%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG034+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:42:07 EDT 2022

% Result   : Unsatisfiable 11.94s 2.03s
% Output   : Refutation 12.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      : 1581
% Syntax   : Number of formulae    : 4863 ( 976 unt;   0 def)
%            Number of atoms       : 18606 (13350 equ)
%            Maximal formula atoms :  216 (   3 avg)
%            Number of connectives : 25989 (12246   ~;9381   |;3476   &)
%                                         ( 850 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  216 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :  852 ( 850 usr; 851 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7419,plain,
    $false,
    inference(avatar_smt_refutation,[],[f2743,f2764,f2769,f2790,f2795,f2800,f2821,f2826,f2831,f2848,f2873,f2894,f2899,f2904,f2929,f2950,f2971,f2976,f2981,f2986,f2991,f2996,f3001,f3006,f3011,f3028,f3033,f3046,f3059,f3064,f3085,f3094,f3115,f3120,f3137,f3142,f3147,f3148,f3153,f3166,f3171,f3176,f3181,f3190,f3199,f3200,f3209,f3214,f3219,f3232,f3237,f3250,f3255,f3260,f3265,f3270,f3271,f3276,f3285,f3294,f3299,f3308,f3313,f3318,f3331,f3344,f3349,f3354,f3355,f3360,f3365,f3378,f3395,f3400,f3405,f3410,f3415,f3420,f3445,f3450,f3455,f3460,f3461,f3474,f3479,f3488,f3493,f3498,f3503,f3504,f3513,f3514,f3519,f3520,f3525,f3530,f3535,f3536,f3541,f3554,f3559,f3560,f3569,f3578,f3583,f3588,f3589,f3594,f3595,f3600,f3613,f3622,f3627,f3632,f3637,f3638,f3663,f3680,f3681,f3682,f3687,f3692,f3693,f3702,f3707,f3708,f3709,f3718,f3719,f3724,f3729,f3734,f3735,f3740,f3745,f3746,f3751,f3760,f3761,f3762,f3767,f3772,f3781,f3786,f3787,f3792,f3793,f3798,f3819,f3820,f3825,f3826,f3827,f3828,f3833,f3838,f3843,f3860,f3865,f3866,f3871,f3876,f3877,f3878,f3879,f3884,f3889,f3898,f3903,f3904,f3909,f3910,f3911,f3916,f3917,f3918,f3919,f3924,f3925,f3930,f3935,f3936,f3941,f3946,f3951,f3952,f3953,f3954,f3959,f3960,f3965,f3970,f3975,f3980,f3981,f3982,f3983,f3984,f3989,f3994,f3995,f3996,f3997,f3998,f3999,f4000,f4005,f4010,f4015,f4020,f4021,f4026,f4027,f4028,f4029,f4034,f4035,f4040,f4041,f4046,f4047,f4048,f4049,f4054,f4059,f4064,f4069,f4074,f4079,f4080,f4085,f4090,f4091,f4096,f4097,f4122,f4123,f4128,f4133,f4134,f4139,f4140,f4141,f4142,f4147,f4152,f4157,f4158,f4163,f4164,f4165,f4170,f4175,f4180,f4181,f4182,f4183,f4184,f4185,f4190,f4191,f4196,f4197,f4198,f4203,f4228,f4229,f4234,f4235,f4236,f4241,f4242,f4243,f4244,f4245,f4246,f4251,f4256,f4257,f4258,f4259,f4260,f4261,f4262,f4263,f4264,f4265,f4266,f4267,f4268,f4273,f4274,f4275,f4276,f4281,f4282,f4287,f4288,f4293,f4294,f4299,f4304,f4329,f4334,f4335,f4336,f4341,f4342,f4343,f4348,f4353,f4354,f4359,f4364,f4365,f4366,f4371,f4372,f4373,f4374,f4375,f4376,f4381,f4386,f4387,f4388,f4389,f4390,f4391,f4392,f4393,f4394,f4399,f4404,f4405,f4410,f4411,f4436,f4437,f4438,f4443,f4448,f4453,f4458,f4463,f4468,f4469,f4470,f4475,f4476,f4481,f4482,f4483,f4484,f4485,f4490,f4491,f4492,f4497,f4502,f4503,f4508,f4513,f4514,f4523,f4524,f4525,f4526,f4527,f4528,f4533,f4534,f4535,f4536,f4541,f4542,f4547,f4548,f4549,f4550,f4551,f4552,f4557,f4562,f4563,f4564,f4565,f4566,f4571,f4572,f4573,f4574,f4579,f4580,f4581,f4586,f4587,f4592,f4597,f4622,f4623,f4628,f4633,f4634,f4639,f4640,f4665,f4666,f4667,f4672,f4673,f4678,f4679,f4680,f4681,f4682,f4683,f4688,f4689,f4694,f4699,f4700,f4705,f4710,f4711,f4712,f4717,f4722,f4723,f4728,f4729,f4730,f4735,f4740,f4741,f4746,f4747,f4748,f4753,f4754,f4759,f4760,f4765,f4766,f4771,f4776,f4777,f4782,f4783,f4784,f4789,f4790,f4795,f4800,f4805,f4806,f4807,f4808,f4809,f4814,f4815,f4816,f4817,f4822,f4827,f4832,f4837,f4842,f4843,f4844,f4845,f4850,f4855,f4856,f4861,f4862,f4867,f4872,f4877,f4882,f4883,f4884,f4885,f4890,f4895,f4896,f4901,f4902,f4907,f4912,f4917,f4922,f4923,f4924,f4929,f4930,f4931,f4932,f4937,f4938,f4943,f4948,f4953,f4954,f4955,f4960,f4961,f4966,f4967,f4972,f4973,f4978,f4979,f4980,f4985,f5010,f5015,f5016,f5021,f5026,f5031,f5032,f5033,f5034,f5035,f5036,f5037,f5042,f5067,f5068,f5069,f5070,f5095,f5100,f5101,f5102,f5107,f5112,f5113,f5114,f5115,f5120,f5121,f5126,f5131,f5132,f5137,f5142,f5143,f5148,f5149,f5154,f5159,f5160,f5165,f5166,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5180,f5185,f5186,f5187,f5192,f5197,f5198,f5203,f5208,f5209,f5210,f5215,f5216,f5217,f5218,f5223,f5224,f5249,f5258,f5263,f5264,f5269,f5274,f5279,f5280,f5281,f5286,f5287,f5288,f5289,f5290,f5291,f5292,f5293,f5294,f5295,f5300,f5301,f5306,f5307,f5308,f5313,f5314,f5315,f5320,f5321,f5322,f5323,f5328,f5329,f5330,f5331,f5332,f5333,f5334,f5339,f5344,f5345,f5350,f5351,f5356,f5357,f5362,f5363,f5364,f5365,f5366,f5367,f5368,f5369,f5374,f5375,f5376,f5381,f5386,f5387,f5388,f5389,f5394,f5399,f5424,f5425,f5426,f5431,f5436,f5437,f5438,f5443,f5448,f5449,f5450,f5451,f5452,f5457,f5458,f5463,f5464,f5465,f5470,f5475,f5476,f5481,f5486,f5487,f5488,f5493,f5498,f5499,f5500,f5501,f5502,f5507,f5508,f5509,f5514,f5519,f5524,f5525,f5530,f5531,f5536,f5541,f5542,f5543,f5544,f5545,f5550,f5555,f5556,f5557,f5562,f5563,f5564,f5569,f5570,f5575,f5580,f5585,f5586,f5587,f5588,f5589,f5594,f5599,f5604,f5605,f5610,f5611,f5616,f5617,f5618,f5619,f5620,f5621,f5646,f5671,f5676,f5681,f5682,f5683,f5684,f5685,f5690,f5691,f5692,f5693,f5698,f5723,f5728,f5729,f5734,f5735,f5736,f5737,f5742,f5743,f5744,f5749,f5750,f5755,f5756,f5757,f5758,f5783,f5788,f5789,f5794,f5799,f5800,f5801,f5806,f5807,f5808,f5809,f5814,f5815,f5816,f5817,f5818,f5823,f5824,f5825,f5830,f5835,f5840,f5845,f5850,f5851,f5852,f5853,f5854,f5855,f5856,f5857,f5858,f5863,f5864,f5869,f5870,f5871,f5872,f5873,f5878,f5879,f5880,f5881,f5882,f5883,f5884,f5885,f5890,f5895,f5900,f5901,f5906,f5907,f5908,f5909,f5910,f5915,f5916,f5917,f5918,f5919,f5924,f5929,f5934,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5950,f5951,f5956,f5957,f5958,f5959,f5960,f5961,f5962,f5963,f5968,f5973,f5974,f5979,f5984,f5985,f5990,f6015,f6016,f6017,f6022,f6027,f6032,f6033,f6034,f6035,f6036,f6037,f6042,f6047,f6048,f6049,f6050,f6051,f6052,f6057,f6062,f6063,f6064,f6069,f6074,f6075,f6076,f6077,f6082,f6087,f6088,f6089,f6090,f6095,f6096,f6097,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6133,f6134,f6139,f6144,f6149,f6154,f6155,f6156,f6161,f6162,f6163,f6164,f6165,f6166,f6167,f6168,f6169,f6174,f6175,f6176,f6177,f6202,f6207,f6208,f6209,f6214,f6215,f6220,f6221,f6222,f6227,f6228,f6229,f6230,f6235,f6240,f6241,f6242,f6243,f6248,f6249,f6250,f6255,f6256,f6257,f6258,f6259,f6264,f6265,f6266,f6267,f6268,f6269,f6274,f6275,f6276,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6292,f6293,f6298,f6303,f6304,f6305,f6310,f6315,f6316,f6317,f6322,f6323,f6328,f6333,f6338,f6339,f6340,f6345,f6350,f6355,f6360,f6365,f6366,f6367,f6372,f6373,f6374,f6375,f6376,f6377,f6378,f6379,f6384,f6389,f6390,f6415,f6420,f6425,f6426,f6427,f6432,f6437,f6442,f6443,f6444,f6445,f6450,f6451,f6452,f6457,f6458,f6483,f6488,f6493,f6498,f6499,f6500,f6505,f6510,f6511,f6512,f6513,f6514,f6515,f6520,f6521,f6522,f6527,f6528,f6529,f6534,f6535,f6540,f6541,f6546,f6571,f6576,f6577,f6582,f6583,f6584,f6585,f6586,f6587,f6588,f6589,f6590,f6591,f6592,f6597,f6602,f6607,f6612,f6617,f6618,f6619,f6624,f6629,f6630,f6631,f6632,f6633,f6658,f6659,f6664,f6669,f6670,f6671,f6676,f6677,f6678,f6683,f6684,f6689,f6690,f6691,f6696,f6697,f6702,f6707,f6708,f6709,f6710,f6711,f6736,f6741,f6742,f6743,f6744,f6745,f6746,f6747,f6748,f6749,f6754,f6755,f6756,f6761,f6766,f6771,f6776,f6777,f6778,f6779,f6784,f6789,f6790,f6791,f6796,f6801,f6826,f6827,f6828,f6833,f6838,f6839,f6844,f6845,f6846,f6851,f6852,f6857,f6862,f6867,f6868,f6873,f6874,f6875,f6880,f6881,f6882,f6883,f6888,f6889,f6894,f6895,f6896,f6897,f6902,f6903,f6904,f6905,f6910,f6915,f6920,f6921,f6926,f6927,f6932,f6937,f6938,f6943,f6944,f6969,f6970,f6975,f6980,f6981,f6986,f6987,f6992,f6993,f6998,f7003,f7008,f7009,f7010,f7011,f7012,f7017,f7022,f7023,f7028,f7029,f7030,f7031,f7032,f7037,f7042,f7043,f7044,f7045,f7050,f7075,f7080,f7085,f7086,f7087,f7088,f7089,f7090,f7091,f7092,f7097,f7102,f7103,f7104,f7109,f7110,f7115,f7116,f7121,f7122,f7123,f7128,f7129,f7134,f7135,f7136,f7137,f7138,f7139,f7144,f7145,f7146,f7147,f7148,f7153,f7158,f7163,f7168,f7169,f7170,f7195,f7196,f7201,f7202,f7203,f7204,f7205,f7206,f7207,f7208,f7209,f7210,f7215,f7216,f7217,f7218,f7219,f7220,f7221,f7226,f7231,f7236,f7241,f7242,f7243,f7244,f7249,f7250,f7251,f7252,f7253,f7258,f7263,f7264,f7269,f7274,f7279,f7280,f7281,f7286,f7311,f7312,f7313,f7318,f7319,f7320,f7321,f7322,f7323,f7324,f7329,f7330,f7335,f7336,f7341,f7342,f7343,f7348,f7349,f7350,f7351,f7352,f7357,f7358,f7363,f7388,f7389,f7394,f7395,f7396,f7397,f7402,f7403,f7408,f7413,f7418]) ).

fof(f7418,plain,
    spl0_850,
    inference(avatar_split_clause,[],[f2443,f7415]) ).

fof(f7415,plain,
    ( spl0_850
  <=> op(op(e3,e0),e3) = op(e3,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).

fof(f2443,plain,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( op(op(e4,e0),e5) = op(e4,op(e0,e5))
    & op(op(e0,e3),e3) = op(e0,op(e3,e3))
    & op(op(e5,e3),e1) = op(e5,op(e3,e1))
    & op(op(e5,e4),e5) = op(e5,op(e4,e5))
    & op(op(e4,e2),e3) = op(e4,op(e2,e3))
    & op(op(e5,e1),e0) = op(e5,op(e1,e0))
    & op(op(e4,e5),e4) = op(e4,op(e5,e4))
    & op(op(e1,e3),e3) = op(e1,op(e3,e3))
    & op(op(e1,e3),e2) = op(e1,op(e3,e2))
    & op(op(e5,e5),e5) = op(e5,op(e5,e5))
    & op(op(e5,e5),e3) = op(e5,op(e5,e3))
    & op(op(e0,e5),e5) = op(e0,op(e5,e5))
    & op(op(e3,e5),e0) = op(e3,op(e5,e0))
    & op(op(e1,e2),e0) = op(e1,op(e2,e0))
    & op(op(e1,e5),e0) = op(e1,op(e5,e0))
    & op(op(e3,e2),e3) = op(e3,op(e2,e3))
    & op(op(e2,e1),e0) = op(e2,op(e1,e0))
    & op(op(e4,e4),e1) = op(e4,op(e4,e1))
    & op(op(e4,e5),e3) = op(e4,op(e5,e3))
    & op(op(e5,e3),e2) = op(e5,op(e3,e2))
    & op(op(e4,e5),e0) = op(e4,op(e5,e0))
    & op(op(e0,e4),e1) = op(e0,op(e4,e1))
    & op(op(e1,e2),e4) = op(e1,op(e2,e4))
    & op(op(e4,e1),e0) = op(e4,op(e1,e0))
    & op(op(e5,e0),e4) = op(e5,op(e0,e4))
    & op(op(e2,e0),e5) = op(e2,op(e0,e5))
    & op(op(e0,e2),e3) = op(e0,op(e2,e3))
    & op(op(e4,e0),e2) = op(e4,op(e0,e2))
    & op(op(e4,e0),e3) = op(e4,op(e0,e3))
    & op(op(e4,e4),e2) = op(e4,op(e4,e2))
    & op(op(e5,e1),e5) = op(e5,op(e1,e5))
    & op(op(e0,e0),e4) = op(e0,op(e0,e4))
    & op(op(e1,e1),e5) = op(e1,op(e1,e5))
    & op(op(e0,e4),e5) = op(e0,op(e4,e5))
    & op(op(e0,e5),e1) = op(e0,op(e5,e1))
    & op(op(e1,e0),e3) = op(e1,op(e0,e3))
    & op(op(e5,e4),e1) = op(e5,op(e4,e1))
    & op(op(e1,e0),e4) = op(e1,op(e0,e4))
    & op(op(e3,e0),e0) = op(e3,op(e0,e0))
    & op(op(e0,e2),e1) = op(e0,op(e2,e1))
    & op(op(e3,e1),e4) = op(e3,op(e1,e4))
    & op(op(e1,e0),e1) = op(e1,op(e0,e1))
    & op(op(e3,e2),e4) = op(e3,op(e2,e4))
    & op(op(e3,e5),e2) = op(e3,op(e5,e2))
    & op(op(e2,e3),e3) = op(e2,op(e3,e3))
    & op(op(e4,e1),e3) = op(e4,op(e1,e3))
    & op(op(e5,e1),e4) = op(e5,op(e1,e4))
    & op(op(e5,e2),e4) = op(e5,op(e2,e4))
    & op(op(e5,e0),e3) = op(e5,op(e0,e3))
    & op(op(e2,e2),e1) = op(e2,op(e2,e1))
    & op(op(e1,e5),e5) = op(e1,op(e5,e5))
    & op(op(e1,e2),e2) = op(e1,op(e2,e2))
    & op(op(e0,e3),e1) = op(e0,op(e3,e1))
    & op(op(e5,e4),e0) = op(e5,op(e4,e0))
    & op(op(e5,e3),e0) = op(e5,op(e3,e0))
    & op(op(e4,e3),e4) = op(e4,op(e3,e4))
    & op(op(e2,e1),e4) = op(e2,op(e1,e4))
    & op(op(e0,e5),e2) = op(e0,op(e5,e2))
    & op(op(e2,e1),e1) = op(e2,op(e1,e1))
    & op(op(e0,e2),e0) = op(e0,op(e2,e0))
    & op(op(e4,e0),e4) = op(e4,op(e0,e4))
    & op(op(e4,e1),e1) = op(e4,op(e1,e1))
    & op(op(e3,e5),e3) = op(e3,op(e5,e3))
    & op(op(e5,e5),e0) = op(e5,op(e5,e0))
    & op(op(e3,e5),e4) = op(e3,op(e5,e4))
    & op(op(e4,e1),e2) = op(e4,op(e1,e2))
    & op(op(e5,e2),e5) = op(e5,op(e2,e5))
    & op(op(e2,e3),e5) = op(e2,op(e3,e5))
    & op(op(e1,e5),e3) = op(e1,op(e5,e3))
    & op(op(e0,e3),e0) = op(e0,op(e3,e0))
    & op(op(e0,e0),e2) = op(e0,op(e0,e2))
    & op(op(e0,e1),e5) = op(e0,op(e1,e5))
    & op(op(e3,e5),e1) = op(e3,op(e5,e1))
    & op(op(e3,e3),e4) = op(e3,op(e3,e4))
    & op(op(e3,e0),e4) = op(e3,op(e0,e4))
    & op(op(e4,e5),e2) = op(e4,op(e5,e2))
    & op(op(e4,e4),e5) = op(e4,op(e4,e5))
    & op(op(e0,e0),e0) = op(e0,op(e0,e0))
    & op(op(e2,e1),e5) = op(e2,op(e1,e5))
    & op(op(e2,e3),e1) = op(e2,op(e3,e1))
    & op(op(e2,e3),e0) = op(e2,op(e3,e0))
    & op(op(e2,e2),e0) = op(e2,op(e2,e0))
    & op(op(e2,e0),e3) = op(e2,op(e0,e3))
    & op(op(e0,e3),e2) = op(e0,op(e3,e2))
    & op(op(e4,e3),e0) = op(e4,op(e3,e0))
    & op(op(e1,e2),e5) = op(e1,op(e2,e5))
    & op(op(e4,e5),e1) = op(e4,op(e5,e1))
    & op(op(e1,e1),e2) = op(e1,op(e1,e2))
    & op(op(e5,e1),e2) = op(e5,op(e1,e2))
    & op(op(e3,e1),e5) = op(e3,op(e1,e5))
    & op(op(e2,e2),e3) = op(e2,op(e2,e3))
    & op(op(e0,e4),e4) = op(e0,op(e4,e4))
    & op(op(e0,e1),e1) = op(e0,op(e1,e1))
    & op(op(e2,e0),e1) = op(e2,op(e0,e1))
    & op(op(e2,e0),e4) = op(e2,op(e0,e4))
    & op(op(e4,e1),e5) = op(e4,op(e1,e5))
    & op(op(e2,e2),e5) = op(e2,op(e2,e5))
    & op(op(e0,e2),e4) = op(e0,op(e2,e4))
    & op(op(e1,e5),e1) = op(e1,op(e5,e1))
    & op(op(e3,e0),e3) = op(e3,op(e0,e3))
    & op(op(e2,e4),e4) = op(e2,op(e4,e4))
    & op(op(e3,e5),e5) = op(e3,op(e5,e5))
    & op(op(e4,e0),e1) = op(e4,op(e0,e1))
    & op(op(e1,e1),e3) = op(e1,op(e1,e3))
    & op(op(e1,e3),e0) = op(e1,op(e3,e0))
    & op(op(e5,e2),e3) = op(e5,op(e2,e3))
    & op(op(e4,e2),e4) = op(e4,op(e2,e4))
    & op(op(e4,e2),e1) = op(e4,op(e2,e1))
    & op(op(e1,e4),e5) = op(e1,op(e4,e5))
    & op(op(e3,e2),e5) = op(e3,op(e2,e5))
    & op(op(e2,e4),e1) = op(e2,op(e4,e1))
    & op(op(e1,e0),e5) = op(e1,op(e0,e5))
    & op(op(e1,e1),e0) = op(e1,op(e1,e0))
    & op(op(e5,e5),e2) = op(e5,op(e5,e2))
    & op(op(e1,e3),e1) = op(e1,op(e3,e1))
    & op(op(e2,e5),e4) = op(e2,op(e5,e4))
    & op(op(e3,e4),e0) = op(e3,op(e4,e0))
    & op(op(e3,e3),e0) = op(e3,op(e3,e0))
    & op(op(e1,e2),e1) = op(e1,op(e2,e1))
    & op(op(e4,e2),e0) = op(e4,op(e2,e0))
    & op(op(e1,e5),e4) = op(e1,op(e5,e4))
    & op(op(e0,e4),e2) = op(e0,op(e4,e2))
    & op(op(e2,e1),e3) = op(e2,op(e1,e3))
    & op(op(e4,e2),e5) = op(e4,op(e2,e5))
    & op(op(e3,e0),e5) = op(e3,op(e0,e5))
    & op(op(e3,e3),e5) = op(e3,op(e3,e5))
    & op(op(e1,e4),e2) = op(e1,op(e4,e2))
    & op(op(e0,e0),e3) = op(e0,op(e0,e3))
    & op(op(e2,e0),e2) = op(e2,op(e0,e2))
    & op(op(e2,e4),e3) = op(e2,op(e4,e3))
    & op(op(e4,e0),e0) = op(e4,op(e0,e0))
    & op(op(e5,e3),e3) = op(e5,op(e3,e3))
    & op(op(e1,e4),e1) = op(e1,op(e4,e1))
    & op(op(e1,e4),e4) = op(e1,op(e4,e4))
    & op(op(e3,e0),e1) = op(e3,op(e0,e1))
    & op(op(e2,e4),e5) = op(e2,op(e4,e5))
    & op(op(e1,e1),e1) = op(e1,op(e1,e1))
    & op(op(e4,e5),e5) = op(e4,op(e5,e5))
    & op(op(e1,e0),e0) = op(e1,op(e0,e0))
    & op(op(e0,e5),e3) = op(e0,op(e5,e3))
    & op(op(e4,e3),e2) = op(e4,op(e3,e2))
    & op(op(e2,e1),e2) = op(e2,op(e1,e2))
    & op(op(e5,e3),e5) = op(e5,op(e3,e5))
    & op(op(e3,e4),e2) = op(e3,op(e4,e2))
    & op(op(e1,e5),e2) = op(e1,op(e5,e2))
    & op(op(e2,e4),e0) = op(e2,op(e4,e0))
    & op(op(e4,e1),e4) = op(e4,op(e1,e4))
    & op(op(e0,e2),e2) = op(e0,op(e2,e2))
    & op(op(e5,e0),e1) = op(e5,op(e0,e1))
    & op(op(e3,e1),e2) = op(e3,op(e1,e2))
    & op(op(e3,e1),e3) = op(e3,op(e1,e3))
    & op(op(e2,e5),e2) = op(e2,op(e5,e2))
    & op(op(e5,e5),e4) = op(e5,op(e5,e4))
    & op(op(e1,e1),e4) = op(e1,op(e1,e4))
    & op(op(e5,e0),e5) = op(e5,op(e0,e5))
    & op(op(e4,e4),e3) = op(e4,op(e4,e3))
    & op(op(e1,e3),e4) = op(e1,op(e3,e4))
    & op(op(e2,e3),e4) = op(e2,op(e3,e4))
    & op(op(e1,e3),e5) = op(e1,op(e3,e5))
    & op(op(e5,e2),e1) = op(e5,op(e2,e1))
    & op(op(e3,e4),e3) = op(e3,op(e4,e3))
    & op(op(e2,e5),e3) = op(e2,op(e5,e3))
    & op(op(e3,e0),e2) = op(e3,op(e0,e2))
    & op(op(e0,e3),e4) = op(e0,op(e3,e4))
    & op(op(e3,e4),e4) = op(e3,op(e4,e4))
    & op(op(e3,e3),e1) = op(e3,op(e3,e1))
    & op(op(e0,e4),e0) = op(e0,op(e4,e0))
    & op(op(e2,e3),e2) = op(e2,op(e3,e2))
    & op(op(e0,e5),e4) = op(e0,op(e5,e4))
    & op(op(e3,e1),e1) = op(e3,op(e1,e1))
    & op(op(e3,e2),e1) = op(e3,op(e2,e1))
    & op(op(e0,e0),e5) = op(e0,op(e0,e5))
    & op(op(e1,e0),e2) = op(e1,op(e0,e2))
    & op(op(e3,e2),e2) = op(e3,op(e2,e2))
    & op(op(e2,e2),e2) = op(e2,op(e2,e2))
    & op(op(e2,e5),e5) = op(e2,op(e5,e5))
    & op(op(e4,e4),e4) = op(e4,op(e4,e4))
    & op(op(e0,e1),e4) = op(e0,op(e1,e4))
    & op(op(e0,e1),e2) = op(e0,op(e1,e2))
    & op(op(e4,e3),e1) = op(e4,op(e3,e1))
    & op(op(e1,e4),e0) = op(e1,op(e4,e0))
    & op(op(e0,e1),e3) = op(e0,op(e1,e3))
    & op(op(e1,e4),e3) = op(e1,op(e4,e3))
    & op(op(e5,e3),e4) = op(e5,op(e3,e4))
    & op(op(e2,e2),e4) = op(e2,op(e2,e4))
    & op(op(e5,e4),e4) = op(e5,op(e4,e4))
    & op(op(e0,e3),e5) = op(e0,op(e3,e5))
    & op(op(e2,e5),e1) = op(e2,op(e5,e1))
    & op(op(e5,e2),e2) = op(e5,op(e2,e2))
    & op(op(e5,e4),e3) = op(e5,op(e4,e3))
    & op(op(e3,e4),e1) = op(e3,op(e4,e1))
    & op(op(e2,e4),e2) = op(e2,op(e4,e2))
    & op(op(e5,e1),e3) = op(e5,op(e1,e3))
    & op(op(e5,e4),e2) = op(e5,op(e4,e2))
    & op(op(e3,e3),e3) = op(e3,op(e3,e3))
    & op(op(e4,e3),e5) = op(e4,op(e3,e5))
    & op(op(e4,e2),e2) = op(e4,op(e2,e2))
    & op(op(e4,e3),e3) = op(e4,op(e3,e3))
    & op(op(e5,e2),e0) = op(e5,op(e2,e0))
    & op(op(e5,e1),e1) = op(e5,op(e1,e1))
    & op(op(e5,e5),e1) = op(e5,op(e5,e1))
    & op(op(e3,e2),e0) = op(e3,op(e2,e0))
    & op(op(e1,e2),e3) = op(e1,op(e2,e3))
    & op(op(e0,e0),e1) = op(e0,op(e0,e1))
    & op(op(e0,e4),e3) = op(e0,op(e4,e3))
    & op(op(e5,e0),e0) = op(e5,op(e0,e0))
    & op(op(e2,e0),e0) = op(e2,op(e0,e0))
    & op(op(e4,e4),e0) = op(e4,op(e4,e0))
    & op(op(e5,e0),e2) = op(e5,op(e0,e2))
    & op(op(e3,e1),e0) = op(e3,op(e1,e0))
    & op(op(e3,e4),e5) = op(e3,op(e4,e5))
    & op(op(e0,e5),e0) = op(e0,op(e5,e0))
    & op(op(e3,e3),e2) = op(e3,op(e3,e2))
    & op(op(e0,e1),e0) = op(e0,op(e1,e0))
    & op(op(e2,e5),e0) = op(e2,op(e5,e0))
    & op(op(e0,e2),e5) = op(e0,op(e2,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f7413,plain,
    spl0_849,
    inference(avatar_split_clause,[],[f2305,f7410]) ).

fof(f7410,plain,
    ( spl0_849
  <=> unit = op(inv(e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).

fof(f2305,plain,
    unit = op(inv(e0),e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( unit = op(e4,inv(e4))
    & ( e0 = inv(e1)
      | e1 = inv(e1)
      | e4 = inv(e1)
      | e3 = inv(e1)
      | e2 = inv(e1)
      | e5 = inv(e1) )
    & unit = op(inv(e3),e3)
    & unit = op(e2,inv(e2))
    & unit = op(e5,inv(e5))
    & unit = op(inv(e5),e5)
    & ( e2 = inv(e0)
      | e3 = inv(e0)
      | e1 = inv(e0)
      | e5 = inv(e0)
      | e4 = inv(e0)
      | e0 = inv(e0) )
    & unit = op(inv(e1),e1)
    & ( e4 = inv(e5)
      | e2 = inv(e5)
      | e5 = inv(e5)
      | e0 = inv(e5)
      | e3 = inv(e5)
      | e1 = inv(e5) )
    & unit = op(e3,inv(e3))
    & unit = op(inv(e2),e2)
    & unit = op(e1,inv(e1))
    & unit = op(inv(e4),e4)
    & unit = op(e0,inv(e0))
    & ( e1 = inv(e3)
      | e5 = inv(e3)
      | e2 = inv(e3)
      | e3 = inv(e3)
      | e0 = inv(e3)
      | e4 = inv(e3) )
    & ( e4 = inv(e4)
      | e5 = inv(e4)
      | e1 = inv(e4)
      | e2 = inv(e4)
      | e0 = inv(e4)
      | e3 = inv(e4) )
    & unit = op(inv(e0),e0)
    & ( e5 = inv(e2)
      | e2 = inv(e2)
      | e4 = inv(e2)
      | e1 = inv(e2)
      | e3 = inv(e2)
      | e0 = inv(e2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f7408,plain,
    spl0_848,
    inference(avatar_split_clause,[],[f2462,f7405]) ).

fof(f7405,plain,
    ( spl0_848
  <=> op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).

fof(f2462,plain,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7403,plain,
    ( ~ spl0_102
    | ~ spl0_46
    | ~ spl0_70
    | ~ spl0_10
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1864,f3183,f2779,f3043,f2935,f3187]) ).

fof(f3187,plain,
    ( spl0_102
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2935,plain,
    ( spl0_46
  <=> e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3043,plain,
    ( spl0_70
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2779,plain,
    ( spl0_10
  <=> e0 = op(op(op(e1,e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3183,plain,
    ( spl0_101
  <=> e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1864,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1329]) ).

fof(f1329,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f688]) ).

fof(f688,axiom,
    ~ ( e4 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax688) ).

fof(f7402,plain,
    spl0_847,
    inference(avatar_split_clause,[],[f2346,f7399]) ).

fof(f7399,plain,
    ( spl0_847
  <=> op(op(e4,e2),e2) = op(e4,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).

fof(f2346,plain,
    op(op(e4,e2),e2) = op(e4,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7397,plain,
    ( ~ spl0_32
    | ~ spl0_111
    | ~ spl0_85
    | ~ spl0_82
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1896,f3202,f3096,f3108,f3229,f2875]) ).

fof(f2875,plain,
    ( spl0_32
  <=> e5 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3229,plain,
    ( spl0_111
  <=> e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3108,plain,
    ( spl0_85
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3096,plain,
    ( spl0_82
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f3202,plain,
    ( spl0_105
  <=> e4 = op(op(op(op(e3,e3),e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1896,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1197]) ).

fof(f1197,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(e3,e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f7396,plain,
    ( ~ spl0_132
    | ~ spl0_47
    | ~ spl0_45
    | ~ spl0_102
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2282,f2935,f3187,f2931,f2939,f3328]) ).

fof(f3328,plain,
    ( spl0_132
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2939,plain,
    ( spl0_47
  <=> e5 = op(op(op(e1,e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2931,plain,
    ( spl0_45
  <=> e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2282,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1103]) ).

fof(f1103,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f582]) ).

fof(f582,axiom,
    ~ ( e0 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax582) ).

fof(f7395,plain,
    ( ~ spl0_123
    | ~ spl0_35
    | ~ spl0_84
    | ~ spl0_83
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1921,f3206,f3100,f3104,f2887,f3287]) ).

fof(f3287,plain,
    ( spl0_123
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2887,plain,
    ( spl0_35
  <=> e4 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3104,plain,
    ( spl0_84
  <=> e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3100,plain,
    ( spl0_83
  <=> e0 = op(op(op(op(e3,e3),e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3206,plain,
    ( spl0_106
  <=> e1 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1921,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1394]) ).

fof(f1394,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f717]) ).

fof(f717,axiom,
    ~ ( e2 = op(e3,e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax717) ).

fof(f7394,plain,
    spl0_846,
    inference(avatar_split_clause,[],[f2499,f7391]) ).

fof(f7391,plain,
    ( spl0_846
  <=> op(op(e3,e5),e2) = op(e3,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).

fof(f2499,plain,
    op(op(e3,e5),e2) = op(e3,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7389,plain,
    ( ~ spl0_4
    | ~ spl0_184
    | ~ spl0_3
    | ~ spl0_183
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1987,f3126,f3571,f2749,f3575,f2753]) ).

fof(f2753,plain,
    ( spl0_4
  <=> e5 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3575,plain,
    ( spl0_184
  <=> e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2749,plain,
    ( spl0_3
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3571,plain,
    ( spl0_183
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f3126,plain,
    ( spl0_89
  <=> e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1987,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f948]) ).

fof(f948,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f560,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1
      & e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax560) ).

fof(f7388,plain,
    ( spl0_840
    | spl0_841
    | spl0_842
    | spl0_843
    | spl0_844
    | spl0_845 ),
    inference(avatar_split_clause,[],[f2177,f7385,f7381,f7377,f7373,f7369,f7365]) ).

fof(f7365,plain,
    ( spl0_840
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).

fof(f7369,plain,
    ( spl0_841
  <=> e4 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).

fof(f7373,plain,
    ( spl0_842
  <=> e5 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).

fof(f7377,plain,
    ( spl0_843
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).

fof(f7381,plain,
    ( spl0_844
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).

fof(f7385,plain,
    ( spl0_845
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).

fof(f2177,plain,
    ( e2 = op(e1,e0)
    | e0 = op(e1,e0)
    | e1 = op(e1,e0)
    | e5 = op(e1,e0)
    | e4 = op(e1,e0)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e5 = op(e1,e0)
      | e2 = op(e1,e0)
      | e0 = op(e1,e0)
      | e1 = op(e1,e0) )
    & ( e5 = op(e4,e4)
      | e4 = op(e4,e4)
      | e2 = op(e4,e4)
      | e3 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e2 = op(e0,e3)
      | e5 = op(e0,e3)
      | e0 = op(e0,e3)
      | e3 = op(e0,e3)
      | e1 = op(e0,e3)
      | e4 = op(e0,e3) )
    & ( e0 = op(e0,e5)
      | e3 = op(e0,e5)
      | e2 = op(e0,e5)
      | e4 = op(e0,e5)
      | e5 = op(e0,e5)
      | e1 = op(e0,e5) )
    & ( e5 = op(e2,e5)
      | e2 = op(e2,e5)
      | e3 = op(e2,e5)
      | e0 = op(e2,e5)
      | e4 = op(e2,e5)
      | e1 = op(e2,e5) )
    & ( e1 = op(e5,e3)
      | e5 = op(e5,e3)
      | e2 = op(e5,e3)
      | e4 = op(e5,e3)
      | e3 = op(e5,e3)
      | e0 = op(e5,e3) )
    & ( e0 = op(e2,e4)
      | e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e5 = op(e2,e4)
      | e4 = op(e2,e4)
      | e1 = op(e2,e4) )
    & ( e0 = op(e5,e4)
      | e2 = op(e5,e4)
      | e1 = op(e5,e4)
      | e5 = op(e5,e4)
      | e3 = op(e5,e4)
      | e4 = op(e5,e4) )
    & ( e3 = op(e3,e1)
      | e5 = op(e3,e1)
      | e2 = op(e3,e1)
      | e0 = op(e3,e1)
      | e4 = op(e3,e1)
      | e1 = op(e3,e1) )
    & ( e3 = op(e4,e1)
      | e5 = op(e4,e1)
      | e2 = op(e4,e1)
      | e4 = op(e4,e1)
      | e0 = op(e4,e1)
      | e1 = op(e4,e1) )
    & ( e3 = op(e1,e1)
      | e4 = op(e1,e1)
      | e0 = op(e1,e1)
      | e5 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1) )
    & ( e5 = op(e0,e2)
      | e3 = op(e0,e2)
      | e4 = op(e0,e2)
      | e0 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2) )
    & ( e4 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e0 = op(e3,e2)
      | e1 = op(e3,e2)
      | e5 = op(e3,e2) )
    & ( e5 = op(e3,e4)
      | e4 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4)
      | e2 = op(e3,e4)
      | e3 = op(e3,e4) )
    & ( op(e0,e0) = e4
      | op(e0,e0) = e3
      | op(e0,e0) = e5
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | e0 = op(e0,e0) )
    & ( e2 = op(e1,e2)
      | e0 = op(e1,e2)
      | e3 = op(e1,e2)
      | e1 = op(e1,e2)
      | e4 = op(e1,e2)
      | e5 = op(e1,e2) )
    & ( e2 = op(e0,e1)
      | e3 = op(e0,e1)
      | e0 = op(e0,e1)
      | e5 = op(e0,e1)
      | e4 = op(e0,e1)
      | e1 = op(e0,e1) )
    & ( e5 = op(e2,e1)
      | e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e0 = op(e2,e1)
      | e1 = op(e2,e1)
      | e2 = op(e2,e1) )
    & ( e0 = op(e5,e0)
      | e4 = op(e5,e0)
      | e3 = op(e5,e0)
      | e1 = op(e5,e0)
      | e5 = op(e5,e0)
      | e2 = op(e5,e0) )
    & ( e3 = op(e0,e4)
      | e0 = op(e0,e4)
      | e2 = op(e0,e4)
      | e4 = op(e0,e4)
      | e5 = op(e0,e4)
      | e1 = op(e0,e4) )
    & ( e5 = op(e2,e0)
      | e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e0 = op(e2,e0)
      | e1 = op(e2,e0)
      | e4 = op(e2,e0) )
    & ( e1 = op(e5,e5)
      | e0 = op(e5,e5)
      | e4 = op(e5,e5)
      | e5 = op(e5,e5)
      | e2 = op(e5,e5)
      | e3 = op(e5,e5) )
    & ( e5 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2)
      | e4 = op(e2,e2)
      | e3 = op(e2,e2) )
    & ( e0 = op(e1,e4)
      | e5 = op(e1,e4)
      | e3 = op(e1,e4)
      | e4 = op(e1,e4)
      | e1 = op(e1,e4)
      | e2 = op(e1,e4) )
    & ( e5 = op(e3,e3)
      | e3 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3)
      | e2 = op(e3,e3)
      | e4 = op(e3,e3) )
    & ( e0 = op(e4,e0)
      | e5 = op(e4,e0)
      | e1 = op(e4,e0)
      | e2 = op(e4,e0)
      | e3 = op(e4,e0)
      | e4 = op(e4,e0) )
    & ( e0 = op(e3,e5)
      | e2 = op(e3,e5)
      | e3 = op(e3,e5)
      | e4 = op(e3,e5)
      | e1 = op(e3,e5)
      | e5 = op(e3,e5) )
    & ( e2 = op(e5,e2)
      | e1 = op(e5,e2)
      | e5 = op(e5,e2)
      | e4 = op(e5,e2)
      | e0 = op(e5,e2)
      | e3 = op(e5,e2) )
    & ( e3 = op(e4,e5)
      | e2 = op(e4,e5)
      | e5 = op(e4,e5)
      | e1 = op(e4,e5)
      | e4 = op(e4,e5)
      | e0 = op(e4,e5) )
    & ( e0 = op(e4,e2)
      | e5 = op(e4,e2)
      | e4 = op(e4,e2)
      | e1 = op(e4,e2)
      | e2 = op(e4,e2)
      | e3 = op(e4,e2) )
    & ( e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e5 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3)
      | e4 = op(e2,e3) )
    & ( e1 = op(e1,e5)
      | e4 = op(e1,e5)
      | e3 = op(e1,e5)
      | e5 = op(e1,e5)
      | e0 = op(e1,e5)
      | e2 = op(e1,e5) )
    & ( e3 = op(e3,e0)
      | e1 = op(e3,e0)
      | e4 = op(e3,e0)
      | e0 = op(e3,e0)
      | e5 = op(e3,e0)
      | e2 = op(e3,e0) )
    & ( e5 = op(e4,e3)
      | e1 = op(e4,e3)
      | e0 = op(e4,e3)
      | e4 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3) )
    & ( e3 = op(e5,e1)
      | e5 = op(e5,e1)
      | e0 = op(e5,e1)
      | e2 = op(e5,e1)
      | e1 = op(e5,e1)
      | e4 = op(e5,e1) )
    & ( e1 = op(e1,e3)
      | e4 = op(e1,e3)
      | e5 = op(e1,e3)
      | e3 = op(e1,e3)
      | e0 = op(e1,e3)
      | e2 = op(e1,e3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f7363,plain,
    spl0_839,
    inference(avatar_split_clause,[],[f2307,f7360]) ).

fof(f7360,plain,
    ( spl0_839
  <=> unit = op(inv(e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).

fof(f2307,plain,
    unit = op(inv(e4),e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f7358,plain,
    ( ~ spl0_162
    | ~ spl0_298
    | ~ spl0_123
    | ~ spl0_106
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2716,f3789,f3206,f3287,f4187,f3467]) ).

fof(f3467,plain,
    ( spl0_162
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f4187,plain,
    ( spl0_298
  <=> e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f3789,plain,
    ( spl0_227
  <=> e5 = op(op(op(op(e3,e3),e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f2716,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1318]) ).

fof(f1318,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f492]) ).

fof(f492,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax492) ).

fof(f7357,plain,
    spl0_838,
    inference(avatar_split_clause,[],[f2518,f7354]) ).

fof(f7354,plain,
    ( spl0_838
  <=> op(op(e5,e0),e4) = op(e5,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).

fof(f2518,plain,
    op(op(e5,e0),e4) = op(e5,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7352,plain,
    ( ~ spl0_163
    | ~ spl0_188
    | ~ spl0_227
    | ~ spl0_162
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2601,f3225,f3467,f3789,f3597,f3471]) ).

fof(f3471,plain,
    ( spl0_163
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3597,plain,
    ( spl0_188
  <=> e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f3225,plain,
    ( spl0_110
  <=> e2 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2601,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1380]) ).

fof(f1380,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f134,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(e3,e3)
      & e0 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).

fof(f7351,plain,
    ( ~ spl0_31
    | ~ spl0_247
    | ~ spl0_171
    | ~ spl0_150
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f2134,f3895,f3412,f3510,f3891,f2870]) ).

fof(f2870,plain,
    ( spl0_31
  <=> e1 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3891,plain,
    ( spl0_247
  <=> e3 = op(op(op(op(e5,e5),e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f3510,plain,
    ( spl0_171
  <=> e4 = op(op(e5,e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3412,plain,
    ( spl0_150
  <=> e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f3895,plain,
    ( spl0_248
  <=> e2 = op(op(op(e5,e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f2134,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1096]) ).

fof(f1096,plain,
    ( e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ~ ( e1 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

fof(f7350,plain,
    ( ~ spl0_23
    | ~ spl0_25
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f2170,f3669,f2818,f2802,f2845,f2837]) ).

fof(f2837,plain,
    ( spl0_23
  <=> e3 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2845,plain,
    ( spl0_25
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2802,plain,
    ( spl0_15
  <=> e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2818,plain,
    ( spl0_19
  <=> e5 = op(op(op(op(e2,e2),e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f3669,plain,
    ( spl0_204
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f2170,plain,
    ( e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1037]) ).

fof(f1037,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f528]) ).

fof(f528,axiom,
    ~ ( e0 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax528) ).

fof(f7349,plain,
    ( ~ spl0_143
    | ~ spl0_213
    | ~ spl0_209
    | ~ spl0_180
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2583,f2968,f3556,f3695,f3715,f3380]) ).

fof(f3380,plain,
    ( spl0_143
  <=> e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3715,plain,
    ( spl0_213
  <=> e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f3695,plain,
    ( spl0_209
  <=> e3 = op(op(e4,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f3556,plain,
    ( spl0_180
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f2968,plain,
    ( spl0_54
  <=> e0 = op(op(op(e4,e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2583,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f873]) ).

fof(f873,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f300]) ).

fof(f300,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax300) ).

fof(f7348,plain,
    ( spl0_163
    | spl0_85
    | spl0_837
    | spl0_109
    | spl0_36
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2201,f3287,f2891,f3221,f7345,f3108,f3471]) ).

fof(f7345,plain,
    ( spl0_837
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).

fof(f3221,plain,
    ( spl0_109
  <=> e5 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2891,plain,
    ( spl0_36
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2201,plain,
    ( e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e5 = op(e3,e3)
    | e3 = op(e3,e3)
    | e1 = op(e3,e3)
    | e4 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7343,plain,
    ( ~ spl0_105
    | ~ spl0_33
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2161,f3500,f2891,f2875,f2879,f3202]) ).

fof(f2879,plain,
    ( spl0_33
  <=> e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f3500,plain,
    ( spl0_169
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2161,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1364]) ).

fof(f1364,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f294]) ).

fof(f294,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax294) ).

fof(f7342,plain,
    ( ~ spl0_12
    | ~ spl0_220
    | ~ spl0_132
    | ~ spl0_131
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1924,f3056,f3324,f3328,f3753,f2787]) ).

fof(f2787,plain,
    ( spl0_12
  <=> e5 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3753,plain,
    ( spl0_220
  <=> e4 = op(op(op(e1,e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f3324,plain,
    ( spl0_131
  <=> e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3056,plain,
    ( spl0_73
  <=> e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1924,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1382]) ).

fof(f1382,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f366]) ).

fof(f366,axiom,
    ~ ( e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(e1,e1)
      & e5 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax366) ).

fof(f7341,plain,
    ~ spl0_836,
    inference(avatar_split_clause,[],[f1728,f7338]) ).

fof(f7338,plain,
    ( spl0_836
  <=> inv(e2) = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).

fof(f1728,plain,
    inv(e2) != inv(e3),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ( inv(e0) != inv(e3)
    & inv(e3) != inv(e4)
    & inv(e0) != inv(e2)
    & inv(e2) != inv(e4)
    & inv(e1) != inv(e3)
    & inv(e3) != inv(e5)
    & inv(e1) != inv(e4)
    & inv(e0) != inv(e5)
    & inv(e4) != inv(e5)
    & inv(e2) != inv(e3)
    & inv(e1) != inv(e5)
    & inv(e1) != inv(e2)
    & inv(e2) != inv(e5)
    & inv(e0) != inv(e1)
    & inv(e0) != inv(e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f7336,plain,
    ( ~ spl0_164
    | ~ spl0_88
    | ~ spl0_75
    | ~ spl0_2
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2693,f3126,f2745,f3066,f3122,f3476]) ).

fof(f3476,plain,
    ( spl0_164
  <=> op(e0,e0) = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3122,plain,
    ( spl0_88
  <=> e2 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3066,plain,
    ( spl0_75
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2745,plain,
    ( spl0_2
  <=> e1 = op(op(op(op(e0,e0),e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2693,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5 ),
    inference(cnf_transformation,[],[f1383]) ).

fof(f1383,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f580]) ).

fof(f580,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5
      & e2 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax580) ).

fof(f7335,plain,
    ~ spl0_835,
    inference(avatar_split_clause,[],[f1711,f7332]) ).

fof(f7332,plain,
    ( spl0_835
  <=> op(e0,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).

fof(f1711,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ( op(e0,e0) != op(e0,e1)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e5,e2)
    & op(e5,e3) != op(e5,e4)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e1,e2) != op(e1,e5)
    & op(e0,e4) != op(e5,e4)
    & op(e3,e0) != op(e3,e4)
    & op(e4,e4) != op(e5,e4)
    & op(e2,e5) != op(e5,e5)
    & op(e2,e1) != op(e5,e1)
    & op(e0,e3) != op(e4,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e5,e0) != op(e5,e4)
    & op(e1,e3) != op(e5,e3)
    & op(e4,e2) != op(e4,e5)
    & op(e0,e0) != op(e4,e0)
    & op(e5,e2) != op(e5,e5)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e0) != op(e3,e0)
    & op(e2,e1) != op(e2,e5)
    & op(e1,e1) != op(e5,e1)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e5,e2) != op(e5,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e5) != op(e5,e5)
    & op(e2,e3) != op(e5,e3)
    & op(e1,e1) != op(e4,e1)
    & op(e4,e0) != op(e4,e2)
    & op(e2,e2) != op(e2,e3)
    & op(e1,e1) != op(e1,e5)
    & op(e5,e1) != op(e5,e2)
    & op(e4,e1) != op(e4,e2)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e0) != op(e3,e0)
    & op(e5,e0) != op(e5,e2)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e5) != op(e3,e5)
    & op(e0,e5) != op(e3,e5)
    & op(e1,e3) != op(e1,e4)
    & op(e2,e3) != op(e2,e5)
    & op(e2,e0) != op(e5,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e5) != op(e1,e5)
    & op(e1,e2) != op(e4,e2)
    & op(e3,e3) != op(e3,e5)
    & op(e2,e1) != op(e4,e1)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e1) != op(e3,e1)
    & op(e4,e0) != op(e4,e3)
    & op(e1,e0) != op(e1,e4)
    & op(e5,e0) != op(e5,e3)
    & op(e2,e5) != op(e4,e5)
    & op(e0,e4) != op(e2,e4)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e0) != op(e0,e3)
    & op(e5,e1) != op(e5,e3)
    & op(e4,e3) != op(e5,e3)
    & op(e4,e1) != op(e4,e3)
    & op(e5,e0) != op(e5,e1)
    & op(e1,e0) != op(e4,e0)
    & op(e3,e1) != op(e4,e1)
    & op(e1,e4) != op(e2,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e3,e3) != op(e3,e4)
    & op(e4,e1) != op(e4,e5)
    & op(e0,e4) != op(e1,e4)
    & op(e0,e1) != op(e5,e1)
    & op(e2,e0) != op(e2,e1)
    & op(e4,e2) != op(e4,e3)
    & op(e3,e2) != op(e3,e4)
    & op(e1,e3) != op(e3,e3)
    & op(e4,e0) != op(e4,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e3) != op(e1,e5)
    & op(e0,e0) != op(e5,e0)
    & op(e0,e4) != op(e4,e4)
    & op(e3,e1) != op(e3,e5)
    & op(e0,e5) != op(e4,e5)
    & op(e2,e1) != op(e2,e3)
    & op(e1,e2) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e4,e3) != op(e4,e4)
    & op(e5,e1) != op(e5,e4)
    & op(e0,e1) != op(e0,e2)
    & op(e3,e2) != op(e3,e5)
    & op(e2,e4) != op(e2,e5)
    & op(e3,e1) != op(e3,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e0) != op(e2,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e3,e0) != op(e3,e5)
    & op(e0,e3) != op(e5,e3)
    & op(e3,e3) != op(e5,e3)
    & op(e5,e3) != op(e5,e5)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e5) != op(e5,e5)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e3) != op(e0,e5)
    & op(e0,e0) != op(e0,e5)
    & op(e0,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e4,e1) != op(e5,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e1,e4)
    & op(e3,e2) != op(e5,e2)
    & op(e0,e2) != op(e5,e2)
    & op(e2,e3) != op(e3,e3)
    & op(e5,e0) != op(e5,e5)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e4) != op(e1,e5)
    & op(e1,e5) != op(e4,e5)
    & op(e0,e2) != op(e1,e2)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e2,e2) != op(e2,e4)
    & op(e4,e2) != op(e5,e2)
    & op(e2,e2) != op(e2,e5)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e4)
    & op(e4,e0) != op(e4,e4)
    & op(e0,e4) != op(e0,e5)
    & op(e2,e4) != op(e5,e4)
    & op(e0,e2) != op(e0,e5)
    & op(e5,e1) != op(e5,e5)
    & op(e1,e0) != op(e5,e0)
    & op(e0,e0) != op(e1,e0)
    & op(e4,e5) != op(e5,e5)
    & op(e0,e5) != op(e2,e5)
    & op(e1,e5) != op(e2,e5)
    & op(e2,e0) != op(e2,e5)
    & op(e0,e3) != op(e0,e4)
    & op(e1,e0) != op(e3,e0)
    & op(e3,e2) != op(e3,e3)
    & op(e1,e2) != op(e3,e2)
    & op(e4,e0) != op(e4,e5)
    & op(e2,e0) != op(e4,e0)
    & op(e0,e1) != op(e0,e3)
    & op(e1,e5) != op(e3,e5)
    & op(e3,e0) != op(e5,e0)
    & op(e2,e3) != op(e4,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e3,e5) != op(e5,e5)
    & op(e3,e4) != op(e3,e5)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e4) != op(e5,e4)
    & op(e1,e0) != op(e1,e5)
    & op(e2,e2) != op(e5,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e1,e4) != op(e5,e4)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e1,e2) != op(e1,e4)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e3) != op(e4,e5)
    & op(e5,e4) != op(e5,e5)
    & op(e0,e0) != op(e0,e2)
    & op(e3,e1) != op(e5,e1)
    & op(e0,e3) != op(e2,e3)
    & op(e5,e2) != op(e5,e4)
    & op(e4,e4) != op(e4,e5)
    & op(e4,e0) != op(e5,e0)
    & op(e0,e1) != op(e0,e5)
    & op(e0,e2) != op(e0,e3)
    & op(e2,e4) != op(e3,e4)
    & op(e3,e5) != op(e4,e5)
    & op(e0,e3) != op(e3,e3)
    & op(e4,e2) != op(e4,e4)
    & op(e0,e1) != op(e0,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f7330,plain,
    ( ~ spl0_309
    | ~ spl0_81
    | ~ spl0_206
    | ~ spl0_204
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2054,f3673,f3669,f3677,f3091,f4248]) ).

fof(f4248,plain,
    ( spl0_309
  <=> e0 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f3091,plain,
    ( spl0_81
  <=> e5 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3677,plain,
    ( spl0_206
  <=> e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f3673,plain,
    ( spl0_205
  <=> e4 = op(op(op(op(e2,e2),e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f2054,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f759]) ).

fof(f759,plain,
    ( e1 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f400]) ).

fof(f400,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax400) ).

fof(f7329,plain,
    spl0_834,
    inference(avatar_split_clause,[],[f2360,f7326]) ).

fof(f7326,plain,
    ( spl0_834
  <=> op(op(e1,e4),e3) = op(e1,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).

fof(f2360,plain,
    op(op(e1,e4),e3) = op(e1,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7324,plain,
    ( ~ spl0_29
    | ~ spl0_170
    | ~ spl0_175
    | ~ spl0_115
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2053,f3243,f3247,f3532,f3506,f2862]) ).

fof(f2862,plain,
    ( spl0_29
  <=> e3 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f3506,plain,
    ( spl0_170
  <=> e0 = op(op(op(op(e5,e5),e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3532,plain,
    ( spl0_175
  <=> e2 = op(op(e5,e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3247,plain,
    ( spl0_115
  <=> e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3243,plain,
    ( spl0_114
  <=> e4 = op(op(op(e5,e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2053,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f982]) ).

fof(f982,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f171]) ).

fof(f171,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e3 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).

fof(f7323,plain,
    ( ~ spl0_73
    | ~ spl0_71
    | ~ spl0_12
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2060,f3043,f3035,f2787,f3048,f3056]) ).

fof(f3048,plain,
    ( spl0_71
  <=> e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3035,plain,
    ( spl0_68
  <=> e2 = op(op(op(e1,e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2060,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f751]) ).

fof(f751,plain,
    ( e4 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).

fof(f7322,plain,
    ( ~ spl0_65
    | ~ spl0_66
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2695,f2858,f3163,f3159,f3025,f3021]) ).

fof(f3021,plain,
    ( spl0_65
  <=> e3 = op(op(op(e5,e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3025,plain,
    ( spl0_66
  <=> e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3159,plain,
    ( spl0_96
  <=> e0 = op(op(e5,e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3163,plain,
    ( spl0_97
  <=> e1 = op(op(op(op(e5,e5),e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2858,plain,
    ( spl0_28
  <=> e2 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2695,plain,
    ( e2 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f915]) ).

fof(f915,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5) ),
    inference(ennf_transformation,[],[f507]) ).

fof(f507,axiom,
    ~ ( e3 = op(op(op(e5,e5),e5),e5)
      & e2 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax507) ).

fof(f7321,plain,
    ( ~ spl0_18
    | ~ spl0_134
    | ~ spl0_117
    | ~ spl0_17
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1455,f3551,f2810,f3257,f3337,f2814]) ).

fof(f2814,plain,
    ( spl0_18
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f3337,plain,
    ( spl0_134
  <=> e1 = op(op(op(op(e2,e2),e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3257,plain,
    ( spl0_117
  <=> e4 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2810,plain,
    ( spl0_17
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f3551,plain,
    ( spl0_179
  <=> e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1455,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1452]) ).

fof(f1452,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f635]) ).

fof(f635,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax635) ).

fof(f7320,plain,
    ( ~ spl0_163
    | ~ spl0_33
    | ~ spl0_162
    | ~ spl0_32
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2045,f2883,f2875,f3467,f2879,f3471]) ).

