[],[f208,f4158]) ).

fof(f4158,plain,
    ( spl2_667
  <=> n1 = sum(n24,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_667])]) ).

fof(f208,plain,
    n1 = sum(n24,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4156,plain,
    spl2_666,
    inference(avatar_split_clause,[],[f207,f4154]) ).

fof(f4154,plain,
    ( spl2_666
  <=> n10 = sum(n28,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_666])]) ).

fof(f207,plain,
    n10 = sum(n28,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4152,plain,
    spl2_665,
    inference(avatar_split_clause,[],[f205,f4150]) ).

fof(f4150,plain,
    ( spl2_665
  <=> n26 = sum(n9,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_665])]) ).

fof(f205,plain,
    n26 = sum(n9,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4148,plain,
    spl2_664,
    inference(avatar_split_clause,[],[f203,f4146]) ).

fof(f4146,plain,
    ( spl2_664
  <=> n7 = sum(n23,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_664])]) ).

fof(f203,plain,
    n7 = sum(n23,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4144,plain,
    spl2_663,
    inference(avatar_split_clause,[],[f202,f4142]) ).

fof(f4142,plain,
    ( spl2_663
  <=> n27 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_663])]) ).

fof(f202,plain,
    n27 = sum(n14,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4140,plain,
    spl2_662,
    inference(avatar_split_clause,[],[f201,f4138]) ).

fof(f4138,plain,
    ( spl2_662
  <=> n29 = sum(n7,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_662])]) ).

fof(f201,plain,
    n29 = sum(n7,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4136,plain,
    spl2_661,
    inference(avatar_split_clause,[],[f200,f4134]) ).

fof(f4134,plain,
    ( spl2_661
  <=> n2 = sum(n19,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_661])]) ).

fof(f200,plain,
    n2 = sum(n19,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f4132,plain,
    spl2_660,
    inference(avatar_split_clause,[],[f198,f4130]) ).

fof(f4130,plain,
    ( spl2_660
  <=> n23 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_660])]) ).

fof(f198,plain,
    n23 = sum(n10,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4128,plain,
    spl2_659,
    inference(avatar_split_clause,[],[f193,f4126]) ).

fof(f4126,plain,
    ( spl2_659
  <=> n5 = sum(n14,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_659])]) ).

fof(f193,plain,
    n5 = sum(n14,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4124,plain,
    spl2_658,
    inference(avatar_split_clause,[],[f192,f4122]) ).

fof(f4122,plain,
    ( spl2_658
  <=> n1 = sum(n6,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_658])]) ).

fof(f192,plain,
    n1 = sum(n6,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f4120,plain,
    spl2_657,
    inference(avatar_split_clause,[],[f191,f4118]) ).

fof(f4118,plain,
    ( spl2_657
  <=> n29 = sum(n13,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_657])]) ).

fof(f191,plain,
    n29 = sum(n13,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f4116,plain,
    spl2_656,
    inference(avatar_split_clause,[],[f190,f4114]) ).

fof(f4114,plain,
    ( spl2_656
  <=> n7 = sum(n18,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_656])]) ).

fof(f190,plain,
    n7 = sum(n18,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4112,plain,
    spl2_655,
    inference(avatar_split_clause,[],[f188,f4110]) ).

fof(f4110,plain,
    ( spl2_655
  <=> n6 = sum(n29,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_655])]) ).

fof(f188,plain,
    n6 = sum(n29,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4108,plain,
    spl2_654,
    inference(avatar_split_clause,[],[f187,f4106]) ).

fof(f4106,plain,
    ( spl2_654
  <=> n2 = sum(n6,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_654])]) ).

fof(f187,plain,
    n2 = sum(n6,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f4104,plain,
    spl2_653,
    inference(avatar_split_clause,[],[f185,f4102]) ).

fof(f4102,plain,
    ( spl2_653
  <=> n18 = sum(n21,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_653])]) ).

fof(f185,plain,
    n18 = sum(n21,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f4100,plain,
    spl2_652,
    inference(avatar_split_clause,[],[f183,f4098]) ).

fof(f4098,plain,
    ( spl2_652
  <=> n24 = sum(n21,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_652])]) ).

fof(f183,plain,
    n24 = sum(n21,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4096,plain,
    spl2_651,
    inference(avatar_split_clause,[],[f182,f4094]) ).

fof(f4094,plain,
    ( spl2_651
  <=> n26 = sum(n6,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_651])]) ).

fof(f182,plain,
    n26 = sum(n6,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f4092,plain,
    spl2_650,
    inference(avatar_split_clause,[],[f180,f4090]) ).

fof(f4090,plain,
    ( spl2_650
  <=> n21 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_650])]) ).

fof(f180,plain,
    n21 = sum(n8,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4088,plain,
    spl2_649,
    inference(avatar_split_clause,[],[f179,f4086]) ).

fof(f4086,plain,
    ( spl2_649
  <=> n0 = sum(n10,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_649])]) ).

fof(f179,plain,
    n0 = sum(n10,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4084,plain,
    spl2_648,
    inference(avatar_split_clause,[],[f178,f4082]) ).

fof(f4082,plain,
    ( spl2_648
  <=> n17 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_648])]) ).

fof(f178,plain,
    n17 = sum(n9,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f4080,plain,
    spl2_647,
    inference(avatar_split_clause,[],[f177,f4078]) ).

fof(f4078,plain,
    ( spl2_647
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_647])]) ).

fof(f177,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4076,plain,
    spl2_646,
    inference(avatar_split_clause,[],[f175,f4074]) ).

fof(f4074,plain,
    ( spl2_646
  <=> n4 = sum(n22,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_646])]) ).

fof(f175,plain,
    n4 = sum(n22,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4072,plain,
    spl2_645,
    inference(avatar_split_clause,[],[f172,f4070]) ).

fof(f4070,plain,
    ( spl2_645
  <=> n18 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_645])]) ).

fof(f172,plain,
    n18 = sum(n14,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f4068,plain,
    spl2_644,
    inference(avatar_split_clause,[],[f171,f4066]) ).

fof(f4066,plain,
    ( spl2_644
  <=> n12 = sum(n24,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_644])]) ).

fof(f171,plain,
    n12 = sum(n24,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4064,plain,
    spl2_643,
    inference(avatar_split_clause,[],[f170,f4062]) ).

fof(f4062,plain,
    ( spl2_643
  <=> n30 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_643])]) ).

fof(f170,plain,
    n30 = sum(n15,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4060,plain,
    spl2_642,
    inference(avatar_split_clause,[],[f168,f4058]) ).

fof(f4058,plain,
    ( spl2_642
  <=> n11 = sum(n17,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_642])]) ).

fof(f168,plain,
    n11 = sum(n17,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4056,plain,
    spl2_641,
    inference(avatar_split_clause,[],[f167,f4054]) ).

fof(f4054,plain,
    ( spl2_641
  <=> n16 = sum(n30,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_641])]) ).

fof(f167,plain,
    n16 = sum(n30,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4052,plain,
    spl2_640,
    inference(avatar_split_clause,[],[f165,f4050]) ).

fof(f4050,plain,
    ( spl2_640
  <=> n4 = sum(n14,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_640])]) ).

fof(f165,plain,
    n4 = sum(n14,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f4048,plain,
    spl2_639,
    inference(avatar_split_clause,[],[f164,f4046]) ).

fof(f4046,plain,
    ( spl2_639
  <=> n19 = sum(n16,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_639])]) ).

fof(f164,plain,
    n19 = sum(n16,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f4044,plain,
    spl2_638,
    inference(avatar_split_clause,[],[f163,f4042]) ).

fof(f4042,plain,
    ( spl2_638
  <=> n27 = sum(n5,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_638])]) ).

fof(f163,plain,
    n27 = sum(n5,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f4040,plain,
    spl2_637,
    inference(avatar_split_clause,[],[f162,f4038]) ).

fof(f4038,plain,
    ( spl2_637
  <=> n25 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_637])]) ).

fof(f162,plain,
    n25 = sum(n10,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f4036,plain,
    spl2_636,
    inference(avatar_split_clause,[],[f161,f4034]) ).

fof(f4034,plain,
    ( spl2_636
  <=> n10 = sum(n25,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_636])]) ).

fof(f161,plain,
    n10 = sum(n25,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f4032,plain,
    spl2_635,
    inference(avatar_split_clause,[],[f158,f4030]) ).

fof(f4030,plain,
    ( spl2_635
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_635])]) ).

fof(f158,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4028,plain,
    spl2_634,
    inference(avatar_split_clause,[],[f157,f4026]) ).

fof(f4026,plain,
    ( spl2_634
  <=> n14 = sum(n20,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_634])]) ).

fof(f157,plain,
    n14 = sum(n20,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4024,plain,
    spl2_633,
    inference(avatar_split_clause,[],[f154,f4022]) ).

fof(f4022,plain,
    ( spl2_633
  <=> n27 = sum(n22,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_633])]) ).

fof(f154,plain,
    n27 = sum(n22,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f4020,plain,
    spl2_632,
    inference(avatar_split_clause,[],[f153,f4018]) ).

fof(f4018,plain,
    ( spl2_632
  <=> n0 = sum(n12,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_632])]) ).

fof(f153,plain,
    n0 = sum(n12,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f4016,plain,
    spl2_631,
    inference(avatar_split_clause,[],[f152,f4014]) ).

fof(f4014,plain,
    ( spl2_631
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_631])]) ).

fof(f152,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f4012,plain,
    spl2_630,
    inference(avatar_split_clause,[],[f151,f4010]) ).

fof(f4010,plain,
    ( spl2_630
  <=> n17 = sum(n0,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_630])]) ).

fof(f151,plain,
    n17 = sum(n0,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f4008,plain,
    spl2_629,
    inference(avatar_split_clause,[],[f150,f4006]) ).

fof(f4006,plain,
    ( spl2_629
  <=> n18 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_629])]) ).

fof(f150,plain,
    n18 = sum(n5,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f4004,plain,
    spl2_628,
    inference(avatar_split_clause,[],[f149,f4002]) ).

fof(f4002,plain,
    ( spl2_628
  <=> n24 = sum(n30,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_628])]) ).

fof(f149,plain,
    n24 = sum(n30,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f4000,plain,
    spl2_627,
    inference(avatar_split_clause,[],[f147,f3998]) ).

fof(f3998,plain,
    ( spl2_627
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_627])]) ).

fof(f147,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f3996,plain,
    spl2_626,
    inference(avatar_split_clause,[],[f145,f3994]) ).

fof(f3994,plain,
    ( spl2_626
  <=> n0 = sum(n13,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_626])]) ).

fof(f145,plain,
    n0 = sum(n13,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3992,plain,
    spl2_625,
    inference(avatar_split_clause,[],[f144,f3990]) ).

fof(f3990,plain,
    ( spl2_625
  <=> n26 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_625])]) ).

fof(f144,plain,
    n26 = sum(n11,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f3988,plain,
    spl2_624,
    inference(avatar_split_clause,[],[f140,f3986]) ).

fof(f3986,plain,
    ( spl2_624
  <=> n6 = sum(n19,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_624])]) ).

fof(f140,plain,
    n6 = sum(n19,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3984,plain,
    spl2_623,
    inference(avatar_split_clause,[],[f138,f3982]) ).

fof(f3982,plain,
    ( spl2_623
  <=> n3 = sum(n24,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_623])]) ).

fof(f138,plain,
    n3 = sum(n24,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f3980,plain,
    spl2_622,
    inference(avatar_split_clause,[],[f137,f3978]) ).

fof(f3978,plain,
    ( spl2_622
  <=> n14 = sum(n19,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_622])]) ).

fof(f137,plain,
    n14 = sum(n19,n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f3976,plain,
    spl2_621,
    inference(avatar_split_clause,[],[f134,f3974]) ).

fof(f3974,plain,
    ( spl2_621
  <=> n22 = sum(n4,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_621])]) ).

fof(f134,plain,
    n22 = sum(n4,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3972,plain,
    spl2_620,
    inference(avatar_split_clause,[],[f133,f3970]) ).

fof(f3970,plain,
    ( spl2_620
  <=> n4 = sum(n6,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_620])]) ).

fof(f133,plain,
    n4 = sum(n6,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f3968,plain,
    spl2_619,
    inference(avatar_split_clause,[],[f132,f3966]) ).

fof(f3966,plain,
    ( spl2_619
  <=> n7 = sum(n17,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_619])]) ).

fof(f132,plain,
    n7 = sum(n17,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f3964,plain,
    spl2_618,
    inference(avatar_split_clause,[],[f131,f3962]) ).

fof(f3962,plain,
    ( spl2_618
  <=> n24 = sum(n6,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_618])]) ).

fof(f131,plain,
    n24 = sum(n6,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3960,plain,
    spl2_617,
    inference(avatar_split_clause,[],[f130,f3958]) ).

fof(f3958,plain,
    ( spl2_617
  <=> n26 = sum(n8,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_617])]) ).

fof(f130,plain,
    n26 = sum(n8,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3956,plain,
    spl2_616,
    inference(avatar_split_clause,[],[f127,f3954]) ).

fof(f3954,plain,
    ( spl2_616
  <=> n27 = sum(n4,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_616])]) ).

fof(f127,plain,
    n27 = sum(n4,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f3952,plain,
    spl2_615,
    inference(avatar_split_clause,[],[f126,f3950]) ).

fof(f3950,plain,
    ( spl2_615
  <=> n15 = sum(n22,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_615])]) ).

fof(f126,plain,
    n15 = sum(n22,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3948,plain,
    spl2_614,
    inference(avatar_split_clause,[],[f125,f3946]) ).

fof(f3946,plain,
    ( spl2_614
  <=> n2 = sum(n28,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_614])]) ).

fof(f125,plain,
    n2 = sum(n28,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f3944,plain,
    spl2_613,
    inference(avatar_split_clause,[],[f123,f3942]) ).

fof(f3942,plain,
    ( spl2_613
  <=> n0 = sum(n21,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_613])]) ).

fof(f123,plain,
    n0 = sum(n21,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f3940,plain,
    spl2_612,
    inference(avatar_split_clause,[],[f122,f3938]) ).

fof(f3938,plain,
    ( spl2_612
  <=> n6 = sum(n25,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_612])]) ).

fof(f122,plain,
    n6 = sum(n25,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f3936,plain,
    spl2_611,
    inference(avatar_split_clause,[],[f121,f3934]) ).

fof(f3934,plain,
    ( spl2_611
  <=> n8 = sum(n12,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_611])]) ).

fof(f121,plain,
    n8 = sum(n12,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3932,plain,
    spl2_610,
    inference(avatar_split_clause,[],[f120,f3930]) ).

fof(f3930,plain,
    ( spl2_610
  <=> n24 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_610])]) ).

fof(f120,plain,
    n24 = sum(n10,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f3928,plain,
    spl2_609,
    inference(avatar_split_clause,[],[f119,f3926]) ).

fof(f3926,plain,
    ( spl2_609
  <=> n14 = sum(n23,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_609])]) ).

fof(f119,plain,
    n14 = sum(n23,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f3924,plain,
    spl2_608,
    inference(avatar_split_clause,[],[f118,f3922]) ).

fof(f3922,plain,
    ( spl2_608
  <=> n13 = sum(n20,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_608])]) ).

fof(f118,plain,
    n13 = sum(n20,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3920,plain,
    spl2_607,
    inference(avatar_split_clause,[],[f117,f3918]) ).

fof(f3918,plain,
    ( spl2_607
  <=> n8 = sum(n28,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_607])]) ).

fof(f117,plain,
    n8 = sum(n28,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3916,plain,
    spl2_606,
    inference(avatar_split_clause,[],[f116,f3914]) ).

fof(f3914,plain,
    ( spl2_606
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_606])]) ).

fof(f116,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f3912,plain,
    spl2_605,
    inference(avatar_split_clause,[],[f115,f3910]) ).

fof(f3910,plain,
    ( spl2_605
  <=> n6 = sum(n16,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_605])]) ).

fof(f115,plain,
    n6 = sum(n16,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f3908,plain,
    spl2_604,
    inference(avatar_split_clause,[],[f114,f3906]) ).

fof(f3906,plain,
    ( spl2_604
  <=> n18 = sum(n2,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_604])]) ).

fof(f114,plain,
    n18 = sum(n2,n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f3904,plain,
    spl2_603,
    inference(avatar_split_clause,[],[f113,f3902]) ).

fof(f3902,plain,
    ( spl2_603
  <=> n27 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_603])]) ).

fof(f113,plain,
    n27 = sum(n15,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f3900,plain,
    spl2_602,
    inference(avatar_split_clause,[],[f111,f3898]) ).

fof(f3898,plain,
    ( spl2_602
  <=> n30 = sum(n3,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_602])]) ).

fof(f111,plain,
    n30 = sum(n3,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3896,plain,
    spl2_601,
    inference(avatar_split_clause,[],[f109,f3894]) ).

fof(f3894,plain,
    ( spl2_601
  <=> n6 = sum(n15,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_601])]) ).

fof(f109,plain,
    n6 = sum(n15,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f3892,plain,
    spl2_600,
    inference(avatar_split_clause,[],[f107,f3890]) ).

fof(f3890,plain,
    ( spl2_600
  <=> n16 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_600])]) ).

fof(f107,plain,
    n16 = sum(n13,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f3888,plain,
    spl2_599,
    inference(avatar_split_clause,[],[f104,f3886]) ).

fof(f3886,plain,
    ( spl2_599
  <=> n30 = sum(n6,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_599])]) ).

fof(f104,plain,
    n30 = sum(n6,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3884,plain,
    spl2_598,
    inference(avatar_split_clause,[],[f103,f3882]) ).

fof(f3882,plain,
    ( spl2_598
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_598])]) ).

fof(f103,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f3880,plain,
    spl2_597,
    inference(avatar_split_clause,[],[f102,f3878]) ).

fof(f3878,plain,
    ( spl2_597
  <=> n4 = sum(n7,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_597])]) ).

fof(f102,plain,
    n4 = sum(n7,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f3876,plain,
    spl2_596,
    inference(avatar_split_clause,[],[f99,f3874]) ).

fof(f3874,plain,
    ( spl2_596
  <=> n18 = sum(n16,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_596])]) ).

fof(f99,plain,
    n18 = sum(n16,n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f3872,plain,
    spl2_595,
    inference(avatar_split_clause,[],[f98,f3870]) ).

fof(f3870,plain,
    ( spl2_595
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_595])]) ).

fof(f98,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f3868,plain,
    spl2_594,
    inference(avatar_split_clause,[],[f96,f3866]) ).

fof(f3866,plain,
    ( spl2_594
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_594])]) ).

fof(f96,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f3864,plain,
    spl2_593,
    inference(avatar_split_clause,[],[f95,f3862]) ).

fof(f3862,plain,
    ( spl2_593
  <=> n3 = sum(n10,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_593])]) ).

fof(f95,plain,
    n3 = sum(n10,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3860,plain,
    spl2_592,
    inference(avatar_split_clause,[],[f93,f3858]) ).

fof(f3858,plain,
    ( spl2_592
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_592])]) ).

fof(f93,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f3856,plain,
    spl2_591,
    inference(avatar_split_clause,[],[f92,f3854]) ).

fof(f3854,plain,
    ( spl2_591
  <=> n20 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_591])]) ).

fof(f92,plain,
    n20 = sum(n7,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f3852,plain,
    spl2_590,
    inference(avatar_split_clause,[],[f91,f3850]) ).

fof(f3850,plain,
    ( spl2_590
  <=> n2 = sum(n29,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_590])]) ).

fof(f91,plain,
    n2 = sum(n29,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f3848,plain,
    spl2_589,
    inference(avatar_split_clause,[],[f90,f3846]) ).

fof(f3846,plain,
    ( spl2_589
  <=> n28 = sum(n19,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_589])]) ).

fof(f90,plain,
    n28 = sum(n19,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f3844,plain,
    spl2_588,
    inference(avatar_split_clause,[],[f88,f3842]) ).

fof(f3842,plain,
    ( spl2_588
  <=> n18 = sum(n24,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_588])]) ).

fof(f88,plain,
    n18 = sum(n24,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f3840,plain,
    spl2_587,
    inference(avatar_split_clause,[],[f86,f3838]) ).

fof(f3838,plain,
    ( spl2_587
  <=> n26 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_587])]) ).

fof(f86,plain,
    n26 = sum(n12,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f3836,plain,
    spl2_586,
    inference(avatar_split_clause,[],[f85,f3834]) ).

fof(f3834,plain,
    ( spl2_586
  <=> n22 = sum(n3,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_586])]) ).

fof(f85,plain,
    n22 = sum(n3,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f3832,plain,
    spl2_585,
    inference(avatar_split_clause,[],[f83,f3830]) ).

fof(f3830,plain,
    ( spl2_585
  <=> n15 = sum(n27,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_585])]) ).

fof(f83,plain,
    n15 = sum(n27,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f3828,plain,
    spl2_584,
    inference(avatar_split_clause,[],[f80,f3826]) ).

fof(f3826,plain,
    ( spl2_584
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_584])]) ).

fof(f80,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f3824,plain,
    spl2_583,
    inference(avatar_split_clause,[],[f79,f3822]) ).

fof(f3822,plain,
    ( spl2_583
  <=> n28 = sum(n4,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_583])]) ).

fof(f79,plain,
    n28 = sum(n4,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3820,plain,
    spl2_582,
    inference(avatar_split_clause,[],[f78,f3818]) ).

fof(f3818,plain,
    ( spl2_582
  <=> n16 = sum(n22,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_582])]) ).

fof(f78,plain,
    n16 = sum(n22,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f3816,plain,
    spl2_581,
    inference(avatar_split_clause,[],[f77,f3814]) ).

fof(f3814,plain,
    ( spl2_581
  <=> n4 = sum(n5,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_581])]) ).

fof(f77,plain,
    n4 = sum(n5,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f3812,plain,
    spl2_580,
    inference(avatar_split_clause,[],[f76,f3810]) ).

fof(f3810,plain,
    ( spl2_580
  <=> n27 = sum(n6,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_580])]) ).

fof(f76,plain,
    n27 = sum(n6,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f3808,plain,
    spl2_579,
    inference(avatar_split_clause,[],[f74,f3806]) ).

fof(f3806,plain,
    ( spl2_579
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_579])]) ).

fof(f74,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f3804,plain,
    spl2_578,
    inference(avatar_split_clause,[],[f73,f3802]) ).

fof(f3802,plain,
    ( spl2_578
  <=> n3 = sum(n13,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_578])]) ).

fof(f73,plain,
    n3 = sum(n13,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f3800,plain,
    spl2_577,
    inference(avatar_split_clause,[],[f72,f3798]) ).

fof(f3798,plain,
    ( spl2_577
  <=> n20 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_577])]) ).

fof(f72,plain,
    n20 = sum(n13,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f3796,plain,
    spl2_576,
    inference(avatar_split_clause,[],[f71,f3794]) ).

fof(f3794,plain,
    ( spl2_576
  <=> n22 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_576])]) ).

fof(f71,plain,
    n22 = sum(n12,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f3792,plain,
    spl2_575,
    inference(avatar_split_clause,[],[f70,f3790]) ).

fof(f3790,plain,
    ( spl2_575
  <=> n0 = sum(n19,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_575])]) ).

fof(f70,plain,
    n0 = sum(n19,n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f3788,plain,
    spl2_574,
    inference(avatar_split_clause,[],[f69,f3786]) ).

fof(f3786,plain,
    ( spl2_574
  <=> n4 = sum(n11,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_574])]) ).

fof(f69,plain,
    n4 = sum(n11,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3784,plain,
    spl2_573,
    inference(avatar_split_clause,[],[f67,f3782]) ).

fof(f3782,plain,
    ( spl2_573
  <=> n21 = sum(n22,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_573])]) ).

fof(f67,plain,
    n21 = sum(n22,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f3780,plain,
    spl2_572,
    inference(avatar_split_clause,[],[f66,f3778]) ).

fof(f3778,plain,
    ( spl2_572
  <=> n21 = sum(n3,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_572])]) ).

fof(f66,plain,
    n21 = sum(n3,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3776,plain,
    spl2_571,
    inference(avatar_split_clause,[],[f64,f3774]) ).

fof(f3774,plain,
    ( spl2_571
  <=> n18 = sum(n28,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_571])]) ).

fof(f64,plain,
    n18 = sum(n28,n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f3772,plain,
    spl2_570,
    inference(avatar_split_clause,[],[f60,f3770]) ).

fof(f3770,plain,
    ( spl2_570
  <=> n28 = sum(n1,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_570])]) ).

fof(f60,plain,
    n28 = sum(n1,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3768,plain,
    spl2_569,
    inference(avatar_split_clause,[],[f59,f3766]) ).

fof(f3766,plain,
    ( spl2_569
  <=> n7 = sum(n25,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_569])]) ).

fof(f59,plain,
    n7 = sum(n25,n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f3764,plain,
    spl2_568,
    inference(avatar_split_clause,[],[f58,f3762]) ).

fof(f3762,plain,
    ( spl2_568
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_568])]) ).

fof(f58,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3760,plain,
    spl2_567,
    inference(avatar_split_clause,[],[f57,f3758]) ).

fof(f3758,plain,
    ( spl2_567
  <=> n13 = sum(n19,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_567])]) ).

fof(f57,plain,
    n13 = sum(n19,n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f3756,plain,
    spl2_566,
    inference(avatar_split_clause,[],[f56,f3754]) ).

fof(f3754,plain,
    ( spl2_566
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_566])]) ).

fof(f56,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f3752,plain,
    spl2_565,
    inference(avatar_split_clause,[],[f54,f3750]) ).

fof(f3750,plain,
    ( spl2_565
  <=> n0 = sum(n30,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_565])]) ).

fof(f54,plain,
    n0 = sum(n30,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f3748,plain,
    spl2_564,
    inference(avatar_split_clause,[],[f53,f3746]) ).

fof(f3746,plain,
    ( spl2_564
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_564])]) ).

fof(f53,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f3744,plain,
    spl2_563,
    inference(avatar_split_clause,[],[f52,f3742]) ).

fof(f3742,plain,
    ( spl2_563
  <=> n1 = sum(n4,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_563])]) ).

fof(f52,plain,
    n1 = sum(n4,n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f3740,plain,
    spl2_562,
    inference(avatar_split_clause,[],[f51,f3738]) ).

fof(f3738,plain,
    ( spl2_562
  <=> n3 = sum(n7,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_562])]) ).

fof(f51,plain,
    n3 = sum(n7,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3736,plain,
    spl2_561,
    inference(avatar_split_clause,[],[f49,f3734]) ).

fof(f3734,plain,
    ( spl2_561
  <=> n27 = sum(n18,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_561])]) ).

fof(f49,plain,
    n27 = sum(n18,n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f3732,plain,
    spl2_560,
    inference(avatar_split_clause,[],[f48,f3730]) ).

fof(f3730,plain,
    ( spl2_560
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_560])]) ).

fof(f48,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f3728,plain,
    spl2_559,
    inference(avatar_split_clause,[],[f46,f3726]) ).

fof(f3726,plain,
    ( spl2_559
  <=> n3 = sum(n23,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_559])]) ).

fof(f46,plain,
    n3 = sum(n23,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3724,plain,
    spl2_558,
    inference(avatar_split_clause,[],[f44,f3722]) ).

fof(f3722,plain,
    ( spl2_558
  <=> n0 = sum(n9,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_558])]) ).

fof(f44,plain,
    n0 = sum(n9,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f3720,plain,
    spl2_557,
    inference(avatar_split_clause,[],[f43,f3718]) ).

fof(f3718,plain,
    ( spl2_557
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_557])]) ).

fof(f43,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f3716,plain,
    spl2_556,
    inference(avatar_split_clause,[],[f42,f3714]) ).

fof(f3714,plain,
    ( spl2_556
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_556])]) ).

fof(f42,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f3712,plain,
    spl2_555,
    inference(avatar_split_clause,[],[f40,f3710]) ).

fof(f3710,plain,
    ( spl2_555
  <=> n20 = sum(n20,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_555])]) ).

fof(f40,plain,
    n20 = sum(n20,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f3708,plain,
    spl2_554,
    inference(avatar_split_clause,[],[f39,f3706]) ).

fof(f3706,plain,
    ( spl2_554
  <=> n25 = sum(n3,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_554])]) ).

fof(f39,plain,
    n25 = sum(n3,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f3704,plain,
    spl2_553,
    inference(avatar_split_clause,[],[f38,f3702]) ).

fof(f3702,plain,
    ( spl2_553
  <=> n28 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_553])]) ).

fof(f38,plain,
    n28 = sum(n13,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f3700,plain,
    spl2_552,
    inference(avatar_split_clause,[],[f37,f3698]) ).

fof(f3698,plain,
    ( spl2_552
  <=> n13 = sum(n27,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_552])]) ).

fof(f37,plain,
    n13 = sum(n27,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f3696,plain,
    spl2_551,
    inference(avatar_split_clause,[],[f35,f3694]) ).

fof(f3694,plain,
    ( spl2_551
  <=> n22 = sum(n26,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_551])]) ).

fof(f35,plain,
    n22 = sum(n26,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3692,plain,
    spl2_550,
    inference(avatar_split_clause,[],[f34,f3690]) ).

fof(f3690,plain,
    ( spl2_550
  <=> n29 = sum(n5,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_550])]) ).

fof(f34,plain,
    n29 = sum(n5,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3688,plain,
    spl2_549,
    inference(avatar_split_clause,[],[f33,f3686]) ).

fof(f3686,plain,
    ( spl2_549
  <=> n18 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_549])]) ).

fof(f33,plain,
    n18 = sum(n13,n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f3684,plain,
    spl2_548,
    inference(avatar_split_clause,[],[f32,f3682]) ).

fof(f3682,plain,
    ( spl2_548
  <=> n8 = sum(n16,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_548])]) ).

fof(f32,plain,
    n8 = sum(n16,n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f3680,plain,
    spl2_547,
    inference(avatar_split_clause,[],[f31,f3678]) ).

fof(f3678,plain,
    ( spl2_547
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_547])]) ).

fof(f31,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f3676,plain,
    spl2_546,
    inference(avatar_split_clause,[],[f30,f3674]) ).

fof(f3674,plain,
    ( spl2_546
  <=> n16 = sum(n25,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_546])]) ).

fof(f30,plain,
    n16 = sum(n25,n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f3672,plain,
    spl2_545,
    inference(avatar_split_clause,[],[f27,f3670]) ).

fof(f3670,plain,
    ( spl2_545
  <=> n23 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_545])]) ).

fof(f27,plain,
    n23 = sum(n12,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3668,plain,
    spl2_544,
    inference(avatar_split_clause,[],[f25,f3666]) ).

fof(f3666,plain,
    ( spl2_544
  <=> n10 = sum(n11,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_544])]) ).

fof(f25,plain,
    n10 = sum(n11,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f3664,plain,
    spl2_543,
    inference(avatar_split_clause,[],[f24,f3662]) ).

fof(f3662,plain,
    ( spl2_543
  <=> n6 = sum(n20,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_543])]) ).

fof(f24,plain,
    n6 = sum(n20,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f3660,plain,
    spl2_542,
    inference(avatar_split_clause,[],[f21,f3658]) ).

fof(f3658,plain,
    ( spl2_542
  <=> n27 = sum(n0,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_542])]) ).

fof(f21,plain,
    n27 = sum(n0,n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3656,plain,
    spl2_541,
    inference(avatar_split_clause,[],[f20,f3654]) ).

fof(f3654,plain,
    ( spl2_541
  <=> n5 = sum(n18,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_541])]) ).

fof(f20,plain,
    n5 = sum(n18,n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3652,plain,
    spl2_540,
    inference(avatar_split_clause,[],[f19,f3650]) ).

fof(f3650,plain,
    ( spl2_540
  <=> n23 = sum(n19,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_540])]) ).

fof(f19,plain,
    n23 = sum(n19,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f3648,plain,
    spl2_539,
    inference(avatar_split_clause,[],[f18,f3646]) ).

fof(f3646,plain,
    ( spl2_539
  <=> n5 = sum(n26,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_539])]) ).

fof(f18,plain,
    n5 = sum(n26,n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f3644,plain,
    spl2_538,
    inference(avatar_split_clause,[],[f15,f3642]) ).

fof(f3642,plain,
    ( spl2_538
  <=> n17 = sum(n18,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_538])]) ).

fof(f15,plain,
    n17 = sum(n18,n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f3640,plain,
    spl2_537,
    inference(avatar_split_clause,[],[f14,f3638]) ).

fof(f3638,plain,
    ( spl2_537
  <=> n18 = sum(n1,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_537])]) ).

fof(f14,plain,
    n18 = sum(n1,n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f3636,plain,
    spl2_536,
    inference(avatar_split_clause,[],[f13,f3634]) ).

fof(f3634,plain,
    ( spl2_536
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_536])]) ).

fof(f13,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3632,plain,
    spl2_535,
    inference(avatar_split_clause,[],[f11,f3630]) ).

fof(f3630,plain,
    ( spl2_535
  <=> n23 = sum(n4,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_535])]) ).

fof(f11,plain,
    n23 = sum(n4,n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f3628,plain,
    spl2_534,
    inference(avatar_split_clause,[],[f10,f3626]) ).

fof(f3626,plain,
    ( spl2_534
  <=> n23 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_534])]) ).

fof(f10,plain,
    n23 = sum(n9,n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f3624,plain,
    spl2_533,
    inference(avatar_split_clause,[],[f9,f3622]) ).