fof(f2883,plain,
    ( spl0_34
  <=> e1 = op(op(op(op(e3,e3),e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2045,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1351]) ).

fof(f1351,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f275]) ).

fof(f275,axiom,
    ~ ( e5 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e4 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax275) ).

fof(f7319,plain,
    ( ~ spl0_36
    | ~ spl0_105
    | ~ spl0_33
    | ~ spl0_106
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1826,f3173,f3206,f2879,f3202,f2891]) ).

fof(f3173,plain,
    ( spl0_99
  <=> e5 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1826,plain,
    ( e5 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f987]) ).

fof(f987,plain,
    ( e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f354]) ).

fof(f354,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax354) ).

fof(f7318,plain,
    spl0_833,
    inference(avatar_split_clause,[],[f2464,f7315]) ).

fof(f7315,plain,
    ( spl0_833
  <=> op(op(e2,e1),e5) = op(e2,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).

fof(f2464,plain,
    op(op(e2,e1),e5) = op(e2,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7313,plain,
    ( ~ spl0_122
    | ~ spl0_144
    | ~ spl0_209
    | ~ spl0_140
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2657,f3380,f3367,f3695,f3384,f3282]) ).

fof(f3282,plain,
    ( spl0_122
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3384,plain,
    ( spl0_144
  <=> e1 = op(op(op(op(e4,e4),e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3367,plain,
    ( spl0_140
  <=> e5 = op(op(op(e4,e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2657,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1054]) ).

fof(f1054,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f319]) ).

fof(f319,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax319) ).

fof(f7312,plain,
    ( ~ spl0_221
    | ~ spl0_132
    | ~ spl0_220
    | ~ spl0_73
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2703,f3183,f3056,f3753,f3328,f3757]) ).

fof(f3757,plain,
    ( spl0_221
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f2703,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f770]) ).

fof(f770,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f678]) ).

fof(f678,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1)
      & e4 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax678) ).

fof(f7311,plain,
    ( spl0_827
    | spl0_828
    | spl0_829
    | spl0_830
    | spl0_831
    | spl0_832 ),
    inference(avatar_split_clause,[],[f2188,f7308,f7304,f7300,f7296,f7292,f7288]) ).

fof(f7288,plain,
    ( spl0_827
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).

fof(f7292,plain,
    ( spl0_828
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).

fof(f7296,plain,
    ( spl0_829
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).

fof(f7300,plain,
    ( spl0_830
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).

fof(f7304,plain,
    ( spl0_831
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).

fof(f7308,plain,
    ( spl0_832
  <=> e5 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).

fof(f2188,plain,
    ( e5 = op(e0,e2)
    | e4 = op(e0,e2)
    | e3 = op(e0,e2)
    | e0 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7286,plain,
    spl0_826,
    inference(avatar_split_clause,[],[f2411,f7283]) ).

fof(f7283,plain,
    ( spl0_826
  <=> op(op(e5,e3),e3) = op(e5,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).

fof(f2411,plain,
    op(op(e5,e3),e3) = op(e5,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7281,plain,
    ( ~ spl0_263
    | ~ spl0_134
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1995,f3551,f2837,f2810,f3337,f3986]) ).

fof(f3986,plain,
    ( spl0_263
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f1995,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f907]) ).

fof(f907,plain,
    ( e4 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f629]) ).

fof(f629,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2)
      & e0 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax629) ).

fof(f7280,plain,
    ( ~ spl0_33
    | ~ spl0_109
    | ~ spl0_105
    | ~ spl0_169
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1996,f3291,f3500,f3202,f3221,f2879]) ).

fof(f3291,plain,
    ( spl0_124
  <=> e0 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1996,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1256]) ).

fof(f1256,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3) ),
    inference(ennf_transformation,[],[f280]) ).

fof(f280,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e5 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax280) ).

fof(f7279,plain,
    spl0_825,
    inference(avatar_split_clause,[],[f2458,f7276]) ).

fof(f7276,plain,
    ( spl0_825
  <=> op(op(e4,e3),e0) = op(e4,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).

fof(f2458,plain,
    op(op(e4,e3),e0) = op(e4,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7274,plain,
    spl0_824,
    inference(avatar_split_clause,[],[f2509,f7271]) ).

fof(f7271,plain,
    ( spl0_824
  <=> op(op(e0,e4),e5) = op(e0,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).

fof(f2509,plain,
    op(op(e0,e4),e5) = op(e0,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7269,plain,
    ~ spl0_823,
    inference(avatar_split_clause,[],[f1619,f7266]) ).

fof(f7266,plain,
    ( spl0_823
  <=> op(e1,e0) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).

fof(f1619,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7264,plain,
    ( ~ spl0_124
    | ~ spl0_33
    | ~ spl0_169
    | ~ spl0_163
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2566,f3789,f3471,f3500,f2879,f3291]) ).

fof(f2566,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1368]) ).

fof(f1368,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f278,axiom,
    ~ ( e4 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(e3,e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax278) ).

fof(f7263,plain,
    ~ spl0_822,
    inference(avatar_split_clause,[],[f1487,f7260]) ).

fof(f7260,plain,
    ( spl0_822
  <=> e2 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).

fof(f1487,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ( e0 != e2
    & e3 != e5
    & e4 != e5
    & e1 != e4
    & e2 != e5
    & e0 != e1
    & e0 != e3
    & e3 != e4
    & e0 != e5
    & e1 != e3
    & e2 != e3
    & e1 != e2
    & e0 != e4
    & e2 != e4
    & e1 != e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f7258,plain,
    spl0_821,
    inference(avatar_split_clause,[],[f2339,f7255]) ).

fof(f7255,plain,
    ( spl0_821
  <=> op(op(e0,e0),e1) = op(e0,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).

fof(f2339,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7253,plain,
    ( ~ spl0_225
    | ~ spl0_4
    | ~ spl0_90
    | ~ spl0_107
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f2120,f2745,f3211,f3130,f2753,f3778]) ).

fof(f3778,plain,
    ( spl0_225
  <=> e4 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f3130,plain,
    ( spl0_90
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3211,plain,
    ( spl0_107
  <=> e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2120,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1257]) ).

fof(f1257,plain,
    ( e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f346]) ).

fof(f346,axiom,
    ~ ( op(e0,e0) = e3
      & e4 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax346) ).

fof(f7252,plain,
    ( ~ spl0_114
    | ~ spl0_31
    | ~ spl0_113
    | ~ spl0_150
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2254,f3013,f3412,f3239,f2870,f3243]) ).

fof(f3239,plain,
    ( spl0_113
  <=> e3 = op(op(e5,e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3013,plain,
    ( spl0_63
  <=> e2 = op(op(op(op(e5,e5),e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2254,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f958]) ).

fof(f958,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ~ ( e1 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

fof(f7251,plain,
    ( ~ spl0_151
    | ~ spl0_224
    | ~ spl0_168
    | ~ spl0_91
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2691,f3130,f3134,f3495,f3774,f3417]) ).

fof(f3417,plain,
    ( spl0_151
  <=> e4 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3774,plain,
    ( spl0_224
  <=> e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f3495,plain,
    ( spl0_168
  <=> e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f3134,plain,
    ( spl0_91
  <=> e5 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2691,plain,
    ( op(e0,e0) != e3
    | e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1097]) ).

fof(f1097,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e5 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f250]) ).

fof(f250,axiom,
    ~ ( e4 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax250) ).

fof(f7250,plain,
    ( ~ spl0_171
    | ~ spl0_65
    | ~ spl0_95
    | ~ spl0_30
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1741,f3163,f2866,f3155,f3021,f3510]) ).

fof(f3155,plain,
    ( spl0_95
  <=> e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2866,plain,
    ( spl0_30
  <=> e0 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1741,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1176]) ).

fof(f1176,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f337]) ).

fof(f337,axiom,
    ~ ( e0 = op(e5,e5)
      & e4 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax337) ).

fof(f7249,plain,
    spl0_820,
    inference(avatar_split_clause,[],[f2431,f7246]) ).

fof(f7246,plain,
    ( spl0_820
  <=> op(op(e1,e0),e5) = op(e1,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).

fof(f2431,plain,
    op(op(e1,e0),e5) = op(e1,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7244,plain,
    ( ~ spl0_141
    | ~ spl0_146
    | ~ spl0_122
    | ~ spl0_121
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1848,f3384,f3278,f3282,f3392,f3371]) ).

fof(f3371,plain,
    ( spl0_141
  <=> e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3392,plain,
    ( spl0_146
  <=> e5 = op(op(e4,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3278,plain,
    ( spl0_121
  <=> e2 = op(op(op(e4,e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1848,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1334]) ).

fof(f1334,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f481]) ).

fof(f481,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(e4,e4),e4)
      & e0 = op(e4,e4)
      & e2 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax481) ).

fof(f7243,plain,
    ( ~ spl0_106
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_83
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2277,f3221,f3100,f2887,f2879,f3206]) ).

fof(f2277,plain,
    ( e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f949]) ).

fof(f949,plain,
    ( e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f335]) ).

fof(f335,axiom,
    ~ ( e4 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e5 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax335) ).

fof(f7242,plain,
    ( ~ spl0_187
    | ~ spl0_47
    | ~ spl0_102
    | ~ spl0_131
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2631,f3043,f3324,f3187,f2939,f3591]) ).

fof(f3591,plain,
    ( spl0_187
  <=> e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f2631,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1262]) ).

fof(f1262,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f323]) ).

fof(f323,axiom,
    ~ ( e3 = op(op(e1,e1),e1)
      & e4 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax323) ).

fof(f7241,plain,
    ~ spl0_819,
    inference(avatar_split_clause,[],[f1555,f7238]) ).

fof(f7238,plain,
    ( spl0_819
  <=> op(e1,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).

fof(f1555,plain,
    op(e1,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7236,plain,
    spl0_818,
    inference(avatar_split_clause,[],[f2358,f7233]) ).

fof(f7233,plain,
    ( spl0_818
  <=> op(op(e2,e2),e4) = op(e2,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).

fof(f2358,plain,
    op(op(e2,e2),e4) = op(e2,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7231,plain,
    ~ spl0_817,
    inference(avatar_split_clause,[],[f1600,f7228]) ).

fof(f7228,plain,
    ( spl0_817
  <=> op(e3,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).

fof(f1600,plain,
    op(e3,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7226,plain,
    spl0_816,
    inference(avatar_split_clause,[],[f2429,f7223]) ).

fof(f7223,plain,
    ( spl0_816
  <=> op(op(e5,e5),e2) = op(e5,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).

fof(f2429,plain,
    op(op(e5,e5),e2) = op(e5,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7221,plain,
    ( ~ spl0_83
    | ~ spl0_32
    | ~ spl0_298
    | ~ spl0_85
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2578,f3096,f3108,f4187,f2875,f3100]) ).

fof(f2578,plain,
    ( e2 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1424]) ).

fof(f1424,plain,
    ( e2 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f561]) ).

fof(f561,axiom,
    ~ ( e1 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax561) ).

fof(f7220,plain,
    ( ~ spl0_82
    | ~ spl0_85
    | ~ spl0_227
    | ~ spl0_298
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1878,f3291,f4187,f3789,f3108,f3096]) ).

fof(f1878,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1104]) ).

fof(f1104,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f540]) ).

fof(f540,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e1 = op(e3,e3)
      & e2 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax540) ).

fof(f7219,plain,
    ( ~ spl0_81
    | ~ spl0_204
    | ~ spl0_80
    | ~ spl0_309
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2656,f2802,f4248,f3087,f3669,f3091]) ).

fof(f3087,plain,
    ( spl0_80
  <=> e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2656,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1412]) ).

fof(f1412,plain,
    ( e1 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(ennf_transformation,[],[f520]) ).

fof(f520,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax520) ).

fof(f7218,plain,
    ( ~ spl0_190
    | ~ spl0_166
    | ~ spl0_146
    | ~ spl0_180
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2567,f3375,f3556,f3392,f3485,f3606]) ).

fof(f3606,plain,
    ( spl0_190
  <=> e3 = op(op(op(e4,e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f3485,plain,
    ( spl0_166
  <=> e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f3375,plain,
    ( spl0_142
  <=> e2 = op(op(op(op(e4,e4),e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2567,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f997]) ).

fof(f997,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).

fof(f7217,plain,
    ( ~ spl0_131
    | ~ spl0_130
    | ~ spl0_187
    | ~ spl0_158
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2558,f3052,f3447,f3591,f3320,f3324]) ).

fof(f3320,plain,
    ( spl0_130
  <=> e3 = op(op(op(e1,e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3447,plain,
    ( spl0_158
  <=> e5 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3052,plain,
    ( spl0_72
  <=> e4 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2558,plain,
    ( e4 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1139]) ).

fof(f1139,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1) ),
    inference(ennf_transformation,[],[f341]) ).

fof(f341,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(e1,e1)
      & e4 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax341) ).

fof(f7216,plain,
    ( ~ spl0_209
    | ~ spl0_140
    | ~ spl0_142
    | ~ spl0_122
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1739,f3711,f3282,f3375,f3367,f3695]) ).

fof(f3711,plain,
    ( spl0_212
  <=> e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f1739,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1289]) ).

fof(f1289,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f199]) ).

fof(f199,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e0 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax199) ).

fof(f7215,plain,
    ~ spl0_815,
    inference(avatar_split_clause,[],[f1714,f7212]) ).

fof(f7212,plain,
    ( spl0_815
  <=> op(e0,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).

fof(f1714,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7210,plain,
    ( ~ spl0_28
    | ~ spl0_247
    | ~ spl0_64
    | ~ spl0_278
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2688,f3025,f4076,f3017,f3891,f2858]) ).

fof(f3017,plain,
    ( spl0_64
  <=> e1 = op(op(e5,e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f4076,plain,
    ( spl0_278
  <=> e0 = op(op(op(e5,e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2688,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1269]) ).

fof(f1269,plain,
    ( e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f517]) ).

fof(f517,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e2 = op(e5,e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax517) ).

fof(f7209,plain,
    ( ~ spl0_71
    | ~ spl0_11
    | ~ spl0_221
    | ~ spl0_158
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2223,f3320,f3447,f3757,f2783,f3048]) ).

fof(f2783,plain,
    ( spl0_11
  <=> e4 = op(op(op(op(e1,e1),e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2223,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1116]) ).

fof(f1116,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ~ ( e5 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f7208,plain,
    ( ~ spl0_19
    | ~ spl0_22
    | ~ spl0_223
    | ~ spl0_117
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1941,f2845,f3257,f3769,f2833,f2818]) ).

fof(f2833,plain,
    ( spl0_22
  <=> e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f3769,plain,
    ( spl0_223
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f1941,plain,
    ( e0 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1338]) ).

fof(f1338,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f192]) ).

fof(f192,axiom,
    ~ ( e3 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e0 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax192) ).

fof(f7207,plain,
    ( ~ spl0_22
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_263
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1814,f2818,f3986,f2837,f2810,f2833]) ).

fof(f1814,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f1320,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f140,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).

fof(f7206,plain,
    ( ~ spl0_29
    | ~ spl0_63
    | ~ spl0_115
    | ~ spl0_171
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2634,f4076,f3510,f3247,f3013,f2862]) ).

fof(f2634,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f985]) ).

fof(f985,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f207]) ).

fof(f207,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax207) ).

fof(f7205,plain,
    ( ~ spl0_22
    | ~ spl0_178
    | ~ spl0_223
    | ~ spl0_263
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1843,f3665,f3986,f3769,f3547,f2833]) ).

fof(f3547,plain,
    ( spl0_178
  <=> e0 = op(op(op(op(e2,e2),e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f3665,plain,
    ( spl0_203
  <=> e5 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f1843,plain,
    ( e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1133]) ).

fof(f1133,plain,
    ( e3 != op(op(e2,e2),e2)
    | e4 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f203]) ).

fof(f203,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax203) ).

fof(f7204,plain,
    spl0_784,
    inference(avatar_split_clause,[],[f2017,f7025]) ).

fof(f7025,plain,
    ( spl0_784
  <=> op(e1,e4) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).

fof(f2017,plain,
    op(e1,e4) = op(e4,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ( op(e1,e5) = op(e5,e1)
    & op(e2,e4) = op(e4,e2)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e0,e0) = op(e0,e0)
    & op(e4,e4) = op(e4,e4)
    & op(e0,e2) = op(e2,e0)
    & op(e1,e5) = op(e5,e1)
    & op(e0,e1) = op(e1,e0)
    & op(e3,e5) = op(e5,e3)
    & op(e2,e5) = op(e5,e2)
    & op(e0,e3) = op(e3,e0)
    & op(e2,e3) = op(e3,e2)
    & op(e4,e5) = op(e5,e4)
    & op(e1,e1) = op(e1,e1)
    & op(e0,e4) = op(e4,e0)
    & op(e2,e5) = op(e5,e2)
    & op(e0,e3) = op(e3,e0)
    & op(e1,e4) = op(e4,e1)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e0,e5) = op(e5,e0)
    & op(e3,e3) = op(e3,e3)
    & op(e3,e5) = op(e5,e3)
    & op(e2,e4) = op(e4,e2)
    & op(e1,e2) = op(e2,e1)
    & op(e5,e5) = op(e5,e5)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e0,e4) = op(e4,e0)
    & op(e4,e5) = op(e5,e4)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e0,e1) = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f7203,plain,
    ( ~ spl0_75
    | ~ spl0_164
    | ~ spl0_107
    | ~ spl0_78
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1959,f3074,f3078,f3211,f3476,f3066]) ).

fof(f3078,plain,
    ( spl0_78
  <=> e4 = op(op(op(op(e0,e0),e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f3074,plain,
    ( spl0_77
  <=> e1 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1959,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f929]) ).

fof(f929,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f310]) ).

fof(f310,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax310) ).

fof(f7202,plain,
    ( ~ spl0_150
    | ~ spl0_29
    | ~ spl0_175
    | ~ spl0_160
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f1954,f3868,f3457,f3532,f2862,f3412]) ).

fof(f3457,plain,
    ( spl0_160
  <=> e4 = op(op(op(op(e5,e5),e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f3868,plain,
    ( spl0_243
  <=> e1 = op(op(op(e5,e5),e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f1954,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1449]) ).

fof(f1449,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ~ ( e2 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f7201,plain,
    ~ spl0_814,
    inference(avatar_split_clause,[],[f1614,f7198]) ).

fof(f7198,plain,
    ( spl0_814
  <=> op(e1,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).

fof(f1614,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f7196,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_130
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2701,f3048,f3320,f2775,f2783,f2787]) ).

fof(f2775,plain,
    ( spl0_9
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2701,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1370]) ).

fof(f1370,plain,
    ( e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f122,axiom,
    ~ ( e5 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).

fof(f7195,plain,
    ( spl0_808
    | spl0_809
    | spl0_810
    | spl0_811
    | spl0_812
    | spl0_813 ),
    inference(avatar_split_clause,[],[f2182,f7192,f7188,f7184,f7180,f7176,f7172]) ).

fof(f7172,plain,
    ( spl0_808
  <=> e0 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).

fof(f7176,plain,
    ( spl0_809
  <=> e4 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).

fof(f7180,plain,
    ( spl0_810
  <=> e5 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).

fof(f7184,plain,
    ( spl0_811
  <=> e1 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).

fof(f7188,plain,
    ( spl0_812
  <=> e2 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).

fof(f7192,plain,
    ( spl0_813
  <=> e3 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).

fof(f2182,plain,
    ( e3 = op(e5,e3)
    | e2 = op(e5,e3)
    | e1 = op(e5,e3)
    | e5 = op(e5,e3)
    | e4 = op(e5,e3)
    | e0 = op(e5,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7170,plain,
    ( ~ spl0_210
    | ~ spl0_212
    | ~ spl0_165
    | ~ spl0_191
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f2618,f3606,f3610,f3481,f3711,f3699]) ).

fof(f3699,plain,
    ( spl0_210
  <=> e0 = op(op(op(op(e4,e4),e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f3481,plain,
    ( spl0_165
  <=> e2 = op(op(e4,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3610,plain,
    ( spl0_191
  <=> e5 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f2618,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f826]) ).

fof(f826,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e5 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f167,axiom,
    ~ ( e3 = op(op(op(e4,e4),e4),e4)
      & e5 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).

fof(f7169,plain,
    ( ~ spl0_205
    | ~ spl0_206
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1917,f3333,f2845,f2806,f3677,f3673]) ).

fof(f2806,plain,
    ( spl0_16
  <=> e1 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f3333,plain,
    ( spl0_133
  <=> e5 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1917,plain,
    ( e5 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f894]) ).

fof(f894,plain,
    ( e0 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f474]) ).

fof(f474,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax474) ).

fof(f7168,plain,
    spl0_807,
    inference(avatar_split_clause,[],[f2393,f7165]) ).

fof(f7165,plain,
    ( spl0_807
  <=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).

fof(f2393,plain,
    op(op(e3,e1),e2) = op(e3,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7163,plain,
    spl0_806,
    inference(avatar_split_clause,[],[f2465,f7160]) ).

fof(f7160,plain,
    ( spl0_806
  <=> op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).

fof(f2465,plain,
    op(op(e0,e0),e0) = op(e0,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7158,plain,
    ~ spl0_805,
    inference(avatar_split_clause,[],[f1726,f7155]) ).

fof(f7155,plain,
    ( spl0_805
  <=> inv(e1) = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).

fof(f1726,plain,
    inv(e1) != inv(e2),
    inference(cnf_transformation,[],[f8]) ).

fof(f7153,plain,
    spl0_804,
    inference(avatar_split_clause,[],[f2503,f7150]) ).

fof(f7150,plain,
    ( spl0_804
  <=> op(op(e0,e2),e1) = op(e0,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).

fof(f2503,plain,
    op(op(e0,e2),e1) = op(e0,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7148,plain,
    ( ~ spl0_30
    | ~ spl0_97
    | ~ spl0_129
    | ~ spl0_171
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f2326,f3895,f3510,f3315,f3163,f2866]) ).

fof(f3315,plain,
    ( spl0_129
  <=> e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2326,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1306]) ).

fof(f1306,plain,
    ( e0 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f457]) ).

fof(f457,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(e5,e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax457) ).

fof(f7147,plain,
    ( ~ spl0_225
    | ~ spl0_183
    | ~ spl0_112
    | ~ spl0_5
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2710,f3122,f2757,f3234,f3571,f3778]) ).

fof(f3234,plain,
    ( spl0_112
  <=> e5 = op(op(op(op(e0,e0),e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2757,plain,
    ( spl0_5
  <=> e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2710,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1044]) ).

fof(f1044,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f458]) ).

fof(f458,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax458) ).

fof(f7146,plain,
    ( ~ spl0_31
    | ~ spl0_129
    | ~ spl0_248
    | ~ spl0_170
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2630,f3510,f3506,f3895,f3315,f2870]) ).

fof(f2630,plain,
    ( e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1314]) ).

fof(f1314,plain,
    ( e1 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f459]) ).

fof(f459,axiom,
    ~ ( e1 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(e5,e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax459) ).

fof(f7145,plain,
    ( ~ spl0_95
    | ~ spl0_243
    | ~ spl0_160
    | ~ spl0_30
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2713,f3239,f2866,f3457,f3868,f3155]) ).

fof(f2713,plain,
    ( e3 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1439]) ).

fof(f1439,plain,
    ( e3 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f307]) ).

fof(f307,axiom,
    ~ ( e3 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax307) ).

fof(f7144,plain,
    spl0_803,
    inference(avatar_split_clause,[],[f1762,f7141]) ).

fof(f7141,plain,
    ( spl0_803
  <=> e0 = op(e0,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).

fof(f1762,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( e2 = op(e2,unit)
    & e1 = op(unit,e1)
    & e2 = op(unit,e2)
    & e0 = op(unit,e0)
    & e3 = op(unit,e3)
    & e1 = op(e1,unit)
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e5 = op(unit,e5)
    & e5 = op(e5,unit)
    & ( e0 = unit
      | e4 = unit
      | e5 = unit
      | e1 = unit
      | e2 = unit
      | e3 = unit )
    & e0 = op(e0,unit) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f7139,plain,
    ( ~ spl0_8
    | ~ spl0_132
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2680,f3052,f3039,f3035,f3328,f2771]) ).

fof(f2771,plain,
    ( spl0_8
  <=> e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3039,plain,
    ( spl0_69
  <=> e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2680,plain,
    ( e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1304]) ).

fof(f1304,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f456]) ).

fof(f456,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e0 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax456) ).

fof(f7138,plain,
    ( ~ spl0_84
    | ~ spl0_162
    | ~ spl0_105
    | ~ spl0_85
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1830,f3225,f3108,f3202,f3467,f3104]) ).

fof(f1830,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1313]) ).

fof(f1313,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f618]) ).

fof(f618,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax618) ).

fof(f7137,plain,
    ( ~ spl0_63
    | ~ spl0_26
    | ~ spl0_129
    | ~ spl0_278
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1997,f3017,f4076,f3315,f2850,f3013]) ).

fof(f2850,plain,
    ( spl0_26
  <=> e4 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1997,plain,
    ( e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1009]) ).

fof(f1009,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f399]) ).

fof(f399,axiom,
    ~ ( e0 = op(op(op(e5,e5),e5),e5)
      & e4 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax399) ).

fof(f7136,plain,
    ( ~ spl0_4
    | ~ spl0_168
    | ~ spl0_90
    | ~ spl0_224
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f1458,f3778,f3774,f3130,f3495,f2753]) ).

fof(f1458,plain,
    ( e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1371]) ).

fof(f1371,plain,
    ( e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f226]) ).

fof(f226,axiom,
    ~ ( e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax226) ).

fof(f7135,plain,
    ( ~ spl0_309
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2057,f2833,f2841,f2818,f2814,f4248]) ).

fof(f2841,plain,
    ( spl0_24
  <=> e4 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2057,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f820]) ).

fof(f820,plain,
    ( e4 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f206]) ).

fof(f206,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2)
      & e0 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax206) ).

fof(f7134,plain,
    ( spl0_311
    | spl0_404
    | spl0_483
    | spl0_802
    | spl0_463
    | spl0_501 ),
    inference(avatar_split_clause,[],[f2301,f5378,f5134,f7131,f5251,f4811,f4270]) ).

fof(f4270,plain,
    ( spl0_311
  <=> e3 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f4811,plain,
    ( spl0_404
  <=> e2 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f5251,plain,
    ( spl0_483
  <=> e4 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f7131,plain,
    ( spl0_802
  <=> e5 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).

fof(f5134,plain,
    ( spl0_463
  <=> e0 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f5378,plain,
    ( spl0_501
  <=> e1 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f2301,plain,
    ( e1 = inv(e5)
    | e0 = inv(e5)
    | e5 = inv(e5)
    | e4 = inv(e5)
    | e2 = inv(e5)
    | e3 = inv(e5) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f7129,plain,
    ( ~ spl0_141
    | ~ spl0_51
    | ~ spl0_213
    | ~ spl0_122
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2127,f3278,f3282,f3715,f2956,f3371]) ).

fof(f2956,plain,
    ( spl0_51
  <=> e1 = op(op(e4,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2127,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1261]) ).

fof(f1261,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f402]) ).

fof(f402,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e0 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax402) ).

fof(f7128,plain,
    ~ spl0_801,
    inference(avatar_split_clause,[],[f1635,f7125]) ).

fof(f7125,plain,
    ( spl0_801
  <=> op(e3,e1) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).

fof(f1635,plain,
    op(e3,e1) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7123,plain,
    ( ~ spl0_151
    | ~ spl0_5
    | ~ spl0_224
    | ~ spl0_183
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1899,f3134,f3571,f3774,f2757,f3417]) ).

fof(f1899,plain,
    ( e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1187]) ).

fof(f1187,plain,
    ( e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f488]) ).

fof(f488,axiom,
    ~ ( e5 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e1
      & e4 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax488) ).

fof(f7122,plain,
    ( ~ spl0_30
    | ~ spl0_97
    | ~ spl0_113
    | ~ spl0_95
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2148,f3243,f3155,f3239,f3163,f2866]) ).

fof(f2148,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5) ),
    inference(cnf_transformation,[],[f756]) ).

fof(f756,plain,
    ( e0 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f313]) ).

fof(f313,axiom,
    ~ ( e3 = op(op(e5,e5),e5)
      & e0 = op(e5,e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax313) ).

fof(f7121,plain,
    ~ spl0_800,
    inference(avatar_split_clause,[],[f1498,f7118]) ).

fof(f7118,plain,
    ( spl0_800
  <=> e4 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).

fof(f1498,plain,
    e4 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f7116,plain,
    ( ~ spl0_131
    | ~ spl0_11
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2240,f2947,f2787,f2779,f2783,f3324]) ).

fof(f2947,plain,
    ( spl0_49
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2240,plain,
    ( e3 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f744]) ).

fof(f744,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f350]) ).

fof(f350,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax350) ).

fof(f7115,plain,
    spl0_799,
    inference(avatar_split_clause,[],[f2353,f7112]) ).

fof(f7112,plain,
    ( spl0_799
  <=> op(op(e5,e4),e3) = op(e5,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).

fof(f2353,plain,
    op(op(e5,e4),e3) = op(e5,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7110,plain,
    ( ~ spl0_190
    | ~ spl0_189
    | ~ spl0_212
    | ~ spl0_191
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1774,f3375,f3610,f3711,f3602,f3606]) ).

fof(f3602,plain,
    ( spl0_189
  <=> e0 = op(op(e4,e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1774,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1055]) ).

fof(f1055,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f143,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(e4,e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).

fof(f7109,plain,
    ~ spl0_798,
    inference(avatar_split_clause,[],[f1607,f7106]) ).

fof(f7106,plain,
    ( spl0_798
  <=> op(e2,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).

fof(f1607,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7104,plain,
    ( ~ spl0_48
    | ~ spl0_70
    | ~ spl0_131
    | ~ spl0_73
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1805,f2939,f3056,f3324,f3043,f2943]) ).

fof(f2943,plain,
    ( spl0_48
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1805,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1401]) ).

fof(f1401,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e4 != op(e1,e1) ),
    inference(ennf_transformation,[],[f274]) ).

fof(f274,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(e1,e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax274) ).

fof(f7103,plain,
    ( ~ spl0_8
    | ~ spl0_70
    | ~ spl0_221
    | ~ spl0_10
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2234,f3039,f2779,f3757,f3043,f2771]) ).

fof(f2234,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f887]) ).

fof(f887,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f422]) ).

fof(f422,axiom,
    ~ ( e0 = op(op(op(e1,e1),e1),e1)
      & e4 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax422) ).

fof(f7102,plain,
    ~ spl0_797,
    inference(avatar_split_clause,[],[f1539,f7099]) ).

fof(f7099,plain,
    ( spl0_797
  <=> op(e3,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).

fof(f1539,plain,
    op(e3,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7097,plain,
    ~ spl0_796,
    inference(avatar_split_clause,[],[f1540,f7094]) ).

fof(f7094,plain,
    ( spl0_796
  <=> op(e2,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).

fof(f1540,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7092,plain,
    ( ~ spl0_32
    | ~ spl0_35
    | ~ spl0_85
    | ~ spl0_83
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2218,f2879,f3100,f3108,f2887,f2875]) ).

fof(f2218,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1288]) ).

fof(f1288,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f345]) ).

fof(f345,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax345) ).

fof(f7091,plain,
    ( ~ spl0_50
    | ~ spl0_144
    | ~ spl0_209
    | ~ spl0_140
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1788,f3485,f3367,f3695,f3384,f2952]) ).

fof(f2952,plain,
    ( spl0_50
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1788,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1174]) ).

fof(f1174,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e2 = op(e4,e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f7090,plain,
    ( ~ spl0_220
    | ~ spl0_131
    | ~ spl0_73
    | ~ spl0_48
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2598,f3447,f2943,f3056,f3324,f3753]) ).

fof(f2598,plain,
    ( e5 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1347]) ).

fof(f1347,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f268]) ).

fof(f268,axiom,
    ~ ( e5 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax268) ).

fof(f7089,plain,
    ( ~ spl0_95
    | ~ spl0_170
    | ~ spl0_171
    | ~ spl0_243
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1824,f2862,f3868,f3510,f3506,f3155]) ).

fof(f1824,plain,
    ( e3 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1229]) ).

fof(f1229,plain,
    ( e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f333]) ).

fof(f333,axiom,
    ~ ( e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(e5,e5),e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e3 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax333) ).

fof(f7088,plain,
    spl0_660,
    inference(avatar_split_clause,[],[f2000,f6330]) ).

fof(f6330,plain,
    ( spl0_660
  <=> op(e0,e1) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f2000,plain,
    op(e0,e1) = op(e1,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f7087,plain,
    ( ~ spl0_25
    | ~ spl0_179
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2175,f3087,f2841,f2806,f3551,f2845]) ).

fof(f2175,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1023]) ).

fof(f1023,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f714]) ).

fof(f714,axiom,
    ~ ( e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2)
      & e4 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax714) ).

fof(f7086,plain,
    ( ~ spl0_124
    | ~ spl0_188
    | ~ spl0_227
    | ~ spl0_82
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1935,f3471,f3096,f3789,f3597,f3291]) ).

fof(f1935,plain,
    ( e4 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1064]) ).

fof(f1064,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f158]) ).

fof(f158,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(e3,e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).

fof(f7085,plain,
    spl0_795,
    inference(avatar_split_clause,[],[f2526,f7082]) ).

fof(f7082,plain,
    ( spl0_795
  <=> op(op(e2,e1),e0) = op(e2,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).

fof(f2526,plain,
    op(op(e2,e1),e0) = op(e2,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7080,plain,
    spl0_794,
    inference(avatar_split_clause,[],[f2332,f7077]) ).

fof(f7077,plain,
    ( spl0_794
  <=> op(op(e3,e4),e5) = op(e3,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).

fof(f2332,plain,
    op(op(e3,e4),e5) = op(e3,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7075,plain,
    ( spl0_788
    | spl0_789
    | spl0_790
    | spl0_791
    | spl0_792
    | spl0_793 ),
    inference(avatar_split_clause,[],[f2183,f7072,f7068,f7064,f7060,f7056,f7052]) ).

fof(f7052,plain,
    ( spl0_788
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).

fof(f7056,plain,
    ( spl0_789
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).

fof(f7060,plain,
    ( spl0_790
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).

fof(f7064,plain,
    ( spl0_791
  <=> e5 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).

fof(f7068,plain,
    ( spl0_792
  <=> e4 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).

fof(f7072,plain,
    ( spl0_793
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).

fof(f2183,plain,
    ( e3 = op(e2,e4)
    | e4 = op(e2,e4)
    | e5 = op(e2,e4)
    | e2 = op(e2,e4)
    | e1 = op(e2,e4)
    | e0 = op(e2,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7050,plain,
    ~ spl0_787,
    inference(avatar_split_clause,[],[f1736,f7047]) ).

fof(f7047,plain,
    ( spl0_787
  <=> inv(e3) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).

fof(f1736,plain,
    inv(e3) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f7045,plain,
    ( ~ spl0_225
    | ~ spl0_112
    | ~ spl0_107
    | ~ spl0_183
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2629,f3196,f3571,f3211,f3234,f3778]) ).

fof(f3196,plain,
    ( spl0_104
  <=> e3 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2629,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1218]) ).

fof(f1218,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f338]) ).

fof(f338,axiom,
    ~ ( e3 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e1
      & e4 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax338) ).

fof(f7044,plain,
    ( ~ spl0_50
    | ~ spl0_140
    | ~ spl0_212
    | ~ spl0_210
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f2664,f3695,f3699,f3711,f3367,f2952]) ).

fof(f2664,plain,
    ( e3 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f749]) ).

fof(f749,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f201]) ).

fof(f201,axiom,
    ~ ( e3 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax201) ).

fof(f7043,plain,
    ( ~ spl0_63
    | ~ spl0_150
    | ~ spl0_31
    | ~ spl0_171
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2637,f3021,f3510,f2870,f3412,f3013]) ).

fof(f2637,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1161]) ).

fof(f1161,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ~ ( e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).

fof(f7042,plain,
    ~ spl0_786,
    inference(avatar_split_clause,[],[f1673,f7039]) ).

fof(f7039,plain,
    ( spl0_786
  <=> op(e2,e3) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).

fof(f1673,plain,
    op(e2,e3) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7037,plain,
    ~ spl0_785,
    inference(avatar_split_clause,[],[f1666,f7034]) ).

fof(f7034,plain,
    ( spl0_785
  <=> op(e0,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).

fof(f1666,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7032,plain,
    ( ~ spl0_164
    | ~ spl0_103
    | ~ spl0_5
    | ~ spl0_78
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1506,f3122,f3078,f2757,f3192,f3476]) ).

fof(f3192,plain,
    ( spl0_103
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1506,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e5 ),
    inference(cnf_transformation,[],[f755]) ).

fof(f755,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e1 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f406]) ).

fof(f406,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax406) ).

fof(f7031,plain,
    ( ~ spl0_263
    | ~ spl0_135
    | ~ spl0_19
    | ~ spl0_204
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f2642,f2837,f3669,f2818,f3341,f3986]) ).

fof(f3341,plain,
    ( spl0_135
  <=> e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2642,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1195]) ).

fof(f1195,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e4 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f7030,plain,
    ( ~ spl0_15
    | ~ spl0_178
    | ~ spl0_81
    | ~ spl0_223
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2609,f2806,f3769,f3091,f3547,f2802]) ).

fof(f2609,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f797]) ).

fof(f797,plain,
    ( e3 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f575]) ).

fof(f575,axiom,
    ~ ( e5 = op(e2,e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax575) ).

fof(f7029,plain,
    ( ~ spl0_213
    | ~ spl0_141
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2112,f2956,f2968,f2952,f3371,f3715]) ).

fof(f2112,plain,
    ( e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f822]) ).

fof(f822,plain,
    ( e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f396]) ).

fof(f396,axiom,
    ~ ( e1 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(op(e4,e4),e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax396) ).

fof(f7028,plain,
    spl0_784,
    inference(avatar_split_clause,[],[f2002,f7025]) ).

fof(f2002,plain,
    op(e1,e4) = op(e4,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f7023,plain,
    ( ~ spl0_209
    | ~ spl0_142
    | ~ spl0_166
    | ~ spl0_180
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1915,f3367,f3556,f3485,f3375,f3695]) ).

fof(f1915,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f789]) ).

fof(f789,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(f7022,plain,
    spl0_783,
    inference(avatar_split_clause,[],[f2534,f7019]) ).

fof(f7019,plain,
    ( spl0_783
  <=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).

fof(f2534,plain,
    op(op(e1,e3),e2) = op(e1,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7017,plain,
    spl0_782,
    inference(avatar_split_clause,[],[f2352,f7014]) ).

fof(f7014,plain,
    ( spl0_782
  <=> op(op(e3,e4),e1) = op(e3,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).

fof(f2352,plain,
    op(op(e3,e4),e1) = op(e3,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7012,plain,
    ( ~ spl0_45
    | ~ spl0_9
    | ~ spl0_48
    | ~ spl0_73
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2249,f2939,f3056,f2943,f2775,f2931]) ).

fof(f2249,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f890]) ).

fof(f890,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f512]) ).

fof(f512,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax512) ).

fof(f7011,plain,
    ( ~ spl0_84
    | ~ spl0_36
    | ~ spl0_86
    | ~ spl0_169
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2290,f3463,f3500,f3112,f2891,f3104]) ).

fof(f3112,plain,
    ( spl0_86
  <=> e4 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3463,plain,
    ( spl0_161
  <=> e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2290,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1114]) ).

fof(f1114,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f655]) ).

fof(f655,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax655) ).

fof(f7010,plain,
    ( ~ spl0_11
    | ~ spl0_132
    | ~ spl0_130
    | ~ spl0_101
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f2636,f3757,f3183,f3320,f3328,f2783]) ).

fof(f2636,plain,
    ( e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f892]) ).

fof(f892,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f672]) ).

fof(f672,axiom,
    ~ ( e0 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax672) ).

fof(f7009,plain,
    ( ~ spl0_134
    | ~ spl0_25
    | ~ spl0_117
    | ~ spl0_133
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f2591,f3677,f3333,f3257,f2845,f3337]) ).

fof(f2591,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f872]) ).

fof(f872,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f487]) ).

fof(f487,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(e2,e2),e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax487) ).

fof(f7008,plain,
    ~ spl0_781,
    inference(avatar_split_clause,[],[f1701,f7005]) ).

fof(f7005,plain,
    ( spl0_781
  <=> op(e5,e0) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).

fof(f1701,plain,
    op(e5,e0) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7003,plain,
    spl0_780,
    inference(avatar_split_clause,[],[f2504,f7000]) ).

fof(f7000,plain,
    ( spl0_780
  <=> op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).

fof(f2504,plain,
    op(op(e3,e0),e0) = op(e3,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6998,plain,
    spl0_779,
    inference(avatar_split_clause,[],[f2459,f6995]) ).

fof(f6995,plain,
    ( spl0_779
  <=> op(op(e0,e3),e2) = op(e0,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).

fof(f2459,plain,
    op(op(e0,e3),e2) = op(e0,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6993,plain,
    ( ~ spl0_140
    | ~ spl0_122
    | ~ spl0_143
    | ~ spl0_53
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2612,f2956,f2964,f3380,f3282,f3367]) ).

fof(f2964,plain,
    ( spl0_53
  <=> e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2612,plain,
    ( e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1358]) ).

fof(f1358,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f295]) ).

fof(f295,axiom,
    ~ ( e1 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e0 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax295) ).

fof(f6992,plain,
    spl0_778,
    inference(avatar_split_clause,[],[f2513,f6989]) ).

fof(f6989,plain,
    ( spl0_778
  <=> op(op(e4,e4),e2) = op(e4,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).

fof(f2513,plain,
    op(op(e4,e4),e2) = op(e4,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6987,plain,
    ( ~ spl0_240
    | spl0_229 ),
    inference(avatar_split_clause,[],[f2089,f3800,f3853]) ).

fof(f3853,plain,
    ( spl0_240
  <=> e0 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f3800,plain,
    ( spl0_229
  <=> e2 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f2089,plain,
    ( e2 = inv(e0)
    | e0 != inv(e2) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f1359,plain,
    ( ( e2 != inv(e5)
      | e5 = inv(e2) )
    & ( e5 != inv(e4)
      | e4 = inv(e5) )
    & ( e1 != inv(e0)
      | e0 = inv(e1) )
    & ( e1 != inv(e5)
      | e5 = inv(e1) )
    & ( e4 = inv(e0)
      | e0 != inv(e4) )
    & ( e0 = inv(e3)
      | e3 != inv(e0) )
    & ( e2 != inv(e1)
      | e1 = inv(e2) )
    & ( e4 != inv(e4)
      | e4 = inv(e4) )
    & ( e4 != inv(e2)
      | e2 = inv(e4) )
    & ( e0 = inv(e2)
      | e2 != inv(e0) )
    & ( e3 != inv(e5)
      | e5 = inv(e3) )
    & ( e0 = inv(e4)
      | e4 != inv(e0) )
    & ( e1 = inv(e1)
      | e1 != inv(e1) )
    & ( e4 != inv(e5)
      | e5 = inv(e4) )
    & ( e2 = inv(e1)
      | e1 != inv(e2) )
    & ( e1 = inv(e0)
      | e0 != inv(e1) )
    & ( e5 != inv(e2)
      | e2 = inv(e5) )
    & ( e0 = inv(e0)
      | e0 != inv(e0) )
    & ( e1 = inv(e5)
      | e5 != inv(e1) )
    & ( e3 = inv(e5)
      | e5 != inv(e3) )
    & ( e2 = inv(e2)
      | e2 != inv(e2) )
    & ( e5 != inv(e0)
      | e0 = inv(e5) )
    & ( e3 = inv(e3)
      | e3 != inv(e3) )
    & ( e1 = inv(e4)
      | e4 != inv(e1) )
    & ( e3 != inv(e2)
      | e2 = inv(e3) )
    & ( e2 != inv(e3)
      | e3 = inv(e2) )
    & ( e2 = inv(e0)
      | e0 != inv(e2) )
    & ( e5 = inv(e0)
      | e0 != inv(e5) )
    & ( e4 != inv(e3)
      | e3 = inv(e4) )
    & ( e3 != inv(e1)
      | e1 = inv(e3) )
    & ( e5 = inv(e5)
      | e5 != inv(e5) )
    & ( e4 = inv(e1)
      | e1 != inv(e4) )
    & ( e3 != inv(e4)
      | e4 = inv(e3) )
    & ( e0 != inv(e3)
      | e3 = inv(e0) )
    & ( e2 != inv(e4)
      | e4 = inv(e2) )
    & ( e1 != inv(e3)
      | e3 = inv(e1) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ( ( e0 = inv(e5)
     => e5 = inv(e0) )
    & ( e1 = inv(e5)
     => e5 = inv(e1) )
    & ( e1 = inv(e3)
     => e3 = inv(e1) )
    & ( e3 = inv(e4)
     => e4 = inv(e3) )
    & ( e2 = inv(e3)
     => e3 = inv(e2) )
    & ( e5 = inv(e0)
     => e0 = inv(e5) )
    & ( e5 = inv(e1)
     => e1 = inv(e5) )
    & ( e2 = inv(e5)
     => e5 = inv(e2) )
    & ( e3 = inv(e0)
     => e0 = inv(e3) )
    & ( e0 = inv(e3)
     => e3 = inv(e0) )
    & ( e0 = inv(e0)
     => e0 = inv(e0) )
    & ( e3 = inv(e2)
     => e2 = inv(e3) )
    & ( e3 = inv(e1)
     => e1 = inv(e3) )
    & ( e0 = inv(e2)
     => e2 = inv(e0) )
    & ( e2 = inv(e4)
     => e4 = inv(e2) )
    & ( e5 = inv(e2)
     => e2 = inv(e5) )
    & ( e4 = inv(e3)
     => e3 = inv(e4) )
    & ( e4 = inv(e5)
     => e5 = inv(e4) )
    & ( e1 = inv(e0)
     => e0 = inv(e1) )
    & ( e5 = inv(e3)
     => e3 = inv(e5) )
    & ( e1 = inv(e1)
     => e1 = inv(e1) )
    & ( e5 = inv(e4)
     => e4 = inv(e5) )
    & ( e1 = inv(e2)
     => e2 = inv(e1) )
    & ( e2 = inv(e2)
     => e2 = inv(e2) )
    & ( e2 = inv(e0)
     => e0 = inv(e2) )
    & ( e5 = inv(e5)
     => e5 = inv(e5) )
    & ( e4 = inv(e1)
     => e1 = inv(e4) )
    & ( e3 = inv(e5)
     => e5 = inv(e3) )
    & ( e2 = inv(e1)
     => e1 = inv(e2) )
    & ( e0 = inv(e1)
     => e1 = inv(e0) )
    & ( e4 = inv(e2)
     => e2 = inv(e4) )
    & ( e0 = inv(e4)
     => e4 = inv(e0) )
    & ( e4 = inv(e0)
     => e0 = inv(e4) )
    & ( e4 = inv(e4)
     => e4 = inv(e4) )
    & ( e1 = inv(e4)
     => e4 = inv(e1) )
    & ( e3 = inv(e3)
     => e3 = inv(e3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f6986,plain,
    spl0_777,
    inference(avatar_split_clause,[],[f2486,f6983]) ).

fof(f6983,plain,
    ( spl0_777
  <=> op(op(e2,e1),e4) = op(e2,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).

fof(f2486,plain,
    op(op(e2,e1),e4) = op(e2,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6981,plain,
    ( ~ spl0_12
    | ~ spl0_10
    | ~ spl0_70
    | ~ spl0_73
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1748,f3324,f3056,f3043,f2779,f2787]) ).

fof(f1748,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f864]) ).

fof(f864,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f352]) ).

fof(f352,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(e1,e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax352) ).

fof(f6980,plain,
    spl0_776,
    inference(avatar_split_clause,[],[f2383,f6977]) ).

fof(f6977,plain,
    ( spl0_776
  <=> op(op(e5,e2),e1) = op(e5,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).

fof(f2383,plain,
    op(op(e5,e2),e1) = op(e5,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6975,plain,
    ~ spl0_775,
    inference(avatar_split_clause,[],[f1490,f6972]) ).

fof(f6972,plain,
    ( spl0_775
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).

fof(f1490,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f10]) ).

fof(f6970,plain,
    ( ~ spl0_110
    | ~ spl0_99
    | ~ spl0_34
    | ~ spl0_163
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1760,f3229,f3471,f2883,f3173,f3225]) ).

fof(f1760,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1090]) ).

fof(f1090,plain,
    ( e4 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e4 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).

fof(f6969,plain,
    ( spl0_769
    | spl0_770
    | spl0_771
    | spl0_772
    | spl0_773
    | spl0_774 ),
    inference(avatar_split_clause,[],[f2193,f6966,f6962,f6958,f6954,f6950,f6946]) ).

fof(f6946,plain,
    ( spl0_769
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).

fof(f6950,plain,
    ( spl0_770
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).

fof(f6954,plain,
    ( spl0_771
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).

fof(f6958,plain,
    ( spl0_772
  <=> e5 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).

fof(f6962,plain,
    ( spl0_773
  <=> e4 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).

fof(f6966,plain,
    ( spl0_774
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).

fof(f2193,plain,
    ( e2 = op(e0,e1)
    | e4 = op(e0,e1)
    | e5 = op(e0,e1)
    | e0 = op(e0,e1)
    | e3 = op(e0,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6944,plain,
    ( ~ spl0_95
    | ~ spl0_31
    | ~ spl0_171
    | ~ spl0_278
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f1749,f3891,f4076,f3510,f2870,f3155]) ).

fof(f1749,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1121]) ).

fof(f1121,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f325]) ).

fof(f325,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(e5,e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e1 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax325) ).

fof(f6943,plain,
    ~ spl0_768,
    inference(avatar_split_clause,[],[f1709,f6940]) ).

fof(f6940,plain,
    ( spl0_768
  <=> op(e1,e2) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).

fof(f1709,plain,
    op(e1,e2) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6938,plain,
    ( spl0_579
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f2078,f3808,f5811]) ).

fof(f5811,plain,
    ( spl0_579
  <=> e0 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f3808,plain,
    ( spl0_231
  <=> e4 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f2078,plain,
    ( e4 != inv(e0)
    | e0 = inv(e4) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6937,plain,
    spl0_767,
    inference(avatar_split_clause,[],[f2449,f6934]) ).

fof(f6934,plain,
    ( spl0_767
  <=> op(op(e2,e0),e1) = op(e2,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).

fof(f2449,plain,
    op(op(e2,e0),e1) = op(e2,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6932,plain,
    spl0_766,
    inference(avatar_split_clause,[],[f2328,f6929]) ).

fof(f6929,plain,
    ( spl0_766
  <=> op(op(e2,e5),e0) = op(e2,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).

fof(f2328,plain,
    op(op(e2,e5),e0) = op(e2,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6927,plain,
    ( ~ spl0_81
    | ~ spl0_205
    | ~ spl0_16
    | ~ spl0_206
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1936,f2810,f3677,f2806,f3673,f3091]) ).

fof(f1936,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f970]) ).

fof(f970,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f376]) ).

fof(f376,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e5 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax376) ).

fof(f6926,plain,
    spl0_765,
    inference(avatar_split_clause,[],[f2517,f6923]) ).

fof(f6923,plain,
    ( spl0_765
  <=> op(op(e2,e0),e5) = op(e2,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).

fof(f2517,plain,
    op(op(e2,e0),e5) = op(e2,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6921,plain,
    spl0_525,
    inference(avatar_split_clause,[],[f2028,f5516]) ).

fof(f5516,plain,
    ( spl0_525
  <=> op(e1,e5) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f2028,plain,
    op(e1,e5) = op(e5,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f6920,plain,
    spl0_764,
    inference(avatar_split_clause,[],[f2470,f6917]) ).

fof(f6917,plain,
    ( spl0_764
  <=> op(op(e3,e5),e1) = op(e3,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).

fof(f2470,plain,
    op(op(e3,e5),e1) = op(e3,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6915,plain,
    ~ spl0_763,
    inference(avatar_split_clause,[],[f1699,f6912]) ).

fof(f6912,plain,
    ( spl0_763
  <=> op(e4,e2) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).

fof(f1699,plain,
    op(e4,e2) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6910,plain,
    spl0_762,
    inference(avatar_split_clause,[],[f2403,f6907]) ).

fof(f6907,plain,
    ( spl0_762
  <=> op(op(e0,e5),e3) = op(e0,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).

fof(f2403,plain,
    op(op(e0,e5),e3) = op(e0,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6905,plain,
    ( ~ spl0_184
    | ~ spl0_76
    | ~ spl0_103
    | ~ spl0_89
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1751,f2753,f3126,f3192,f3070,f3575]) ).

fof(f3070,plain,
    ( spl0_76
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1751,plain,
    ( e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f813]) ).

fof(f813,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f536]) ).

fof(f536,axiom,
    ~ ( e5 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e2
      & e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax536) ).

fof(f6904,plain,
    ( ~ spl0_99
    | ~ spl0_111
    | ~ spl0_86
    | ~ spl0_34
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1976,f3287,f2883,f3112,f3229,f3173]) ).

fof(f1976,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1081]) ).

fof(f1081,plain,
    ( e2 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f129,axiom,
    ~ ( e2 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).

fof(f6903,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_227
    | ~ spl0_110
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1832,f3597,f3225,f3789,f2891,f2887]) ).

fof(f1832,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f1399,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f210]) ).

fof(f210,axiom,
    ~ ( e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax210) ).

fof(f6902,plain,
    ~ spl0_761,
    inference(avatar_split_clause,[],[f1629,f6899]) ).

fof(f6899,plain,
    ( spl0_761
  <=> op(e5,e1) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).

fof(f1629,plain,
    op(e5,e1) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6897,plain,
    ( ~ spl0_258
    | ~ spl0_166
    | ~ spl0_213
    | ~ spl0_50
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1991,f3695,f2952,f3715,f3485,f3956]) ).

fof(f3956,plain,
    ( spl0_258
  <=> e1 = op(op(op(e4,e4),e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f1991,plain,
    ( e3 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1451]) ).

fof(f1451,plain,
    ( e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e2 = op(e4,e4)
      & e3 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f6896,plain,
    ( ~ spl0_24
    | ~ spl0_19
    | ~ spl0_135
    | ~ spl0_177
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f2606,f2837,f3543,f3341,f2818,f2841]) ).

fof(f3543,plain,
    ( spl0_177
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f2606,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1020]) ).

fof(f1020,plain,
    ( e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e4 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).

fof(f6895,plain,
    ( ~ spl0_278
    | ~ spl0_95
    | ~ spl0_64
    | ~ spl0_160
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1964,f2862,f3457,f3017,f3155,f4076]) ).

fof(f1964,plain,
    ( e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1299]) ).

fof(f1299,plain,
    ( e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f277]) ).

fof(f277,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax277) ).

fof(f6894,plain,
    spl0_760,
    inference(avatar_split_clause,[],[f2463,f6891]) ).

fof(f6891,plain,
    ( spl0_760
  <=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).

fof(f2463,plain,
    op(op(e2,e3),e1) = op(e2,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6889,plain,
    ( ~ spl0_258
    | ~ spl0_191
    | ~ spl0_142
    | ~ spl0_209
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1513,f3485,f3695,f3375,f3610,f3956]) ).

fof(f1513,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1331]) ).

fof(f1331,plain,
    ( e5 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ~ ( e1 = op(op(op(e4,e4),e4),e4)
      & e5 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f6888,plain,
    spl0_759,
    inference(avatar_split_clause,[],[f2364,f6885]) ).

fof(f6885,plain,
    ( spl0_759
  <=> op(op(e0,e1),e2) = op(e0,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).

fof(f2364,plain,
    op(op(e0,e1),e2) = op(e0,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6883,plain,
    ( ~ spl0_54
    | ~ spl0_51
    | ~ spl0_191
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2284,f3375,f3371,f3610,f2956,f2968]) ).

fof(f2284,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f1315,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f401]) ).

fof(f401,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e5 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax401) ).

fof(f6882,plain,
    ( ~ spl0_135
    | ~ spl0_203
    | ~ spl0_134
    | ~ spl0_223
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f2262,f3986,f3769,f3337,f3665,f3341]) ).

fof(f2262,plain,
    ( e4 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1111]) ).

fof(f1111,plain,
    ( e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f6881,plain,
    ( ~ spl0_19
    | ~ spl0_263
    | ~ spl0_16
    | ~ spl0_206
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2683,f2810,f3677,f2806,f3986,f2818]) ).

fof(f2683,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f886]) ).

fof(f886,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f374]) ).

fof(f374,axiom,
    ~ ( e4 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax374) ).

fof(f6880,plain,
    spl0_758,
    inference(avatar_split_clause,[],[f2410,f6877]) ).

fof(f6877,plain,
    ( spl0_758
  <=> op(op(e1,e4),e1) = op(e1,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).

fof(f2410,plain,
    op(op(e1,e4),e1) = op(e1,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6875,plain,
    ( ~ spl0_204
    | ~ spl0_263
    | ~ spl0_179
    | ~ spl0_23
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1861,f3547,f2837,f3551,f3986,f3669]) ).

fof(f1861,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1432]) ).

fof(f1432,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f653]) ).

fof(f653,axiom,
    ~ ( e1 = op(op(e2,e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax653) ).

fof(f6874,plain,
    ( ~ spl0_96
    | ~ spl0_63
    | ~ spl0_114
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2553,f3315,f2870,f3243,f3013,f3159]) ).

fof(f2553,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f959]) ).

fof(f959,plain,
    ( e1 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f385]) ).

fof(f385,axiom,
    ~ ( e0 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax385) ).

fof(f6873,plain,
    spl0_757,
    inference(avatar_split_clause,[],[f2398,f6870]) ).

fof(f6870,plain,
    ( spl0_757
  <=> op(op(e1,e5),e2) = op(e1,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).