fof(f3622,plain,
    ( spl2_533
  <=> n10 = sum(n21,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_533])]) ).

fof(f9,plain,
    n10 = sum(n21,n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f3620,plain,
    spl2_532,
    inference(avatar_split_clause,[],[f8,f3618]) ).

fof(f3618,plain,
    ( spl2_532
  <=> n1 = sum(n17,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_532])]) ).

fof(f8,plain,
    n1 = sum(n17,n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f3616,plain,
    spl2_531,
    inference(avatar_split_clause,[],[f7,f3614]) ).

fof(f3614,plain,
    ( spl2_531
  <=> n29 = sum(n25,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_531])]) ).

fof(f7,plain,
    n29 = sum(n25,n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f3612,plain,
    spl2_530,
    inference(avatar_split_clause,[],[f6,f3610]) ).

fof(f3610,plain,
    ( spl2_530
  <=> n29 = sum(n0,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_530])]) ).

fof(f6,plain,
    n29 = sum(n0,n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f3608,plain,
    spl2_529,
    inference(avatar_split_clause,[],[f5,f3606]) ).

fof(f3606,plain,
    ( spl2_529
  <=> n30 = sum(n19,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_529])]) ).

fof(f5,plain,
    n30 = sum(n19,n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3604,plain,
    spl2_528,
    inference(avatar_split_clause,[],[f4,f3602]) ).

fof(f3602,plain,
    ( spl2_528
  <=> n0 = sum(n7,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_528])]) ).

fof(f4,plain,
    n0 = sum(n7,n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3600,plain,
    spl2_527,
    inference(avatar_split_clause,[],[f1491,f3598]) ).

fof(f3598,plain,
    ( spl2_527
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_527])]) ).

fof(f1491,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f1]) ).

fof(f3596,plain,
    spl2_526,
    inference(avatar_split_clause,[],[f1405,f3594]) ).

fof(f3594,plain,
    ( spl2_526
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_526])]) ).

fof(f1405,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f3592,plain,
    spl2_525,
    inference(avatar_split_clause,[],[f1395,f3590]) ).

fof(f1395,plain,
    n27 = pred(n28),
    inference(cnf_transformation,[],[f1]) ).

fof(f3588,plain,
    spl2_524,
    inference(avatar_split_clause,[],[f1390,f3586]) ).

fof(f3586,plain,
    ( spl2_524
  <=> n25 = pred(n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_524])]) ).

fof(f1390,plain,
    n25 = pred(n26),
    inference(cnf_transformation,[],[f1]) ).

fof(f3584,plain,
    spl2_523,
    inference(avatar_split_clause,[],[f1368,f3582]) ).

fof(f3582,plain,
    ( spl2_523
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_523])]) ).

fof(f1368,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f1]) ).

fof(f3580,plain,
    spl2_522,
    inference(avatar_split_clause,[],[f1360,f3578]) ).

fof(f3578,plain,
    ( spl2_522
  <=> n16 = pred(n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_522])]) ).

fof(f1360,plain,
    n16 = pred(n17),
    inference(cnf_transformation,[],[f1]) ).

fof(f3576,plain,
    spl2_521,
    inference(avatar_split_clause,[],[f1339,f3574]) ).

fof(f3574,plain,
    ( spl2_521
  <=> succ(n29) = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_521])]) ).

fof(f1339,plain,
    succ(n29) = n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3572,plain,
    spl2_520,
    inference(avatar_split_clause,[],[f1324,f3570]) ).

fof(f3570,plain,
    ( spl2_520
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_520])]) ).

fof(f1324,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f1]) ).

fof(f3568,plain,
    spl2_519,
    inference(avatar_split_clause,[],[f1321,f3566]) ).

fof(f3566,plain,
    ( spl2_519
  <=> n15 = pred(n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_519])]) ).

fof(f1321,plain,
    n15 = pred(n16),
    inference(cnf_transformation,[],[f1]) ).

fof(f3564,plain,
    spl2_518,
    inference(avatar_split_clause,[],[f1300,f3562]) ).

fof(f1300,plain,
    succ(n28) = n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3560,plain,
    spl2_517,
    inference(avatar_split_clause,[],[f1272,f3558]) ).

fof(f3558,plain,
    ( spl2_517
  <=> succ(n27) = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_517])]) ).

fof(f1272,plain,
    succ(n27) = n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f3556,plain,
    spl2_516,
    inference(avatar_split_clause,[],[f1205,f3554]) ).

fof(f3554,plain,
    ( spl2_516
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_516])]) ).

fof(f1205,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f3552,plain,
    spl2_515,
    inference(avatar_split_clause,[],[f1127,f3550]) ).

fof(f3550,plain,
    ( spl2_515
  <=> succ(n18) = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_515])]) ).

fof(f1127,plain,
    succ(n18) = n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f3548,plain,
    spl2_514,
    inference(avatar_split_clause,[],[f1045,f3546]) ).

fof(f3546,plain,
    ( spl2_514
  <=> n26 = pred(n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_514])]) ).

fof(f1045,plain,
    n26 = pred(n27),
    inference(cnf_transformation,[],[f1]) ).

fof(f3544,plain,
    spl2_513,
    inference(avatar_split_clause,[],[f1043,f3542]) ).

fof(f3542,plain,
    ( spl2_513
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_513])]) ).

fof(f1043,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f1]) ).

fof(f3540,plain,
    spl2_512,
    inference(avatar_split_clause,[],[f1031,f3538]) ).

fof(f3538,plain,
    ( spl2_512
  <=> succ(n24) = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_512])]) ).

fof(f1031,plain,
    succ(n24) = n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f3536,plain,
    spl2_511,
    inference(avatar_split_clause,[],[f1013,f3534]) ).

fof(f3534,plain,
    ( spl2_511
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_511])]) ).

fof(f1013,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f1]) ).

fof(f3532,plain,
    spl2_510,
    inference(avatar_split_clause,[],[f945,f3530]) ).

fof(f3530,plain,
    ( spl2_510
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_510])]) ).

fof(f945,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f3528,plain,
    spl2_509,
    inference(avatar_split_clause,[],[f922,f3526]) ).

fof(f3526,plain,
    ( spl2_509
  <=> n24 = pred(n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_509])]) ).

fof(f922,plain,
    n24 = pred(n25),
    inference(cnf_transformation,[],[f1]) ).

fof(f3524,plain,
    spl2_508,
    inference(avatar_split_clause,[],[f900,f3522]) ).

fof(f3522,plain,
    ( spl2_508
  <=> succ(n21) = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_508])]) ).

fof(f900,plain,
    succ(n21) = n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f3520,plain,
    spl2_507,
    inference(avatar_split_clause,[],[f872,f3518]) ).

fof(f3518,plain,
    ( spl2_507
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_507])]) ).

fof(f872,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f3516,plain,
    spl2_506,
    inference(avatar_split_clause,[],[f865,f3514]) ).

fof(f3514,plain,
    ( spl2_506
  <=> n21 = pred(n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_506])]) ).

fof(f865,plain,
    n21 = pred(n22),
    inference(cnf_transformation,[],[f1]) ).

fof(f3512,plain,
    spl2_505,
    inference(avatar_split_clause,[],[f855,f3510]) ).

fof(f3510,plain,
    ( spl2_505
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_505])]) ).

fof(f855,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f1]) ).

fof(f3508,plain,
    spl2_504,
    inference(avatar_split_clause,[],[f822,f3506]) ).

fof(f3506,plain,
    ( spl2_504
  <=> succ(n17) = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_504])]) ).

fof(f822,plain,
    succ(n17) = n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f3504,plain,
    spl2_503,
    inference(avatar_split_clause,[],[f756,f3502]) ).

fof(f3502,plain,
    ( spl2_503
  <=> n30 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_503])]) ).

fof(f756,plain,
    n30 = pred(n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f3500,plain,
    spl2_502,
    inference(avatar_split_clause,[],[f749,f3498]) ).

fof(f3498,plain,
    ( spl2_502
  <=> n19 = pred(n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_502])]) ).

fof(f749,plain,
    n19 = pred(n20),
    inference(cnf_transformation,[],[f1]) ).

fof(f3496,plain,
    spl2_501,
    inference(avatar_split_clause,[],[f738,f3494]) ).

fof(f3494,plain,
    ( spl2_501
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_501])]) ).

fof(f738,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f1]) ).

fof(f3492,plain,
    spl2_500,
    inference(avatar_split_clause,[],[f643,f3490]) ).

fof(f643,plain,
    n29 = pred(n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f3488,plain,
    spl2_499,
    inference(avatar_split_clause,[],[f586,f3486]) ).

fof(f3486,plain,
    ( spl2_499
  <=> succ(n20) = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_499])]) ).

fof(f586,plain,
    succ(n20) = n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f3484,plain,
    spl2_498,
    inference(avatar_split_clause,[],[f580,f3482]) ).

fof(f580,plain,
    n0 = succ(n30),
    inference(cnf_transformation,[],[f1]) ).

fof(f3480,plain,
    spl2_497,
    inference(avatar_split_clause,[],[f566,f3478]) ).

fof(f3478,plain,
    ( spl2_497
  <=> succ(n25) = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_497])]) ).

fof(f566,plain,
    succ(n25) = n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3476,plain,
    spl2_496,
    inference(avatar_split_clause,[],[f549,f3474]) ).

fof(f3474,plain,
    ( spl2_496
  <=> succ(n22) = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_496])]) ).

fof(f549,plain,
    succ(n22) = n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3472,plain,
    spl2_495,
    inference(avatar_split_clause,[],[f541,f3470]) ).

fof(f3470,plain,
    ( spl2_495
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_495])]) ).

fof(f541,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f1]) ).

fof(f3468,plain,
    spl2_494,
    inference(avatar_split_clause,[],[f527,f3466]) ).

fof(f3466,plain,
    ( spl2_494
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_494])]) ).

fof(f527,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f3464,plain,
    spl2_493,
    inference(avatar_split_clause,[],[f511,f3462]) ).

fof(f3462,plain,
    ( spl2_493
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_493])]) ).

fof(f511,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f1]) ).

fof(f3460,plain,
    spl2_492,
    inference(avatar_split_clause,[],[f510,f3458]) ).

fof(f3458,plain,
    ( spl2_492
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_492])]) ).

fof(f510,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f1]) ).

fof(f3456,plain,
    spl2_491,
    inference(avatar_split_clause,[],[f506,f3454]) ).

fof(f3454,plain,
    ( spl2_491
  <=> n23 = pred(n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_491])]) ).

fof(f506,plain,
    n23 = pred(n24),
    inference(cnf_transformation,[],[f1]) ).

fof(f3452,plain,
    spl2_490,
    inference(avatar_split_clause,[],[f500,f3450]) ).

fof(f3450,plain,
    ( spl2_490
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_490])]) ).

fof(f500,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f1]) ).

fof(f3448,plain,
    spl2_489,
    inference(avatar_split_clause,[],[f491,f3446]) ).

fof(f3446,plain,
    ( spl2_489
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_489])]) ).

fof(f491,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f1]) ).

fof(f3444,plain,
    spl2_488,
    inference(avatar_split_clause,[],[f479,f3442]) ).

fof(f3442,plain,
    ( spl2_488
  <=> n22 = pred(n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_488])]) ).

fof(f479,plain,
    n22 = pred(n23),
    inference(cnf_transformation,[],[f1]) ).

fof(f3440,plain,
    spl2_487,
    inference(avatar_split_clause,[],[f469,f3438]) ).

fof(f3438,plain,
    ( spl2_487
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_487])]) ).

fof(f469,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f3436,plain,
    spl2_486,
    inference(avatar_split_clause,[],[f431,f3434]) ).

fof(f3434,plain,
    ( spl2_486
  <=> n18 = pred(n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_486])]) ).

fof(f431,plain,
    n18 = pred(n19),
    inference(cnf_transformation,[],[f1]) ).

fof(f3432,plain,
    spl2_485,
    inference(avatar_split_clause,[],[f422,f3430]) ).

fof(f3430,plain,
    ( spl2_485
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_485])]) ).

fof(f422,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f1]) ).

fof(f3428,plain,
    spl2_484,
    inference(avatar_split_clause,[],[f417,f3426]) ).

fof(f3426,plain,
    ( spl2_484
  <=> succ(n15) = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_484])]) ).

fof(f417,plain,
    succ(n15) = n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f3424,plain,
    spl2_483,
    inference(avatar_split_clause,[],[f408,f3422]) ).

fof(f3422,plain,
    ( spl2_483
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_483])]) ).

fof(f408,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f1]) ).

fof(f3420,plain,
    spl2_482,
    inference(avatar_split_clause,[],[f402,f3418]) ).

fof(f3418,plain,
    ( spl2_482
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_482])]) ).

fof(f402,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f3416,plain,
    spl2_481,
    inference(avatar_split_clause,[],[f399,f3414]) ).

fof(f3414,plain,
    ( spl2_481
  <=> succ(n19) = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_481])]) ).

fof(f399,plain,
    succ(n19) = n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f3412,plain,
    spl2_480,
    inference(avatar_split_clause,[],[f355,f3410]) ).

fof(f3410,plain,
    ( spl2_480
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_480])]) ).

fof(f355,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f1]) ).

fof(f3408,plain,
    spl2_479,
    inference(avatar_split_clause,[],[f351,f3406]) ).

fof(f3406,plain,
    ( spl2_479
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_479])]) ).

fof(f351,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f1]) ).

fof(f3404,plain,
    spl2_478,
    inference(avatar_split_clause,[],[f343,f3402]) ).

fof(f3402,plain,
    ( spl2_478
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_478])]) ).

fof(f343,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f1]) ).

fof(f3400,plain,
    spl2_477,
    inference(avatar_split_clause,[],[f323,f3398]) ).

fof(f3398,plain,
    ( spl2_477
  <=> n17 = pred(n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_477])]) ).

fof(f323,plain,
    n17 = pred(n18),
    inference(cnf_transformation,[],[f1]) ).

fof(f3396,plain,
    spl2_476,
    inference(avatar_split_clause,[],[f306,f3394]) ).

fof(f3394,plain,
    ( spl2_476
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_476])]) ).

fof(f306,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f3392,plain,
    spl2_475,
    inference(avatar_split_clause,[],[f295,f3390]) ).

fof(f3390,plain,
    ( spl2_475
  <=> succ(n23) = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_475])]) ).

fof(f295,plain,
    succ(n23) = n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f3388,plain,
    spl2_474,
    inference(avatar_split_clause,[],[f222,f3386]) ).

fof(f3386,plain,
    ( spl2_474
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_474])]) ).

fof(f222,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f1]) ).

fof(f3384,plain,
    spl2_473,
    inference(avatar_split_clause,[],[f186,f3382]) ).

fof(f3382,plain,
    ( spl2_473
  <=> n20 = pred(n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_473])]) ).

fof(f186,plain,
    n20 = pred(n21),
    inference(cnf_transformation,[],[f1]) ).

fof(f3380,plain,
    spl2_472,
    inference(avatar_split_clause,[],[f160,f3378]) ).

fof(f3378,plain,
    ( spl2_472
  <=> succ(n16) = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_472])]) ).

fof(f160,plain,
    succ(n16) = n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f3376,plain,
    spl2_471,
    inference(avatar_split_clause,[],[f159,f3374]) ).

fof(f3374,plain,
    ( spl2_471
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_471])]) ).

fof(f159,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f3372,plain,
    spl2_470,
    inference(avatar_split_clause,[],[f155,f3370]) ).

fof(f3370,plain,
    ( spl2_470
  <=> succ(n26) = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_470])]) ).

fof(f155,plain,
    succ(n26) = n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f3368,plain,
    spl2_469,
    inference(avatar_split_clause,[],[f143,f3366]) ).

fof(f3366,plain,
    ( spl2_469
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_469])]) ).

fof(f143,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f1]) ).

fof(f3364,plain,
    spl2_468,
    inference(avatar_split_clause,[],[f128,f3362]) ).

fof(f3362,plain,
    ( spl2_468
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_468])]) ).

fof(f128,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f1]) ).

fof(f3360,plain,
    spl2_467,
    inference(avatar_split_clause,[],[f112,f3358]) ).

fof(f3358,plain,
    ( spl2_467
  <=> n28 = pred(n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_467])]) ).

fof(f112,plain,
    n28 = pred(n29),
    inference(cnf_transformation,[],[f1]) ).

fof(f3356,plain,
    spl2_466,
    inference(avatar_split_clause,[],[f84,f3354]) ).

fof(f3354,plain,
    ( spl2_466
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_466])]) ).

fof(f84,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f3352,plain,
    ~ spl2_465,
    inference(avatar_split_clause,[],[f1488,f3350]) ).

fof(f3350,plain,
    ( spl2_465
  <=> n4 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_465])]) ).

fof(f1488,plain,
    n4 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3348,plain,
    ~ spl2_464,
    inference(avatar_split_clause,[],[f1487,f3346]) ).

fof(f3346,plain,
    ( spl2_464
  <=> n4 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_464])]) ).

fof(f1487,plain,
    n4 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3344,plain,
    ~ spl2_463,
    inference(avatar_split_clause,[],[f1482,f3342]) ).

fof(f3342,plain,
    ( spl2_463
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_463])]) ).

fof(f1482,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f3340,plain,
    ~ spl2_462,
    inference(avatar_split_clause,[],[f1480,f3338]) ).

fof(f3338,plain,
    ( spl2_462
  <=> n10 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_462])]) ).

fof(f1480,plain,
    n10 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f3336,plain,
    ~ spl2_461,
    inference(avatar_split_clause,[],[f1477,f3334]) ).

fof(f3334,plain,
    ( spl2_461
  <=> n3 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_461])]) ).

fof(f1477,plain,
    n3 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f3332,plain,
    ~ spl2_460,
    inference(avatar_split_clause,[],[f1472,f3330]) ).

fof(f3330,plain,
    ( spl2_460
  <=> n18 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_460])]) ).

fof(f1472,plain,
    n18 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3328,plain,
    ~ spl2_459,
    inference(avatar_split_clause,[],[f1471,f3326]) ).

fof(f3326,plain,
    ( spl2_459
  <=> n15 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_459])]) ).

fof(f1471,plain,
    n15 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3324,plain,
    ~ spl2_458,
    inference(avatar_split_clause,[],[f1466,f3322]) ).

fof(f3322,plain,
    ( spl2_458
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_458])]) ).

fof(f1466,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f3320,plain,
    ~ spl2_457,
    inference(avatar_split_clause,[],[f1465,f3318]) ).

fof(f3318,plain,
    ( spl2_457
  <=> n11 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_457])]) ).

fof(f1465,plain,
    n11 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3316,plain,
    ~ spl2_456,
    inference(avatar_split_clause,[],[f1462,f3314]) ).

fof(f3314,plain,
    ( spl2_456
  <=> n0 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_456])]) ).

fof(f1462,plain,
    n0 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3312,plain,
    ~ spl2_455,
    inference(avatar_split_clause,[],[f1460,f3310]) ).

fof(f3310,plain,
    ( spl2_455
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_455])]) ).

fof(f1460,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f3308,plain,
    ~ spl2_454,
    inference(avatar_split_clause,[],[f1457,f3306]) ).

fof(f3306,plain,
    ( spl2_454
  <=> n15 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_454])]) ).

fof(f1457,plain,
    n15 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f3304,plain,
    ~ spl2_453,
    inference(avatar_split_clause,[],[f1455,f3302]) ).

fof(f3302,plain,
    ( spl2_453
  <=> n10 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_453])]) ).

fof(f1455,plain,
    n10 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3300,plain,
    ~ spl2_452,
    inference(avatar_split_clause,[],[f1454,f3298]) ).

fof(f3298,plain,
    ( spl2_452
  <=> n26 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_452])]) ).

fof(f1454,plain,
    n26 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f3296,plain,
    ~ spl2_451,
    inference(avatar_split_clause,[],[f1451,f3294]) ).

fof(f3294,plain,
    ( spl2_451
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_451])]) ).

fof(f1451,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f3292,plain,
    ~ spl2_450,
    inference(avatar_split_clause,[],[f1450,f3290]) ).

fof(f3290,plain,
    ( spl2_450
  <=> n8 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_450])]) ).

fof(f1450,plain,
    n8 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f3288,plain,
    ~ spl2_449,
    inference(avatar_split_clause,[],[f1443,f3286]) ).

fof(f3286,plain,
    ( spl2_449
  <=> n3 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_449])]) ).

fof(f1443,plain,
    n3 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f3284,plain,
    ~ spl2_448,
    inference(avatar_split_clause,[],[f1440,f3282]) ).

fof(f3282,plain,
    ( spl2_448
  <=> n8 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_448])]) ).

fof(f1440,plain,
    n8 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3280,plain,
    ~ spl2_447,
    inference(avatar_split_clause,[],[f1439,f3278]) ).

fof(f3278,plain,
    ( spl2_447
  <=> n4 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_447])]) ).

fof(f1439,plain,
    n4 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f3276,plain,
    ~ spl2_446,
    inference(avatar_split_clause,[],[f1435,f3274]) ).

fof(f3274,plain,
    ( spl2_446
  <=> n14 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_446])]) ).

fof(f1435,plain,
    n14 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3272,plain,
    ~ spl2_445,
    inference(avatar_split_clause,[],[f1434,f3270]) ).

fof(f3270,plain,
    ( spl2_445
  <=> n9 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_445])]) ).

fof(f1434,plain,
    n9 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f3268,plain,
    ~ spl2_444,
    inference(avatar_split_clause,[],[f1427,f3266]) ).

fof(f3266,plain,
    ( spl2_444
  <=> n4 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_444])]) ).

fof(f1427,plain,
    n4 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3264,plain,
    ~ spl2_443,
    inference(avatar_split_clause,[],[f1423,f3262]) ).

fof(f3262,plain,
    ( spl2_443
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_443])]) ).

fof(f1423,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f3260,plain,
    ~ spl2_442,
    inference(avatar_split_clause,[],[f1420,f3258]) ).

fof(f3258,plain,
    ( spl2_442
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_442])]) ).

fof(f1420,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f3256,plain,
    ~ spl2_441,
    inference(avatar_split_clause,[],[f1418,f3254]) ).

fof(f3254,plain,
    ( spl2_441
  <=> n16 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_441])]) ).

fof(f1418,plain,
    n16 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f3252,plain,
    ~ spl2_440,
    inference(avatar_split_clause,[],[f1415,f3250]) ).

fof(f3250,plain,
    ( spl2_440
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_440])]) ).

fof(f1415,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f1]) ).

fof(f3248,plain,
    ~ spl2_439,
    inference(avatar_split_clause,[],[f1412,f3246]) ).

fof(f3246,plain,
    ( spl2_439
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_439])]) ).

fof(f1412,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f3244,plain,
    ~ spl2_438,
    inference(avatar_split_clause,[],[f1409,f3242]) ).

fof(f3242,plain,
    ( spl2_438
  <=> n23 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_438])]) ).

fof(f1409,plain,
    n23 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f3240,plain,
    ~ spl2_437,
    inference(avatar_split_clause,[],[f1407,f3238]) ).

fof(f3238,plain,
    ( spl2_437
  <=> n4 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_437])]) ).

fof(f1407,plain,
    n4 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f3236,plain,
    ~ spl2_436,
    inference(avatar_split_clause,[],[f1406,f3234]) ).

fof(f3234,plain,
    ( spl2_436
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_436])]) ).

fof(f1406,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f3232,plain,
    ~ spl2_435,
    inference(avatar_split_clause,[],[f1397,f3230]) ).

fof(f3230,plain,
    ( spl2_435
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_435])]) ).

fof(f1397,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f3228,plain,
    ~ spl2_434,
    inference(avatar_split_clause,[],[f1393,f3226]) ).

fof(f3226,plain,
    ( spl2_434
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_434])]) ).

fof(f1393,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f3224,plain,
    ~ spl2_433,
    inference(avatar_split_clause,[],[f1391,f3222]) ).

fof(f3222,plain,
    ( spl2_433
  <=> n17 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_433])]) ).

fof(f1391,plain,
    n17 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3220,plain,
    ~ spl2_432,
    inference(avatar_split_clause,[],[f1388,f3218]) ).

fof(f3218,plain,
    ( spl2_432
  <=> n28 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_432])]) ).

fof(f1388,plain,
    n28 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3216,plain,
    ~ spl2_431,
    inference(avatar_split_clause,[],[f1386,f3214]) ).

fof(f3214,plain,
    ( spl2_431
  <=> n24 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_431])]) ).

fof(f1386,plain,
    n24 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3212,plain,
    ~ spl2_430,
    inference(avatar_split_clause,[],[f1384,f3210]) ).

fof(f3210,plain,
    ( spl2_430
  <=> n9 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_430])]) ).

fof(f1384,plain,
    n9 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3208,plain,
    ~ spl2_429,
    inference(avatar_split_clause,[],[f1382,f3206]) ).

fof(f3206,plain,
    ( spl2_429
  <=> n22 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_429])]) ).

fof(f1382,plain,
    n22 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3204,plain,
    ~ spl2_428,
    inference(avatar_split_clause,[],[f1380,f3202]) ).

fof(f3202,plain,
    ( spl2_428
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_428])]) ).

fof(f1380,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f3200,plain,
    ~ spl2_427,
    inference(avatar_split_clause,[],[f1379,f3198]) ).

fof(f3198,plain,
    ( spl2_427
  <=> n15 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_427])]) ).

fof(f1379,plain,
    n15 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f3196,plain,
    ~ spl2_426,
    inference(avatar_split_clause,[],[f1378,f3194]) ).

fof(f3194,plain,
    ( spl2_426
  <=> n10 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_426])]) ).

fof(f1378,plain,
    n10 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f3192,plain,
    ~ spl2_425,
    inference(avatar_split_clause,[],[f1377,f3190]) ).

fof(f3190,plain,
    ( spl2_425
  <=> n27 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_425])]) ).

fof(f1377,plain,
    n27 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f3188,plain,
    ~ spl2_424,
    inference(avatar_split_clause,[],[f1376,f3186]) ).

fof(f3186,plain,
    ( spl2_424
  <=> n21 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_424])]) ).

fof(f1376,plain,
    n21 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3184,plain,
    ~ spl2_423,
    inference(avatar_split_clause,[],[f1373,f3182]) ).

fof(f3182,plain,
    ( spl2_423
  <=> n2 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_423])]) ).

fof(f1373,plain,
    n2 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3180,plain,
    ~ spl2_422,
    inference(avatar_split_clause,[],[f1366,f3178]) ).

fof(f3178,plain,
    ( spl2_422
  <=> n8 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_422])]) ).

fof(f1366,plain,
    n8 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f3176,plain,
    ~ spl2_421,
    inference(avatar_split_clause,[],[f1365,f3174]) ).

fof(f3174,plain,
    ( spl2_421
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_421])]) ).

fof(f1365,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f3172,plain,
    ~ spl2_420,
    inference(avatar_split_clause,[],[f1362,f3170]) ).

fof(f3170,plain,
    ( spl2_420
  <=> n12 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_420])]) ).

fof(f1362,plain,
    n12 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3168,plain,
    ~ spl2_419,
    inference(avatar_split_clause,[],[f1353,f3166]) ).

fof(f3166,plain,
    ( spl2_419
  <=> n5 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_419])]) ).

fof(f1353,plain,
    n5 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f3164,plain,
    ~ spl2_418,
    inference(avatar_split_clause,[],[f1352,f3162]) ).

fof(f3162,plain,
    ( spl2_418
  <=> n21 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_418])]) ).

fof(f1352,plain,
    n21 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3160,plain,
    ~ spl2_417,
    inference(avatar_split_clause,[],[f1350,f3158]) ).

fof(f3158,plain,
    ( spl2_417
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_417])]) ).

fof(f1350,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f3156,plain,
    ~ spl2_416,
    inference(avatar_split_clause,[],[f1349,f3154]) ).

fof(f3154,plain,
    ( spl2_416
  <=> n6 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_416])]) ).

fof(f1349,plain,
    n6 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f3152,plain,
    ~ spl2_415,
    inference(avatar_split_clause,[],[f1345,f3150]) ).

fof(f3150,plain,
    ( spl2_415
  <=> n2 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_415])]) ).

fof(f1345,plain,
    n2 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3148,plain,
    ~ spl2_414,
    inference(avatar_split_clause,[],[f1344,f3146]) ).

fof(f3146,plain,
    ( spl2_414
  <=> n26 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_414])]) ).

fof(f1344,plain,
    n26 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3144,plain,
    ~ spl2_413,
    inference(avatar_split_clause,[],[f1340,f3142]) ).

fof(f3142,plain,
    ( spl2_413
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_413])]) ).

fof(f1340,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f3140,plain,
    ~ spl2_412,
    inference(avatar_split_clause,[],[f1338,f3138]) ).

fof(f3138,plain,
    ( spl2_412
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_412])]) ).

fof(f1338,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f3136,plain,
    ~ spl2_411,
    inference(avatar_split_clause,[],[f1335,f3134]) ).

fof(f3134,plain,
    ( spl2_411
  <=> n1 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_411])]) ).

fof(f1335,plain,
    n1 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f3132,plain,
    ~ spl2_410,
    inference(avatar_split_clause,[],[f1334,f3130]) ).

fof(f3130,plain,
    ( spl2_410
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_410])]) ).

fof(f1334,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f1]) ).

fof(f3128,plain,
    ~ spl2_409,
    inference(avatar_split_clause,[],[f1331,f3126]) ).

fof(f3126,plain,
    ( spl2_409
  <=> n5 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_409])]) ).

fof(f1331,plain,
    n5 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3124,plain,
    ~ spl2_408,
    inference(avatar_split_clause,[],[f1329,f3122]) ).

fof(f3122,plain,
    ( spl2_408
  <=> n20 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_408])]) ).

fof(f1329,plain,
    n20 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f3120,plain,
    ~ spl2_407,
    inference(avatar_split_clause,[],[f1328,f3118]) ).

fof(f3118,plain,
    ( spl2_407
  <=> n20 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_407])]) ).

fof(f1328,plain,
    n20 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3116,plain,
    ~ spl2_406,
    inference(avatar_split_clause,[],[f1320,f3114]) ).

fof(f3114,plain,
    ( spl2_406
  <=> n12 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_406])]) ).

fof(f1320,plain,
    n12 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f3112,plain,
    ~ spl2_405,
    inference(avatar_split_clause,[],[f1318,f3110]) ).

fof(f3110,plain,
    ( spl2_405
  <=> n5 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_405])]) ).

fof(f1318,plain,
    n5 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3108,plain,
    ~ spl2_404,
    inference(avatar_split_clause,[],[f1310,f3106]) ).

fof(f3106,plain,
    ( spl2_404
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_404])]) ).

fof(f1310,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f1]) ).

fof(f3104,plain,
    ~ spl2_403,
    inference(avatar_split_clause,[],[f1308,f3102]) ).

fof(f3102,plain,
    ( spl2_403
  <=> n15 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_403])]) ).

fof(f1308,plain,
    n15 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f3100,plain,
    ~ spl2_402,
    inference(avatar_split_clause,[],[f1306,f3098]) ).

fof(f3098,plain,
    ( spl2_402
  <=> n16 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_402])]) ).

fof(f1306,plain,
    n16 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3096,plain,
    ~ spl2_401,
    inference(avatar_split_clause,[],[f1305,f3094]) ).

fof(f3094,plain,
    ( spl2_401
  <=> n24 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_401])]) ).

fof(f1305,plain,
    n24 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f3092,plain,
    ~ spl2_400,
    inference(avatar_split_clause,[],[f1304,f3090]) ).

fof(f3090,plain,
    ( spl2_400
  <=> n4 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_400])]) ).

fof(f1304,plain,
    n4 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f3088,plain,
    ~ spl2_399,
    inference(avatar_split_clause,[],[f1303,f3086]) ).

fof(f3086,plain,
    ( spl2_399
  <=> n15 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_399])]) ).

fof(f1303,plain,
    n15 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3084,plain,
    ~ spl2_398,
    inference(avatar_split_clause,[],[f1297,f3082]) ).

fof(f3082,plain,
    ( spl2_398
  <=> n11 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_398])]) ).

fof(f1297,plain,
    n11 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f3080,plain,
    ~ spl2_397,
    inference(avatar_split_clause,[],[f1294,f3078]) ).

fof(f3078,plain,
    ( spl2_397
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_397])]) ).

fof(f1294,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f3076,plain,
    ~ spl2_396,
    inference(avatar_split_clause,[],[f1288,f3074]) ).

fof(f3074,plain,
    ( spl2_396
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_396])]) ).

fof(f1288,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f3072,plain,
    ~ spl2_395,
    inference(avatar_split_clause,[],[f1286,f3070]) ).

fof(f3070,plain,
    ( spl2_395
  <=> n0 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_395])]) ).

fof(f1286,plain,
    n0 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f3068,plain,
    ~ spl2_394,
    inference(avatar_split_clause,[],[f1283,f3066]) ).

fof(f3066,plain,
    ( spl2_394
  <=> n1 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_394])]) ).

fof(f1283,plain,
    n1 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3064,plain,
    ~ spl2_393,
    inference(avatar_split_clause,[],[f1282,f3062]) ).

fof(f3062,plain,
    ( spl2_393
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_393])]) ).

fof(f1282,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f3060,plain,
    ~ spl2_392,
    inference(avatar_split_clause,[],[f1279,f3058]) ).

fof(f3058,plain,
    ( spl2_392
  <=> n13 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_392])]) ).

fof(f1279,plain,
    n13 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f3056,plain,
    ~ spl2_391,
    inference(avatar_split_clause,[],[f1275,f3054]) ).

fof(f3054,plain,
    ( spl2_391
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_391])]) ).

fof(f1275,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f1]) ).

fof(f3052,plain,
    ~ spl2_390,
    inference(avatar_split_clause,[],[f1274,f3050]) ).

fof(f3050,plain,
    ( spl2_390
  <=> n17 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_390])]) ).

fof(f1274,plain,
    n17 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f3048,plain,
    ~ spl2_389,
    inference(avatar_split_clause,[],[f1270,f3046]) ).

fof(f3046,plain,
    ( spl2_389
  <=> n21 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_389])]) ).

fof(f1270,plain,
    n21 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3044,plain,
    ~ spl2_388,
    inference(avatar_split_clause,[],[f1269,f3042]) ).

fof(f3042,plain,
    ( spl2_388
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_388])]) ).

fof(f1269,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f3040,plain,
    ~ spl2_387,
    inference(avatar_split_clause,[],[f1268,f3038]) ).

fof(f3038,plain,
    ( spl2_387
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_387])]) ).

fof(f1268,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f3036,plain,
    ~ spl2_386,
    inference(avatar_split_clause,[],[f1265,f3034]) ).

fof(f3034,plain,
    ( spl2_386
  <=> n11 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_386])]) ).

fof(f1265,plain,
    n11 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3032,plain,
    ~ spl2_385,
    inference(avatar_split_clause,[],[f1264,f3030]) ).

fof(f3030,plain,
    ( spl2_385
  <=> n3 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_385])]) ).

fof(f1264,plain,
    n3 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f3028,plain,
    ~ spl2_384,
    inference(avatar_split_clause,[],[f1260,f3026]) ).

fof(f3026,plain,
    ( spl2_384
  <=> n5 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_384])]) ).

fof(f1260,plain,
    n5 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f3024,plain,
    ~ spl2_383,
    inference(avatar_split_clause,[],[f1257,f3022]) ).

fof(f3022,plain,
    ( spl2_383
  <=> n7 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_383])]) ).

fof(f1257,plain,
    n7 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f3020,plain,
    ~ spl2_382,
    inference(avatar_split_clause,[],[f1256,f3018]) ).

fof(f3018,plain,
    ( spl2_382
  <=> n13 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_382])]) ).

fof(f1256,plain,
    n13 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f3016,plain,
    ~ spl2_381,
    inference(avatar_split_clause,[],[f1252,f3014]) ).

fof(f3014,plain,
    ( spl2_381
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_381])]) ).

fof(f1252,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f3012,plain,
    ~ spl2_380,
    inference(avatar_split_clause,[],[f1247,f3010]) ).

fof(f3010,plain,
    ( spl2_380
  <=> n6 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_380])]) ).

fof(f1247,plain,
    n6 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3008,plain,
    ~ spl2_379,
    inference(avatar_split_clause,[],[f1245,f3006]) ).

fof(f3006,plain,
    ( spl2_379
  <=> n2 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_379])]) ).

fof(f1245,plain,
    n2 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f3004,plain,
    ~ spl2_378,
    inference(avatar_split_clause,[],[f1243,f3002]) ).

fof(f3002,plain,
    ( spl2_378
  <=> n13 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_378])]) ).

fof(f1243,plain,
    n13 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f3000,plain,
    ~ spl2_377,
    inference(avatar_split_clause,[],[f1242,f2998]) ).

fof(f2998,plain,
    ( spl2_377
  <=> n14 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_377])]) ).

fof(f1242,plain,
    n14 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2996,plain,
    ~ spl2_376,
    inference(avatar_split_clause,[],[f1236,f2994]) ).

fof(f2994,plain,
    ( spl2_376
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_376])]) ).

fof(f1236,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2992,plain,
    ~ spl2_375,
    inference(avatar_split_clause,[],[f1234,f2990]) ).

fof(f2990,plain,
    ( spl2_375
  <=> n18 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_375])]) ).

fof(f1234,plain,
    n18 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2988,plain,
    ~ spl2_374,
    inference(avatar_split_clause,[],[f1232,f2986]) ).

fof(f2986,plain,
    ( spl2_374
  <=> n8 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_374])]) ).

fof(f1232,plain,
    n8 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2984,plain,
    ~ spl2_373,
    inference(avatar_split_clause,[],[f1220,f2982]) ).

fof(f2982,plain,
    ( spl2_373
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_373])]) ).

fof(f1220,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2980,plain,
    ~ spl2_372,
    inference(avatar_split_clause,[],[f1218,f2978]) ).

fof(f2978,plain,
    ( spl2_372
  <=> n18 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_372])]) ).

fof(f1218,plain,
    n18 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2976,plain,
    ~ spl2_371,
    inference(avatar_split_clause,[],[f1213,f2974]) ).

fof(f2974,plain,
    ( spl2_371
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_371])]) ).

fof(f1213,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2972,plain,
    ~ spl2_370,
    inference(avatar_split_clause,[],[f1211,f2970]) ).

fof(f2970,plain,
    ( spl2_370
  <=> n23 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_370])]) ).

fof(f1211,plain,
    n23 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2968,plain,
    ~ spl2_369,
    inference(avatar_split_clause,[],[f1209,f2966]) ).

fof(f2966,plain,
    ( spl2_369
  <=> n12 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_369])]) ).

fof(f1209,plain,
    n12 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2964,plain,
    ~ spl2_368,
    inference(avatar_split_clause,[],[f1203,f2962]) ).

fof(f2962,plain,
    ( spl2_368
  <=> n6 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_368])]) ).

fof(f1203,plain,
    n6 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2960,plain,
    ~ spl2_367,
    inference(avatar_split_clause,[],[f1194,f2958]) ).

fof(f2958,plain,
    ( spl2_367
  <=> n18 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_367])]) ).

fof(f1194,plain,
    n18 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2956,plain,
    ~ spl2_366,
    inference(avatar_split_clause,[],[f1184,f2954]) ).

fof(f2954,plain,
    ( spl2_366
  <=> n3 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_366])]) ).

fof(f1184,plain,
    n3 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2952,plain,
    ~ spl2_365,
    inference(avatar_split_clause,[],[f1182,f2950]) ).

fof(f2950,plain,
    ( spl2_365
  <=> n14 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_365])]) ).

fof(f1182,plain,
    n14 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2948,plain,
    ~ spl2_364,
    inference(avatar_split_clause,[],[f1181,f2946]) ).

fof(f2946,plain,
    ( spl2_364
  <=> n2 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_364])]) ).

fof(f1181,plain,
    n2 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2944,plain,
    ~ spl2_363,
    inference(avatar_split_clause,[],[f1179,f2942]) ).

fof(f2942,plain,
    ( spl2_363
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_363])]) ).

fof(f1179,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2940,plain,
    ~ spl2_362,
    inference(avatar_split_clause,[],[f1172,f2938]) ).

fof(f2938,plain,
    ( spl2_362
  <=> n3 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_362])]) ).

fof(f1172,plain,
    n3 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2936,plain,
    ~ spl2_361,
    inference(avatar_split_clause,[],[f1156,f2934]) ).

fof(f2934,plain,
    ( spl2_361
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_361])]) ).

fof(f1156,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f2932,plain,
    ~ spl2_360,
    inference(avatar_split_clause,[],[f1155,f2930]) ).

fof(f2930,plain,
    ( spl2_360
  <=> n13 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_360])]) ).

fof(f1155,plain,
    n13 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2928,plain,
    ~ spl2_359,
    inference(avatar_split_clause,[],[f1153,f2926]) ).

fof(f2926,plain,
    ( spl2_359
  <=> n18 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_359])]) ).

fof(f1153,plain,
    n18 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2924,plain,
    ~ spl2_358,
    inference(avatar_split_clause,[],[f1152,f2922]) ).

fof(f2922,plain,
    ( spl2_358
  <=> n17 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_358])]) ).

fof(f1152,plain,
    n17 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2920,plain,
    ~ spl2_357,
    inference(avatar_split_clause,[],[f1146,f2918]) ).

fof(f2918,plain,
    ( spl2_357
  <=> n9 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_357])]) ).

fof(f1146,plain,
    n9 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2916,plain,
    ~ spl2_356,
    inference(avatar_split_clause,[],[f1145,f2914]) ).

fof(f2914,plain,
    ( spl2_356
  <=> n16 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_356])]) ).

fof(f1145,plain,
    n16 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2912,plain,
    ~ spl2_355,
    inference(avatar_split_clause,[],[f1144,f2910]) ).

fof(f2910,plain,
    ( spl2_355
  <=> n3 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_355])]) ).

fof(f1144,plain,
    n3 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2908,plain,
    ~ spl2_354,
    inference(avatar_split_clause,[],[f1143,f2906]) ).

fof(f2906,plain,
    ( spl2_354
  <=> n16 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_354])]) ).

fof(f1143,plain,
    n16 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2904,plain,
    ~ spl2_353,
    inference(avatar_split_clause,[],[f1137,f2902]) ).

fof(f2902,plain,
    ( spl2_353
  <=> n10 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_353])]) ).

fof(f1137,plain,
    n10 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2900,plain,
    ~ spl2_352,
    inference(avatar_split_clause,[],[f1136,f2898]) ).

fof(f2898,plain,
    ( spl2_352
  <=> n2 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_352])]) ).

fof(f1136,plain,
    n2 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2896,plain,
    ~ spl2_351,
    inference(avatar_split_clause,[],[f1134,f2894]) ).

fof(f2894,plain,
    ( spl2_351
  <=> n0 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_351])]) ).

fof(f1134,plain,
    n0 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2892,plain,
    ~ spl2_350,
    inference(avatar_split_clause,[],[f1132,f2890]) ).

fof(f2890,plain,
    ( spl2_350
  <=> n14 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_350])]) ).

fof(f1132,plain,
    n14 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2888,plain,
    ~ spl2_349,
    inference(avatar_split_clause,[],[f1131,f2886]) ).

fof(f2886,plain,
    ( spl2_349
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_349])]) ).

fof(f1131,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f2884,plain,
    ~ spl2_348,
    inference(avatar_split_clause,[],[f1126,f2882]) ).

fof(f2882,plain,
    ( spl2_348
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_348])]) ).

fof(f1126,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2880,plain,
    ~ spl2_347,
    inference(avatar_split_clause,[],[f1125,f2878]) ).

fof(f2878,plain,
    ( spl2_347
  <=> n15 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_347])]) ).

fof(f1125,plain,
    n15 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2876,plain,
    ~ spl2_346,
    inference(avatar_split_clause,[],[f1124,f2874]) ).

fof(f2874,plain,
    ( spl2_346
  <=> n17 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_346])]) ).

fof(f1124,plain,
    n17 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2872,plain,
    ~ spl2_345,
    inference(avatar_split_clause,[],[f1119,f2870]) ).

fof(f2870,plain,
    ( spl2_345
  <=> n7 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_345])]) ).

fof(f1119,plain,
    n7 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2868,plain,
    ~ spl2_344,
    inference(avatar_split_clause,[],[f1116,f2866]) ).

fof(f2866,plain,
    ( spl2_344
  <=> n7 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_344])]) ).

fof(f1116,plain,
    n7 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2864,plain,
    ~ spl2_343,
    inference(avatar_split_clause,[],[f1113,f2862]) ).

fof(f2862,plain,
    ( spl2_343
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_343])]) ).

fof(f1113,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f1]) ).

fof(f2860,plain,
    ~ spl2_342,
    inference(avatar_split_clause,[],[f1111,f2858]) ).

fof(f2858,plain,
    ( spl2_342
  <=> n11 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_342])]) ).

fof(f1111,plain,
    n11 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2856,plain,
    ~ spl2_341,
    inference(avatar_split_clause,[],[f1108,f2854]) ).

fof(f2854,plain,
    ( spl2_341
  <=> n1 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_341])]) ).

fof(f1108,plain,
    n1 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2852,plain,
    ~ spl2_340,
    inference(avatar_split_clause,[],[f1107,f2850]) ).

fof(f2850,plain,
    ( spl2_340
  <=> n12 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_340])]) ).

fof(f1107,plain,
    n12 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2848,plain,
    ~ spl2_339,
    inference(avatar_split_clause,[],[f1106,f2846]) ).

fof(f2846,plain,
    ( spl2_339
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_339])]) ).

fof(f1106,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f2844,plain,
    ~ spl2_338,
    inference(avatar_split_clause,[],[f1105,f2842]) ).

fof(f2842,plain,
    ( spl2_338
  <=> n6 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_338])]) ).

fof(f1105,plain,
    n6 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2840,plain,
    ~ spl2_337,
    inference(avatar_split_clause,[],[f1102,f2838]) ).

fof(f2838,plain,
    ( spl2_337
  <=> n6 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_337])]) ).

fof(f1102,plain,
    n6 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2836,plain,
    ~ spl2_336,
    inference(avatar_split_clause,[],[f1098,f2834]) ).

fof(f2834,plain,
    ( spl2_336
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_336])]) ).

fof(f1098,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f2832,plain,
    ~ spl2_335,
    inference(avatar_split_clause,[],[f1095,f2830]) ).

fof(f2830,plain,
    ( spl2_335
  <=> n0 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_335])]) ).

fof(f1095,plain,
    n0 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2828,plain,
    ~ spl2_334,
    inference(avatar_split_clause,[],[f1087,f2826]) ).

fof(f2826,plain,
    ( spl2_334
  <=> n7 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_334])]) ).

fof(f1087,plain,
    n7 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2824,plain,
    ~ spl2_333,
    inference(avatar_split_clause,[],[f1085,f2822]) ).

fof(f2822,plain,
    ( spl2_333
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_333])]) ).

fof(f1085,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f2820,plain,
    ~ spl2_332,
    inference(avatar_split_clause,[],[f1084,f2818]) ).

fof(f2818,plain,
    ( spl2_332
  <=> n18 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_332])]) ).

fof(f1084,plain,
    n18 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2816,plain,
    ~ spl2_331,
    inference(avatar_split_clause,[],[f1083,f2814]) ).

fof(f2814,plain,
    ( spl2_331
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_331])]) ).

fof(f1083,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f2812,plain,
    ~ spl2_330,
    inference(avatar_split_clause,[],[f1080,f2810]) ).

fof(f2810,plain,
    ( spl2_330
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_330])]) ).

fof(f1080,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2808,plain,
    ~ spl2_329,
    inference(avatar_split_clause,[],[f1079,f2806]) ).

fof(f2806,plain,
    ( spl2_329
  <=> n16 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_329])]) ).

fof(f1079,plain,
    n16 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2804,plain,
    ~ spl2_328,
    inference(avatar_split_clause,[],[f1075,f2802]) ).

fof(f2802,plain,
    ( spl2_328
  <=> n5 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_328])]) ).

fof(f1075,plain,
    n5 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2800,plain,
    ~ spl2_327,
    inference(avatar_split_clause,[],[f1071,f2798]) ).

fof(f2798,plain,
    ( spl2_327
  <=> n19 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_327])]) ).

fof(f1071,plain,
    n19 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2796,plain,
    ~ spl2_326,
    inference(avatar_split_clause,[],[f1069,f2794]) ).

fof(f2794,plain,
    ( spl2_326
  <=> n27 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_326])]) ).

fof(f1069,plain,
    n27 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2792,plain,
    ~ spl2_325,
    inference(avatar_split_clause,[],[f1063,f2790]) ).

fof(f2790,plain,
    ( spl2_325
  <=> n0 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_325])]) ).

fof(f1063,plain,
    n0 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2788,plain,
    ~ spl2_324,
    inference(avatar_split_clause,[],[f1062,f2786]) ).

fof(f2786,plain,
    ( spl2_324
  <=> n5 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_324])]) ).

fof(f1062,plain,
    n5 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2784,plain,
    ~ spl2_323,
    inference(avatar_split_clause,[],[f1060,f2782]) ).

fof(f2782,plain,
    ( spl2_323
  <=> n13 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_323])]) ).

fof(f1060,plain,
    n13 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2780,plain,
    ~ spl2_322,
    inference(avatar_split_clause,[],[f1058,f2778]) ).

fof(f2778,plain,
    ( spl2_322
  <=> n5 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_322])]) ).

fof(f1058,plain,
    n5 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2776,plain,
    ~ spl2_321,
    inference(avatar_split_clause,[],[f1056,f2774]) ).

fof(f2774,plain,
    ( spl2_321
  <=> n7 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_321])]) ).

fof(f1056,plain,
    n7 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2772,plain,
    ~ spl2_320,
    inference(avatar_split_clause,[],[f1055,f2770]) ).

fof(f2770,plain,
    ( spl2_320
  <=> n20 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_320])]) ).

fof(f1055,plain,
    n20 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2768,plain,
    ~ spl2_319,
    inference(avatar_split_clause,[],[f1054,f2766]) ).

fof(f2766,plain,
    ( spl2_319
  <=> n22 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_319])]) ).

fof(f1054,plain,
    n22 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2764,plain,
    ~ spl2_318,
    inference(avatar_split_clause,[],[f1047,f2762]) ).

fof(f2762,plain,
    ( spl2_318
  <=> n9 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_318])]) ).

fof(f1047,plain,
    n9 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2760,plain,
    ~ spl2_317,
    inference(avatar_split_clause,[],[f1044,f2758]) ).

fof(f2758,plain,
    ( spl2_317
  <=> n19 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_317])]) ).

fof(f1044,plain,
    n19 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2756,plain,
    ~ spl2_316,
    inference(avatar_split_clause,[],[f1041,f2754]) ).

fof(f2754,plain,
    ( spl2_316
  <=> n11 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_316])]) ).

fof(f1041,plain,
    n11 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2752,plain,
    ~ spl2_315,
    inference(avatar_split_clause,[],[f1038,f2750]) ).

fof(f2750,plain,
    ( spl2_315
  <=> n1 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_315])]) ).

fof(f1038,plain,
    n1 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2748,plain,
    ~ spl2_314,
    inference(avatar_split_clause,[],[f1036,f2746]) ).

fof(f2746,plain,
    ( spl2_314
  <=> n17 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_314])]) ).

fof(f1036,plain,
    n17 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2744,plain,
    ~ spl2_313,
    inference(avatar_split_clause,[],[f1033,f2742]) ).

fof(f2742,plain,
    ( spl2_313
  <=> n19 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_313])]) ).

fof(f1033,plain,
    n19 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2740,plain,
    ~ spl2_312,
    inference(avatar_split_clause,[],[f1029,f2738]) ).

fof(f2738,plain,
    ( spl2_312
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_312])]) ).

fof(f1029,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f2736,plain,
    ~ spl2_311,
    inference(avatar_split_clause,[],[f1027,f2734]) ).

fof(f2734,plain,
    ( spl2_311
  <=> n7 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_311])]) ).

fof(f1027,plain,
    n7 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2732,plain,
    ~ spl2_310,
    inference(avatar_split_clause,[],[f1024,f2730]) ).

fof(f2730,plain,
    ( spl2_310
  <=> n2 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_310])]) ).

fof(f1024,plain,
    n2 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2728,plain,
    ~ spl2_309,
    inference(avatar_split_clause,[],[f1021,f2726]) ).

fof(f2726,plain,
    ( spl2_309
  <=> n15 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_309])]) ).

fof(f1021,plain,
    n15 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2724,plain,
    ~ spl2_308,
    inference(avatar_split_clause,[],[f1020,f2722]) ).

fof(f2722,plain,
    ( spl2_308
  <=> n24 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_308])]) ).

fof(f1020,plain,
    n24 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2720,plain,
    ~ spl2_307,
    inference(avatar_split_clause,[],[f1019,f2718]) ).

fof(f2718,plain,
    ( spl2_307
  <=> n0 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_307])]) ).

fof(f1019,plain,
    n0 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2716,plain,
    ~ spl2_306,
    inference(avatar_split_clause,[],[f1018,f2714]) ).

fof(f2714,plain,
    ( spl2_306
  <=> n13 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_306])]) ).

fof(f1018,plain,
    n13 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2712,plain,
    ~ spl2_305,
    inference(avatar_split_clause,[],[f1015,f2710]) ).

fof(f2710,plain,
    ( spl2_305
  <=> n5 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_305])]) ).

fof(f1015,plain,
    n5 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2708,plain,
    ~ spl2_304,
    inference(avatar_split_clause,[],[f1007,f2706]) ).

fof(f2706,plain,
    ( spl2_304
  <=> n1 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_304])]) ).

fof(f1007,plain,
    n1 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2704,plain,
    ~ spl2_303,
    inference(avatar_split_clause,[],[f1005,f2702]) ).

fof(f2702,plain,
    ( spl2_303
  <=> n23 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_303])]) ).

fof(f1005,plain,
    n23 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2700,plain,
    ~ spl2_302,
    inference(avatar_split_clause,[],[f1003,f2698]) ).

fof(f2698,plain,
    ( spl2_302
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_302])]) ).

fof(f1003,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f2696,plain,
    ~ spl2_301,
    inference(avatar_split_clause,[],[f997,f2694]) ).

fof(f2694,plain,
    ( spl2_301
  <=> n1 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_301])]) ).

fof(f997,plain,
    n1 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2692,plain,
    ~ spl2_300,
    inference(avatar_split_clause,[],[f992,f2690]) ).

fof(f2690,plain,
    ( spl2_300
  <=> n25 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_300])]) ).

fof(f992,plain,
    n25 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2688,plain,
    ~ spl2_299,
    inference(avatar_split_clause,[],[f991,f2686]) ).

fof(f2686,plain,
    ( spl2_299
  <=> n12 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_299])]) ).

fof(f991,plain,
    n12 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2684,plain,
    ~ spl2_298,
    inference(avatar_split_clause,[],[f989,f2682]) ).

fof(f2682,plain,
    ( spl2_298
  <=> n8 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_298])]) ).

fof(f989,plain,
    n8 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2680,plain,
    ~ spl2_297,
    inference(avatar_split_clause,[],[f986,f2678]) ).

fof(f2678,plain,
    ( spl2_297
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_297])]) ).

fof(f986,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f2676,plain,
    ~ spl2_296,
    inference(avatar_split_clause,[],[f983,f2674]) ).

fof(f2674,plain,
    ( spl2_296
  <=> n12 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_296])]) ).

fof(f983,plain,
    n12 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2672,plain,
    ~ spl2_295,
    inference(avatar_split_clause,[],[f982,f2670]) ).

fof(f2670,plain,
    ( spl2_295
  <=> n4 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_295])]) ).

fof(f982,plain,
    n4 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2668,plain,
    ~ spl2_294,
    inference(avatar_split_clause,[],[f978,f2666]) ).

fof(f2666,plain,
    ( spl2_294
  <=> n11 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_294])]) ).

fof(f978,plain,
    n11 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2664,plain,
    ~ spl2_293,
    inference(avatar_split_clause,[],[f977,f2662]) ).

fof(f2662,plain,
    ( spl2_293
  <=> n20 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_293])]) ).

fof(f977,plain,
    n20 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2660,plain,
    ~ spl2_292,
    inference(avatar_split_clause,[],[f976,f2658]) ).

fof(f2658,plain,
    ( spl2_292
  <=> n7 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_292])]) ).

fof(f976,plain,
    n7 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2656,plain,
    ~ spl2_291,
    inference(avatar_split_clause,[],[f975,f2654]) ).

fof(f2654,plain,
    ( spl2_291
  <=> n7 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_291])]) ).

fof(f975,plain,
    n7 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2652,plain,
    ~ spl2_290,
    inference(avatar_split_clause,[],[f974,f2650]) ).

fof(f2650,plain,
    ( spl2_290
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_290])]) ).

fof(f974,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f2648,plain,
    ~ spl2_289,
    inference(avatar_split_clause,[],[f973,f2646]) ).

fof(f2646,plain,
    ( spl2_289
  <=> n10 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_289])]) ).

fof(f973,plain,
    n10 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2644,plain,
    ~ spl2_288,
    inference(avatar_split_clause,[],[f970,f2642]) ).

fof(f2642,plain,
    ( spl2_288
  <=> n0 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_288])]) ).

fof(f970,plain,
    n0 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2640,plain,
    ~ spl2_287,
    inference(avatar_split_clause,[],[f969,f2638]) ).

fof(f2638,plain,
    ( spl2_287
  <=> n15 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_287])]) ).

fof(f969,plain,
    n15 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2636,plain,
    ~ spl2_286,
    inference(avatar_split_clause,[],[f963,f2634]) ).

fof(f2634,plain,
    ( spl2_286
  <=> n10 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_286])]) ).

fof(f963,plain,
    n10 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2632,plain,
    ~ spl2_285,
    inference(avatar_split_clause,[],[f962,f2630]) ).

fof(f2630,plain,
    ( spl2_285
  <=> n0 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_285])]) ).

fof(f962,plain,
    n0 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2628,plain,
    ~ spl2_284,
    inference(avatar_split_clause,[],[f961,f2626]) ).

fof(f2626,plain,
    ( spl2_284
  <=> n1 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_284])]) ).

fof(f961,plain,
    n1 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2624,plain,
    ~ spl2_283,
    inference(avatar_split_clause,[],[f960,f2622]) ).

fof(f2622,plain,
    ( spl2_283
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_283])]) ).

fof(f960,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f2620,plain,
    ~ spl2_282,
    inference(avatar_split_clause,[],[f947,f2618]) ).

fof(f2618,plain,
    ( spl2_282
  <=> n4 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_282])]) ).

fof(f947,plain,
    n4 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2616,plain,
    ~ spl2_281,
    inference(avatar_split_clause,[],[f943,f2614]) ).

fof(f2614,plain,
    ( spl2_281
  <=> n13 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_281])]) ).

fof(f943,plain,
    n13 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2612,plain,
    ~ spl2_280,
    inference(avatar_split_clause,[],[f940,f2610]) ).

fof(f2610,plain,
    ( spl2_280
  <=> n7 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_280])]) ).

fof(f940,plain,
    n7 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2608,plain,
    ~ spl2_279,
    inference(avatar_split_clause,[],[f934,f2606]) ).

fof(f2606,plain,
    ( spl2_279
  <=> n13 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_279])]) ).

fof(f934,plain,
    n13 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2604,plain,
    ~ spl2_278,
    inference(avatar_split_clause,[],[f933,f2602]) ).

fof(f2602,plain,
    ( spl2_278
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_278])]) ).

fof(f933,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f2600,plain,
    ~ spl2_277,
    inference(avatar_split_clause,[],[f929,f2598]) ).

fof(f2598,plain,
    ( spl2_277
  <=> n5 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_277])]) ).

fof(f929,plain,
    n5 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2596,plain,
    ~ spl2_276,
    inference(avatar_split_clause,[],[f923,f2594]) ).

fof(f2594,plain,
    ( spl2_276
  <=> n4 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_276])]) ).

fof(f923,plain,
    n4 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2592,plain,
    ~ spl2_275,
    inference(avatar_split_clause,[],[f920,f2590]) ).

fof(f2590,plain,
    ( spl2_275
  <=> n29 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_275])]) ).

fof(f920,plain,
    n29 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2588,plain,
    ~ spl2_274,
    inference(avatar_split_clause,[],[f918,f2586]) ).

fof(f2586,plain,
    ( spl2_274
  <=> n6 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_274])]) ).

fof(f918,plain,
    n6 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2584,plain,
    ~ spl2_273,
    inference(avatar_split_clause,[],[f915,f2582]) ).

fof(f2582,plain,
    ( spl2_273
  <=> n19 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_273])]) ).

fof(f915,plain,
    n19 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2580,plain,
    ~ spl2_272,
    inference(avatar_split_clause,[],[f914,f2578]) ).

fof(f2578,plain,
    ( spl2_272
  <=> n6 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_272])]) ).

fof(f914,plain,
    n6 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2576,plain,
    ~ spl2_271,
    inference(avatar_split_clause,[],[f912,f2574]) ).

fof(f2574,plain,
    ( spl2_271
  <=> n5 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_271])]) ).

fof(f912,plain,
    n5 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2572,plain,
    ~ spl2_270,
    inference(avatar_split_clause,[],[f911,f2570]) ).

fof(f2570,plain,
    ( spl2_270
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_270])]) ).

fof(f911,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f2568,plain,
    ~ spl2_269,
    inference(avatar_split_clause,[],[f906,f2566]) ).

fof(f2566,plain,
    ( spl2_269
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_269])]) ).

fof(f906,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2564,plain,
    ~ spl2_268,
    inference(avatar_split_clause,[],[f904,f2562]) ).

fof(f2562,plain,
    ( spl2_268
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_268])]) ).

fof(f904,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2560,plain,
    ~ spl2_267,
    inference(avatar_split_clause,[],[f902,f2558]) ).

fof(f2558,plain,
    ( spl2_267
  <=> n17 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_267])]) ).

fof(f902,plain,
    n17 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2556,plain,
    ~ spl2_266,
    inference(avatar_split_clause,[],[f899,f2554]) ).

fof(f2554,plain,
    ( spl2_266
  <=> n20 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_266])]) ).

fof(f899,plain,
    n20 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2552,plain,
    ~ spl2_265,
    inference(avatar_split_clause,[],[f893,f2550]) ).

fof(f2550,plain,
    ( spl2_265
  <=> n11 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_265])]) ).

fof(f893,plain,
    n11 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2548,plain,
    ~ spl2_264,
    inference(avatar_split_clause,[],[f888,f2546]) ).

fof(f2546,plain,
    ( spl2_264
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_264])]) ).

fof(f888,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2544,plain,
    ~ spl2_263,
    inference(avatar_split_clause,[],[f887,f2542]) ).

fof(f2542,plain,
    ( spl2_263
  <=> n2 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_263])]) ).

fof(f887,plain,
    n2 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2540,plain,
    ~ spl2_262,
    inference(avatar_split_clause,[],[f886,f2538]) ).

fof(f2538,plain,
    ( spl2_262
  <=> n15 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_262])]) ).

fof(f886,plain,
    n15 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2536,plain,
    ~ spl2_261,
    inference(avatar_split_clause,[],[f882,f2534]) ).

fof(f2534,plain,
    ( spl2_261
  <=> n16 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_261])]) ).

fof(f882,plain,
    n16 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2532,plain,
    ~ spl2_260,
    inference(avatar_split_clause,[],[f881,f2530]) ).

fof(f2530,plain,
    ( spl2_260
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_260])]) ).

fof(f881,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f2528,plain,
    ~ spl2_259,
    inference(avatar_split_clause,[],[f876,f2526]) ).

fof(f2526,plain,
    ( spl2_259
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_259])]) ).

fof(f876,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f2524,plain,
    ~ spl2_258,
    inference(avatar_split_clause,[],[f875,f2522]) ).

fof(f2522,plain,
    ( spl2_258
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_258])]) ).

fof(f875,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f2520,plain,
    ~ spl2_257,
    inference(avatar_split_clause,[],[f874,f2518]) ).

fof(f2518,plain,
    ( spl2_257
  <=> n13 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_257])]) ).

fof(f874,plain,
    n13 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2516,plain,
    ~ spl2_256,
    inference(avatar_split_clause,[],[f873,f2514]) ).

fof(f2514,plain,
    ( spl2_256
  <=> n6 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_256])]) ).

fof(f873,plain,
    n6 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2512,plain,
    ~ spl2_255,
    inference(avatar_split_clause,[],[f868,f2510]) ).

fof(f2510,plain,
    ( spl2_255
  <=> n16 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_255])]) ).

fof(f868,plain,
    n16 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2508,plain,
    ~ spl2_254,
    inference(avatar_split_clause,[],[f867,f2506]) ).

fof(f2506,plain,
    ( spl2_254
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_254])]) ).

fof(f867,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2504,plain,
    ~ spl2_253,
    inference(avatar_split_clause,[],[f858,f2502]) ).

fof(f2502,plain,
    ( spl2_253
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_253])]) ).

fof(f858,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f2500,plain,
    ~ spl2_252,
    inference(avatar_split_clause,[],[f856,f2498]) ).

fof(f2498,plain,
    ( spl2_252
  <=> n18 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_252])]) ).

fof(f856,plain,
    n18 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2496,plain,
    ~ spl2_251,
    inference(avatar_split_clause,[],[f854,f2494]) ).

fof(f2494,plain,
    ( spl2_251
  <=> n24 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_251])]) ).

fof(f854,plain,
    n24 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2492,plain,
    ~ spl2_250,
    inference(avatar_split_clause,[],[f852,f2490]) ).

fof(f2490,plain,
    ( spl2_250
  <=> n1 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_250])]) ).

fof(f852,plain,
    n1 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2488,plain,
    ~ spl2_249,
    inference(avatar_split_clause,[],[f848,f2486]) ).

fof(f2486,plain,
    ( spl2_249
  <=> n17 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_249])]) ).

fof(f848,plain,
    n17 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2484,plain,
    ~ spl2_248,
    inference(avatar_split_clause,[],[f843,f2482]) ).

fof(f2482,plain,
    ( spl2_248
  <=> n0 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_248])]) ).

fof(f843,plain,
    n0 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2480,plain,
    ~ spl2_247,
    inference(avatar_split_clause,[],[f841,f2478]) ).

fof(f2478,plain,
    ( spl2_247
  <=> n14 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_247])]) ).

fof(f841,plain,
    n14 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2476,plain,
    ~ spl2_246,
    inference(avatar_split_clause,[],[f838,f2474]) ).

fof(f2474,plain,
    ( spl2_246
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_246])]) ).

fof(f838,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f1]) ).

fof(f2472,plain,
    ~ spl2_245,
    inference(avatar_split_clause,[],[f830,f2470]) ).