fof(f2398,plain,
    op(op(e1,e5),e2) = op(e1,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6868,plain,
    ( spl0_383
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f2075,f3857,f4685]) ).

fof(f4685,plain,
    ( spl0_383
  <=> e2 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f3857,plain,
    ( spl0_241
  <=> e4 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f2075,plain,
    ( e4 != inv(e2)
    | e2 = inv(e4) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6867,plain,
    spl0_756,
    inference(avatar_split_clause,[],[f2507,f6864]) ).

fof(f6864,plain,
    ( spl0_756
  <=> op(op(e1,e0),e3) = op(e1,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).

fof(f2507,plain,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6862,plain,
    ( spl0_383
    | spl0_579
    | spl0_755
    | spl0_484
    | spl0_588
    | spl0_181 ),
    inference(avatar_split_clause,[],[f2303,f3562,f5875,f5255,f6859,f5811,f4685]) ).

fof(f6859,plain,
    ( spl0_755
  <=> e4 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).

fof(f5255,plain,
    ( spl0_484
  <=> e5 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f5875,plain,
    ( spl0_588
  <=> e3 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f3562,plain,
    ( spl0_181
  <=> e1 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f2303,plain,
    ( e1 = inv(e4)
    | e3 = inv(e4)
    | e5 = inv(e4)
    | e4 = inv(e4)
    | e0 = inv(e4)
    | e2 = inv(e4) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f6857,plain,
    spl0_754,
    inference(avatar_split_clause,[],[f2538,f6854]) ).

fof(f6854,plain,
    ( spl0_754
  <=> op(op(e4,e2),e3) = op(e4,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).

fof(f2538,plain,
    op(op(e4,e2),e3) = op(e4,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6852,plain,
    ( ~ spl0_243
    | ~ spl0_171
    | ~ spl0_247
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2252,f3412,f2858,f3891,f3510,f3868]) ).

fof(f2252,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1277]) ).

fof(f1277,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f6851,plain,
    spl0_753,
    inference(avatar_split_clause,[],[f2473,f6848]) ).

fof(f6848,plain,
    ( spl0_753
  <=> op(op(e0,e3),e0) = op(e0,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).

fof(f2473,plain,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6846,plain,
    ( ~ spl0_104
    | ~ spl0_168
    | ~ spl0_164
    | ~ spl0_78
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1828,f2749,f3078,f3476,f3495,f3196]) ).

fof(f1828,plain,
    ( e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f733]) ).

fof(f733,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e5
    | e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f166]) ).

fof(f166,axiom,
    ~ ( e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e5
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).

fof(f6845,plain,
    ( ~ spl0_122
    | ~ spl0_165
    | ~ spl0_141
    | ~ spl0_258
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1759,f3715,f3956,f3371,f3481,f3282]) ).

fof(f1759,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1236]) ).

fof(f1236,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f426]) ).

fof(f426,axiom,
    ~ ( e0 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax426) ).

fof(f6844,plain,
    spl0_752,
    inference(avatar_split_clause,[],[f2314,f6841]) ).

fof(f6841,plain,
    ( spl0_752
  <=> unit = op(e2,inv(e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).

fof(f2314,plain,
    unit = op(e2,inv(e2)),
    inference(cnf_transformation,[],[f4]) ).

fof(f6839,plain,
    ( ~ spl0_105
    | ~ spl0_36
    | ~ spl0_169
    | ~ spl0_110
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1928,f3104,f3225,f3500,f2891,f3202]) ).

fof(f1928,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1242]) ).

fof(f1242,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f642]) ).

fof(f642,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax642) ).

fof(f6838,plain,
    spl0_751,
    inference(avatar_split_clause,[],[f2356,f6835]) ).

fof(f6835,plain,
    ( spl0_751
  <=> op(op(e0,e3),e5) = op(e0,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).

fof(f2356,plain,
    op(op(e0,e3),e5) = op(e0,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6833,plain,
    spl0_750,
    inference(avatar_split_clause,[],[f2511,f6830]) ).

fof(f6830,plain,
    ( spl0_750
  <=> op(op(e0,e0),e4) = op(e0,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).

fof(f2511,plain,
    op(op(e0,e0),e4) = op(e0,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6828,plain,
    ( ~ spl0_109
    | ~ spl0_169
    | ~ spl0_111
    | ~ spl0_110
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1508,f3202,f3225,f3229,f3500,f3221]) ).

fof(f1508,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(e3,e3),e3)
    | e5 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f1259,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e5 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f6827,plain,
    ( ~ spl0_70
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_130
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1938,f3183,f3320,f2935,f2943,f3043]) ).

fof(f1938,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f994]) ).

fof(f994,plain,
    ( e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f628]) ).

fof(f628,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(e1,e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax628) ).

fof(f6826,plain,
    ( spl0_744
    | spl0_745
    | spl0_746
    | spl0_747
    | spl0_748
    | spl0_749 ),
    inference(avatar_split_clause,[],[f2192,f6823,f6819,f6815,f6811,f6807,f6803]) ).

fof(f6803,plain,
    ( spl0_744
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).

fof(f6807,plain,
    ( spl0_745
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).

fof(f6811,plain,
    ( spl0_746
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).

fof(f6815,plain,
    ( spl0_747
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).

fof(f6819,plain,
    ( spl0_748
  <=> e5 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).

fof(f6823,plain,
    ( spl0_749
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).

fof(f2192,plain,
    ( e2 = op(e1,e2)
    | e5 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | e3 = op(e1,e2)
    | e4 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6801,plain,
    spl0_743,
    inference(avatar_split_clause,[],[f2401,f6798]) ).

fof(f6798,plain,
    ( spl0_743
  <=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).

fof(f2401,plain,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6796,plain,
    ~ spl0_742,
    inference(avatar_split_clause,[],[f1733,f6793]) ).

fof(f6793,plain,
    ( spl0_742
  <=> inv(e1) = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).

fof(f1733,plain,
    inv(e1) != inv(e3),
    inference(cnf_transformation,[],[f8]) ).

fof(f6791,plain,
    ( ~ spl0_103
    | ~ spl0_184
    | ~ spl0_76
    | ~ spl0_79
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2287,f3417,f3082,f3070,f3575,f3192]) ).

fof(f3082,plain,
    ( spl0_79
  <=> e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2287,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1310]) ).

fof(f1310,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f656]) ).

fof(f656,axiom,
    ~ ( e4 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax656) ).

fof(f6790,plain,
    ( ~ spl0_70
    | ~ spl0_68
    | ~ spl0_48
    | ~ spl0_73
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2100,f3183,f3056,f2943,f3035,f3043]) ).

fof(f2100,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f808]) ).

fof(f808,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e4 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f622]) ).

fof(f622,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax622) ).

fof(f6789,plain,
    ~ spl0_741,
    inference(avatar_split_clause,[],[f1636,f6786]) ).

fof(f6786,plain,
    ( spl0_741
  <=> op(e0,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).

fof(f1636,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6784,plain,
    spl0_740,
    inference(avatar_split_clause,[],[f2523,f6781]) ).

fof(f6781,plain,
    ( spl0_740
  <=> op(op(e5,e3),e2) = op(e5,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).

fof(f2523,plain,
    op(op(e5,e3),e2) = op(e5,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6779,plain,
    ( ~ spl0_89
    | ~ spl0_76
    | ~ spl0_2
    | ~ spl0_91
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1808,f3196,f3134,f2745,f3070,f3126]) ).

fof(f1808,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1450]) ).

fof(f1450,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f610]) ).

fof(f610,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e2
      & e3 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax610) ).

fof(f6778,plain,
    ( ~ spl0_103
    | ~ spl0_89
    | ~ spl0_4
    | ~ spl0_90
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f2602,f3774,f3130,f2753,f3126,f3192]) ).

fof(f2602,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3
    | e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f812]) ).

fof(f812,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f538]) ).

fof(f538,axiom,
    ~ ( e1 = op(op(e0,e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e3
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax538) ).

fof(f6777,plain,
    ( ~ spl0_243
    | ~ spl0_175
    | ~ spl0_150
    | ~ spl0_247
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2555,f2850,f3891,f3412,f3532,f3868]) ).

fof(f2555,plain,
    ( e4 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1013]) ).

fof(f1013,plain,
    ( e2 != op(op(e5,e5),e5)
    | e4 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ ( e1 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f6776,plain,
    ~ spl0_739,
    inference(avatar_split_clause,[],[f1582,f6773]) ).

fof(f6773,plain,
    ( spl0_739
  <=> op(e2,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).

fof(f1582,plain,
    op(e2,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6771,plain,
    spl0_738,
    inference(avatar_split_clause,[],[f2455,f6768]) ).

fof(f6768,plain,
    ( spl0_738
  <=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).

fof(f2455,plain,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6766,plain,
    spl0_737,
    inference(avatar_split_clause,[],[f2308,f6763]) ).

fof(f6763,plain,
    ( spl0_737
  <=> unit = op(e1,inv(e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).

fof(f2308,plain,
    unit = op(e1,inv(e1)),
    inference(cnf_transformation,[],[f4]) ).

fof(f6761,plain,
    spl0_736,
    inference(avatar_split_clause,[],[f2406,f6758]) ).

fof(f6758,plain,
    ( spl0_736
  <=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).

fof(f2406,plain,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6756,plain,
    ( ~ spl0_86
    | ~ spl0_188
    | ~ spl0_109
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2610,f3100,f3096,f3221,f3597,f3112]) ).

fof(f2610,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f944]) ).

fof(f944,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f173]) ).

fof(f173,axiom,
    ~ ( e4 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).

fof(f6755,plain,
    ( ~ spl0_104
    | ~ spl0_76
    | ~ spl0_2
    | ~ spl0_79
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f1833,f3778,f3082,f2745,f3070,f3196]) ).

fof(f1833,plain,
    ( e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1418]) ).

fof(f1418,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f730]) ).

fof(f730,axiom,
    ~ ( e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax730) ).

fof(f6754,plain,
    spl0_735,
    inference(avatar_split_clause,[],[f2334,f6751]) ).

fof(f6751,plain,
    ( spl0_735
  <=> op(op(e5,e0),e2) = op(e5,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).

fof(f2334,plain,
    op(op(e5,e0),e2) = op(e5,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6749,plain,
    ( ~ spl0_30
    | ~ spl0_114
    | ~ spl0_97
    | ~ spl0_175
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1794,f3315,f3532,f3163,f3243,f2866]) ).

fof(f1794,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1438]) ).

fof(f1438,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f433]) ).

fof(f433,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(e5,e5)
      & e2 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax433) ).

fof(f6748,plain,
    ( ~ spl0_145
    | ~ spl0_140
    | ~ spl0_210
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1456,f3380,f2956,f3699,f3367,f3388]) ).

fof(f3388,plain,
    ( spl0_145
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1456,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f847]) ).

fof(f847,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(e4,e4) ),
    inference(ennf_transformation,[],[f297]) ).

fof(f297,axiom,
    ~ ( e5 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax297) ).

fof(f6747,plain,
    ( ~ spl0_54
    | ~ spl0_51
    | ~ spl0_143
    | ~ spl0_191
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2048,f2964,f3610,f3380,f2956,f2968]) ).

fof(f2048,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f767]) ).

fof(f767,plain,
    ( e1 != op(op(e4,e4),e4)
    | e5 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f281]) ).

fof(f281,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax281) ).

fof(f6746,plain,
    ( ~ spl0_29
    | ~ spl0_66
    | ~ spl0_243
    | ~ spl0_96
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1887,f3013,f3159,f3868,f3025,f2862]) ).

fof(f1887,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1204]) ).

fof(f1204,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f495]) ).

fof(f495,axiom,
    ~ ( e0 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax495) ).

fof(f6745,plain,
    ( ~ spl0_18
    | ~ spl0_204
    | ~ spl0_19
    | ~ spl0_15
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f2263,f4248,f2802,f2818,f3669,f2814]) ).

fof(f2263,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1177]) ).

fof(f1177,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f518]) ).

fof(f518,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax518) ).

fof(f6744,plain,
    ( ~ spl0_165
    | ~ spl0_180
    | ~ spl0_166
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2581,f3367,f2964,f3485,f3556,f3481]) ).

fof(f2581,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1247]) ).

fof(f1247,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e2 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f6743,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_70
    | ~ spl0_46
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1885,f2771,f2935,f3043,f2787,f2779]) ).

fof(f1885,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1274]) ).

fof(f1274,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f472]) ).

fof(f472,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e4 = op(e1,e1)
      & e5 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax472) ).

fof(f6742,plain,
    ( ~ spl0_225
    | ~ spl0_184
    | ~ spl0_107
    | ~ spl0_164
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2318,f3074,f3476,f3211,f3575,f3778]) ).

fof(f2318,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1346]) ).

fof(f1346,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | op(e0,e0) != e5 ),
    inference(ennf_transformation,[],[f334]) ).

fof(f334,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax334) ).

fof(f6741,plain,
    ~ spl0_734,
    inference(avatar_split_clause,[],[f1596,f6738]) ).

fof(f6738,plain,
    ( spl0_734
  <=> op(e2,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).

fof(f1596,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6736,plain,
    ( spl0_728
    | spl0_729
    | spl0_730
    | spl0_731
    | spl0_732
    | spl0_733 ),
    inference(avatar_split_clause,[],[f2181,f6733,f6729,f6725,f6721,f6717,f6713]) ).

fof(f6713,plain,
    ( spl0_728
  <=> e0 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).

fof(f6717,plain,
    ( spl0_729
  <=> e2 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).

fof(f6721,plain,
    ( spl0_730
  <=> e5 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).

fof(f6725,plain,
    ( spl0_731
  <=> e3 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).

fof(f6729,plain,
    ( spl0_732
  <=> e1 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).

fof(f6733,plain,
    ( spl0_733
  <=> e4 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).

fof(f2181,plain,
    ( e4 = op(e2,e5)
    | e1 = op(e2,e5)
    | e3 = op(e2,e5)
    | e5 = op(e2,e5)
    | e2 = op(e2,e5)
    | e0 = op(e2,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6711,plain,
    ( ~ spl0_95
    | ~ spl0_243
    | ~ spl0_26
    | ~ spl0_96
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f2673,f3891,f3159,f2850,f3868,f3155]) ).

fof(f2673,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e4 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1031]) ).

fof(f1031,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f255]) ).

fof(f255,axiom,
    ~ ( e4 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax255) ).

fof(f6710,plain,
    ( ~ spl0_115
    | ~ spl0_247
    | ~ spl0_26
    | ~ spl0_278
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2650,f3532,f4076,f2850,f3891,f3247]) ).

fof(f2650,plain,
    ( e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f745]) ).

fof(f745,plain,
    ( e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f159,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(e5,e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).

fof(f6709,plain,
    ( ~ spl0_72
    | ~ spl0_10
    | ~ spl0_9
    | ~ spl0_101
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2047,f3056,f3183,f2775,f2779,f3052]) ).

fof(f2047,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1047]) ).

fof(f1047,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f710]) ).

fof(f710,axiom,
    ~ ( e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(e1,e1)
      & e4 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax710) ).

fof(f6708,plain,
    ( ~ spl0_203
    | ~ spl0_204
    | ~ spl0_206
    | ~ spl0_178
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f1534,f3986,f3547,f3677,f3669,f3665]) ).

fof(f1534,plain,
    ( e4 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1343]) ).

fof(f1343,plain,
    ( e1 != op(op(e2,e2),e2)
    | e4 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f419]) ).

fof(f419,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(e2,e2)
      & e1 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax419) ).

fof(f6707,plain,
    ~ spl0_727,
    inference(avatar_split_clause,[],[f1610,f6704]) ).

fof(f6704,plain,
    ( spl0_727
  <=> op(e0,e3) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).

fof(f1610,plain,
    op(e0,e3) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6702,plain,
    spl0_726,
    inference(avatar_split_clause,[],[f2515,f6699]) ).

fof(f6699,plain,
    ( spl0_726
  <=> op(op(e4,e0),e2) = op(e4,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).

fof(f2515,plain,
    op(op(e4,e0),e2) = op(e4,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6697,plain,
    ( ~ spl0_96
    | ~ spl0_63
    | ~ spl0_31
    | ~ spl0_66
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2258,f3021,f3025,f2870,f3013,f3159]) ).

fof(f2258,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f743]) ).

fof(f743,plain,
    ( e0 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5) ),
    inference(ennf_transformation,[],[f505]) ).

fof(f505,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(e5,e5)
      & e0 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax505) ).

fof(f6696,plain,
    spl0_725,
    inference(avatar_split_clause,[],[f2379,f6693]) ).

fof(f6693,plain,
    ( spl0_725
  <=> op(op(e0,e3),e4) = op(e0,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).

fof(f2379,plain,
    op(op(e0,e3),e4) = op(e0,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6691,plain,
    ( ~ spl0_29
    | ~ spl0_170
    | ~ spl0_115
    | ~ spl0_248
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1953,f3510,f3895,f3247,f3506,f2862]) ).

fof(f1953,plain,
    ( e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1293]) ).

fof(f1293,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f213]) ).

fof(f213,axiom,
    ~ ( e2 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e4 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax213) ).

fof(f6690,plain,
    ( ~ spl0_48
    | ~ spl0_101
    | ~ spl0_11
    | ~ spl0_130
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1792,f2775,f3320,f2783,f3183,f2943]) ).

fof(f1792,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f829]) ).

fof(f829,plain,
    ( e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f626]) ).

fof(f626,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax626) ).

fof(f6689,plain,
    spl0_724,
    inference(avatar_split_clause,[],[f1763,f6686]) ).

fof(f6686,plain,
    ( spl0_724
  <=> e5 = op(e5,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).

fof(f1763,plain,
    e5 = op(e5,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f6684,plain,
    spl0_443,
    inference(avatar_split_clause,[],[f2006,f5028]) ).

fof(f5028,plain,
    ( spl0_443
  <=> op(e0,e4) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f2006,plain,
    op(e0,e4) = op(e4,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f6683,plain,
    spl0_723,
    inference(avatar_split_clause,[],[f2313,f6680]) ).

fof(f6680,plain,
    ( spl0_723
  <=> unit = op(e5,inv(e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).

fof(f2313,plain,
    unit = op(e5,inv(e5)),
    inference(cnf_transformation,[],[f4]) ).

fof(f6678,plain,
    ( ~ spl0_35
    | ~ spl0_188
    | ~ spl0_124
    | ~ spl0_109
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1854,f3463,f3221,f3291,f3597,f2887]) ).

fof(f1854,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f741]) ).

fof(f741,plain,
    ( e5 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f209]) ).

fof(f209,axiom,
    ~ ( e5 = op(e3,e3)
      & e4 = op(op(e3,e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax209) ).

fof(f6677,plain,
    ( ~ spl0_203
    | ~ spl0_205
    | ~ spl0_135
    | ~ spl0_223
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1946,f3543,f3769,f3341,f3673,f3665]) ).

fof(f1946,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1049]) ).

fof(f1049,plain,
    ( e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f6676,plain,
    ~ spl0_722,
    inference(avatar_split_clause,[],[f1546,f6673]) ).

fof(f6673,plain,
    ( spl0_722
  <=> op(e0,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).

fof(f1546,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6671,plain,
    ( ~ spl0_90
    | ~ spl0_4
    | ~ spl0_3
    | ~ spl0_2
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1933,f3126,f2745,f2749,f2753,f3130]) ).

fof(f1933,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f1397]) ).

fof(f1397,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f562]) ).

fof(f562,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e3
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax562) ).

fof(f6670,plain,
    ( ~ spl0_52
    | ~ spl0_122
    | ~ spl0_190
    | ~ spl0_144
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2294,f3481,f3384,f3606,f3282,f2960]) ).

fof(f2960,plain,
    ( spl0_52
  <=> e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2294,plain,
    ( e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f748]) ).

fof(f748,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f673]) ).

fof(f673,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4)
      & e0 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax673) ).

fof(f6669,plain,
    spl0_721,
    inference(avatar_split_clause,[],[f2530,f6666]) ).

fof(f6666,plain,
    ( spl0_721
  <=> op(op(e3,e5),e0) = op(e3,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).

fof(f2530,plain,
    op(op(e3,e5),e0) = op(e3,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6664,plain,
    ~ spl0_720,
    inference(avatar_split_clause,[],[f1587,f6661]) ).

fof(f6661,plain,
    ( spl0_720
  <=> op(e2,e2) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).

fof(f1587,plain,
    op(e2,e2) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6659,plain,
    ( ~ spl0_112
    | ~ spl0_90
    | ~ spl0_151
    | ~ spl0_103
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2038,f3211,f3192,f3417,f3130,f3234]) ).

fof(f2038,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1087]) ).

fof(f1087,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f290]) ).

fof(f290,axiom,
    ~ ( e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e3
      & e4 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax290) ).

fof(f6658,plain,
    ( spl0_714
    | spl0_715
    | spl0_716
    | spl0_717
    | spl0_718
    | spl0_719 ),
    inference(avatar_split_clause,[],[f1761,f6655,f6651,f6647,f6643,f6639,f6635]) ).

fof(f6635,plain,
    ( spl0_714
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).

fof(f6639,plain,
    ( spl0_715
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).

fof(f6643,plain,
    ( spl0_716
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).

fof(f6647,plain,
    ( spl0_717
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).

fof(f6651,plain,
    ( spl0_718
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).

fof(f6655,plain,
    ( spl0_719
  <=> e5 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).

fof(f1761,plain,
    ( e5 = unit
    | e3 = unit
    | e1 = unit
    | e2 = unit
    | e4 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f3]) ).

fof(f6633,plain,
    ( ~ spl0_112
    | ~ spl0_183
    | ~ spl0_75
    | ~ spl0_89
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1998,f3122,f3126,f3066,f3571,f3234]) ).

fof(f1998,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1144]) ).

fof(f1144,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f578]) ).

fof(f578,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e1
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax578) ).

fof(f6632,plain,
    ( ~ spl0_71
    | ~ spl0_46
    | ~ spl0_12
    | ~ spl0_49
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f1750,f3753,f2947,f2787,f2935,f3048]) ).

fof(f1750,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1410]) ).

fof(f1410,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f130,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(e1,e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).

fof(f6631,plain,
    ( ~ spl0_204
    | ~ spl0_263
    | ~ spl0_80
    | ~ spl0_179
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f2144,f4248,f3551,f3087,f3986,f3669]) ).

fof(f2144,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1308]) ).

fof(f1308,plain,
    ( e4 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f640]) ).

fof(f640,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax640) ).

fof(f6630,plain,
    ( ~ spl0_203
    | ~ spl0_204
    | ~ spl0_15
    | ~ spl0_80
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1977,f2845,f3087,f2802,f3669,f3665]) ).

fof(f1977,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1128]) ).

fof(f1128,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f534]) ).

fof(f534,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax534) ).

fof(f6629,plain,
    spl0_713,
    inference(avatar_split_clause,[],[f2439,f6626]) ).

fof(f6626,plain,
    ( spl0_713
  <=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).

fof(f2439,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6624,plain,
    ~ spl0_712,
    inference(avatar_split_clause,[],[f1606,f6621]) ).

fof(f6621,plain,
    ( spl0_712
  <=> op(e1,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).

fof(f1606,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6619,plain,
    ( ~ spl0_70
    | ~ spl0_47
    | ~ spl0_71
    | ~ spl0_221
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2279,f3056,f3757,f3048,f2939,f3043]) ).

fof(f2279,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1441]) ).

fof(f1441,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ~ ( e4 = op(e1,e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f6618,plain,
    ( ~ spl0_140
    | ~ spl0_50
    | ~ spl0_189
    | ~ spl0_212
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1856,f2964,f3711,f3602,f2952,f3367]) ).

fof(f1856,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f934]) ).

fof(f934,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f151]) ).

fof(f151,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e0 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).

fof(f6617,plain,
    spl0_711,
    inference(avatar_split_clause,[],[f2373,f6614]) ).

fof(f6614,plain,
    ( spl0_711
  <=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).

fof(f2373,plain,
    op(op(e3,e1),e1) = op(e3,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6612,plain,
    spl0_710,
    inference(avatar_split_clause,[],[f2493,f6609]) ).

fof(f6609,plain,
    ( spl0_710
  <=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).

fof(f2493,plain,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6607,plain,
    ~ spl0_709,
    inference(avatar_split_clause,[],[f1581,f6604]) ).

fof(f6604,plain,
    ( spl0_709
  <=> op(e0,e2) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).

fof(f1581,plain,
    op(e0,e2) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6602,plain,
    spl0_708,
    inference(avatar_split_clause,[],[f2388,f6599]) ).

fof(f6599,plain,
    ( spl0_708
  <=> op(op(e5,e0),e5) = op(e5,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).

fof(f2388,plain,
    op(op(e5,e0),e5) = op(e5,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6597,plain,
    spl0_707,
    inference(avatar_split_clause,[],[f2496,f6594]) ).

fof(f6594,plain,
    ( spl0_707
  <=> op(op(e5,e1),e4) = op(e5,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).

fof(f2496,plain,
    op(op(e5,e1),e4) = op(e5,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6592,plain,
    ( ~ spl0_183
    | ~ spl0_5
    | ~ spl0_4
    | ~ spl0_3
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1999,f3078,f2749,f2753,f2757,f3571]) ).

fof(f1999,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f1303]) ).

fof(f1303,plain,
    ( op(e0,e0) != e1
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f440]) ).

fof(f440,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e1
      & e2 = op(op(e0,e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax440) ).

fof(f6591,plain,
    ( ~ spl0_105
    | ~ spl0_162
    | ~ spl0_109
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1983,f3206,f2879,f3221,f3467,f3202]) ).

fof(f1983,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f964]) ).

fof(f964,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f256]) ).

fof(f256,axiom,
    ~ ( e5 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax256) ).

fof(f6590,plain,
    ( ~ spl0_91
    | ~ spl0_77
    | ~ spl0_90
    | ~ spl0_107
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1528,f3078,f3211,f3130,f3074,f3134]) ).

fof(f1528,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f787]) ).

fof(f787,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f356]) ).

fof(f356,axiom,
    ~ ( op(e0,e0) = e3
      & e1 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax356) ).

fof(f6589,plain,
    ( ~ spl0_221
    | ~ spl0_187
    | ~ spl0_45
    | ~ spl0_47
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1988,f2947,f2939,f2931,f3591,f3757]) ).

fof(f1988,plain,
    ( e3 != op(e1,e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1159]) ).

fof(f1159,plain,
    ( e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f563]) ).

fof(f563,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(e1,e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax563) ).

fof(f6588,plain,
    ( ~ spl0_17
    | ~ spl0_23
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2569,f3543,f2818,f2802,f2837,f2810]) ).

fof(f2569,plain,
    ( e1 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1276]) ).

fof(f1276,plain,
    ( e1 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f504]) ).

fof(f504,axiom,
    ~ ( e0 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax504) ).

fof(f6587,plain,
    ( ~ spl0_30
    | ~ spl0_63
    | ~ spl0_243
    | ~ spl0_129
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2173,f3510,f3315,f3868,f3013,f2866]) ).

fof(f2173,plain,
    ( e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5) ),
    inference(cnf_transformation,[],[f860]) ).

fof(f860,plain,
    ( e0 != op(e5,e5)
    | e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f451]) ).

fof(f451,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax451) ).

fof(f6586,plain,
    ( ~ spl0_180
    | ~ spl0_190
    | ~ spl0_166
    | ~ spl0_165
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1466,f3715,f3481,f3485,f3606,f3556]) ).

fof(f1466,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f738,plain,
    ( e1 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ ( e3 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f6585,plain,
    ( ~ spl0_79
    | ~ spl0_88
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2050,f3778,f3575,f3571,f3122,f3082]) ).

fof(f2050,plain,
    ( e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1018]) ).

fof(f1018,plain,
    ( op(e0,e0) != e1
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f722]) ).

fof(f722,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax722) ).

fof(f6584,plain,
    ( ~ spl0_51
    | ~ spl0_145
    | ~ spl0_52
    | ~ spl0_210
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2725,f3278,f3699,f2960,f3388,f2956]) ).

fof(f2725,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f842]) ).

fof(f842,plain,
    ( e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f645]) ).

fof(f645,axiom,
    ~ ( e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e3 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax645) ).

fof(f6583,plain,
    ( ~ spl0_86
    | ~ spl0_85
    | ~ spl0_84
    | ~ spl0_162
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2734,f3463,f3467,f3104,f3108,f3112]) ).

fof(f2734,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1330]) ).

fof(f1330,plain,
    ( e1 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f631]) ).

fof(f631,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax631) ).

fof(f6582,plain,
    ~ spl0_706,
    inference(avatar_split_clause,[],[f1672,f6579]) ).

fof(f6579,plain,
    ( spl0_706
  <=> op(e2,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).

fof(f1672,plain,
    op(e2,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f6577,plain,
    ( ~ spl0_182
    | spl0_181 ),
    inference(avatar_split_clause,[],[f2086,f3562,f3566]) ).

fof(f3566,plain,
    ( spl0_182
  <=> e4 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2086,plain,
    ( e1 = inv(e4)
    | e4 != inv(e1) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6576,plain,
    ~ spl0_705,
    inference(avatar_split_clause,[],[f1491,f6573]) ).

fof(f6573,plain,
    ( spl0_705
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).

fof(f1491,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f10]) ).

fof(f6571,plain,
    ( spl0_699
    | spl0_700
    | spl0_701
    | spl0_702
    | spl0_703
    | spl0_704 ),
    inference(avatar_split_clause,[],[f2202,f6568,f6564,f6560,f6556,f6552,f6548]) ).

fof(f6548,plain,
    ( spl0_699
  <=> e5 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).

fof(f6552,plain,
    ( spl0_700
  <=> e3 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).

fof(f6556,plain,
    ( spl0_701
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).

fof(f6560,plain,
    ( spl0_702
  <=> e1 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).

fof(f6564,plain,
    ( spl0_703
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).

fof(f6568,plain,
    ( spl0_704
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).

fof(f2202,plain,
    ( e4 = op(e4,e0)
    | e0 = op(e4,e0)
    | e1 = op(e4,e0)
    | e2 = op(e4,e0)
    | e3 = op(e4,e0)
    | e5 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6546,plain,
    spl0_698,
    inference(avatar_split_clause,[],[f2469,f6543]) ).

fof(f6543,plain,
    ( spl0_698
  <=> op(op(e3,e3),e4) = op(e3,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).

fof(f2469,plain,
    op(op(e3,e3),e4) = op(e3,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6541,plain,
    ( ~ spl0_66
    | ~ spl0_97
    | ~ spl0_29
    | ~ spl0_248
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2646,f3159,f3895,f2862,f3163,f3025]) ).

fof(f2646,plain,
    ( e0 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f877]) ).

fof(f877,plain,
    ( e0 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f501]) ).

fof(f501,axiom,
    ~ ( e3 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax501) ).

fof(f6540,plain,
    spl0_697,
    inference(avatar_split_clause,[],[f2377,f6537]) ).

fof(f6537,plain,
    ( spl0_697
  <=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).

fof(f2377,plain,
    op(op(e3,e3),e1) = op(e3,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6535,plain,
    ( ~ spl0_170
    | ~ spl0_129
    | ~ spl0_243
    | ~ spl0_171
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2698,f2858,f3510,f3868,f3315,f3506]) ).

fof(f2698,plain,
    ( e2 != op(e5,e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f739,plain,
    ( e2 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f453]) ).

fof(f453,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax453) ).

fof(f6534,plain,
    spl0_696,
    inference(avatar_split_clause,[],[f2421,f6531]) ).

fof(f6531,plain,
    ( spl0_696
  <=> op(op(e0,e4),e2) = op(e0,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).

fof(f2421,plain,
    op(op(e0,e4),e2) = op(e0,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6529,plain,
    ( ~ spl0_129
    | ~ spl0_31
    | ~ spl0_248
    | ~ spl0_160
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2149,f3159,f3457,f3895,f2870,f3315]) ).

fof(f2149,plain,
    ( e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f998]) ).

fof(f998,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f379]) ).

fof(f379,axiom,
    ~ ( e2 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(e5,e5),e5)
      & e1 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax379) ).

fof(f6528,plain,
    spl0_676,
    inference(avatar_split_clause,[],[f2019,f6417]) ).

fof(f6417,plain,
    ( spl0_676
  <=> op(e2,e5) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f2019,plain,
    op(e2,e5) = op(e5,e2),
    inference(cnf_transformation,[],[f11]) ).

fof(f6527,plain,
    spl0_695,
    inference(avatar_split_clause,[],[f2542,f6524]) ).

fof(f6524,plain,
    ( spl0_695
  <=> op(op(e4,e0),e5) = op(e4,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).

fof(f2542,plain,
    op(op(e4,e0),e5) = op(e4,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6522,plain,
    ( ~ spl0_113
    | ~ spl0_170
    | ~ spl0_95
    | ~ spl0_243
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1942,f2850,f3868,f3155,f3506,f3239]) ).

fof(f1942,plain,
    ( e4 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f859]) ).

fof(f859,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f309]) ).

fof(f309,axiom,
    ~ ( e1 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(e5,e5)
      & e3 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax309) ).

fof(f6521,plain,
    ( ~ spl0_18
    | ~ spl0_204
    | ~ spl0_135
    | ~ spl0_205
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1898,f3665,f3673,f3341,f3669,f2814]) ).

fof(f1898,plain,
    ( e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1234]) ).

fof(f1234,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ~ ( e1 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(e2,e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(f6520,plain,
    ~ spl0_694,
    inference(avatar_split_clause,[],[f1489,f6517]) ).

fof(f6517,plain,
    ( spl0_694
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).

fof(f1489,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f10]) ).

fof(f6515,plain,
    ( ~ spl0_263
    | ~ spl0_309
    | ~ spl0_179
    | ~ spl0_223
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1914,f3337,f3769,f3551,f4248,f3986]) ).

fof(f1914,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f757,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(ennf_transformation,[],[f689]) ).

fof(f689,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax689) ).

fof(f6514,plain,
    ( ~ spl0_97
    | ~ spl0_278
    | ~ spl0_66
    | ~ spl0_28
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2622,f3239,f2858,f3025,f4076,f3163]) ).

fof(f2622,plain,
    ( e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1283]) ).

fof(f1283,plain,
    ( e2 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f567]) ).

fof(f567,axiom,
    ~ ( e0 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(e5,e5)
      & e3 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax567) ).

fof(f6513,plain,
    ( ~ spl0_210
    | ~ spl0_212
    | ~ spl0_145
    | ~ spl0_165
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1876,f3367,f3481,f3388,f3711,f3699]) ).

fof(f1876,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1039]) ).

fof(f1039,plain,
    ( e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f177]) ).

fof(f177,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax177) ).

fof(f6512,plain,
    ( ~ spl0_80
    | ~ spl0_25
    | ~ spl0_133
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2548,f2806,f2802,f3333,f2845,f3087]) ).

fof(f2548,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1271]) ).

fof(f1271,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f594]) ).

fof(f594,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2)
      & e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax594) ).

fof(f6511,plain,
    ( ~ spl0_111
    | ~ spl0_123
    | ~ spl0_227
    | ~ spl0_86
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1919,f3500,f3112,f3789,f3287,f3229]) ).

fof(f1919,plain,
    ( e1 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f979]) ).

fof(f979,plain,
    ( e1 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(e3,e3)
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f6510,plain,
    ~ spl0_693,
    inference(avatar_split_clause,[],[f1597,f6507]) ).

fof(f6507,plain,
    ( spl0_693
  <=> op(e5,e0) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).

fof(f1597,plain,
    op(e5,e0) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6505,plain,
    ~ spl0_692,
    inference(avatar_split_clause,[],[f1727,f6502]) ).

fof(f6502,plain,
    ( spl0_692
  <=> inv(e1) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).

fof(f1727,plain,
    inv(e1) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f6500,plain,
    ( ~ spl0_165
    | ~ spl0_53
    | ~ spl0_191
    | ~ spl0_212
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2632,f2968,f3711,f3610,f2964,f3481]) ).

fof(f2632,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1157]) ).

fof(f1157,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e5 != op(e4,e4) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,axiom,
    ~ ( e5 = op(e4,e4)
      & e2 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).

fof(f6499,plain,
    ( ~ spl0_33
    | ~ spl0_99
    | ~ spl0_106
    | ~ spl0_163
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1985,f3100,f3471,f3206,f3173,f2879]) ).

fof(f1985,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f764]) ).

fof(f764,plain,
    ( e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f359]) ).

fof(f359,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e4 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax359) ).

fof(f6498,plain,
    spl0_691,
    inference(avatar_split_clause,[],[f2492,f6495]) ).

fof(f6495,plain,
    ( spl0_691
  <=> op(op(e1,e5),e5) = op(e1,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).

fof(f2492,plain,
    op(op(e1,e5),e5) = op(e1,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6493,plain,
    ~ spl0_690,
    inference(avatar_split_clause,[],[f1731,f6490]) ).

fof(f6490,plain,
    ( spl0_690
  <=> inv(e1) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).

fof(f1731,plain,
    inv(e1) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f6488,plain,
    ~ spl0_689,
    inference(avatar_split_clause,[],[f1617,f6485]) ).

fof(f6485,plain,
    ( spl0_689
  <=> op(e0,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).

fof(f1617,plain,
    op(e0,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6483,plain,
    ( spl0_683
    | spl0_684
    | spl0_685
    | spl0_686
    | spl0_687
    | spl0_688 ),
    inference(avatar_split_clause,[],[f2179,f6480,f6476,f6472,f6468,f6464,f6460]) ).

fof(f6460,plain,
    ( spl0_683
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f6464,plain,
    ( spl0_684
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f6468,plain,
    ( spl0_685
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).

fof(f6472,plain,
    ( spl0_686
  <=> e5 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).

fof(f6476,plain,
    ( spl0_687
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).

fof(f6480,plain,
    ( spl0_688
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).

fof(f2179,plain,
    ( e2 = op(e0,e3)
    | e4 = op(e0,e3)
    | e5 = op(e0,e3)
    | e1 = op(e0,e3)
    | e0 = op(e0,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6458,plain,
    ( spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2074,f3305,f3301]) ).

fof(f3301,plain,
    ( spl0_126
  <=> e1 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3305,plain,
    ( spl0_127
  <=> e2 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2074,plain,
    ( e2 != inv(e1)
    | e1 = inv(e2) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6457,plain,
    ~ spl0_682,
    inference(avatar_split_clause,[],[f1542,f6454]) ).

fof(f6454,plain,
    ( spl0_682
  <=> op(e0,e1) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f1542,plain,
    op(e0,e1) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6452,plain,
    ( ~ spl0_225
    | ~ spl0_104
    | ~ spl0_224
    | ~ spl0_79
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1945,f3571,f3082,f3774,f3196,f3778]) ).

fof(f1945,plain,
    ( op(e0,e0) != e1
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f976]) ).

fof(f976,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f728]) ).

fof(f728,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(e0,e0),e0)
      & op(e0,e0) = e1
      & e3 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax728) ).

fof(f6451,plain,
    ( ~ spl0_45
    | ~ spl0_12
    | ~ spl0_46
    | ~ spl0_132
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2600,f3320,f3328,f2935,f2787,f2931]) ).

fof(f2600,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f775]) ).

fof(f775,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f606]) ).

fof(f606,axiom,
    ~ ( e5 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax606) ).

fof(f6450,plain,
    ~ spl0_681,
    inference(avatar_split_clause,[],[f1545,f6447]) ).

fof(f6447,plain,
    ( spl0_681
  <=> op(e5,e2) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f1545,plain,
    op(e5,e2) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6445,plain,
    ( ~ spl0_85
    | ~ spl0_162
    | ~ spl0_298
    | ~ spl0_161
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1874,f2875,f3463,f4187,f3467,f3108]) ).

fof(f1874,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1006]) ).

fof(f1006,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f511]) ).

fof(f511,axiom,
    ~ ( e5 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax511) ).

fof(f6444,plain,
    ( ~ spl0_193
    | spl0_192 ),
    inference(avatar_split_clause,[],[f2070,f3615,f3619]) ).

fof(f3619,plain,
    ( spl0_193
  <=> e1 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f3615,plain,
    ( spl0_192
  <=> e0 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f2070,plain,
    ( e0 = inv(e1)
    | e1 != inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6443,plain,
    ( ~ spl0_178
    | ~ spl0_81
    | ~ spl0_15
    | ~ spl0_23
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f2592,f3669,f2837,f2802,f3091,f3547]) ).

fof(f2592,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1167]) ).

fof(f1167,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2) ),
    inference(ennf_transformation,[],[f533]) ).

fof(f533,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e5 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax533) ).

fof(f6442,plain,
    spl0_680,
    inference(avatar_split_clause,[],[f2531,f6439]) ).

fof(f6439,plain,
    ( spl0_680
  <=> op(op(e0,e5),e5) = op(e0,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f2531,plain,
    op(op(e0,e5),e5) = op(e0,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6437,plain,
    spl0_679,
    inference(avatar_split_clause,[],[f2541,f6434]) ).

fof(f6434,plain,
    ( spl0_679
  <=> op(op(e0,e3),e3) = op(e0,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f2541,plain,
    op(op(e0,e3),e3) = op(e0,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6432,plain,
    ~ spl0_678,
    inference(avatar_split_clause,[],[f1579,f6429]) ).

fof(f6429,plain,
    ( spl0_678
  <=> op(e1,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f1579,plain,
    op(e1,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f6427,plain,
    ( ~ spl0_178
    | ~ spl0_206
    | ~ spl0_133
    | ~ spl0_16
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f2260,f3986,f2806,f3333,f3677,f3547]) ).

fof(f2260,plain,
    ( e4 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1188]) ).

fof(f1188,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f479]) ).

fof(f479,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e4 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax479) ).

fof(f6426,plain,
    ( ~ spl0_113
    | ~ spl0_278
    | ~ spl0_66
    | ~ spl0_31
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1865,f3013,f2870,f3025,f4076,f3239]) ).

fof(f1865,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1002]) ).

fof(f1002,plain,
    ( e3 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f565]) ).

fof(f565,axiom,
    ~ ( e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax565) ).

fof(f6425,plain,
    ~ spl0_677,
    inference(avatar_split_clause,[],[f1594,f6422]) ).

fof(f6422,plain,
    ( spl0_677
  <=> op(e1,e4) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f1594,plain,
    op(e1,e4) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6420,plain,
    spl0_676,
    inference(avatar_split_clause,[],[f2025,f6417]) ).

fof(f2025,plain,
    op(e2,e5) = op(e5,e2),
    inference(cnf_transformation,[],[f11]) ).

fof(f6415,plain,
    ( spl0_670
    | spl0_671
    | spl0_672
    | spl0_673
    | spl0_674
    | spl0_675 ),
    inference(avatar_split_clause,[],[f2209,f6412,f6408,f6404,f6400,f6396,f6392]) ).

fof(f6392,plain,
    ( spl0_670
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f6396,plain,
    ( spl0_671
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f6400,plain,
    ( spl0_672
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f6404,plain,
    ( spl0_673
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f6408,plain,
    ( spl0_674
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f6412,plain,
    ( spl0_675
  <=> e5 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f2209,plain,
    ( e5 = op(e3,e0)
    | e4 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6390,plain,
    ( ~ spl0_73
    | ~ spl0_9
    | ~ spl0_101
    | ~ spl0_220
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1918,f2943,f3753,f3183,f2775,f3056]) ).

fof(f1918,plain,
    ( e0 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1203]) ).

fof(f1203,plain,
    ( e2 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f632]) ).

fof(f632,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax632) ).

fof(f6389,plain,
    ~ spl0_669,
    inference(avatar_split_clause,[],[f1612,f6386]) ).

fof(f6386,plain,
    ( spl0_669
  <=> op(e0,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f1612,plain,
    op(e0,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6384,plain,
    ~ spl0_668,
    inference(avatar_split_clause,[],[f1576,f6381]) ).

fof(f6381,plain,
    ( spl0_668
  <=> op(e0,e5) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f1576,plain,
    op(e0,e5) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6379,plain,
    ( ~ spl0_309
    | ~ spl0_223
    | ~ spl0_81
    | ~ spl0_15
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1939,f3337,f2802,f3091,f3769,f4248]) ).

fof(f1939,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1393]) ).

fof(f1393,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f569]) ).

fof(f569,axiom,
    ~ ( e3 = op(op(e2,e2),e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax569) ).

fof(f6378,plain,
    ( ~ spl0_161
    | ~ spl0_124
    | ~ spl0_188
    | ~ spl0_99
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1971,f3471,f3173,f3597,f3291,f3463]) ).

fof(f1971,plain,
    ( e4 != op(e3,e3)
    | e5 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f854]) ).

fof(f854,plain,
    ( e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f233]) ).

fof(f233,axiom,
    ~ ( e4 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax233) ).

fof(f6377,plain,
    ( ~ spl0_9
    | ~ spl0_45
    | ~ spl0_47
    | ~ spl0_187
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2587,f3187,f3591,f2939,f2931,f2775]) ).

fof(f2587,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f939]) ).

fof(f939,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f587]) ).

fof(f587,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax587) ).

fof(f6376,plain,
    ( spl0_483
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f2069,f5255,f5251]) ).

fof(f2069,plain,
    ( e5 != inv(e4)
    | e4 = inv(e5) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6375,plain,
    ( ~ spl0_168
    | ~ spl0_164
    | ~ spl0_184
    | ~ spl0_88
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f1892,f3778,f3122,f3575,f3476,f3495]) ).

fof(f1892,plain,
    ( e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1102]) ).

fof(f1102,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f214]) ).

fof(f214,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(e0,e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax214) ).

fof(f6374,plain,
    ( ~ spl0_213
    | ~ spl0_141
    | ~ spl0_189
    | ~ spl0_50
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f2594,f3956,f2952,f3602,f3371,f3715]) ).

fof(f2594,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1228]) ).

fof(f1228,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f372]) ).

fof(f372,axiom,
    ~ ( e2 = op(e4,e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax372) ).

fof(f6373,plain,
    ( ~ spl0_258
    | ~ spl0_53
    | ~ spl0_52
    | ~ spl0_122
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1869,f3481,f3282,f2960,f2964,f3956]) ).

fof(f1869,plain,
    ( e2 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1442]) ).

fof(f1442,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f667]) ).

fof(f667,axiom,
    ~ ( e1 = op(op(op(e4,e4),e4),e4)
      & e0 = op(e4,e4)
      & e2 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax667) ).

fof(f6372,plain,
    spl0_667,
    inference(avatar_split_clause,[],[f2309,f6369]) ).

fof(f6369,plain,
    ( spl0_667
  <=> unit = op(inv(e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f2309,plain,
    unit = op(inv(e2),e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f6367,plain,
    ( ~ spl0_144
    | ~ spl0_54
    | ~ spl0_50
    | ~ spl0_52
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f2130,f3695,f2960,f2952,f2968,f3384]) ).

fof(f2130,plain,
    ( e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1091]) ).

fof(f1091,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f687]) ).

fof(f687,axiom,
    ~ ( e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax687) ).

fof(f6366,plain,
    ( ~ spl0_161
    | ~ spl0_111
    | ~ spl0_109
    | ~ spl0_35
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1483,f3206,f2887,f3221,f3229,f3463]) ).

fof(f1483,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1156]) ).

fof(f1156,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f6365,plain,
    ~ spl0_666,
    inference(avatar_split_clause,[],[f1622,f6362]) ).

fof(f6362,plain,
    ( spl0_666
  <=> op(e3,e0) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f1622,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6360,plain,
    spl0_665,
    inference(avatar_split_clause,[],[f2387,f6357]) ).

fof(f6357,plain,
    ( spl0_665
  <=> op(op(e4,e4),e3) = op(e4,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f2387,plain,
    op(op(e4,e4),e3) = op(e4,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6355,plain,
    spl0_664,
    inference(avatar_split_clause,[],[f2514,f6352]) ).

fof(f6352,plain,
    ( spl0_664
  <=> op(op(e4,e0),e3) = op(e4,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f2514,plain,
    op(op(e4,e0),e3) = op(e4,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6350,plain,
    spl0_663,
    inference(avatar_split_clause,[],[f2476,f6347]) ).

fof(f6347,plain,
    ( spl0_663
  <=> op(op(e5,e2),e5) = op(e5,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f2476,plain,
    op(op(e5,e2),e5) = op(e5,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6345,plain,
    ~ spl0_662,
    inference(avatar_split_clause,[],[f1571,f6342]) ).

fof(f6342,plain,
    ( spl0_662
  <=> op(e3,e2) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f1571,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6340,plain,
    ( ~ spl0_112
    | ~ spl0_104
    | ~ spl0_168
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1535,f2761,f2749,f3495,f3196,f3234]) ).

fof(f2761,plain,
    ( spl0_6
  <=> op(e0,e0) = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1535,plain,
    ( op(e0,e0) != e4
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f761]) ).

fof(f761,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e4
    | e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f164]) ).

fof(f164,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e4
      & e3 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).

fof(f6339,plain,
    ( ~ spl0_64
    | ~ spl0_95
    | ~ spl0_160
    | ~ spl0_30
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2638,f3021,f2866,f3457,f3155,f3017]) ).

fof(f2638,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1101]) ).

fof(f1101,plain,
    ( e1 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f283]) ).

fof(f283,axiom,
    ~ ( e3 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e0 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax283) ).

fof(f6338,plain,
    ~ spl0_661,
    inference(avatar_split_clause,[],[f1567,f6335]) ).

fof(f6335,plain,
    ( spl0_661
  <=> op(e0,e1) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f1567,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6333,plain,
    spl0_660,
    inference(avatar_split_clause,[],[f2027,f6330]) ).

fof(f2027,plain,
    op(e0,e1) = op(e1,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f6328,plain,
    spl0_659,
    inference(avatar_split_clause,[],[f2414,f6325]) ).

fof(f6325,plain,
    ( spl0_659
  <=> op(op(e2,e0),e2) = op(e2,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f2414,plain,
    op(op(e2,e0),e2) = op(e2,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6323,plain,
    ( ~ spl0_132
    | ~ spl0_47
    | ~ spl0_131
    | ~ spl0_73
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2728,f3052,f3056,f3324,f2939,f3328]) ).

fof(f2728,plain,
    ( e4 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f957]) ).

fof(f957,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f342]) ).

fof(f342,axiom,
    ~ ( e4 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1)
      & e5 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax342) ).

fof(f6322,plain,
    spl0_658,
    inference(avatar_split_clause,[],[f2484,f6319]) ).

fof(f6319,plain,
    ( spl0_658
  <=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f2484,plain,
    op(op(e2,e1),e1) = op(e2,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6317,plain,
    ( ~ spl0_247
    | ~ spl0_114
    | ~ spl0_30
    | ~ spl0_64
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1956,f3155,f3017,f2866,f3243,f3891]) ).

fof(f1956,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1024]) ).

fof(f1024,plain,
    ( e0 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f289,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e0 = op(e5,e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax289) ).

fof(f6316,plain,
    ( ~ spl0_190
    | ~ spl0_144
    | ~ spl0_166
    | ~ spl0_165
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f1758,f3610,f3481,f3485,f3384,f3606]) ).

fof(f1758,plain,
    ( e5 != op(e4,e4)
    | e2 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1070]) ).

fof(f1070,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ~ ( e2 = op(op(e4,e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e5 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f6315,plain,
    ~ spl0_657,
    inference(avatar_split_clause,[],[f1724,f6312]) ).

fof(f6312,plain,
    ( spl0_657
  <=> inv(e0) = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f1724,plain,
    inv(e0) != inv(e1),
    inference(cnf_transformation,[],[f8]) ).

fof(f6310,plain,
    spl0_656,
    inference(avatar_split_clause,[],[f2456,f6307]) ).

fof(f6307,plain,
    ( spl0_656
  <=> op(op(e4,e5),e1) = op(e4,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f2456,plain,
    op(op(e4,e5),e1) = op(e4,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6305,plain,
    ( ~ spl0_175
    | ~ spl0_115
    | ~ spl0_160
    | ~ spl0_30
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2655,f3021,f2866,f3457,f3247,f3532]) ).

fof(f2655,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1046]) ).

fof(f1046,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f163,axiom,
    ~ ( e3 = op(op(op(e5,e5),e5),e5)
      & e0 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).

fof(f6304,plain,
    ( ~ spl0_99
    | ~ spl0_124
    | ~ spl0_123
    | ~ spl0_34
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f2162,f4187,f2883,f3287,f3291,f3173]) ).

fof(f2162,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1094]) ).

fof(f1094,plain,
    ( e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f591]) ).

fof(f591,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax591) ).

fof(f6303,plain,
    ~ spl0_655,
    inference(avatar_split_clause,[],[f1655,f6300]) ).

fof(f6300,plain,
    ( spl0_655
  <=> op(e4,e1) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f1655,plain,
    op(e4,e1) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6298,plain,
    ~ spl0_654,
    inference(avatar_split_clause,[],[f1561,f6295]) ).

fof(f6295,plain,
    ( spl0_654
  <=> op(e3,e4) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f1561,plain,
    op(e3,e4) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6293,plain,
    ( ~ spl0_212
    | ~ spl0_122
    | ~ spl0_190
    | ~ spl0_146
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2160,f3375,f3392,f3606,f3282,f3711]) ).

fof(f2160,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f952]) ).

fof(f952,plain,
    ( e0 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f241]) ).

fof(f241,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(e4,e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax241) ).

fof(f6292,plain,
    spl0_653,
    inference(avatar_split_clause,[],[f2374,f6289]) ).

fof(f6289,plain,
    ( spl0_653
  <=> op(op(e0,e5),e4) = op(e0,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f2374,plain,
    op(op(e0,e5),e4) = op(e0,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6287,plain,
    ( spl0_310
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2097,f2922,f4253]) ).

fof(f4253,plain,
    ( spl0_310
  <=> e3 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f2922,plain,
    ( spl0_43
  <=> e1 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2097,plain,
    ( e1 != inv(e3)
    | e3 = inv(e1) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6286,plain,
    ( ~ spl0_224
    | ~ spl0_75
    | ~ spl0_164
    | ~ spl0_77
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2643,f3126,f3074,f3476,f3066,f3774]) ).

fof(f2643,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f836]) ).

fof(f836,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f574]) ).

fof(f574,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax574) ).

fof(f6285,plain,
    ( ~ spl0_45
    | ~ spl0_187
    | ~ spl0_130
    | ~ spl0_158
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f1888,f3757,f3447,f3320,f3591,f2931]) ).

fof(f1888,plain,
    ( e2 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1379]) ).

fof(f1379,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f557]) ).

fof(f557,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax557) ).

fof(f6284,plain,
    ( ~ spl0_227
    | ~ spl0_33
    | ~ spl0_85
    | ~ spl0_162
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2588,f3112,f3467,f3108,f2879,f3789]) ).

fof(f2588,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f863]) ).

fof(f863,plain,
    ( e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f264]) ).

fof(f264,axiom,
    ~ ( e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax264) ).

fof(f6283,plain,
    ( ~ spl0_132
    | ~ spl0_72
    | ~ spl0_46
    | ~ spl0_101
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2580,f3320,f3183,f2935,f3052,f3328]) ).

fof(f2580,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f846]) ).

fof(f846,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f726]) ).

fof(f726,axiom,
    ~ ( e4 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax726) ).

fof(f6282,plain,
    ( ~ spl0_88
    | ~ spl0_79
    | ~ spl0_78
    | ~ spl0_183
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2245,f3066,f3571,f3078,f3082,f3122]) ).

fof(f2245,plain,
    ( e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f960]) ).

fof(f960,plain,
    ( op(e0,e0) != e1
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f698]) ).

fof(f698,axiom,
    ~ ( op(e0,e0) = e1
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax698) ).

fof(f6281,plain,
    spl0_652,
    inference(avatar_split_clause,[],[f2351,f6278]) ).

fof(f6278,plain,
    ( spl0_652
  <=> op(op(e2,e4),e2) = op(e2,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f2351,plain,
    op(op(e2,e4),e2) = op(e2,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6276,plain,
    ( ~ spl0_50
    | ~ spl0_53
    | ~ spl0_54
    | ~ spl0_212
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2677,f3392,f3711,f2968,f2964,f2952]) ).

fof(f2677,plain,
    ( e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1198]) ).

fof(f1198,plain,
    ( e2 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f229]) ).

fof(f229,axiom,
    ~ ( e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(e4,e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax229) ).

fof(f6275,plain,
    ( ~ spl0_28
    | ~ spl0_160
    | ~ spl0_278
    | ~ spl0_129
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1471,f3017,f3315,f4076,f3457,f2858]) ).

fof(f1471,plain,
    ( e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(cnf_transformation,[],[f821]) ).

fof(f821,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f397]) ).

fof(f397,axiom,
    ~ ( e2 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(e5,e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax397) ).

fof(f6274,plain,
    spl0_651,
    inference(avatar_split_clause,[],[f2311,f6271]) ).

fof(f6271,plain,
    ( spl0_651
  <=> unit = op(inv(e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f2311,plain,
    unit = op(inv(e1),e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f6269,plain,
    ( ~ spl0_145
    | ~ spl0_121
    | ~ spl0_52
    | ~ spl0_189
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2106,f3384,f3602,f2960,f3278,f3388]) ).

fof(f2106,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1376]) ).

fof(f1376,plain,
    ( e0 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f621]) ).

fof(f621,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(e4,e4),e4),e4)
      & e3 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax621) ).

fof(f6268,plain,
    ( ~ spl0_146
    | ~ spl0_190
    | ~ spl0_122
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2615,f3384,f3380,f3282,f3606,f3392]) ).

fof(f2615,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1205]) ).

fof(f1205,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f361]) ).

fof(f361,axiom,
    ~ ( e3 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(e4,e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax361) ).

fof(f6267,plain,
    ( ~ spl0_78
    | ~ spl0_3
    | ~ spl0_183
    | ~ spl0_79
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2264,f3196,f3082,f3571,f2749,f3078]) ).

fof(f2264,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f989]) ).

fof(f989,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f674]) ).

fof(f674,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e1
      & e3 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax674) ).

fof(f6266,plain,
    ( ~ spl0_110
    | ~ spl0_34
    | ~ spl0_298
    | ~ spl0_36
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2707,f3173,f2891,f4187,f2883,f3225]) ).

fof(f2707,plain,
    ( e5 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1005]) ).

fof(f1005,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f601]) ).

fof(f601,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax601) ).

fof(f6265,plain,
    ( ~ spl0_160
    | ~ spl0_30
    | ~ spl0_64
    | ~ spl0_248
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1829,f3315,f3895,f3017,f2866,f3457]) ).

fof(f1829,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f800]) ).

fof(f800,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5)
    | e1 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e0 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax403) ).

fof(f6264,plain,
    spl0_650,
    inference(avatar_split_clause,[],[f2390,f6261]) ).

fof(f6261,plain,
    ( spl0_650
  <=> op(op(e5,e5),e4) = op(e5,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f2390,plain,
    op(op(e5,e5),e4) = op(e5,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6259,plain,
    ( ~ spl0_34
    | ~ spl0_36
    | ~ spl0_298
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2049,f3096,f2875,f4187,f2891,f2883]) ).

fof(f2049,plain,
    ( e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f786]) ).

fof(f786,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f559]) ).

fof(f559,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax559) ).

fof(f6258,plain,
    spl0_615,
    inference(avatar_split_clause,[],[f2016,f6044]) ).

fof(f6044,plain,
    ( spl0_615
  <=> op(e2,e3) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f2016,plain,
    op(e2,e3) = op(e3,e2),
    inference(cnf_transformation,[],[f11]) ).

fof(f6257,plain,
    ( ~ spl0_111
    | ~ spl0_106
    | ~ spl0_163
    | ~ spl0_161
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2324,f3173,f3463,f3471,f3206,f3229]) ).

fof(f2324,plain,
    ( e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1171]) ).

fof(f1171,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

fof(f6256,plain,
    ( ~ spl0_79
    | ~ spl0_151
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f2738,f2749,f3575,f3571,f3417,f3082]) ).

fof(f2738,plain,
    ( e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f925]) ).

fof(f925,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f680]) ).

fof(f680,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(e0,e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax680) ).

fof(f6255,plain,
    spl0_649,
    inference(avatar_split_clause,[],[f2422,f6252]) ).

fof(f6252,plain,
    ( spl0_649
  <=> op(op(e1,e5),e4) = op(e1,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f2422,plain,
    op(op(e1,e5),e4) = op(e1,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6250,plain,
    ( ~ spl0_298
    | ~ spl0_99
    | ~ spl0_85
    | ~ spl0_83
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1834,f3225,f3100,f3108,f3173,f4187]) ).

fof(f1834,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1112]) ).

fof(f1112,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f603]) ).

fof(f603,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax603) ).

fof(f6249,plain,
    ( ~ spl0_17
    | ~ spl0_80
    | ~ spl0_22
    | ~ spl0_203
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f1457,f3986,f3665,f2833,f3087,f2810]) ).

fof(f1457,plain,
    ( e4 != op(e2,e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1083]) ).

fof(f1083,plain,
    ( e4 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f154]) ).

fof(f154,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(e2,e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).

fof(f6248,plain,
    spl0_648,
    inference(avatar_split_clause,[],[f2413,f6245]) ).

fof(f6245,plain,
    ( spl0_648
  <=> op(op(e2,e4),e3) = op(e2,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f2413,plain,
    op(op(e2,e4),e3) = op(e2,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6243,plain,
    ( ~ spl0_161
    | ~ spl0_84
    | ~ spl0_35
    | ~ spl0_106
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2732,f2891,f3206,f2887,f3104,f3463]) ).

fof(f2732,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f913,plain,
    ( e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f715]) ).

fof(f715,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax715) ).

fof(f6242,plain,
    ( ~ spl0_77
    | ~ spl0_224
    | ~ spl0_164
    | ~ spl0_5
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2694,f3778,f2757,f3476,f3774,f3074]) ).

fof(f2694,plain,
    ( e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f793]) ).

fof(f793,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f454]) ).

fof(f454,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(e0,e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax454) ).

fof(f6241,plain,
    ( ~ spl0_82
    | ~ spl0_86
    | ~ spl0_34
    | ~ spl0_111
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2585,f3221,f3229,f2883,f3112,f3096]) ).

fof(f2585,plain,
    ( e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1136]) ).

fof(f1136,plain,
    ( e2 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e5 = op(e3,e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(f6240,plain,
    ~ spl0_647,
    inference(avatar_split_clause,[],[f1634,f6237]) ).

fof(f6237,plain,
    ( spl0_647
  <=> op(e0,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f1634,plain,
    op(e0,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6235,plain,
    spl0_646,
    inference(avatar_split_clause,[],[f2342,f6232]) ).

fof(f6232,plain,
    ( spl0_646
  <=> op(op(e5,e5),e1) = op(e5,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f2342,plain,
    op(op(e5,e5),e1) = op(e5,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6230,plain,
    ( ~ spl0_15
    | ~ spl0_177
    | ~ spl0_223
    | ~ spl0_203
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2113,f3547,f3665,f3769,f3543,f2802]) ).

fof(f2113,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1246]) ).

fof(f1246,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f585]) ).

fof(f585,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax585) ).

fof(f6229,plain,
    ( ~ spl0_64
    | ~ spl0_248
    | ~ spl0_26
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1791,f3506,f3315,f2850,f3895,f3017]) ).

fof(f1791,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1040]) ).

fof(f1040,plain,
    ( e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f405,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e4 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax405) ).

fof(f6228,plain,
    ( ~ spl0_178
    | ~ spl0_24
    | ~ spl0_16
    | ~ spl0_179
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f2271,f2814,f3551,f2806,f2841,f3547]) ).

fof(f2271,plain,
    ( e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ( e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f719]) ).

fof(f719,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax719) ).

fof(f6227,plain,
    ~ spl0_645,
    inference(avatar_split_clause,[],[f1493,f6224]) ).

fof(f6224,plain,
    ( spl0_645
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f1493,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f6222,plain,
    ( ~ spl0_110
    | ~ spl0_35
    | ~ spl0_111
    | ~ spl0_227
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2593,f3108,f3789,f3229,f2887,f3225]) ).

fof(f2593,plain,
    ( e1 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1260]) ).

fof(f1260,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ~ ( e4 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e1 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f6221,plain,
    ( ~ spl0_203
    | ~ spl0_206
    | ~ spl0_205
    | ~ spl0_177
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2645,f2810,f3543,f3673,f3677,f3665]) ).

fof(f2645,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1036]) ).

fof(f1036,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f390]) ).

fof(f390,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(e2,e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax390) ).

fof(f6220,plain,
    spl0_644,
    inference(avatar_split_clause,[],[f2442,f6217]) ).

fof(f6217,plain,
    ( spl0_644
  <=> op(op(e2,e4),e4) = op(e2,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f2442,plain,
    op(op(e2,e4),e4) = op(e2,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6215,plain,
    ( ~ spl0_248
    | ~ spl0_170
    | ~ spl0_66
    | ~ spl0_29
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1507,f3017,f2862,f3025,f3506,f3895]) ).

fof(f1507,plain,
    ( e1 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1435]) ).

fof(f1435,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f525]) ).

fof(f525,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e3 = op(e5,e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax525) ).

fof(f6214,plain,
    ~ spl0_643,
    inference(avatar_split_clause,[],[f1549,f6211]) ).

fof(f6211,plain,
    ( spl0_643
  <=> op(e5,e4) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f1549,plain,
    op(e5,e4) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6209,plain,
    ( ~ spl0_53
    | ~ spl0_146
    | ~ spl0_180
    | ~ spl0_121
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2062,f3485,f3278,f3556,f3392,f2964]) ).

fof(f2062,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f956]) ).

fof(f956,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(e4,e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,axiom,
    ~ ( e1 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(e4,e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).

fof(f6208,plain,
    ( ~ spl0_81
    | ~ spl0_134
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2679,f2802,f2837,f2810,f3337,f3091]) ).

fof(f2679,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1251]) ).

fof(f1251,plain,
    ( e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f509]) ).

fof(f509,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax509) ).

fof(f6207,plain,
    ~ spl0_642,
    inference(avatar_split_clause,[],[f1637,f6204]) ).

fof(f6204,plain,
    ( spl0_642
  <=> op(e0,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f1637,plain,
    op(e0,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f6202,plain,
    ( spl0_636
    | spl0_637
    | spl0_638
    | spl0_639
    | spl0_640
    | spl0_641 ),
    inference(avatar_split_clause,[],[f2186,f6199,f6195,f6191,f6187,f6183,f6179]) ).

fof(f6179,plain,
    ( spl0_636
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f6183,plain,
    ( spl0_637
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f6187,plain,
    ( spl0_638
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f6191,plain,
    ( spl0_639
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f6195,plain,
    ( spl0_640
  <=> e5 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f6199,plain,
    ( spl0_641
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f2186,plain,
    ( e0 = op(e4,e1)
    | e5 = op(e4,e1)
    | e3 = op(e4,e1)
    | e4 = op(e4,e1)
    | e1 = op(e4,e1)
    | e2 = op(e4,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6177,plain,
    ( ~ spl0_91
    | ~ spl0_77
    | ~ spl0_5
    | ~ spl0_78
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1520,f3070,f3078,f2757,f3074,f3134]) ).

fof(f1520,plain,
    ( op(e0,e0) != e2
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1374]) ).

fof(f1374,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2
    | e5 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f476]) ).

fof(f476,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e2
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax476) ).

fof(f6176,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_168
    | ~ spl0_184
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f2275,f2749,f3575,f3495,f2761,f2753]) ).

fof(f2275,plain,
    ( e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e4
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1011]) ).

fof(f1011,plain,
    ( e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f178,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e4
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax178) ).

fof(f6175,plain,
    ( ~ spl0_102
    | ~ spl0_70
    | ~ spl0_68
    | ~ spl0_187
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2652,f3183,f3591,f3035,f3043,f3187]) ).

fof(f2652,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1298]) ).

fof(f1298,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f701]) ).

fof(f701,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e4 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax701) ).

fof(f6174,plain,
    spl0_635,
    inference(avatar_split_clause,[],[f2407,f6171]) ).

fof(f6171,plain,
    ( spl0_635
  <=> op(op(e2,e4),e5) = op(e2,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f2407,plain,
    op(op(e2,e4),e5) = op(e2,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6169,plain,
    ( ~ spl0_177
    | ~ spl0_206
    | ~ spl0_117
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1822,f2810,f2818,f3257,f3677,f3543]) ).

fof(f1822,plain,
    ( e0 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1186]) ).

fof(f1186,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f384]) ).

fof(f384,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax384) ).

fof(f6168,plain,
    ( ~ spl0_168
    | ~ spl0_76
    | ~ spl0_184
    | ~ spl0_91
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1910,f3417,f3134,f3575,f3070,f3495]) ).

fof(f1910,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1122]) ).

fof(f1122,plain,
    ( e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f248]) ).

fof(f248,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(e0,e0),e0)
      & op(e0,e0) = e2
      & e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax248) ).

fof(f6167,plain,
    ( ~ spl0_46
    | ~ spl0_70
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1479,f2771,f2943,f2939,f3043,f2935]) ).

fof(f1479,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1146]) ).

fof(f1146,plain,
    ( e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1) ),
    inference(ennf_transformation,[],[f394]) ).

fof(f394,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(e1,e1)
      & e5 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax394) ).

fof(f6166,plain,
    ( ~ spl0_22
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_205
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2105,f3091,f3673,f2837,f2810,f2833]) ).

fof(f2105,plain,
    ( e5 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1050]) ).

fof(f1050,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f142,axiom,
    ~ ( e5 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).

fof(f6165,plain,
    ( ~ spl0_48
    | ~ spl0_45
    | ~ spl0_73
    | ~ spl0_68
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2297,f3447,f3035,f3056,f2931,f2943]) ).

fof(f2297,plain,
    ( e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f911]) ).

fof(f911,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f502]) ).

fof(f502,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax502) ).

fof(f6164,plain,
    ( ~ spl0_209
    | ~ spl0_210
    | ~ spl0_143
    | ~ spl0_180
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2607,f3367,f3556,f3380,f3699,f3695]) ).

fof(f2607,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1233]) ).

fof(f1233,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f321]) ).

fof(f321,axiom,
    ~ ( e1 = op(e4,e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax321) ).

fof(f6163,plain,
    ( ~ spl0_105
    | ~ spl0_36
    | ~ spl0_99
    | ~ spl0_188
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2584,f3225,f3597,f3173,f2891,f3202]) ).

fof(f2584,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1076]) ).

fof(f1076,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f234]) ).

fof(f234,axiom,
    ~ ( e0 = op(e3,e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax234) ).

fof(f6162,plain,
    ( ~ spl0_135
    | ~ spl0_133
    | ~ spl0_80
    | ~ spl0_177
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2221,f3257,f3543,f3087,f3333,f3341]) ).

fof(f2221,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1317]) ).

fof(f1317,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f126,axiom,
    ~ ( e1 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).

fof(f6161,plain,
    ~ spl0_634,
    inference(avatar_split_clause,[],[f1602,f6158]) ).

fof(f6158,plain,
    ( spl0_634
  <=> op(e2,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f1602,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6156,plain,
    ( ~ spl0_122
    | ~ spl0_143
    | ~ spl0_258
    | ~ spl0_209
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1925,f3715,f3695,f3956,f3380,f3282]) ).

fof(f1925,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f830]) ).

fof(f830,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(e4,e4),e4)
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f306]) ).

fof(f306,axiom,
    ~ ( e0 = op(e4,e4)
      & e3 = op(op(e4,e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax306) ).

fof(f6155,plain,
    ( ~ spl0_64
    | ~ spl0_66
    | ~ spl0_29
    | ~ spl0_278
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2559,f3013,f4076,f2862,f3025,f3017]) ).

fof(f2559,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f969]) ).

fof(f969,plain,
    ( e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f519]) ).

fof(f519,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax519) ).

fof(f6154,plain,
    ~ spl0_633,
    inference(avatar_split_clause,[],[f1603,f6151]) ).

fof(f6151,plain,
    ( spl0_633
  <=> op(e4,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f1603,plain,
    op(e4,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6149,plain,
    ~ spl0_632,
    inference(avatar_split_clause,[],[f1694,f6146]) ).

fof(f6146,plain,
    ( spl0_632
  <=> op(e2,e1) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f1694,plain,
    op(e2,e1) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6144,plain,
    spl0_631,
    inference(avatar_split_clause,[],[f2536,f6141]) ).

fof(f6141,plain,
    ( spl0_631
  <=> op(op(e4,e5),e4) = op(e4,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f2536,plain,
    op(op(e4,e5),e4) = op(e4,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6139,plain,
    ~ spl0_630,
    inference(avatar_split_clause,[],[f1589,f6136]) ).

fof(f6136,plain,
    ( spl0_630
  <=> op(e2,e2) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f1589,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6134,plain,
    ( ~ spl0_132
    | ~ spl0_131
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2702,f3320,f3052,f3039,f3324,f3328]) ).

fof(f2702,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1328]) ).

fof(f1328,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f336]) ).

fof(f336,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax336) ).

fof(f6133,plain,
    ~ spl0_629,
    inference(avatar_split_clause,[],[f1595,f6130]) ).

fof(f6130,plain,
    ( spl0_629
  <=> op(e1,e1) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f1595,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6128,plain,
    ( ~ spl0_10
    | ~ spl0_221
    | ~ spl0_101
    | ~ spl0_49
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2214,f2783,f2947,f3183,f3757,f2779]) ).

fof(f2214,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1367]) ).

fof(f1367,plain,
    ( e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f662]) ).

fof(f662,axiom,
    ~ ( e3 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax662) ).

fof(f6127,plain,
    ( ~ spl0_90
    | ~ spl0_79
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f2133,f2749,f3078,f3074,f3082,f3130]) ).

fof(f2133,plain,
    ( e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f1245]) ).

fof(f1245,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f668]) ).

fof(f668,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax668) ).

fof(f6126,plain,
    ( spl0_230
    | ~ spl0_463 ),
    inference(avatar_split_clause,[],[f2090,f5134,f3804]) ).

fof(f3804,plain,
    ( spl0_230
  <=> e5 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f2090,plain,
    ( e0 != inv(e5)
    | e5 = inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6125,plain,
    ( ~ spl0_124
    | ~ spl0_34
    | ~ spl0_84
    | ~ spl0_163
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1851,f3096,f3471,f3104,f2883,f3291]) ).

fof(f1851,plain,
    ( e2 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f943]) ).

fof(f943,plain,
    ( e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f665]) ).

fof(f665,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax665) ).

fof(f6124,plain,
    ( spl0_42
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f2094,f5875,f2918]) ).

fof(f2918,plain,
    ( spl0_42
  <=> e4 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2094,plain,
    ( e3 != inv(e4)
    | e4 = inv(e3) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6123,plain,
    ( ~ spl0_151
    | ~ spl0_183
    | ~ spl0_3
    | ~ spl0_112
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1984,f2757,f3234,f2749,f3571,f3417]) ).

fof(f1984,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1007]) ).

fof(f1007,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f434]) ).

fof(f434,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e1
      & e4 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax434) ).

fof(f6122,plain,
    ( spl0_623
    | spl0_624
    | spl0_625
    | spl0_626
    | spl0_627
    | spl0_628 ),
    inference(avatar_split_clause,[],[f2190,f6119,f6115,f6111,f6107,f6103,f6099]) ).

fof(f6099,plain,
    ( spl0_623
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f6103,plain,
    ( spl0_624
  <=> e5 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f6107,plain,
    ( spl0_625
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f6111,plain,
    ( spl0_626
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f6115,plain,
    ( spl0_627
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f6119,plain,
    ( spl0_628
  <=> e4 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f2190,plain,
    ( e4 = op(e3,e4)
    | e0 = op(e3,e4)
    | e2 = op(e3,e4)
    | e3 = op(e3,e4)
    | e5 = op(e3,e4)
    | e1 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6097,plain,
    ( ~ spl0_5
    | ~ spl0_91
    | ~ spl0_88
    | ~ spl0_78
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2288,f3571,f3078,f3122,f3134,f2757]) ).

fof(f2288,plain,
    ( op(e0,e0) != e1
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1137]) ).

fof(f1137,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f482]) ).

fof(f482,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e1
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax482) ).

fof(f6096,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_220
    | ~ spl0_102
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1912,f2775,f3187,f3753,f3039,f3048]) ).

fof(f1912,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1057]) ).

fof(f1057,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f6095,plain,
    ( spl0_6
    | spl0_90
    | spl0_164
    | spl0_183
    | spl0_622
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2191,f3070,f6092,f3571,f3476,f3130,f2761]) ).

fof(f6092,plain,
    ( spl0_622
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f2191,plain,
    ( op(e0,e0) = e2
    | e0 = op(e0,e0)
    | op(e0,e0) = e1
    | op(e0,e0) = e5
    | op(e0,e0) = e3
    | op(e0,e0) = e4 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6090,plain,
    ( ~ spl0_278
    | ~ spl0_26
    | ~ spl0_64
    | ~ spl0_247
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1859,f3155,f3891,f3017,f2850,f4076]) ).

fof(f1859,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e4 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f869]) ).

fof(f869,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f279]) ).

fof(f279,axiom,
    ~ ( e4 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax279) ).

fof(f6089,plain,
    ( ~ spl0_110
    | ~ spl0_35
    | ~ spl0_84
    | ~ spl0_85
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1716,f3100,f3108,f3104,f2887,f3225]) ).

fof(f1716,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1193]) ).

fof(f1193,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f723]) ).

fof(f723,axiom,
    ~ ( e4 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax723) ).

fof(f6088,plain,
    ( ~ spl0_177
    | ~ spl0_17
    | ~ spl0_23
    | ~ spl0_179
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2267,f3673,f3551,f2837,f2810,f3543]) ).

fof(f2267,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f951]) ).

fof(f951,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f624]) ).

fof(f624,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax624) ).

fof(f6087,plain,
    ~ spl0_621,
    inference(avatar_split_clause,[],[f1645,f6084]) ).

fof(f6084,plain,
    ( spl0_621
  <=> op(e2,e0) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f1645,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6082,plain,
    spl0_620,
    inference(avatar_split_clause,[],[f2366,f6079]) ).

fof(f6079,plain,
    ( spl0_620
  <=> op(op(e4,e4),e4) = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f2366,plain,
    op(op(e4,e4),e4) = op(e4,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6077,plain,
    ( ~ spl0_106
    | ~ spl0_84
    | ~ spl0_123
    | ~ spl0_105
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1970,f3467,f3202,f3287,f3104,f3206]) ).

fof(f1970,plain,
    ( e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1344]) ).

fof(f1344,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f612]) ).

fof(f612,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax612) ).

fof(f6076,plain,
    ( ~ spl0_142
    | ~ spl0_180
    | ~ spl0_141
    | ~ spl0_146
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1992,f2968,f3392,f3371,f3556,f3375]) ).

fof(f1992,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1179]) ).

fof(f1179,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f469]) ).

fof(f469,axiom,
    ~ ( e0 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(e4,e4),e4)
      & e1 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax469) ).

fof(f6075,plain,
    ( ~ spl0_133
    | ~ spl0_15
    | ~ spl0_309
    | ~ spl0_134
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f2136,f2814,f3337,f4248,f2802,f3333]) ).

fof(f2136,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1043]) ).

fof(f1043,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f593]) ).

fof(f593,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2)
      & e5 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax593) ).

fof(f6074,plain,
    ~ spl0_619,
    inference(avatar_split_clause,[],[f1577,f6071]) ).

fof(f6071,plain,
    ( spl0_619
  <=> op(e4,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f1577,plain,
    op(e4,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6069,plain,
    spl0_618,
    inference(avatar_split_clause,[],[f2367,f6066]) ).

fof(f6066,plain,
    ( spl0_618
  <=> op(op(e2,e5),e5) = op(e2,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f2367,plain,
    op(op(e2,e5),e5) = op(e2,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6064,plain,
    ( ~ spl0_141
    | ~ spl0_258
    | ~ spl0_146
    | ~ spl0_142
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2660,f3282,f3375,f3392,f3956,f3371]) ).

fof(f2660,plain,
    ( e0 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1377]) ).

fof(f1377,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f475]) ).

fof(f475,axiom,
    ~ ( e5 = op(op(e4,e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax475) ).

fof(f6063,plain,
    ( ~ spl0_187
    | ~ spl0_68
    | ~ spl0_72
    | ~ spl0_49
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2621,f3183,f2947,f3052,f3035,f3591]) ).

fof(f2621,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1250]) ).

fof(f1250,plain,
    ( e3 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f725]) ).

fof(f725,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax725) ).

fof(f6062,plain,
    ~ spl0_617,
    inference(avatar_split_clause,[],[f1695,f6059]) ).

fof(f6059,plain,
    ( spl0_617
  <=> op(e0,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f1695,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f6057,plain,
    ~ spl0_616,
    inference(avatar_split_clause,[],[f1633,f6054]) ).

fof(f6054,plain,
    ( spl0_616
  <=> op(e2,e1) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f1633,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6052,plain,
    ( ~ spl0_124
    | ~ spl0_123
    | ~ spl0_99
    | ~ spl0_105
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1784,f3597,f3202,f3173,f3287,f3291]) ).

fof(f1784,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1352]) ).

fof(f1352,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f228]) ).

fof(f228,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax228) ).

fof(f6051,plain,
    ( ~ spl0_129
    | ~ spl0_26
    | ~ spl0_243
    | ~ spl0_96
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1465,f3013,f3159,f3868,f2850,f3315]) ).

fof(f1465,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f782]) ).

fof(f782,plain,
    ( e4 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f375]) ).

fof(f375,axiom,
    ~ ( e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e4 = op(e5,e5)
      & e0 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax375) ).

fof(f6050,plain,
    ( ~ spl0_209
    | ~ spl0_191
    | ~ spl0_166
    | ~ spl0_144
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1752,f3278,f3384,f3485,f3610,f3695]) ).

fof(f1752,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f801]) ).

fof(f801,plain,
    ( e3 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ~ ( e5 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(f6049,plain,
    ( ~ spl0_160
    | ~ spl0_243
    | ~ spl0_129
    | ~ spl0_96
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1485,f2858,f3159,f3315,f3868,f3457]) ).

fof(f1485,plain,
    ( e2 != op(e5,e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f1092,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f373]) ).

fof(f373,axiom,
    ~ ( e2 = op(e5,e5)
      & e0 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax373) ).

fof(f6048,plain,
    ( spl0_501
    | ~ spl0_355 ),
    inference(avatar_split_clause,[],[f2083,f4520,f5378]) ).

fof(f4520,plain,
    ( spl0_355
  <=> e5 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f2083,plain,
    ( e5 != inv(e1)
    | e1 = inv(e5) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f6047,plain,
    spl0_615,
    inference(avatar_split_clause,[],[f2023,f6044]) ).

fof(f2023,plain,
    op(e2,e3) = op(e3,e2),
    inference(cnf_transformation,[],[f11]) ).

fof(f6042,plain,
    ~ spl0_614,
    inference(avatar_split_clause,[],[f1626,f6039]) ).

fof(f6039,plain,
    ( spl0_614
  <=> op(e2,e4) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f1626,plain,
    op(e2,e4) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6037,plain,
    ( ~ spl0_82
    | ~ spl0_105
    | ~ spl0_84
    | ~ spl0_85
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2233,f3291,f3108,f3104,f3202,f3096]) ).

fof(f2233,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f773]) ).

fof(f773,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f660]) ).

fof(f660,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax660) ).

fof(f6036,plain,
    ( ~ spl0_97
    | ~ spl0_171
    | ~ spl0_150
    | ~ spl0_65
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2141,f2858,f3021,f3412,f3510,f3163]) ).

fof(f2141,plain,
    ( e2 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f766]) ).

fof(f766,plain,
    ( e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5)
      & e4 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).

fof(f6035,plain,
    ( ~ spl0_91
    | ~ spl0_107
    | ~ spl0_2
    | ~ spl0_90
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2150,f3417,f3130,f2745,f3211,f3134]) ).

fof(f2150,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1392]) ).

fof(f1392,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f370]) ).

fof(f370,axiom,
    ~ ( e5 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e3
      & e4 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax370) ).

fof(f6034,plain,
    ( ~ spl0_123
    | ~ spl0_35
    | ~ spl0_32
    | ~ spl0_188
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2620,f3100,f3597,f2875,f2887,f3287]) ).

fof(f2620,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f980]) ).

fof(f980,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f225]) ).

fof(f225,axiom,
    ~ ( e2 = op(e3,e3)
      & e4 = op(op(e3,e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax225) ).

fof(f6033,plain,
    ( ~ spl0_135
    | ~ spl0_81
    | ~ spl0_24
    | ~ spl0_16
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2158,f3087,f2806,f2841,f3091,f3341]) ).

fof(f2158,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1209]) ).

fof(f1209,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(e2,e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(f6032,plain,
    ~ spl0_613,
    inference(avatar_split_clause,[],[f1669,f6029]) ).

fof(f6029,plain,
    ( spl0_613
  <=> op(e1,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f1669,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6027,plain,
    spl0_612,
    inference(avatar_split_clause,[],[f1799,f6024]) ).

fof(f6024,plain,
    ( spl0_612
  <=> e2 = inv(inv(e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f1799,plain,
    e2 = inv(inv(e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e5 = inv(inv(e5))
    & e1 = inv(inv(e1))
    & e3 = inv(inv(e3))
    & e2 = inv(inv(e2))
    & e4 = inv(inv(e4))
    & e0 = inv(inv(e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f6022,plain,
    spl0_611,
    inference(avatar_split_clause,[],[f2357,f6019]) ).

fof(f6019,plain,
    ( spl0_611
  <=> op(op(e5,e4),e4) = op(e5,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f2357,plain,
    op(op(e5,e4),e4) = op(e5,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6017,plain,
    ( ~ spl0_114
    | ~ spl0_95
    | ~ spl0_113
    | ~ spl0_31
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1937,f3506,f2870,f3239,f3155,f3243]) ).

fof(f1937,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1151]) ).

fof(f1151,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f315]) ).

fof(f315,axiom,
    ~ ( e1 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax315) ).

fof(f6016,plain,
    ( ~ spl0_122
    | ~ spl0_258
    | ~ spl0_52
    | ~ spl0_142
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f2167,f3695,f3375,f2960,f3956,f3282]) ).

fof(f2167,plain,
    ( e3 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f811]) ).

fof(f811,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f691]) ).

fof(f691,axiom,
    ~ ( e1 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e0 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax691) ).

fof(f6015,plain,
    ( spl0_605
    | spl0_606
    | spl0_607
    | spl0_608
    | spl0_609
    | spl0_610 ),
    inference(avatar_split_clause,[],[f2180,f6012,f6008,f6004,f6000,f5996,f5992]) ).

fof(f5992,plain,
    ( spl0_605
  <=> e2 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f5996,plain,
    ( spl0_606
  <=> e3 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f6000,plain,
    ( spl0_607
  <=> e4 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f6004,plain,
    ( spl0_608
  <=> e5 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f6008,plain,
    ( spl0_609
  <=> e0 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f6012,plain,
    ( spl0_610
  <=> e1 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f2180,plain,
    ( e1 = op(e0,e5)
    | e0 = op(e0,e5)
    | e5 = op(e0,e5)
    | e4 = op(e0,e5)
    | e3 = op(e0,e5)
    | e2 = op(e0,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5990,plain,
    ( spl0_604
    | spl0_263
    | spl0_18
    | spl0_81
    | spl0_177
    | spl0_25 ),
    inference(avatar_split_clause,[],[f2199,f2845,f3543,f3091,f2814,f3986,f5987]) ).

fof(f5987,plain,
    ( spl0_604
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f2199,plain,
    ( e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e5 = op(e2,e2)
    | e3 = op(e2,e2)
    | e4 = op(e2,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5985,plain,
    ( ~ spl0_221
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_132
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2546,f2771,f3328,f2939,f2783,f3757]) ).

fof(f2546,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1333]) ).

fof(f1333,plain,
    ( e2 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f438]) ).

fof(f438,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(e1,e1),e1),e1)
      & e0 = op(e1,e1)
      & e2 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax438) ).

fof(f5984,plain,
    spl0_603,
    inference(avatar_split_clause,[],[f1802,f5981]) ).

fof(f5981,plain,
    ( spl0_603
  <=> e5 = inv(inv(e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f1802,plain,
    e5 = inv(inv(e5)),
    inference(cnf_transformation,[],[f6]) ).

fof(f5979,plain,
    spl0_602,
    inference(avatar_split_clause,[],[f2451,f5976]) ).

fof(f5976,plain,
    ( spl0_602
  <=> op(op(e0,e4),e4) = op(e0,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f2451,plain,
    op(op(e0,e4),e4) = op(e0,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5974,plain,
    ( ~ spl0_258
    | ~ spl0_145
    | ~ spl0_165
    | ~ spl0_213
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2041,f3485,f3715,f3481,f3388,f3956]) ).

fof(f2041,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1033]) ).

fof(f1033,plain,
    ( e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ~ ( e2 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f5973,plain,
    spl0_601,
    inference(avatar_split_clause,[],[f2460,f5970]) ).

fof(f5970,plain,
    ( spl0_601
  <=> op(op(e2,e0),e3) = op(e2,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f2460,plain,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5968,plain,
    ~ spl0_600,
    inference(avatar_split_clause,[],[f1570,f5965]) ).

fof(f5965,plain,
    ( spl0_600
  <=> op(e1,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f1570,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5963,plain,
    ( ~ spl0_114
    | ~ spl0_115
    | ~ spl0_63
    | ~ spl0_29
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1923,f3159,f2862,f3013,f3247,f3243]) ).

fof(f1923,plain,
    ( e0 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1342]) ).

fof(f1342,plain,
    ( e3 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f147,axiom,
    ~ ( e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).

fof(f5962,plain,
    ( ~ spl0_26
    | ~ spl0_97
    | ~ spl0_113
    | ~ spl0_248
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2715,f3412,f3895,f3239,f3163,f2850]) ).

fof(f2715,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f1409,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ~ ( e3 = op(op(e5,e5),e5)
      & e4 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f5961,plain,
    ( ~ spl0_165
    | ~ spl0_210
    | ~ spl0_258
    | ~ spl0_145
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1927,f2960,f3388,f3956,f3699,f3481]) ).

fof(f1927,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1200]) ).

fof(f1200,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4) ),
    inference(ennf_transformation,[],[f669]) ).

fof(f669,axiom,
    ~ ( e1 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax669) ).

fof(f5960,plain,
    ( ~ spl0_77
    | ~ spl0_184
    | ~ spl0_79
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f2135,f2761,f2749,f3082,f3575,f3074]) ).

fof(f2135,plain,
    ( op(e0,e0) != e4
    | e2 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f750]) ).

fof(f750,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e4
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f670]) ).

fof(f670,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e4
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax670) ).

fof(f5959,plain,
    ( ~ spl0_171
    | ~ spl0_63
    | ~ spl0_129
    | ~ spl0_278
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2625,f2870,f4076,f3315,f3013,f3510]) ).

fof(f2625,plain,
    ( e1 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f831]) ).

fof(f831,plain,
    ( e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5) ),
    inference(ennf_transformation,[],[f445]) ).

fof(f445,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax445) ).

fof(f5958,plain,
    ( ~ spl0_133
    | ~ spl0_23
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f1886,f3986,f3341,f3337,f2837,f3333]) ).

fof(f1886,plain,
    ( e4 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1213]) ).

fof(f1213,plain,
    ( e5 != op(op(e2,e2),e2)
    | e4 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f125,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).

fof(f5957,plain,
    ( ~ spl0_80
    | ~ spl0_179
    | ~ spl0_17
    | ~ spl0_16
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f2661,f3986,f2806,f2810,f3551,f3087]) ).

fof(f2661,plain,
    ( e4 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1211]) ).

fof(f1211,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f616]) ).

fof(f616,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax616) ).

fof(f5956,plain,
    ~ spl0_599,
    inference(avatar_split_clause,[],[f1554,f5953]) ).

fof(f5953,plain,
    ( spl0_599
  <=> op(e3,e0) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f1554,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5951,plain,
    ( ~ spl0_110
    | ~ spl0_35
    | ~ spl0_84
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2735,f2891,f2883,f3104,f2887,f3225]) ).

fof(f2735,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1071]) ).

fof(f1071,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f721]) ).

fof(f721,axiom,
    ~ ( e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax721) ).

fof(f5950,plain,
    spl0_598,
    inference(avatar_split_clause,[],[f2430,f5947]) ).

fof(f5947,plain,
    ( spl0_598
  <=> op(op(e1,e1),e0) = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f2430,plain,
    op(op(e1,e1),e0) = op(e1,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5945,plain,
    ( ~ spl0_309
    | ~ spl0_80
    | ~ spl0_24
    | ~ spl0_179
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2137,f3543,f3551,f2841,f3087,f4248]) ).

fof(f2137,plain,
    ( e1 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f799]) ).

fof(f799,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f708]) ).

fof(f708,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(e2,e2),e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax708) ).

fof(f5944,plain,
    ( ~ spl0_130
    | ~ spl0_46
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2721,f3447,f3052,f3048,f2935,f3320]) ).

fof(f2721,plain,
    ( e5 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f737]) ).

fof(f737,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(e1,e1)
      & e4 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).

fof(f5943,plain,
    ( ~ spl0_23
    | ~ spl0_81
    | ~ spl0_24
    | ~ spl0_178
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2649,f2833,f3547,f2841,f3091,f2837]) ).

fof(f2649,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1182]) ).

fof(f1182,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(e2,e2) ),
    inference(ennf_transformation,[],[f221]) ).

fof(f221,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e5 = op(e2,e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax221) ).

fof(f5942,plain,
    ( ~ spl0_114
    | ~ spl0_150
    | ~ spl0_28
    | ~ spl0_247
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1926,f3017,f3891,f2858,f3412,f3243]) ).

fof(f1926,plain,
    ( e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1155]) ).

fof(f1155,plain,
    ( e2 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f5941,plain,
    ( ~ spl0_161
    | ~ spl0_36
    | ~ spl0_298
    | ~ spl0_32
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2298,f3500,f2875,f4187,f2891,f3463]) ).

fof(f2298,plain,
    ( e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f809]) ).

fof(f809,plain,
    ( e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f535]) ).

fof(f535,axiom,
    ~ ( e0 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax535) ).

fof(f5940,plain,
    ( ~ spl0_18
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2219,f3341,f2841,f2818,f2806,f2814]) ).

fof(f2219,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f965]) ).

fof(f965,plain,
    ( e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ~ ( e3 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(f5939,plain,
    spl0_597,
    inference(avatar_split_clause,[],[f2500,f5936]) ).

fof(f5936,plain,
    ( spl0_597
  <=> op(op(e3,e2),e4) = op(e3,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f2500,plain,
    op(op(e3,e2),e4) = op(e3,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5934,plain,
    spl0_596,
    inference(avatar_split_clause,[],[f2468,f5931]) ).

fof(f5931,plain,
    ( spl0_596
  <=> op(op(e3,e0),e4) = op(e3,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f2468,plain,
    op(op(e3,e0),e4) = op(e3,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5929,plain,
    spl0_595,
    inference(avatar_split_clause,[],[f2347,f5926]) ).

fof(f5926,plain,
    ( spl0_595
  <=> op(op(e4,e3),e5) = op(e4,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f2347,plain,
    op(op(e4,e3),e5) = op(e4,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5924,plain,
    spl0_594,
    inference(avatar_split_clause,[],[f2491,f5921]) ).

fof(f5921,plain,
    ( spl0_594
  <=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f2491,plain,
    op(op(e1,e2),e2) = op(e1,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5919,plain,
    ( ~ spl0_52
    | ~ spl0_258
    | ~ spl0_209
    | ~ spl0_50
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f2709,f3699,f2952,f3695,f3956,f2960]) ).

fof(f2709,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f845]) ).

fof(f845,plain,
    ( e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f693]) ).

fof(f693,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(e4,e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax693) ).

fof(f5918,plain,
    ( ~ spl0_76
    | ~ spl0_184
    | ~ spl0_225
    | ~ spl0_79
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2147,f3074,f3082,f3778,f3575,f3070]) ).

fof(f2147,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f1145]) ).

fof(f1145,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f716]) ).

fof(f716,axiom,
    ~ ( op(e0,e0) = e2
      & e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax716) ).

fof(f5917,plain,
    ( ~ spl0_145
    | ~ spl0_212
    | ~ spl0_142
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2172,f3392,f2968,f3375,f3711,f3388]) ).

fof(f2172,plain,
    ( e5 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1000]) ).

fof(f1000,plain,
    ( e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f231]) ).

fof(f231,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(e4,e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax231) ).

fof(f5916,plain,
    ( ~ spl0_206
    | ~ spl0_178
    | ~ spl0_24
    | ~ spl0_177
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1880,f3665,f3543,f2841,f3547,f3677]) ).

fof(f1880,plain,
    ( e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f794]) ).

fof(f794,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f465]) ).

fof(f465,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax465) ).

fof(f5915,plain,
    spl0_593,
    inference(avatar_split_clause,[],[f2529,f5912]) ).

fof(f5912,plain,
    ( spl0_593
  <=> op(op(e1,e2),e0) = op(e1,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f2529,plain,
    op(op(e1,e2),e0) = op(e1,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5910,plain,
    ( ~ spl0_78
    | ~ spl0_88
    | ~ spl0_75
    | ~ spl0_164
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1857,f3495,f3476,f3066,f3122,f3078]) ).

fof(f1857,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1217]) ).

fof(f1217,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f190]) ).

fof(f190,axiom,
    ~ ( op(e0,e0) = e5
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax190) ).

fof(f5909,plain,
    ( ~ spl0_188
    | ~ spl0_161
    | ~ spl0_32
    | ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2261,f2891,f2887,f2875,f3463,f3597]) ).

fof(f2261,plain,
    ( e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1253]) ).

fof(f1253,plain,
    ( e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f223]) ).

fof(f223,axiom,
    ~ ( e5 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax223) ).

fof(f5908,plain,
    ( ~ spl0_51
    | ~ spl0_145
    | ~ spl0_140
    | ~ spl0_142
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2268,f3485,f3375,f3367,f3388,f2956]) ).

fof(f2268,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f878]) ).

fof(f878,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(f5907,plain,
    ( ~ spl0_54
    | ~ spl0_213
    | ~ spl0_145
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1720,f3380,f2956,f3388,f3715,f2968]) ).

fof(f1720,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f950]) ).

fof(f950,plain,
    ( e3 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f276]) ).

fof(f276,axiom,
    ~ ( e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(e4,e4)
      & e1 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax276) ).

fof(f5906,plain,
    spl0_592,
    inference(avatar_split_clause,[],[f2466,f5903]) ).

fof(f5903,plain,
    ( spl0_592
  <=> op(op(e4,e4),e5) = op(e4,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f2466,plain,
    op(op(e4,e4),e5) = op(e4,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5901,plain,
    ( ~ spl0_168
    | ~ spl0_224
    | ~ spl0_104
    | ~ spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1718,f2761,f3134,f3196,f3774,f3495]) ).

fof(f1718,plain,
    ( op(e0,e0) != e4
    | e5 != op(op(e0,e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1118]) ).

fof(f1118,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f244]) ).

fof(f244,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e4
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax244) ).

fof(f5900,plain,
    spl0_591,
    inference(avatar_split_clause,[],[f2539,f5897]) ).

fof(f5897,plain,
    ( spl0_591
  <=> op(op(e5,e4),e5) = op(e5,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f2539,plain,
    op(op(e5,e4),e5) = op(e5,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5895,plain,
    spl0_590,
    inference(avatar_split_clause,[],[f2480,f5892]) ).

fof(f5892,plain,
    ( spl0_590
  <=> op(op(e3,e5),e3) = op(e3,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f2480,plain,
    op(op(e3,e5),e3) = op(e3,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5890,plain,
    ~ spl0_589,
    inference(avatar_split_clause,[],[f1735,f5887]) ).

fof(f5887,plain,
    ( spl0_589
  <=> inv(e0) = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f1735,plain,
    inv(e0) != inv(e2),
    inference(cnf_transformation,[],[f8]) ).

fof(f5885,plain,
    ( ~ spl0_52
    | ~ spl0_51
    | ~ spl0_190
    | ~ spl0_210
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f2323,f2952,f3699,f3606,f2956,f2960]) ).

fof(f2323,plain,
    ( e2 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f862]) ).

fof(f862,plain,
    ( e1 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f651]) ).

fof(f651,axiom,
    ~ ( e2 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax651) ).

fof(f5884,plain,
    ( ~ spl0_111
    | ~ spl0_32
    | ~ spl0_34
    | ~ spl0_163
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2723,f3096,f3471,f2883,f2875,f3229]) ).

fof(f2723,plain,
    ( e2 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1194]) ).

fof(f1194,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ~ ( e4 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f5883,plain,
    ( ~ spl0_263
    | ~ spl0_223
    | ~ spl0_16
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2545,f3551,f3547,f2806,f3769,f3986]) ).

fof(f2545,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f935]) ).

fof(f935,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f695]) ).

fof(f695,axiom,
    ~ ( e4 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax695) ).

fof(f5882,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_73
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f2685,f2931,f3056,f2787,f2779,f2775]) ).

fof(f2685,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1129]) ).

fof(f1129,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f590]) ).

fof(f590,axiom,
    ~ ( e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax590) ).

fof(f5881,plain,
    ( ~ spl0_6
    | ~ spl0_224
    | ~ spl0_103
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1948,f2757,f2753,f3192,f3774,f2761]) ).

fof(f1948,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f1425]) ).

fof(f1425,plain,
    ( e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f418]) ).

fof(f418,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax418) ).

fof(f5880,plain,
    ( ~ spl0_220
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_9
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1870,f3056,f2775,f3048,f2787,f3753]) ).

fof(f1870,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1109]) ).

fof(f1109,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f128,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).

fof(f5879,plain,
    ( ~ spl0_69
    | ~ spl0_45
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1979,f3187,f2779,f2775,f2931,f3039]) ).

fof(f1979,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f816]) ).

fof(f816,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f566]) ).

fof(f566,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax566) ).

fof(f5878,plain,
    ( ~ spl0_42
    | spl0_588 ),
    inference(avatar_split_clause,[],[f2091,f5875,f2918]) ).

fof(f2091,plain,
    ( e3 = inv(e4)
    | e4 != inv(e3) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5873,plain,
    ( ~ spl0_142
    | ~ spl0_189
    | ~ spl0_141
    | ~ spl0_191
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f1789,f3956,f3610,f3371,f3602,f3375]) ).

fof(f1789,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1252]) ).

fof(f1252,plain,
    ( e5 != op(e4,e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f377]) ).

fof(f377,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(e4,e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax377) ).

fof(f5872,plain,
    ( ~ spl0_103
    | ~ spl0_89
    | ~ spl0_104
    | ~ spl0_76
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2544,f3234,f3070,f3196,f3126,f3192]) ).

fof(f2544,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f844]) ).

fof(f844,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f530]) ).

fof(f530,axiom,
    ~ ( e3 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax530) ).

fof(f5871,plain,
    ( ~ spl0_23
    | ~ spl0_204
    | ~ spl0_81
    | ~ spl0_205
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2564,f3341,f3673,f3091,f3669,f2837]) ).

fof(f2564,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1154]) ).

fof(f1154,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f5870,plain,
    ( ~ spl0_12
    | ~ spl0_70
    | ~ spl0_46
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2729,f3320,f3048,f2935,f3043,f2787]) ).

fof(f2729,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f855]) ).

fof(f855,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e4 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).

fof(f5869,plain,
    spl0_587,
    inference(avatar_split_clause,[],[f2376,f5866]) ).

fof(f5866,plain,
    ( spl0_587
  <=> op(op(e0,e4),e0) = op(e0,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f2376,plain,
    op(op(e0,e4),e0) = op(e0,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5864,plain,
    ( ~ spl0_101
    | ~ spl0_70
    | ~ spl0_221
    | ~ spl0_187
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1813,f3320,f3591,f3757,f3043,f3183]) ).

fof(f1813,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f937]) ).

fof(f937,plain,
    ( e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f677]) ).

fof(f677,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e4 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax677) ).

fof(f5863,plain,
    spl0_586,
    inference(avatar_split_clause,[],[f2405,f5860]) ).

fof(f5860,plain,
    ( spl0_586
  <=> op(op(e4,e5),e5) = op(e4,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f2405,plain,
    op(op(e4,e5),e5) = op(e4,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5858,plain,
    ( ~ spl0_8
    | ~ spl0_72
    | ~ spl0_68
    | ~ spl0_158
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1777,f3591,f3447,f3035,f3052,f2771]) ).

fof(f1777,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1345]) ).

fof(f1345,plain,
    ( e5 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f461]) ).

fof(f461,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax461) ).

fof(f5857,plain,
    ( ~ spl0_11
    | ~ spl0_130
    | ~ spl0_158
    | ~ spl0_48
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1989,f3324,f2943,f3447,f3320,f2783]) ).

fof(f1989,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1058]) ).

fof(f1058,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f262,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax262) ).

fof(f5856,plain,
    ( ~ spl0_6
    | ~ spl0_75
    | ~ spl0_79
    | ~ spl0_77
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f2281,f3774,f3074,f3082,f3066,f2761]) ).

fof(f2281,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f889]) ).

fof(f889,plain,
    ( op(e0,e0) != e4
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f694]) ).

fof(f694,axiom,
    ~ ( op(e0,e0) = e4
      & e1 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax694) ).

fof(f5855,plain,
    ( ~ spl0_404
    | spl0_239 ),
    inference(avatar_split_clause,[],[f2068,f3849,f4811]) ).

fof(f3849,plain,
    ( spl0_239
  <=> e5 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f2068,plain,
    ( e5 = inv(e2)
    | e2 != inv(e5) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5854,plain,
    ( ~ spl0_31
    | ~ spl0_96
    | ~ spl0_95
    | ~ spl0_114
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f2259,f3891,f3243,f3155,f3159,f2870]) ).

fof(f2259,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5)
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f732]) ).

fof(f732,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f265]) ).

fof(f265,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(e5,e5),e5)
      & e4 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax265) ).

fof(f5853,plain,
    ( ~ spl0_225
    | ~ spl0_112
    | ~ spl0_77
    | ~ spl0_76
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1858,f2757,f3070,f3074,f3234,f3778]) ).

fof(f1858,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1027]) ).

fof(f1027,plain,
    ( op(e0,e0) != e2
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f452]) ).

fof(f452,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e2
      & e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax452) ).

fof(f5852,plain,
    ( ~ spl0_132
    | ~ spl0_73
    | ~ spl0_47
    | ~ spl0_221
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1811,f2931,f3757,f2939,f3056,f3328]) ).

fof(f1811,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1363]) ).

fof(f1363,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f558]) ).

fof(f558,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(e1,e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax558) ).

fof(f5851,plain,
    ( ~ spl0_209
    | ~ spl0_121
    | ~ spl0_191
    | ~ spl0_210
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f2273,f3711,f3699,f3610,f3278,f3695]) ).

fof(f2273,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1035]) ).

fof(f1035,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f191]) ).

fof(f191,axiom,
    ~ ( e2 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(e4,e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax191) ).

fof(f5850,plain,
    ~ spl0_585,
    inference(avatar_split_clause,[],[f1624,f5847]) ).

fof(f5847,plain,
    ( spl0_585
  <=> op(e1,e1) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f1624,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5845,plain,
    ~ spl0_584,
    inference(avatar_split_clause,[],[f1647,f5842]) ).

fof(f5842,plain,
    ( spl0_584
  <=> op(e0,e4) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f1647,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5840,plain,
    ~ spl0_583,
    inference(avatar_split_clause,[],[f1593,f5837]) ).

fof(f5837,plain,
    ( spl0_583
  <=> op(e1,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f1593,plain,
    op(e1,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5835,plain,
    spl0_582,
    inference(avatar_split_clause,[],[f2335,f5832]) ).

fof(f5832,plain,
    ( spl0_582
  <=> op(op(e4,e4),e0) = op(e4,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f2335,plain,
    op(op(e4,e4),e0) = op(e4,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5830,plain,
    spl0_581,
    inference(avatar_split_clause,[],[f2330,f5827]) ).

fof(f5827,plain,
    ( spl0_581
  <=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f2330,plain,
    op(op(e3,e3),e2) = op(e3,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5825,plain,
    ( ~ spl0_161
    | ~ spl0_35
    | ~ spl0_85
    | ~ spl0_124
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2667,f3104,f3291,f3108,f2887,f3463]) ).

fof(f2667,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f837]) ).

fof(f837,plain,
    ( e1 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f709]) ).

fof(f709,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax709) ).

fof(f5824,plain,
    ( ~ spl0_73
    | ~ spl0_101
    | ~ spl0_72
    | ~ spl0_68
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1839,f3328,f3035,f3052,f3183,f3056]) ).

fof(f1839,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1402]) ).

fof(f1402,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f720]) ).

fof(f720,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax720) ).

fof(f5823,plain,
    ~ spl0_580,
    inference(avatar_split_clause,[],[f1704,f5820]) ).

fof(f5820,plain,
    ( spl0_580
  <=> op(e2,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f1704,plain,
    op(e2,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5818,plain,
    ( ~ spl0_179
    | ~ spl0_25
    | ~ spl0_117
    | ~ spl0_80
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f2151,f3669,f3087,f3257,f2845,f3551]) ).

fof(f2151,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1286]) ).

fof(f1286,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f654]) ).

fof(f654,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax654) ).

fof(f5817,plain,
    ( ~ spl0_101
    | ~ spl0_102
    | ~ spl0_132
    | ~ spl0_220
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2123,f2935,f3753,f3328,f3187,f3183]) ).

fof(f2123,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f840]) ).

fof(f840,plain,
    ( e0 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f702]) ).

fof(f702,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax702) ).

fof(f5816,plain,
    ( ~ spl0_9
    | ~ spl0_8
    | ~ spl0_220
    | ~ spl0_12
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1810,f3591,f2787,f3753,f2771,f2775]) ).

fof(f1810,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f993]) ).

fof(f993,plain,
    ( e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f491]) ).

fof(f491,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(e1,e1)
      & e5 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax491) ).

fof(f5815,plain,
    ( ~ spl0_31
    | ~ spl0_170
    | ~ spl0_248
    | ~ spl0_113
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2651,f3025,f3239,f3895,f3506,f2870]) ).

fof(f2651,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1089]) ).

fof(f1089,plain,
    ( e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f579]) ).

fof(f579,axiom,
    ~ ( e2 = op(op(op(e5,e5),e5),e5)
      & e1 = op(e5,e5)
      & e3 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax579) ).

fof(f5814,plain,
    ( spl0_231
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f2072,f5811,f3808]) ).

fof(f2072,plain,
    ( e0 != inv(e4)
    | e4 = inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5809,plain,
    ( ~ spl0_83
    | ~ spl0_123
    | ~ spl0_84
    | ~ spl0_86
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2276,f3500,f3112,f3104,f3287,f3100]) ).

fof(f2276,plain,
    ( e1 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1143]) ).

fof(f1143,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f657]) ).

fof(f657,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax657) ).

fof(f5808,plain,
    ( ~ spl0_175
    | ~ spl0_97
    | ~ spl0_65
    | ~ spl0_150
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2132,f2850,f3412,f3021,f3163,f3532]) ).

fof(f2132,plain,
    ( e4 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1433]) ).

fof(f1433,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ~ ( e2 = op(op(e5,e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f5807,plain,
    ( ~ spl0_3
    | ~ spl0_104
    | ~ spl0_6
    | ~ spl0_2
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2140,f3082,f2745,f2761,f3196,f2749]) ).

fof(f2140,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1408]) ).

fof(f1408,plain,
    ( e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e4
    | e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f676]) ).

fof(f676,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e4
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax676) ).

fof(f5806,plain,
    ~ spl0_578,
    inference(avatar_split_clause,[],[f1664,f5803]) ).

fof(f5803,plain,
    ( spl0_578
  <=> op(e4,e0) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f1664,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5801,plain,
    ( ~ spl0_77
    | ~ spl0_184
    | ~ spl0_107
    | ~ spl0_6
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2663,f3134,f2761,f3211,f3575,f3074]) ).

fof(f2663,plain,
    ( e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e4
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1004]) ).

fof(f1004,plain,
    ( op(e0,e0) != e4
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f358]) ).

fof(f358,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e4
      & e5 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax358) ).

fof(f5800,plain,
    ( ~ spl0_210
    | ~ spl0_258
    | ~ spl0_165
    | ~ spl0_141
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f2557,f3610,f3371,f3481,f3956,f3699]) ).

fof(f2557,plain,
    ( e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1422]) ).

fof(f1422,plain,
    ( e5 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f431]) ).

fof(f431,axiom,
    ~ ( e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4)
      & e5 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax431) ).

fof(f5799,plain,
    ~ spl0_577,
    inference(avatar_split_clause,[],[f1688,f5796]) ).

fof(f5796,plain,
    ( spl0_577
  <=> op(e1,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f1688,plain,
    op(e1,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5794,plain,
    spl0_576,
    inference(avatar_split_clause,[],[f2525,f5791]) ).

fof(f5791,plain,
    ( spl0_576
  <=> op(op(e4,e4),e1) = op(e4,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f2525,plain,
    op(op(e4,e4),e1) = op(e4,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5789,plain,
    ( ~ spl0_212
    | ~ spl0_191
    | ~ spl0_53
    | ~ spl0_121
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2543,f3602,f3278,f2964,f3610,f3711]) ).

fof(f2543,plain,
    ( e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1284]) ).

fof(f1284,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f137,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(e4,e4),e4),e4)
      & e5 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).

fof(f5788,plain,
    ~ spl0_575,
    inference(avatar_split_clause,[],[f1590,f5785]) ).

fof(f5785,plain,
    ( spl0_575
  <=> op(e1,e0) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f1590,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5783,plain,
    ( spl0_569
    | spl0_570
    | spl0_571
    | spl0_572
    | spl0_573
    | spl0_574 ),
    inference(avatar_split_clause,[],[f2200,f5780,f5776,f5772,f5768,f5764,f5760]) ).

fof(f5760,plain,
    ( spl0_569
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f5764,plain,
    ( spl0_570
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f5768,plain,
    ( spl0_571
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f5772,plain,
    ( spl0_572
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f5776,plain,
    ( spl0_573
  <=> e5 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f5780,plain,
    ( spl0_574
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f2200,plain,
    ( e4 = op(e1,e4)
    | e5 = op(e1,e4)
    | e0 = op(e1,e4)
    | e1 = op(e1,e4)
    | e2 = op(e1,e4)
    | e3 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5758,plain,
    ( ~ spl0_247
    | ~ spl0_278
    | ~ spl0_31
    | ~ spl0_175
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2687,f3025,f3532,f2870,f4076,f3891]) ).

fof(f2687,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f992]) ).

fof(f992,plain,
    ( e1 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f541]) ).

fof(f541,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e1 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax541) ).

fof(f5757,plain,
    ( ~ spl0_247
    | ~ spl0_31
    | ~ spl0_248
    | ~ spl0_66
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1866,f3159,f3025,f3895,f2870,f3891]) ).

fof(f1866,plain,
    ( e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1434]) ).

fof(f1434,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f499]) ).

fof(f499,axiom,
    ~ ( e0 = op(op(e5,e5),e5)
      & e1 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax499) ).

fof(f5756,plain,
    ( ~ spl0_190
    | ~ spl0_165
    | ~ spl0_52
    | ~ spl0_210
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2227,f3556,f3699,f2960,f3481,f3606]) ).

fof(f2227,plain,
    ( e1 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f734]) ).

fof(f734,plain,
    ( e1 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f675]) ).

fof(f675,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(op(e4,e4),e4),e4)
      & e1 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax675) ).

fof(f5755,plain,
    ~ spl0_568,
    inference(avatar_split_clause,[],[f1657,f5752]) ).