fof(f2470,plain,
    ( spl2_245
  <=> n7 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_245])]) ).

fof(f830,plain,
    n7 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2468,plain,
    ~ spl2_244,
    inference(avatar_split_clause,[],[f829,f2466]) ).

fof(f2466,plain,
    ( spl2_244
  <=> n9 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_244])]) ).

fof(f829,plain,
    n9 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2464,plain,
    ~ spl2_243,
    inference(avatar_split_clause,[],[f826,f2462]) ).

fof(f2462,plain,
    ( spl2_243
  <=> n21 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_243])]) ).

fof(f826,plain,
    n21 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2460,plain,
    ~ spl2_242,
    inference(avatar_split_clause,[],[f819,f2458]) ).

fof(f2458,plain,
    ( spl2_242
  <=> n9 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_242])]) ).

fof(f819,plain,
    n9 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2456,plain,
    ~ spl2_241,
    inference(avatar_split_clause,[],[f817,f2454]) ).

fof(f2454,plain,
    ( spl2_241
  <=> n16 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_241])]) ).

fof(f817,plain,
    n16 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2452,plain,
    ~ spl2_240,
    inference(avatar_split_clause,[],[f816,f2450]) ).

fof(f2450,plain,
    ( spl2_240
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_240])]) ).

fof(f816,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f2448,plain,
    ~ spl2_239,
    inference(avatar_split_clause,[],[f813,f2446]) ).

fof(f2446,plain,
    ( spl2_239
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_239])]) ).

fof(f813,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f2444,plain,
    ~ spl2_238,
    inference(avatar_split_clause,[],[f812,f2442]) ).

fof(f2442,plain,
    ( spl2_238
  <=> n9 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_238])]) ).

fof(f812,plain,
    n9 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2440,plain,
    ~ spl2_237,
    inference(avatar_split_clause,[],[f807,f2438]) ).

fof(f2438,plain,
    ( spl2_237
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_237])]) ).

fof(f807,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2436,plain,
    ~ spl2_236,
    inference(avatar_split_clause,[],[f806,f2434]) ).

fof(f2434,plain,
    ( spl2_236
  <=> n8 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_236])]) ).

fof(f806,plain,
    n8 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2432,plain,
    ~ spl2_235,
    inference(avatar_split_clause,[],[f805,f2430]) ).

fof(f2430,plain,
    ( spl2_235
  <=> n10 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_235])]) ).

fof(f805,plain,
    n10 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2428,plain,
    ~ spl2_234,
    inference(avatar_split_clause,[],[f802,f2426]) ).

fof(f2426,plain,
    ( spl2_234
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_234])]) ).

fof(f802,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2424,plain,
    ~ spl2_233,
    inference(avatar_split_clause,[],[f799,f2422]) ).

fof(f2422,plain,
    ( spl2_233
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_233])]) ).

fof(f799,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f1]) ).

fof(f2420,plain,
    ~ spl2_232,
    inference(avatar_split_clause,[],[f798,f2418]) ).

fof(f2418,plain,
    ( spl2_232
  <=> n14 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_232])]) ).

fof(f798,plain,
    n14 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2416,plain,
    ~ spl2_231,
    inference(avatar_split_clause,[],[f796,f2414]) ).

fof(f2414,plain,
    ( spl2_231
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_231])]) ).

fof(f796,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f1]) ).

fof(f2412,plain,
    ~ spl2_230,
    inference(avatar_split_clause,[],[f793,f2410]) ).

fof(f2410,plain,
    ( spl2_230
  <=> n1 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_230])]) ).

fof(f793,plain,
    n1 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2408,plain,
    ~ spl2_229,
    inference(avatar_split_clause,[],[f790,f2406]) ).

fof(f2406,plain,
    ( spl2_229
  <=> n14 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_229])]) ).

fof(f790,plain,
    n14 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2404,plain,
    ~ spl2_228,
    inference(avatar_split_clause,[],[f778,f2402]) ).

fof(f2402,plain,
    ( spl2_228
  <=> n17 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_228])]) ).

fof(f778,plain,
    n17 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2400,plain,
    ~ spl2_227,
    inference(avatar_split_clause,[],[f773,f2398]) ).

fof(f2398,plain,
    ( spl2_227
  <=> n11 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_227])]) ).

fof(f773,plain,
    n11 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2396,plain,
    ~ spl2_226,
    inference(avatar_split_clause,[],[f772,f2394]) ).

fof(f2394,plain,
    ( spl2_226
  <=> n11 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_226])]) ).

fof(f772,plain,
    n11 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2392,plain,
    ~ spl2_225,
    inference(avatar_split_clause,[],[f770,f2390]) ).

fof(f2390,plain,
    ( spl2_225
  <=> n8 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_225])]) ).

fof(f770,plain,
    n8 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2388,plain,
    ~ spl2_224,
    inference(avatar_split_clause,[],[f765,f2386]) ).

fof(f2386,plain,
    ( spl2_224
  <=> n18 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_224])]) ).

fof(f765,plain,
    n18 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2384,plain,
    ~ spl2_223,
    inference(avatar_split_clause,[],[f759,f2382]) ).

fof(f2382,plain,
    ( spl2_223
  <=> n0 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_223])]) ).

fof(f759,plain,
    n0 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2380,plain,
    ~ spl2_222,
    inference(avatar_split_clause,[],[f757,f2378]) ).

fof(f2378,plain,
    ( spl2_222
  <=> n19 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_222])]) ).

fof(f757,plain,
    n19 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2376,plain,
    ~ spl2_221,
    inference(avatar_split_clause,[],[f754,f2374]) ).

fof(f2374,plain,
    ( spl2_221
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_221])]) ).

fof(f754,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2372,plain,
    ~ spl2_220,
    inference(avatar_split_clause,[],[f751,f2370]) ).

fof(f2370,plain,
    ( spl2_220
  <=> n12 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_220])]) ).

fof(f751,plain,
    n12 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2368,plain,
    ~ spl2_219,
    inference(avatar_split_clause,[],[f742,f2366]) ).

fof(f2366,plain,
    ( spl2_219
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_219])]) ).

fof(f742,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f2364,plain,
    ~ spl2_218,
    inference(avatar_split_clause,[],[f741,f2362]) ).

fof(f2362,plain,
    ( spl2_218
  <=> n22 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_218])]) ).

fof(f741,plain,
    n22 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2360,plain,
    ~ spl2_217,
    inference(avatar_split_clause,[],[f739,f2358]) ).

fof(f2358,plain,
    ( spl2_217
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_217])]) ).

fof(f739,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f2356,plain,
    ~ spl2_216,
    inference(avatar_split_clause,[],[f736,f2354]) ).

fof(f2354,plain,
    ( spl2_216
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_216])]) ).

fof(f736,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f2352,plain,
    ~ spl2_215,
    inference(avatar_split_clause,[],[f730,f2350]) ).

fof(f2350,plain,
    ( spl2_215
  <=> n22 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_215])]) ).

fof(f730,plain,
    n22 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2348,plain,
    ~ spl2_214,
    inference(avatar_split_clause,[],[f728,f2346]) ).

fof(f2346,plain,
    ( spl2_214
  <=> n28 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_214])]) ).

fof(f728,plain,
    n28 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2344,plain,
    ~ spl2_213,
    inference(avatar_split_clause,[],[f726,f2342]) ).

fof(f2342,plain,
    ( spl2_213
  <=> n4 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_213])]) ).

fof(f726,plain,
    n4 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2340,plain,
    ~ spl2_212,
    inference(avatar_split_clause,[],[f723,f2338]) ).

fof(f2338,plain,
    ( spl2_212
  <=> n10 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_212])]) ).

fof(f723,plain,
    n10 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2336,plain,
    ~ spl2_211,
    inference(avatar_split_clause,[],[f715,f2334]) ).

fof(f2334,plain,
    ( spl2_211
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_211])]) ).

fof(f715,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2332,plain,
    ~ spl2_210,
    inference(avatar_split_clause,[],[f711,f2330]) ).

fof(f2330,plain,
    ( spl2_210
  <=> n22 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_210])]) ).

fof(f711,plain,
    n22 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2328,plain,
    ~ spl2_209,
    inference(avatar_split_clause,[],[f710,f2326]) ).

fof(f2326,plain,
    ( spl2_209
  <=> n7 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_209])]) ).

fof(f710,plain,
    n7 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2324,plain,
    ~ spl2_208,
    inference(avatar_split_clause,[],[f709,f2322]) ).

fof(f2322,plain,
    ( spl2_208
  <=> n15 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_208])]) ).

fof(f709,plain,
    n15 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2320,plain,
    ~ spl2_207,
    inference(avatar_split_clause,[],[f703,f2318]) ).

fof(f2318,plain,
    ( spl2_207
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_207])]) ).

fof(f703,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f1]) ).

fof(f2316,plain,
    ~ spl2_206,
    inference(avatar_split_clause,[],[f701,f2314]) ).

fof(f2314,plain,
    ( spl2_206
  <=> n14 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_206])]) ).

fof(f701,plain,
    n14 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2312,plain,
    ~ spl2_205,
    inference(avatar_split_clause,[],[f697,f2310]) ).

fof(f2310,plain,
    ( spl2_205
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_205])]) ).

fof(f697,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2308,plain,
    ~ spl2_204,
    inference(avatar_split_clause,[],[f696,f2306]) ).

fof(f2306,plain,
    ( spl2_204
  <=> n14 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_204])]) ).

fof(f696,plain,
    n14 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2304,plain,
    ~ spl2_203,
    inference(avatar_split_clause,[],[f695,f2302]) ).

fof(f2302,plain,
    ( spl2_203
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_203])]) ).

fof(f695,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2300,plain,
    ~ spl2_202,
    inference(avatar_split_clause,[],[f694,f2298]) ).

fof(f2298,plain,
    ( spl2_202
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_202])]) ).

fof(f694,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2296,plain,
    ~ spl2_201,
    inference(avatar_split_clause,[],[f693,f2294]) ).

fof(f2294,plain,
    ( spl2_201
  <=> n10 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_201])]) ).

fof(f693,plain,
    n10 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2292,plain,
    ~ spl2_200,
    inference(avatar_split_clause,[],[f686,f2290]) ).

fof(f2290,plain,
    ( spl2_200
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_200])]) ).

fof(f686,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f2288,plain,
    ~ spl2_199,
    inference(avatar_split_clause,[],[f674,f2286]) ).

fof(f2286,plain,
    ( spl2_199
  <=> n17 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_199])]) ).

fof(f674,plain,
    n17 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2284,plain,
    ~ spl2_198,
    inference(avatar_split_clause,[],[f670,f2282]) ).

fof(f2282,plain,
    ( spl2_198
  <=> n24 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_198])]) ).

fof(f670,plain,
    n24 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2280,plain,
    ~ spl2_197,
    inference(avatar_split_clause,[],[f668,f2278]) ).

fof(f2278,plain,
    ( spl2_197
  <=> n11 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_197])]) ).

fof(f668,plain,
    n11 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2276,plain,
    ~ spl2_196,
    inference(avatar_split_clause,[],[f667,f2274]) ).

fof(f2274,plain,
    ( spl2_196
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_196])]) ).

fof(f667,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f2272,plain,
    ~ spl2_195,
    inference(avatar_split_clause,[],[f666,f2270]) ).

fof(f2270,plain,
    ( spl2_195
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_195])]) ).

fof(f666,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f2268,plain,
    ~ spl2_194,
    inference(avatar_split_clause,[],[f664,f2266]) ).

fof(f2266,plain,
    ( spl2_194
  <=> n3 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_194])]) ).

fof(f664,plain,
    n3 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2264,plain,
    ~ spl2_193,
    inference(avatar_split_clause,[],[f663,f2262]) ).

fof(f2262,plain,
    ( spl2_193
  <=> n8 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_193])]) ).

fof(f663,plain,
    n8 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2260,plain,
    ~ spl2_192,
    inference(avatar_split_clause,[],[f661,f2258]) ).

fof(f2258,plain,
    ( spl2_192
  <=> n25 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_192])]) ).

fof(f661,plain,
    n25 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2256,plain,
    ~ spl2_191,
    inference(avatar_split_clause,[],[f657,f2254]) ).

fof(f2254,plain,
    ( spl2_191
  <=> n19 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_191])]) ).

fof(f657,plain,
    n19 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2252,plain,
    ~ spl2_190,
    inference(avatar_split_clause,[],[f656,f2250]) ).

fof(f2250,plain,
    ( spl2_190
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_190])]) ).

fof(f656,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f2248,plain,
    ~ spl2_189,
    inference(avatar_split_clause,[],[f654,f2246]) ).

fof(f2246,plain,
    ( spl2_189
  <=> n6 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_189])]) ).

fof(f654,plain,
    n6 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2244,plain,
    ~ spl2_188,
    inference(avatar_split_clause,[],[f652,f2242]) ).

fof(f2242,plain,
    ( spl2_188
  <=> n9 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_188])]) ).

fof(f652,plain,
    n9 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2240,plain,
    ~ spl2_187,
    inference(avatar_split_clause,[],[f651,f2238]) ).

fof(f2238,plain,
    ( spl2_187
  <=> n9 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_187])]) ).

fof(f651,plain,
    n9 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2236,plain,
    ~ spl2_186,
    inference(avatar_split_clause,[],[f650,f2234]) ).

fof(f2234,plain,
    ( spl2_186
  <=> n14 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_186])]) ).

fof(f650,plain,
    n14 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2232,plain,
    ~ spl2_185,
    inference(avatar_split_clause,[],[f646,f2230]) ).

fof(f2230,plain,
    ( spl2_185
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_185])]) ).

fof(f646,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2228,plain,
    ~ spl2_184,
    inference(avatar_split_clause,[],[f637,f2226]) ).

fof(f2226,plain,
    ( spl2_184
  <=> n20 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_184])]) ).

fof(f637,plain,
    n20 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2224,plain,
    ~ spl2_183,
    inference(avatar_split_clause,[],[f636,f2222]) ).

fof(f2222,plain,
    ( spl2_183
  <=> n24 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_183])]) ).

fof(f636,plain,
    n24 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2220,plain,
    ~ spl2_182,
    inference(avatar_split_clause,[],[f631,f2218]) ).

fof(f2218,plain,
    ( spl2_182
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_182])]) ).

fof(f631,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f2216,plain,
    ~ spl2_181,
    inference(avatar_split_clause,[],[f630,f2214]) ).

fof(f2214,plain,
    ( spl2_181
  <=> n26 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_181])]) ).

fof(f630,plain,
    n26 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2212,plain,
    ~ spl2_180,
    inference(avatar_split_clause,[],[f625,f2210]) ).

fof(f2210,plain,
    ( spl2_180
  <=> n11 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_180])]) ).

fof(f625,plain,
    n11 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2208,plain,
    ~ spl2_179,
    inference(avatar_split_clause,[],[f621,f2206]) ).

fof(f2206,plain,
    ( spl2_179
  <=> n7 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_179])]) ).

fof(f621,plain,
    n7 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2204,plain,
    ~ spl2_178,
    inference(avatar_split_clause,[],[f617,f2202]) ).

fof(f2202,plain,
    ( spl2_178
  <=> n8 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_178])]) ).

fof(f617,plain,
    n8 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2200,plain,
    ~ spl2_177,
    inference(avatar_split_clause,[],[f614,f2198]) ).

fof(f2198,plain,
    ( spl2_177
  <=> n19 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_177])]) ).

fof(f614,plain,
    n19 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2196,plain,
    ~ spl2_176,
    inference(avatar_split_clause,[],[f613,f2194]) ).

fof(f2194,plain,
    ( spl2_176
  <=> n15 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_176])]) ).

fof(f613,plain,
    n15 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f2192,plain,
    ~ spl2_175,
    inference(avatar_split_clause,[],[f610,f2190]) ).

fof(f2190,plain,
    ( spl2_175
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_175])]) ).

fof(f610,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f2188,plain,
    ~ spl2_174,
    inference(avatar_split_clause,[],[f605,f2186]) ).

fof(f2186,plain,
    ( spl2_174
  <=> n21 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_174])]) ).

fof(f605,plain,
    n21 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2184,plain,
    ~ spl2_173,
    inference(avatar_split_clause,[],[f603,f2182]) ).

fof(f2182,plain,
    ( spl2_173
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_173])]) ).

fof(f603,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f2180,plain,
    ~ spl2_172,
    inference(avatar_split_clause,[],[f598,f2178]) ).

fof(f2178,plain,
    ( spl2_172
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_172])]) ).

fof(f598,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f1]) ).

fof(f2176,plain,
    ~ spl2_171,
    inference(avatar_split_clause,[],[f597,f2174]) ).

fof(f2174,plain,
    ( spl2_171
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_171])]) ).

fof(f597,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2172,plain,
    ~ spl2_170,
    inference(avatar_split_clause,[],[f596,f2170]) ).

fof(f2170,plain,
    ( spl2_170
  <=> n10 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_170])]) ).

fof(f596,plain,
    n10 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2168,plain,
    ~ spl2_169,
    inference(avatar_split_clause,[],[f595,f2166]) ).

fof(f2166,plain,
    ( spl2_169
  <=> n4 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_169])]) ).

fof(f595,plain,
    n4 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2164,plain,
    ~ spl2_168,
    inference(avatar_split_clause,[],[f594,f2162]) ).

fof(f2162,plain,
    ( spl2_168
  <=> n20 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_168])]) ).

fof(f594,plain,
    n20 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2160,plain,
    ~ spl2_167,
    inference(avatar_split_clause,[],[f585,f2158]) ).

fof(f2158,plain,
    ( spl2_167
  <=> n2 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_167])]) ).

fof(f585,plain,
    n2 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2156,plain,
    ~ spl2_166,
    inference(avatar_split_clause,[],[f583,f2154]) ).

fof(f2154,plain,
    ( spl2_166
  <=> n20 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_166])]) ).

fof(f583,plain,
    n20 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f2152,plain,
    ~ spl2_165,
    inference(avatar_split_clause,[],[f573,f2150]) ).

fof(f2150,plain,
    ( spl2_165
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_165])]) ).

fof(f573,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2148,plain,
    ~ spl2_164,
    inference(avatar_split_clause,[],[f571,f2146]) ).

fof(f2146,plain,
    ( spl2_164
  <=> n12 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_164])]) ).

fof(f571,plain,
    n12 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f2144,plain,
    ~ spl2_163,
    inference(avatar_split_clause,[],[f568,f2142]) ).

fof(f2142,plain,
    ( spl2_163
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_163])]) ).

fof(f568,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f2140,plain,
    ~ spl2_162,
    inference(avatar_split_clause,[],[f554,f2138]) ).

fof(f2138,plain,
    ( spl2_162
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_162])]) ).

fof(f554,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2136,plain,
    ~ spl2_161,
    inference(avatar_split_clause,[],[f550,f2134]) ).

fof(f2134,plain,
    ( spl2_161
  <=> n11 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_161])]) ).

fof(f550,plain,
    n11 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2132,plain,
    ~ spl2_160,
    inference(avatar_split_clause,[],[f547,f2130]) ).

fof(f2130,plain,
    ( spl2_160
  <=> n18 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_160])]) ).

fof(f547,plain,
    n18 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f2128,plain,
    ~ spl2_159,
    inference(avatar_split_clause,[],[f544,f2126]) ).

fof(f2126,plain,
    ( spl2_159
  <=> n16 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_159])]) ).

fof(f544,plain,
    n16 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f2124,plain,
    ~ spl2_158,
    inference(avatar_split_clause,[],[f542,f2122]) ).

fof(f2122,plain,
    ( spl2_158
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_158])]) ).

fof(f542,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2120,plain,
    ~ spl2_157,
    inference(avatar_split_clause,[],[f540,f2118]) ).

fof(f2118,plain,
    ( spl2_157
  <=> n2 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_157])]) ).

fof(f540,plain,
    n2 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2116,plain,
    ~ spl2_156,
    inference(avatar_split_clause,[],[f538,f2114]) ).

fof(f2114,plain,
    ( spl2_156
  <=> n16 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_156])]) ).

fof(f538,plain,
    n16 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2112,plain,
    ~ spl2_155,
    inference(avatar_split_clause,[],[f534,f2110]) ).

fof(f2110,plain,
    ( spl2_155
  <=> n21 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_155])]) ).

fof(f534,plain,
    n21 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f2108,plain,
    ~ spl2_154,
    inference(avatar_split_clause,[],[f531,f2106]) ).

fof(f2106,plain,
    ( spl2_154
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_154])]) ).

fof(f531,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2104,plain,
    ~ spl2_153,
    inference(avatar_split_clause,[],[f526,f2102]) ).

fof(f2102,plain,
    ( spl2_153
  <=> n3 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_153])]) ).

fof(f526,plain,
    n3 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2100,plain,
    ~ spl2_152,
    inference(avatar_split_clause,[],[f523,f2098]) ).

fof(f2098,plain,
    ( spl2_152
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_152])]) ).

fof(f523,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2096,plain,
    ~ spl2_151,
    inference(avatar_split_clause,[],[f520,f2094]) ).

fof(f2094,plain,
    ( spl2_151
  <=> n2 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_151])]) ).

fof(f520,plain,
    n2 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2092,plain,
    ~ spl2_150,
    inference(avatar_split_clause,[],[f519,f2090]) ).

fof(f2090,plain,
    ( spl2_150
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_150])]) ).

fof(f519,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f2088,plain,
    ~ spl2_149,
    inference(avatar_split_clause,[],[f517,f2086]) ).

fof(f2086,plain,
    ( spl2_149
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_149])]) ).

fof(f517,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f1]) ).

fof(f2084,plain,
    ~ spl2_148,
    inference(avatar_split_clause,[],[f515,f2082]) ).

fof(f2082,plain,
    ( spl2_148
  <=> n1 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_148])]) ).

fof(f515,plain,
    n1 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2080,plain,
    ~ spl2_147,
    inference(avatar_split_clause,[],[f509,f2078]) ).

fof(f2078,plain,
    ( spl2_147
  <=> n8 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_147])]) ).

fof(f509,plain,
    n8 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f2076,plain,
    ~ spl2_146,
    inference(avatar_split_clause,[],[f508,f2074]) ).

fof(f2074,plain,
    ( spl2_146
  <=> n26 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_146])]) ).

fof(f508,plain,
    n26 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f2072,plain,
    ~ spl2_145,
    inference(avatar_split_clause,[],[f507,f2070]) ).

fof(f2070,plain,
    ( spl2_145
  <=> n10 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_145])]) ).

fof(f507,plain,
    n10 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2068,plain,
    ~ spl2_144,
    inference(avatar_split_clause,[],[f498,f2066]) ).

fof(f2066,plain,
    ( spl2_144
  <=> n10 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_144])]) ).

fof(f498,plain,
    n10 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2064,plain,
    ~ spl2_143,
    inference(avatar_split_clause,[],[f494,f2062]) ).

fof(f2062,plain,
    ( spl2_143
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_143])]) ).

fof(f494,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f2060,plain,
    ~ spl2_142,
    inference(avatar_split_clause,[],[f488,f2058]) ).

fof(f2058,plain,
    ( spl2_142
  <=> n19 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_142])]) ).

fof(f488,plain,
    n19 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2056,plain,
    ~ spl2_141,
    inference(avatar_split_clause,[],[f483,f2054]) ).

fof(f2054,plain,
    ( spl2_141
  <=> n14 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_141])]) ).

fof(f483,plain,
    n14 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2052,plain,
    ~ spl2_140,
    inference(avatar_split_clause,[],[f481,f2050]) ).

fof(f2050,plain,
    ( spl2_140
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_140])]) ).

fof(f481,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2048,plain,
    ~ spl2_139,
    inference(avatar_split_clause,[],[f478,f2046]) ).

fof(f2046,plain,
    ( spl2_139
  <=> n2 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_139])]) ).

fof(f478,plain,
    n2 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2044,plain,
    ~ spl2_138,
    inference(avatar_split_clause,[],[f477,f2042]) ).

fof(f2042,plain,
    ( spl2_138
  <=> n9 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_138])]) ).

fof(f477,plain,
    n9 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2040,plain,
    ~ spl2_137,
    inference(avatar_split_clause,[],[f471,f2038]) ).

fof(f2038,plain,
    ( spl2_137
  <=> n12 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_137])]) ).

fof(f471,plain,
    n12 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f2036,plain,
    ~ spl2_136,
    inference(avatar_split_clause,[],[f464,f2034]) ).

fof(f2034,plain,
    ( spl2_136
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_136])]) ).

fof(f464,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f1]) ).

fof(f2032,plain,
    ~ spl2_135,
    inference(avatar_split_clause,[],[f460,f2030]) ).

fof(f2030,plain,
    ( spl2_135
  <=> n16 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_135])]) ).

fof(f460,plain,
    n16 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f2028,plain,
    ~ spl2_134,
    inference(avatar_split_clause,[],[f458,f2026]) ).

fof(f2026,plain,
    ( spl2_134
  <=> n5 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_134])]) ).

fof(f458,plain,
    n5 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f2024,plain,
    ~ spl2_133,
    inference(avatar_split_clause,[],[f454,f2022]) ).

fof(f2022,plain,
    ( spl2_133
  <=> n14 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_133])]) ).

fof(f454,plain,
    n14 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f2020,plain,
    ~ spl2_132,
    inference(avatar_split_clause,[],[f453,f2018]) ).

fof(f2018,plain,
    ( spl2_132
  <=> n9 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_132])]) ).

fof(f453,plain,
    n9 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f2016,plain,
    ~ spl2_131,
    inference(avatar_split_clause,[],[f450,f2014]) ).

fof(f2014,plain,
    ( spl2_131
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_131])]) ).

fof(f450,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f2012,plain,
    ~ spl2_130,
    inference(avatar_split_clause,[],[f448,f2010]) ).

fof(f2010,plain,
    ( spl2_130
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_130])]) ).

fof(f448,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2008,plain,
    ~ spl2_129,
    inference(avatar_split_clause,[],[f444,f2006]) ).

fof(f2006,plain,
    ( spl2_129
  <=> n6 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_129])]) ).

fof(f444,plain,
    n6 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f2004,plain,
    ~ spl2_128,
    inference(avatar_split_clause,[],[f443,f2002]) ).

fof(f2002,plain,
    ( spl2_128
  <=> n3 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_128])]) ).

fof(f443,plain,
    n3 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f2000,plain,
    ~ spl2_127,
    inference(avatar_split_clause,[],[f442,f1998]) ).

fof(f1998,plain,
    ( spl2_127
  <=> n5 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_127])]) ).

fof(f442,plain,
    n5 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1996,plain,
    ~ spl2_126,
    inference(avatar_split_clause,[],[f437,f1994]) ).

fof(f1994,plain,
    ( spl2_126
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_126])]) ).

fof(f437,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f1992,plain,
    ~ spl2_125,
    inference(avatar_split_clause,[],[f436,f1990]) ).

fof(f1990,plain,
    ( spl2_125
  <=> n22 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_125])]) ).

fof(f436,plain,
    n22 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1988,plain,
    ~ spl2_124,
    inference(avatar_split_clause,[],[f432,f1986]) ).

fof(f1986,plain,
    ( spl2_124
  <=> n19 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_124])]) ).

fof(f432,plain,
    n19 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1984,plain,
    ~ spl2_123,
    inference(avatar_split_clause,[],[f424,f1982]) ).

fof(f1982,plain,
    ( spl2_123
  <=> n16 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_123])]) ).

fof(f424,plain,
    n16 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f1980,plain,
    ~ spl2_122,
    inference(avatar_split_clause,[],[f420,f1978]) ).

fof(f1978,plain,
    ( spl2_122
  <=> n11 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_122])]) ).

fof(f420,plain,
    n11 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f1976,plain,
    ~ spl2_121,
    inference(avatar_split_clause,[],[f419,f1974]) ).

fof(f1974,plain,
    ( spl2_121
  <=> n7 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_121])]) ).

fof(f419,plain,
    n7 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1972,plain,
    ~ spl2_120,
    inference(avatar_split_clause,[],[f418,f1970]) ).

fof(f1970,plain,
    ( spl2_120
  <=> n13 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_120])]) ).

fof(f418,plain,
    n13 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f1968,plain,
    ~ spl2_119,
    inference(avatar_split_clause,[],[f414,f1966]) ).

fof(f1966,plain,
    ( spl2_119
  <=> n13 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_119])]) ).

fof(f414,plain,
    n13 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1964,plain,
    ~ spl2_118,
    inference(avatar_split_clause,[],[f413,f1962]) ).

fof(f1962,plain,
    ( spl2_118
  <=> n9 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_118])]) ).

fof(f413,plain,
    n9 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f1960,plain,
    ~ spl2_117,
    inference(avatar_split_clause,[],[f406,f1958]) ).

fof(f1958,plain,
    ( spl2_117
  <=> n9 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_117])]) ).

fof(f406,plain,
    n9 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f1956,plain,
    ~ spl2_116,
    inference(avatar_split_clause,[],[f401,f1954]) ).

fof(f1954,plain,
    ( spl2_116
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_116])]) ).

fof(f401,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f1952,plain,
    ~ spl2_115,
    inference(avatar_split_clause,[],[f398,f1950]) ).

fof(f1950,plain,
    ( spl2_115
  <=> n25 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_115])]) ).

fof(f398,plain,
    n25 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1948,plain,
    ~ spl2_114,
    inference(avatar_split_clause,[],[f396,f1946]) ).

fof(f1946,plain,
    ( spl2_114
  <=> n17 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_114])]) ).

fof(f396,plain,
    n17 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1944,plain,
    ~ spl2_113,
    inference(avatar_split_clause,[],[f386,f1942]) ).

fof(f1942,plain,
    ( spl2_113
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_113])]) ).

fof(f386,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f1]) ).

fof(f1940,plain,
    ~ spl2_112,
    inference(avatar_split_clause,[],[f384,f1938]) ).

fof(f1938,plain,
    ( spl2_112
  <=> n15 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_112])]) ).

fof(f384,plain,
    n15 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1936,plain,
    ~ spl2_111,
    inference(avatar_split_clause,[],[f379,f1934]) ).

fof(f1934,plain,
    ( spl2_111
  <=> n23 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_111])]) ).

fof(f379,plain,
    n23 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1932,plain,
    ~ spl2_110,
    inference(avatar_split_clause,[],[f377,f1930]) ).

fof(f1930,plain,
    ( spl2_110
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_110])]) ).

fof(f377,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f1928,plain,
    ~ spl2_109,
    inference(avatar_split_clause,[],[f369,f1926]) ).

fof(f1926,plain,
    ( spl2_109
  <=> n3 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_109])]) ).

fof(f369,plain,
    n3 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1924,plain,
    ~ spl2_108,
    inference(avatar_split_clause,[],[f367,f1922]) ).

fof(f1922,plain,
    ( spl2_108
  <=> n3 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_108])]) ).

fof(f367,plain,
    n3 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1920,plain,
    ~ spl2_107,
    inference(avatar_split_clause,[],[f362,f1918]) ).

fof(f1918,plain,
    ( spl2_107
  <=> n19 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_107])]) ).

fof(f362,plain,
    n19 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1916,plain,
    ~ spl2_106,
    inference(avatar_split_clause,[],[f361,f1914]) ).

fof(f1914,plain,
    ( spl2_106
  <=> n0 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_106])]) ).

fof(f361,plain,
    n0 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f1912,plain,
    ~ spl2_105,
    inference(avatar_split_clause,[],[f360,f1910]) ).

fof(f1910,plain,
    ( spl2_105
  <=> n27 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_105])]) ).

fof(f360,plain,
    n27 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f1908,plain,
    ~ spl2_104,
    inference(avatar_split_clause,[],[f359,f1906]) ).

fof(f1906,plain,
    ( spl2_104
  <=> n2 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_104])]) ).

fof(f359,plain,
    n2 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1904,plain,
    ~ spl2_103,
    inference(avatar_split_clause,[],[f357,f1902]) ).

fof(f1902,plain,
    ( spl2_103
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_103])]) ).

fof(f357,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f1900,plain,
    ~ spl2_102,
    inference(avatar_split_clause,[],[f353,f1898]) ).

fof(f1898,plain,
    ( spl2_102
  <=> n17 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_102])]) ).

fof(f353,plain,
    n17 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f1896,plain,
    ~ spl2_101,
    inference(avatar_split_clause,[],[f348,f1894]) ).

fof(f1894,plain,
    ( spl2_101
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_101])]) ).

fof(f348,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f1892,plain,
    ~ spl2_100,
    inference(avatar_split_clause,[],[f346,f1890]) ).

fof(f1890,plain,
    ( spl2_100
  <=> n25 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_100])]) ).

fof(f346,plain,
    n25 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f1888,plain,
    ~ spl2_99,
    inference(avatar_split_clause,[],[f341,f1886]) ).

fof(f1886,plain,
    ( spl2_99
  <=> n18 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_99])]) ).

fof(f341,plain,
    n18 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1884,plain,
    ~ spl2_98,
    inference(avatar_split_clause,[],[f332,f1882]) ).

fof(f1882,plain,
    ( spl2_98
  <=> n6 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_98])]) ).

fof(f332,plain,
    n6 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1880,plain,
    ~ spl2_97,
    inference(avatar_split_clause,[],[f327,f1878]) ).

fof(f1878,plain,
    ( spl2_97
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_97])]) ).

fof(f327,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f1876,plain,
    ~ spl2_96,
    inference(avatar_split_clause,[],[f325,f1874]) ).