fof(f5752,plain,
    ( spl0_568
  <=> op(e5,e1) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f1657,plain,
    op(e5,e1) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5750,plain,
    ( ~ spl0_169
    | ~ spl0_124
    | ~ spl0_123
    | ~ spl0_227
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f1482,f4187,f3789,f3287,f3291,f3500]) ).

fof(f1482,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1119]) ).

fof(f1119,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f516]) ).

fof(f516,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax516) ).

fof(f5749,plain,
    ~ spl0_567,
    inference(avatar_split_clause,[],[f1613,f5746]) ).

fof(f5746,plain,
    ( spl0_567
  <=> op(e0,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f1613,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5744,plain,
    ( ~ spl0_190
    | ~ spl0_122
    | ~ spl0_212
    | ~ spl0_213
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1524,f3481,f3715,f3711,f3282,f3606]) ).

fof(f1524,plain,
    ( e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1053]) ).

fof(f1053,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f162]) ).

fof(f162,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).

fof(f5743,plain,
    ( ~ spl0_49
    | ~ spl0_69
    | ~ spl0_131
    | ~ spl0_48
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f1532,f3753,f2943,f3324,f3039,f2947]) ).

fof(f1532,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1423]) ).

fof(f1423,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e3 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax266) ).

fof(f5742,plain,
    spl0_566,
    inference(avatar_split_clause,[],[f2448,f5739]) ).

fof(f5739,plain,
    ( spl0_566
  <=> op(op(e2,e0),e4) = op(e2,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f2448,plain,
    op(op(e2,e0),e4) = op(e2,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5737,plain,
    ( ~ spl0_19
    | ~ spl0_117
    | ~ spl0_177
    | ~ spl0_135
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1515,f3769,f3341,f3543,f3257,f2818]) ).

fof(f1515,plain,
    ( e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1431]) ).

fof(f1431,plain,
    ( e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,axiom,
    ~ ( e3 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f5736,plain,
    ( ~ spl0_158
    | ~ spl0_10
    | ~ spl0_131
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1973,f3056,f3052,f3324,f2779,f3447]) ).

fof(f1973,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1184]) ).

fof(f1184,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f328]) ).

fof(f328,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax328) ).

fof(f5735,plain,
    ( ~ spl0_73
    | ~ spl0_132
    | ~ spl0_45
    | ~ spl0_12
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1525,f3035,f2787,f2931,f3328,f3056]) ).

fof(f1525,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1403]) ).

fof(f1403,plain,
    ( e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f600]) ).

fof(f600,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e0 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax600) ).

fof(f5734,plain,
    spl0_565,
    inference(avatar_split_clause,[],[f2337,f5731]) ).

fof(f5731,plain,
    ( spl0_565
  <=> op(op(e5,e0),e0) = op(e5,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f2337,plain,
    op(op(e5,e0),e0) = op(e5,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5729,plain,
    ( ~ spl0_86
    | ~ spl0_83
    | ~ spl0_169
    | ~ spl0_109
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2671,f2879,f3221,f3500,f3100,f3112]) ).

fof(f2671,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f940]) ).

fof(f940,plain,
    ( e5 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f293]) ).

fof(f293,axiom,
    ~ ( e4 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e5 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax293) ).

fof(f5728,plain,
    spl0_564,
    inference(avatar_split_clause,[],[f1773,f5725]) ).

fof(f5725,plain,
    ( spl0_564
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f1773,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f5723,plain,
    ( spl0_558
    | spl0_559
    | spl0_560
    | spl0_561
    | spl0_562
    | spl0_563 ),
    inference(avatar_split_clause,[],[f2203,f5720,f5716,f5712,f5708,f5704,f5700]) ).

fof(f5700,plain,
    ( spl0_558
  <=> e3 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f5704,plain,
    ( spl0_559
  <=> e2 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f5708,plain,
    ( spl0_560
  <=> e4 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f5712,plain,
    ( spl0_561
  <=> e0 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f5716,plain,
    ( spl0_562
  <=> e1 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f5720,plain,
    ( spl0_563
  <=> e5 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f2203,plain,
    ( e5 = op(e3,e5)
    | e1 = op(e3,e5)
    | e0 = op(e3,e5)
    | e4 = op(e3,e5)
    | e2 = op(e3,e5)
    | e3 = op(e3,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5698,plain,
    ~ spl0_557,
    inference(avatar_split_clause,[],[f1707,f5695]) ).

fof(f5695,plain,
    ( spl0_557
  <=> op(e3,e0) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f1707,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5693,plain,
    ( ~ spl0_131
    | ~ spl0_220
    | ~ spl0_69
    | ~ spl0_132
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1904,f3187,f3328,f3039,f3753,f3324]) ).

fof(f1904,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1350]) ).

fof(f1350,plain,
    ( e0 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f312]) ).

fof(f312,axiom,
    ~ ( e3 = op(op(e1,e1),e1)
      & e0 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax312) ).

fof(f5692,plain,
    ( ~ spl0_65
    | ~ spl0_63
    | ~ spl0_96
    | ~ spl0_26
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2727,f3247,f2850,f3159,f3013,f3021]) ).

fof(f2727,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e0 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1443]) ).

fof(f1443,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f141]) ).

fof(f141,axiom,
    ~ ( e0 = op(op(e5,e5),e5)
      & e4 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

fof(f5691,plain,
    ( ~ spl0_243
    | ~ spl0_63
    | ~ spl0_150
    | ~ spl0_29
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1895,f3510,f2862,f3412,f3013,f3868]) ).

fof(f1895,plain,
    ( e4 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1140]) ).

fof(f1140,plain,
    ( e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ~ ( e1 = op(op(op(e5,e5),e5),e5)
      & e3 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

fof(f5690,plain,
    ~ spl0_556,
    inference(avatar_split_clause,[],[f1732,f5687]) ).

fof(f5687,plain,
    ( spl0_556
  <=> inv(e3) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f1732,plain,
    inv(e3) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f5685,plain,
    ( ~ spl0_122
    | ~ spl0_53
    | ~ spl0_258
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1742,f3392,f3380,f3956,f2964,f3282]) ).

fof(f1742,plain,
    ( e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1085]) ).

fof(f1085,plain,
    ( e0 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f355]) ).

fof(f355,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(e4,e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax355) ).

fof(f5684,plain,
    ( ~ spl0_129
    | ~ spl0_243
    | ~ spl0_30
    | ~ spl0_175
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2270,f3457,f3532,f2866,f3868,f3315]) ).

fof(f2270,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1373]) ).

fof(f1373,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f427]) ).

fof(f427,axiom,
    ~ ( e1 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax427) ).

fof(f5683,plain,
    ( ~ spl0_203
    | ~ spl0_177
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2705,f3087,f2810,f2802,f3543,f3665]) ).

fof(f2705,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f781]) ).

fof(f781,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f510]) ).

fof(f510,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(e2,e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax510) ).

fof(f5682,plain,
    ( ~ spl0_48
    | ~ spl0_68
    | ~ spl0_101
    | ~ spl0_49
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1862,f2783,f2947,f3183,f3035,f2943]) ).

fof(f1862,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1238]) ).

fof(f1238,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f620]) ).

fof(f620,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax620) ).

fof(f5681,plain,
    spl0_555,
    inference(avatar_split_clause,[],[f2436,f5678]) ).

fof(f5678,plain,
    ( spl0_555
  <=> op(op(e4,e2),e4) = op(e4,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f2436,plain,
    op(op(e4,e2),e4) = op(e4,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5676,plain,
    ~ spl0_554,
    inference(avatar_split_clause,[],[f1665,f5673]) ).

fof(f5673,plain,
    ( spl0_554
  <=> op(e0,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f1665,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5671,plain,
    ( spl0_548
    | spl0_549
    | spl0_550
    | spl0_551
    | spl0_552
    | spl0_553 ),
    inference(avatar_split_clause,[],[f2205,f5668,f5664,f5660,f5656,f5652,f5648]) ).

fof(f5648,plain,
    ( spl0_548
  <=> e0 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f5652,plain,
    ( spl0_549
  <=> e4 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f5656,plain,
    ( spl0_550
  <=> e3 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f5660,plain,
    ( spl0_551
  <=> e2 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f5664,plain,
    ( spl0_552
  <=> e1 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f5668,plain,
    ( spl0_553
  <=> e5 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f2205,plain,
    ( e5 = op(e4,e5)
    | e1 = op(e4,e5)
    | e2 = op(e4,e5)
    | e3 = op(e4,e5)
    | e4 = op(e4,e5)
    | e0 = op(e4,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5646,plain,
    ( spl0_542
    | spl0_543
    | spl0_544
    | spl0_545
    | spl0_546
    | spl0_547 ),
    inference(avatar_split_clause,[],[f2208,f5643,f5639,f5635,f5631,f5627,f5623]) ).

fof(f5623,plain,
    ( spl0_542
  <=> e4 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f5627,plain,
    ( spl0_543
  <=> e3 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f5631,plain,
    ( spl0_544
  <=> e0 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f5635,plain,
    ( spl0_545
  <=> e1 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f5639,plain,
    ( spl0_546
  <=> e5 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f5643,plain,
    ( spl0_547
  <=> e2 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f2208,plain,
    ( e2 = op(e1,e5)
    | e5 = op(e1,e5)
    | e1 = op(e1,e5)
    | e0 = op(e1,e5)
    | e3 = op(e1,e5)
    | e4 = op(e1,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5621,plain,
    ( ~ spl0_278
    | ~ spl0_175
    | ~ spl0_29
    | ~ spl0_115
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2675,f3457,f3247,f2862,f3532,f4076]) ).

fof(f2675,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f746]) ).

fof(f746,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).

fof(f5620,plain,
    ( ~ spl0_258
    | ~ spl0_52
    | ~ spl0_145
    | ~ spl0_189
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2556,f3375,f3602,f3388,f2960,f3956]) ).

fof(f2556,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1189]) ).

fof(f1189,plain,
    ( e0 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f615]) ).

fof(f615,axiom,
    ~ ( e0 = op(op(e4,e4),e4)
      & e3 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax615) ).

fof(f5619,plain,
    spl0_444,
    inference(avatar_split_clause,[],[f2004,f5039]) ).

fof(f5039,plain,
    ( spl0_444
  <=> op(e0,e2) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f2004,plain,
    op(e0,e2) = op(e2,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f5618,plain,
    ( ~ spl0_158
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_71
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2111,f3035,f3048,f3056,f3052,f3447]) ).

fof(f2111,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1051]) ).

fof(f1051,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(e1,e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

fof(f5617,plain,
    ( ~ spl0_132
    | ~ spl0_220
    | ~ spl0_69
    | ~ spl0_221
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1821,f2771,f3757,f3039,f3753,f3328]) ).

fof(f1821,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1243]) ).

fof(f1243,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f432]) ).

fof(f432,axiom,
    ~ ( e4 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax432) ).

fof(f5616,plain,
    ~ spl0_541,
    inference(avatar_split_clause,[],[f1494,f5613]) ).

fof(f5613,plain,
    ( spl0_541
  <=> e0 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f1494,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f10]) ).

fof(f5611,plain,
    ( ~ spl0_135
    | ~ spl0_203
    | ~ spl0_134
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1812,f2841,f2814,f3337,f3665,f3341]) ).

fof(f1812,plain,
    ( e4 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1165]) ).

fof(f1165,plain,
    ( e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(e2,e2)
      & e4 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).

fof(f5610,plain,
    spl0_540,
    inference(avatar_split_clause,[],[f2425,f5607]) ).

fof(f5607,plain,
    ( spl0_540
  <=> op(op(e3,e3),e0) = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f2425,plain,
    op(op(e3,e3),e0) = op(e3,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5605,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2624,f2947,f3052,f3048,f3039,f3035]) ).

fof(f2624,plain,
    ( e3 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1353]) ).

fof(f1353,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1)
    | e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

fof(f5604,plain,
    spl0_539,
    inference(avatar_split_clause,[],[f2446,f5601]) ).

fof(f5601,plain,
    ( spl0_539
  <=> op(op(e2,e2),e5) = op(e2,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f2446,plain,
    op(op(e2,e2),e5) = op(e2,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5599,plain,
    spl0_538,
    inference(avatar_split_clause,[],[f1797,f5596]) ).

fof(f5596,plain,
    ( spl0_538
  <=> e0 = inv(inv(e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f1797,plain,
    e0 = inv(inv(e0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f5594,plain,
    ~ spl0_537,
    inference(avatar_split_clause,[],[f1659,f5591]) ).

fof(f5591,plain,
    ( spl0_537
  <=> op(e1,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f1659,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5589,plain,
    ( ~ spl0_80
    | ~ spl0_117
    | ~ spl0_22
    | ~ spl0_133
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2644,f2845,f3333,f2833,f3257,f3087]) ).

fof(f2644,plain,
    ( e0 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1341]) ).

fof(f1341,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f246]) ).

fof(f246,axiom,
    ~ ( e4 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax246) ).

fof(f5588,plain,
    ( ~ spl0_223
    | ~ spl0_179
    | ~ spl0_117
    | ~ spl0_177
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1994,f3547,f3543,f3257,f3551,f3769]) ).

fof(f1994,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1413]) ).

fof(f1413,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f705]) ).

fof(f705,axiom,
    ~ ( e1 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax705) ).

fof(f5587,plain,
    ( ~ spl0_164
    | ~ spl0_225
    | ~ spl0_107
    | ~ spl0_104
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1530,f2745,f3196,f3211,f3778,f3476]) ).

fof(f1530,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0)
    | op(e0,e0) != e5 ),
    inference(cnf_transformation,[],[f1065]) ).

fof(f1065,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5 ),
    inference(ennf_transformation,[],[f340]) ).

fof(f340,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(e0,e0),e0)
      & op(e0,e0) = e5
      & e3 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax340) ).

fof(f5586,plain,
    ( ~ spl0_165
    | ~ spl0_145
    | ~ spl0_54
    | ~ spl0_212
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1484,f3715,f3711,f2968,f3388,f3481]) ).

fof(f1484,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1378]) ).

fof(f1378,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f156,axiom,
    ~ ( e0 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e3 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).

fof(f5585,plain,
    spl0_536,
    inference(avatar_split_clause,[],[f2408,f5582]) ).

fof(f5582,plain,
    ( spl0_536
  <=> op(op(e3,e0),e1) = op(e3,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f2408,plain,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5580,plain,
    ~ spl0_535,
    inference(avatar_split_clause,[],[f1639,f5577]) ).

fof(f5577,plain,
    ( spl0_535
  <=> op(e1,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f1639,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5575,plain,
    spl0_534,
    inference(avatar_split_clause,[],[f2483,f5572]) ).

fof(f5572,plain,
    ( spl0_534
  <=> op(op(e0,e2),e0) = op(e0,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f2483,plain,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5570,plain,
    ( ~ spl0_48
    | ~ spl0_11
    | ~ spl0_131
    | ~ spl0_47
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2321,f2947,f2939,f3324,f2783,f2943]) ).

fof(f2321,plain,
    ( e3 != op(e1,e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1080]) ).

fof(f1080,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f272]) ).

fof(f272,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax272) ).

fof(f5569,plain,
    spl0_533,
    inference(avatar_split_clause,[],[f2343,f5566]) ).

fof(f5566,plain,
    ( spl0_533
  <=> op(op(e5,e1),e1) = op(e5,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f2343,plain,
    op(op(e5,e1),e1) = op(e5,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5564,plain,
    ( ~ spl0_36
    | ~ spl0_82
    | ~ spl0_106
    | ~ spl0_227
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f1795,f4187,f3789,f3206,f3096,f2891]) ).

fof(f1795,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f938]) ).

fof(f938,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f546]) ).

fof(f546,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax546) ).

fof(f5563,plain,
    ( ~ spl0_134
    | ~ spl0_203
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1464,f2810,f2814,f2802,f3665,f3337]) ).

fof(f1464,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1214]) ).

fof(f1214,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f515]) ).

fof(f515,axiom,
    ~ ( e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax515) ).

fof(f5562,plain,
    ~ spl0_532,
    inference(avatar_split_clause,[],[f1583,f5559]) ).

fof(f5559,plain,
    ( spl0_532
  <=> op(e0,e4) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f1583,plain,
    op(e0,e4) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5557,plain,
    ( ~ spl0_134
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2604,f3551,f2845,f2841,f2837,f3337]) ).

fof(f2604,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1030]) ).

fof(f1030,plain,
    ( e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f727]) ).

fof(f727,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax727) ).

fof(f5556,plain,
    ( ~ spl0_96
    | ~ spl0_129
    | ~ spl0_97
    | ~ spl0_248
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1846,f2850,f3895,f3163,f3315,f3159]) ).

fof(f1846,plain,
    ( e4 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1061,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f381]) ).

fof(f381,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(e5,e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax381) ).

fof(f5555,plain,
    spl0_531,
    inference(avatar_split_clause,[],[f2487,f5552]) ).

fof(f5552,plain,
    ( spl0_531
  <=> op(op(e4,e3),e4) = op(e4,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f2487,plain,
    op(op(e4,e3),e4) = op(e4,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5550,plain,
    spl0_530,
    inference(avatar_split_clause,[],[f1766,f5547]) ).

fof(f5547,plain,
    ( spl0_530
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f1766,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5545,plain,
    ( ~ spl0_66
    | ~ spl0_30
    | ~ spl0_243
    | ~ spl0_247
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1922,f3532,f3891,f3868,f2866,f3025]) ).

fof(f1922,plain,
    ( e2 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1125]) ).

fof(f1125,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f547]) ).

fof(f547,axiom,
    ~ ( e0 = op(e5,e5)
      & e2 = op(op(e5,e5),e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax547) ).

fof(f5544,plain,
    ( ~ spl0_135
    | ~ spl0_223
    | ~ spl0_19
    | ~ spl0_263
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2692,f2806,f3986,f2818,f3769,f3341]) ).

fof(f2692,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1120]) ).

fof(f1120,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e4 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f5543,plain,
    ( ~ spl0_189
    | ~ spl0_141
    | ~ spl0_180
    | ~ spl0_121
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f2653,f3715,f3278,f3556,f3371,f3602]) ).

fof(f2653,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1231]) ).

fof(f1231,plain,
    ( e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f378]) ).

fof(f378,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e1 = op(e4,e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax378) ).

fof(f5542,plain,
    ( ~ spl0_163
    | ~ spl0_110
    | ~ spl0_227
    | ~ spl0_111
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2108,f3500,f3229,f3789,f3225,f3471]) ).

fof(f2108,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1048]) ).

fof(f1048,plain,
    ( e4 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e4 = op(e3,e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f5541,plain,
    spl0_529,
    inference(avatar_split_clause,[],[f2426,f5538]) ).

fof(f5538,plain,
    ( spl0_529
  <=> op(op(e3,e4),e0) = op(e3,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f2426,plain,
    op(op(e3,e4),e0) = op(e3,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5536,plain,
    ~ spl0_528,
    inference(avatar_split_clause,[],[f1667,f5533]) ).

fof(f5533,plain,
    ( spl0_528
  <=> op(e2,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f1667,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5531,plain,
    ( ~ spl0_121
    | ~ spl0_145
    | ~ spl0_212
    | ~ spl0_213
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2229,f3602,f3715,f3711,f3388,f3278]) ).

fof(f2229,plain,
    ( e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1360]) ).

fof(f1360,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f132,axiom,
    ~ ( e3 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).

fof(f5530,plain,
    spl0_527,
    inference(avatar_split_clause,[],[f2495,f5527]) ).

fof(f5527,plain,
    ( spl0_527
  <=> op(op(e5,e2),e4) = op(e5,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f2495,plain,
    op(op(e5,e2),e4) = op(e5,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5525,plain,
    ( ~ spl0_263
    | ~ spl0_17
    | ~ spl0_203
    | ~ spl0_206
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1514,f3337,f3677,f3665,f2810,f3986]) ).

fof(f1514,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f857]) ).

fof(f857,plain,
    ( e4 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f395]) ).

fof(f395,axiom,
    ~ ( e4 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax395) ).

fof(f5524,plain,
    spl0_526,
    inference(avatar_split_clause,[],[f2344,f5521]) ).

fof(f5521,plain,
    ( spl0_526
  <=> op(op(e5,e2),e0) = op(e5,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f2344,plain,
    op(op(e5,e2),e0) = op(e5,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5519,plain,
    spl0_525,
    inference(avatar_split_clause,[],[f2035,f5516]) ).

fof(f2035,plain,
    op(e1,e5) = op(e5,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f5514,plain,
    ~ spl0_524,
    inference(avatar_split_clause,[],[f1649,f5511]) ).

fof(f5511,plain,
    ( spl0_524
  <=> op(e3,e3) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f1649,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5509,plain,
    spl0_219,
    inference(avatar_split_clause,[],[f2010,f3748]) ).

fof(f3748,plain,
    ( spl0_219
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f2010,plain,
    op(e1,e2) = op(e2,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f5508,plain,
    ( ~ spl0_124
    | ~ spl0_161
    | ~ spl0_84
    | ~ spl0_169
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2159,f3471,f3500,f3104,f3463,f3291]) ).

fof(f2159,plain,
    ( e4 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1015]) ).

fof(f1015,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f641]) ).

fof(f641,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(e3,e3),e3),e3)
      & e4 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax641) ).

fof(f5507,plain,
    ~ spl0_523,
    inference(avatar_split_clause,[],[f1643,f5504]) ).

fof(f5504,plain,
    ( spl0_523
  <=> op(e3,e2) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f1643,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5502,plain,
    ( ~ spl0_171
    | ~ spl0_30
    | ~ spl0_247
    | ~ spl0_95
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f1475,f3868,f3155,f3891,f2866,f3510]) ).

fof(f1475,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1309]) ).

fof(f1309,plain,
    ( e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f331]) ).

fof(f331,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e0 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax331) ).

fof(f5501,plain,
    ( ~ spl0_29
    | ~ spl0_97
    | ~ spl0_175
    | ~ spl0_278
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2243,f3025,f4076,f3532,f3163,f2862]) ).

fof(f2243,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1196]) ).

fof(f1196,plain,
    ( e2 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f543]) ).

fof(f543,axiom,
    ~ ( e2 = op(op(e5,e5),e5)
      & e3 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax543) ).

fof(f5500,plain,
    ( ~ spl0_177
    | ~ spl0_206
    | ~ spl0_19
    | ~ spl0_309
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1454,f2841,f4248,f2818,f3677,f3543]) ).

fof(f1454,plain,
    ( e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1267]) ).

fof(f1267,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f444]) ).

fof(f444,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(e2,e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax444) ).

fof(f5499,plain,
    ( ~ spl0_54
    | ~ spl0_50
    | ~ spl0_141
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1967,f3392,f3384,f3371,f2952,f2968]) ).

fof(f1967,plain,
    ( e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1311]) ).

fof(f1311,plain,
    ( e2 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f471]) ).

fof(f471,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e5 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax471) ).

fof(f5498,plain,
    spl0_522,
    inference(avatar_split_clause,[],[f2315,f5495]) ).

fof(f5495,plain,
    ( spl0_522
  <=> unit = op(inv(e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f2315,plain,
    unit = op(inv(e3),e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5493,plain,
    ~ spl0_521,
    inference(avatar_split_clause,[],[f1558,f5490]) ).

fof(f5490,plain,
    ( spl0_521
  <=> op(e1,e0) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f1558,plain,
    op(e1,e0) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5488,plain,
    ( ~ spl0_124
    | ~ spl0_85
    | ~ spl0_99
    | ~ spl0_161
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f1782,f4187,f3463,f3173,f3108,f3291]) ).

fof(f1782,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f851]) ).

fof(f851,plain,
    ( e5 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f589]) ).

fof(f589,axiom,
    ~ ( e1 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(e3,e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax589) ).

fof(f5487,plain,
    ( ~ spl0_158
    | ~ spl0_221
    | ~ spl0_10
    | ~ spl0_45
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1747,f3056,f2931,f2779,f3757,f3447]) ).

fof(f1747,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e5 != op(e1,e1) ),
    inference(cnf_transformation,[],[f984]) ).

fof(f984,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1) ),
    inference(ennf_transformation,[],[f544]) ).

fof(f544,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax544) ).

fof(f5486,plain,
    spl0_520,
    inference(avatar_split_clause,[],[f1800,f5483]) ).

fof(f5483,plain,
    ( spl0_520
  <=> e3 = inv(inv(e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f1800,plain,
    e3 = inv(inv(e3)),
    inference(cnf_transformation,[],[f6]) ).

fof(f5481,plain,
    ~ spl0_519,
    inference(avatar_split_clause,[],[f1599,f5478]) ).

fof(f5478,plain,
    ( spl0_519
  <=> op(e0,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f1599,plain,
    op(e0,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5476,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | ~ spl0_16
    | ~ spl0_206
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1460,f2818,f3677,f2806,f2845,f2841]) ).

fof(f1460,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e4 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1305]) ).

fof(f1305,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f450]) ).

fof(f450,axiom,
    ~ ( e0 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax450) ).

fof(f5475,plain,
    ~ spl0_518,
    inference(avatar_split_clause,[],[f1658,f5472]) ).

fof(f5472,plain,
    ( spl0_518
  <=> op(e0,e0) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f1658,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5470,plain,
    spl0_517,
    inference(avatar_split_clause,[],[f2440,f5467]) ).

fof(f5467,plain,
    ( spl0_517
  <=> op(op(e4,e0),e1) = op(e4,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f2440,plain,
    op(op(e4,e0),e1) = op(e4,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5465,plain,
    ( ~ spl0_64
    | ~ spl0_63
    | ~ spl0_114
    | ~ spl0_30
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2156,f3315,f2866,f3243,f3013,f3017]) ).

fof(f2156,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f784]) ).

fof(f784,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f409]) ).

fof(f409,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(e5,e5)
      & e4 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax409) ).

fof(f5464,plain,
    ( ~ spl0_2
    | ~ spl0_88
    | ~ spl0_225
    | ~ spl0_5
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2722,f3476,f2757,f3778,f3122,f2745]) ).

fof(f2722,plain,
    ( op(e0,e0) != e5
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f804]) ).

fof(f804,plain,
    ( op(e0,e0) != e5
    | e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f460]) ).

fof(f460,axiom,
    ~ ( op(e0,e0) = e5
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax460) ).

fof(f5463,plain,
    ~ spl0_516,
    inference(avatar_split_clause,[],[f1642,f5460]) ).

fof(f5460,plain,
    ( spl0_516
  <=> op(e1,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f1642,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5458,plain,
    ( ~ spl0_76
    | ~ spl0_112
    | ~ spl0_151
    | ~ spl0_168
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2107,f3066,f3495,f3417,f3234,f3070]) ).

fof(f2107,plain,
    ( e3 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f1163]) ).

fof(f1163,plain,
    ( op(e0,e0) != e2
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f194]) ).

fof(f194,axiom,
    ~ ( e4 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e2
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax194) ).

fof(f5457,plain,
    ~ spl0_515,
    inference(avatar_split_clause,[],[f1638,f5454]) ).

fof(f5454,plain,
    ( spl0_515
  <=> op(e1,e3) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f1638,plain,
    op(e1,e3) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5452,plain,
    ( ~ spl0_15
    | ~ spl0_80
    | ~ spl0_133
    | ~ spl0_309
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2125,f3543,f4248,f3333,f3087,f2802]) ).

fof(f2125,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f856]) ).

fof(f856,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f588]) ).

fof(f588,axiom,
    ~ ( e1 = op(e2,e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax588) ).

fof(f5451,plain,
    ( ~ spl0_183
    | ~ spl0_78
    | ~ spl0_75
    | ~ spl0_4
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2718,f3211,f2753,f3066,f3078,f3571]) ).

fof(f2718,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f1396]) ).

fof(f1396,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f320]) ).

fof(f320,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1
      & e3 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax320) ).

fof(f5450,plain,
    ( ~ spl0_24
    | ~ spl0_309
    | ~ spl0_22
    | ~ spl0_81
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1523,f3087,f3091,f2833,f4248,f2841]) ).

fof(f1523,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1354]) ).

fof(f1354,plain,
    ( e5 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f208]) ).

fof(f208,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),e2),e2)
      & e5 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax208) ).

fof(f5449,plain,
    ( ~ spl0_52
    | ~ spl0_209
    | ~ spl0_121
    | ~ spl0_144
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2582,f3282,f3384,f3278,f3695,f2960]) ).

fof(f2582,plain,
    ( e0 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1158]) ).

fof(f1158,plain,
    ( e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f697]) ).

fof(f697,axiom,
    ~ ( e0 = op(e4,e4)
      & e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax697) ).

fof(f5448,plain,
    ~ spl0_514,
    inference(avatar_split_clause,[],[f1574,f5445]) ).

fof(f5445,plain,
    ( spl0_514
  <=> op(e2,e0) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f1574,plain,
    op(e2,e0) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5443,plain,
    spl0_513,
    inference(avatar_split_clause,[],[f2472,f5440]) ).

fof(f5440,plain,
    ( spl0_513
  <=> op(op(e0,e0),e2) = op(e0,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f2472,plain,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5438,plain,
    ( ~ spl0_72
    | ~ spl0_10
    | ~ spl0_69
    | ~ spl0_131
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2103,f2947,f3324,f3039,f2779,f3052]) ).

fof(f2103,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1416]) ).

fof(f1416,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f326]) ).

fof(f326,axiom,
    ~ ( e3 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax326) ).

fof(f5437,plain,
    ( ~ spl0_151
    | ~ spl0_103
    | ~ spl0_5
    | ~ spl0_164
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f2104,f3774,f3476,f2757,f3192,f3417]) ).

fof(f2104,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1074]) ).

fof(f1074,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5 ),
    inference(ennf_transformation,[],[f412]) ).

fof(f412,axiom,
    ~ ( e1 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e5
      & e4 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax412) ).

fof(f5436,plain,
    ~ spl0_512,
    inference(avatar_split_clause,[],[f1615,f5433]) ).

fof(f5433,plain,
    ( spl0_512
  <=> op(e5,e3) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f1615,plain,
    op(e5,e3) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5431,plain,
    spl0_511,
    inference(avatar_split_clause,[],[f2361,f5428]) ).

fof(f5428,plain,
    ( spl0_511
  <=> op(op(e0,e1),e3) = op(e0,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f2361,plain,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5426,plain,
    ( ~ spl0_18
    | ~ spl0_17
    | ~ spl0_117
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2213,f2833,f2818,f3257,f2810,f2814]) ).

fof(f2213,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f819]) ).

fof(f819,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f146,axiom,
    ~ ( e3 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).

fof(f5425,plain,
    ( ~ spl0_166
    | ~ spl0_121
    | ~ spl0_213
    | ~ spl0_209
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2640,f3556,f3695,f3715,f3278,f3485]) ).

fof(f2640,plain,
    ( e1 != op(e4,e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f932]) ).

fof(f932,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,axiom,
    ~ ( e3 = op(op(e4,e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e1 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f5424,plain,
    ( spl0_505
    | spl0_506
    | spl0_507
    | spl0_508
    | spl0_509
    | spl0_510 ),
    inference(avatar_split_clause,[],[f2212,f5421,f5417,f5413,f5409,f5405,f5401]) ).

fof(f5401,plain,
    ( spl0_505
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f5405,plain,
    ( spl0_506
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f5409,plain,
    ( spl0_507
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f5413,plain,
    ( spl0_508
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f5417,plain,
    ( spl0_509
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f5421,plain,
    ( spl0_510
  <=> e5 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f2212,plain,
    ( e5 = op(e1,e3)
    | e4 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5399,plain,
    ~ spl0_504,
    inference(avatar_split_clause,[],[f1703,f5396]) ).

fof(f5396,plain,
    ( spl0_504
  <=> op(e0,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f1703,plain,
    op(e0,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5394,plain,
    spl0_503,
    inference(avatar_split_clause,[],[f2447,f5391]) ).

fof(f5391,plain,
    ( spl0_503
  <=> op(op(e4,e1),e5) = op(e4,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f2447,plain,
    op(op(e4,e1),e5) = op(e4,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5389,plain,
    ( ~ spl0_232
    | spl0_41 ),
    inference(avatar_split_clause,[],[f2073,f2914,f3812]) ).

fof(f3812,plain,
    ( spl0_232
  <=> e3 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f2914,plain,
    ( spl0_41
  <=> e0 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2073,plain,
    ( e0 = inv(e3)
    | e3 != inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5388,plain,
    ( ~ spl0_168
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_224
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1943,f3066,f3774,f2761,f2753,f3495]) ).

fof(f1943,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1255]) ).

fof(f1255,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f202]) ).

fof(f202,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e4
      & e5 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax202) ).

fof(f5387,plain,
    ( ~ spl0_203
    | ~ spl0_134
    | ~ spl0_25
    | ~ spl0_223
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2666,f2802,f3769,f2845,f3337,f3665]) ).

fof(f2666,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1012]) ).

fof(f1012,plain,
    ( e3 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f583]) ).

fof(f583,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax583) ).

fof(f5386,plain,
    ~ spl0_502,
    inference(avatar_split_clause,[],[f1616,f5383]) ).

fof(f5383,plain,
    ( spl0_502
  <=> op(e3,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f1616,plain,
    op(e3,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5381,plain,
    ( spl0_355
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f2071,f5378,f4520]) ).

fof(f2071,plain,
    ( e1 != inv(e5)
    | e5 = inv(e1) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5376,plain,
    ( ~ spl0_191
    | ~ spl0_212
    | ~ spl0_209
    | ~ spl0_142
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1944,f2968,f3375,f3695,f3711,f3610]) ).

fof(f1944,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4) ),
    inference(cnf_transformation,[],[f995]) ).

fof(f995,plain,
    ( e5 != op(e4,e4)
    | e3 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f185]) ).

fof(f185,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(e4,e4),e4)
      & e5 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax185) ).

fof(f5375,plain,
    spl0_174,
    inference(avatar_split_clause,[],[f2011,f3527]) ).

fof(f3527,plain,
    ( spl0_174
  <=> op(e2,e4) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2011,plain,
    op(e2,e4) = op(e4,e2),
    inference(cnf_transformation,[],[f11]) ).

fof(f5374,plain,
    spl0_500,
    inference(avatar_split_clause,[],[f2355,f5371]) ).

fof(f5371,plain,
    ( spl0_500
  <=> op(op(e2,e5),e1) = op(e2,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f2355,plain,
    op(op(e2,e5),e1) = op(e2,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5369,plain,
    ( ~ spl0_10
    | ~ spl0_45
    | ~ spl0_221
    | ~ spl0_49
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2164,f3039,f2947,f3757,f2931,f2779]) ).

fof(f2164,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1075]) ).

fof(f1075,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f542]) ).

fof(f542,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e3 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax542) ).

fof(f5368,plain,
    ( ~ spl0_133
    | ~ spl0_16
    | ~ spl0_178
    | ~ spl0_18
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1778,f2802,f2814,f3547,f2806,f3333]) ).

fof(f1778,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1045]) ).

fof(f1045,plain,
    ( e5 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f599]) ).

fof(f599,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax599) ).

fof(f5367,plain,
    ( ~ spl0_25
    | ~ spl0_223
    | ~ spl0_16
    | ~ spl0_205
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2066,f3551,f3673,f2806,f3769,f2845]) ).

fof(f2066,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1307]) ).

fof(f1307,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f690]) ).

fof(f690,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e0 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax690) ).

fof(f5366,plain,
    ( ~ spl0_86
    | ~ spl0_99
    | ~ spl0_83
    | ~ spl0_123
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2293,f3597,f3287,f3100,f3173,f3112]) ).

fof(f2293,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1032]) ).

fof(f1032,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f249]) ).

fof(f249,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax249) ).

fof(f5365,plain,
    ( ~ spl0_161
    | ~ spl0_298
    | ~ spl0_109
    | ~ spl0_162
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1855,f3206,f3467,f3221,f4187,f3463]) ).

fof(f1855,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f805]) ).

fof(f805,plain,
    ( e0 != op(op(e3,e3),e3)
    | e5 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f497]) ).

fof(f497,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e5 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax497) ).

fof(f5364,plain,
    ( ~ spl0_213
    | ~ spl0_165
    | ~ spl0_54
    | ~ spl0_141
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1831,f3556,f3371,f2968,f3481,f3715]) ).

fof(f1831,plain,
    ( e1 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1340]) ).

fof(f1340,plain,
    ( e1 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f420]) ).

fof(f420,axiom,
    ~ ( e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4)
      & e1 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax420) ).

fof(f5363,plain,
    ( ~ spl0_163
    | ~ spl0_106
    | ~ spl0_162
    | ~ spl0_227
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2635,f2879,f3789,f3467,f3206,f3471]) ).

fof(f2635,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1149]) ).

fof(f1149,plain,
    ( e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f254]) ).

fof(f254,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e4 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax254) ).

fof(f5362,plain,
    ~ spl0_499,
    inference(avatar_split_clause,[],[f1537,f5359]) ).

fof(f5359,plain,
    ( spl0_499
  <=> op(e4,e2) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f1537,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5357,plain,
    ( ~ spl0_35
    | ~ spl0_161
    | ~ spl0_111
    | ~ spl0_85
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f2046,f2875,f3108,f3229,f3463,f2887]) ).

fof(f2046,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1326]) ).

fof(f1326,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,axiom,
    ~ ( e1 = op(e3,e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).

fof(f5356,plain,
    spl0_498,
    inference(avatar_split_clause,[],[f2428,f5353]) ).

fof(f5353,plain,
    ( spl0_498
  <=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f2428,plain,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5351,plain,
    ( ~ spl0_110
    | ~ spl0_105
    | ~ spl0_99
    | ~ spl0_85
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2099,f3229,f3108,f3173,f3202,f3225]) ).

fof(f2099,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f917,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

fof(f5350,plain,
    spl0_497,
    inference(avatar_split_clause,[],[f2521,f5347]) ).

fof(f5347,plain,
    ( spl0_497
  <=> op(op(e0,e4),e1) = op(e0,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f2521,plain,
    op(op(e0,e4),e1) = op(e0,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5345,plain,
    ( ~ spl0_26
    | ~ spl0_95
    | ~ spl0_113
    | ~ spl0_97
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f1850,f4076,f3163,f3239,f3155,f2850]) ).

fof(f1850,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5) ),
    inference(cnf_transformation,[],[f905]) ).

fof(f905,plain,
    ( e4 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f303]) ).

fof(f303,axiom,
    ~ ( e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e4 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax303) ).

fof(f5344,plain,
    ~ spl0_496,
    inference(avatar_split_clause,[],[f1553,f5341]) ).

fof(f5341,plain,
    ( spl0_496
  <=> op(e3,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f1553,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f5339,plain,
    ~ spl0_495,
    inference(avatar_split_clause,[],[f1604,f5336]) ).

fof(f5336,plain,
    ( spl0_495
  <=> op(e0,e2) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f1604,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5334,plain,
    ( ~ spl0_117
    | ~ spl0_206
    | ~ spl0_178
    | ~ spl0_133
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2573,f3543,f3333,f3547,f3677,f3257]) ).

fof(f2573,plain,
    ( e1 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1160]) ).

fof(f1160,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f489]) ).

fof(f489,axiom,
    ~ ( e4 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax489) ).

fof(f5333,plain,
    ( ~ spl0_85
    | ~ spl0_86
    | ~ spl0_111
    | ~ spl0_82
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2139,f3789,f3096,f3229,f3112,f3108]) ).

fof(f2139,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f912]) ).

fof(f912,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ~ ( e1 = op(e3,e3)
      & e2 = op(op(e3,e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f5332,plain,
    ( ~ spl0_105
    | ~ spl0_123
    | ~ spl0_84
    | ~ spl0_124
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2641,f3500,f3291,f3104,f3287,f3202]) ).

fof(f2641,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1142]) ).

fof(f1142,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f636]) ).

fof(f636,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax636) ).

fof(f5331,plain,
    ( ~ spl0_80
    | ~ spl0_203
    | ~ spl0_22
    | ~ spl0_25
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f2689,f2841,f2845,f2833,f3665,f3087]) ).

fof(f2689,plain,
    ( e4 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1162]) ).

fof(f1162,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f222]) ).

fof(f222,axiom,
    ~ ( e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(e2,e2),e2)
      & e0 = op(e2,e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax222) ).

fof(f5330,plain,
    ( ~ spl0_178
    | ~ spl0_117
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1815,f3333,f2814,f2833,f3257,f3547]) ).

fof(f1815,plain,
    ( e5 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f883]) ).

fof(f883,plain,
    ( e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f251]) ).

fof(f251,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax251) ).

fof(f5329,plain,
    ( ~ spl0_203
    | ~ spl0_206
    | ~ spl0_25
    | ~ spl0_24
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2236,f3337,f2841,f2845,f3677,f3665]) ).

fof(f2236,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1113]) ).

fof(f1113,plain,
    ( e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f463]) ).

fof(f463,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax463) ).

fof(f5328,plain,
    spl0_494,
    inference(avatar_split_clause,[],[f2501,f5325]) ).

fof(f5325,plain,
    ( spl0_494
  <=> op(op(e1,e0),e1) = op(e1,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f2501,plain,
    op(op(e1,e0),e1) = op(e1,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5323,plain,
    ( ~ spl0_80
    | ~ spl0_135
    | ~ spl0_16
    | ~ spl0_133
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f1467,f3986,f3333,f2806,f3341,f3087]) ).

fof(f1467,plain,
    ( e4 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f798]) ).

fof(f798,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(e2,e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).

fof(f5322,plain,
    ( ~ spl0_97
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_175
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1882,f2866,f3532,f3025,f3021,f3163]) ).

fof(f1882,plain,
    ( e0 != op(e5,e5)
    | e2 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1199]) ).

fof(f1199,plain,
    ( e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f553]) ).

fof(f553,axiom,
    ~ ( e3 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax553) ).

fof(f5321,plain,
    ( ~ spl0_135
    | ~ spl0_80
    | ~ spl0_24
    | ~ spl0_203
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1873,f3543,f3665,f2841,f3087,f3341]) ).

fof(f1873,plain,
    ( e1 != op(e2,e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1164]) ).

fof(f1164,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e5 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).

fof(f5320,plain,
    ~ spl0_493,
    inference(avatar_split_clause,[],[f1548,f5317]) ).

fof(f5317,plain,
    ( spl0_493
  <=> op(e0,e0) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f1548,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5315,plain,
    ( ~ spl0_179
    | ~ spl0_18
    | ~ spl0_309
    | ~ spl0_24
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1746,f3337,f2841,f4248,f2814,f3551]) ).

fof(f1746,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f999]) ).

fof(f999,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f713]) ).

fof(f713,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax713) ).

fof(f5314,plain,
    ( ~ spl0_50
    | ~ spl0_189
    | ~ spl0_213
    | ~ spl0_212
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f1837,f3606,f3711,f3715,f3602,f2952]) ).

fof(f1837,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f955]) ).

fof(f955,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f138,axiom,
    ~ ( e3 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

fof(f5313,plain,
    spl0_492,
    inference(avatar_split_clause,[],[f2341,f5310]) ).

fof(f5310,plain,
    ( spl0_492
  <=> op(op(e3,e2),e0) = op(e3,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f2341,plain,
    op(op(e3,e2),e0) = op(e3,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5308,plain,
    ( ~ spl0_48
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2126,f3043,f3039,f3324,f3320,f2943]) ).

fof(f2126,plain,
    ( e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1062]) ).

fof(f1062,plain,
    ( e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f260]) ).

fof(f260,axiom,
    ~ ( e0 = op(op(e1,e1),e1)
      & e4 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax260) ).

fof(f5307,plain,
    ( ~ spl0_163
    | ~ spl0_84
    | ~ spl0_169
    | ~ spl0_83
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2251,f3225,f3100,f3500,f3104,f3471]) ).

fof(f2251,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1232]) ).

fof(f1232,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(ennf_transformation,[],[f647]) ).

fof(f647,axiom,
    ~ ( e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax647) ).

fof(f5306,plain,
    ~ spl0_491,
    inference(avatar_split_clause,[],[f1708,f5303]) ).

fof(f5303,plain,
    ( spl0_491
  <=> op(e0,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f1708,plain,
    op(e0,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5301,plain,
    ( ~ spl0_122
    | ~ spl0_53
    | ~ spl0_121
    | ~ spl0_212
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1511,f3392,f3711,f3278,f2964,f3282]) ).

fof(f1511,plain,
    ( e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1381]) ).

fof(f1381,plain,
    ( e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f235]) ).

fof(f235,axiom,
    ~ ( e2 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(e4,e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax235) ).

fof(f5300,plain,
    ~ spl0_490,
    inference(avatar_split_clause,[],[f1623,f5297]) ).

fof(f5297,plain,
    ( spl0_490
  <=> op(e1,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f1623,plain,
    op(e1,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5295,plain,
    ( ~ spl0_180
    | ~ spl0_141
    | ~ spl0_121
    | ~ spl0_210
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1844,f3392,f3699,f3278,f3371,f3556]) ).

fof(f1844,plain,
    ( e5 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1386]) ).

fof(f1386,plain,
    ( e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f483]) ).

fof(f483,axiom,
    ~ ( e1 = op(e4,e4)
      & e5 = op(op(e4,e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax483) ).

fof(f5294,plain,
    ( ~ spl0_263
    | ~ spl0_22
    | ~ spl0_80
    | ~ spl0_309
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2145,f3333,f4248,f3087,f2833,f3986]) ).

fof(f2145,plain,
    ( e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1316]) ).

fof(f1316,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f232]) ).

fof(f232,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(e2,e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax232) ).

fof(f5293,plain,
    ( spl0_311
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2084,f2906,f4270]) ).

fof(f2906,plain,
    ( spl0_39
  <=> e5 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2084,plain,
    ( e5 != inv(e3)
    | e3 = inv(e5) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5292,plain,
    ( ~ spl0_8
    | ~ spl0_48
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2265,f2939,f2775,f2783,f2943,f2771]) ).

fof(f2265,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f885]) ).

fof(f885,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f392]) ).

fof(f392,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax392) ).

fof(f5291,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_9
    | ~ spl0_72
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1990,f3039,f3052,f2775,f2779,f2771]) ).

fof(f1990,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1327]) ).

fof(f1327,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f446]) ).

fof(f446,axiom,
    ~ ( e2 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(e1,e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax446) ).

fof(f5290,plain,
    ( ~ spl0_88
    | ~ spl0_79
    | ~ spl0_225
    | ~ spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1472,f2745,f3130,f3778,f3082,f3122]) ).

fof(f1472,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3
    | e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1095]) ).

fof(f1095,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3
    | e4 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f724]) ).

fof(f724,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e3
      & e2 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax724) ).

fof(f5289,plain,
    ( ~ spl0_224
    | ~ spl0_79
    | ~ spl0_225
    | ~ spl0_77
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2295,f3130,f3074,f3778,f3082,f3774]) ).

fof(f2295,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1175]) ).

fof(f1175,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f718]) ).

fof(f718,axiom,
    ~ ( op(e0,e0) = e3
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax718) ).

fof(f5288,plain,
    ( ~ spl0_101
    | ~ spl0_68
    | ~ spl0_132
    | ~ spl0_11
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1459,f3187,f2783,f3328,f3035,f3183]) ).

fof(f1459,plain,
    ( e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1319]) ).

fof(f1319,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f696]) ).

fof(f696,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e0 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax696) ).

fof(f5287,plain,
    ( ~ spl0_144
    | ~ spl0_189
    | ~ spl0_52
    | ~ spl0_190
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1786,f2952,f3606,f2960,f3602,f3384]) ).

fof(f1786,plain,
    ( e2 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f897]) ).

fof(f897,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f627]) ).

fof(f627,axiom,
    ~ ( e2 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax627) ).

fof(f5286,plain,
    ~ spl0_489,
    inference(avatar_split_clause,[],[f1696,f5283]) ).

fof(f5283,plain,
    ( spl0_489
  <=> op(e0,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f1696,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5281,plain,
    ( ~ spl0_129
    | ~ spl0_26
    | ~ spl0_175
    | ~ spl0_97
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2561,f4076,f3163,f3532,f2850,f3315]) ).

fof(f2561,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1041]) ).

fof(f1041,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e2 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f423]) ).

fof(f423,axiom,
    ~ ( e2 = op(op(e5,e5),e5)
      & e4 = op(e5,e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax423) ).

fof(f5280,plain,
    spl0_194,
    inference(avatar_split_clause,[],[f2003,f3624]) ).

fof(f3624,plain,
    ( spl0_194
  <=> op(e0,e5) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f2003,plain,
    op(e0,e5) = op(e5,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f5279,plain,
    spl0_488,
    inference(avatar_split_clause,[],[f2424,f5276]) ).

fof(f5276,plain,
    ( spl0_488
  <=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f2424,plain,
    op(op(e1,e2),e1) = op(e1,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5274,plain,
    spl0_487,
    inference(avatar_split_clause,[],[f2338,f5271]) ).

fof(f5271,plain,
    ( spl0_487
  <=> op(op(e0,e4),e3) = op(e0,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f2338,plain,
    op(op(e0,e4),e3) = op(e0,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5269,plain,
    spl0_486,
    inference(avatar_split_clause,[],[f2389,f5266]) ).

fof(f5266,plain,
    ( spl0_486
  <=> op(op(e1,e1),e4) = op(e1,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f2389,plain,
    op(op(e1,e1),e4) = op(e1,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5264,plain,
    ( ~ spl0_69
    | ~ spl0_9
    | ~ spl0_72
    | ~ spl0_130
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2706,f3048,f3320,f3052,f2775,f3039]) ).

fof(f2706,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f933]) ).

fof(f933,plain,
    ( e2 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(e1,e1)
      & e4 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).

fof(f5263,plain,
    ~ spl0_485,
    inference(avatar_split_clause,[],[f1557,f5260]) ).

fof(f5260,plain,
    ( spl0_485
  <=> op(e2,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f1557,plain,
    op(e2,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5258,plain,
    ( ~ spl0_483
    | spl0_484 ),
    inference(avatar_split_clause,[],[f2079,f5255,f5251]) ).

fof(f2079,plain,
    ( e5 = inv(e4)
    | e4 != inv(e5) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5249,plain,
    ( spl0_477
    | spl0_478
    | spl0_479
    | spl0_480
    | spl0_481
    | spl0_482 ),
    inference(avatar_split_clause,[],[f2185,f5246,f5242,f5238,f5234,f5230,f5226]) ).

fof(f5226,plain,
    ( spl0_477
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f5230,plain,
    ( spl0_478
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f5234,plain,
    ( spl0_479
  <=> e5 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f5238,plain,
    ( spl0_480
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f5242,plain,
    ( spl0_481
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f5246,plain,
    ( spl0_482
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f2185,plain,
    ( e3 = op(e3,e1)
    | e4 = op(e3,e1)
    | e1 = op(e3,e1)
    | e5 = op(e3,e1)
    | e2 = op(e3,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5224,plain,
    ( ~ spl0_161
    | ~ spl0_163
    | ~ spl0_188
    | ~ spl0_32
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2142,f3467,f2875,f3597,f3471,f3463]) ).

fof(f2142,plain,
    ( e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f833]) ).

fof(f833,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f155]) ).

fof(f155,axiom,
    ~ ( e5 = op(op(op(e3,e3),e3),e3)
      & e4 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).

fof(f5223,plain,
    spl0_476,
    inference(avatar_split_clause,[],[f2445,f5220]) ).

fof(f5220,plain,
    ( spl0_476
  <=> op(op(e0,e2),e4) = op(e0,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f2445,plain,
    op(op(e0,e2),e4) = op(e0,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5218,plain,
    ( ~ spl0_83
    | ~ spl0_123
    | ~ spl0_298
    | ~ spl0_99
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1533,f3206,f3173,f4187,f3287,f3100]) ).

fof(f1533,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1216]) ).

fof(f1216,plain,
    ( e5 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f597]) ).

fof(f597,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax597) ).

fof(f5217,plain,
    ( ~ spl0_165
    | ~ spl0_191
    | ~ spl0_144
    | ~ spl0_141
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1965,f2968,f3371,f3384,f3610,f3481]) ).

fof(f1965,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f904]) ).

fof(f904,plain,
    ( e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f425]) ).

fof(f425,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(e4,e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax425) ).

fof(f5216,plain,
    ( ~ spl0_184
    | ~ spl0_103
    | ~ spl0_6
    | ~ spl0_88
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1963,f3082,f3122,f2761,f3192,f3575]) ).

fof(f1963,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f839]) ).

fof(f839,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f646]) ).

fof(f646,axiom,
    ~ ( op(e0,e0) = e4
      & e2 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax646) ).

fof(f5215,plain,
    spl0_475,
    inference(avatar_split_clause,[],[f2306,f5212]) ).

fof(f5212,plain,
    ( spl0_475
  <=> unit = op(e0,inv(e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f2306,plain,
    unit = op(e0,inv(e0)),
    inference(cnf_transformation,[],[f4]) ).

fof(f5210,plain,
    ( ~ spl0_221
    | ~ spl0_132
    | ~ spl0_45
    | ~ spl0_130
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2662,f3039,f3320,f2931,f3328,f3757]) ).

fof(f2662,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1448]) ).

fof(f1448,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f552]) ).

fof(f552,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax552) ).

fof(f5209,plain,
    ( ~ spl0_220
    | ~ spl0_12
    | ~ spl0_132
    | ~ spl0_8
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2043,f2935,f2771,f3328,f2787,f3753]) ).

fof(f2043,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1066]) ).

fof(f1066,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f486]) ).

fof(f486,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(e1,e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax486) ).

fof(f5208,plain,
    ~ spl0_474,
    inference(avatar_split_clause,[],[f1563,f5205]) ).

fof(f5205,plain,
    ( spl0_474
  <=> op(e1,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f1563,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5203,plain,
    spl0_473,
    inference(avatar_split_clause,[],[f2385,f5200]) ).

fof(f5200,plain,
    ( spl0_473
  <=> op(op(e2,e3),e4) = op(e2,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f2385,plain,
    op(op(e2,e3),e4) = op(e2,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5198,plain,
    ( ~ spl0_205
    | ~ spl0_179
    | ~ spl0_18
    | ~ spl0_17
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2562,f2806,f2810,f2814,f3551,f3673]) ).

fof(f2562,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f975]) ).

fof(f975,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e1 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f614]) ).

fof(f614,axiom,
    ~ ( e1 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(e2,e2),e2)
      & e3 = op(e2,e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax614) ).

fof(f5197,plain,
    ~ spl0_472,
    inference(avatar_split_clause,[],[f1712,f5194]) ).

fof(f5194,plain,
    ( spl0_472
  <=> op(e5,e3) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f1712,plain,
    op(e5,e3) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5192,plain,
    spl0_471,
    inference(avatar_split_clause,[],[f2433,f5189]) ).

fof(f5189,plain,
    ( spl0_471
  <=> op(op(e3,e2),e5) = op(e3,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f2433,plain,
    op(op(e3,e2),e5) = op(e3,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5187,plain,
    ( ~ spl0_75
    | ~ spl0_168
    | ~ spl0_151
    | ~ spl0_224
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2697,f3476,f3774,f3417,f3495,f3066]) ).

fof(f2697,plain,
    ( op(e0,e0) != e5
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f931]) ).

fof(f931,plain,
    ( e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e5
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f196]) ).

fof(f196,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & op(e0,e0) = e5
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax196) ).

fof(f5186,plain,
    ( ~ spl0_77
    | ~ spl0_184
    | ~ spl0_91
    | ~ spl0_89
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2552,f3070,f3126,f3134,f3575,f3074]) ).

fof(f2552,plain,
    ( op(e0,e0) != e2
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f893]) ).

fof(f893,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f596]) ).

fof(f596,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e2
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax596) ).

fof(f5185,plain,
    ( spl0_158
    | spl0_9
    | spl0_470
    | spl0_70
    | spl0_132
    | spl0_49 ),
    inference(avatar_split_clause,[],[f2187,f2947,f3328,f3043,f5182,f2775,f3447]) ).

fof(f5182,plain,
    ( spl0_470
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f2187,plain,
    ( e3 = op(e1,e1)
    | e0 = op(e1,e1)
    | e4 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1)
    | e5 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5180,plain,
    ( ~ spl0_107
    | ~ spl0_6
    | ~ spl0_103
    | ~ spl0_4
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1775,f3575,f2753,f3192,f2761,f3211]) ).

fof(f1775,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e4
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1266]) ).

fof(f1266,plain,
    ( op(e0,e0) != e4
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f298]) ).

fof(f298,axiom,
    ~ ( op(e0,e0) = e4
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax298) ).

fof(f5179,plain,
    ( ~ spl0_71
    | ~ spl0_220
    | ~ spl0_69
    | ~ spl0_221
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2143,f2947,f3757,f3039,f3753,f3048]) ).

fof(f2143,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f758]) ).

fof(f758,plain,
    ( e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ~ ( e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(e1,e1),e1)
      & e3 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f5178,plain,
    ( ~ spl0_25
    | ~ spl0_223
    | ~ spl0_179
    | ~ spl0_134
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2605,f3257,f3337,f3551,f3769,f2845]) ).

fof(f2605,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1249]) ).

fof(f1249,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f703]) ).

fof(f703,axiom,
    ~ ( e0 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax703) ).

fof(f5177,plain,
    ( ~ spl0_227
    | ~ spl0_33
    | ~ spl0_36
    | ~ spl0_35
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1803,f3206,f2887,f2891,f2879,f3789]) ).

fof(f1803,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f963]) ).

fof(f963,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f330]) ).

fof(f330,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax330) ).

fof(f5176,plain,
    ( ~ spl0_113
    | ~ spl0_115
    | ~ spl0_63
    | ~ spl0_278
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2155,f2850,f4076,f3013,f3247,f3239]) ).

fof(f2155,plain,
    ( e4 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1225]) ).

fof(f1225,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f183]) ).

fof(f183,axiom,
    ~ ( e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e4 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax183) ).

fof(f5175,plain,
    ( ~ spl0_30
    | ~ spl0_113
    | ~ spl0_248
    | ~ spl0_160
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2165,f3247,f3457,f3895,f3239,f2866]) ).