fof(f1874,plain,
    ( spl2_96
  <=> n1 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_96])]) ).

fof(f325,plain,
    n1 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f1872,plain,
    ~ spl2_95,
    inference(avatar_split_clause,[],[f324,f1870]) ).

fof(f1870,plain,
    ( spl2_95
  <=> n5 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_95])]) ).

fof(f324,plain,
    n5 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f1868,plain,
    ~ spl2_94,
    inference(avatar_split_clause,[],[f322,f1866]) ).

fof(f1866,plain,
    ( spl2_94
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_94])]) ).

fof(f322,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f1864,plain,
    ~ spl2_93,
    inference(avatar_split_clause,[],[f321,f1862]) ).

fof(f1862,plain,
    ( spl2_93
  <=> n1 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_93])]) ).

fof(f321,plain,
    n1 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1860,plain,
    ~ spl2_92,
    inference(avatar_split_clause,[],[f319,f1858]) ).

fof(f1858,plain,
    ( spl2_92
  <=> n4 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_92])]) ).

fof(f319,plain,
    n4 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1856,plain,
    ~ spl2_91,
    inference(avatar_split_clause,[],[f312,f1854]) ).

fof(f1854,plain,
    ( spl2_91
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_91])]) ).

fof(f312,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f1852,plain,
    ~ spl2_90,
    inference(avatar_split_clause,[],[f311,f1850]) ).

fof(f1850,plain,
    ( spl2_90
  <=> n4 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_90])]) ).

fof(f311,plain,
    n4 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f1848,plain,
    ~ spl2_89,
    inference(avatar_split_clause,[],[f307,f1846]) ).

fof(f1846,plain,
    ( spl2_89
  <=> n2 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_89])]) ).

fof(f307,plain,
    n2 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1844,plain,
    ~ spl2_88,
    inference(avatar_split_clause,[],[f305,f1842]) ).

fof(f1842,plain,
    ( spl2_88
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_88])]) ).

fof(f305,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f1]) ).

fof(f1840,plain,
    ~ spl2_87,
    inference(avatar_split_clause,[],[f302,f1838]) ).

fof(f1838,plain,
    ( spl2_87
  <=> n16 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_87])]) ).

fof(f302,plain,
    n16 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f1836,plain,
    ~ spl2_86,
    inference(avatar_split_clause,[],[f301,f1834]) ).

fof(f1834,plain,
    ( spl2_86
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).

fof(f301,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f1832,plain,
    ~ spl2_85,
    inference(avatar_split_clause,[],[f298,f1830]) ).

fof(f1830,plain,
    ( spl2_85
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_85])]) ).

fof(f298,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f1828,plain,
    ~ spl2_84,
    inference(avatar_split_clause,[],[f294,f1826]) ).

fof(f1826,plain,
    ( spl2_84
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).

fof(f294,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f1]) ).

fof(f1824,plain,
    ~ spl2_83,
    inference(avatar_split_clause,[],[f293,f1822]) ).

fof(f1822,plain,
    ( spl2_83
  <=> n0 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_83])]) ).

fof(f293,plain,
    n0 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1820,plain,
    ~ spl2_82,
    inference(avatar_split_clause,[],[f288,f1818]) ).

fof(f1818,plain,
    ( spl2_82
  <=> n5 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_82])]) ).

fof(f288,plain,
    n5 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1816,plain,
    ~ spl2_81,
    inference(avatar_split_clause,[],[f285,f1814]) ).

fof(f1814,plain,
    ( spl2_81
  <=> n13 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f285,plain,
    n13 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1812,plain,
    ~ spl2_80,
    inference(avatar_split_clause,[],[f283,f1810]) ).

fof(f1810,plain,
    ( spl2_80
  <=> n6 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_80])]) ).

fof(f283,plain,
    n6 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f1808,plain,
    ~ spl2_79,
    inference(avatar_split_clause,[],[f282,f1806]) ).

fof(f1806,plain,
    ( spl2_79
  <=> n5 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_79])]) ).

fof(f282,plain,
    n5 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1804,plain,
    ~ spl2_78,
    inference(avatar_split_clause,[],[f280,f1802]) ).

fof(f1802,plain,
    ( spl2_78
  <=> n0 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_78])]) ).

fof(f280,plain,
    n0 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f1800,plain,
    ~ spl2_77,
    inference(avatar_split_clause,[],[f276,f1798]) ).

fof(f1798,plain,
    ( spl2_77
  <=> n15 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).

fof(f276,plain,
    n15 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1796,plain,
    ~ spl2_76,
    inference(avatar_split_clause,[],[f274,f1794]) ).

fof(f1794,plain,
    ( spl2_76
  <=> n9 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).

fof(f274,plain,
    n9 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f1792,plain,
    ~ spl2_75,
    inference(avatar_split_clause,[],[f272,f1790]) ).

fof(f1790,plain,
    ( spl2_75
  <=> n10 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).

fof(f272,plain,
    n10 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f1788,plain,
    ~ spl2_74,
    inference(avatar_split_clause,[],[f271,f1786]) ).

fof(f1786,plain,
    ( spl2_74
  <=> n8 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).

fof(f271,plain,
    n8 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1784,plain,
    ~ spl2_73,
    inference(avatar_split_clause,[],[f269,f1782]) ).

fof(f1782,plain,
    ( spl2_73
  <=> n3 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).

fof(f269,plain,
    n3 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f1780,plain,
    ~ spl2_72,
    inference(avatar_split_clause,[],[f265,f1778]) ).

fof(f1778,plain,
    ( spl2_72
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).

fof(f265,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f1]) ).

fof(f1776,plain,
    ~ spl2_71,
    inference(avatar_split_clause,[],[f256,f1774]) ).

fof(f1774,plain,
    ( spl2_71
  <=> n12 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_71])]) ).

fof(f256,plain,
    n12 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1772,plain,
    ~ spl2_70,
    inference(avatar_split_clause,[],[f249,f1770]) ).

fof(f1770,plain,
    ( spl2_70
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).

fof(f249,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f1]) ).

fof(f1768,plain,
    ~ spl2_69,
    inference(avatar_split_clause,[],[f247,f1766]) ).

fof(f1766,plain,
    ( spl2_69
  <=> n14 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f247,plain,
    n14 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f1764,plain,
    ~ spl2_68,
    inference(avatar_split_clause,[],[f244,f1762]) ).

fof(f1762,plain,
    ( spl2_68
  <=> n23 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_68])]) ).

fof(f244,plain,
    n23 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1760,plain,
    ~ spl2_67,
    inference(avatar_split_clause,[],[f238,f1758]) ).

fof(f1758,plain,
    ( spl2_67
  <=> n12 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).

fof(f238,plain,
    n12 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1756,plain,
    ~ spl2_66,
    inference(avatar_split_clause,[],[f233,f1754]) ).

fof(f1754,plain,
    ( spl2_66
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_66])]) ).

fof(f233,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f1]) ).

fof(f1752,plain,
    ~ spl2_65,
    inference(avatar_split_clause,[],[f230,f1750]) ).

fof(f1750,plain,
    ( spl2_65
  <=> n10 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).

fof(f230,plain,
    n10 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1748,plain,
    ~ spl2_64,
    inference(avatar_split_clause,[],[f227,f1746]) ).

fof(f1746,plain,
    ( spl2_64
  <=> n12 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_64])]) ).

fof(f227,plain,
    n12 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1744,plain,
    ~ spl2_63,
    inference(avatar_split_clause,[],[f223,f1742]) ).

fof(f1742,plain,
    ( spl2_63
  <=> n8 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).

fof(f223,plain,
    n8 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1740,plain,
    ~ spl2_62,
    inference(avatar_split_clause,[],[f221,f1738]) ).

fof(f1738,plain,
    ( spl2_62
  <=> n2 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).

fof(f221,plain,
    n2 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1736,plain,
    ~ spl2_61,
    inference(avatar_split_clause,[],[f220,f1734]) ).

fof(f1734,plain,
    ( spl2_61
  <=> n23 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).

fof(f220,plain,
    n23 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1732,plain,
    ~ spl2_60,
    inference(avatar_split_clause,[],[f219,f1730]) ).

fof(f1730,plain,
    ( spl2_60
  <=> n4 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_60])]) ).

fof(f219,plain,
    n4 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1728,plain,
    ~ spl2_59,
    inference(avatar_split_clause,[],[f215,f1726]) ).

fof(f1726,plain,
    ( spl2_59
  <=> n0 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).

fof(f215,plain,
    n0 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1724,plain,
    ~ spl2_58,
    inference(avatar_split_clause,[],[f213,f1722]) ).

fof(f1722,plain,
    ( spl2_58
  <=> n21 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).

fof(f213,plain,
    n21 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1720,plain,
    ~ spl2_57,
    inference(avatar_split_clause,[],[f206,f1718]) ).

fof(f1718,plain,
    ( spl2_57
  <=> n13 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).

fof(f206,plain,
    n13 != n16,
    inference(cnf_transformation,[],[f1]) ).

fof(f1716,plain,
    ~ spl2_56,
    inference(avatar_split_clause,[],[f204,f1714]) ).

fof(f1714,plain,
    ( spl2_56
  <=> n4 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f204,plain,
    n4 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f1712,plain,
    ~ spl2_55,
    inference(avatar_split_clause,[],[f199,f1710]) ).

fof(f1710,plain,
    ( spl2_55
  <=> n1 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).

fof(f199,plain,
    n1 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1708,plain,
    ~ spl2_54,
    inference(avatar_split_clause,[],[f197,f1706]) ).

fof(f1706,plain,
    ( spl2_54
  <=> n8 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).

fof(f197,plain,
    n8 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f1704,plain,
    ~ spl2_53,
    inference(avatar_split_clause,[],[f196,f1702]) ).

fof(f1702,plain,
    ( spl2_53
  <=> n22 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).

fof(f196,plain,
    n22 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f1700,plain,
    ~ spl2_52,
    inference(avatar_split_clause,[],[f195,f1698]) ).

fof(f1698,plain,
    ( spl2_52
  <=> n13 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f195,plain,
    n13 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1696,plain,
    ~ spl2_51,
    inference(avatar_split_clause,[],[f194,f1694]) ).

fof(f1694,plain,
    ( spl2_51
  <=> n21 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).

fof(f194,plain,
    n21 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1692,plain,
    ~ spl2_50,
    inference(avatar_split_clause,[],[f189,f1690]) ).

fof(f1690,plain,
    ( spl2_50
  <=> n3 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).

fof(f189,plain,
    n3 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f1688,plain,
    ~ spl2_49,
    inference(avatar_split_clause,[],[f184,f1686]) ).

fof(f1686,plain,
    ( spl2_49
  <=> n19 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).

fof(f184,plain,
    n19 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1684,plain,
    ~ spl2_48,
    inference(avatar_split_clause,[],[f181,f1682]) ).

fof(f1682,plain,
    ( spl2_48
  <=> n12 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).

fof(f181,plain,
    n12 != n17,
    inference(cnf_transformation,[],[f1]) ).

fof(f1680,plain,
    ~ spl2_47,
    inference(avatar_split_clause,[],[f176,f1678]) ).

fof(f1678,plain,
    ( spl2_47
  <=> n1 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).

fof(f176,plain,
    n1 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1676,plain,
    ~ spl2_46,
    inference(avatar_split_clause,[],[f174,f1674]) ).

fof(f1674,plain,
    ( spl2_46
  <=> n8 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).

fof(f174,plain,
    n8 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1672,plain,
    ~ spl2_45,
    inference(avatar_split_clause,[],[f173,f1670]) ).

fof(f1670,plain,
    ( spl2_45
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).

fof(f173,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f1]) ).

fof(f1668,plain,
    ~ spl2_44,
    inference(avatar_split_clause,[],[f169,f1666]) ).

fof(f1666,plain,
    ( spl2_44
  <=> n15 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).

fof(f169,plain,
    n15 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1664,plain,
    ~ spl2_43,
    inference(avatar_split_clause,[],[f166,f1662]) ).

fof(f1662,plain,
    ( spl2_43
  <=> n8 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f166,plain,
    n8 != n20,
    inference(cnf_transformation,[],[f1]) ).

fof(f1660,plain,
    ~ spl2_42,
    inference(avatar_split_clause,[],[f156,f1658]) ).

fof(f1658,plain,
    ( spl2_42
  <=> n20 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f156,plain,
    n20 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f1656,plain,
    ~ spl2_41,
    inference(avatar_split_clause,[],[f148,f1654]) ).

fof(f1654,plain,
    ( spl2_41
  <=> n13 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f148,plain,
    n13 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1652,plain,
    ~ spl2_40,
    inference(avatar_split_clause,[],[f146,f1650]) ).

fof(f1650,plain,
    ( spl2_40
  <=> n6 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f146,plain,
    n6 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f1648,plain,
    ~ spl2_39,
    inference(avatar_split_clause,[],[f142,f1646]) ).

fof(f1646,plain,
    ( spl2_39
  <=> n14 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f142,plain,
    n14 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1644,plain,
    ~ spl2_38,
    inference(avatar_split_clause,[],[f141,f1642]) ).

fof(f1642,plain,
    ( spl2_38
  <=> n7 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f141,plain,
    n7 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f1640,plain,
    ~ spl2_37,
    inference(avatar_split_clause,[],[f139,f1638]) ).

fof(f1638,plain,
    ( spl2_37
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f139,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f1636,plain,
    ~ spl2_36,
    inference(avatar_split_clause,[],[f136,f1634]) ).

fof(f1634,plain,
    ( spl2_36
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f136,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f1]) ).

fof(f1632,plain,
    ~ spl2_35,
    inference(avatar_split_clause,[],[f135,f1630]) ).

fof(f1630,plain,
    ( spl2_35
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f135,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f1628,plain,
    ~ spl2_34,
    inference(avatar_split_clause,[],[f129,f1626]) ).

fof(f1626,plain,
    ( spl2_34
  <=> n7 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f129,plain,
    n7 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1624,plain,
    ~ spl2_33,
    inference(avatar_split_clause,[],[f124,f1622]) ).

fof(f1622,plain,
    ( spl2_33
  <=> n12 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f124,plain,
    n12 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f1620,plain,
    ~ spl2_32,
    inference(avatar_split_clause,[],[f110,f1618]) ).

fof(f1618,plain,
    ( spl2_32
  <=> n18 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f110,plain,
    n18 != n21,
    inference(cnf_transformation,[],[f1]) ).

fof(f1616,plain,
    ~ spl2_31,
    inference(avatar_split_clause,[],[f108,f1614]) ).

fof(f1614,plain,
    ( spl2_31
  <=> n23 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f108,plain,
    n23 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1612,plain,
    ~ spl2_30,
    inference(avatar_split_clause,[],[f106,f1610]) ).

fof(f1610,plain,
    ( spl2_30
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f106,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f1]) ).

fof(f1608,plain,
    ~ spl2_29,
    inference(avatar_split_clause,[],[f105,f1606]) ).

fof(f1606,plain,
    ( spl2_29
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f105,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f1604,plain,
    ~ spl2_28,
    inference(avatar_split_clause,[],[f101,f1602]) ).

fof(f1602,plain,
    ( spl2_28
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f101,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f1600,plain,
    ~ spl2_27,
    inference(avatar_split_clause,[],[f100,f1598]) ).

fof(f1598,plain,
    ( spl2_27
  <=> n18 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f100,plain,
    n18 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1596,plain,
    ~ spl2_26,
    inference(avatar_split_clause,[],[f97,f1594]) ).

fof(f1594,plain,
    ( spl2_26
  <=> n6 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f97,plain,
    n6 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1592,plain,
    ~ spl2_25,
    inference(avatar_split_clause,[],[f94,f1590]) ).

fof(f1590,plain,
    ( spl2_25
  <=> n6 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f94,plain,
    n6 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f1588,plain,
    ~ spl2_24,
    inference(avatar_split_clause,[],[f89,f1586]) ).

fof(f1586,plain,
    ( spl2_24
  <=> n10 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f89,plain,
    n10 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1584,plain,
    ~ spl2_23,
    inference(avatar_split_clause,[],[f87,f1582]) ).

fof(f1582,plain,
    ( spl2_23
  <=> n16 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f87,plain,
    n16 != n23,
    inference(cnf_transformation,[],[f1]) ).

fof(f1580,plain,
    ~ spl2_22,
    inference(avatar_split_clause,[],[f82,f1578]) ).

fof(f1578,plain,
    ( spl2_22
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f82,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f1576,plain,
    ~ spl2_21,
    inference(avatar_split_clause,[],[f81,f1574]) ).

fof(f1574,plain,
    ( spl2_21
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f81,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f1]) ).

fof(f1572,plain,
    ~ spl2_20,
    inference(avatar_split_clause,[],[f75,f1570]) ).

fof(f1570,plain,
    ( spl2_20
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f75,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f1]) ).

fof(f1568,plain,
    ~ spl2_19,
    inference(avatar_split_clause,[],[f68,f1566]) ).

fof(f1566,plain,
    ( spl2_19
  <=> n9 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f68,plain,
    n9 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1564,plain,
    ~ spl2_18,
    inference(avatar_split_clause,[],[f65,f1562]) ).

fof(f1562,plain,
    ( spl2_18
  <=> n2 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f65,plain,
    n2 != n22,
    inference(cnf_transformation,[],[f1]) ).

fof(f1560,plain,
    ~ spl2_17,
    inference(avatar_split_clause,[],[f63,f1558]) ).

fof(f1558,plain,
    ( spl2_17
  <=> n1 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f63,plain,
    n1 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1556,plain,
    ~ spl2_16,
    inference(avatar_split_clause,[],[f62,f1554]) ).

fof(f1554,plain,
    ( spl2_16
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f62,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f1]) ).

fof(f1552,plain,
    ~ spl2_15,
    inference(avatar_split_clause,[],[f61,f1550]) ).

fof(f1550,plain,
    ( spl2_15
  <=> n17 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f61,plain,
    n17 != n25,
    inference(cnf_transformation,[],[f1]) ).

fof(f1548,plain,
    ~ spl2_14,
    inference(avatar_split_clause,[],[f55,f1546]) ).

fof(f1546,plain,
    ( spl2_14
  <=> n17 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f55,plain,
    n17 != n24,
    inference(cnf_transformation,[],[f1]) ).

fof(f1544,plain,
    ~ spl2_13,
    inference(avatar_split_clause,[],[f50,f1542]) ).

fof(f1542,plain,
    ( spl2_13
  <=> n11 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f50,plain,
    n11 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f1540,plain,
    ~ spl2_12,
    inference(avatar_split_clause,[],[f47,f1538]) ).

fof(f1538,plain,
    ( spl2_12
  <=> n21 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f47,plain,
    n21 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1536,plain,
    ~ spl2_11,
    inference(avatar_split_clause,[],[f45,f1534]) ).

fof(f1534,plain,
    ( spl2_11
  <=> n22 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f45,plain,
    n22 != n27,
    inference(cnf_transformation,[],[f1]) ).

fof(f1532,plain,
    ~ spl2_10,
    inference(avatar_split_clause,[],[f41,f1530]) ).

fof(f1530,plain,
    ( spl2_10
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f41,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f1]) ).

fof(f1528,plain,
    ~ spl2_9,
    inference(avatar_split_clause,[],[f36,f1526]) ).

fof(f1526,plain,
    ( spl2_9
  <=> n3 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f36,plain,
    n3 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1524,plain,
    ~ spl2_8,
    inference(avatar_split_clause,[],[f29,f1522]) ).

fof(f1522,plain,
    ( spl2_8
  <=> n14 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f29,plain,
    n14 != n18,
    inference(cnf_transformation,[],[f1]) ).

fof(f1520,plain,
    ~ spl2_7,
    inference(avatar_split_clause,[],[f28,f1518]) ).

fof(f1518,plain,
    ( spl2_7
  <=> n3 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f28,plain,
    n3 != n19,
    inference(cnf_transformation,[],[f1]) ).

fof(f1516,plain,
    ~ spl2_6,
    inference(avatar_split_clause,[],[f26,f1514]) ).

fof(f1514,plain,
    ( spl2_6
  <=> n11 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f26,plain,
    n11 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1512,plain,
    ~ spl2_5,
    inference(avatar_split_clause,[],[f23,f1510]) ).

fof(f1510,plain,
    ( spl2_5
  <=> n15 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f23,plain,
    n15 != n29,
    inference(cnf_transformation,[],[f1]) ).

fof(f1508,plain,
    ~ spl2_4,
    inference(avatar_split_clause,[],[f22,f1506]) ).

fof(f1506,plain,
    ( spl2_4
  <=> n25 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f22,plain,
    n25 != n26,
    inference(cnf_transformation,[],[f1]) ).

fof(f1504,plain,
    ~ spl2_3,
    inference(avatar_split_clause,[],[f17,f1502]) ).

fof(f1502,plain,
    ( spl2_3
  <=> n20 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f17,plain,
    n20 != n30,
    inference(cnf_transformation,[],[f1]) ).

fof(f1500,plain,
    ~ spl2_2,
    inference(avatar_split_clause,[],[f16,f1498]) ).

fof(f1498,plain,
    ( spl2_2
  <=> n0 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f16,plain,
    n0 != n28,
    inference(cnf_transformation,[],[f1]) ).

fof(f1496,plain,
    ~ spl2_1,
    inference(avatar_split_clause,[],[f12,f1494]) ).

fof(f1494,plain,
    ( spl2_1
  <=> n12 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f12,plain,
    n12 != n25,
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM376+1.030 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 06:29:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.30/0.54  % (30679)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.54  % (30685)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.30/0.54  % (30677)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.55  % (30677)Refutation not found, incomplete strategy% (30677)------------------------------
% 1.30/0.55  % (30677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55  % (30677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55  % (30677)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.55  
% 1.30/0.55  % (30677)Memory used [KB]: 6524
% 1.30/0.55  % (30677)Time elapsed: 0.003 s
% 1.30/0.55  % (30677)Instructions burned: 3 (million)
% 1.30/0.55  % (30677)------------------------------
% 1.30/0.55  % (30677)------------------------------
% 1.30/0.55  % (30688)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.55  % (30694)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.55  % (30688)Instruction limit reached!
% 1.30/0.55  % (30688)------------------------------
% 1.30/0.55  % (30688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55  % (30688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55  % (30688)Termination reason: Unknown
% 1.30/0.55  % (30688)Termination phase: Preprocessing 3
% 1.30/0.55  
% 1.30/0.55  % (30688)Memory used [KB]: 2302
% 1.30/0.55  % (30688)Time elapsed: 0.004 s
% 1.30/0.55  % (30688)Instructions burned: 7 (million)
% 1.30/0.55  % (30688)------------------------------
% 1.30/0.55  % (30688)------------------------------
% 1.30/0.55  % (30696)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.30/0.55  % (30675)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.55  % (30686)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.55  % (30675)Instruction limit reached!
% 1.30/0.55  % (30675)------------------------------
% 1.30/0.55  % (30675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55  % (30675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55  % (30675)Termination reason: Unknown
% 1.30/0.55  % (30675)Termination phase: Preprocessing 2
% 1.30/0.55  
% 1.30/0.55  % (30675)Memory used [KB]: 2046
% 1.30/0.55  % (30675)Time elapsed: 0.003 s
% 1.30/0.55  % (30675)Instructions burned: 3 (million)
% 1.30/0.55  % (30675)------------------------------
% 1.30/0.55  % (30675)------------------------------
% 1.30/0.55  % (30678)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.30/0.55  % (30686)Refutation not found, incomplete strategy% (30686)------------------------------
% 1.30/0.55  % (30686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55  % (30686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55  % (30686)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.55  
% 1.30/0.55  % (30686)Memory used [KB]: 6524
% 1.30/0.55  % (30686)Time elapsed: 0.003 s
% 1.30/0.55  % (30686)Instructions burned: 4 (million)
% 1.30/0.55  % (30686)------------------------------
% 1.30/0.55  % (30686)------------------------------
% 1.30/0.56  % (30676)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.56  % (30687)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.56  % (30676)Refutation not found, incomplete strategy% (30676)------------------------------
% 1.30/0.56  % (30676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (30676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (30676)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.56  
% 1.30/0.56  % (30676)Memory used [KB]: 6524
% 1.30/0.56  % (30676)Time elapsed: 0.003 s
% 1.30/0.56  % (30676)Instructions burned: 2 (million)
% 1.30/0.56  % (30676)------------------------------
% 1.30/0.56  % (30676)------------------------------
% 1.30/0.56  % (30687)Instruction limit reached!
% 1.30/0.56  % (30687)------------------------------
% 1.30/0.56  % (30687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (30687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (30687)Termination reason: Unknown
% 1.30/0.56  % (30687)Termination phase: shuffling
% 1.30/0.56  
% 1.30/0.56  % (30687)Memory used [KB]: 2046
% 1.30/0.56  % (30687)Time elapsed: 0.003 s
% 1.30/0.56  % (30687)Instructions burned: 3 (million)
% 1.30/0.56  % (30687)------------------------------
% 1.30/0.56  % (30687)------------------------------
% 1.30/0.56  % (30674)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.56  % (30673)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.30/0.56  % (30674)Refutation not found, incomplete strategy% (30674)------------------------------
% 1.30/0.56  % (30674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (30674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (30674)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.56  
% 1.30/0.56  % (30674)Memory used [KB]: 6524
% 1.30/0.56  % (30674)Time elapsed: 0.002 s
% 1.30/0.56  % (30674)Instructions burned: 3 (million)
% 1.30/0.56  % (30674)------------------------------
% 1.30/0.56  % (30674)------------------------------
% 1.30/0.56  % (30680)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.56  % (30683)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.30/0.56  % (30684)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.57  % (30693)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.30/0.57  % (30679)Refutation not found, incomplete strategy% (30679)------------------------------
% 1.30/0.57  % (30679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30679)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.57  
% 1.30/0.57  % (30679)Memory used [KB]: 6524
% 1.30/0.57  % (30679)Time elapsed: 0.007 s
% 1.30/0.57  % (30679)Instructions burned: 3 (million)
% 1.30/0.57  % (30679)------------------------------
% 1.30/0.57  % (30679)------------------------------
% 1.30/0.57  % (30699)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.57  % (30692)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.30/0.57  % (30701)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.30/0.57  % (30698)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.30/0.57  % (30702)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.30/0.57  % (30685)Instruction limit reached!
% 1.30/0.57  % (30685)------------------------------
% 1.30/0.57  % (30685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30685)Termination reason: Unknown
% 1.30/0.57  % (30685)Termination phase: Property scanning
% 1.30/0.57  
% 1.30/0.57  % (30685)Memory used [KB]: 2558
% 1.30/0.57  % (30685)Time elapsed: 0.015 s
% 1.30/0.57  % (30685)Instructions burned: 16 (million)
% 1.30/0.57  % (30685)------------------------------
% 1.30/0.57  % (30685)------------------------------
% 1.30/0.57  % (30693)Refutation not found, incomplete strategy% (30693)------------------------------
% 1.30/0.57  % (30693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30693)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.57  
% 1.30/0.57  % (30693)Memory used [KB]: 6524
% 1.30/0.57  % (30693)Time elapsed: 0.004 s
% 1.30/0.57  % (30693)Instructions burned: 4 (million)
% 1.30/0.57  % (30693)------------------------------
% 1.30/0.57  % (30693)------------------------------
% 1.30/0.57  % (30697)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.57  % (30691)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.57  % (30678)Instruction limit reached!
% 1.30/0.57  % (30678)------------------------------
% 1.30/0.57  % (30678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30678)Termination reason: Unknown
% 1.30/0.57  % (30678)Termination phase: Property scanning
% 1.30/0.57  
% 1.30/0.57  % (30678)Memory used [KB]: 2558
% 1.30/0.57  % (30678)Time elapsed: 0.009 s
% 1.30/0.57  % (30678)Instructions burned: 17 (million)
% 1.30/0.57  % (30678)------------------------------
% 1.30/0.57  % (30678)------------------------------
% 1.30/0.57  % (30702)Refutation not found, incomplete strategy% (30702)------------------------------
% 1.30/0.57  % (30702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30691)Instruction limit reached!
% 1.30/0.57  % (30691)------------------------------
% 1.30/0.57  % (30691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30691)Termination reason: Unknown
% 1.30/0.57  % (30691)Termination phase: SInE selection
% 1.30/0.57  
% 1.30/0.57  % (30691)Memory used [KB]: 2046
% 1.30/0.57  % (30691)Time elapsed: 0.002 s
% 1.30/0.57  % (30691)Instructions burned: 3 (million)
% 1.30/0.57  % (30691)------------------------------
% 1.30/0.57  % (30691)------------------------------
% 1.30/0.57  % (30702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30702)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.57  
% 1.30/0.57  % (30702)Memory used [KB]: 6524
% 1.30/0.57  % (30702)Time elapsed: 0.007 s
% 1.30/0.57  % (30702)Instructions burned: 3 (million)
% 1.30/0.57  % (30702)------------------------------
% 1.30/0.57  % (30702)------------------------------
% 1.30/0.57  % (30692)Refutation not found, incomplete strategy% (30692)------------------------------
% 1.30/0.57  % (30692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (30692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (30692)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.57  
% 1.30/0.57  % (30692)Memory used [KB]: 6524
% 1.30/0.57  % (30692)Time elapsed: 0.003 s
% 1.30/0.57  % (30692)Instructions burned: 3 (million)
% 1.30/0.57  % (30692)------------------------------
% 1.30/0.57  % (30692)------------------------------
% 1.30/0.57  % (30700)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=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.30/0.58  % (30695)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.30/0.58  % (30689)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.58  % (30682)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.30/0.58  % (30682)Refutation not found, incomplete strategy% (30682)------------------------------
% 1.30/0.58  % (30682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.58  % (30684)Instruction limit reached!
% 1.30/0.58  % (30684)------------------------------
% 1.30/0.58  % (30684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.58  % (30681)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.30/0.58  % (30701)Instruction limit reached!
% 1.30/0.58  % (30701)------------------------------
% 1.30/0.58  % (30701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.58  % (30684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.58  % (30684)Termination reason: Unknown
% 1.30/0.58  % (30684)Termination phase: Preprocessing 3
% 1.30/0.58  
% 1.30/0.58  % (30684)Memory used [KB]: 2302
% 1.30/0.58  % (30684)Time elapsed: 0.007 s
% 1.30/0.58  % (30684)Instructions burned: 8 (million)
% 1.30/0.58  % (30684)------------------------------
% 1.30/0.58  % (30684)------------------------------
% 1.30/0.58  % (30701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.58  % (30701)Termination reason: Unknown
% 1.30/0.58  % (30701)Termination phase: Preprocessing 3
% 1.30/0.58  
% 1.30/0.58  % (30701)Memory used [KB]: 2302
% 1.30/0.58  % (30701)Time elapsed: 0.005 s
% 1.30/0.58  % (30701)Instructions burned: 9 (million)
% 1.30/0.58  % (30701)------------------------------
% 1.30/0.58  % (30701)------------------------------
% 1.30/0.58  % (30690)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.59  % (30690)Instruction limit reached!
% 1.30/0.59  % (30690)------------------------------
% 1.30/0.59  % (30690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.59  % (30690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.59  % (30690)Termination reason: Unknown
% 1.30/0.59  % (30690)Termination phase: Unused predicate definition removal
% 1.30/0.59  
% 1.30/0.59  % (30690)Memory used [KB]: 2046
% 1.30/0.59  % (30690)Time elapsed: 0.002 s
% 1.30/0.59  % (30690)Instructions burned: 3 (million)
% 1.30/0.59  % (30690)------------------------------
% 1.30/0.59  % (30690)------------------------------
% 1.30/0.59  % (30700)Instruction limit reached!
% 1.30/0.59  % (30700)------------------------------
% 1.30/0.59  % (30700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.59  % (30700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.59  % (30700)Termination reason: Unknown
% 1.30/0.59  % (30700)Termination phase: Saturation
% 1.30/0.59  
% 1.30/0.59  % (30700)Memory used [KB]: 7164
% 1.30/0.59  % (30700)Time elapsed: 0.011 s
% 1.30/0.59  % (30700)Instructions burned: 25 (million)
% 1.30/0.59  % (30700)------------------------------
% 1.30/0.59  % (30700)------------------------------
% 1.30/0.59  % (30682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.59  % (30682)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.59  
% 1.30/0.59  % (30682)Memory used [KB]: 6524
% 1.30/0.59  % (30682)Time elapsed: 0.004 s
% 1.30/0.59  % (30682)Instructions burned: 4 (million)
% 1.30/0.59  % (30682)------------------------------
% 1.30/0.59  % (30682)------------------------------
% 1.30/0.60  % (30683)Instruction limit reached!
% 1.30/0.60  % (30683)------------------------------
% 1.30/0.60  % (30683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.60  % (30683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.60  % (30683)Termination reason: Unknown
% 1.30/0.60  % (30683)Termination phase: Clausification
% 1.30/0.60  
% 1.30/0.60  % (30683)Memory used [KB]: 2430
% 1.30/0.60  % (30683)Time elapsed: 0.008 s
% 1.30/0.60  % (30683)Instructions burned: 12 (million)
% 1.30/0.60  % (30683)------------------------------
% 1.30/0.60  % (30683)------------------------------
% 1.30/0.60  % (30694)Refutation not found, incomplete strategy% (30694)------------------------------
% 1.30/0.60  % (30694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.60  % (30694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.60  % (30694)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.60  
% 1.30/0.60  % (30694)Memory used [KB]: 8571
% 1.30/0.60  % (30694)Time elapsed: 0.042 s
% 1.30/0.60  % (30694)Instructions burned: 44 (million)
% 1.30/0.60  % (30694)------------------------------
% 1.30/0.60  % (30694)------------------------------
% 1.30/0.60  % (30681)Refutation not found, incomplete strategy% (30681)------------------------------
% 1.30/0.60  % (30681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.60  % (30681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.60  % (30681)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.60  
% 1.30/0.60  % (30681)Memory used [KB]: 6524
% 1.30/0.60  % (30681)Time elapsed: 0.005 s
% 1.30/0.60  % (30681)Instructions burned: 3 (million)
% 1.30/0.60  % (30681)------------------------------
% 1.30/0.60  % (30681)------------------------------
% 1.30/0.62  % (30680)Instruction limit reached!
% 1.30/0.62  % (30680)------------------------------
% 1.30/0.62  % (30680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.62  % (30680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.62  % (30680)Termination reason: Unknown
% 1.30/0.62  % (30680)Termination phase: Saturation
% 1.30/0.62  
% 1.30/0.62  % (30680)Memory used [KB]: 3837
% 1.30/0.62  % (30680)Time elapsed: 0.023 s
% 1.30/0.62  % (30680)Instructions burned: 40 (million)
% 1.30/0.62  % (30680)------------------------------
% 1.30/0.62  % (30680)------------------------------
% 1.84/0.64  % (30696)Refutation not found, incomplete strategy% (30696)------------------------------
% 1.84/0.64  % (30696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64  % (30696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64  % (30696)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.64  
% 1.84/0.64  % (30696)Memory used [KB]: 3965
% 1.84/0.64  % (30696)Time elapsed: 0.030 s
% 1.84/0.64  % (30696)Instructions burned: 42 (million)
% 1.84/0.64  % (30696)------------------------------
% 1.84/0.64  % (30696)------------------------------
% 1.84/0.64  % (30699)Refutation not found, incomplete strategy% (30699)------------------------------
% 1.84/0.64  % (30699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65  % (30697)Instruction limit reached!
% 1.84/0.65  % (30697)------------------------------
% 1.84/0.65  % (30697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65  % (30697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65  % (30697)Termination reason: Unknown
% 1.84/0.65  % (30697)Termination phase: Saturation
% 1.84/0.65  
% 1.84/0.65  % (30697)Memory used [KB]: 7931
% 1.84/0.65  % (30697)Time elapsed: 0.226 s
% 1.84/0.65  % (30697)Instructions burned: 50 (million)
% 1.84/0.65  % (30697)------------------------------
% 1.84/0.65  % (30697)------------------------------
% 1.84/0.65  % (30689)Refutation not found, incomplete strategy% (30689)------------------------------
% 1.84/0.65  % (30689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65  % (30689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65  % (30689)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.65  
% 1.84/0.65  % (30689)Memory used [KB]: 9466
% 1.84/0.65  % (30689)Time elapsed: 0.027 s
% 1.84/0.65  % (30689)Instructions burned: 41 (million)
% 1.84/0.65  % (30689)------------------------------
% 1.84/0.65  % (30689)------------------------------
% 1.84/0.65  % (30699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65  % (30699)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.65  
% 1.84/0.65  % (30699)Memory used [KB]: 9466
% 1.84/0.65  % (30699)Time elapsed: 0.036 s
% 1.84/0.65  % (30699)Instructions burned: 42 (million)
% 1.84/0.65  % (30699)------------------------------
% 1.84/0.65  % (30699)------------------------------
% 1.84/0.66  % (30783)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 1.84/0.67  % (30783)Refutation not found, incomplete strategy% (30783)------------------------------
% 1.84/0.67  % (30783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.68  % (30773)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.84/0.68  % (30783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.68  % (30783)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.68  
% 1.84/0.68  % (30783)Memory used [KB]: 6524
% 1.84/0.68  % (30783)Time elapsed: 0.004 s
% 1.84/0.68  % (30783)Instructions burned: 3 (million)
% 1.84/0.68  % (30783)------------------------------
% 1.84/0.68  % (30783)------------------------------
% 1.84/0.68  % (30773)Refutation not found, incomplete strategy% (30773)------------------------------
% 1.84/0.68  % (30773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.68  % (30773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.68  % (30773)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.68  
% 1.84/0.68  % (30773)Memory used [KB]: 11001
% 1.84/0.68  % (30773)Time elapsed: 0.003 s
% 1.84/0.68  % (30773)Instructions burned: 3 (million)
% 1.84/0.68  % (30773)------------------------------
% 1.84/0.68  % (30773)------------------------------
% 1.84/0.68  % (30768)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.84/0.68  % (30768)Refutation not found, incomplete strategy% (30768)------------------------------
% 1.84/0.68  % (30768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.68  % (30768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.68  % (30768)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.68  
% 1.84/0.68  % (30768)Memory used [KB]: 6524
% 1.84/0.68  % (30768)Time elapsed: 0.003 s
% 1.84/0.68  % (30768)Instructions burned: 2 (million)
% 1.84/0.68  % (30768)------------------------------
% 1.84/0.68  % (30768)------------------------------
% 1.84/0.68  % (30779)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.84/0.68  % (30781)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.84/0.68  % (30779)Refutation not found, incomplete strategy% (30779)------------------------------
% 1.84/0.68  % (30779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.68  % (30799)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.05/0.69  % (30793)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.05/0.69  % (30779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.69  % (30779)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.69  
% 2.05/0.69  % (30779)Memory used [KB]: 6524
% 2.05/0.69  % (30779)Time elapsed: 0.003 s
% 2.05/0.69  % (30779)Instructions burned: 2 (million)
% 2.05/0.69  % (30779)------------------------------
% 2.05/0.69  % (30779)------------------------------
% 2.05/0.69  % (30789)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.05/0.69  % (30782)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.05/0.70  % (30793)Instruction limit reached!
% 2.05/0.70  % (30793)------------------------------
% 2.05/0.70  % (30793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.70  % (30820)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.05/0.70  % (30820)Refutation not found, incomplete strategy% (30820)------------------------------
% 2.05/0.70  % (30820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.70  % (30820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.70  % (30820)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.70  
% 2.05/0.70  % (30820)Memory used [KB]: 6524
% 2.05/0.70  % (30820)Time elapsed: 0.006 s
% 2.05/0.70  % (30820)Instructions burned: 3 (million)
% 2.05/0.70  % (30820)------------------------------
% 2.05/0.70  % (30820)------------------------------
% 2.05/0.70  % (30785)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.05/0.71  % (30802)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.05/0.71  % (30785)Refutation not found, incomplete strategy% (30785)------------------------------
% 2.05/0.71  % (30785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.71  % (30785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.71  % (30785)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.71  
% 2.05/0.71  % (30785)Memory used [KB]: 6524
% 2.05/0.71  % (30785)Time elapsed: 0.003 s
% 2.05/0.71  % (30785)Instructions burned: 2 (million)
% 2.05/0.71  % (30785)------------------------------
% 2.05/0.71  % (30785)------------------------------
% 2.05/0.71  % (30802)Refutation not found, incomplete strategy% (30802)------------------------------
% 2.05/0.71  % (30802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.71  % (30795)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.05/0.71  % (30802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.71  % (30802)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.71  
% 2.05/0.71  % (30802)Memory used [KB]: 6524
% 2.05/0.71  % (30802)Time elapsed: 0.005 s
% 2.05/0.71  % (30802)Instructions burned: 2 (million)
% 2.05/0.71  % (30802)------------------------------
% 2.05/0.71  % (30802)------------------------------
% 2.05/0.71  % (30810)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.05/0.72  % (30818)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.05/0.72  % (30811)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.05/0.72  % (30794)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.05/0.72  % (30695)Instruction limit reached!
% 2.05/0.72  % (30695)------------------------------
% 2.05/0.72  % (30695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.72  % (30698)Instruction limit reached!
% 2.05/0.72  % (30698)------------------------------
% 2.05/0.72  % (30698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.72  % (30698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.72  % (30698)Termination reason: Unknown
% 2.05/0.72  % (30698)Termination phase: Saturation
% 2.05/0.72  
% 2.05/0.72  % (30698)Memory used [KB]: 8315
% 2.05/0.72  % (30698)Time elapsed: 0.050 s
% 2.05/0.72  % (30698)Instructions burned: 96 (million)
% 2.05/0.72  % (30698)------------------------------
% 2.05/0.72  % (30698)------------------------------
% 2.05/0.72  % (30695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.72  % (30695)Termination reason: Unknown
% 2.05/0.72  % (30695)Termination phase: Saturation
% 2.05/0.72  
% 2.05/0.72  % (30695)Memory used [KB]: 8059
% 2.05/0.72  % (30695)Time elapsed: 0.295 s
% 2.05/0.72  % (30695)Instructions burned: 83 (million)
% 2.05/0.72  % (30695)------------------------------
% 2.05/0.72  % (30695)------------------------------
% 2.05/0.72  % (30815)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.05/0.73  % (30830)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.05/0.73  % (30796)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.05/0.73  % (30827)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.05/0.73  % (30793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.73  % (30793)Termination reason: Unknown
% 2.05/0.73  % (30793)Termination phase: Saturation
% 2.05/0.73  
% 2.05/0.73  % (30793)Memory used [KB]: 2942
% 2.05/0.73  % (30793)Time elapsed: 0.012 s
% 2.05/0.73  % (30793)Instructions burned: 32 (million)
% 2.05/0.73  % (30793)------------------------------
% 2.05/0.73  % (30793)------------------------------
% 2.05/0.73  % (30823)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.05/0.74  % (30796)Refutation not found, incomplete strategy% (30796)------------------------------
% 2.05/0.74  % (30796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.74  % (30796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.74  % (30796)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.74  
% 2.05/0.74  % (30796)Memory used [KB]: 6524
% 2.05/0.74  % (30796)Time elapsed: 0.006 s
% 2.05/0.74  % (30796)Instructions burned: 6 (million)
% 2.05/0.74  % (30796)------------------------------
% 2.05/0.74  % (30796)------------------------------
% 2.05/0.74  % (30818)Refutation not found, incomplete strategy% (30818)------------------------------
% 2.05/0.74  % (30818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.74  % (30818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.74  % (30818)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.74  
% 2.05/0.74  % (30818)Memory used [KB]: 6524
% 2.05/0.74  % (30818)Time elapsed: 0.005 s
% 2.05/0.74  % (30818)Instructions burned: 3 (million)
% 2.05/0.74  % (30818)------------------------------
% 2.05/0.74  % (30818)------------------------------
% 2.05/0.74  % (30811)Instruction limit reached!
% 2.05/0.74  % (30811)------------------------------
% 2.05/0.74  % (30811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.74  % (30811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.74  % (30811)Termination reason: Unknown
% 2.05/0.74  % (30811)Termination phase: Property scanning
% 2.05/0.74  
% 2.05/0.74  % (30811)Memory used [KB]: 2430
% 2.05/0.74  % (30811)Time elapsed: 0.008 s
% 2.05/0.74  % (30811)Instructions burned: 15 (million)
% 2.05/0.74  % (30811)------------------------------
% 2.05/0.74  % (30811)------------------------------
% 2.05/0.74  % (30827)Refutation not found, incomplete strategy% (30827)------------------------------
% 2.05/0.74  % (30827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.74  % (30827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.74  % (30827)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.74  
% 2.05/0.74  % (30827)Memory used [KB]: 6524
% 2.05/0.74  % (30827)Time elapsed: 0.006 s
% 2.05/0.74  % (30827)Instructions burned: 3 (million)
% 2.05/0.74  % (30827)------------------------------
% 2.05/0.74  % (30827)------------------------------
% 2.44/0.75  % (30823)Instruction limit reached!
% 2.44/0.75  % (30823)------------------------------
% 2.44/0.75  % (30823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.75  % (30823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.75  % (30823)Termination reason: Unknown
% 2.44/0.75  % (30823)Termination phase: Saturation
% 2.44/0.75  
% 2.44/0.75  % (30823)Memory used [KB]: 2558
% 2.44/0.75  % (30823)Time elapsed: 0.009 s
% 2.44/0.75  % (30823)Instructions burned: 19 (million)
% 2.44/0.75  % (30823)------------------------------
% 2.44/0.75  % (30823)------------------------------
% 2.44/0.75  % (30781)Refutation not found, incomplete strategy% (30781)------------------------------
% 2.44/0.75  % (30781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.76  % (30866)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.44/0.76  % (30844)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.44/0.76  % (30866)Refutation not found, incomplete strategy% (30866)------------------------------
% 2.44/0.76  % (30866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.76  % (30865)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.47/0.76  % (30866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.76  % (30866)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.76  
% 2.47/0.76  % (30866)Memory used [KB]: 2046
% 2.47/0.76  % (30866)Time elapsed: 0.006 s
% 2.47/0.76  % (30866)Instructions burned: 3 (million)
% 2.47/0.76  % (30866)------------------------------
% 2.47/0.76  % (30866)------------------------------
% 2.47/0.77  % (30781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.77  % (30781)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.77  
% 2.47/0.77  % (30781)Memory used [KB]: 3709
% 2.47/0.77  % (30781)Time elapsed: 0.027 s
% 2.47/0.77  % (30781)Instructions burned: 39 (million)
% 2.47/0.77  % (30781)------------------------------
% 2.47/0.77  % (30781)------------------------------
% 2.47/0.77  % (30844)Refutation not found, incomplete strategy% (30844)------------------------------
% 2.47/0.77  % (30844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.77  % (30844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.77  % (30844)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.77  
% 2.47/0.77  % (30844)Memory used [KB]: 6524
% 2.47/0.77  % (30844)Time elapsed: 0.003 s
% 2.47/0.77  % (30844)Instructions burned: 2 (million)
% 2.47/0.77  % (30844)------------------------------
% 2.47/0.77  % (30844)------------------------------
% 2.47/0.77  % (30815)Instruction limit reached!
% 2.47/0.77  % (30815)------------------------------
% 2.47/0.77  % (30815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.77  % (30815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.77  % (30815)Termination reason: Unknown
% 2.47/0.77  % (30815)Termination phase: Saturation
% 2.47/0.77  
% 2.47/0.77  % (30815)Memory used [KB]: 7291
% 2.47/0.77  % (30815)Time elapsed: 0.016 s
% 2.47/0.77  % (30815)Instructions burned: 32 (million)
% 2.47/0.77  % (30815)------------------------------
% 2.47/0.77  % (30815)------------------------------
% 2.47/0.78  % (30789)Instruction limit reached!
% 2.47/0.78  % (30789)------------------------------
% 2.47/0.78  % (30789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.78  % (30789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.78  % (30789)Termination reason: Unknown
% 2.47/0.78  % (30789)Termination phase: Saturation
% 2.47/0.78  
% 2.47/0.78  % (30789)Memory used [KB]: 7547
% 2.47/0.78  % (30789)Time elapsed: 0.164 s
% 2.47/0.78  % (30789)Instructions burned: 42 (million)
% 2.47/0.78  % (30789)------------------------------
% 2.47/0.78  % (30789)------------------------------
% 2.47/0.78  % (30795)Refutation not found, incomplete strategy% (30795)------------------------------
% 2.47/0.78  % (30795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.78  % (30795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.78  % (30795)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.78  
% 2.47/0.78  % (30795)Memory used [KB]: 8315
% 2.47/0.78  % (30795)Time elapsed: 0.026 s
% 2.47/0.78  % (30795)Instructions burned: 41 (million)
% 2.47/0.78  % (30795)------------------------------
% 2.47/0.78  % (30795)------------------------------
% 2.47/0.78  % (30852)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.47/0.78  % (30852)Refutation not found, incomplete strategy% (30852)------------------------------
% 2.47/0.78  % (30852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.78  % (30852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.78  % (30852)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.78  
% 2.47/0.78  % (30852)Memory used [KB]: 6524
% 2.47/0.78  % (30852)Time elapsed: 0.003 s
% 2.47/0.78  % (30852)Instructions burned: 2 (million)
% 2.47/0.78  % (30852)------------------------------
% 2.47/0.78  % (30852)------------------------------
% 2.47/0.79  % (30863)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.47/0.79  % (30863)Refutation not found, incomplete strategy% (30863)------------------------------
% 2.47/0.79  % (30863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.79  % (30863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.79  % (30863)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.79  
% 2.47/0.79  % (30863)Memory used [KB]: 6524
% 2.47/0.79  % (30863)Time elapsed: 0.002 s
% 2.47/0.79  % (30863)Instructions burned: 3 (million)
% 2.47/0.79  % (30863)------------------------------
% 2.47/0.79  % (30863)------------------------------
% 2.47/0.79  % (30810)Refutation not found, incomplete strategy% (30810)------------------------------
% 2.47/0.79  % (30810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.79  % (30810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.79  % (30810)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.79  
% 2.47/0.79  % (30810)Memory used [KB]: 7931
% 2.47/0.79  % (30810)Time elapsed: 0.021 s
% 2.47/0.79  % (30810)Instructions burned: 36 (million)
% 2.47/0.79  % (30810)------------------------------
% 2.47/0.79  % (30810)------------------------------
% 2.47/0.80  % (30794)Instruction limit reached!
% 2.47/0.80  % (30794)------------------------------
% 2.47/0.80  % (30794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.80  % (30879)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 2.84/0.80  % (30865)Refutation not found, incomplete strategy% (30865)------------------------------
% 2.84/0.80  % (30865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.81  % (30830)Refutation not found, incomplete strategy% (30830)------------------------------
% 2.84/0.81  % (30830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.81  % (30888)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/23Mi)
% 2.84/0.82  % (30890)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/222Mi)
% 2.84/0.82  % (30865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.82  % (30865)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.82  
% 2.84/0.82  % (30865)Memory used [KB]: 7803
% 2.84/0.82  % (30865)Time elapsed: 0.024 s
% 2.84/0.82  % (30865)Instructions burned: 38 (million)
% 2.84/0.82  % (30865)------------------------------
% 2.84/0.82  % (30865)------------------------------
% 2.84/0.82  % (30877)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 2.84/0.82  % (30889)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/221Mi)
% 2.84/0.82  % (30881)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.84/0.82  % (30794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.82  % (30794)Termination reason: Unknown
% 2.84/0.82  % (30794)Termination phase: Saturation
% 2.84/0.82  
% 2.84/0.82  % (30794)Memory used [KB]: 8443
% 2.84/0.82  % (30794)Time elapsed: 0.201 s
% 2.84/0.82  % (30794)Instructions burned: 68 (million)
% 2.84/0.82  % (30794)------------------------------
% 2.84/0.82  % (30794)------------------------------
% 2.84/0.82  % (30881)Refutation not found, incomplete strategy% (30881)------------------------------
% 2.84/0.82  % (30881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.82  % (30881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.82  % (30881)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.82  
% 2.84/0.82  % (30881)Memory used [KB]: 6524
% 2.84/0.82  % (30881)Time elapsed: 0.002 s
% 2.84/0.82  % (30881)Instructions burned: 2 (million)
% 2.84/0.82  % (30881)------------------------------
% 2.84/0.82  % (30881)------------------------------
% 2.84/0.82  % (30830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.82  % (30830)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.82  
% 2.84/0.82  % (30830)Memory used [KB]: 8571
% 2.84/0.82  % (30830)Time elapsed: 0.032 s
% 2.84/0.82  % (30830)Instructions burned: 44 (million)
% 2.84/0.82  % (30830)------------------------------
% 2.84/0.82  % (30830)------------------------------
% 2.84/0.82  % (30879)Refutation not found, incomplete strategy% (30879)------------------------------
% 2.84/0.82  % (30879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.82  % (30879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.82  % (30879)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.82  
% 2.84/0.82  % (30879)Memory used [KB]: 6524
% 2.84/0.82  % (30879)Time elapsed: 0.003 s
% 2.84/0.82  % (30879)Instructions burned: 3 (million)
% 2.84/0.82  % (30879)------------------------------
% 2.84/0.82  % (30879)------------------------------
% 2.84/0.83  % (30799)Instruction limit reached!
% 2.84/0.83  % (30799)------------------------------
% 2.84/0.83  % (30799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.83  % (30799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.83  % (30799)Termination reason: Unknown
% 2.84/0.83  % (30799)Termination phase: Saturation
% 2.84/0.83  
% 2.84/0.83  % (30799)Memory used [KB]: 8315
% 2.84/0.83  % (30799)Time elapsed: 0.049 s
% 2.84/0.83  % (30799)Instructions burned: 94 (million)
% 2.84/0.83  % (30799)------------------------------
% 2.84/0.83  % (30799)------------------------------
% 2.84/0.83  % (30887)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 2.84/0.83  % (30898)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/118Mi)
% 2.84/0.83  % (30888)Instruction limit reached!
% 2.84/0.83  % (30888)------------------------------
% 2.84/0.83  % (30888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.84  % (30892)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/79Mi)
% 3.21/0.84  % (30888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.84  % (30888)Termination reason: Unknown
% 3.21/0.84  % (30888)Termination phase: Property scanning
% 3.21/0.84  
% 3.21/0.84  % (30888)Memory used [KB]: 2814
% 3.21/0.84  % (30888)Time elapsed: 0.016 s
% 3.21/0.84  % (30888)Instructions burned: 25 (million)
% 3.21/0.84  % (30888)------------------------------
% 3.21/0.84  % (30888)------------------------------
% 3.21/0.85  % (30898)Refutation not found, incomplete strategy% (30898)------------------------------
% 3.21/0.85  % (30898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.85  % (30898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.85  % (30898)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.85  
% 3.21/0.85  % (30898)Memory used [KB]: 6524
% 3.21/0.85  % (30898)Time elapsed: 0.004 s
% 3.21/0.85  % (30898)Instructions burned: 4 (million)
% 3.21/0.85  % (30898)------------------------------
% 3.21/0.85  % (30898)------------------------------
% 3.21/0.86  % (30893)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/377Mi)
% 3.21/0.86  % (30900)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/113Mi)
% 3.21/0.86  % (30903)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/8Mi)
% 3.21/0.87  % (30899)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/34Mi)
% 3.21/0.87  % (30903)Instruction limit reached!
% 3.21/0.87  % (30903)------------------------------
% 3.21/0.87  % (30903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.87  % (30903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.87  % (30903)Termination reason: Unknown
% 3.21/0.87  % (30903)Termination phase: Preprocessing 3
% 3.21/0.87  
% 3.21/0.87  % (30903)Memory used [KB]: 2302
% 3.21/0.87  % (30903)Time elapsed: 0.006 s
% 3.21/0.87  % (30903)Instructions burned: 8 (million)
% 3.21/0.87  % (30903)------------------------------
% 3.21/0.87  % (30903)------------------------------
% 3.21/0.87  % (30921)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/753Mi)
% 3.21/0.88  % (30891)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/86Mi)
% 3.21/0.88  % (30782)Instruction limit reached!
% 3.21/0.88  % (30782)------------------------------
% 3.21/0.88  % (30782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.88  % (30782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.88  % (30782)Termination reason: Unknown
% 3.21/0.88  % (30782)Termination phase: Saturation
% 3.21/0.88  
% 3.21/0.88  % (30782)Memory used [KB]: 3965
% 3.21/0.88  % (30782)Time elapsed: 0.299 s
% 3.21/0.88  % (30782)Instructions burned: 107 (million)
% 3.21/0.88  % (30782)------------------------------
% 3.21/0.88  % (30782)------------------------------
% 3.21/0.88  % (30910)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/390Mi)
% 3.21/0.88  % (30910)Refutation not found, incomplete strategy% (30910)------------------------------
% 3.21/0.88  % (30910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.88  % (30910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.88  % (30910)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.88  
% 3.21/0.88  % (30910)Memory used [KB]: 6524
% 3.21/0.88  % (30910)Time elapsed: 0.002 s