fof(f2165,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e0 != op(e5,e5) ),
    inference(cnf_transformation,[],[f947]) ).

fof(f947,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f187]) ).

fof(f187,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e0 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax187) ).

fof(f5174,plain,
    ( ~ spl0_96
    | ~ spl0_65
    | ~ spl0_28
    | ~ spl0_115
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1477,f3457,f3247,f2858,f3021,f3159]) ).

fof(f1477,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f986]) ).

fof(f986,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f139,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5)
      & e3 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).

fof(f5173,plain,
    ( ~ spl0_117
    | ~ spl0_206
    | ~ spl0_81
    | ~ spl0_17
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2586,f3337,f2810,f3091,f3677,f3257]) ).

fof(f2586,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1130]) ).

fof(f1130,plain,
    ( e0 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f389]) ).

fof(f389,axiom,
    ~ ( e5 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax389) ).

fof(f5172,plain,
    ( ~ spl0_82
    | ~ spl0_36
    | ~ spl0_86
    | ~ spl0_34
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1721,f3104,f2883,f3112,f2891,f3096]) ).

fof(f1721,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f824]) ).

fof(f824,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f679]) ).

fof(f679,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax679) ).

fof(f5171,plain,
    ~ spl0_469,
    inference(avatar_split_clause,[],[f1488,f5168]) ).

fof(f5168,plain,
    ( spl0_469
  <=> e0 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f1488,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f5166,plain,
    ( ~ spl0_33
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_99
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2235,f3112,f3173,f2891,f2883,f2879]) ).

fof(f2235,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f861]) ).

fof(f861,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f367]) ).

fof(f367,axiom,
    ~ ( e0 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax367) ).

fof(f5165,plain,
    spl0_468,
    inference(avatar_split_clause,[],[f2349,f5162]) ).

fof(f5162,plain,
    ( spl0_468
  <=> op(op(e5,e4),e2) = op(e5,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f2349,plain,
    op(op(e5,e4),e2) = op(e5,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5160,plain,
    ( ~ spl0_210
    | ~ spl0_212
    | ~ spl0_50
    | ~ spl0_146
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f1518,f3606,f3392,f2952,f3711,f3699]) ).

fof(f1518,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f783]) ).

fof(f783,plain,
    ( e2 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f243]) ).

fof(f243,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e5 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax243) ).

fof(f5159,plain,
    ~ spl0_467,
    inference(avatar_split_clause,[],[f1653,f5156]) ).

fof(f5156,plain,
    ( spl0_467
  <=> op(e1,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f1653,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f5154,plain,
    ~ spl0_466,
    inference(avatar_split_clause,[],[f1679,f5151]) ).

fof(f5151,plain,
    ( spl0_466
  <=> op(e2,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f1679,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f5149,plain,
    ( ~ spl0_163
    | ~ spl0_83
    | ~ spl0_33
    | ~ spl0_32
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1900,f3500,f2875,f2879,f3100,f3471]) ).

fof(f1900,plain,
    ( e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f968]) ).

fof(f968,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(e3,e3),e3)
    | e4 != op(e3,e3) ),
    inference(ennf_transformation,[],[f299]) ).

fof(f299,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax299) ).

fof(f5148,plain,
    spl0_465,
    inference(avatar_split_clause,[],[f2368,f5145]) ).

fof(f5145,plain,
    ( spl0_465
  <=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f2368,plain,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5143,plain,
    ( ~ spl0_107
    | ~ spl0_75
    | ~ spl0_112
    | ~ spl0_6
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2711,f3074,f2761,f3234,f3066,f3211]) ).

fof(f2711,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f973]) ).

fof(f973,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e4
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f308]) ).

fof(f308,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax308) ).

fof(f5142,plain,
    spl0_464,
    inference(avatar_split_clause,[],[f1798,f5139]) ).

fof(f5139,plain,
    ( spl0_464
  <=> e4 = inv(inv(e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f1798,plain,
    e4 = inv(inv(e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f5137,plain,
    ( ~ spl0_230
    | spl0_463 ),
    inference(avatar_split_clause,[],[f2085,f5134,f3804]) ).

fof(f2085,plain,
    ( e0 = inv(e5)
    | e5 != inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f5132,plain,
    ( ~ spl0_158
    | ~ spl0_102
    | ~ spl0_71
    | ~ spl0_46
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2616,f3753,f2935,f3048,f3187,f3447]) ).

fof(f2616,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e5 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1069]) ).

fof(f1069,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ~ ( e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f5131,plain,
    spl0_462,
    inference(avatar_split_clause,[],[f2397,f5128]) ).

fof(f5128,plain,
    ( spl0_462
  <=> op(op(e2,e4),e0) = op(e2,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f2397,plain,
    op(op(e2,e4),e0) = op(e2,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5126,plain,
    spl0_461,
    inference(avatar_split_clause,[],[f2333,f5123]) ).

fof(f5123,plain,
    ( spl0_461
  <=> op(op(e3,e1),e0) = op(e3,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f2333,plain,
    op(op(e3,e1),e0) = op(e3,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5121,plain,
    ( ~ spl0_86
    | ~ spl0_33
    | ~ spl0_36
    | ~ spl0_227
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2617,f3500,f3789,f2891,f2879,f3112]) ).

fof(f2617,plain,
    ( e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1356]) ).

fof(f1356,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f288]) ).

fof(f288,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax288) ).

fof(f5120,plain,
    ~ spl0_460,
    inference(avatar_split_clause,[],[f1713,f5117]) ).

fof(f5117,plain,
    ( spl0_460
  <=> op(e1,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f1713,plain,
    op(e1,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5115,plain,
    ( ~ spl0_18
    | ~ spl0_135
    | ~ spl0_133
    | ~ spl0_16
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2278,f3673,f2806,f3333,f3341,f2814]) ).

fof(f2278,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f762]) ).

fof(f762,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,axiom,
    ~ ( e3 = op(e2,e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).

fof(f5114,plain,
    ( ~ spl0_258
    | ~ spl0_166
    | ~ spl0_191
    | ~ spl0_53
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1779,f3481,f2964,f3610,f3485,f3956]) ).

fof(f1779,plain,
    ( e2 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1098]) ).

fof(f1098,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ~ ( e5 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f5113,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | ~ spl0_187
    | ~ spl0_45
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2623,f3320,f2931,f3591,f2787,f2775]) ).

fof(f2623,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f880]) ).

fof(f880,plain,
    ( e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f611]) ).

fof(f611,axiom,
    ~ ( e3 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax611) ).

fof(f5112,plain,
    ~ spl0_459,
    inference(avatar_split_clause,[],[f1734,f5109]) ).

fof(f5109,plain,
    ( spl0_459
  <=> inv(e2) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f1734,plain,
    inv(e2) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f5107,plain,
    ~ spl0_458,
    inference(avatar_split_clause,[],[f1497,f5104]) ).

fof(f5104,plain,
    ( spl0_458
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f1497,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f5102,plain,
    ( ~ spl0_220
    | ~ spl0_221
    | ~ spl0_187
    | ~ spl0_8
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1476,f3447,f2771,f3591,f3757,f3753]) ).

fof(f1476,plain,
    ( e5 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1212]) ).

fof(f1212,plain,
    ( e5 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f437]) ).

fof(f437,axiom,
    ~ ( e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(e1,e1),e1)
      & e5 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax437) ).

fof(f5101,plain,
    ( ~ spl0_122
    | ~ spl0_190
    | ~ spl0_142
    | ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2682,f2960,f2956,f3375,f3606,f3282]) ).

fof(f2682,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1208]) ).

fof(f1208,plain,
    ( e0 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f649]) ).

fof(f649,axiom,
    ~ ( e0 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax649) ).

fof(f5100,plain,
    spl0_457,
    inference(avatar_split_clause,[],[f2312,f5097]) ).

fof(f5097,plain,
    ( spl0_457
  <=> unit = op(inv(e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f2312,plain,
    unit = op(inv(e5),e5),
    inference(cnf_transformation,[],[f4]) ).

fof(f5095,plain,
    ( spl0_451
    | spl0_452
    | spl0_453
    | spl0_454
    | spl0_455
    | spl0_456 ),
    inference(avatar_split_clause,[],[f2211,f5092,f5088,f5084,f5080,f5076,f5072]) ).

fof(f5072,plain,
    ( spl0_451
  <=> e5 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f5076,plain,
    ( spl0_452
  <=> e1 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f5080,plain,
    ( spl0_453
  <=> e0 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f5084,plain,
    ( spl0_454
  <=> e2 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f5088,plain,
    ( spl0_455
  <=> e3 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f5092,plain,
    ( spl0_456
  <=> e4 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f2211,plain,
    ( e4 = op(e5,e1)
    | e3 = op(e5,e1)
    | e2 = op(e5,e1)
    | e0 = op(e5,e1)
    | e1 = op(e5,e1)
    | e5 = op(e5,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5070,plain,
    ( ~ spl0_187
    | ~ spl0_68
    | ~ spl0_158
    | ~ spl0_102
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1891,f2931,f3187,f3447,f3035,f3591]) ).

fof(f1891,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f977]) ).

fof(f977,plain,
    ( e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f581]) ).

fof(f581,axiom,
    ~ ( e5 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax581) ).

fof(f5069,plain,
    ( ~ spl0_206
    | ~ spl0_177
    | ~ spl0_133
    | ~ spl0_309
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f1505,f3673,f4248,f3333,f3543,f3677]) ).

fof(f1505,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1430]) ).

fof(f1430,plain,
    ( e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f468]) ).

fof(f468,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax468) ).

fof(f5068,plain,
    ( ~ spl0_183
    | ~ spl0_112
    | ~ spl0_107
    | ~ spl0_151
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1756,f3066,f3417,f3211,f3234,f3571]) ).

fof(f1756,plain,
    ( e3 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f908]) ).

fof(f908,plain,
    ( op(e0,e0) != e1
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f314]) ).

fof(f314,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e1
      & e4 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax314) ).

fof(f5067,plain,
    ( spl0_445
    | spl0_446
    | spl0_447
    | spl0_448
    | spl0_449
    | spl0_450 ),
    inference(avatar_split_clause,[],[f2189,f5064,f5060,f5056,f5052,f5048,f5044]) ).

fof(f5044,plain,
    ( spl0_445
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f5048,plain,
    ( spl0_446
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f5052,plain,
    ( spl0_447
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f5056,plain,
    ( spl0_448
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f5060,plain,
    ( spl0_449
  <=> e5 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f5064,plain,
    ( spl0_450
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f2189,plain,
    ( e3 = op(e3,e2)
    | e5 = op(e3,e2)
    | e2 = op(e3,e2)
    | e4 = op(e3,e2)
    | e0 = op(e3,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5042,plain,
    spl0_444,
    inference(avatar_split_clause,[],[f2029,f5039]) ).

fof(f2029,plain,
    op(e0,e2) = op(e2,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f5037,plain,
    ( ~ spl0_309
    | ~ spl0_19
    | ~ spl0_263
    | ~ spl0_22
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f2322,f3769,f2833,f3986,f2818,f4248]) ).

fof(f2322,plain,
    ( e3 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1227]) ).

fof(f1227,plain,
    ( e4 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f182]) ).

fof(f182,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(e2,e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax182) ).

fof(f5036,plain,
    ( ~ spl0_213
    | ~ spl0_122
    | ~ spl0_51
    | ~ spl0_143
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f1860,f3606,f3380,f2956,f3282,f3715]) ).

fof(f1860,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1170]) ).

fof(f1170,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f282,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(e4,e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e0 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax282) ).

fof(f5035,plain,
    ( ~ spl0_99
    | ~ spl0_33
    | ~ spl0_85
    | ~ spl0_124
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1872,f3202,f3291,f3108,f2879,f3173]) ).

fof(f1872,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f923]) ).

fof(f923,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f348]) ).

fof(f348,axiom,
    ~ ( e5 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e1 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax348) ).

fof(f5034,plain,
    ( ~ spl0_48
    | ~ spl0_8
    | ~ spl0_46
    | ~ spl0_220
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2110,f3447,f3753,f2935,f2771,f2943]) ).

fof(f2110,plain,
    ( e5 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1224]) ).

fof(f1224,plain,
    ( e0 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1) ),
    inference(ennf_transformation,[],[f388]) ).

fof(f388,axiom,
    ~ ( e0 = op(op(e1,e1),e1)
      & e5 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax388) ).

fof(f5033,plain,
    ( ~ spl0_48
    | ~ spl0_68
    | ~ spl0_158
    | ~ spl0_11
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2626,f2771,f2783,f3447,f3035,f2943]) ).

fof(f2626,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1059]) ).

fof(f1059,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f382]) ).

fof(f382,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1)
      & e2 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax382) ).

fof(f5032,plain,
    ( ~ spl0_75
    | ~ spl0_6
    | ~ spl0_4
    | ~ spl0_107
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1819,f2745,f3211,f2753,f2761,f3066]) ).

fof(f1819,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f974]) ).

fof(f974,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e4
    | e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f322]) ).

fof(f322,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e4
      & e5 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax322) ).

fof(f5031,plain,
    spl0_443,
    inference(avatar_split_clause,[],[f2020,f5028]) ).

fof(f2020,plain,
    op(e0,e4) = op(e4,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f5026,plain,
    spl0_442,
    inference(avatar_split_clause,[],[f2396,f5023]) ).

fof(f5023,plain,
    ( spl0_442
  <=> op(op(e4,e1),e4) = op(e4,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f2396,plain,
    op(op(e4,e1),e4) = op(e4,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5021,plain,
    ~ spl0_441,
    inference(avatar_split_clause,[],[f1630,f5018]) ).

fof(f5018,plain,
    ( spl0_441
  <=> op(e4,e3) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f1630,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5016,plain,
    ( ~ spl0_31
    | ~ spl0_170
    | ~ spl0_175
    | ~ spl0_129
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2098,f3243,f3315,f3532,f3506,f2870]) ).

fof(f2098,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1202]) ).

fof(f1202,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f435]) ).

fof(f435,axiom,
    ~ ( e1 = op(e5,e5)
      & e2 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax435) ).

fof(f5015,plain,
    ~ spl0_440,
    inference(avatar_split_clause,[],[f1618,f5012]) ).

fof(f5012,plain,
    ( spl0_440
  <=> op(e3,e0) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f1618,plain,
    op(e3,e0) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5010,plain,
    ( spl0_434
    | spl0_435
    | spl0_436
    | spl0_437
    | spl0_438
    | spl0_439 ),
    inference(avatar_split_clause,[],[f2195,f5007,f5003,f4999,f4995,f4991,f4987]) ).

fof(f4987,plain,
    ( spl0_434
  <=> e4 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f4991,plain,
    ( spl0_435
  <=> e5 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f4995,plain,
    ( spl0_436
  <=> e1 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f4999,plain,
    ( spl0_437
  <=> e3 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f5003,plain,
    ( spl0_438
  <=> e0 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f5007,plain,
    ( spl0_439
  <=> e2 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f2195,plain,
    ( e2 = op(e5,e0)
    | e0 = op(e5,e0)
    | e3 = op(e5,e0)
    | e1 = op(e5,e0)
    | e5 = op(e5,e0)
    | e4 = op(e5,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4985,plain,
    ~ spl0_433,
    inference(avatar_split_clause,[],[f1737,f4982]) ).

fof(f4982,plain,
    ( spl0_433
  <=> inv(e0) = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f1737,plain,
    inv(e0) != inv(e3),
    inference(cnf_transformation,[],[f8]) ).

fof(f4980,plain,
    ( ~ spl0_205
    | ~ spl0_204
    | ~ spl0_179
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1463,f2845,f2837,f3551,f3669,f3673]) ).

fof(f1463,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1219]) ).

fof(f1219,plain,
    ( e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f648]) ).

fof(f648,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e0 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax648) ).

fof(f4979,plain,
    ( ~ spl0_243
    | ~ spl0_29
    | ~ spl0_96
    | ~ spl0_160
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1993,f3155,f3457,f3159,f2862,f3868]) ).

fof(f1993,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f996]) ).

fof(f996,plain,
    ( e3 != op(e5,e5)
    | e0 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f253]) ).

fof(f253,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax253) ).

fof(f4978,plain,
    ~ spl0_432,
    inference(avatar_split_clause,[],[f1566,f4975]) ).

fof(f4975,plain,
    ( spl0_432
  <=> op(e1,e5) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f1566,plain,
    op(e1,e5) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4973,plain,
    ( ~ spl0_143
    | ~ spl0_189
    | ~ spl0_190
    | ~ spl0_213
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1879,f3556,f3715,f3606,f3602,f3380]) ).

fof(f1879,plain,
    ( e1 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1241]) ).

fof(f1241,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f258]) ).

fof(f258,axiom,
    ~ ( e0 = op(op(e4,e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax258) ).

fof(f4972,plain,
    spl0_431,
    inference(avatar_split_clause,[],[f1765,f4969]) ).

fof(f4969,plain,
    ( spl0_431
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f1765,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f4967,plain,
    ( ~ spl0_115
    | ~ spl0_278
    | ~ spl0_160
    | ~ spl0_113
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2648,f2858,f3239,f3457,f4076,f3247]) ).

fof(f2648,plain,
    ( e2 != op(e5,e5)
    | e3 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1384]) ).

fof(f1384,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f181]) ).

fof(f181,axiom,
    ~ ( e0 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e2 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax181) ).

fof(f4966,plain,
    spl0_430,
    inference(avatar_split_clause,[],[f2488,f4963]) ).

fof(f4963,plain,
    ( spl0_430
  <=> op(op(e5,e3),e0) = op(e5,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f2488,plain,
    op(op(e5,e3),e0) = op(e5,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4961,plain,
    spl0_343,
    inference(avatar_split_clause,[],[f2008,f4450]) ).

fof(f4450,plain,
    ( spl0_343
  <=> op(e1,e3) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f2008,plain,
    op(e1,e3) = op(e3,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f4960,plain,
    spl0_429,
    inference(avatar_split_clause,[],[f2329,f4957]) ).

fof(f4957,plain,
    ( spl0_429
  <=> op(op(e0,e1),e0) = op(e0,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f2329,plain,
    op(op(e0,e1),e0) = op(e0,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4955,plain,
    ( ~ spl0_123
    | ~ spl0_84
    | ~ spl0_162
    | ~ spl0_34
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2712,f3112,f2883,f3467,f3104,f3287]) ).

fof(f2712,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1339]) ).

fof(f1339,plain,
    ( e2 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f633]) ).

fof(f633,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax633) ).

fof(f4954,plain,
    ( ~ spl0_123
    | ~ spl0_162
    | ~ spl0_34
    | ~ spl0_298
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1905,f2875,f4187,f2883,f3467,f3287]) ).

fof(f1905,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1026]) ).

fof(f1026,plain,
    ( e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f513]) ).

fof(f513,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(e3,e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax513) ).

fof(f4953,plain,
    spl0_428,
    inference(avatar_split_clause,[],[f2490,f4950]) ).

fof(f4950,plain,
    ( spl0_428
  <=> op(op(e0,e3),e1) = op(e0,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f2490,plain,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4948,plain,
    spl0_427,
    inference(avatar_split_clause,[],[f2432,f4945]) ).

fof(f4945,plain,
    ( spl0_427
  <=> op(op(e2,e4),e1) = op(e2,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f2432,plain,
    op(op(e2,e4),e1) = op(e2,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4943,plain,
    ~ spl0_426,
    inference(avatar_split_clause,[],[f1605,f4940]) ).

fof(f4940,plain,
    ( spl0_426
  <=> op(e1,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f1605,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4938,plain,
    ( ~ spl0_45
    | ~ spl0_130
    | ~ spl0_48
    | ~ spl0_69
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1962,f2775,f3039,f2943,f3320,f2931]) ).

fof(f1962,plain,
    ( e2 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1056]) ).

fof(f1056,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f506]) ).

fof(f506,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax506) ).

fof(f4937,plain,
    spl0_425,
    inference(avatar_split_clause,[],[f2527,f4934]) ).

fof(f4934,plain,
    ( spl0_425
  <=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f2527,plain,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4932,plain,
    ( ~ spl0_204
    | ~ spl0_80
    | ~ spl0_135
    | ~ spl0_117
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1502,f3091,f3257,f3341,f3087,f3669]) ).

fof(f1502,plain,
    ( e5 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f867]) ).

fof(f867,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e5 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f4931,plain,
    ( ~ spl0_141
    | ~ spl0_210
    | ~ spl0_121
    | ~ spl0_51
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f2215,f3610,f2956,f3278,f3699,f3371]) ).

fof(f2215,plain,
    ( e5 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f967]) ).

fof(f967,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f407]) ).

fof(f407,axiom,
    ~ ( e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(e4,e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax407) ).

fof(f4930,plain,
    ( ~ spl0_133
    | ~ spl0_177
    | ~ spl0_205
    | ~ spl0_23
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1468,f3341,f2837,f3673,f3543,f3333]) ).

fof(f1468,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1126]) ).

fof(f1126,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(e2,e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).

fof(f4929,plain,
    spl0_424,
    inference(avatar_split_clause,[],[f2532,f4926]) ).

fof(f4926,plain,
    ( spl0_424
  <=> op(op(e5,e5),e3) = op(e5,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f2532,plain,
    op(op(e5,e5),e3) = op(e5,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4924,plain,
    ( ~ spl0_141
    | ~ spl0_144
    | ~ spl0_140
    | ~ spl0_122
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1980,f3481,f3282,f3367,f3384,f3371]) ).

fof(f1980,plain,
    ( e2 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1336]) ).

fof(f1336,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f439]) ).

fof(f439,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e0 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax439) ).

fof(f4923,plain,
    ( ~ spl0_163
    | ~ spl0_83
    | ~ spl0_188
    | ~ spl0_99
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2285,f3225,f3173,f3597,f3100,f3471]) ).

fof(f2285,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1016]) ).

fof(f1016,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f239]) ).

fof(f239,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(e3,e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax239) ).

fof(f4922,plain,
    ~ spl0_423,
    inference(avatar_split_clause,[],[f1656,f4919]) ).

fof(f4919,plain,
    ( spl0_423
  <=> op(e4,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f1656,plain,
    op(e4,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4917,plain,
    ~ spl0_422,
    inference(avatar_split_clause,[],[f1552,f4914]) ).

fof(f4914,plain,
    ( spl0_422
  <=> op(e1,e2) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f1552,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4912,plain,
    ~ spl0_421,
    inference(avatar_split_clause,[],[f1536,f4909]) ).

fof(f4909,plain,
    ( spl0_421
  <=> op(e0,e1) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f1536,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4907,plain,
    spl0_420,
    inference(avatar_split_clause,[],[f2362,f4904]) ).

fof(f4904,plain,
    ( spl0_420
  <=> op(op(e1,e4),e0) = op(e1,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f2362,plain,
    op(op(e1,e4),e0) = op(e1,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4902,plain,
    ( ~ spl0_4
    | ~ spl0_78
    | ~ spl0_103
    | ~ spl0_5
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1838,f3070,f2757,f3192,f3078,f2753]) ).

fof(f1838,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1349]) ).

fof(f1349,plain,
    ( e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f416]) ).

fof(f416,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e2
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax416) ).

fof(f4901,plain,
    spl0_419,
    inference(avatar_split_clause,[],[f2497,f4898]) ).

fof(f4898,plain,
    ( spl0_419
  <=> op(op(e4,e1),e3) = op(e4,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f2497,plain,
    op(op(e4,e1),e3) = op(e4,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4896,plain,
    ( ~ spl0_142
    | ~ spl0_140
    | ~ spl0_212
    | ~ spl0_145
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1809,f3602,f3388,f3711,f3367,f3375]) ).

fof(f1809,plain,
    ( e0 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f817]) ).

fof(f817,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f153,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(e4,e4),e4)
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).

fof(f4895,plain,
    ~ spl0_418,
    inference(avatar_split_clause,[],[f1683,f4892]) ).

fof(f4892,plain,
    ( spl0_418
  <=> op(e1,e1) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f1683,plain,
    op(e1,e1) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4890,plain,
    spl0_417,
    inference(avatar_split_clause,[],[f2434,f4887]) ).

fof(f4887,plain,
    ( spl0_417
  <=> op(op(e1,e4),e5) = op(e1,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f2434,plain,
    op(op(e1,e4),e5) = op(e1,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4885,plain,
    ( ~ spl0_70
    | ~ spl0_73
    | ~ spl0_221
    | ~ spl0_10
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2611,f3183,f2779,f3757,f3056,f3043]) ).

fof(f2611,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1436]) ).

fof(f1436,plain,
    ( e2 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1) ),
    inference(ennf_transformation,[],[f664]) ).

fof(f664,axiom,
    ~ ( e4 = op(e1,e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax664) ).

fof(f4884,plain,
    ( ~ spl0_145
    | ~ spl0_258
    | ~ spl0_146
    | ~ spl0_142
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1897,f3485,f3375,f3392,f3956,f3388]) ).

fof(f1897,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1237]) ).

fof(f1237,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,axiom,
    ~ ( e5 = op(op(e4,e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(e4,e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).

fof(f4883,plain,
    ( ~ spl0_204
    | ~ spl0_19
    | ~ spl0_117
    | ~ spl0_25
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f1462,f3677,f2845,f3257,f2818,f3669]) ).

fof(f1462,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f971]) ).

fof(f971,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f408]) ).

fof(f408,axiom,
    ~ ( e1 = op(op(e2,e2),e2)
      & e0 = op(e2,e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax408) ).

fof(f4882,plain,
    spl0_416,
    inference(avatar_split_clause,[],[f2437,f4879]) ).

fof(f4879,plain,
    ( spl0_416
  <=> op(op(e5,e2),e3) = op(e5,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f2437,plain,
    op(op(e5,e2),e3) = op(e5,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4877,plain,
    spl0_415,
    inference(avatar_split_clause,[],[f2519,f4874]) ).

fof(f4874,plain,
    ( spl0_415
  <=> op(op(e4,e1),e0) = op(e4,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f2519,plain,
    op(op(e4,e1),e0) = op(e4,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4872,plain,
    ~ spl0_414,
    inference(avatar_split_clause,[],[f1644,f4869]) ).

fof(f4869,plain,
    ( spl0_414
  <=> op(e4,e2) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f1644,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4867,plain,
    ~ spl0_413,
    inference(avatar_split_clause,[],[f1698,f4864]) ).

fof(f4864,plain,
    ( spl0_413
  <=> op(e0,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f1698,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f4862,plain,
    ( ~ spl0_101
    | ~ spl0_48
    | ~ spl0_220
    | ~ spl0_46
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2059,f2947,f2935,f3753,f2943,f3183]) ).

fof(f2059,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1440]) ).

fof(f1440,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f634]) ).

fof(f634,axiom,
    ~ ( e3 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax634) ).

fof(f4861,plain,
    ~ spl0_412,
    inference(avatar_split_clause,[],[f1608,f4858]) ).

fof(f4858,plain,
    ( spl0_412
  <=> op(e0,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f1608,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4856,plain,
    ( ~ spl0_115
    | ~ spl0_248
    | ~ spl0_30
    | ~ spl0_171
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f1510,f3891,f3510,f2866,f3895,f3247]) ).

fof(f1510,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1108]) ).

fof(f1108,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5) ),
    inference(ennf_transformation,[],[f211]) ).

fof(f211,axiom,
    ~ ( e0 = op(e5,e5)
      & e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax211) ).

fof(f4855,plain,
    spl0_411,
    inference(avatar_split_clause,[],[f1764,f4852]) ).

fof(f4852,plain,
    ( spl0_411
  <=> e5 = op(unit,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f1764,plain,
    e5 = op(unit,e5),
    inference(cnf_transformation,[],[f3]) ).

fof(f4850,plain,
    spl0_410,
    inference(avatar_split_clause,[],[f2481,f4847]) ).

fof(f4847,plain,
    ( spl0_410
  <=> op(op(e4,e1),e1) = op(e4,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f2481,plain,
    op(op(e4,e1),e1) = op(e4,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4845,plain,
    spl0_314,
    inference(avatar_split_clause,[],[f2024,f4290]) ).

fof(f4290,plain,
    ( spl0_314
  <=> op(e0,e3) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f2024,plain,
    op(e0,e3) = op(e3,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f4844,plain,
    ( ~ spl0_50
    | ~ spl0_51
    | ~ spl0_53
    | ~ spl0_166
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2102,f3367,f3485,f2964,f2956,f2952]) ).

fof(f2102,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1180]) ).

fof(f1180,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ~ ( e5 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(e4,e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f4843,plain,
    ( ~ spl0_75
    | ~ spl0_183
    | ~ spl0_224
    | ~ spl0_151
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2668,f3082,f3417,f3774,f3571,f3066]) ).

fof(f2668,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1168]) ).

fof(f1168,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f704]) ).

fof(f704,axiom,
    ~ ( op(e0,e0) = e1
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax704) ).

fof(f4842,plain,
    ~ spl0_409,
    inference(avatar_split_clause,[],[f1705,f4839]) ).

fof(f4839,plain,
    ( spl0_409
  <=> op(e2,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f1705,plain,
    op(e2,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4837,plain,
    spl0_408,
    inference(avatar_split_clause,[],[f2310,f4834]) ).

fof(f4834,plain,
    ( spl0_408
  <=> unit = op(e3,inv(e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f2310,plain,
    unit = op(e3,inv(e3)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4832,plain,
    spl0_407,
    inference(avatar_split_clause,[],[f1801,f4829]) ).

fof(f4829,plain,
    ( spl0_407
  <=> e1 = inv(inv(e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f1801,plain,
    e1 = inv(inv(e1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f4827,plain,
    ~ spl0_406,
    inference(avatar_split_clause,[],[f1692,f4824]) ).

fof(f4824,plain,
    ( spl0_406
  <=> op(e2,e1) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f1692,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4822,plain,
    spl0_405,
    inference(avatar_split_clause,[],[f1767,f4819]) ).

fof(f4819,plain,
    ( spl0_405
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f1767,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f4817,plain,
    ( ~ spl0_75
    | ~ spl0_151
    | ~ spl0_76
    | ~ spl0_79
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1934,f2745,f3082,f3070,f3417,f3066]) ).

fof(f1934,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2
    | e4 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1296]) ).

fof(f1296,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f706]) ).

fof(f706,axiom,
    ~ ( op(e0,e0) = e2
      & e4 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax706) ).

fof(f4816,plain,
    ( ~ spl0_109
    | ~ spl0_298
    | ~ spl0_82
    | ~ spl0_124
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1907,f2883,f3291,f3096,f4187,f3221]) ).

fof(f1907,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1324]) ).

fof(f1324,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f545]) ).

fof(f545,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e5 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax545) ).

fof(f4815,plain,
    ( ~ spl0_309
    | ~ spl0_15
    | ~ spl0_177
    | ~ spl0_19
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1509,f3769,f2818,f3543,f2802,f4248]) ).

fof(f1509,plain,
    ( e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f924]) ).

fof(f924,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f564]) ).

fof(f564,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax564) ).

fof(f4814,plain,
    ( ~ spl0_239
    | spl0_404 ),
    inference(avatar_split_clause,[],[f2082,f4811,f3849]) ).

fof(f2082,plain,
    ( e2 = inv(e5)
    | e5 != inv(e2) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f4809,plain,
    ( ~ spl0_258
    | ~ spl0_50
    | ~ spl0_210
    | ~ spl0_146
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1512,f3371,f3392,f3699,f2952,f3956]) ).

fof(f1512,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1068]) ).

fof(f1068,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f477]) ).

fof(f477,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(e4,e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax477) ).

fof(f4808,plain,
    ( ~ spl0_66
    | ~ spl0_247
    | ~ spl0_28
    | ~ spl0_96
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f1521,f3868,f3159,f2858,f3891,f3025]) ).

fof(f1521,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1082]) ).

fof(f1082,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f493]) ).

fof(f493,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax493) ).

fof(f4807,plain,
    ( ~ spl0_220
    | ~ spl0_8
    | ~ spl0_48
    | ~ spl0_9
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2256,f3039,f2775,f2943,f2771,f3753]) ).

fof(f2256,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1404]) ).

fof(f1404,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f386]) ).

fof(f386,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e2 = op(e1,e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax386) ).

fof(f4806,plain,
    ( ~ spl0_85
    | ~ spl0_105
    | ~ spl0_32
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1961,f3467,f2879,f2875,f3202,f3108]) ).

fof(f1961,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1248]) ).

fof(f1248,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f270]) ).

fof(f270,axiom,
    ~ ( e1 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(e3,e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax270) ).

fof(f4805,plain,
    ~ spl0_403,
    inference(avatar_split_clause,[],[f1609,f4802]) ).

fof(f4802,plain,
    ( spl0_403
  <=> op(e0,e0) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f1609,plain,
    op(e0,e0) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4800,plain,
    spl0_402,
    inference(avatar_split_clause,[],[f2485,f4797]) ).

fof(f4797,plain,
    ( spl0_402
  <=> op(op(e0,e5),e2) = op(e0,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f2485,plain,
    op(op(e0,e5),e2) = op(e0,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4795,plain,
    ~ spl0_401,
    inference(avatar_split_clause,[],[f1730,f4792]) ).

fof(f4792,plain,
    ( spl0_401
  <=> inv(e0) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f1730,plain,
    inv(e0) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f4790,plain,
    ( ~ spl0_160
    | ~ spl0_150
    | ~ spl0_113
    | ~ spl0_248
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2720,f2870,f3895,f3239,f3412,f3457]) ).

fof(f2720,plain,
    ( e1 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1003]) ).

fof(f1003,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e1 != op(e5,e5) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e1 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f4789,plain,
    ~ spl0_400,
    inference(avatar_split_clause,[],[f1681,f4786]) ).

fof(f4786,plain,
    ( spl0_400
  <=> op(e4,e1) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f1681,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4784,plain,
    ( ~ spl0_68
    | ~ spl0_12
    | ~ spl0_71
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1806,f2947,f2783,f3048,f2787,f3035]) ).

fof(f1806,plain,
    ( e3 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1019]) ).

fof(f1019,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).

fof(f4783,plain,
    ( ~ spl0_104
    | ~ spl0_89
    | ~ spl0_183
    | ~ spl0_224
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2274,f3134,f3774,f3571,f3126,f3196]) ).

fof(f2274,plain,
    ( e5 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1067]) ).

fof(f1067,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f608]) ).

fof(f608,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax608) ).

fof(f4782,plain,
    spl0_399,
    inference(avatar_split_clause,[],[f2475,f4779]) ).

fof(f4779,plain,
    ( spl0_399
  <=> op(op(e2,e3),e5) = op(e2,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f2475,plain,
    op(op(e2,e3),e5) = op(e2,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4777,plain,
    ( ~ spl0_89
    | ~ spl0_3
    | ~ spl0_164
    | ~ spl0_184
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2168,f3074,f3575,f3476,f2749,f3126]) ).

fof(f2168,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f983]) ).

fof(f983,plain,
    ( e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e5
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f550]) ).

fof(f550,axiom,
    ~ ( e1 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax550) ).

fof(f4776,plain,
    spl0_398,
    inference(avatar_split_clause,[],[f2340,f4773]) ).

fof(f4773,plain,
    ( spl0_398
  <=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f2340,plain,
    op(op(e1,e2),e3) = op(e1,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4771,plain,
    spl0_397,
    inference(avatar_split_clause,[],[f2416,f4768]) ).

fof(f4768,plain,
    ( spl0_397
  <=> op(op(e1,e4),e2) = op(e1,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f2416,plain,
    op(op(e1,e4),e2) = op(e1,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4766,plain,
    ( ~ spl0_35
    | ~ spl0_188
    | ~ spl0_109
    | ~ spl0_83
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2039,f3225,f3100,f3221,f3597,f2887]) ).

fof(f2039,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1150]) ).

fof(f1150,plain,
    ( e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f215]) ).

fof(f215,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(e3,e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax215) ).

fof(f4765,plain,
    spl0_396,
    inference(avatar_split_clause,[],[f2400,f4762]) ).

fof(f4762,plain,
    ( spl0_396
  <=> op(op(e5,e3),e5) = op(e5,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f2400,plain,
    op(op(e5,e3),e5) = op(e5,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4760,plain,
    ( ~ spl0_258
    | ~ spl0_191
    | ~ spl0_143
    | ~ spl0_189
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2676,f2964,f3602,f3380,f3610,f3956]) ).

fof(f2676,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f760]) ).

fof(f760,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f257]) ).

fof(f257,axiom,
    ~ ( e0 = op(op(e4,e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e5 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax257) ).

fof(f4759,plain,
    spl0_395,
    inference(avatar_split_clause,[],[f2423,f4756]) ).

fof(f4756,plain,
    ( spl0_395
  <=> op(op(e4,e2),e0) = op(e4,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f2423,plain,
    op(op(e4,e2),e0) = op(e4,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4754,plain,
    ( ~ spl0_81
    | ~ spl0_178
    | ~ spl0_223
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1950,f3257,f2833,f3769,f3547,f3091]) ).

fof(f1950,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f902]) ).

fof(f902,plain,
    ( e3 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2) ),
    inference(ennf_transformation,[],[f197]) ).

fof(f197,axiom,
    ~ ( e5 = op(e2,e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax197) ).

fof(f4753,plain,
    ~ spl0_394,
    inference(avatar_split_clause,[],[f1662,f4750]) ).

fof(f4750,plain,
    ( spl0_394
  <=> op(e5,e0) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f1662,plain,
    op(e5,e0) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4748,plain,
    ( ~ spl0_111
    | ~ spl0_105
    | ~ spl0_32
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2283,f3500,f3287,f2875,f3202,f3229]) ).

fof(f2283,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f788]) ).

fof(f788,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(e3,e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f4747,plain,
    ( ~ spl0_184
    | ~ spl0_164
    | ~ spl0_89
    | ~ spl0_103
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2647,f3122,f3192,f3126,f3476,f3575]) ).

fof(f2647,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f825]) ).

fof(f825,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f526]) ).

fof(f526,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax526) ).

fof(f4746,plain,
    spl0_393,
    inference(avatar_split_clause,[],[f2375,f4743]) ).

fof(f4743,plain,
    ( spl0_393
  <=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f2375,plain,
    op(op(e2,e3),e2) = op(e2,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4741,plain,
    ( ~ spl0_18
    | ~ spl0_178
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f1986,f3665,f2841,f2833,f3547,f2814]) ).

fof(f1986,plain,
    ( e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1405]) ).

fof(f1405,plain,
    ( e3 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f227]) ).

fof(f227,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax227) ).

fof(f4740,plain,
    ~ spl0_392,
    inference(avatar_split_clause,[],[f1640,f4737]) ).

fof(f4737,plain,
    ( spl0_392
  <=> op(e2,e3) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f1640,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4735,plain,
    spl0_391,
    inference(avatar_split_clause,[],[f2363,f4732]) ).

fof(f4732,plain,
    ( spl0_391
  <=> op(op(e4,e3),e1) = op(e4,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f2363,plain,
    op(op(e4,e3),e1) = op(e4,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4730,plain,
    ( ~ spl0_110
    | ~ spl0_298
    | ~ spl0_85
    | ~ spl0_162
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f1849,f3789,f3467,f3108,f4187,f3225]) ).

fof(f1849,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f815]) ).

fof(f815,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f498]) ).

fof(f498,axiom,
    ~ ( e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(e3,e3)
      & e2 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax498) ).

fof(f4729,plain,
    ( ~ spl0_112
    | ~ spl0_104
    | ~ spl0_183
    | ~ spl0_3
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2658,f3126,f2749,f3571,f3196,f3234]) ).

fof(f2658,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f1244,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f554]) ).

fof(f554,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(e0,e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax554) ).

fof(f4728,plain,
    ~ spl0_390,
    inference(avatar_split_clause,[],[f1543,f4725]) ).

fof(f4725,plain,
    ( spl0_390
  <=> op(e4,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f1543,plain,
    op(e4,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f4723,plain,
    ( ~ spl0_83
    | ~ spl0_298
    | ~ spl0_32
    | ~ spl0_169
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1867,f3287,f3500,f2875,f4187,f3100]) ).

fof(f1867,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f843]) ).

fof(f843,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f537]) ).

fof(f537,axiom,
    ~ ( e2 = op(e3,e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(e3,e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax537) ).

fof(f4722,plain,
    spl0_389,
    inference(avatar_split_clause,[],[f2327,f4719]) ).

fof(f4719,plain,
    ( spl0_389
  <=> op(op(e0,e2),e5) = op(e0,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f2327,plain,
    op(op(e0,e2),e5) = op(e0,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4717,plain,
    spl0_388,
    inference(avatar_split_clause,[],[f2498,f4714]) ).

fof(f4714,plain,
    ( spl0_388
  <=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f2498,plain,
    op(op(e2,e3),e3) = op(e2,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4712,plain,
    ( ~ spl0_81
    | ~ spl0_206
    | ~ spl0_204
    | ~ spl0_117
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1889,f3547,f3257,f3669,f3677,f3091]) ).

fof(f1889,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1444]) ).

fof(f1444,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(ennf_transformation,[],[f413]) ).

fof(f413,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax413) ).

fof(f4711,plain,
    ( ~ spl0_220
    | ~ spl0_131
    | ~ spl0_158
    | ~ spl0_102
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1453,f3591,f3187,f3447,f3324,f3753]) ).

fof(f1453,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1321]) ).

fof(f1321,plain,
    ( e5 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f317]) ).

fof(f317,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax317) ).

fof(f4710,plain,
    ~ spl0_387,
    inference(avatar_split_clause,[],[f1556,f4707]) ).

fof(f4707,plain,
    ( spl0_387
  <=> op(e0,e0) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f1556,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4705,plain,
    spl0_386,
    inference(avatar_split_clause,[],[f2409,f4702]) ).

fof(f4702,plain,
    ( spl0_386
  <=> op(op(e1,e4),e4) = op(e1,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f2409,plain,
    op(op(e1,e4),e4) = op(e1,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4700,plain,
    ( ~ spl0_309
    | ~ spl0_223
    | ~ spl0_179
    | ~ spl0_205
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2627,f3543,f3673,f3551,f3769,f4248]) ).

fof(f2627,plain,
    ( e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1078]) ).

fof(f1078,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f684]) ).

fof(f684,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(e2,e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax684) ).

fof(f4699,plain,
    spl0_385,
    inference(avatar_split_clause,[],[f1770,f4696]) ).

fof(f4696,plain,
    ( spl0_385
  <=> e0 = op(unit,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f1770,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4694,plain,
    spl0_384,
    inference(avatar_split_clause,[],[f2522,f4691]) ).

fof(f4691,plain,
    ( spl0_384
  <=> op(op(e4,e5),e0) = op(e4,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f2522,plain,
    op(op(e4,e5),e0) = op(e4,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4689,plain,
    ( ~ spl0_143
    | ~ spl0_144
    | ~ spl0_209
    | ~ spl0_54
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f2570,f3610,f2968,f3695,f3384,f3380]) ).

fof(f2570,plain,
    ( e5 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1221]) ).

fof(f1221,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4) ),
    inference(ennf_transformation,[],[f305]) ).

fof(f305,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax305) ).

fof(f4688,plain,
    ( ~ spl0_383
    | spl0_241 ),
    inference(avatar_split_clause,[],[f2096,f3857,f4685]) ).

fof(f2096,plain,
    ( e4 = inv(e2)
    | e2 != inv(e4) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f4683,plain,
    ( ~ spl0_166
    | ~ spl0_121
    | ~ spl0_144
    | ~ spl0_146
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1719,f3388,f3392,f3384,f3278,f3485]) ).

fof(f1719,plain,
    ( e3 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f906]) ).

fof(f906,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,axiom,
    ~ ( e2 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).

fof(f4682,plain,
    ( ~ spl0_124
    | ~ spl0_169
    | ~ spl0_161
    | ~ spl0_109
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f2320,f4187,f3221,f3463,f3500,f3291]) ).

fof(f2320,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f765]) ).

fof(f765,plain,
    ( e5 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f521]) ).

fof(f521,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e5 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax521) ).

fof(f4681,plain,
    ( ~ spl0_123
    | ~ spl0_188
    | ~ spl0_124
    | ~ spl0_35
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2255,f3789,f2887,f3291,f3597,f3287]) ).

fof(f2255,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1264]) ).

fof(f1264,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f204,axiom,
    ~ ( e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax204) ).

fof(f4680,plain,
    ( ~ spl0_90
    | ~ spl0_168
    | ~ spl0_88
    | ~ spl0_78
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1527,f3134,f3078,f3122,f3495,f3130]) ).

fof(f1527,plain,
    ( e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f1407]) ).

fof(f1407,plain,
    ( e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f236]) ).

fof(f236,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e3
      & e5 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax236) ).

fof(f4679,plain,
    ( ~ spl0_124
    | ~ spl0_109
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1807,f2887,f2883,f2879,f3221,f3291]) ).

fof(f1807,plain,
    ( e4 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f876]) ).

fof(f876,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f329]) ).

fof(f329,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(e3,e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax329) ).

fof(f4678,plain,
    ~ spl0_382,
    inference(avatar_split_clause,[],[f1632,f4675]) ).

fof(f4675,plain,
    ( spl0_382
  <=> op(e1,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f1632,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4673,plain,
    ( ~ spl0_26
    | ~ spl0_175
    | ~ spl0_129
    | ~ spl0_170
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f1529,f3868,f3506,f3315,f3532,f2850]) ).

fof(f1529,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e4 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1191]) ).

fof(f1191,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f429]) ).

fof(f429,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(e5,e5),e5)
      & e4 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax429) ).

fof(f4672,plain,
    ~ spl0_381,
    inference(avatar_split_clause,[],[f1586,f4669]) ).

fof(f4669,plain,
    ( spl0_381
  <=> op(e3,e1) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f1586,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4667,plain,
    ( ~ spl0_258
    | ~ spl0_50
    | ~ spl0_146
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2036,f3485,f2964,f3392,f2952,f3956]) ).

fof(f2036,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1337]) ).

fof(f1337,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(e4,e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).

fof(f4666,plain,
    ( ~ spl0_66
    | ~ spl0_170
    | ~ spl0_243
    | ~ spl0_175
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1785,f2862,f3532,f3868,f3506,f3025]) ).

fof(f1785,plain,
    ( e3 != op(e5,e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1181]) ).

fof(f1181,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f549]) ).

fof(f549,axiom,
    ~ ( e2 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax549) ).

fof(f4665,plain,
    ( spl0_375
    | spl0_376
    | spl0_377
    | spl0_378
    | spl0_379
    | spl0_380 ),
    inference(avatar_split_clause,[],[f2204,f4662,f4658,f4654,f4650,f4646,f4642]) ).

fof(f4642,plain,
    ( spl0_375
  <=> e4 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f4646,plain,
    ( spl0_376
  <=> e3 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f4650,plain,
    ( spl0_377
  <=> e0 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f4654,plain,
    ( spl0_378
  <=> e2 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f4658,plain,
    ( spl0_379
  <=> e5 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f4662,plain,
    ( spl0_380
  <=> e1 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f2204,plain,
    ( e1 = op(e5,e2)
    | e5 = op(e5,e2)
    | e2 = op(e5,e2)
    | e0 = op(e5,e2)
    | e3 = op(e5,e2)
    | e4 = op(e5,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4640,plain,
    ( ~ spl0_6
    | ~ spl0_224
    | ~ spl0_91
    | ~ spl0_77
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1790,f2757,f3074,f3134,f3774,f2761]) ).

fof(f1790,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f900]) ).

fof(f900,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f478]) ).

fof(f478,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(e0,e0),e0)
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax478) ).

fof(f4639,plain,
    spl0_374,
    inference(avatar_split_clause,[],[f2378,f4636]) ).

fof(f4636,plain,
    ( spl0_374
  <=> op(op(e3,e4),e4) = op(e3,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f2378,plain,
    op(op(e3,e4),e4) = op(e3,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4634,plain,
    ( ~ spl0_165
    | ~ spl0_144
    | ~ spl0_52
    | ~ spl0_145
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2237,f2968,f3388,f2960,f3384,f3481]) ).

fof(f2237,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f806]) ).

fof(f806,plain,
    ( e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f663]) ).

fof(f663,axiom,
    ~ ( e3 = op(e4,e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(e4,e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax663) ).

fof(f4633,plain,
    ~ spl0_373,
    inference(avatar_split_clause,[],[f1547,f4630]) ).

fof(f4630,plain,
    ( spl0_373
  <=> op(e3,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f1547,plain,
    op(e3,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4628,plain,
    ~ spl0_372,
    inference(avatar_split_clause,[],[f1486,f4625]) ).

fof(f4625,plain,
    ( spl0_372
  <=> e1 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f1486,plain,
    e1 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f4623,plain,
    ( ~ spl0_45
    | ~ spl0_46
    | ~ spl0_48
    | ~ spl0_130
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2730,f3447,f3320,f2943,f2935,f2931]) ).

fof(f2730,plain,
    ( e5 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1235]) ).

fof(f1235,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f508]) ).

fof(f508,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax508) ).

fof(f4622,plain,
    ( spl0_366
    | spl0_367
    | spl0_368
    | spl0_369
    | spl0_370
    | spl0_371 ),
    inference(avatar_split_clause,[],[f2196,f4619,f4615,f4611,f4607,f4603,f4599]) ).

fof(f4599,plain,
    ( spl0_366
  <=> e5 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f4603,plain,
    ( spl0_367
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f4607,plain,
    ( spl0_368
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f4611,plain,
    ( spl0_369
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f4615,plain,
    ( spl0_370
  <=> e1 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f4619,plain,
    ( spl0_371
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f2196,plain,
    ( e2 = op(e0,e4)
    | e1 = op(e0,e4)
    | e0 = op(e0,e4)
    | e4 = op(e0,e4)
    | e3 = op(e0,e4)
    | e5 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4597,plain,
    ~ spl0_365,
    inference(avatar_split_clause,[],[f1584,f4594]) ).

fof(f4594,plain,
    ( spl0_365
  <=> op(e4,e0) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f1584,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4592,plain,
    ~ spl0_364,
    inference(avatar_split_clause,[],[f1700,f4589]) ).

fof(f4589,plain,
    ( spl0_364
  <=> op(e1,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f1700,plain,
    op(e1,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4587,plain,
    ( ~ spl0_141
    | ~ spl0_210
    | ~ spl0_180
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2704,f3481,f3367,f3556,f3699,f3371]) ).

fof(f2704,plain,
    ( e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1086]) ).

fof(f1086,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f441]) ).

fof(f441,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e2 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax441) ).

fof(f4586,plain,
    spl0_363,
    inference(avatar_split_clause,[],[f2453,f4583]) ).

fof(f4583,plain,
    ( spl0_363
  <=> op(op(e3,e1),e5) = op(e3,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f2453,plain,
    op(op(e3,e1),e5) = op(e3,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4581,plain,
    ( spl0_232
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2095,f2914,f3812]) ).

fof(f2095,plain,
    ( e0 != inv(e3)
    | e3 = inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f4580,plain,
    ( ~ spl0_189
    | ~ spl0_258
    | ~ spl0_145
    | ~ spl0_143
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1787,f3715,f3380,f3388,f3956,f3602]) ).

fof(f1787,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f899]) ).

fof(f899,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f252]) ).

fof(f252,axiom,
    ~ ( e0 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax252) ).

fof(f4579,plain,
    ~ spl0_362,
    inference(avatar_split_clause,[],[f1544,f4576]) ).

fof(f4576,plain,
    ( spl0_362
  <=> op(e4,e4) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f1544,plain,
    op(e4,e4) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4574,plain,
    ( ~ spl0_175
    | ~ spl0_29
    | ~ spl0_114
    | ~ spl0_150
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2176,f3163,f3412,f3243,f2862,f3532]) ).

fof(f2176,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5)
    | e2 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1222]) ).

fof(f1222,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ~ ( e4 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f4573,plain,
    ( ~ spl0_28
    | ~ spl0_170
    | ~ spl0_115
    | ~ spl0_171
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2174,f3021,f3510,f3247,f3506,f2858]) ).

fof(f2174,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1268]) ).

fof(f1268,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(ennf_transformation,[],[f219]) ).

fof(f219,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(e5,e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax219) ).

fof(f4572,plain,
    ( ~ spl0_223
    | ~ spl0_22
    | ~ spl0_25
    | ~ spl0_203
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2733,f3673,f3665,f2845,f2833,f3769]) ).

fof(f2733,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f928]) ).

fof(f928,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f198]) ).

fof(f198,axiom,
    ~ ( e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax198) ).

fof(f4571,plain,
    ~ spl0_361,
    inference(avatar_split_clause,[],[f1620,f4568]) ).

fof(f4568,plain,
    ( spl0_361
  <=> op(e2,e0) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f1620,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4566,plain,
    ( ~ spl0_168
    | ~ spl0_78
    | ~ spl0_91
    | ~ spl0_104
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2289,f3070,f3196,f3134,f3078,f3495]) ).

fof(f2289,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1106]) ).

fof(f1106,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f242,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e2
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax242) ).

fof(f4565,plain,
    ( ~ spl0_221
    | ~ spl0_49
    | ~ spl0_71
    | ~ spl0_11
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2670,f2939,f2783,f3048,f2947,f3757]) ).

fof(f2670,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f961]) ).

fof(f961,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e5 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(f4564,plain,
    ( ~ spl0_278
    | ~ spl0_97
    | ~ spl0_171
    | ~ spl0_29
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2571,f3155,f2862,f3510,f3163,f4076]) ).

fof(f2571,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1290]) ).

fof(f1290,plain,
    ( e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f327]) ).

fof(f327,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(e5,e5),e5),e5)
      & e3 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax327) ).

fof(f4563,plain,
    ( ~ spl0_210
    | ~ spl0_143
    | ~ spl0_191
    | ~ spl0_209
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f1906,f3956,f3695,f3610,f3380,f3699]) ).

fof(f1906,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1365]) ).

fof(f1365,plain,
    ( e1 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f311]) ).

fof(f311,axiom,
    ~ ( e5 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax311) ).

fof(f4562,plain,
    ~ spl0_360,
    inference(avatar_split_clause,[],[f1706,f4559]) ).

fof(f4559,plain,
    ( spl0_360
  <=> op(e4,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f1706,plain,
    op(e4,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4557,plain,
    ~ spl0_359,
    inference(avatar_split_clause,[],[f1650,f4554]) ).

fof(f4554,plain,
    ( spl0_359
  <=> op(e3,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f1650,plain,
    op(e3,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4552,plain,
    ( ~ spl0_88
    | ~ spl0_78
    | ~ spl0_90
    | ~ spl0_79
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1974,f3192,f3082,f3130,f3078,f3122]) ).

fof(f1974,plain,
    ( e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f875]) ).

fof(f875,plain,
    ( e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f644]) ).

fof(f644,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax644) ).

fof(f4551,plain,
    ( ~ spl0_75
    | ~ spl0_183
    | ~ spl0_89
    | ~ spl0_4
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f2253,f3774,f2753,f3126,f3571,f3066]) ).

fof(f2253,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f796]) ).

fof(f796,plain,
    ( e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f584]) ).

fof(f584,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax584) ).

fof(f4550,plain,
    ( ~ spl0_178
    | ~ spl0_24
    | ~ spl0_81
    | ~ spl0_206
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2696,f2806,f3677,f3091,f2841,f3547]) ).

fof(f2696,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f785]) ).

fof(f785,plain,
    ( e4 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f455]) ).

fof(f455,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(e2,e2),e2)
      & e5 = op(e2,e2)
      & e1 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax455) ).

fof(f4549,plain,
    ( ~ spl0_23
    | ~ spl0_25
    | ~ spl0_205
    | ~ spl0_22
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1841,f3333,f2833,f3673,f2845,f2837]) ).

fof(f1841,plain,
    ( e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1301]) ).

fof(f1301,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f240]) ).

fof(f240,axiom,
    ~ ( e0 = op(e2,e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax240) ).

fof(f4548,plain,
    ( ~ spl0_15
    | ~ spl0_23
    | ~ spl0_134
    | ~ spl0_133
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2224,f2845,f3333,f3337,f2837,f2802]) ).

fof(f2224,plain,
    ( e0 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f814]) ).

fof(f814,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f607]) ).

fof(f607,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax607) ).

fof(f4547,plain,
    spl0_358,
    inference(avatar_split_clause,[],[f2524,f4544]) ).

fof(f4544,plain,
    ( spl0_358
  <=> op(op(e4,e5),e3) = op(e4,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f2524,plain,
    op(op(e4,e5),e3) = op(e4,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4542,plain,
    ( ~ spl0_12
    | ~ spl0_70
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f2061,f3591,f3324,f3320,f3043,f2787]) ).

fof(f2061,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f740]) ).

fof(f740,plain,
    ( e4 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f365]) ).

fof(f365,axiom,
    ~ ( e4 = op(e1,e1)
      & e5 = op(op(e1,e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax365) ).

fof(f4541,plain,
    ~ spl0_357,
    inference(avatar_split_clause,[],[f1573,f4538]) ).

fof(f4538,plain,
    ( spl0_357
  <=> op(e0,e3) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f1573,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4536,plain,
    ( ~ spl0_132
    | ~ spl0_8
    | ~ spl0_47
    | ~ spl0_46
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2560,f3052,f2935,f2939,f2771,f3328]) ).

fof(f2560,plain,
    ( e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1372]) ).

fof(f1372,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f462]) ).

fof(f462,axiom,
    ~ ( e5 = op(op(op(e1,e1),e1),e1)
      & e0 = op(e1,e1)
      & e4 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax462) ).

fof(f4535,plain,
    ( ~ spl0_81
    | ~ spl0_205
    | ~ spl0_309
    | ~ spl0_22
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f2063,f3769,f2833,f4248,f3673,f3091]) ).

fof(f2063,plain,
    ( e3 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1147]) ).

fof(f1147,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(e2,e2),e2)
    | e5 != op(e2,e2) ),
    inference(ennf_transformation,[],[f184]) ).

fof(f184,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).