% 3.21/0.88  % (30910)Instructions burned: 3 (million)
% 3.21/0.88  % (30910)------------------------------
% 3.21/0.88  % (30910)------------------------------
% 3.21/0.89  % (30918)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/366Mi)
% 3.21/0.89  % (30917)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/357Mi)
% 3.21/0.89  % (30913)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.21/0.90  % (30913)Refutation not found, incomplete strategy% (30913)------------------------------
% 3.21/0.90  % (30913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.90  % (30913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.90  % (30913)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.90  
% 3.21/0.90  % (30913)Memory used [KB]: 6524
% 3.21/0.90  % (30913)Time elapsed: 0.002 s
% 3.21/0.90  % (30913)Instructions burned: 3 (million)
% 3.21/0.90  % (30913)------------------------------
% 3.21/0.90  % (30913)------------------------------
% 3.21/0.90  % (30889)Refutation not found, incomplete strategy% (30889)------------------------------
% 3.21/0.90  % (30889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.90  % (30889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.90  % (30889)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.90  
% 3.21/0.90  % (30889)Memory used [KB]: 8187
% 3.21/0.90  % (30889)Time elapsed: 0.024 s
% 3.21/0.90  % (30889)Instructions burned: 39 (million)
% 3.21/0.90  % (30889)------------------------------
% 3.21/0.90  % (30889)------------------------------
% 3.21/0.90  % (30919)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/424Mi)
% 3.21/0.91  % (30938)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/35Mi)
% 3.21/0.92  % (30921)Refutation not found, incomplete strategy% (30921)------------------------------
% 3.21/0.92  % (30921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.92  % (30899)Instruction limit reached!
% 3.21/0.92  % (30899)------------------------------
% 3.21/0.92  % (30899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.92  % (30899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.92  % (30899)Termination reason: Unknown
% 3.21/0.92  % (30899)Termination phase: Saturation
% 3.21/0.92  
% 3.21/0.92  % (30899)Memory used [KB]: 12920
% 3.21/0.92  % (30899)Time elapsed: 0.015 s
% 3.21/0.92  % (30899)Instructions burned: 34 (million)
% 3.21/0.92  % (30899)------------------------------
% 3.21/0.92  % (30899)------------------------------
% 3.21/0.92  % (30930)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1000Mi)
% 3.21/0.92  % (30938)Refutation not found, incomplete strategy% (30938)------------------------------
% 3.21/0.92  % (30938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.92  % (30938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.92  % (30938)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.92  
% 3.21/0.92  % (30938)Memory used [KB]: 6524
% 3.21/0.92  % (30938)Time elapsed: 0.004 s
% 3.21/0.92  % (30938)Instructions burned: 4 (million)
% 3.21/0.92  % (30938)------------------------------
% 3.21/0.92  % (30938)------------------------------
% 3.21/0.93  % (30932)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 3.21/0.93  % (30921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.93  % (30921)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.93  
% 3.21/0.93  % (30921)Memory used [KB]: 7931
% 3.21/0.93  % (30921)Time elapsed: 0.020 s
% 3.21/0.93  % (30921)Instructions burned: 32 (million)
% 3.21/0.93  % (30921)------------------------------
% 3.21/0.93  % (30921)------------------------------
% 3.21/0.93  % (30932)Refutation not found, incomplete strategy% (30932)------------------------------
% 3.21/0.93  % (30932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.93  % (30932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.93  % (30932)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.93  
% 3.21/0.93  % (30932)Memory used [KB]: 6524
% 3.21/0.93  % (30932)Time elapsed: 0.002 s
% 3.21/0.93  % (30932)Instructions burned: 4 (million)
% 3.21/0.93  % (30932)------------------------------
% 3.21/0.93  % (30932)------------------------------
% 3.21/0.93  % (30892)Instruction limit reached!
% 3.21/0.93  % (30892)------------------------------
% 3.21/0.93  % (30892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.93  % (30892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.93  % (30892)Termination reason: Unknown
% 3.21/0.93  % (30892)Termination phase: Saturation
% 3.21/0.93  
% 3.21/0.93  % (30892)Memory used [KB]: 8443
% 3.21/0.93  % (30892)Time elapsed: 0.167 s
% 3.21/0.93  % (30892)Instructions burned: 79 (million)
% 3.21/0.93  % (30892)------------------------------
% 3.21/0.93  % (30892)------------------------------
% 3.78/0.93  % (30929)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/288Mi)
% 3.78/0.93  % (30942)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/377Mi)
% 3.78/0.94  % (30952)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/91Mi)
% 3.78/0.95  % (30946)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/45Mi)
% 3.78/0.95  % (30948)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.78/0.95  % (30944)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/300Mi)
% 3.78/0.96  % (30969)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/234Mi)
% 3.78/0.96  % (30950)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/136Mi)
% 3.78/0.97  % (30966)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/102Mi)
% 3.80/0.99  % (30887)Instruction limit reached!
% 3.80/0.99  % (30887)------------------------------
% 3.80/0.99  % (30887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/0.99  % (30887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/0.99  % (30887)Termination reason: Unknown
% 3.80/0.99  % (30887)Termination phase: Saturation
% 3.80/0.99  
% 3.80/0.99  % (30887)Memory used [KB]: 8443
% 3.80/0.99  % (30887)Time elapsed: 0.274 s
% 3.80/0.99  % (30887)Instructions burned: 93 (million)
% 3.80/0.99  % (30887)------------------------------
% 3.80/0.99  % (30887)------------------------------
% 3.80/1.00  % (30930)Refutation not found, incomplete strategy% (30930)------------------------------
% 3.80/1.00  % (30930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.00  % (30930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.00  % (30930)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.00  
% 3.80/1.00  % (30930)Memory used [KB]: 8315
% 3.80/1.00  % (30930)Time elapsed: 0.023 s
% 3.80/1.00  % (30930)Instructions burned: 41 (million)
% 3.80/1.00  % (30930)------------------------------
% 3.80/1.00  % (30930)------------------------------
% 3.80/1.00  % (30948)Instruction limit reached!
% 3.80/1.00  % (30948)------------------------------
% 3.80/1.00  % (30948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.00  % (30948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.00  % (30948)Termination reason: Unknown
% 3.80/1.00  % (30948)Termination phase: Property scanning
% 3.80/1.00  
% 3.80/1.00  % (30948)Memory used [KB]: 2814
% 3.80/1.00  % (30948)Time elapsed: 0.011 s
% 3.80/1.00  % (30948)Instructions burned: 25 (million)
% 3.80/1.00  % (30948)------------------------------
% 3.80/1.00  % (30948)------------------------------
% 3.80/1.00  % (30944)Refutation not found, incomplete strategy% (30944)------------------------------
% 3.80/1.00  % (30944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.00  % (30944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.00  % (30944)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.00  
% 3.80/1.00  % (30944)Memory used [KB]: 7803
% 3.80/1.00  % (30944)Time elapsed: 0.018 s
% 3.80/1.00  % (30944)Instructions burned: 38 (million)
% 3.80/1.00  % (30944)------------------------------
% 3.80/1.00  % (30944)------------------------------
% 3.80/1.01  % (30993)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/126Mi)
% 3.80/1.01  % (30891)Instruction limit reached!
% 3.80/1.01  % (30891)------------------------------
% 3.80/1.01  % (30891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.01  % (30891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.01  % (30891)Termination reason: Unknown
% 3.80/1.01  % (30891)Termination phase: Saturation
% 3.80/1.01  
% 3.80/1.01  % (30891)Memory used [KB]: 8315
% 3.80/1.01  % (30891)Time elapsed: 0.247 s
% 3.80/1.01  % (30891)Instructions burned: 86 (million)
% 3.80/1.01  % (30891)------------------------------
% 3.80/1.01  % (30891)------------------------------
% 3.80/1.01  % (30946)Instruction limit reached!
% 3.80/1.01  % (30946)------------------------------
% 3.80/1.01  % (30946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.01  % (30946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.01  % (30946)Termination reason: Unknown
% 3.80/1.01  % (30946)Termination phase: Saturation
% 3.80/1.01  
% 3.80/1.01  % (30946)Memory used [KB]: 7419
% 3.80/1.01  % (30946)Time elapsed: 0.158 s
% 3.80/1.01  % (30946)Instructions burned: 46 (million)
% 3.80/1.01  % (30946)------------------------------
% 3.80/1.01  % (30946)------------------------------
% 3.80/1.01  % (30966)Refutation not found, incomplete strategy% (30966)------------------------------
% 3.80/1.01  % (30966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.01  % (30966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.01  % (30966)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.01  
% 3.80/1.01  % (30966)Memory used [KB]: 8315
% 3.80/1.01  % (30966)Time elapsed: 0.027 s
% 3.80/1.01  % (30966)Instructions burned: 39 (million)
% 3.80/1.01  % (30966)------------------------------
% 3.80/1.01  % (30966)------------------------------
% 3.80/1.02  % (30991)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 3.80/1.02  % (30990)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/290Mi)
% 3.80/1.02  % (30992)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/248Mi)
% 3.80/1.03  % (30995)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/139Mi)
% 3.80/1.03  % (30993)Refutation not found, incomplete strategy% (30993)------------------------------
% 3.80/1.03  % (30993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.03  % (30993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.03  % (30993)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.03  
% 3.80/1.03  % (30993)Memory used [KB]: 6524
% 3.80/1.03  % (30993)Time elapsed: 0.003 s
% 3.80/1.03  % (30993)Instructions burned: 4 (million)
% 3.80/1.03  % (30993)------------------------------
% 3.80/1.03  % (30993)------------------------------
% 3.80/1.03  % (30986)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/246Mi)
% 3.80/1.04  % (30900)Instruction limit reached!
% 3.80/1.04  % (30900)------------------------------
% 3.80/1.04  % (30900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.04  % (30900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.04  % (30900)Termination reason: Unknown
% 3.80/1.04  % (30900)Termination phase: Saturation
% 3.80/1.04  
% 3.80/1.04  % (30900)Memory used [KB]: 4093
% 3.80/1.04  % (30900)Time elapsed: 0.244 s
% 3.80/1.04  % (30900)Instructions burned: 116 (million)
% 3.80/1.04  % (30900)------------------------------
% 3.80/1.04  % (30900)------------------------------
% 3.80/1.05  % (30877)Instruction limit reached!
% 3.80/1.05  % (30877)------------------------------
% 3.80/1.05  % (30877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.05  % (30877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.05  % (30877)Termination reason: Unknown
% 3.80/1.05  % (30877)Termination phase: Saturation
% 3.80/1.05  
% 3.80/1.05  % (30877)Memory used [KB]: 8827
% 3.80/1.05  % (30877)Time elapsed: 0.331 s
% 3.80/1.05  % (30877)Instructions burned: 139 (million)
% 3.80/1.05  % (30877)------------------------------
% 3.80/1.05  % (30877)------------------------------
% 3.80/1.05  % (30992)Refutation not found, incomplete strategy% (30992)------------------------------
% 3.80/1.05  % (30992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.05  % (30992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.05  % (30992)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.05  
% 3.80/1.05  % (30992)Memory used [KB]: 6524
% 3.80/1.05  % (30992)Time elapsed: 0.004 s
% 3.80/1.05  % (30992)Instructions burned: 5 (million)
% 3.80/1.05  % (30992)------------------------------
% 3.80/1.05  % (30992)------------------------------
% 3.80/1.05  % (30996)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/121Mi)
% 3.80/1.05  % (30995)Refutation not found, incomplete strategy% (30995)------------------------------
% 3.80/1.05  % (30995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.05  % (30995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.05  % (30995)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.05  
% 3.80/1.05  % (30995)Memory used [KB]: 6524
% 3.80/1.05  % (30995)Time elapsed: 0.004 s
% 3.80/1.05  % (30995)Instructions burned: 6 (million)
% 3.80/1.05  % (30995)------------------------------
% 3.80/1.05  % (30995)------------------------------
% 4.48/1.05  % (30997)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/92Mi)
% 4.48/1.05  % (30969)Refutation not found, incomplete strategy% (30969)------------------------------
% 4.48/1.05  % (30969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/1.05  % (30969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/1.05  % (30969)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.05  
% 4.48/1.05  % (30969)Memory used [KB]: 9338
% 4.48/1.05  % (30969)Time elapsed: 0.025 s
% 4.48/1.05  % (30969)Instructions burned: 41 (million)
% 4.48/1.05  % (30969)------------------------------
% 4.48/1.05  % (30969)------------------------------
% 4.48/1.06  % (30998)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/43Mi)
% 4.48/1.06  % (30994)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/997Mi)
% 4.48/1.06  % (30996)Refutation not found, incomplete strategy% (30996)------------------------------
% 4.48/1.06  % (30996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/1.06  % (30996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/1.06  % (30996)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.06  
% 4.48/1.06  % (30996)Memory used [KB]: 6524
% 4.48/1.06  % (30996)Time elapsed: 0.004 s
% 4.48/1.06  % (30996)Instructions burned: 4 (million)
% 4.48/1.06  % (30996)------------------------------
% 4.48/1.06  % (30996)------------------------------
% 4.48/1.06  % (30994)Refutation not found, incomplete strategy% (30994)------------------------------
% 4.48/1.06  % (30994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/1.06  % (30994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/1.06  % (30994)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.06  
% 4.48/1.06  % (30994)Memory used [KB]: 6524
% 4.48/1.06  % (30994)Time elapsed: 0.002 s
% 4.48/1.06  % (30994)Instructions burned: 2 (million)
% 4.48/1.06  % (30994)------------------------------
% 4.48/1.06  % (30994)------------------------------
% 4.48/1.07  % (30952)Instruction limit reached!
% 4.48/1.07  % (30952)------------------------------
% 4.48/1.07  % (30952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.48/1.07  % (30952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.48/1.07  % (30952)Termination reason: Unknown
% 4.48/1.07  % (30952)Termination phase: Saturation
% 4.48/1.07  
% 4.48/1.07  % (30952)Memory used [KB]: 8059
% 4.48/1.07  % (30952)Time elapsed: 0.043 s
% 4.48/1.07  % (30952)Instructions burned: 93 (million)
% 4.48/1.07  % (30952)------------------------------
% 4.48/1.07  % (30952)------------------------------
% 5.52/1.08  % (30942)Refutation not found, incomplete strategy% (30942)------------------------------
% 5.52/1.08  % (30942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.52/1.08  % (30942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.52/1.08  % (30942)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.08  
% 5.52/1.08  % (30942)Memory used [KB]: 3709
% 5.52/1.08  % (30942)Time elapsed: 0.248 s
% 5.52/1.08  % (30942)Instructions burned: 88 (million)
% 5.52/1.08  % (30942)------------------------------
% 5.52/1.08  % (30942)------------------------------
% 5.52/1.10  % (30991)Instruction limit reached!
% 5.52/1.10  % (30991)------------------------------
% 5.52/1.10  % (30991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.52/1.10  % (30998)Instruction limit reached!
% 5.52/1.10  % (30998)------------------------------
% 5.52/1.10  % (30998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.52/1.10  % (30998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.52/1.10  % (30998)Termination reason: Unknown
% 5.52/1.10  % (30998)Termination phase: Saturation
% 5.52/1.10  
% 5.52/1.10  % (30998)Memory used [KB]: 7675
% 5.52/1.10  % (30998)Time elapsed: 0.032 s
% 5.52/1.10  % (30998)Instructions burned: 44 (million)
% 5.52/1.10  % (30998)------------------------------
% 5.52/1.10  % (30998)------------------------------
% 5.52/1.11  % (30890)Instruction limit reached!
% 5.52/1.11  % (30890)------------------------------
% 5.52/1.11  % (30890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.52/1.11  % (30890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.52/1.11  % (30890)Termination reason: Unknown
% 5.52/1.11  % (30890)Termination phase: Saturation
% 5.52/1.11  
% 5.52/1.11  % (30890)Memory used [KB]: 4349
% 5.52/1.11  % (30890)Time elapsed: 0.339 s
% 5.52/1.11  % (30890)Instructions burned: 227 (million)
% 5.52/1.11  % (30890)------------------------------
% 5.52/1.11  % (30890)------------------------------
% 5.52/1.11  % (30991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.52/1.11  % (30991)Termination reason: Unknown
% 5.52/1.11  % (30991)Termination phase: Saturation
% 5.52/1.11  
% 5.52/1.11  % (30991)Memory used [KB]: 3709
% 5.52/1.11  % (30991)Time elapsed: 0.185 s
% 5.52/1.11  % (30991)Instructions burned: 68 (million)
% 5.52/1.11  % (30991)------------------------------
% 5.52/1.11  % (30991)------------------------------
% 5.52/1.11  % (31002)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=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/437Mi)
% 5.52/1.12  % (30999)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/50Mi)
% 5.87/1.12  % (31000)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9Mi)
% 5.87/1.12  % (31001)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/915Mi)
% 5.87/1.14  % (31001)Refutation not found, incomplete strategy% (31001)------------------------------
% 5.87/1.14  % (31001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.87/1.14  % (31001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.87/1.14  % (31001)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.14  
% 5.87/1.14  % (31001)Memory used [KB]: 6524
% 5.87/1.14  % (31001)Time elapsed: 0.003 s
% 5.87/1.14  % (31001)Instructions burned: 2 (million)
% 5.87/1.14  % (31001)------------------------------
% 5.87/1.14  % (31001)------------------------------
% 5.87/1.14  % (31000)Instruction limit reached!
% 5.87/1.14  % (31000)------------------------------
% 5.87/1.14  % (31000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.87/1.14  % (31003)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/206Mi)
% 5.87/1.15  % (31003)Refutation not found, incomplete strategy% (31003)------------------------------
% 5.87/1.15  % (31003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.87/1.15  % (31003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.87/1.15  % (31003)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.15  
% 5.87/1.15  % (31003)Memory used [KB]: 6524
% 5.87/1.15  % (31003)Time elapsed: 0.006 s
% 5.87/1.15  % (31003)Instructions burned: 4 (million)
% 5.87/1.15  % (31003)------------------------------
% 5.87/1.15  % (31003)------------------------------
% 5.87/1.15  % (31004)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1287Mi)
% 5.87/1.15  % (31000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.87/1.15  % (31000)Termination reason: Unknown
% 5.87/1.15  % (31000)Termination phase: Preprocessing 3
% 5.87/1.15  % (31005)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=1501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1501Mi)
% 5.87/1.15  
% 5.87/1.15  % (31000)Memory used [KB]: 2302
% 5.87/1.15  % (31000)Time elapsed: 0.006 s
% 5.87/1.15  % (31000)Instructions burned: 10 (million)
% 5.87/1.15  % (31000)------------------------------
% 5.87/1.15  % (31000)------------------------------
% 5.87/1.15  % (31005)Refutation not found, incomplete strategy% (31005)------------------------------
% 5.87/1.15  % (31005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.87/1.15  % (31005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.87/1.15  % (31005)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.15  
% 5.87/1.15  % (31005)Memory used [KB]: 6524
% 5.87/1.15  % (31005)Time elapsed: 0.002 s
% 5.87/1.15  % (31005)Instructions burned: 2 (million)
% 5.87/1.15  % (31005)------------------------------
% 5.87/1.15  % (31005)------------------------------
% 6.14/1.16  % (31012)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=80:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/80Mi)
% 6.14/1.16  % (31006)dis+1011_1:1_bd=off:fd=preordered:fde=unused:sfv=off:sos=on:sp=reverse_frequency:spb=goal:to=lpo:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/32Mi)
% 6.14/1.16  % (30990)Refutation not found, incomplete strategy% (30990)------------------------------
% 6.14/1.16  % (30990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.16  % (30990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.16  % (30990)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.16  
% 6.14/1.16  % (30990)Memory used [KB]: 8571
% 6.14/1.16  % (30990)Time elapsed: 0.246 s
% 6.14/1.16  % (30990)Instructions burned: 91 (million)
% 6.14/1.16  % (30990)------------------------------
% 6.14/1.16  % (30990)------------------------------
% 6.14/1.16  % (31009)lrs+10_1:1_bsr=on:lma=on:sac=on:sos=all:spb=units:to=lpo:i=115:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/115Mi)
% 6.14/1.17  % (31010)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/93Mi)
% 6.14/1.17  % (30950)Instruction limit reached!
% 6.14/1.17  % (30950)------------------------------
% 6.14/1.17  % (30950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.17  % (30950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.17  % (30950)Termination reason: Unknown
% 6.14/1.17  % (30950)Termination phase: Saturation
% 6.14/1.17  
% 6.14/1.17  % (30950)Memory used [KB]: 9210
% 6.14/1.17  % (30950)Time elapsed: 0.305 s
% 6.14/1.17  % (30950)Instructions burned: 137 (million)
% 6.14/1.17  % (30950)------------------------------
% 6.14/1.17  % (30950)------------------------------
% 6.14/1.17  % (31007)dis+4_1:64_av=off:bce=on:flr=on:lcm=reverse:sfv=off:sos=all:i=117:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/117Mi)
% 6.14/1.18  % (30999)Refutation not found, incomplete strategy% (30999)------------------------------
% 6.14/1.18  % (30999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.18  % (30999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.18  % (30999)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.18  
% 6.14/1.18  % (30999)Memory used [KB]: 8059
% 6.14/1.18  % (30999)Time elapsed: 0.019 s
% 6.14/1.18  % (30999)Instructions burned: 40 (million)
% 6.14/1.18  % (30999)------------------------------
% 6.14/1.18  % (30999)------------------------------
% 6.14/1.19  % (31013)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=251:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/251Mi)
% 6.14/1.19  % (30997)Instruction limit reached!
% 6.14/1.19  % (30997)------------------------------
% 6.14/1.19  % (30997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.19  % (30997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.19  % (30997)Termination reason: Unknown
% 6.14/1.19  % (30997)Termination phase: Saturation
% 6.14/1.19  
% 6.14/1.19  % (30997)Memory used [KB]: 8315
% 6.14/1.19  % (30997)Time elapsed: 0.043 s
% 6.14/1.19  % (30997)Instructions burned: 92 (million)
% 6.14/1.19  % (30997)------------------------------
% 6.14/1.19  % (30997)------------------------------
% 6.14/1.19  % (31014)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=94:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/94Mi)
% 6.14/1.19  % (31011)lrs+1_1:16_av=off:fd=off:newcnf=on:nm=10:sims=off:sos=on:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/92Mi)
% 6.14/1.20  % (31008)lrs+11_1:1_bd=off:erd=off:plsq=on:plsqr=32,1:sfv=off:sos=all:i=283:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/283Mi)
% 6.14/1.21  % (31015)lrs+30_1:3_aac=none:abs=on:avsq=on:avsql=on:avsqr=1,16:er=filter:fde=none:fsr=off:kws=inv_frequency:nwc=5.0:suph=off:i=285:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/285Mi)
% 6.14/1.21  % (31006)Instruction limit reached!
% 6.14/1.21  % (31006)------------------------------
% 6.14/1.21  % (31006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.21  % (31006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.21  % (31006)Termination reason: Unknown
% 6.14/1.21  % (31006)Termination phase: Saturation
% 6.14/1.21  
% 6.14/1.21  % (31006)Memory used [KB]: 3454
% 6.14/1.21  % (31006)Time elapsed: 0.016 s
% 6.14/1.21  % (31006)Instructions burned: 33 (million)
% 6.14/1.21  % (31006)------------------------------
% 6.14/1.21  % (31006)------------------------------
% 6.14/1.22  % (31002)Refutation not found, incomplete strategy% (31002)------------------------------
% 6.14/1.22  % (31002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.22  % (31002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.22  % (31002)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.22  
% 6.14/1.22  % (31002)Memory used [KB]: 8443
% 6.14/1.22  % (31002)Time elapsed: 0.026 s
% 6.14/1.22  % (31002)Instructions burned: 44 (million)
% 6.14/1.22  % (31002)------------------------------
% 6.14/1.22  % (31002)------------------------------
% 6.14/1.22  % (31009)Refutation not found, incomplete strategy% (31009)------------------------------
% 6.14/1.22  % (31009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.22  % (31009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.22  % (31009)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.22  
% 6.14/1.22  % (31009)Memory used [KB]: 8443
% 6.14/1.22  % (31009)Time elapsed: 0.043 s
% 6.14/1.22  % (31009)Instructions burned: 41 (million)
% 6.14/1.22  % (31009)------------------------------
% 6.14/1.22  % (31009)------------------------------
% 6.14/1.22  % (31007)Refutation not found, incomplete strategy% (31007)------------------------------
% 6.14/1.22  % (31007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.23  % (31017)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/73Mi)
% 6.55/1.24  % (31016)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=1486:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1486Mi)
% 6.55/1.24  % (31018)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=106:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/106Mi)
% 6.55/1.24  % (31011)Refutation not found, incomplete strategy% (31011)------------------------------
% 6.55/1.24  % (31011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.25  % (31007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.25  % (31007)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.25  
% 6.55/1.25  % (31007)Memory used [KB]: 3837
% 6.55/1.25  % (31007)Time elapsed: 0.023 s
% 6.55/1.25  % (31007)Instructions burned: 40 (million)
% 6.55/1.25  % (31007)------------------------------
% 6.55/1.25  % (31007)------------------------------
% 6.55/1.25  % (31013)Refutation not found, incomplete strategy% (31013)------------------------------
% 6.55/1.25  % (31013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.25  % (31021)lrs+1011_3:1_acc=model:fsr=off:gsp=on:sd=1:ss=axioms:st=5.0:urr=on:i=376:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/376Mi)
% 6.55/1.26  % (31011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.26  % (31011)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.26  
% 6.55/1.26  % (31011)Memory used [KB]: 3709
% 6.55/1.26  % (31011)Time elapsed: 0.023 s
% 6.55/1.26  % (31011)Instructions burned: 39 (million)
% 6.55/1.26  % (31011)------------------------------
% 6.55/1.26  % (31011)------------------------------
% 6.55/1.26  % (31023)ott-3_2:1_acc=on:add=large:anc=none:fde=none:gsp=on:irw=on:nm=0:s2a=on:sd=4:sos=on:ss=axioms:st=1.2:urr=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/134Mi)
% 6.55/1.27  % (30917)Instruction limit reached!
% 6.55/1.27  % (30917)------------------------------
% 6.55/1.27  % (30917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.27  % (31013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.27  % (31013)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.27  
% 6.55/1.27  % (31013)Memory used [KB]: 9338
% 6.55/1.27  % (31013)Time elapsed: 0.023 s
% 6.55/1.27  % (31013)Instructions burned: 41 (million)
% 6.55/1.27  % (31013)------------------------------
% 6.55/1.27  % (31013)------------------------------
% 6.55/1.27  % (30929)Instruction limit reached!
% 6.55/1.27  % (30929)------------------------------
% 6.55/1.27  % (30929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.27  % (31020)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/103Mi)
% 6.55/1.27  % (31008)Refutation not found, incomplete strategy% (31008)------------------------------
% 6.55/1.27  % (31008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.27  % (31008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.27  % (31008)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.27  
% 6.55/1.27  % (31008)Memory used [KB]: 7931
% 6.55/1.27  % (31008)Time elapsed: 0.019 s
% 6.55/1.27  % (31008)Instructions burned: 33 (million)
% 6.55/1.27  % (31008)------------------------------
% 6.55/1.27  % (31008)------------------------------
% 6.55/1.27  % (30929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.27  % (30929)Termination reason: Unknown
% 6.55/1.27  % (30929)Termination phase: Saturation
% 6.55/1.27  
% 6.55/1.27  % (30929)Memory used [KB]: 11769
% 6.55/1.27  % (30929)Time elapsed: 0.141 s
% 6.55/1.27  % (30929)Instructions burned: 288 (million)
% 6.55/1.27  % (30929)------------------------------
% 6.55/1.27  % (30929)------------------------------
% 6.55/1.27  % (31020)Refutation not found, incomplete strategy% (31020)------------------------------
% 6.55/1.27  % (31020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.27  % (31020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.27  % (31020)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.27  
% 6.55/1.27  % (31020)Memory used [KB]: 6524
% 6.55/1.27  % (31020)Time elapsed: 0.003 s
% 6.55/1.27  % (31020)Instructions burned: 3 (million)
% 6.55/1.27  % (31020)------------------------------
% 6.55/1.27  % (31020)------------------------------
% 6.55/1.27  % (31021)Refutation not found, incomplete strategy% (31021)------------------------------
% 6.55/1.27  % (31021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.27  % (31021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.27  % (31021)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.27  
% 6.55/1.27  % (31021)Memory used [KB]: 6524
% 6.55/1.27  % (31021)Time elapsed: 0.004 s
% 6.55/1.27  % (31021)Instructions burned: 4 (million)
% 6.55/1.27  % (31021)------------------------------
% 6.55/1.27  % (31021)------------------------------
% 6.55/1.28  % (31012)Instruction limit reached!
% 6.55/1.28  % (31012)------------------------------
% 6.55/1.28  % (31012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.55/1.28  % (31012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.55/1.28  % (31012)Termination reason: Unknown
% 6.55/1.28  % (31012)Termination phase: Saturation
% 6.55/1.28  
% 6.55/1.28  % (31012)Memory used [KB]: 8059
% 6.55/1.28  % (31012)Time elapsed: 0.176 s
% 6.55/1.28  % (31012)Instructions burned: 80 (million)
% 6.55/1.28  % (31012)------------------------------
% 6.55/1.28  % (31012)------------------------------
% 6.79/1.28  % (31023)Refutation not found, incomplete strategy% (31023)------------------------------
% 6.79/1.28  % (31023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.28  % (31023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.28  % (31023)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.28  
% 6.79/1.28  % (31023)Memory used [KB]: 6524
% 6.79/1.28  % (31023)Time elapsed: 0.004 s
% 6.79/1.28  % (31023)Instructions burned: 6 (million)
% 6.79/1.28  % (31023)------------------------------
% 6.79/1.28  % (31023)------------------------------
% 6.79/1.28  % (31022)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1345Mi)
% 6.79/1.28  % (31022)Refutation not found, incomplete strategy% (31022)------------------------------
% 6.79/1.28  % (31022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.28  % (31022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.28  % (31022)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.28  
% 6.79/1.28  % (31022)Memory used [KB]: 6524
% 6.79/1.28  % (31022)Time elapsed: 0.002 s
% 6.79/1.28  % (31022)Instructions burned: 2 (million)
% 6.79/1.28  % (31022)------------------------------
% 6.79/1.28  % (31022)------------------------------
% 6.79/1.28  % (31026)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/82Mi)
% 6.79/1.28  % (31019)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1488Mi)
% 6.79/1.28  % (30917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.28  % (30917)Termination reason: Unknown
% 6.79/1.28  % (30917)Termination phase: Saturation
% 6.79/1.28  
% 6.79/1.28  % (30917)Memory used [KB]: 4221
% 6.79/1.28  % (30917)Time elapsed: 0.470 s
% 6.79/1.28  % (30917)Instructions burned: 360 (million)
% 6.79/1.28  % (30917)------------------------------
% 6.79/1.28  % (30917)------------------------------
% 6.79/1.29  % (31019)Refutation not found, incomplete strategy% (31019)------------------------------
% 6.79/1.29  % (31019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.29  % (31019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.29  % (31019)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.29  
% 6.79/1.29  % (31019)Memory used [KB]: 6524
% 6.79/1.29  % (31019)Time elapsed: 0.003 s
% 6.79/1.29  % (31019)Instructions burned: 3 (million)
% 6.79/1.29  % (31019)------------------------------
% 6.79/1.29  % (31019)------------------------------
% 6.79/1.29  % (31024)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=1498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1498Mi)
% 6.79/1.30  % (31018)Refutation not found, incomplete strategy% (31018)------------------------------
% 6.79/1.30  % (31018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.30  % (31018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.30  % (31018)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.30  
% 6.79/1.30  % (31018)Memory used [KB]: 8315
% 6.79/1.30  % (31018)Time elapsed: 0.022 s
% 6.79/1.30  % (31018)Instructions burned: 38 (million)
% 6.79/1.30  % (31018)------------------------------
% 6.79/1.30  % (31018)------------------------------
% 6.79/1.30  % (31017)Instruction limit reached!
% 6.79/1.30  % (31017)------------------------------
% 6.79/1.30  % (31017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.30  % (31017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.30  % (31017)Termination reason: Unknown
% 6.79/1.30  % (31017)Termination phase: Saturation
% 6.79/1.30  
% 6.79/1.30  % (31017)Memory used [KB]: 2942
% 6.79/1.30  % (31017)Time elapsed: 0.172 s
% 6.79/1.30  % (31017)Instructions burned: 74 (million)
% 6.79/1.30  % (31017)------------------------------
% 6.79/1.30  % (31017)------------------------------
% 6.79/1.31  % (31010)Instruction limit reached!
% 6.79/1.31  % (31010)------------------------------
% 6.79/1.31  % (31010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.31  % (31010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.31  % (31010)Termination reason: Unknown
% 6.79/1.31  % (31010)Termination phase: Saturation
% 6.79/1.31  
% 6.79/1.31  % (31010)Memory used [KB]: 8315
% 6.79/1.31  % (31010)Time elapsed: 0.043 s
% 6.79/1.31  % (31010)Instructions burned: 93 (million)
% 6.79/1.31  % (31010)------------------------------
% 6.79/1.31  % (31010)------------------------------
% 6.79/1.31  % (31024)Refutation not found, incomplete strategy% (31024)------------------------------
% 6.79/1.31  % (31024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.31  % (31024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.31  % (31024)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.31  
% 6.79/1.31  % (31024)Memory used [KB]: 6524
% 6.79/1.31  % (31024)Time elapsed: 0.003 s
% 6.79/1.31  % (31024)Instructions burned: 2 (million)
% 6.79/1.31  % (31024)------------------------------
% 6.79/1.31  % (31024)------------------------------
% 6.79/1.31  % (31025)dis+1002_1:5_acc=on:afp=1010:fsr=off:gsp=on:nm=10:sac=on:sos=on:sp=unary_first:urr=ec_only:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/177Mi)
% 6.79/1.31  % (31015)Refutation not found, incomplete strategy% (31015)------------------------------
% 6.79/1.31  % (31015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.31  % (31015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.31  % (31015)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.31  
% 6.79/1.31  % (31015)Memory used [KB]: 8187
% 6.79/1.31  % (31015)Time elapsed: 0.194 s
% 6.79/1.31  % (31015)Instructions burned: 70 (million)
% 6.79/1.31  % (31015)------------------------------
% 6.79/1.31  % (31015)------------------------------
% 6.79/1.33  % (31028)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/176Mi)
% 7.24/1.34  % (31029)dis+1011_1:32_bd=off:fde=unused:plsq=on:plsqc=2:plsqr=175,8:s2a=on:sp=frequency:spb=goal:ss=included:st=2.0:to=lpo:i=669:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/669Mi)
% 7.24/1.35  % (31027)lrs+1002_1:1_fde=none:sd=2:sos=on:sp=const_max:ss=axioms:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/274Mi)
% 7.24/1.35  % (31027)Refutation not found, incomplete strategy% (31027)------------------------------
% 7.24/1.35  % (31027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.24/1.35  % (31027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.24/1.35  % (31027)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.35  
% 7.24/1.35  % (31027)Memory used [KB]: 6524
% 7.24/1.35  % (31027)Time elapsed: 0.002 s
% 7.24/1.35  % (31027)Instructions burned: 2 (million)
% 7.24/1.35  % (31027)------------------------------
% 7.24/1.35  % (31027)------------------------------
% 7.24/1.35  % (31014)Instruction limit reached!
% 7.24/1.35  % (31014)------------------------------
% 7.24/1.35  % (31014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.24/1.35  % (31014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.24/1.35  % (31014)Termination reason: Unknown
% 7.24/1.35  % (31014)Termination phase: Saturation
% 7.24/1.35  
% 7.24/1.35  % (31014)Memory used [KB]: 8443
% 7.24/1.35  % (31014)Time elapsed: 0.044 s
% 7.24/1.35  % (31014)Instructions burned: 95 (million)
% 7.24/1.35  % (31014)------------------------------
% 7.24/1.35  % (31014)------------------------------
% 7.24/1.35  % (30918)Instruction limit reached!
% 7.24/1.35  % (30918)------------------------------
% 7.24/1.35  % (30918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.24/1.35  % (30918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.24/1.35  % (30918)Termination reason: Unknown
% 7.24/1.35  % (30918)Termination phase: Saturation
% 7.24/1.35  
% 7.24/1.35  % (30918)Memory used [KB]: 9594
% 7.24/1.35  % (30918)Time elapsed: 0.179 s
% 7.24/1.35  % (30918)Instructions burned: 368 (million)
% 7.24/1.35  % (30918)------------------------------
% 7.24/1.35  % (30918)------------------------------
% 7.38/1.37  % (31025)Refutation not found, incomplete strategy% (31025)------------------------------
% 7.38/1.37  % (31025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.38/1.37  % (31030)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/156Mi)
% 7.38/1.37  % (30986)Instruction limit reached!
% 7.38/1.37  % (30986)------------------------------
% 7.38/1.37  % (30986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.38/1.37  % (31025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.38/1.37  % (31025)Termination reason: Refutation not found, incomplete strategy
% 7.38/1.37  
% 7.38/1.38  % (31025)Memory used [KB]: 8571
% 7.38/1.38  % (31025)Time elapsed: 0.033 s
% 7.38/1.38  % (31025)Instructions burned: 42 (million)
% 7.38/1.38  % (31025)------------------------------
% 7.38/1.38  % (31025)------------------------------
% 7.38/1.38  % (31036)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/503Mi)
% 7.38/1.38  % (31040)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/45Mi)
% 7.38/1.38  % (31037)lrs+10_1:1_sos=on:ss=included:st=1.2:urr=on:i=236:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/236Mi)
% 7.38/1.38  % (31031)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=1735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1735Mi)
% 7.38/1.38  % (31026)Instruction limit reached!
% 7.38/1.38  % (31026)------------------------------
% 7.38/1.38  % (31026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.38/1.38  % (31026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.38/1.38  % (31026)Termination reason: Unknown
% 7.38/1.38  % (31026)Termination phase: Finite model building preprocessing
% 7.38/1.38  
% 7.38/1.38  % (31026)Memory used [KB]: 4477
% 7.38/1.38  % (31026)Time elapsed: 0.032 s
% 7.38/1.38  % (31026)Instructions burned: 83 (million)
% 7.38/1.38  % (31026)------------------------------
% 7.38/1.38  % (31026)------------------------------
% 7.38/1.39  % (30986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.38/1.39  % (30986)Termination reason: Unknown
% 7.38/1.39  % (30986)Termination phase: Saturation
% 7.38/1.39  
% 7.38/1.39  % (30986)Memory used [KB]: 8827
% 7.38/1.39  % (30986)Time elapsed: 0.465 s
% 7.38/1.39  % (30986)Instructions burned: 246 (million)
% 7.38/1.39  % (30986)------------------------------
% 7.38/1.39  % (30986)------------------------------
% 7.38/1.39  % (31032)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2681:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/2681Mi)
% 7.38/1.39  % (31041)dis+1010_1:1_acc=model:bd=off:ins=1:nwc=5.0:sp=reverse_frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/279Mi)
% 7.38/1.39  % (31035)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3303Mi)
% 7.38/1.39  % (30893)Instruction limit reached!
% 7.38/1.39  % (30893)------------------------------
% 7.38/1.39  % (30893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.38/1.39  % (30893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.38/1.39  % (30893)Termination reason: Unknown
% 7.38/1.39  % (30893)Termination phase: Saturation
% 7.38/1.39  
% 7.38/1.39  % (30893)Memory used [KB]: 9466
% 7.38/1.39  % (30893)Time elapsed: 0.199 s
% 7.38/1.39  % (30893)Instructions burned: 377 (million)
% 7.38/1.39  % (30893)------------------------------
% 7.38/1.39  % (30893)------------------------------
% 7.38/1.40  % (31033)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=432:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/432Mi)
% 7.38/1.40  % (31033)Refutation not found, incomplete strategy% (31033)------------------------------
% 7.38/1.40  % (31033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.38/1.40  % (31033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.38/1.40  % (31033)Termination reason: Refutation not found, incomplete strategy
% 7.38/1.40  
% 7.38/1.40  % (31033)Memory used [KB]: 6524
% 7.38/1.40  % (31033)Time elapsed: 0.002 s
% 7.38/1.40  % (31033)Instructions burned: 2 (million)
% 7.38/1.40  % (31033)------------------------------
% 7.38/1.40  % (31033)------------------------------
% 7.38/1.41  % (31039)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/2543Mi)
% 7.38/1.41  % (31034)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/440Mi)
% 7.63/1.42  % (31038)lrs+11_3:1_br=off:flr=on:sgt=8:ss=axioms:urr=on:i=128:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/128Mi)
% 7.63/1.42  % (31038)Refutation not found, incomplete strategy% (31038)------------------------------
% 7.63/1.42  % (31038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.63/1.42  % (31038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.63/1.42  % (31038)Termination reason: Refutation not found, incomplete strategy
% 7.63/1.42  
% 7.63/1.42  % (31038)Memory used [KB]: 6524
% 7.63/1.42  % (31038)Time elapsed: 0.003 s
% 7.63/1.42  % (31038)Instructions burned: 3 (million)
% 7.63/1.42  % (31038)------------------------------
% 7.63/1.42  % (31038)------------------------------
% 7.63/1.42  % (31043)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/121Mi)
% 7.63/1.42  % (31042)lrs+0_1:1_br=off:drc=off:erd=off:urr=ec_only:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/997Mi)
% 7.63/1.43  % (31028)Refutation not found, incomplete strategy% (31028)------------------------------
% 7.63/1.43  % (31028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.63/1.43  % (31028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.63/1.43  % (31028)Termination reason: Refutation not found, incomplete strategy
% 7.63/1.43  
% 7.63/1.43  % (31028)Memory used [KB]: 8955
% 7.63/1.43  % (31028)Time elapsed: 0.032 s
% 7.63/1.43  % (31028)Instructions burned: 66 (million)
% 7.63/1.43  % (31028)------------------------------
% 7.63/1.43  % (31028)------------------------------
% 7.63/1.43  % (31030)Refutation not found, incomplete strategy% (31030)------------------------------
% 7.63/1.43  % (31030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.63/1.43  % (31030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.63/1.43  % (31030)Termination reason: Refutation not found, incomplete strategy
% 7.63/1.43  
% 7.63/1.43  % (31030)Memory used [KB]: 3709
% 7.63/1.43  % (31030)Time elapsed: 0.025 s
% 7.63/1.43  % (31030)Instructions burned: 39 (million)
% 7.63/1.43  % (31030)------------------------------
% 7.63/1.43  % (31030)------------------------------
% 7.63/1.44  % (31044)lrs+10_1:32_br=off:gsp=on:nm=6:nwc=5.0:urr=on:i=53:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/53Mi)
% 7.63/1.44  % (31040)Instruction limit reached!
% 7.63/1.44  % (31040)------------------------------
% 7.63/1.44  % (31040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.63/1.44  % (31045)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/265Mi)
% 7.63/1.45  % (31046)dis+10_1:5_bsr=on:drc=off:ins=1:nwc=2.8:sp=reverse_frequency:to=lpo:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/84Mi)
% 7.79/1.46  % (31037)Refutation not found, incomplete strategy% (31037)------------------------------
% 7.79/1.46  % (31037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.46  % (31048)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1290Mi)
% 7.79/1.46  % (31040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.46  % (31040)Termination reason: Unknown
% 7.79/1.46  % (31040)Termination phase: Saturation
% 7.79/1.46  
% 7.79/1.46  % (31040)Memory used [KB]: 7419
% 7.79/1.46  % (31040)Time elapsed: 0.111 s
% 7.79/1.46  % (31040)Instructions burned: 47 (million)
% 7.79/1.46  % (31040)------------------------------
% 7.79/1.46  % (31040)------------------------------
% 7.79/1.46  % (31039)Refutation not found, incomplete strategy% (31039)------------------------------
% 7.79/1.46  % (31039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.46  % (31039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.46  % (31039)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.46  
% 7.79/1.46  % (31039)Memory used [KB]: 7803
% 7.79/1.46  % (31039)Time elapsed: 0.016 s
% 7.79/1.46  % (31039)Instructions burned: 37 (million)
% 7.79/1.46  % (31039)------------------------------
% 7.79/1.46  % (31039)------------------------------
% 7.79/1.46  % (31035)Refutation not found, incomplete strategy% (31035)------------------------------
% 7.79/1.46  % (31035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.46  % (31035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.46  % (31035)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.46  
% 7.79/1.46  % (31035)Memory used [KB]: 8315
% 7.79/1.46  % (31035)Time elapsed: 0.023 s
% 7.79/1.46  % (31035)Instructions burned: 41 (million)
% 7.79/1.46  % (31035)------------------------------
% 7.79/1.46  % (31035)------------------------------
% 7.79/1.46  % (31037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.46  % (31037)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.46  
% 7.79/1.46  % (31037)Memory used [KB]: 8571
% 7.79/1.46  % (31037)Time elapsed: 0.026 s
% 7.79/1.46  % (31037)Instructions burned: 44 (million)
% 7.79/1.46  % (31037)------------------------------
% 7.79/1.46  % (31037)------------------------------
% 7.79/1.47  % (31047)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=162:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/162Mi)
% 7.79/1.47  % (31049)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=3040:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3040Mi)
% 7.79/1.48  % (30919)Instruction limit reached!
% 7.79/1.48  % (30919)------------------------------
% 7.79/1.48  % (30919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.50  % (30919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.50  % (30919)Termination reason: Unknown
% 7.79/1.50  % (30919)Termination phase: Saturation
% 7.79/1.50  
% 7.79/1.50  % (30919)Memory used [KB]: 9850
% 7.79/1.50  % (30919)Time elapsed: 0.223 s
% 7.79/1.50  % (30919)Instructions burned: 426 (million)
% 7.79/1.50  % (30919)------------------------------
% 7.79/1.50  % (30919)------------------------------
% 7.79/1.50  % (31051)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=163:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/163Mi)
% 7.79/1.50  % (31052)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/201Mi)
% 7.79/1.51  % (31053)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=3643:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/3643Mi)
% 7.79/1.51  % (31044)Instruction limit reached!
% 7.79/1.51  % (31044)------------------------------
% 7.79/1.51  % (31044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.53  % (31055)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=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/292Mi)
% 7.79/1.53  % (31044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.53  % (31044)Termination reason: Unknown
% 7.79/1.53  % (31044)Termination phase: Saturation
% 7.79/1.53  
% 7.79/1.53  % (31044)Memory used [KB]: 7803
% 7.79/1.53  % (31044)Time elapsed: 0.026 s
% 7.79/1.53  % (31044)Instructions burned: 54 (million)
% 7.79/1.53  % (31044)------------------------------
% 7.79/1.53  % (31044)------------------------------
% 7.79/1.53  % (31050)dis+10_1:4_abs=on:bsd=on:fsd=on:nwc=3.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,8:i=192:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/192Mi)
% 7.79/1.53  % (31047)Refutation not found, incomplete strategy% (31047)------------------------------
% 7.79/1.53  % (31047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.79/1.53  % (31047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.79/1.53  % (31047)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.53  
% 7.79/1.53  % (31047)Memory used [KB]: 12792
% 7.79/1.53  % (31047)Time elapsed: 0.029 s
% 7.79/1.53  % (31047)Instructions burned: 51 (million)
% 7.79/1.53  % (31047)------------------------------
% 7.79/1.53  % (31047)------------------------------
% 8.15/1.54  % (31054)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/729Mi)
% 8.15/1.55  % (31032)Refutation not found, incomplete strategy% (31032)------------------------------
% 8.15/1.55  % (31032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.55  % (31032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.55  % (31032)Termination reason: Refutation not found, incomplete strategy
% 8.15/1.55  
% 8.15/1.55  % (31032)Memory used [KB]: 4221
% 8.15/1.55  % (31032)Time elapsed: 0.243 s
% 8.15/1.55  % (31032)Instructions burned: 107 (million)
% 8.15/1.55  % (31032)------------------------------
% 8.15/1.55  % (31032)------------------------------
% 8.15/1.56  % (31046)Instruction limit reached!
% 8.15/1.56  % (31046)------------------------------
% 8.15/1.56  % (31046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.56  % (31046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.56  % (31046)Termination reason: Unknown
% 8.15/1.56  % (31046)Termination phase: Saturation
% 8.15/1.56  
% 8.15/1.56  % (31046)Memory used [KB]: 8571
% 8.15/1.56  % (31046)Time elapsed: 0.223 s
% 8.15/1.56  % (31046)Instructions burned: 85 (million)
% 8.15/1.56  % (31046)------------------------------
% 8.15/1.56  % (31046)------------------------------
% 8.15/1.57  % (31056)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/73Mi)
% 8.15/1.57  % (31058)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=348:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/348Mi)
% 8.15/1.57  % (31057)lrs+21_1:8_av=off:bs=unit_only:drc=off:flr=on:lwlo=on:nwc=10.0:slsq=on:slsqr=1,4:tgt=ground:to=lpo:urr=on:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1174Mi)
% 8.32/1.59  % (31048)Refutation not found, incomplete strategy% (31048)------------------------------
% 8.32/1.59  % (31048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.32/1.59  % (31059)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/772Mi)
% 8.32/1.59  % (31061)dis+1010_1:1024_av=off:awrs=converge:awrsf=256:bce=on:bsr=on:fde=unused:gs=on:ins=1:nwc=3.0:s2a=on:skr=on:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/388Mi)
% 8.32/1.60  % (31048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.32/1.60  % (31048)Termination reason: Refutation not found, incomplete strategy
% 8.32/1.60  
% 8.32/1.60  % (31048)Memory used [KB]: 8571
% 8.32/1.60  % (31048)Time elapsed: 0.204 s
% 8.32/1.60  % (31048)Instructions burned: 92 (million)
% 8.32/1.60  % (31048)------------------------------
% 8.32/1.60  % (31048)------------------------------
% 8.32/1.61  % (31043)Instruction limit reached!
% 8.32/1.61  % (31043)------------------------------
% 8.32/1.61  % (31043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.32/1.61  % (31060)lrs+10_1:1_anc=all:br=off:newcnf=on:s2a=on:s2at=2.0:sac=on:sd=1:ss=included:urr=on:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/3380Mi)
% 8.32/1.61  % (31043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.32/1.61  % (31043)Termination reason: Unknown
% 8.32/1.61  % (31043)Termination phase: Saturation
% 8.32/1.61  
% 8.32/1.61  % (31043)Memory used [KB]: 8443
% 8.32/1.61  % (31043)Time elapsed: 0.056 s
% 8.32/1.61  % (31043)Instructions burned: 121 (million)
% 8.32/1.61  % (31043)------------------------------
% 8.32/1.61  % (31043)------------------------------
% 8.32/1.64  % (31062)ott+10_1:1_av=off:br=off:bsd=on:drc=off:s2a=on:sos=all:sp=reverse_arity:spb=goal:to=lpo:urr=on:i=198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/198Mi)
% 8.32/1.65  % (31063)lrs+10_1:1_av=off:bd=off:lma=on:sfv=off:sos=all:spb=goal_then_units:to=lpo:i=226:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/226Mi)
% 10.22/1.67  % (31056)Instruction limit reached!
% 10.22/1.67  % (31056)------------------------------
% 10.22/1.67  % (31056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.68  % (31064)ott+10_1:5_bs=unit_only:drc=off:ins=1:nwc=2.16:rnwc=on:slsq=on:slsqr=13,149:sp=const_min:tgt=ground:to=lpo:uwa=interpreted_only:i=336:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/336Mi)
% 10.22/1.68  % (31065)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/206Mi)
% 10.22/1.68  % (31065)Refutation not found, incomplete strategy% (31065)------------------------------
% 10.22/1.68  % (31065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.68  % (31065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.68  % (31065)Termination reason: Refutation not found, incomplete strategy
% 10.22/1.68  
% 10.22/1.68  % (31065)Memory used [KB]: 6524
% 10.22/1.68  % (31065)Time elapsed: 0.002 s
% 10.22/1.68  % (31065)Instructions burned: 3 (million)
% 10.22/1.68  % (31065)------------------------------
% 10.22/1.68  % (31065)------------------------------
% 10.22/1.69  % (31056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.69  % (31056)Termination reason: Unknown
% 10.22/1.69  % (31056)Termination phase: Saturation
% 10.22/1.69  
% 10.22/1.69  % (31056)Memory used [KB]: 2814
% 10.22/1.69  % (31056)Time elapsed: 0.220 s
% 10.22/1.69  % (31056)Instructions burned: 74 (million)
% 10.22/1.69  % (31056)------------------------------
% 10.22/1.69  % (31056)------------------------------
% 10.22/1.69  % (31066)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=2097:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/2097Mi)
% 10.22/1.69  % (31062)Refutation not found, incomplete strategy% (31062)------------------------------
% 10.22/1.69  % (31062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.69  % (31062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.69  % (31062)Termination reason: Refutation not found, incomplete strategy
% 10.22/1.69  
% 10.22/1.69  % (31062)Memory used [KB]: 4221
% 10.22/1.69  % (31062)Time elapsed: 0.025 s
% 10.22/1.69  % (31062)Instructions burned: 44 (million)
% 10.22/1.69  % (31062)------------------------------
% 10.22/1.69  % (31062)------------------------------
% 10.22/1.70  % (31051)Instruction limit reached!
% 10.22/1.70  % (31051)------------------------------
% 10.22/1.70  % (31051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.70  % (31051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.70  % (31051)Termination reason: Unknown
% 10.22/1.70  % (31051)Termination phase: Saturation
% 10.22/1.70  
% 10.22/1.70  % (31051)Memory used [KB]: 4477
% 10.22/1.70  % (31051)Time elapsed: 0.279 s
% 10.22/1.70  % (31051)Instructions burned: 166 (million)
% 10.22/1.70  % (31051)------------------------------
% 10.22/1.70  % (31051)------------------------------
% 10.22/1.70  % (31063)Refutation not found, incomplete strategy% (31063)------------------------------
% 10.22/1.70  % (31063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.71  % (31063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.71  % (31063)Termination reason: Refutation not found, incomplete strategy
% 10.22/1.71  
% 10.22/1.71  % (31063)Memory used [KB]: 3454
% 10.22/1.71  % (31063)Time elapsed: 0.024 s
% 10.22/1.71  % (31063)Instructions burned: 33 (million)
% 10.22/1.71  % (31063)------------------------------
% 10.22/1.71  % (31063)------------------------------
% 10.69/1.73  % (31067)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=4956:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4956Mi)
% 10.69/1.73  % (31067)Refutation not found, incomplete strategy% (31067)------------------------------
% 10.69/1.73  % (31067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.69/1.74  % (31067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.69/1.74  % (31067)Termination reason: Refutation not found, incomplete strategy
% 10.69/1.74  
% 10.69/1.74  % (31067)Memory used [KB]: 6524
% 10.69/1.74  % (31067)Time elapsed: 0.004 s
% 10.69/1.74  % (31067)Instructions burned: 3 (million)
% 10.69/1.74  % (31067)------------------------------
% 10.69/1.74  % (31067)------------------------------
% 10.87/1.77  % (31068)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=322:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/322Mi)
% 10.87/1.79  % (31068)Refutation not found, incomplete strategy% (31068)------------------------------
% 10.87/1.79  % (31068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.87/1.79  % (31068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.87/1.79  % (31068)Termination reason: Refutation not found, incomplete strategy
% 10.87/1.79  
% 10.87/1.79  % (31068)Memory used [KB]: 6524
% 10.87/1.79  % (31068)Time elapsed: 0.004 s
% 10.87/1.79  % (31068)Instructions burned: 3 (million)
% 10.87/1.79  % (31068)------------------------------
% 10.87/1.79  % (31068)------------------------------
% 10.87/1.79  % (31052)Instruction limit reached!
% 10.87/1.79  % (31052)------------------------------
% 10.87/1.79  % (31052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.87/1.80  % (31070)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=654:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/654Mi)
% 10.87/1.80  % (31052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.87/1.80  % (31052)Termination reason: Unknown
% 10.87/1.80  % (31052)Termination phase: Saturation
% 10.87/1.80  
% 10.87/1.80  % (31052)Memory used [KB]: 16247
% 10.87/1.80  % (31052)Time elapsed: 0.103 s
% 10.87/1.80  % (31052)Instructions burned: 202 (million)
% 10.87/1.80  % (31052)------------------------------
% 10.87/1.80  % (31052)------------------------------
% 10.87/1.81  % (31050)Instruction limit reached!
% 10.87/1.81  % (31050)------------------------------
% 10.87/1.81  % (31050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.87/1.81  % (31050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.87/1.81  % (31050)Termination reason: Unknown
% 10.87/1.81  % (31050)Termination phase: Saturation
% 10.87/1.81  
% 10.87/1.81  % (31050)Memory used [KB]: 8443
% 10.87/1.81  % (31050)Time elapsed: 0.412 s
% 10.87/1.81  % (31050)Instructions burned: 193 (million)
% 10.87/1.81  % (31050)------------------------------
% 10.87/1.81  % (31050)------------------------------
% 10.87/1.81  % (31069)dis+3_1:64_av=off:cond=on:lcm=reverse:nwc=3.0:sos=on:updr=off:i=1004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1004Mi)
% 11.31/1.83  % (31041)Instruction limit reached!
% 11.31/1.83  % (31041)------------------------------
% 11.31/1.83  % (31041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.31/1.85  % (31073)dis+1002_1:1_cond=on:erd=off:fsd=on:fsdmm=2:gs=on:newcnf=on:nwc=2.0:s2a=on:sims=off:sp=reverse_arity:ss=axioms:i=186:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/186Mi)
% 11.31/1.85  % (31041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.31/1.85  % (31041)Termination reason: Unknown
% 11.31/1.85  % (31041)Termination phase: Saturation
% 11.31/1.85  
% 11.31/1.85  % (31041)Memory used [KB]: 14456
% 11.31/1.85  % (31041)Time elapsed: 0.149 s
% 11.31/1.85  % (31041)Instructions burned: 279 (million)
% 11.31/1.85  % (31041)------------------------------
% 11.31/1.85  % (31041)------------------------------
% 11.31/1.85  % (31073)Refutation not found, incomplete strategy% (31073)------------------------------
% 11.31/1.85  % (31073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.31/1.85  % (31073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.31/1.85  % (31073)Termination reason: Refutation not found, incomplete strategy
% 11.31/1.85  
% 11.31/1.85  % (31073)Memory used [KB]: 11001
% 11.31/1.85  % (31073)Time elapsed: 0.005 s
% 11.31/1.85  % (31073)Instructions burned: 5 (million)
% 11.31/1.85  % (31073)------------------------------
% 11.31/1.85  % (31073)------------------------------
% 11.31/1.85  % (31045)Instruction limit reached!
% 11.31/1.85  % (31045)------------------------------
% 11.31/1.85  % (31045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.31/1.85  % (31045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.31/1.85  % (31045)Termination reason: Unknown
% 11.31/1.85  % (31045)Termination phase: Saturation
% 11.31/1.85  
% 11.31/1.85  % (31045)Memory used [KB]: 11129
% 11.31/1.85  % (31045)Time elapsed: 0.516 s
% 11.31/1.85  % (31045)Instructions burned: 266 (million)
% 11.31/1.85  % (31045)------------------------------
% 11.31/1.85  % (31045)------------------------------
% 11.31/1.85  % (31071)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=455:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/455Mi)
% 11.31/1.86  % (31072)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/98Mi)
% 11.31/1.86  % (31069)Refutation not found, incomplete strategy% (31069)------------------------------
% 11.31/1.86  % (31069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.60/1.87  % (31074)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/473Mi)
% 11.60/1.87  % (31069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.60/1.87  % (31069)Termination reason: Refutation not found, incomplete strategy
% 11.60/1.87  
% 11.60/1.87  % (31069)Memory used [KB]: 3709
% 11.60/1.87  % (31069)Time elapsed: 0.035 s
% 11.60/1.87  % (31069)Instructions burned: 40 (million)
% 11.60/1.87  % (31069)------------------------------
% 11.60/1.87  % (31069)------------------------------
% 11.60/1.89  % (31074)Refutation not found, incomplete strategy% (31074)------------------------------
% 11.60/1.89  % (31074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.60/1.89  % (31074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.60/1.89  % (31074)Termination reason: Refutation not found, incomplete strategy
% 11.60/1.89  
% 11.60/1.89  % (31074)Memory used [KB]: 6524
% 11.60/1.89  % (31074)Time elapsed: 0.004 s
% 11.60/1.89  % (31074)Instructions burned: 2 (million)
% 11.60/1.89  % (31074)------------------------------
% 11.60/1.89  % (31074)------------------------------
% 11.60/1.90  % (31070)Refutation not found, incomplete strategy% (31070)------------------------------
% 11.60/1.90  % (31070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.60/1.90  % (31070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.60/1.90  % (31070)Termination reason: Refutation not found, incomplete strategy
% 11.60/1.90  
% 11.60/1.90  % (31070)Memory used [KB]: 8827
% 11.60/1.90  % (31070)Time elapsed: 0.033 s
% 11.60/1.90  % (31070)Instructions burned: 65 (million)
% 11.60/1.90  % (31070)------------------------------
% 11.60/1.90  % (31070)------------------------------
% 11.60/1.90  % (31075)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/433Mi)
% 11.60/1.91  % (31076)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/453Mi)
% 11.60/1.92  % (31071)Refutation not found, incomplete strategy% (31071)------------------------------
% 11.60/1.92  % (31071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.60/1.92  % (31071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.60/1.92  % (31071)Termination reason: Refutation not found, incomplete strategy
% 11.60/1.92  
% 11.60/1.92  % (31071)Memory used [KB]: 8059
% 11.60/1.92  % (31071)Time elapsed: 0.023 s
% 11.60/1.92  % (31071)Instructions burned: 37 (million)
% 11.60/1.92  % (31071)------------------------------
% 11.60/1.92  % (31071)------------------------------
% 11.60/1.94  % (31077)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=802:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/802Mi)
% 12.20/1.96  % (31055)Instruction limit reached!
% 12.20/1.96  % (31055)------------------------------
% 12.20/1.96  % (31055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.20/1.97  % (31055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.20/1.97  % (31055)Termination reason: Unknown
% 12.20/1.97  % (31055)Termination phase: Saturation
% 12.20/1.97  
% 12.20/1.97  % (31055)Memory used [KB]: 11769
% 12.20/1.97  % (31055)Time elapsed: 0.166 s
% 12.20/1.97  % (31055)Instructions burned: 292 (million)
% 12.20/1.97  % (31055)------------------------------
% 12.20/1.97  % (31055)------------------------------
% 12.39/1.98  % (31078)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/848Mi)
% 12.39/1.99  % (31078)Refutation not found, incomplete strategy% (31078)------------------------------
% 12.39/1.99  % (31078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.39/1.99  % (31078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.39/1.99  % (31078)Termination reason: Refutation not found, incomplete strategy
% 12.39/1.99  
% 12.39/1.99  % (31078)Memory used [KB]: 6524
% 12.39/1.99  % (31078)Time elapsed: 0.004 s
% 12.39/1.99  % (31078)Instructions burned: 3 (million)
% 12.39/1.99  % (31078)------------------------------
% 12.39/1.99  % (31078)------------------------------
% 12.39/1.99  % (31082)lrs+11_1:128_aac=none:avsq=on:avsqc=2:avsql=on:avsqr=1,16:awrs=converge:bs=on:nm=0:plsq=on:plsqc=1:plsqr=65,12:sos=on:spb=goal_then_units:to=lpo:urr=on:i=855:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/855Mi)
% 12.39/1.99  % (31061)Instruction limit reached!
% 12.39/1.99  % (31061)------------------------------
% 12.39/1.99  % (31061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.39/2.00  % (31061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.39/2.00  % (31061)Termination reason: Unknown
% 12.39/2.00  % (31061)Termination phase: Saturation
% 12.39/2.00  
% 12.39/2.00  % (31061)Memory used [KB]: 10874
% 12.39/2.00  % (31061)Time elapsed: 0.464 s
% 12.39/2.00  % (31061)Instructions burned: 388 (million)
% 12.39/2.00  % (31061)------------------------------
% 12.39/2.00  % (31061)------------------------------
% 12.39/2.00  % (31079)dis+21_1:1_av=off:nwc=5.0:s2a=on:s2at=2.2:spb=goal_then_units:to=lpo:i=452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/452Mi)
% 12.39/2.00  % (31081)lrs+10_1:1_atotf=0.1:lcm=predicate:nwc=5.0:rnwc=on:s2a=on:s2at=2.0:sac=on:sos=on:spb=goal_then_units:urr=on:i=644:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/644Mi)
% 12.39/2.01  % (31083)lrs+11_4:1_acc=on:alpa=true:awrs=converge:bsr=unit_only:fsd=on:gs=on:gsaa=from_current:nicw=on:s2a=on:s2at=2.0:sac=on:slsq=on:slsqc=2:slsqr=11,120:sos=all:sp=weighted_frequency:spb=goal_then_units:urr=on:i=3379:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3379Mi)
% 12.70/2.03  % (31084)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=1340:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/1340Mi)
% 12.70/2.04  % (31034)Instruction limit reached!
% 12.70/2.04  % (31034)------------------------------
% 12.70/2.04  % (31034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.70/2.04  % (31034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.70/2.04  % (31034)Termination reason: Unknown
% 12.70/2.04  % (31034)Termination phase: Saturation
% 12.70/2.04  
% 12.70/2.04  % (31034)Memory used [KB]: 9978
% 12.70/2.04  % (31034)Time elapsed: 0.234 s
% 12.70/2.04  % (31034)Instructions burned: 441 (million)
% 12.70/2.04  % (31034)------------------------------
% 12.70/2.04  % (31034)------------------------------
% 12.70/2.05  % (31085)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=1024:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/1024Mi)
% 12.70/2.05  % (31084)Refutation not found, incomplete strategy% (31084)------------------------------
% 12.70/2.05  % (31084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.70/2.05  % (31084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.70/2.05  % (31084)Termination reason: Refutation not found, incomplete strategy
% 12.70/2.05  
% 12.70/2.05  % (31084)Memory used [KB]: 6524
% 12.70/2.05  % (31084)Time elapsed: 0.004 s
% 12.70/2.05  % (31084)Instructions burned: 3 (million)
% 12.70/2.05  % (31084)------------------------------
% 12.70/2.05  % (31084)------------------------------
% 12.83/2.06  % (31081)Refutation not found, incomplete strategy% (31081)------------------------------
% 12.83/2.06  % (31081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.06  % (31081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.06  % (31081)Termination reason: Refutation not found, incomplete strategy
% 12.83/2.06  
% 12.83/2.06  % (31081)Memory used [KB]: 8571
% 12.83/2.06  % (31081)Time elapsed: 0.026 s
% 12.83/2.06  % (31081)Instructions burned: 44 (million)
% 12.83/2.06  % (31081)------------------------------
% 12.83/2.06  % (31081)------------------------------
% 12.83/2.07  % (31072)Instruction limit reached!
% 12.83/2.07  % (31072)------------------------------
% 12.83/2.07  % (31072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.07  % (31072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.07  % (31072)Termination reason: Unknown
% 12.83/2.07  % (31072)Termination phase: Saturation
% 12.83/2.07  
% 12.83/2.07  % (31072)Memory used [KB]: 3837
% 12.83/2.07  % (31072)Time elapsed: 0.328 s
% 12.83/2.07  % (31072)Instructions burned: 98 (million)
% 12.83/2.07  % (31072)------------------------------
% 12.83/2.07  % (31072)------------------------------
% 12.83/2.07  % (31086)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/480Mi)
% 12.83/2.07  % (31086)Refutation not found, incomplete strategy% (31086)------------------------------
% 12.83/2.07  % (31086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.07  % (31086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.07  % (31086)Termination reason: Refutation not found, incomplete strategy
% 12.83/2.07  
% 12.83/2.07  % (31086)Memory used [KB]: 6524
% 12.83/2.07  % (31086)Time elapsed: 0.002 s
% 12.83/2.07  % (31086)Instructions burned: 3 (million)
% 12.83/2.07  % (31086)------------------------------
% 12.83/2.07  % (31086)------------------------------
% 12.83/2.09  % (31036)Instruction limit reached!
% 12.83/2.09  % (31036)------------------------------
% 12.83/2.09  % (31036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.09  % (31036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.09  % (31036)Termination reason: Unknown
% 12.83/2.09  % (31036)Termination phase: Saturation
% 12.83/2.09  
% 12.83/2.09  % (31036)Memory used [KB]: 10362
% 12.83/2.09  % (31036)Time elapsed: 0.248 s
% 12.83/2.09  % (31036)Instructions burned: 503 (million)
% 12.83/2.09  % (31036)------------------------------
% 12.83/2.09  % (31036)------------------------------
% 12.83/2.09  % (31083)Refutation not found, incomplete strategy% (31083)------------------------------
% 12.83/2.09  % (31083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.09  % (31083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.09  % (31083)Termination reason: Refutation not found, incomplete strategy
% 12.83/2.09  
% 12.83/2.09  % (31083)Memory used [KB]: 13176
% 12.83/2.09  % (31083)Time elapsed: 0.029 s
% 12.83/2.09  % (31083)Instructions burned: 47 (million)
% 12.83/2.09  % (31083)------------------------------
% 12.83/2.09  % (31083)------------------------------
% 12.83/2.10  % (31082)Refutation not found, incomplete strategy% (31082)------------------------------
% 12.83/2.10  % (31082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.10  % (31082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.10  % (31082)Termination reason: Refutation not found, incomplete strategy
% 12.83/2.10  
% 12.83/2.10  % (31082)Memory used [KB]: 8571
% 12.83/2.10  % (31082)Time elapsed: 0.027 s
% 12.83/2.10  % (31082)Instructions burned: 44 (million)
% 12.83/2.10  % (31082)------------------------------
% 12.83/2.10  % (31082)------------------------------
% 12.83/2.10  % (31088)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2849:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/2849Mi)
% 12.83/2.10  % (31087)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/543Mi)
% 13.40/2.12  % (31058)Instruction limit reached!
% 13.40/2.12  % (31058)------------------------------
% 13.40/2.12  % (31058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.40/2.12  % (31058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.40/2.12  % (31058)Termination reason: Unknown
% 13.40/2.12  % (31058)Termination phase: Saturation
% 13.40/2.12  
% 13.40/2.12  % (31058)Memory used [KB]: 9978
% 13.40/2.12  % (31058)Time elapsed: 0.635 s
% 13.40/2.12  % (31058)Instructions burned: 349 (million)
% 13.40/2.12  % (31058)------------------------------
% 13.40/2.12  % (31058)------------------------------
% 13.40/2.14  % (31029)Instruction limit reached!
% 13.40/2.14  % (31029)------------------------------
% 13.40/2.14  % (31029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.40/2.15  % (31090)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=918:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/918Mi)
% 13.40/2.15  % (31029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.40/2.15  % (31029)Termination reason: Unknown
% 13.40/2.15  % (31029)Termination phase: Saturation
% 13.40/2.15  
% 13.40/2.15  % (31029)Memory used [KB]: 12281
% 13.40/2.15  % (31029)Time elapsed: 0.876 s
% 13.40/2.15  % (31029)Instructions burned: 669 (million)
% 13.40/2.15  % (31029)------------------------------
% 13.40/2.15  % (31029)------------------------------
% 13.40/2.16  % (31087)Refutation not found, incomplete strategy% (31087)------------------------------
% 13.40/2.16  % (31087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.40/2.16  % (31087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.40/2.16  % (31087)Termination reason: Refutation not found, incomplete strategy
% 13.40/2.16  
% 13.40/2.16  % (31087)Memory used [KB]: 7803
% 13.40/2.16  % (31087)Time elapsed: 0.017 s
% 13.40/2.16  % (31087)Instructions burned: 37 (million)
% 13.40/2.16  % (31087)------------------------------
% 13.40/2.16  % (31087)------------------------------
% 13.40/2.17  % (31064)Instruction limit reached!
% 13.40/2.17  % (31064)------------------------------
% 13.40/2.17  % (31064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.40/2.17  % (31064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.40/2.17  % (31064)Termination reason: Unknown
% 13.40/2.17  % (31064)Termination phase: Saturation
% 13.40/2.17  
% 13.40/2.17  % (31064)Memory used [KB]: 10234
% 13.40/2.17  % (31064)Time elapsed: 0.170 s
% 13.40/2.17  % (31064)Instructions burned: 337 (million)
% 13.40/2.17  % (31064)------------------------------
% 13.40/2.17  % (31064)------------------------------
% 13.40/2.17  % (31089)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=670:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/670Mi)
% 13.40/2.17  % (31089)Refutation not found, incomplete strategy% (31089)------------------------------
% 13.40/2.17  % (31089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.40/2.17  % (31089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.40/2.17  % (31089)Termination reason: Refutation not found, incomplete strategy
% 13.40/2.17  
% 13.40/2.17  % (31089)Memory used [KB]: 6524
% 13.40/2.17  % (31089)Time elapsed: 0.003 s
% 13.40/2.17  % (31089)Instructions burned: 2 (million)
% 13.40/2.17  % (31089)------------------------------
% 13.40/2.17  % (31089)------------------------------
% 14.26/2.19  % (31091)ott+10_1:1_nwc=2.0:ss=axioms:st=1.3:urr=on:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/2016Mi)
% 14.26/2.20  % (31016)First to succeed.
% 14.26/2.20  % (31093)lrs+1011_1:1_av=off:br=off:erd=off:ins=1:nm=3:nwc=3.0:s2a=on:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/439Mi)
% 14.26/2.21  % (31091)Refutation not found, incomplete strategy% (31091)------------------------------
% 14.26/2.21  % (31091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.26/2.21  % (31091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.26/2.21  % (31091)Termination reason: Refutation not found, incomplete strategy
% 14.26/2.21  
% 14.26/2.21  % (31091)Memory used [KB]: 6524
% 14.26/2.21  % (31091)Time elapsed: 0.005 s
% 14.26/2.21  % (31091)Instructions burned: 2 (million)
% 14.26/2.21  % (31091)------------------------------
% 14.26/2.21  % (31091)------------------------------
% 14.26/2.22  % (31095)ott+10_1:1_bsr=unit_only:cond=on:nm=16:sd=1:sp=frequency:ss=included:i=105:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/105Mi)
% 14.26/2.22  % (31092)lrs+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:s2a=on:ss=included:i=124:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/124Mi)
% 14.26/2.22  % (31094)dis+1010_5:1_abs=on:ep=RST:fde=unused:gsp=on:ins=1:nwc=10.0:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:i=778:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/778Mi)
% 14.26/2.23  % (31096)dis+1011_1:10_av=off:awrs=decay:bce=on:bd=off:bsd=on:nwc=2.0:i=1536:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/1536Mi)
% 14.26/2.24  % (31097)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/167Mi)
% 14.83/2.25  % (31098)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=4507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4507Mi)
% 14.83/2.27  % (31088)Refutation not found, incomplete strategy% (31088)------------------------------
% 14.83/2.27  % (31088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.83/2.27  % (31088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.83/2.27  % (31088)Termination reason: Refutation not found, incomplete strategy
% 14.83/2.27  
% 14.83/2.27  % (31088)Memory used [KB]: 4221
% 14.83/2.27  % (31088)Time elapsed: 0.241 s
% 14.83/2.27  % (31088)Instructions burned: 109 (million)
% 14.83/2.27  % (31088)------------------------------
% 14.83/2.27  % (31088)------------------------------
% 14.83/2.28  % (31099)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/93Mi)
% 15.05/2.29  % (31053)Also succeeded, but the first one will report.
% 15.05/2.29  % (31016)Refutation found. Thanks to Tanya!
% 15.05/2.29  % SZS status Unsatisfiable for theBenchmark
% 15.05/2.29  % SZS output start Proof for theBenchmark
% See solution above
% 15.05/2.31  % (31016)------------------------------
% 15.05/2.31  % (31016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.05/2.31  % (31016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.05/2.31  % (31016)Termination reason: Refutation
% 15.05/2.31  
% 15.05/2.31  % (31016)Memory used [KB]: 8059
% 15.05/2.31  % (31016)Time elapsed: 0.757 s
% 15.05/2.31  % (31016)Instructions burned: 852 (million)
% 15.05/2.31  % (31016)------------------------------
% 15.05/2.31  % (31016)------------------------------
% 15.05/2.31  % (30672)Success in time 1.936 s
%------------------------------------------------------------------------------