fof(f4534,plain,
    ( ~ spl0_132
    | ~ spl0_102
    | ~ spl0_45
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1890,f3039,f3035,f2931,f3187,f3328]) ).

fof(f1890,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1220]) ).

fof(f1220,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f576]) ).

fof(f576,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax576) ).

fof(f4533,plain,
    spl0_356,
    inference(avatar_split_clause,[],[f2474,f4530]) ).

fof(f4530,plain,
    ( spl0_356
  <=> op(op(e1,e5),e3) = op(e1,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f2474,plain,
    op(op(e1,e5),e3) = op(e1,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4528,plain,
    ( ~ spl0_11
    | ~ spl0_102
    | ~ spl0_132
    | ~ spl0_131
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2250,f2939,f3324,f3328,f3187,f2783]) ).

fof(f2250,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1107]) ).

fof(f1107,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f318]) ).

fof(f318,axiom,
    ~ ( e0 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax318) ).

fof(f4527,plain,
    ( ~ spl0_6
    | ~ spl0_75
    | ~ spl0_88
    | ~ spl0_112
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2230,f3495,f3234,f3122,f3066,f2761]) ).

fof(f2230,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f1017]) ).

fof(f1017,plain,
    ( op(e0,e0) != e4
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f188]) ).

fof(f188,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e4
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax188) ).

fof(f4526,plain,
    ( ~ spl0_23
    | ~ spl0_133
    | ~ spl0_263
    | ~ spl0_178
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2568,f2833,f3547,f3986,f3333,f2837]) ).

fof(f2568,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f858]) ).

fof(f858,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f245]) ).

fof(f245,axiom,
    ~ ( e4 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax245) ).

fof(f4525,plain,
    ( ~ spl0_248
    | ~ spl0_247
    | ~ spl0_26
    | ~ spl0_64
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2220,f3412,f3017,f2850,f3891,f3895]) ).

fof(f2220,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f742]) ).

fof(f742,plain,
    ( e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e4 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f4524,plain,
    ( ~ spl0_83
    | ~ spl0_169
    | ~ spl0_298
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2040,f3225,f3221,f4187,f3500,f3100]) ).

fof(f2040,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1420]) ).

fof(f1420,plain,
    ( e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f527]) ).

fof(f527,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax527) ).

fof(f4523,plain,
    ( spl0_182
    | spl0_192
    | spl0_354
    | spl0_310
    | spl0_355
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2299,f3305,f4520,f4253,f4516,f3615,f3566]) ).

fof(f4516,plain,
    ( spl0_354
  <=> e1 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f2299,plain,
    ( e2 = inv(e1)
    | e5 = inv(e1)
    | e3 = inv(e1)
    | e1 = inv(e1)
    | e0 = inv(e1)
    | e4 = inv(e1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4514,plain,
    ( ~ spl0_188
    | ~ spl0_109
    | ~ spl0_105
    | ~ spl0_124
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2292,f3096,f3291,f3202,f3221,f3597]) ).

fof(f2292,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1294]) ).

fof(f1294,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).

fof(f4513,plain,
    ~ spl0_353,
    inference(avatar_split_clause,[],[f1562,f4510]) ).

fof(f4510,plain,
    ( spl0_353
  <=> op(e3,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f1562,plain,
    op(e3,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4508,plain,
    ( spl0_145
    | spl0_180
    | spl0_191
    | spl0_50
    | spl0_122
    | spl0_352 ),
    inference(avatar_split_clause,[],[f2178,f4505,f3282,f2952,f3610,f3556,f3388]) ).

fof(f4505,plain,
    ( spl0_352
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f2178,plain,
    ( e4 = op(e4,e4)
    | e0 = op(e4,e4)
    | e2 = op(e4,e4)
    | e5 = op(e4,e4)
    | e1 = op(e4,e4)
    | e3 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4503,plain,
    ( ~ spl0_248
    | ~ spl0_160
    | ~ spl0_150
    | ~ spl0_29
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2572,f3017,f2862,f3412,f3457,f3895]) ).

fof(f2572,plain,
    ( e1 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f747]) ).

fof(f747,plain,
    ( e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e1 = op(op(e5,e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f4502,plain,
    ~ spl0_351,
    inference(avatar_split_clause,[],[f1651,f4499]) ).

fof(f4499,plain,
    ( spl0_351
  <=> op(e1,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f1651,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4497,plain,
    spl0_350,
    inference(avatar_split_clause,[],[f2452,f4494]) ).

fof(f4494,plain,
    ( spl0_350
  <=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f2452,plain,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4492,plain,
    ( ~ spl0_164
    | ~ spl0_151
    | ~ spl0_184
    | ~ spl0_107
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1825,f3192,f3211,f3575,f3417,f3476]) ).

fof(f1825,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5 ),
    inference(cnf_transformation,[],[f835]) ).

fof(f835,plain,
    ( e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f292]) ).

fof(f292,axiom,
    ~ ( e4 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e5
      & e1 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax292) ).

fof(f4491,plain,
    ( ~ spl0_95
    | ~ spl0_29
    | ~ spl0_170
    | ~ spl0_64
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2319,f3243,f3017,f3506,f2862,f3155]) ).

fof(f2319,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1281]) ).

fof(f1281,plain,
    ( e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f291]) ).

fof(f291,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax291) ).

fof(f4490,plain,
    ~ spl0_349,
    inference(avatar_split_clause,[],[f1641,f4487]) ).

fof(f4487,plain,
    ( spl0_349
  <=> op(e4,e0) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f1641,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4485,plain,
    ( ~ spl0_31
    | ~ spl0_175
    | ~ spl0_247
    | ~ spl0_150
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1840,f3243,f3412,f3891,f3532,f2870]) ).

fof(f1840,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1417]) ).

fof(f1417,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e1 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f4484,plain,
    ( ~ spl0_4
    | ~ spl0_78
    | ~ spl0_76
    | ~ spl0_75
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1877,f3495,f3066,f3070,f3078,f2753]) ).

fof(f1877,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1028]) ).

fof(f1028,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f200]) ).

fof(f200,axiom,
    ~ ( e5 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e2
      & e3 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax200) ).

fof(f4483,plain,
    ( ~ spl0_36
    | ~ spl0_110
    | ~ spl0_227
    | ~ spl0_298
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1816,f3500,f4187,f3789,f3225,f2891]) ).

fof(f1816,plain,
    ( e1 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f790]) ).

fof(f790,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f522]) ).

fof(f522,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax522) ).

fof(f4482,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_5
    | ~ spl0_88
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1804,f3134,f3122,f2757,f2761,f2745]) ).

fof(f1804,plain,
    ( e5 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e4
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f777]) ).

fof(f777,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f484]) ).

fof(f484,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(e0,e0),e0)
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax484) ).

fof(f4481,plain,
    ~ spl0_348,
    inference(avatar_split_clause,[],[f1559,f4478]) ).

fof(f4478,plain,
    ( spl0_348
  <=> op(e3,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f1559,plain,
    op(e3,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4476,plain,
    ( ~ spl0_31
    | ~ spl0_175
    | ~ spl0_150
    | ~ spl0_160
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1909,f3021,f3457,f3412,f3532,f2870]) ).

fof(f1909,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f1414,plain,
    ( e1 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(e5,e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f4475,plain,
    spl0_347,
    inference(avatar_split_clause,[],[f2415,f4472]) ).

fof(f4472,plain,
    ( spl0_347
  <=> op(op(e0,e0),e3) = op(e0,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f2415,plain,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4470,plain,
    ( ~ spl0_134
    | ~ spl0_133
    | ~ spl0_206
    | ~ spl0_263
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f2228,f4248,f3986,f3677,f3333,f3337]) ).

fof(f2228,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f838]) ).

fof(f838,plain,
    ( e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(e2,e2) ),
    inference(ennf_transformation,[],[f473]) ).

fof(f473,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax473) ).

fof(f4469,plain,
    ( ~ spl0_54
    | ~ spl0_52
    | ~ spl0_209
    | ~ spl0_180
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2589,f3375,f3556,f3695,f2960,f2968]) ).

fof(f2589,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1446]) ).

fof(f1446,plain,
    ( e1 != op(e4,e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f685]) ).

fof(f685,axiom,
    ~ ( e3 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax685) ).

fof(f4468,plain,
    spl0_346,
    inference(avatar_split_clause,[],[f2055,f4465]) ).

fof(f4465,plain,
    ( spl0_346
  <=> unit = inv(unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f2055,plain,
    unit = inv(unit),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    unit = inv(unit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f4463,plain,
    ~ spl0_345,
    inference(avatar_split_clause,[],[f1495,f4460]) ).

fof(f4460,plain,
    ( spl0_345
  <=> e0 = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f1495,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f10]) ).

fof(f4458,plain,
    ~ spl0_344,
    inference(avatar_split_clause,[],[f1676,f4455]) ).

fof(f4455,plain,
    ( spl0_344
  <=> op(e2,e5) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f1676,plain,
    op(e2,e5) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4453,plain,
    spl0_343,
    inference(avatar_split_clause,[],[f2007,f4450]) ).

fof(f2007,plain,
    op(e1,e3) = op(e3,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f4448,plain,
    spl0_342,
    inference(avatar_split_clause,[],[f2478,f4445]) ).

fof(f4445,plain,
    ( spl0_342
  <=> op(op(e3,e5),e4) = op(e3,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f2478,plain,
    op(op(e3,e5),e4) = op(e3,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4443,plain,
    ~ spl0_341,
    inference(avatar_split_clause,[],[f1671,f4440]) ).

fof(f4440,plain,
    ( spl0_341
  <=> op(e0,e1) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f1671,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4438,plain,
    ( ~ spl0_184
    | ~ spl0_183
    | ~ spl0_107
    | ~ spl0_225
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2116,f2753,f3778,f3211,f3571,f3575]) ).

fof(f2116,plain,
    ( e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1295]) ).

fof(f1295,plain,
    ( e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f344]) ).

fof(f344,axiom,
    ~ ( e5 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e1
      & e4 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax344) ).

fof(f4437,plain,
    ( ~ spl0_115
    | ~ spl0_65
    | ~ spl0_26
    | ~ spl0_170
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1901,f3532,f3506,f2850,f3021,f3247]) ).

fof(f1901,plain,
    ( e2 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1362]) ).

fof(f1362,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5) ),
    inference(ennf_transformation,[],[f165]) ).

fof(f165,axiom,
    ~ ( e2 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(e5,e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).

fof(f4436,plain,
    ( spl0_335
    | spl0_336
    | spl0_337
    | spl0_338
    | spl0_339
    | spl0_340 ),
    inference(avatar_split_clause,[],[f2206,f4433,f4429,f4425,f4421,f4417,f4413]) ).

fof(f4413,plain,
    ( spl0_335
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f4417,plain,
    ( spl0_336
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f4421,plain,
    ( spl0_337
  <=> e5 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f4425,plain,
    ( spl0_338
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f4429,plain,
    ( spl0_339
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f4433,plain,
    ( spl0_340
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f2206,plain,
    ( e1 = op(e4,e2)
    | e0 = op(e4,e2)
    | e3 = op(e4,e2)
    | e5 = op(e4,e2)
    | e2 = op(e4,e2)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4411,plain,
    ( ~ spl0_104
    | ~ spl0_79
    | ~ spl0_224
    | ~ spl0_103
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1820,f2761,f3192,f3774,f3082,f3196]) ).

fof(f1820,plain,
    ( op(e0,e0) != e4
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f776]) ).

fof(f776,plain,
    ( e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f652]) ).

fof(f652,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e4
      & e3 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax652) ).

fof(f4410,plain,
    ~ spl0_334,
    inference(avatar_split_clause,[],[f1680,f4407]) ).

fof(f4407,plain,
    ( spl0_334
  <=> op(e3,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f1680,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4405,plain,
    ( ~ spl0_111
    | ~ spl0_109
    | ~ spl0_106
    | ~ spl0_82
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2065,f3202,f3096,f3206,f3221,f3229]) ).

fof(f2065,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f966]) ).

fof(f966,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e5 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f4404,plain,
    ~ spl0_333,
    inference(avatar_split_clause,[],[f1565,f4401]) ).

fof(f4401,plain,
    ( spl0_333
  <=> op(e3,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f1565,plain,
    op(e3,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f4399,plain,
    ~ spl0_332,
    inference(avatar_split_clause,[],[f1585,f4396]) ).

fof(f4396,plain,
    ( spl0_332
  <=> op(e3,e1) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f1585,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4394,plain,
    ( ~ spl0_86
    | ~ spl0_162
    | ~ spl0_33
    | ~ spl0_109
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2714,f2883,f3221,f2879,f3467,f3112]) ).

fof(f2714,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1280]) ).

fof(f1280,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3) ),
    inference(ennf_transformation,[],[f269]) ).

fof(f269,axiom,
    ~ ( e5 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax269) ).

fof(f4393,plain,
    ( ~ spl0_101
    | ~ spl0_46
    | ~ spl0_10
    | ~ spl0_49
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2565,f3052,f2947,f2779,f2935,f3183]) ).

fof(f2565,plain,
    ( e4 != op(op(e1,e1),e1)
    | e3 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1132]) ).

fof(f1132,plain,
    ( e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f712]) ).

fof(f712,axiom,
    ~ ( e3 = op(e1,e1)
      & e4 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax712) ).

fof(f4392,plain,
    ( ~ spl0_191
    | ~ spl0_142
    | ~ spl0_166
    | ~ spl0_190
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2241,f2956,f3606,f3485,f3375,f3610]) ).

fof(f2241,plain,
    ( e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4) ),
    inference(cnf_transformation,[],[f990]) ).

fof(f990,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(e4,e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e5 != op(e4,e4) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e5 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f4391,plain,
    ( ~ spl0_29
    | ~ spl0_96
    | ~ spl0_115
    | ~ spl0_160
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f2216,f3895,f3457,f3247,f3159,f2862]) ).

fof(f2216,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5)
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1117]) ).

fof(f1117,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(e5,e5)
    | e0 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f133,axiom,
    ~ ( e2 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(op(e5,e5),e5)
      & e3 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).

fof(f4390,plain,
    ( ~ spl0_18
    | ~ spl0_179
    | ~ spl0_205
    | ~ spl0_204
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f1478,f4248,f3669,f3673,f3551,f2814]) ).

fof(f1478,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f978]) ).

fof(f978,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f638]) ).

fof(f638,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e3 = op(e2,e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax638) ).

fof(f4389,plain,
    ( ~ spl0_106
    | ~ spl0_82
    | ~ spl0_227
    | ~ spl0_111
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1740,f3471,f3229,f3789,f3096,f3206]) ).

fof(f1740,plain,
    ( e4 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f910]) ).

fof(f910,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(e3,e3),e3)
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f4388,plain,
    ( ~ spl0_90
    | ~ spl0_112
    | ~ spl0_77
    | ~ spl0_89
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f2654,f2749,f3126,f3074,f3234,f3130]) ).

fof(f2654,plain,
    ( e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f1063]) ).

fof(f1063,plain,
    ( op(e0,e0) != e3
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f548]) ).

fof(f548,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e3
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax548) ).

fof(f4387,plain,
    ( ~ spl0_115
    | ~ spl0_247
    | ~ spl0_30
    | ~ spl0_175
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2225,f3243,f3532,f2866,f3891,f3247]) ).

fof(f2225,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1210]) ).

fof(f1210,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e2 != op(op(e5,e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f169]) ).

fof(f169,axiom,
    ~ ( e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e0 = op(e5,e5)
      & e2 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).

fof(f4386,plain,
    spl0_331,
    inference(avatar_split_clause,[],[f2438,f4383]) ).

fof(f4383,plain,
    ( spl0_331
  <=> op(op(e1,e3),e0) = op(e1,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f2438,plain,
    op(op(e1,e3),e0) = op(e1,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4381,plain,
    ~ spl0_330,
    inference(avatar_split_clause,[],[f1690,f4378]) ).

fof(f4378,plain,
    ( spl0_330
  <=> op(e5,e2) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f1690,plain,
    op(e5,e2) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4376,plain,
    ( ~ spl0_168
    | ~ spl0_225
    | ~ spl0_76
    | ~ spl0_112
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1516,f3196,f3234,f3070,f3778,f3495]) ).

fof(f1516,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f850]) ).

fof(f850,plain,
    ( e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f218]) ).

fof(f218,axiom,
    ~ ( op(e0,e0) = e2
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax218) ).

fof(f4375,plain,
    ( ~ spl0_179
    | ~ spl0_178
    | ~ spl0_18
    | ~ spl0_204
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2244,f3257,f3669,f2814,f3547,f3551]) ).

fof(f2244,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1115]) ).

fof(f1115,plain,
    ( e3 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f659]) ).

fof(f659,axiom,
    ~ ( e4 = op(op(op(e2,e2),e2),e2)
      & e3 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax659) ).

fof(f4374,plain,
    ( ~ spl0_51
    | ~ spl0_191
    | ~ spl0_121
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2291,f3485,f2964,f3278,f3610,f2956]) ).

fof(f2291,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1001]) ).

fof(f1001,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( e2 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(e4,e4),e4)
      & e5 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f4373,plain,
    ( ~ spl0_28
    | ~ spl0_160
    | ~ spl0_64
    | ~ spl0_150
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2231,f3021,f3412,f3017,f3457,f2858]) ).

fof(f2231,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1385]) ).

fof(f1385,plain,
    ( e2 != op(e5,e5)
    | e1 != op(op(e5,e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e2 = op(e5,e5)
      & e1 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f4372,plain,
    ( ~ spl0_113
    | ~ spl0_248
    | ~ spl0_26
    | ~ spl0_115
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2576,f3506,f3247,f2850,f3895,f3239]) ).

fof(f2576,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(e5,e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1079]) ).

fof(f1079,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e4 != op(e5,e5) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f189,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e2 = op(op(op(e5,e5),e5),e5)
      & e4 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax189) ).

fof(f4371,plain,
    spl0_329,
    inference(avatar_split_clause,[],[f2420,f4368]) ).

fof(f4368,plain,
    ( spl0_329
  <=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f2420,plain,
    op(op(e2,e1),e3) = op(e2,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4366,plain,
    ( ~ spl0_71
    | ~ spl0_70
    | ~ spl0_130
    | ~ spl0_69
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f2222,f3757,f3039,f3320,f3043,f3048]) ).

fof(f2222,plain,
    ( e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f848]) ).

fof(f848,plain,
    ( e4 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e4 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(f4365,plain,
    ( ~ spl0_105
    | ~ spl0_106
    | ~ spl0_99
    | ~ spl0_123
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2064,f3229,f3287,f3173,f3206,f3202]) ).

fof(f2064,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e5 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1014]) ).

fof(f1014,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e5 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,axiom,
    ~ ( e1 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).

fof(f4364,plain,
    ~ spl0_328,
    inference(avatar_split_clause,[],[f1591,f4361]) ).

fof(f4361,plain,
    ( spl0_328
  <=> op(e1,e2) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f1591,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4359,plain,
    spl0_327,
    inference(avatar_split_clause,[],[f2386,f4356]) ).

fof(f4356,plain,
    ( spl0_327
  <=> op(op(e1,e3),e4) = op(e1,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f2386,plain,
    op(op(e1,e3),e4) = op(e1,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4354,plain,
    ( ~ spl0_248
    | ~ spl0_66
    | ~ spl0_64
    | ~ spl0_30
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f2717,f3891,f2866,f3017,f3025,f3895]) ).

fof(f2717,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5)
    | e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1183]) ).

fof(f1183,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f523]) ).

fof(f523,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e0 = op(e5,e5)
      & e2 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax523) ).

fof(f4353,plain,
    ~ spl0_326,
    inference(avatar_split_clause,[],[f1541,f4350]) ).

fof(f4350,plain,
    ( spl0_326
  <=> op(e0,e2) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f1541,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4348,plain,
    spl0_325,
    inference(avatar_split_clause,[],[f2479,f4345]) ).

fof(f4345,plain,
    ( spl0_325
  <=> op(op(e5,e5),e0) = op(e5,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f2479,plain,
    op(op(e5,e5),e0) = op(e5,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4343,plain,
    ( ~ spl0_50
    | ~ spl0_141
    | ~ spl0_189
    | ~ spl0_140
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1863,f3384,f3367,f3602,f3371,f2952]) ).

fof(f1863,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1389]) ).

fof(f1389,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f393]) ).

fof(f393,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax393) ).

fof(f4342,plain,
    ( ~ spl0_32
    | ~ spl0_82
    | ~ spl0_36
    | ~ spl0_188
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1783,f3202,f3597,f2891,f3096,f2875]) ).

fof(f1783,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f866]) ).

fof(f866,plain,
    ( e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f174]) ).

fof(f174,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(op(e3,e3),e3),e3)
      & e0 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax174) ).

fof(f4341,plain,
    ~ spl0_324,
    inference(avatar_split_clause,[],[f1697,f4338]) ).

fof(f4338,plain,
    ( spl0_324
  <=> op(e5,e2) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f1697,plain,
    op(e5,e2) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4336,plain,
    ( ~ spl0_36
    | ~ spl0_161
    | ~ spl0_298
    | ~ spl0_99
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2686,f3206,f3173,f4187,f3463,f2891]) ).

fof(f2686,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f778]) ).

fof(f778,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e5 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f595]) ).

fof(f595,axiom,
    ~ ( e0 = op(e3,e3)
      & e5 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax595) ).

fof(f4335,plain,
    ( ~ spl0_10
    | ~ spl0_70
    | ~ spl0_102
    | ~ spl0_131
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1931,f3039,f3324,f3187,f3043,f2779]) ).

fof(f1931,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e4 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1105]) ).

fof(f1105,plain,
    ( e4 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f302]) ).

fof(f302,axiom,
    ~ ( e4 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax302) ).

fof(f4334,plain,
    ~ spl0_323,
    inference(avatar_split_clause,[],[f1685,f4331]) ).

fof(f4331,plain,
    ( spl0_323
  <=> op(e4,e0) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f1685,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4329,plain,
    ( spl0_317
    | spl0_318
    | spl0_319
    | spl0_320
    | spl0_321
    | spl0_322 ),
    inference(avatar_split_clause,[],[f2210,f4326,f4322,f4318,f4314,f4310,f4306]) ).

fof(f4306,plain,
    ( spl0_317
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f4310,plain,
    ( spl0_318
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f4314,plain,
    ( spl0_319
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f4318,plain,
    ( spl0_320
  <=> e5 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f4322,plain,
    ( spl0_321
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f4326,plain,
    ( spl0_322
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f2210,plain,
    ( e0 = op(e4,e3)
    | e4 = op(e4,e3)
    | e5 = op(e4,e3)
    | e2 = op(e4,e3)
    | e1 = op(e4,e3)
    | e3 = op(e4,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4304,plain,
    ~ spl0_316,
    inference(avatar_split_clause,[],[f1551,f4301]) ).

fof(f4301,plain,
    ( spl0_316
  <=> op(e4,e1) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f1551,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4299,plain,
    ~ spl0_315,
    inference(avatar_split_clause,[],[f1710,f4296]) ).

fof(f4296,plain,
    ( spl0_315
  <=> op(e0,e3) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f1710,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4294,plain,
    ( ~ spl0_188
    | ~ spl0_36
    | ~ spl0_227
    | ~ spl0_86
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1480,f3096,f3112,f3789,f2891,f3597]) ).

fof(f1480,plain,
    ( e2 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1411]) ).

fof(f1411,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f168]) ).

fof(f168,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(e3,e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).

fof(f4293,plain,
    spl0_314,
    inference(avatar_split_clause,[],[f2018,f4290]) ).

fof(f2018,plain,
    op(e0,e3) = op(e3,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f4288,plain,
    ( ~ spl0_49
    | ~ spl0_221
    | ~ spl0_220
    | ~ spl0_187
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1913,f3183,f3591,f3753,f3757,f2947]) ).

fof(f1913,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1427]) ).

fof(f1427,plain,
    ( e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f683]) ).

fof(f683,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e3 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax683) ).

fof(f4287,plain,
    ~ spl0_313,
    inference(avatar_split_clause,[],[f1677,f4284]) ).

fof(f4284,plain,
    ( spl0_313
  <=> op(e2,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f1677,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4282,plain,
    ( ~ spl0_188
    | ~ spl0_86
    | ~ spl0_36
    | ~ spl0_161
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2124,f3173,f3463,f2891,f3112,f3597]) ).

fof(f2124,plain,
    ( e5 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f936]) ).

fof(f936,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f247]) ).

fof(f247,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e5 = op(op(e3,e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax247) ).

fof(f4281,plain,
    ~ spl0_312,
    inference(avatar_split_clause,[],[f1621,f4278]) ).

fof(f4278,plain,
    ( spl0_312
  <=> op(e3,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f1621,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4276,plain,
    ( ~ spl0_247
    | ~ spl0_171
    | ~ spl0_115
    | ~ spl0_278
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1823,f2858,f4076,f3247,f3510,f3891]) ).

fof(f1823,plain,
    ( e2 != op(e5,e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f865]) ).

fof(f865,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f205]) ).

fof(f205,axiom,
    ~ ( e4 = op(op(e5,e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax205) ).

fof(f4275,plain,
    ( ~ spl0_111
    | ~ spl0_32
    | ~ spl0_35
    | ~ spl0_123
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2577,f2883,f3287,f2887,f2875,f3229]) ).

fof(f2577,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f926]) ).

fof(f926,plain,
    ( e2 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,axiom,
    ~ ( e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).

fof(f4274,plain,
    ( ~ spl0_102
    | ~ spl0_71
    | ~ spl0_70
    | ~ spl0_69
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1894,f3035,f3039,f3043,f3048,f3187]) ).

fof(f1894,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f769]) ).

fof(f769,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(e1,e1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e2 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

fof(f4273,plain,
    ( ~ spl0_311
    | spl0_39 ),
    inference(avatar_split_clause,[],[f2077,f2906,f4270]) ).

fof(f2077,plain,
    ( e5 = inv(e3)
    | e3 != inv(e5) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f4268,plain,
    ( ~ spl0_24
    | ~ spl0_309
    | ~ spl0_134
    | ~ spl0_81
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f2247,f3677,f3091,f3337,f4248,f2841]) ).

fof(f2247,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f945]) ).

fof(f945,plain,
    ( e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f449]) ).

fof(f449,axiom,
    ~ ( e5 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax449) ).

fof(f4267,plain,
    ( ~ spl0_309
    | ~ spl0_205
    | ~ spl0_133
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1474,f2833,f2814,f3333,f3673,f4248]) ).

fof(f1474,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f823]) ).

fof(f823,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e5 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f230]) ).

fof(f230,axiom,
    ~ ( e5 = op(op(e2,e2),e2)
      & e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax230) ).

fof(f4266,plain,
    ( ~ spl0_168
    | ~ spl0_225
    | ~ spl0_112
    | ~ spl0_90
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2238,f3122,f3130,f3234,f3778,f3495]) ).

fof(f2238,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1223]) ).

fof(f1223,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f212]) ).

fof(f212,axiom,
    ~ ( op(e0,e0) = e3
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax212) ).

fof(f4265,plain,
    ( ~ spl0_183
    | ~ spl0_78
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2131,f3134,f3211,f3196,f3078,f3571]) ).

fof(f2131,plain,
    ( e5 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f834]) ).

fof(f834,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f362]) ).

fof(f362,axiom,
    ~ ( op(e0,e0) = e1
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax362) ).

fof(f4264,plain,
    ( ~ spl0_3
    | ~ spl0_164
    | ~ spl0_2
    | ~ spl0_89
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2122,f3196,f3126,f2745,f3476,f2749]) ).

fof(f2122,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1400]) ).

fof(f1400,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5 ),
    inference(ennf_transformation,[],[f556]) ).

fof(f556,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax556) ).

fof(f4263,plain,
    ( ~ spl0_121
    | ~ spl0_213
    | ~ spl0_145
    | ~ spl0_166
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2674,f2956,f3485,f3388,f3715,f3278]) ).

fof(f2674,plain,
    ( e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1207]) ).

fof(f1207,plain,
    ( e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e2 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f4262,plain,
    ( ~ spl0_210
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_258
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1949,f3380,f3956,f3392,f3388,f3699]) ).

fof(f1949,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f962]) ).

fof(f962,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f357]) ).

fof(f357,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(e4,e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax357) ).

fof(f4261,plain,
    ( ~ spl0_97
    | ~ spl0_129
    | ~ spl0_28
    | ~ spl0_171
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f1968,f4076,f3510,f2858,f3315,f3163]) ).

fof(f1968,plain,
    ( e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1291]) ).

fof(f1291,plain,
    ( e4 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f447]) ).

fof(f447,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax447) ).

fof(f4260,plain,
    ( ~ spl0_99
    | ~ spl0_33
    | ~ spl0_163
    | ~ spl0_124
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1755,f2883,f3291,f3471,f2879,f3173]) ).

fof(f1755,plain,
    ( e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f849]) ).

fof(f849,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f353]) ).

fof(f353,axiom,
    ~ ( e4 = op(e3,e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax353) ).

fof(f4259,plain,
    ( ~ spl0_15
    | ~ spl0_177
    | ~ spl0_178
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2549,f3333,f2837,f3547,f3543,f2802]) ).

fof(f2549,plain,
    ( e5 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1357]) ).

fof(f1357,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f609]) ).

fof(f609,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax609) ).

fof(f4258,plain,
    ( ~ spl0_5
    | ~ spl0_164
    | ~ spl0_77
    | ~ spl0_3
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2579,f3078,f2749,f3074,f3476,f2757]) ).

fof(f2579,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f954]) ).

fof(f954,plain,
    ( e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5 ),
    inference(ennf_transformation,[],[f430]) ).

fof(f430,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e5
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax430) ).

fof(f4257,plain,
    ( ~ spl0_34
    | ~ spl0_162
    | ~ spl0_110
    | ~ spl0_109
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f1947,f4187,f3221,f3225,f3467,f2883]) ).

fof(f1947,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1355]) ).

fof(f1355,plain,
    ( e5 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f503]) ).

fof(f503,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e5 = op(e3,e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax503) ).

fof(f4256,plain,
    ( ~ spl0_310
    | spl0_43 ),
    inference(avatar_split_clause,[],[f2092,f2922,f4253]) ).

fof(f2092,plain,
    ( e1 = inv(e3)
    | e3 != inv(e1) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f4251,plain,
    ( ~ spl0_19
    | ~ spl0_206
    | ~ spl0_263
    | ~ spl0_204
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f1916,f4248,f3669,f3986,f3677,f2818]) ).

fof(f1916,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e4 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1366]) ).

fof(f1366,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e4 != op(e2,e2) ),
    inference(ennf_transformation,[],[f398]) ).

fof(f398,axiom,
    ~ ( e0 = op(op(op(e2,e2),e2),e2)
      & e4 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax398) ).

fof(f4246,plain,
    ( ~ spl0_210
    | ~ spl0_143
    | ~ spl0_51
    | ~ spl0_191
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f1744,f3606,f3610,f2956,f3380,f3699]) ).

fof(f1744,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1010]) ).

fof(f1010,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(e4,e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f287]) ).

fof(f287,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax287) ).

fof(f4245,plain,
    ( ~ spl0_3
    | ~ spl0_77
    | ~ spl0_6
    | ~ spl0_112
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2272,f2757,f3234,f2761,f3074,f2749]) ).

fof(f2272,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f736]) ).

fof(f736,plain,
    ( e2 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f428]) ).

fof(f428,axiom,
    ~ ( e2 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e4
      & e1 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax428) ).

fof(f4244,plain,
    ( ~ spl0_112
    | ~ spl0_225
    | ~ spl0_90
    | ~ spl0_107
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2614,f3074,f3211,f3130,f3778,f3234]) ).

fof(f2614,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1025]) ).

fof(f1025,plain,
    ( e4 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f332]) ).

fof(f332,axiom,
    ~ ( e4 = op(op(e0,e0),e0)
      & op(e0,e0) = e3
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax332) ).

fof(f4243,plain,
    ( ~ spl0_31
    | ~ spl0_95
    | ~ spl0_160
    | ~ spl0_278
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1981,f3239,f4076,f3457,f3155,f2870]) ).

fof(f1981,plain,
    ( e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1215]) ).

fof(f1215,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e1 != op(e5,e5) ),
    inference(ennf_transformation,[],[f301]) ).

fof(f301,axiom,
    ~ ( e3 = op(op(e5,e5),e5)
      & e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax301) ).

fof(f4242,plain,
    ( ~ spl0_171
    | ~ spl0_248
    | ~ spl0_150
    | ~ spl0_29
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1745,f3163,f2862,f3412,f3895,f3510]) ).

fof(f1745,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1312]) ).

fof(f1312,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(e5,e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ~ ( e2 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e4 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f4241,plain,
    ~ spl0_308,
    inference(avatar_split_clause,[],[f1588,f4238]) ).

fof(f4238,plain,
    ( spl0_308
  <=> op(e4,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f1588,plain,
    op(e4,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4236,plain,
    ( ~ spl0_130
    | ~ spl0_9
    | ~ spl0_72
    | ~ spl0_101
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1757,f3591,f3183,f3052,f2775,f3320]) ).

fof(f1757,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1388]) ).

fof(f1388,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f731]) ).

fof(f731,axiom,
    ~ ( e4 = op(op(e1,e1),e1)
      & e2 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax731) ).

fof(f4235,plain,
    ( ~ spl0_28
    | ~ spl0_113
    | ~ spl0_150
    | ~ spl0_160
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f2226,f3868,f3457,f3412,f3239,f2858]) ).

fof(f2226,plain,
    ( e1 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1282]) ).

fof(f1282,plain,
    ( e3 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

fof(f4234,plain,
    spl0_307,
    inference(avatar_split_clause,[],[f2482,f4231]) ).

fof(f4231,plain,
    ( spl0_307
  <=> op(op(e4,e0),e4) = op(e4,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f2482,plain,
    op(op(e4,e0),e4) = op(e4,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4229,plain,
    ( ~ spl0_151
    | ~ spl0_2
    | ~ spl0_76
    | ~ spl0_91
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2550,f2757,f3134,f3070,f2745,f3417]) ).

fof(f2550,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1322]) ).

fof(f1322,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f490]) ).

fof(f490,axiom,
    ~ ( op(e0,e0) = e2
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax490) ).

fof(f4228,plain,
    ( spl0_301
    | spl0_302
    | spl0_303
    | spl0_304
    | spl0_305
    | spl0_306 ),
    inference(avatar_split_clause,[],[f2184,f4225,f4221,f4217,f4213,f4209,f4205]) ).

fof(f4205,plain,
    ( spl0_301
  <=> e1 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f4209,plain,
    ( spl0_302
  <=> e5 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f4213,plain,
    ( spl0_303
  <=> e2 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f4217,plain,
    ( spl0_304
  <=> e4 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f4221,plain,
    ( spl0_305
  <=> e0 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f4225,plain,
    ( spl0_306
  <=> e3 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f2184,plain,
    ( e3 = op(e5,e4)
    | e0 = op(e5,e4)
    | e4 = op(e5,e4)
    | e2 = op(e5,e4)
    | e5 = op(e5,e4)
    | e1 = op(e5,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4203,plain,
    ~ spl0_300,
    inference(avatar_split_clause,[],[f1538,f4200]) ).

fof(f4200,plain,
    ( spl0_300
  <=> op(e0,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f1538,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4198,plain,
    ( ~ spl0_146
    | ~ spl0_121
    | ~ spl0_210
    | ~ spl0_212
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1470,f3388,f3711,f3699,f3278,f3392]) ).

fof(f1470,plain,
    ( e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f871]) ).

fof(f871,plain,
    ( e3 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f237]) ).

fof(f237,axiom,
    ~ ( e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(e4,e4),e4)
      & e3 = op(e4,e4)
      & e2 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax237) ).

fof(f4197,plain,
    ( ~ spl0_224
    | ~ spl0_77
    | ~ spl0_90
    | ~ spl0_89
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1754,f3134,f3126,f3130,f3074,f3774]) ).

fof(f1754,plain,
    ( e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1099]) ).

fof(f1099,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f598]) ).

fof(f598,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e3
      & e5 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax598) ).

fof(f4196,plain,
    spl0_299,
    inference(avatar_split_clause,[],[f2399,f4193]) ).

fof(f4193,plain,
    ( spl0_299
  <=> op(op(e3,e4),e2) = op(e3,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f2399,plain,
    op(op(e3,e4),e2) = op(e3,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4191,plain,
    ( ~ spl0_4
    | ~ spl0_107
    | ~ spl0_90
    | ~ spl0_78
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2563,f3192,f3078,f3130,f3211,f2753]) ).

fof(f2563,plain,
    ( e1 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1437]) ).

fof(f1437,plain,
    ( e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f296]) ).

fof(f296,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e3
      & e4 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax296) ).

fof(f4190,plain,
    ( ~ spl0_82
    | ~ spl0_298
    | ~ spl0_109
    | ~ spl0_106
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1717,f3100,f3206,f3221,f4187,f3096]) ).

fof(f1717,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1332]) ).

fof(f1332,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3)
    | e5 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f551]) ).

fof(f551,axiom,
    ~ ( e5 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax551) ).

fof(f4185,plain,
    ( ~ spl0_88
    | ~ spl0_183
    | ~ spl0_89
    | ~ spl0_91
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2286,f3575,f3134,f3126,f3571,f3122]) ).

fof(f2286,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1123]) ).

fof(f1123,plain,
    ( op(e0,e0) != e1
    | e5 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f602]) ).

fof(f602,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e1
      & e5 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax602) ).

fof(f4184,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f2012,f3139]) ).

fof(f3139,plain,
    ( spl0_92
  <=> op(e3,e5) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2012,plain,
    op(e3,e5) = op(e5,e3),
    inference(cnf_transformation,[],[f11]) ).

fof(f4183,plain,
    ( ~ spl0_184
    | ~ spl0_4
    | ~ spl0_225
    | ~ spl0_76
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2608,f3495,f3070,f3778,f2753,f3575]) ).

fof(f2608,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e2
    | e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f853]) ).

fof(f853,plain,
    ( e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f224]) ).

fof(f224,axiom,
    ~ ( e4 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e2
      & e5 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax224) ).

fof(f4182,plain,
    ( ~ spl0_47
    | ~ spl0_187
    | ~ spl0_49
    | ~ spl0_131
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1951,f3052,f3324,f2947,f3591,f2939]) ).

fof(f1951,plain,
    ( e4 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f941]) ).

fof(f941,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(e1,e1)
    | e4 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f347]) ).

fof(f347,axiom,
    ~ ( e5 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e4 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax347) ).

fof(f4181,plain,
    ( ~ spl0_111
    | ~ spl0_161
    | ~ spl0_169
    | ~ spl0_86
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2547,f3221,f3112,f3500,f3463,f3229]) ).

fof(f2547,plain,
    ( e5 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1052]) ).

fof(f1052,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f4180,plain,
    spl0_297,
    inference(avatar_split_clause,[],[f2369,f4177]) ).

fof(f4177,plain,
    ( spl0_297
  <=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f2369,plain,
    op(op(e3,e2),e2) = op(e3,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4175,plain,
    ~ spl0_296,
    inference(avatar_split_clause,[],[f1674,f4172]) ).

fof(f4172,plain,
    ( spl0_296
  <=> op(e1,e3) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f1674,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4170,plain,
    ~ spl0_295,
    inference(avatar_split_clause,[],[f1668,f4167]) ).

fof(f4167,plain,
    ( spl0_295
  <=> op(e3,e3) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f1668,plain,
    op(e3,e3) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4165,plain,
    ( ~ spl0_164
    | ~ spl0_184
    | ~ spl0_168
    | ~ spl0_151
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f2619,f2749,f3417,f3495,f3575,f3476]) ).

fof(f2619,plain,
    ( e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5 ),
    inference(cnf_transformation,[],[f927]) ).

fof(f927,plain,
    ( e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f172,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5
      & e2 = op(op(e0,e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).

fof(f4164,plain,
    ( ~ spl0_106
    | ~ spl0_111
    | ~ spl0_35
    | ~ spl0_227
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1932,f3287,f3789,f2887,f3229,f3206]) ).

fof(f1932,plain,
    ( e2 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1272]) ).

fof(f1272,plain,
    ( e4 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ~ ( e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(e3,e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f4163,plain,
    spl0_294,
    inference(avatar_split_clause,[],[f1769,f4160]) ).

fof(f4160,plain,
    ( spl0_294
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f1769,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4158,plain,
    ( ~ spl0_164
    | ~ spl0_2
    | ~ spl0_151
    | ~ spl0_107
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2242,f3066,f3211,f3417,f2745,f3476]) ).

fof(f2242,plain,
    ( e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5 ),
    inference(cnf_transformation,[],[f807]) ).

fof(f807,plain,
    ( op(e0,e0) != e5
    | e4 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f316]) ).

fof(f316,axiom,
    ~ ( op(e0,e0) = e5
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax316) ).

fof(f4157,plain,
    ~ spl0_293,
    inference(avatar_split_clause,[],[f1684,f4154]) ).

fof(f4154,plain,
    ( spl0_293
  <=> op(e2,e2) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f1684,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4152,plain,
    ~ spl0_292,
    inference(avatar_split_clause,[],[f1627,f4149]) ).

fof(f4149,plain,
    ( spl0_292
  <=> op(e3,e2) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f1627,plain,
    op(e3,e2) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4147,plain,
    spl0_291,
    inference(avatar_split_clause,[],[f2331,f4144]) ).

fof(f4144,plain,
    ( spl0_291
  <=> op(op(e0,e5),e0) = op(e0,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f2331,plain,
    op(op(e0,e5),e0) = op(e0,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4142,plain,
    ( ~ spl0_144
    | ~ spl0_166
    | ~ spl0_190
    | ~ spl0_50
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1847,f3392,f2952,f3606,f3485,f3384]) ).

fof(f1847,plain,
    ( e5 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1124]) ).

fof(f1124,plain,
    ( e5 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,axiom,
    ~ ( e2 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).

fof(f4141,plain,
    ( ~ spl0_76
    | ~ spl0_4
    | ~ spl0_2
    | ~ spl0_225
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2737,f2757,f3778,f2745,f2753,f3070]) ).

fof(f2737,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f1021]) ).

fof(f1021,plain,
    ( op(e0,e0) != e2
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f466]) ).

fof(f466,axiom,
    ~ ( op(e0,e0) = e2
      & e4 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax466) ).

fof(f4140,plain,
    ( ~ spl0_115
    | ~ spl0_114
    | ~ spl0_28
    | ~ spl0_113
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1845,f3506,f3239,f2858,f3243,f3247]) ).

fof(f1845,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1230]) ).

fof(f1230,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f195]) ).

fof(f195,axiom,
    ~ ( e2 = op(e5,e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax195) ).

fof(f4139,plain,
    ~ spl0_290,
    inference(avatar_split_clause,[],[f1492,f4136]) ).

fof(f4136,plain,
    ( spl0_290
  <=> e0 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f1492,plain,
    e0 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f4134,plain,
    ( ~ spl0_158
    | ~ spl0_68
    | ~ spl0_102
    | ~ spl0_71
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1982,f2783,f3048,f3187,f3035,f3447]) ).

fof(f1982,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1) ),
    inference(cnf_transformation,[],[f832]) ).

fof(f832,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ~ ( e2 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(f4133,plain,
    ~ spl0_289,
    inference(avatar_split_clause,[],[f1572,f4130]) ).

fof(f4130,plain,
    ( spl0_289
  <=> op(e1,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f1572,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f4128,plain,
    ~ spl0_288,
    inference(avatar_split_clause,[],[f1675,f4125]) ).

fof(f4125,plain,
    ( spl0_288
  <=> op(e0,e5) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f1675,plain,
    op(e0,e5) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4123,plain,
    ( ~ spl0_135
    | ~ spl0_204
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2554,f3257,f2818,f2814,f3669,f3341]) ).

fof(f2554,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1361]) ).

fof(f1361,plain,
    ( e3 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(e2,e2),e2)
      & e3 = op(e2,e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f4122,plain,
    ( spl0_282
    | spl0_283
    | spl0_284
    | spl0_285
    | spl0_286
    | spl0_287 ),
    inference(avatar_split_clause,[],[f2207,f4119,f4115,f4111,f4107,f4103,f4099]) ).

fof(f4099,plain,
    ( spl0_282
  <=> e5 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f4103,plain,
    ( spl0_283
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f4107,plain,
    ( spl0_284
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f4111,plain,
    ( spl0_285
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f4115,plain,
    ( spl0_286
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f4119,plain,
    ( spl0_287
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f2207,plain,
    ( e0 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e4 = op(e2,e3)
    | e3 = op(e2,e3)
    | e5 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4097,plain,
    ( ~ spl0_141
    | ~ spl0_140
    | ~ spl0_51
    | ~ spl0_50
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f1531,f3699,f2952,f2956,f3367,f3371]) ).

fof(f1531,plain,
    ( e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f754]) ).

fof(f754,plain,
    ( e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f417]) ).

fof(f417,axiom,
    ~ ( e5 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax417) ).

fof(f4096,plain,
    spl0_281,
    inference(avatar_split_clause,[],[f2419,f4093]) ).

fof(f4093,plain,
    ( spl0_281
  <=> op(op(e4,e2),e5) = op(e4,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f2419,plain,
    op(op(e4,e2),e5) = op(e4,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4091,plain,
    ( ~ spl0_229
    | spl0_240 ),
    inference(avatar_split_clause,[],[f2076,f3853,f3800]) ).

fof(f2076,plain,
    ( e0 = inv(e2)
    | e2 != inv(e0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f4090,plain,
    ~ spl0_280,
    inference(avatar_split_clause,[],[f1702,f4087]) ).

fof(f4087,plain,
    ( spl0_280
  <=> op(e2,e1) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f1702,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4085,plain,
    ~ spl0_279,
    inference(avatar_split_clause,[],[f1687,f4082]) ).

fof(f4082,plain,
    ( spl0_279
  <=> op(e2,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f1687,plain,
    op(e2,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4080,plain,
    ( ~ spl0_10
    | ~ spl0_72
    | ~ spl0_8
    | ~ spl0_46
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1957,f3447,f2935,f2771,f3052,f2779]) ).

fof(f1957,plain,
    ( e5 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1060]) ).

fof(f1060,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f448]) ).

fof(f448,axiom,
    ~ ( e5 = op(e1,e1)
      & e4 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax448) ).

fof(f4079,plain,
    ( ~ spl0_31
    | ~ spl0_129
    | ~ spl0_278
    | ~ spl0_160
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1522,f3532,f3457,f4076,f3315,f2870]) ).

fof(f1522,plain,
    ( e2 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1428]) ).

fof(f1428,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5) ),
    inference(ennf_transformation,[],[f421]) ).

fof(f421,axiom,
    ~ ( e0 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(e5,e5),e5)
      & e1 = op(e5,e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax421) ).

fof(f4074,plain,
    spl0_277,
    inference(avatar_split_clause,[],[f2359,f4071]) ).

fof(f4071,plain,
    ( spl0_277
  <=> op(op(e5,e3),e4) = op(e5,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f2359,plain,
    op(op(e5,e3),e4) = op(e5,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4069,plain,
    spl0_276,
    inference(avatar_split_clause,[],[f2512,f4066]) ).

fof(f4066,plain,
    ( spl0_276
  <=> op(op(e5,e1),e5) = op(e5,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f2512,plain,
    op(op(e5,e1),e5) = op(e5,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4064,plain,
    spl0_275,
    inference(avatar_split_clause,[],[f2506,f4061]) ).

fof(f4061,plain,
    ( spl0_275
  <=> op(op(e5,e4),e1) = op(e5,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f2506,plain,
    op(op(e5,e4),e1) = op(e5,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4059,plain,
    spl0_274,
    inference(avatar_split_clause,[],[f2402,f4056]) ).

fof(f4056,plain,
    ( spl0_274
  <=> op(op(e4,e3),e2) = op(e4,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f2402,plain,
    op(op(e4,e3),e2) = op(e4,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4054,plain,
    spl0_273,
    inference(avatar_split_clause,[],[f2435,f4051]) ).

fof(f4051,plain,
    ( spl0_273
  <=> op(op(e4,e2),e1) = op(e4,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f2435,plain,
    op(op(e4,e2),e1) = op(e4,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4049,plain,
    ( ~ spl0_144
    | ~ spl0_189
    | ~ spl0_140
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1929,f3388,f3380,f3367,f3602,f3384]) ).

fof(f1929,plain,
    ( e3 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f901]) ).

fof(f901,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f273]) ).

fof(f273,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4)
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax273) ).

fof(f4048,plain,
    ( ~ spl0_165
    | ~ spl0_53
    | ~ spl0_140
    | ~ spl0_122
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f2736,f3711,f3282,f3367,f2964,f3481]) ).

fof(f2736,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1275]) ).

fof(f1275,plain,
    ( e2 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f175]) ).

fof(f175,axiom,
    ~ ( e0 = op(e4,e4)
      & e2 = op(op(e4,e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e5 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax175) ).

fof(f4047,plain,
    ( ~ spl0_158
    | ~ spl0_102
    | ~ spl0_10
    | ~ spl0_46
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1978,f2931,f2935,f2779,f3187,f3447]) ).

fof(f1978,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(e1,e1) ),
    inference(cnf_transformation,[],[f1008]) ).

fof(f1008,plain,
    ( e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f568]) ).

fof(f568,axiom,
    ~ ( e3 = op(op(e1,e1),e1)
      & e5 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax568) ).

fof(f4046,plain,
    spl0_272,
    inference(avatar_split_clause,[],[f2502,f4043]) ).

fof(f4043,plain,
    ( spl0_272
  <=> op(op(e3,e1),e4) = op(e3,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f2502,plain,
    op(op(e3,e1),e4) = op(e3,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4041,plain,
    ( ~ spl0_224
    | ~ spl0_5
    | ~ spl0_183
    | ~ spl0_225
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2153,f2753,f3778,f3571,f2757,f3774]) ).

fof(f2153,plain,
    ( e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1029]) ).

fof(f1029,plain,
    ( e4 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f464]) ).

fof(f464,axiom,
    ~ ( e5 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(e0,e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax464) ).

fof(f4040,plain,
    spl0_271,
    inference(avatar_split_clause,[],[f2441,f4037]) ).

fof(f4037,plain,
    ( spl0_271
  <=> op(op(e3,e5),e5) = op(e3,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f2441,plain,
    op(op(e3,e5),e5) = op(e3,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4035,plain,
    ( ~ spl0_11
    | ~ spl0_102
    | ~ spl0_47
    | ~ spl0_71
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2731,f2775,f3048,f2939,f3187,f2783]) ).

fof(f2731,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f918]) ).

fof(f918,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ~ ( e3 = op(op(e1,e1),e1)
      & e2 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f4034,plain,
    ~ spl0_270,
    inference(avatar_split_clause,[],[f1601,f4031]) ).

fof(f4031,plain,
    ( spl0_270
  <=> op(e1,e1) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f1601,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4029,plain,
    ( ~ spl0_102
    | ~ spl0_70
    | ~ spl0_46
    | ~ spl0_71
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2163,f2939,f3048,f2935,f3043,f3187]) ).

fof(f2163,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1302]) ).

fof(f1302,plain,
    ( e4 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e4 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f4028,plain,
    ( ~ spl0_163
    | ~ spl0_32
    | ~ spl0_83
    | ~ spl0_188
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1796,f3096,f3597,f3100,f2875,f3471]) ).

fof(f1796,plain,
    ( e2 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f953]) ).

fof(f953,plain,
    ( e4 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f179]) ).

fof(f179,axiom,
    ~ ( e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(e3,e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax179) ).

fof(f4027,plain,
    ( ~ spl0_5
    | ~ spl0_76
    | ~ spl0_112
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1473,f3417,f3192,f3234,f3070,f2757]) ).

fof(f1473,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f768]) ).

fof(f768,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f410]) ).

fof(f410,axiom,
    ~ ( e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e2
      & e4 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax410) ).

fof(f4026,plain,
    ~ spl0_269,
    inference(avatar_split_clause,[],[f1646,f4023]) ).

fof(f4023,plain,
    ( spl0_269
  <=> op(e0,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f1646,plain,
    op(e0,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4021,plain,
    ( ~ spl0_205
    | ~ spl0_223
    | ~ spl0_81
    | ~ spl0_16
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1966,f3341,f2806,f3091,f3769,f3673]) ).

fof(f1966,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f895]) ).

fof(f895,plain,
    ( e3 != op(op(e2,e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ~ ( e1 = op(op(op(e2,e2),e2),e2)
      & e5 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f4020,plain,
    ~ spl0_268,
    inference(avatar_split_clause,[],[f1660,f4017]) ).

fof(f4017,plain,
    ( spl0_268
  <=> op(e0,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f1660,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4015,plain,
    ~ spl0_267,
    inference(avatar_split_clause,[],[f1631,f4012]) ).

fof(f4012,plain,
    ( spl0_267
  <=> op(e2,e0) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f1631,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4010,plain,
    ~ spl0_266,
    inference(avatar_split_clause,[],[f1663,f4007]) ).

fof(f4007,plain,
    ( spl0_266
  <=> op(e1,e0) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f1663,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4005,plain,
    ~ spl0_265,
    inference(avatar_split_clause,[],[f1686,f4002]) ).

fof(f4002,plain,
    ( spl0_265
  <=> op(e1,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f1686,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4000,plain,
    ( ~ spl0_110
    | ~ spl0_109
    | ~ spl0_188
    | ~ spl0_162
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2051,f3202,f3467,f3597,f3221,f3225]) ).

fof(f2051,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f763]) ).

fof(f763,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f136]) ).

fof(f136,axiom,
    ~ ( e5 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e2 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).

fof(f3999,plain,
    ( ~ spl0_220
    | ~ spl0_49
    | ~ spl0_12
    | ~ spl0_187
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2115,f3324,f3591,f2787,f2947,f3753]) ).

fof(f2115,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(e1,e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1131]) ).

fof(f1131,plain,
    ( e3 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f371]) ).

fof(f371,axiom,
    ~ ( e4 = op(op(op(e1,e1),e1),e1)
      & e3 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax371) ).

fof(f3998,plain,
    ( ~ spl0_248
    | ~ spl0_97
    | ~ spl0_66
    | ~ spl0_30
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2700,f3239,f2866,f3025,f3163,f3895]) ).

fof(f2700,plain,
    ( e3 != op(op(e5,e5),e5)
    | e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1258]) ).

fof(f1258,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(e5,e5) ),
    inference(ennf_transformation,[],[f577]) ).

fof(f577,axiom,
    ~ ( e2 = op(op(op(e5,e5),e5),e5)
      & e0 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax577) ).

fof(f3997,plain,
    ( ~ spl0_28
    | ~ spl0_170
    | ~ spl0_129
    | ~ spl0_114
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1908,f3017,f3243,f3315,f3506,f2858]) ).

fof(f1908,plain,
    ( e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1278]) ).

fof(f1278,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f411]) ).

fof(f411,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax411) ).

fof(f3996,plain,
    ( ~ spl0_115
    | ~ spl0_28
    | ~ spl0_247
    | ~ spl0_96
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1481,f3243,f3159,f3891,f2858,f3247]) ).

fof(f1481,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1254]) ).

fof(f1254,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(ennf_transformation,[],[f145]) ).

fof(f145,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).

fof(f3995,plain,
    ( ~ spl0_221
    | ~ spl0_70
    | ~ spl0_8
    | ~ spl0_47
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1827,f3591,f2939,f2771,f3043,f3757]) ).

fof(f1827,plain,
    ( e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f898]) ).

fof(f898,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f443]) ).

fof(f443,axiom,
    ~ ( e5 = op(op(op(e1,e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e4 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax443) ).

fof(f3994,plain,
    ~ spl0_264,
    inference(avatar_split_clause,[],[f1723,f3991]) ).

fof(f3991,plain,
    ( spl0_264
  <=> inv(e0) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f1723,plain,
    inv(e0) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f3989,plain,
    ( ~ spl0_80
    | ~ spl0_203
    | ~ spl0_135
    | ~ spl0_263
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f1469,f3669,f3986,f3341,f3665,f3087]) ).

fof(f1469,plain,
    ( e1 != op(op(e2,e2),e2)
    | e4 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f972]) ).

fof(f972,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e4 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2)
      & e4 = op(e2,e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f3984,plain,
    ( ~ spl0_47
    | ~ spl0_72
    | ~ spl0_46
    | ~ spl0_71
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1969,f2947,f3048,f2935,f3052,f2939]) ).

fof(f1969,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f802]) ).

fof(f802,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e3 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,axiom,
    ~ ( e5 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

fof(f3983,plain,
    ( ~ spl0_209
    | ~ spl0_122
    | ~ spl0_213
    | ~ spl0_121
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f2597,f3711,f3278,f3715,f3282,f3695]) ).

fof(f2597,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1279]) ).

fof(f1279,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f186]) ).

fof(f186,axiom,
    ~ ( e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(e4,e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax186) ).

fof(f3982,plain,
    ( ~ spl0_34
    | ~ spl0_110
    | ~ spl0_84
    | ~ spl0_163
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2325,f3467,f3471,f3104,f3225,f2883]) ).

fof(f2325,plain,
    ( e0 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1270]) ).

fof(f1270,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(ennf_transformation,[],[f623]) ).

fof(f623,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(e3,e3),e3)
      & e2 = op(op(op(e3,e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax623) ).

fof(f3981,plain,
    ( ~ spl0_18
    | ~ spl0_22
    | ~ spl0_17
    | ~ spl0_203
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f1753,f3673,f3665,f2810,f2833,f2814]) ).

fof(f1753,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f1323]) ).

fof(f1323,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f152]) ).

fof(f152,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).

fof(f3980,plain,
    spl0_262,
    inference(avatar_split_clause,[],[f2427,f3977]) ).

fof(f3977,plain,
    ( spl0_262
  <=> op(op(e2,e5),e4) = op(e2,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f2427,plain,
    op(op(e2,e5),e4) = op(e2,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3975,plain,
    spl0_261,
    inference(avatar_split_clause,[],[f2467,f3972]) ).

fof(f3972,plain,
    ( spl0_261
  <=> op(op(e4,e5),e2) = op(e4,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f2467,plain,
    op(op(e4,e5),e2) = op(e4,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3970,plain,
    spl0_260,
    inference(avatar_split_clause,[],[f2444,f3967]) ).

fof(f3967,plain,
    ( spl0_260
  <=> op(op(e1,e5),e1) = op(e1,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f2444,plain,
    op(op(e1,e5),e1) = op(e1,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3965,plain,
    spl0_259,
    inference(avatar_split_clause,[],[f2461,f3962]) ).

fof(f3962,plain,
    ( spl0_259
  <=> op(op(e2,e2),e0) = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f2461,plain,
    op(op(e2,e2),e0) = op(e2,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3960,plain,
    ( ~ spl0_63
    | ~ spl0_150
    | ~ spl0_113
    | ~ spl0_243
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1817,f2850,f3868,f3239,f3412,f3013]) ).

fof(f1817,plain,
    ( e4 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f916]) ).

fof(f916,plain,
    ( e4 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(e5,e5)
      & e1 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(f3959,plain,
    ( ~ spl0_258
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_52
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1911,f3602,f2960,f2964,f2952,f3956]) ).

fof(f1911,plain,
    ( e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1138]) ).

fof(f1138,plain,
    ( e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f613]) ).

fof(f613,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e1 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax613) ).

fof(f3954,plain,
    ( ~ spl0_213
    | ~ spl0_190
    | ~ spl0_166
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2157,f2956,f2952,f3485,f3606,f3715]) ).

fof(f2157,plain,
    ( e1 != op(op(e4,e4),e4)
    | e2 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1152]) ).

fof(f1152,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e1 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f3953,plain,
    ( ~ spl0_5
    | ~ spl0_103
    | ~ spl0_112
    | ~ spl0_88
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1517,f2761,f3122,f3234,f3192,f2757]) ).

fof(f1517,plain,
    ( op(e0,e0) != e4
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f868]) ).

fof(f868,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e4 ),
    inference(ennf_transformation,[],[f404]) ).

fof(f404,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e4
      & e1 = op(op(e0,e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax404) ).

fof(f3952,plain,
    ( ~ spl0_187
    | ~ spl0_9
    | ~ spl0_220
    | ~ spl0_102
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2719,f3183,f3187,f3753,f2775,f3591]) ).

fof(f2719,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f1406]) ).

fof(f1406,plain,
    ( e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f707]) ).

fof(f707,axiom,
    ~ ( e2 = op(e1,e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax707) ).

fof(f3951,plain,
    ~ spl0_257,
    inference(avatar_split_clause,[],[f1611,f3948]) ).

fof(f3948,plain,
    ( spl0_257
  <=> op(e0,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f1611,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f3946,plain,
    spl0_256,
    inference(avatar_split_clause,[],[f2336,f3943]) ).

fof(f3943,plain,
    ( spl0_256
  <=> op(op(e2,e0),e0) = op(e2,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f2336,plain,
    op(op(e2,e0),e0) = op(e2,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3941,plain,
    spl0_255,
    inference(avatar_split_clause,[],[f2350,f3938]) ).

fof(f3938,plain,
    ( spl0_255
  <=> op(op(e5,e1),e3) = op(e5,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f2350,plain,
    op(op(e5,e1),e3) = op(e5,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3936,plain,
    ( ~ spl0_81
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_117
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f1893,f3769,f3257,f3341,f3337,f3091]) ).

fof(f1893,plain,
    ( e3 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2) ),
    inference(cnf_transformation,[],[f884]) ).

fof(f884,plain,
    ( e3 != op(op(e2,e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,axiom,
    ~ ( e3 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

fof(f3935,plain,
    ~ spl0_254,
    inference(avatar_split_clause,[],[f1729,f3932]) ).

fof(f3932,plain,
    ( spl0_254
  <=> inv(e4) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1729,plain,
    inv(e4) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f3930,plain,
    ~ spl0_253,
    inference(avatar_split_clause,[],[f1670,f3927]) ).

fof(f3927,plain,
    ( spl0_253
  <=> op(e0,e5) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f1670,plain,
    op(e0,e5) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3925,plain,
    ( ~ spl0_103
    | ~ spl0_90
    | ~ spl0_224
    | ~ spl0_151
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2690,f3082,f3417,f3774,f3130,f3192]) ).

fof(f2690,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e3
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f1375]) ).

fof(f1375,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3
    | e2 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f658]) ).

fof(f658,axiom,
    ~ ( e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e3
      & e1 = op(op(e0,e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax658) ).

fof(f3924,plain,
    ~ spl0_252,
    inference(avatar_split_clause,[],[f1661,f3921]) ).

fof(f3921,plain,
    ( spl0_252
  <=> op(e2,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f1661,plain,
    op(e2,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3919,plain,
    ( ~ spl0_78
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_103
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1853,f3476,f3192,f3211,f3196,f3078]) ).

fof(f1853,plain,
    ( op(e0,e0) != e5
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1178]) ).

fof(f1178,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f286]) ).

fof(f286,axiom,
    ~ ( op(e0,e0) = e5
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(e0,e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax286) ).

fof(f3918,plain,
    ( ~ spl0_49
    | ~ spl0_46
    | ~ spl0_12
    | ~ spl0_45
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1902,f2779,f2931,f2787,f2935,f2947]) ).

fof(f1902,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f818]) ).

fof(f818,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f592]) ).

fof(f592,axiom,
    ~ ( e2 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e0 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax592) ).

fof(f3917,plain,
    ( ~ spl0_54
    | ~ spl0_53
    | ~ spl0_165
    | ~ spl0_180
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2317,f2960,f3556,f3481,f2964,f2968]) ).

fof(f2317,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1141,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(e4,e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f661]) ).

fof(f661,axiom,
    ~ ( e1 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax661) ).

fof(f3916,plain,
    ~ spl0_251,
    inference(avatar_split_clause,[],[f1725,f3913]) ).

fof(f3913,plain,
    ( spl0_251
  <=> inv(e2) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f1725,plain,
    inv(e2) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f3911,plain,
    ( ~ spl0_11
    | ~ spl0_132
    | ~ spl0_12
    | ~ spl0_68
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2166,f2771,f3035,f2787,f3328,f2783]) ).

fof(f2166,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f771]) ).

fof(f771,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f480]) ).

fof(f480,axiom,
    ~ ( e5 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax480) ).

fof(f3910,plain,
    ( ~ spl0_66
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_28
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2669,f3506,f2858,f3021,f3017,f3025]) ).

fof(f2669,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f930]) ).

fof(f930,plain,
    ( e2 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f531]) ).

fof(f531,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e2 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax531) ).

fof(f3909,plain,
    spl0_250,
    inference(avatar_split_clause,[],[f2457,f3906]) ).

fof(f3906,plain,
    ( spl0_250
  <=> op(op(e1,e2),e5) = op(e1,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f2457,plain,
    op(op(e1,e2),e5) = op(e1,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3904,plain,
    ( ~ spl0_63
    | ~ spl0_243
    | ~ spl0_30
    | ~ spl0_66
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1842,f3239,f3025,f2866,f3868,f3013]) ).

fof(f1842,plain,
    ( e3 != op(op(e5,e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1148]) ).

fof(f1148,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f571]) ).

fof(f571,axiom,
    ~ ( e3 = op(op(e5,e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5)
      & e0 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax571) ).

fof(f3903,plain,
    spl0_249,
    inference(avatar_split_clause,[],[f2516,f3900]) ).

fof(f3900,plain,
    ( spl0_249
  <=> op(op(e0,e2),e3) = op(e0,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2516,plain,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3898,plain,
    ( ~ spl0_247
    | ~ spl0_96
    | ~ spl0_248
    | ~ spl0_115
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2128,f2850,f3247,f3895,f3159,f3891]) ).

fof(f2128,plain,
    ( e4 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1240]) ).

fof(f1240,plain,
    ( e2 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f135,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(e5,e5)
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

fof(f3889,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f2348,f3886]) ).

fof(f3886,plain,
    ( spl0_246
  <=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f2348,plain,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3884,plain,
    spl0_245,
    inference(avatar_split_clause,[],[f1771,f3881]) ).

fof(f3881,plain,
    ( spl0_245
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1771,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3879,plain,
    ( ~ spl0_77
    | ~ spl0_89
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1903,f3234,f3070,f3066,f3126,f3074]) ).

fof(f1903,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1287]) ).

fof(f1287,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f572]) ).

fof(f572,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e2
      & e5 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax572) ).

fof(f3878,plain,
    ( ~ spl0_103
    | ~ spl0_224
    | ~ spl0_104
    | ~ spl0_89
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2665,f3476,f3126,f3196,f3774,f3192]) ).

fof(f2665,plain,
    ( op(e0,e0) != e5
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f981]) ).

fof(f981,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e5 ),
    inference(ennf_transformation,[],[f532]) ).

fof(f532,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e5
      & e3 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax532) ).

fof(f3877,plain,
    ( ~ spl0_140
    | ~ spl0_180
    | ~ spl0_142
    | ~ spl0_141
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2154,f3602,f3371,f3375,f3556,f3367]) ).

fof(f2154,plain,
    ( e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f780]) ).

fof(f780,plain,
    ( e1 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f391]) ).

fof(f391,axiom,
    ~ ( e5 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax391) ).

fof(f3876,plain,
    spl0_244,
    inference(avatar_split_clause,[],[f2392,f3873]) ).

fof(f3873,plain,
    ( spl0_244
  <=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f2392,plain,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3871,plain,
    ( ~ spl0_243
    | ~ spl0_170
    | ~ spl0_28
    | ~ spl0_113
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2217,f3025,f3239,f2858,f3506,f3868]) ).

fof(f2217,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f772]) ).

fof(f772,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5) ),
    inference(ennf_transformation,[],[f573]) ).

fof(f573,axiom,
    ~ ( e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(op(e5,e5),e5),e5)
      & e2 = op(e5,e5)
      & e3 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax573) ).

fof(f3866,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_221
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2551,f3447,f3757,f2783,f2771,f2779]) ).

fof(f2551,plain,
    ( e5 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1445]) ).

fof(f1445,plain,
    ( e5 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f424]) ).

fof(f424,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax424) ).

fof(f3865,plain,
    spl0_242,
    inference(avatar_split_clause,[],[f2450,f3862]) ).

fof(f3862,plain,
    ( spl0_242
  <=> op(op(e0,e1),e1) = op(e0,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f2450,plain,
    op(op(e0,e1),e1) = op(e0,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3860,plain,
    ( spl0_126
    | spl0_74
    | spl0_238
    | spl0_239
    | spl0_240
    | spl0_241 ),
    inference(avatar_split_clause,[],[f2304,f3857,f3853,f3849,f3845,f3061,f3301]) ).

fof(f3061,plain,
    ( spl0_74
  <=> e3 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3845,plain,
    ( spl0_238
  <=> e2 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f2304,plain,
    ( e4 = inv(e2)
    | e0 = inv(e2)
    | e5 = inv(e2)
    | e2 = inv(e2)
    | e3 = inv(e2)
    | e1 = inv(e2) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f3843,plain,
    ~ spl0_237,
    inference(avatar_split_clause,[],[f1598,f3840]) ).

fof(f3840,plain,
    ( spl0_237
  <=> op(e2,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f1598,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3838,plain,
    spl0_236,
    inference(avatar_split_clause,[],[f2412,f3835]) ).

fof(f3835,plain,
    ( spl0_236
  <=> op(op(e4,e0),e0) = op(e4,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2412,plain,
    op(op(e4,e0),e0) = op(e4,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3833,plain,
    spl0_235,
    inference(avatar_split_clause,[],[f2395,f3830]) ).

fof(f3830,plain,
    ( spl0_235
  <=> op(op(e0,e2),e2) = op(e0,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f2395,plain,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3828,plain,
    ( ~ spl0_121
    | ~ spl0_189
    | ~ spl0_141
    | ~ spl0_191
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2146,f3384,f3610,f3371,f3602,f3278]) ).

fof(f2146,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f942]) ).

fof(f942,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e5 != op(e4,e4) ),
    inference(ennf_transformation,[],[f383]) ).

fof(f383,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(e4,e4),e4)
      & e5 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax383) ).

fof(f3827,plain,
    ( ~ spl0_72
    | ~ spl0_9
    | ~ spl0_47
    | ~ spl0_187
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1960,f2771,f3591,f2939,f2775,f3052]) ).

fof(f1960,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e4 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1022]) ).

fof(f1022,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f467]) ).

fof(f467,axiom,
    ~ ( e4 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax467) ).

fof(f3826,plain,
    ( ~ spl0_35
    | ~ spl0_124
    | ~ spl0_33
    | ~ spl0_85
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f1526,f3789,f3108,f2879,f3291,f2887]) ).

fof(f1526,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f779]) ).

fof(f779,plain,
    ( e4 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f324]) ).

fof(f324,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(e3,e3),e3)
      & e0 = op(op(op(e3,e3),e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax324) ).

fof(f3825,plain,
    spl0_234,
    inference(avatar_split_clause,[],[f2371,f3822]) ).

fof(f3822,plain,
    ( spl0_234
  <=> op(op(e0,e0),e5) = op(e0,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f2371,plain,
    op(op(e0,e0),e5) = op(e0,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3820,plain,
    ( ~ spl0_78
    | ~ spl0_3
    | ~ spl0_90
    | ~ spl0_4
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2101,f3495,f2753,f3130,f2749,f3078]) ).

fof(f2101,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1093]) ).

fof(f1093,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f176]) ).

fof(f176,axiom,
    ~ ( e5 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax176) ).

fof(f3819,plain,
    ( spl0_229
    | spl0_193
    | spl0_230
    | spl0_231
    | spl0_232
    | spl0_233 ),
    inference(avatar_split_clause,[],[f2300,f3816,f3812,f3808,f3804,f3619,f3800]) ).

fof(f3816,plain,
    ( spl0_233
  <=> e0 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f2300,plain,
    ( e0 = inv(e0)
    | e3 = inv(e0)
    | e4 = inv(e0)
    | e5 = inv(e0)
    | e1 = inv(e0)
    | e2 = inv(e0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f3798,plain,
    ~ spl0_228,
    inference(avatar_split_clause,[],[f1580,f3795]) ).

fof(f3795,plain,
    ( spl0_228
  <=> op(e5,e1) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f1580,plain,
    op(e5,e1) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3793,plain,
    ( ~ spl0_168
    | ~ spl0_91
    | ~ spl0_184
    | ~ spl0_88
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1881,f2761,f3122,f3575,f3134,f3495]) ).

fof(f1881,plain,
    ( op(e0,e0) != e4
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f828]) ).

fof(f828,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f238]) ).

fof(f238,axiom,
    ~ ( op(e0,e0) = e4
      & e5 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax238) ).

fof(f3792,plain,
    ( ~ spl0_86
    | ~ spl0_162
    | ~ spl0_188
    | ~ spl0_123
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2724,f3789,f3287,f3597,f3467,f3112]) ).

fof(f2724,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f882]) ).

fof(f882,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f144,axiom,
    ~ ( e4 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(e3,e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).

fof(f3787,plain,
    ( ~ spl0_143
    | ~ spl0_180
    | ~ spl0_146
    | ~ spl0_210
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f2109,f3606,f3699,f3392,f3556,f3380]) ).

fof(f2109,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(e4,e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f988]) ).

fof(f988,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f363]) ).

fof(f363,axiom,
    ~ ( e1 = op(e4,e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax363) ).

fof(f3786,plain,
    spl0_226,
    inference(avatar_split_clause,[],[f2417,f3783]) ).

fof(f3783,plain,
    ( spl0_226
  <=> op(op(e3,e3),e5) = op(e3,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f2417,plain,
    op(op(e3,e3),e5) = op(e3,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3781,plain,
    ( ~ spl0_168
    | ~ spl0_224
    | ~ spl0_164
    | ~ spl0_104
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f1952,f3778,f3196,f3476,f3774,f3495]) ).

fof(f1952,plain,
    ( e4 != op(op(e0,e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f879]) ).

fof(f879,plain,
    ( e2 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e5
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f220]) ).

fof(f220,axiom,
    ~ ( e3 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e5
      & e4 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax220) ).

fof(f3772,plain,
    ( ~ spl0_223
    | ~ spl0_16
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1793,f2845,f2818,f2802,f2806,f3769]) ).

fof(f1793,plain,
    ( e0 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f946]) ).

fof(f946,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f570]) ).

fof(f570,axiom,
    ~ ( e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax570) ).

fof(f3767,plain,
    spl0_222,
    inference(avatar_split_clause,[],[f2372,f3764]) ).

fof(f3764,plain,
    ( spl0_222
  <=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f2372,plain,
    op(op(e3,e2),e1) = op(e3,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3762,plain,
    ( ~ spl0_162
    | ~ spl0_123
    | ~ spl0_188
    | ~ spl0_105
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1868,f2875,f3202,f3597,f3287,f3467]) ).

fof(f1868,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1084]) ).

fof(f1084,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f150]) ).

fof(f150,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).

fof(f3761,plain,
    ( ~ spl0_121
    | ~ spl0_189
    | ~ spl0_52
    | ~ spl0_180
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2152,f2964,f3556,f2960,f3602,f3278]) ).

fof(f2152,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f841]) ).

fof(f841,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f619]) ).

fof(f619,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(e4,e4)
      & e2 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax619) ).

fof(f3760,plain,
    ( ~ spl0_73
    | ~ spl0_71
    | ~ spl0_220
    | ~ spl0_221
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1835,f3447,f3757,f3753,f3048,f3056]) ).

fof(f1835,plain,
    ( e5 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(cnf_transformation,[],[f792]) ).

fof(f792,plain,
    ( e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(e1,e1),e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ~ ( e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(op(op(e1,e1),e1),e1),e1)
      & e4 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(e1,e1),e1)
      & e5 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f3751,plain,
    spl0_219,
    inference(avatar_split_clause,[],[f2001,f3748]) ).

fof(f2001,plain,
    op(e1,e2) = op(e2,e1),
    inference(cnf_transformation,[],[f11]) ).

fof(f3746,plain,
    ( ~ spl0_150
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2633,f3013,f2850,f3021,f3017,f3412]) ).

fof(f2633,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f1172]) ).

fof(f1172,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e4 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f3745,plain,
    spl0_218,
    inference(avatar_split_clause,[],[f2508,f3742]) ).

fof(f3742,plain,
    ( spl0_218
  <=> op(op(e0,e5),e1) = op(e0,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f2508,plain,
    op(op(e0,e5),e1) = op(e0,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3740,plain,
    spl0_217,
    inference(avatar_split_clause,[],[f2384,f3737]) ).

fof(f3737,plain,
    ( spl0_217
  <=> op(op(e1,e3),e5) = op(e1,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f2384,plain,
    op(op(e1,e3),e5) = op(e1,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3735,plain,
    ( ~ spl0_97
    | ~ spl0_29
    | ~ spl0_96
    | ~ spl0_95
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2596,f3243,f3155,f3159,f2862,f3163]) ).

fof(f2596,plain,
    ( e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f803]) ).

fof(f803,plain,
    ( e3 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(ennf_transformation,[],[f267]) ).

fof(f267,axiom,
    ~ ( e0 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e3 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax267) ).

fof(f3734,plain,
    spl0_216,
    inference(avatar_split_clause,[],[f2471,f3731]) ).

fof(f3731,plain,
    ( spl0_216
  <=> op(op(e0,e1),e5) = op(e0,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f2471,plain,
    op(op(e0,e1),e5) = op(e0,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3729,plain,
    spl0_215,
    inference(avatar_split_clause,[],[f2354,f3726]) ).

fof(f3726,plain,
    ( spl0_215
  <=> op(op(e5,e2),e2) = op(e5,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f2354,plain,
    op(op(e5,e2),e2) = op(e5,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3724,plain,
    spl0_214,
    inference(avatar_split_clause,[],[f2382,f3721]) ).

fof(f3721,plain,
    ( spl0_214
  <=> op(op(e3,e4),e3) = op(e3,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f2382,plain,
    op(op(e3,e4),e3) = op(e3,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3719,plain,
    ( ~ spl0_171
    | ~ spl0_30
    | ~ spl0_115
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1875,f3021,f3013,f3247,f2866,f3510]) ).

fof(f1875,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e4 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f920]) ).

fof(f920,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(e5,e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f217]) ).

fof(f217,axiom,
    ~ ( e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax217) ).

fof(f3718,plain,
    ( ~ spl0_212
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_209
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f1743,f3715,f3695,f2968,f2952,f3711]) ).

fof(f1743,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f991]) ).

fof(f991,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f180]) ).

fof(f180,axiom,
    ~ ( e1 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e3 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax180) ).

fof(f3709,plain,
    ( ~ spl0_53
    | ~ spl0_189
    | ~ spl0_180
    | ~ spl0_140
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2726,f3380,f3367,f3556,f3602,f2964]) ).

fof(f2726,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e1 != op(e4,e4)
    | e0 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f870]) ).

fof(f870,plain,
    ( e0 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f271]) ).

fof(f271,axiom,
    ~ ( e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(e4,e4),e4)
      & e5 = op(op(op(e4,e4),e4),e4)
      & e1 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax271) ).

fof(f3708,plain,
    ( ~ spl0_178
    | ~ spl0_18
    | ~ spl0_203
    | ~ spl0_204
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2117,f2802,f3669,f3665,f2814,f3547]) ).

fof(f2117,plain,
    ( e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1226]) ).

fof(f1226,plain,
    ( e3 != op(e2,e2)
    | e5 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f539]) ).

fof(f539,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax539) ).

fof(f3707,plain,
    spl0_211,
    inference(avatar_split_clause,[],[f2510,f3704]) ).

fof(f3704,plain,
    ( spl0_211
  <=> op(op(e1,e1),e5) = op(e1,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f2510,plain,
    op(op(e1,e1),e5) = op(e1,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3702,plain,
    ( ~ spl0_52
    | ~ spl0_121
    | ~ spl0_209
    | ~ spl0_210
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2708,f3556,f3699,f3695,f3278,f2960]) ).

fof(f2708,plain,
    ( e1 != op(e4,e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(e4,e4),e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f795]) ).

fof(f795,plain,
    ( e1 != op(e4,e4)
    | e3 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f699]) ).

fof(f699,axiom,
    ~ ( e2 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e3 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax699) ).

fof(f3693,plain,
    ( ~ spl0_99
    | ~ spl0_111
    | ~ spl0_85
    | ~ spl0_86
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2296,f3463,f3112,f3108,f3229,f3173]) ).

fof(f2296,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1426]) ).

fof(f1426,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f127]) ).

fof(f127,axiom,
    ~ ( e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).

fof(f3692,plain,
    spl0_208,
    inference(avatar_split_clause,[],[f2528,f3689]) ).

fof(f3689,plain,
    ( spl0_208
  <=> op(op(e1,e5),e0) = op(e1,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f2528,plain,
    op(op(e1,e5),e0) = op(e1,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3687,plain,
    ~ spl0_207,
    inference(avatar_split_clause,[],[f1691,f3684]) ).

fof(f3684,plain,
    ( spl0_207
  <=> op(e2,e0) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f1691,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3682,plain,
    ( ~ spl0_180
    | ~ spl0_189
    | ~ spl0_142
    | ~ spl0_52
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f2044,f3606,f2960,f3375,f3602,f3556]) ).

fof(f2044,plain,
    ( e3 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(e4,e4),e4)
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1072]) ).

fof(f1072,plain,
    ( e1 != op(e4,e4)
    | e0 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e3 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f625]) ).

fof(f625,axiom,
    ~ ( e0 = op(op(e4,e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e1 = op(e4,e4)
      & e3 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax625) ).

fof(f3681,plain,
    ( ~ spl0_170
    | ~ spl0_95
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1504,f2850,f3021,f3017,f3155,f3506]) ).

fof(f1504,plain,
    ( e4 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f774]) ).

fof(f774,plain,
    ( e1 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f285]) ).

fof(f285,axiom,
    ~ ( e4 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e3 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(e5,e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax285) ).

fof(f3680,plain,
    ( ~ spl0_203
    | ~ spl0_204
    | ~ spl0_205
    | ~ spl0_25
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f1871,f3677,f2845,f3673,f3669,f3665]) ).

fof(f1871,plain,
    ( e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(e2,e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1135]) ).

fof(f1135,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f414]) ).

fof(f414,axiom,
    ~ ( e3 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(e2,e2)
      & e5 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax414) ).

fof(f3663,plain,
    ( spl0_197
    | spl0_198
    | spl0_199
    | spl0_200
    | spl0_201
    | spl0_202 ),
    inference(avatar_split_clause,[],[f2197,f3660,f3656,f3652,f3648,f3644,f3640]) ).

fof(f3640,plain,
    ( spl0_197
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f3644,plain,
    ( spl0_198
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f3648,plain,
    ( spl0_199
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f3652,plain,
    ( spl0_200
  <=> e5 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f3656,plain,
    ( spl0_201
  <=> e4 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f3660,plain,
    ( spl0_202
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f2197,plain,
    ( e0 = op(e2,e0)
    | e4 = op(e2,e0)
    | e5 = op(e2,e0)
    | e1 = op(e2,e0)
    | e3 = op(e2,e0)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f3638,plain,
    ( ~ spl0_12
    | ~ spl0_187
    | ~ spl0_49
    | ~ spl0_68
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f2246,f2931,f3035,f2947,f3591,f2787]) ).

fof(f2246,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e5 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f1325]) ).

fof(f1325,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f605]) ).

fof(f605,axiom,
    ~ ( e5 = op(op(e1,e1),e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax605) ).

fof(f3637,plain,
    spl0_196,
    inference(avatar_split_clause,[],[f2345,f3634]) ).

fof(f3634,plain,
    ( spl0_196
  <=> op(op(e4,e3),e3) = op(e4,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f2345,plain,
    op(op(e4,e3),e3) = op(e4,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3632,plain,
    spl0_195,
    inference(avatar_split_clause,[],[f2540,f3629]) ).

fof(f3629,plain,
    ( spl0_195
  <=> op(op(e5,e3),e1) = op(e5,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f2540,plain,
    op(op(e5,e3),e1) = op(e5,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3627,plain,
    spl0_194,
    inference(avatar_split_clause,[],[f2014,f3624]) ).

fof(f2014,plain,
    op(e0,e5) = op(e5,e0),
    inference(cnf_transformation,[],[f11]) ).

fof(f3622,plain,
    ( ~ spl0_192
    | spl0_193 ),
    inference(avatar_split_clause,[],[f2081,f3619,f3615]) ).

fof(f2081,plain,
    ( e1 = inv(e0)
    | e0 != inv(e1) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f3613,plain,
    ( ~ spl0_144
    | ~ spl0_189
    | ~ spl0_143
    | ~ spl0_190
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f1930,f3610,f3606,f3380,f3602,f3384]) ).

fof(f1930,plain,
    ( e5 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f1390]) ).

fof(f1390,plain,
    ( e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(e4,e4)
    | e3 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(e4,e4),e4) ),
    inference(ennf_transformation,[],[f263]) ).

fof(f263,axiom,
    ~ ( e5 = op(e4,e4)
      & e0 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax263) ).

fof(f3600,plain,
    ( ~ spl0_188
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_109
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1852,f3463,f3221,f3112,f3467,f3597]) ).

fof(f1852,plain,
    ( e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1421]) ).

fof(f1421,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(e3,e3) ),
    inference(ennf_transformation,[],[f149]) ).

fof(f149,axiom,
    ~ ( e5 = op(e3,e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).

fof(f3595,plain,
    ( ~ spl0_80
    | ~ spl0_117
    | ~ spl0_17
    | ~ spl0_177
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1955,f3551,f3543,f2810,f3257,f3087]) ).

fof(f1955,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f1201]) ).

fof(f1201,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f630]) ).

fof(f630,axiom,
    ~ ( e0 = op(op(e2,e2),e2)
      & e1 = op(e2,e2)
      & e4 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax630) ).

fof(f3594,plain,
    ( ~ spl0_8
    | ~ spl0_70
    | ~ spl0_187
    | ~ spl0_68
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1883,f2787,f3035,f3591,f3043,f2771]) ).

fof(f1883,plain,
    ( e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1265]) ).

fof(f1265,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f485]) ).

fof(f485,axiom,
    ~ ( e4 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax485) ).

fof(f3589,plain,
    ( ~ spl0_145
    | ~ spl0_52
    | ~ spl0_142
    | ~ spl0_54
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1519,f2956,f2968,f3375,f2960,f3388]) ).

fof(f1519,plain,
    ( e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1192]) ).

fof(f1192,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f639]) ).

fof(f639,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(e4,e4)
      & e1 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax639) ).

fof(f3588,plain,
    spl0_186,
    inference(avatar_split_clause,[],[f2394,f3585]) ).

fof(f3585,plain,
    ( spl0_186
  <=> op(op(e5,e0),e1) = op(e5,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2394,plain,
    op(op(e5,e0),e1) = op(e5,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3583,plain,
    spl0_185,
    inference(avatar_split_clause,[],[f1768,f3580]) ).

fof(f3580,plain,
    ( spl0_185
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1768,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f3578,plain,
    ( ~ spl0_107
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_151
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2269,f3134,f3417,f3575,f3571,f3211]) ).

fof(f2269,plain,
    ( e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1073]) ).

fof(f1073,plain,
    ( e5 != op(op(e0,e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f368]) ).

fof(f368,axiom,
    ~ ( e3 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(e0,e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax368) ).

fof(f3569,plain,
    ( ~ spl0_181
    | spl0_182 ),
    inference(avatar_split_clause,[],[f2093,f3566,f3562]) ).

fof(f2093,plain,
    ( e4 = inv(e1)
    | e1 != inv(e4) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f3560,plain,
    ( ~ spl0_114
    | ~ spl0_150
    | ~ spl0_97
    | ~ spl0_28
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1884,f3239,f2858,f3163,f3412,f3243]) ).

fof(f1884,plain,
    ( e3 != op(op(e5,e5),e5)
    | e2 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1185]) ).

fof(f1185,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ~ ( e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e4 = op(op(op(e5,e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e2 = op(e5,e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

fof(f3559,plain,
    ( ~ spl0_180
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2121,f2968,f2964,f3392,f3380,f3556]) ).

fof(f2121,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1395]) ).

fof(f1395,plain,
    ( e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f349]) ).

fof(f349,axiom,
    ~ ( e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(e4,e4)
      & e5 = op(op(e4,e4),e4)
      & e0 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax349) ).

fof(f3554,plain,
    ( ~ spl0_23
    | ~ spl0_177
    | ~ spl0_24
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2699,f3551,f3547,f2841,f3543,f2837]) ).

fof(f2699,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f903]) ).

fof(f903,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f729]) ).

fof(f729,axiom,
    ~ ( e0 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e1 = op(e2,e2)
      & e4 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax729) ).

fof(f3541,plain,
    ~ spl0_176,
    inference(avatar_split_clause,[],[f1496,f3538]) ).

fof(f3538,plain,
    ( spl0_176
  <=> e2 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1496,plain,
    e2 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f3536,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f2022,f3402]) ).

fof(f3402,plain,
    ( spl0_148
  <=> op(e4,e5) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2022,plain,
    op(e4,e5) = op(e5,e4),
    inference(cnf_transformation,[],[f11]) ).

fof(f3535,plain,
    ( ~ spl0_175
    | ~ spl0_170
    | ~ spl0_66
    | ~ spl0_65
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2056,f2870,f3021,f3025,f3506,f3532]) ).

fof(f2056,plain,
    ( e1 != op(e5,e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1398]) ).

fof(f1398,plain,
    ( e1 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(e5,e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f555]) ).

fof(f555,axiom,
    ~ ( e1 = op(e5,e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e2 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax555) ).

fof(f3530,plain,
    spl0_174,
    inference(avatar_split_clause,[],[f2034,f3527]) ).

fof(f2034,plain,
    op(e2,e4) = op(e4,e2),
    inference(cnf_transformation,[],[f11]) ).

fof(f3525,plain,
    ~ spl0_173,
    inference(avatar_split_clause,[],[f1628,f3522]) ).

fof(f3522,plain,
    ( spl0_173
  <=> op(e0,e1) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1628,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3520,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f2032,f3117]) ).

fof(f3117,plain,
    ( spl0_87
  <=> op(e3,e4) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2032,plain,
    op(e3,e4) = op(e4,e3),
    inference(cnf_transformation,[],[f11]) ).

fof(f3519,plain,
    ~ spl0_172,
    inference(avatar_split_clause,[],[f1578,f3516]) ).

fof(f3516,plain,
    ( spl0_172
  <=> op(e0,e0) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1578,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f3514,plain,
    ( ~ spl0_84
    | ~ spl0_106
    | ~ spl0_83
    | ~ spl0_163
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2613,f3096,f3471,f3100,f3206,f3104]) ).

fof(f2613,plain,
    ( e2 != op(op(e3,e3),e3)
    | e4 != op(e3,e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f1153]) ).

fof(f1153,plain,
    ( e4 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f671]) ).

fof(f671,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(op(op(e3,e3),e3),e3)
      & e4 = op(e3,e3)
      & e2 = op(op(e3,e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax671) ).

fof(f3513,plain,
    ( ~ spl0_65
    | ~ spl0_170
    | ~ spl0_171
    | ~ spl0_31
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2042,f3155,f2870,f3510,f3506,f3021]) ).

fof(f2042,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(e5,e5)
    | e4 != op(op(e5,e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(cnf_transformation,[],[f1100]) ).

fof(f1100,plain,
    ( e4 != op(op(e5,e5),e5)
    | e1 != op(e5,e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f339]) ).

fof(f339,axiom,
    ~ ( e1 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(op(e5,e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax339) ).

fof(f3504,plain,
    ( ~ spl0_104
    | ~ spl0_107
    | ~ spl0_112
    | ~ spl0_103
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1780,f2761,f3192,f3234,f3211,f3196]) ).

fof(f1780,plain,
    ( op(e0,e0) != e4
    | e1 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f909]) ).

fof(f909,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e3 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e4
    | e1 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f284]) ).

fof(f284,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e3 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax284) ).

fof(f3503,plain,
    ( ~ spl0_161
    | ~ spl0_111
    | ~ spl0_169
    | ~ spl0_32
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2114,f3471,f2875,f3500,f3229,f3463]) ).

fof(f2114,plain,
    ( e4 != op(e3,e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1110]) ).

fof(f1110,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(e3,e3),e3)
    | e5 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e4 = op(e3,e3)
      & e5 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f3498,plain,
    ( ~ spl0_90
    | ~ spl0_151
    | ~ spl0_3
    | ~ spl0_168
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1503,f3234,f3495,f2749,f3417,f3130]) ).

fof(f1503,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f1419]) ).

fof(f1419,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f170]) ).

fof(f170,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).

fof(f3493,plain,
    spl0_167,
    inference(avatar_split_clause,[],[f2535,f3490]) ).

fof(f3490,plain,
    ( spl0_167
  <=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2535,plain,
    op(op(e1,e3),e3) = op(e1,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3488,plain,
    ( ~ spl0_165
    | ~ spl0_140
    | ~ spl0_166
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2590,f3388,f3384,f3485,f3367,f3481]) ).

fof(f2590,plain,
    ( e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4)
    | e2 != op(op(e4,e4),e4) ),
    inference(cnf_transformation,[],[f1292]) ).

fof(f1292,plain,
    ( e2 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ~ ( e5 = op(op(op(e4,e4),e4),e4)
      & e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(e4,e4),e4)
      & e3 = op(e4,e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f3479,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_164
    | ~ spl0_151
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2257,f2757,f3417,f3476,f2749,f2745]) ).

fof(f2257,plain,
    ( e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e5
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1335]) ).

fof(f1335,plain,
    ( e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e5
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f436]) ).

fof(f436,axiom,
    ~ ( op(e0,e0) = e5
      & e2 = op(op(e0,e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax436) ).

fof(f3474,plain,
    ( ~ spl0_161
    | ~ spl0_106
    | ~ spl0_162
    | ~ spl0_163
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2603,f3104,f3471,f3467,f3206,f3463]) ).

fof(f2603,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f874]) ).

fof(f874,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | e4 != op(e3,e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f617]) ).

fof(f617,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(e3,e3)
      & e0 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax617) ).

fof(f3461,plain,
    ( ~ spl0_79
    | ~ spl0_6
    | ~ spl0_75
    | ~ spl0_2
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2169,f3122,f2745,f3066,f2761,f3082]) ).

fof(f2169,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e4
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f1169]) ).

fof(f1169,plain,
    ( op(e0,e0) != e4
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f700]) ).

fof(f700,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & op(e0,e0) = e4
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax700) ).

fof(f3460,plain,
    ( ~ spl0_96
    | ~ spl0_160
    | ~ spl0_95
    | ~ spl0_31
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1818,f3021,f2870,f3155,f3457,f3159]) ).

fof(f1818,plain,
    ( e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1239]) ).

fof(f1239,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),e5)
    | e1 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f259]) ).

fof(f259,axiom,
    ~ ( e3 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),e5)
      & e1 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax259) ).

fof(f3455,plain,
    spl0_159,
    inference(avatar_split_clause,[],[f2404,f3452]) ).

fof(f3452,plain,
    ( spl0_159
  <=> op(op(e1,e0),e0) = op(e1,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2404,plain,
    op(op(e1,e0),e0) = op(e1,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3450,plain,
    ( ~ spl0_10
    | ~ spl0_158
    | ~ spl0_102
    | ~ spl0_131
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2232,f2783,f3324,f3187,f3447,f2779]) ).

fof(f2232,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e0 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f888]) ).

fof(f888,plain,
    ( e0 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e5 != op(e1,e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e4 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f304]) ).

fof(f304,axiom,
    ~ ( e5 = op(e1,e1)
      & e0 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax304) ).

fof(f3445,plain,
    ( spl0_152
    | spl0_153
    | spl0_154
    | spl0_155
    | spl0_156
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2194,f3442,f3438,f3434,f3430,f3426,f3422]) ).

fof(f3422,plain,
    ( spl0_152
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3426,plain,
    ( spl0_153
  <=> e5 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3430,plain,
    ( spl0_154
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3434,plain,
    ( spl0_155
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3438,plain,
    ( spl0_156
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3442,plain,
    ( spl0_157
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2194,plain,
    ( e4 = op(e2,e1)
    | e3 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1)
    | e5 = op(e2,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f3420,plain,
    ( ~ spl0_90
    | ~ spl0_3
    | ~ spl0_151
    | ~ spl0_79
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f2574,f2745,f3082,f3417,f2749,f3130]) ).

fof(f2574,plain,
    ( e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f852]) ).

fof(f852,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e4 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f682]) ).

fof(f682,axiom,
    ~ ( e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & op(e0,e0) = e3
      & e4 = op(op(op(e0,e0),e0),e0)
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax682) ).

fof(f3415,plain,
    ( ~ spl0_29
    | ~ spl0_63
    | ~ spl0_150
    | ~ spl0_114
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2672,f3017,f3243,f3412,f3013,f2862]) ).

fof(f2672,plain,
    ( e1 != op(op(e5,e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(e5,e5) ),
    inference(cnf_transformation,[],[f1088]) ).

fof(f1088,plain,
    ( e0 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e1 != op(op(e5,e5),e5)
    | e3 != op(e5,e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(e5,e5)
      & e0 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e1 = op(op(e5,e5),e5)
      & e4 = op(op(op(e5,e5),e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f3410,plain,
    ~ spl0_149,
    inference(avatar_split_clause,[],[f1654,f3407]) ).

fof(f3407,plain,
    ( spl0_149
  <=> op(e5,e0) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1654,plain,
    op(e5,e0) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f3405,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f2005,f3402]) ).

fof(f2005,plain,
    op(e4,e5) = op(e5,e4),
    inference(cnf_transformation,[],[f11]) ).

fof(f3400,plain,
    ~ spl0_147,
    inference(avatar_split_clause,[],[f1568,f3397]) ).

fof(f3397,plain,
    ( spl0_147
  <=> op(e2,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1568,plain,
    op(e2,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f3395,plain,
    ( ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2037,f2968,f3392,f3388,f3384,f3380]) ).

fof(f2037,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e5 != op(op(e4,e4),e4)
    | e3 != op(e4,e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4)
    | e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f1429]) ).

fof(f1429,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(e4,e4)
    | e5 != op(op(e4,e4),e4)
    | e1 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f351]) ).

fof(f351,axiom,
    ~ ( e5 = op(op(e4,e4),e4)
      & e2 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e0 = op(op(op(e4,e4),e4),e4)
      & e1 = op(op(op(op(e4,e4),e4),e4),e4)
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax351) ).

fof(f3378,plain,
    ( ~ spl0_140
    | ~ spl0_141
    | ~ spl0_51
    | ~ spl0_122
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2628,f3375,f3282,f2956,f3371,f3367]) ).

fof(f2628,plain,
    ( e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e0 != op(e4,e4)
    | e1 != op(op(e4,e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(cnf_transformation,[],[f919]) ).

fof(f919,plain,
    ( e0 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e2 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(e4,e4),e4),e4) ),
    inference(ennf_transformation,[],[f415]) ).

fof(f415,axiom,
    ~ ( e5 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(op(op(op(e4,e4),e4),e4),e4)
      & e0 = op(e4,e4)
      & e1 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax415) ).

fof(f3365,plain,
    spl0_139,
    inference(avatar_split_clause,[],[f2505,f3362]) ).

fof(f3362,plain,
    ( spl0_139
  <=> op(op(e1,e0),e4) = op(e1,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2505,plain,
    op(op(e1,e0),e4) = op(e1,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3360,plain,
    spl0_138,
    inference(avatar_split_clause,[],[f2316,f3357]) ).

fof(f3357,plain,
    ( spl0_138
  <=> unit = op(e4,inv(e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2316,plain,
    unit = op(e4,inv(e4)),
    inference(cnf_transformation,[],[f4]) ).

fof(f3355,plain,
    ( ~ spl0_23
    | ~ spl0_135
    | ~ spl0_134
    | ~ spl0_81
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f2138,f2841,f3091,f3337,f3341,f2837]) ).

fof(f2138,plain,
    ( e4 != op(op(e2,e2),e2)
    | e5 != op(e2,e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f922]) ).

fof(f922,plain,
    ( e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e5 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).

fof(f3354,plain,
    spl0_137,
    inference(avatar_split_clause,[],[f2494,f3351]) ).

fof(f3351,plain,
    ( spl0_137
  <=> op(op(e5,e0),e3) = op(e5,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2494,plain,
    op(op(e5,e0),e3) = op(e5,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3349,plain,
    ~ spl0_136,
    inference(avatar_split_clause,[],[f1625,f3346]) ).

fof(f3346,plain,
    ( spl0_136
  <=> op(e3,e1) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1625,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3344,plain,
    ( ~ spl0_117
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1975,f2814,f3341,f3337,f3333,f3257]) ).

fof(f1975,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e4 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f1273]) ).

fof(f1273,plain,
    ( e0 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),e2)
    | e5 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f131]) ).

fof(f131,axiom,
    ~ ( e1 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(e2,e2)
      & e5 = op(op(e2,e2),e2)
      & e0 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).

fof(f3331,plain,
    ( ~ spl0_130
    | ~ spl0_131
    | ~ spl0_12
    | ~ spl0_132
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2595,f2783,f3328,f2787,f3324,f3320]) ).

fof(f2595,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(cnf_transformation,[],[f1387]) ).

fof(f1387,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e0 != op(e1,e1)
    | e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f360]) ).

fof(f360,axiom,
    ~ ( e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e5 = op(op(e1,e1),e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax360) ).

fof(f3318,plain,
    ( ~ spl0_96
    | ~ spl0_97
    | ~ spl0_114
    | ~ spl0_28
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1776,f3315,f2858,f3243,f3163,f3159]) ).

fof(f1776,plain,
    ( e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(e5,e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(cnf_transformation,[],[f1415]) ).

fof(f1415,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(e5,e5)
    | e0 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f387]) ).

fof(f387,axiom,
    ~ ( e4 = op(op(op(e5,e5),e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e2 = op(e5,e5)
      & e3 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(e5,e5),e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax387) ).

fof(f3313,plain,
    ~ spl0_128,
    inference(avatar_split_clause,[],[f1652,f3310]) ).

fof(f3310,plain,
    ( spl0_128
  <=> op(e3,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1652,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f3308,plain,
    ( ~ spl0_126
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2080,f3305,f3301]) ).

fof(f2080,plain,
    ( e2 = inv(e1)
    | e1 != inv(e2) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f3299,plain,
    ~ spl0_125,
    inference(avatar_split_clause,[],[f1500,f3296]) ).

fof(f3296,plain,
    ( spl0_125
  <=> e0 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1500,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f10]) ).

fof(f3294,plain,
    ( ~ spl0_84
    | ~ spl0_123
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2684,f3291,f2887,f2883,f3287,f3104]) ).

fof(f2684,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f891]) ).

fof(f891,plain,
    ( e2 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f711]) ).

fof(f711,axiom,
    ~ ( e0 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax711) ).

fof(f3285,plain,
    ( ~ spl0_53
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1781,f2960,f2956,f3282,f3278,f2964]) ).

fof(f1781,plain,
    ( e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(e4,e4)
    | e2 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(cnf_transformation,[],[f914]) ).

fof(f914,plain,
    ( e2 != op(op(op(e4,e4),e4),e4)
    | e0 != op(e4,e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e1 != op(op(e4,e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f643]) ).

fof(f643,axiom,
    ~ ( e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e1 = op(op(e4,e4),e4)
      & e0 = op(e4,e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e2 = op(op(op(e4,e4),e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax643) ).

fof(f3276,plain,
    ~ spl0_120,
    inference(avatar_split_clause,[],[f1569,f3273]) ).

fof(f3273,plain,
    ( spl0_120
  <=> op(e4,e0) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1569,plain,
    op(e4,e0) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3271,plain,
    ( ~ spl0_2
    | ~ spl0_89
    | ~ spl0_4
    | ~ spl0_76
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1501,f3066,f3070,f2753,f3126,f2745]) ).

fof(f1501,plain,
    ( e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e2
    | e5 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f810]) ).

fof(f810,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e5 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f586]) ).

fof(f586,axiom,
    ~ ( e3 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e5 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e2
      & e1 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax586) ).

fof(f3270,plain,
    ~ spl0_119,
    inference(avatar_split_clause,[],[f1678,f3267]) ).

fof(f3267,plain,
    ( spl0_119
  <=> op(e5,e0) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1678,plain,
    op(e5,e0) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3265,plain,
    ~ spl0_118,
    inference(avatar_split_clause,[],[f1682,f3262]) ).

fof(f3262,plain,
    ( spl0_118
  <=> op(e5,e1) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1682,plain,
    op(e5,e1) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3260,plain,
    ( ~ spl0_17
    | ~ spl0_80
    | ~ spl0_81
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1940,f3257,f2833,f3091,f3087,f2810]) ).

fof(f1940,plain,
    ( e4 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e5 != op(e2,e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f1263]) ).

fof(f1263,plain,
    ( e5 != op(e2,e2)
    | e4 != op(op(op(e2,e2),e2),e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f148]) ).

fof(f148,axiom,
    ~ ( e0 = op(op(e2,e2),e2)
      & e3 = op(op(op(op(e2,e2),e2),e2),e2)
      & e5 = op(e2,e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e4 = op(op(op(e2,e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).

fof(f3255,plain,
    spl0_116,
    inference(avatar_split_clause,[],[f2365,f3252]) ).

fof(f3252,plain,
    ( spl0_116
  <=> op(op(e0,e1),e4) = op(e0,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2365,plain,
    op(op(e0,e1),e4) = op(e0,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3250,plain,
    ( ~ spl0_63
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f2171,f2866,f3247,f3243,f3239,f3013]) ).

fof(f2171,plain,
    ( e0 != op(e5,e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e4 != op(op(op(e5,e5),e5),e5)
    | e3 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f1127]) ).

fof(f1127,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(e5,e5)
    | e3 != op(op(e5,e5),e5)
    | e4 != op(op(op(e5,e5),e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(ennf_transformation,[],[f193]) ).

fof(f193,axiom,
    ~ ( e0 = op(e5,e5)
      & e4 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax193) ).

fof(f3237,plain,
    ( ~ spl0_90
    | ~ spl0_103
    | ~ spl0_112
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2681,f3126,f3122,f3234,f3192,f3130]) ).

fof(f2681,plain,
    ( e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f1300]) ).

fof(f1300,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f524]) ).

fof(f524,axiom,
    ~ ( e5 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e3
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e2 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax524) ).

fof(f3232,plain,
    ( ~ spl0_109
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2639,f3229,f3225,f2887,f2883,f3221]) ).

fof(f2639,plain,
    ( e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),e3),e3)
    | e4 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e5 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1038]) ).

fof(f1038,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e5 != op(e3,e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ~ ( e2 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(e3,e3),e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

fof(f3219,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f2391,f3216]) ).

fof(f3216,plain,
    ( spl0_108
  <=> op(op(e2,e5),e2) = op(e2,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2391,plain,
    op(op(e2,e5),e2) = op(e2,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3214,plain,
    ( ~ spl0_107
    | ~ spl0_91
    | ~ spl0_2
    | ~ spl0_104
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1836,f2761,f3196,f2745,f3134,f3211]) ).

fof(f1836,plain,
    ( op(e0,e0) != e4
    | e3 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f921]) ).

fof(f921,plain,
    ( op(e0,e0) != e4
    | e3 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f364]) ).

fof(f364,axiom,
    ~ ( e5 = op(op(e0,e0),e0)
      & e2 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e4
      & e3 = op(op(op(e0,e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax364) ).

fof(f3209,plain,
    ( ~ spl0_105
    | ~ spl0_84
    | ~ spl0_82
    | ~ spl0_106
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1738,f2891,f3206,f3096,f3104,f3202]) ).

fof(f1738,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e4 != op(op(op(op(e3,e3),e3),e3),e3) ),
    inference(cnf_transformation,[],[f1077]) ).

fof(f1077,plain,
    ( e4 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f666]) ).

fof(f666,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e0 = op(e3,e3)
      & e2 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e4 = op(op(op(op(e3,e3),e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax666) ).

fof(f3200,plain,
    ( ~ spl0_45
    | ~ spl0_49
    | ~ spl0_69
    | ~ spl0_68
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1722,f2943,f3035,f3039,f2947,f2931]) ).

fof(f1722,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f896]) ).

fof(f896,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1) ),
    inference(ennf_transformation,[],[f500]) ).

fof(f500,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(e1,e1)
      & e2 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax500) ).

fof(f3199,plain,
    ( ~ spl0_76
    | ~ spl0_103
    | ~ spl0_78
    | ~ spl0_79
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2678,f3196,f3082,f3078,f3192,f3070]) ).

fof(f2678,plain,
    ( e3 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f1369]) ).

fof(f1369,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(op(e0,e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f650]) ).

fof(f650,axiom,
    ~ ( op(e0,e0) = e2
      & e3 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax650) ).

fof(f3190,plain,
    ( ~ spl0_101
    | ~ spl0_10
    | ~ spl0_102
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1920,f2783,f2775,f3187,f2779,f3183]) ).

fof(f1920,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1391]) ).

fof(f1391,plain,
    ( e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f686]) ).

fof(f686,axiom,
    ~ ( e5 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e2 = op(e1,e1)
      & e0 = op(op(op(e1,e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax686) ).

fof(f3181,plain,
    ~ spl0_100,
    inference(avatar_split_clause,[],[f1592,f3178]) ).

fof(f3178,plain,
    ( spl0_100
  <=> op(e0,e2) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1592,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3176,plain,
    ( ~ spl0_85
    | ~ spl0_33
    | ~ spl0_83
    | ~ spl0_86
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1972,f3173,f3112,f3100,f2879,f3108]) ).

fof(f1972,plain,
    ( e5 != op(op(e3,e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f1042]) ).

fof(f1042,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f369]) ).

fof(f369,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e5 = op(op(e3,e3),e3)
      & e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax369) ).

fof(f3171,plain,
    ~ spl0_98,
    inference(avatar_split_clause,[],[f1715,f3168]) ).

fof(f3168,plain,
    ( spl0_98
  <=> op(e0,e0) = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1715,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f3166,plain,
    ( ~ spl0_95
    | ~ spl0_96
    | ~ spl0_26
    | ~ spl0_65
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2052,f3163,f3021,f2850,f3159,f3155]) ).

fof(f2052,plain,
    ( e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e4 != op(e5,e5)
    | e0 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    inference(cnf_transformation,[],[f881]) ).

fof(f881,plain,
    ( e2 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e0 != op(op(e5,e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(op(op(e5,e5),e5),e5),e5)
    | e4 != op(e5,e5) ),
    inference(ennf_transformation,[],[f261]) ).

fof(f261,axiom,
    ~ ( e3 = op(op(op(e5,e5),e5),e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),op(e5,e5))
      & e0 = op(op(e5,e5),e5)
      & e1 = op(op(op(op(e5,e5),e5),e5),e5)
      & e4 = op(e5,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax261) ).

fof(f3153,plain,
    ~ spl0_94,
    inference(avatar_split_clause,[],[f1648,f3150]) ).

fof(f3150,plain,
    ( spl0_94
  <=> op(e4,e1) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1648,plain,
    op(e4,e1) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3148,plain,
    ( ~ spl0_74
    | spl0_44 ),
    inference(avatar_split_clause,[],[f2087,f2926,f3061]) ).

fof(f2926,plain,
    ( spl0_44
  <=> e2 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2087,plain,
    ( e2 = inv(e3)
    | e3 != inv(e2) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f3147,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f2454,f3144]) ).

fof(f3144,plain,
    ( spl0_93
  <=> op(op(e5,e1),e2) = op(e5,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2454,plain,
    op(op(e5,e1),e2) = op(e5,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3142,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f2026,f3139]) ).

fof(f2026,plain,
    op(e3,e5) = op(e5,e3),
    inference(cnf_transformation,[],[f11]) ).

fof(f3137,plain,
    ( ~ spl0_88
    | ~ spl0_89
    | ~ spl0_2
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2280,f3134,f3130,f2745,f3126,f3122]) ).

fof(f2280,plain,
    ( e5 != op(op(e0,e0),e0)
    | op(e0,e0) != e3
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f1190]) ).

fof(f1190,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(op(e0,e0),e0),e0)
    | e5 != op(op(e0,e0),e0)
    | e4 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(ennf_transformation,[],[f604]) ).

fof(f604,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & e5 = op(op(e0,e0),e0)
      & op(e0,e0) = e3
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & e4 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax604) ).

fof(f3120,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f2033,f3117]) ).

fof(f2033,plain,
    op(e3,e4) = op(e4,e3),
    inference(cnf_transformation,[],[f11]) ).

fof(f3115,plain,
    ( ~ spl0_82
    | ~ spl0_83
    | ~ spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2575,f3112,f3108,f3104,f3100,f3096]) ).

fof(f2575,plain,
    ( e4 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3)
    | e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f1206]) ).

fof(f1206,plain,
    ( e5 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(op(op(e3,e3),e3),e3),e3)
    | e4 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f681]) ).

fof(f681,axiom,
    ~ ( e5 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e1 = op(e3,e3)
      & e0 = op(op(op(op(e3,e3),e3),e3),e3)
      & e4 = op(op(op(e3,e3),e3),e3)
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax681) ).

fof(f3094,plain,
    ( ~ spl0_80
    | ~ spl0_17
    | ~ spl0_15
    | ~ spl0_81
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1461,f2806,f3091,f2802,f2810,f3087]) ).

fof(f1461,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e5 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(cnf_transformation,[],[f735]) ).

fof(f735,plain,
    ( e5 != op(e2,e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e3 != op(op(op(op(e2,e2),e2),e2),e2) ),
    inference(ennf_transformation,[],[f496]) ).

fof(f496,axiom,
    ~ ( e5 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e3 = op(op(op(op(e2,e2),e2),e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax496) ).

fof(f3085,plain,
    ( ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2067,f3082,f3078,f3074,f3070,f3066]) ).

fof(f2067,plain,
    ( e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f791]) ).

fof(f791,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0)
    | e5 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e4 != op(op(op(op(e0,e0),e0),e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f692]) ).

fof(f692,axiom,
    ~ ( e4 = op(op(op(op(e0,e0),e0),e0),e0)
      & e1 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0)
      & op(e0,e0) = e2
      & e5 = op(op(op(op(e0,e0),e0),e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax692) ).

fof(f3064,plain,
    ( spl0_74
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2088,f2926,f3061]) ).

fof(f2088,plain,
    ( e2 != inv(e3)
    | e3 = inv(e2) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f3059,plain,
    ( ~ spl0_71
    | ~ spl0_9
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2659,f2939,f3056,f3052,f2775,f3048]) ).

fof(f2659,plain,
    ( e5 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f752]) ).

fof(f752,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,axiom,
    ~ ( e5 = op(op(op(e1,e1),e1),e1)
      & e2 = op(e1,e1)
      & e0 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e4 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).

fof(f3046,plain,
    ( ~ spl0_8
    | ~ spl0_68
    | ~ spl0_48
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2599,f3043,f3039,f2943,f3035,f2771]) ).

fof(f2599,plain,
    ( e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(op(e1,e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1285]) ).

fof(f1285,plain,
    ( e2 != op(op(op(e1,e1),e1),e1)
    | e4 != op(e1,e1)
    | e5 != op(op(op(op(e1,e1),e1),e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f380]) ).

fof(f380,axiom,
    ~ ( e4 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e2 = op(op(op(e1,e1),e1),e1)
      & e5 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax380) ).

fof(f3033,plain,
    ~ spl0_67,
    inference(avatar_split_clause,[],[f1693,f3030]) ).

fof(f3030,plain,
    ( spl0_67
  <=> op(e1,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1693,plain,
    op(e1,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f3028,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_30
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2266,f3025,f3021,f2866,f3017,f3013]) ).

fof(f2266,plain,
    ( e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e3 != op(op(op(e5,e5),e5),e5)
    | e0 != op(e5,e5)
    | e1 != op(op(e5,e5),e5)
    | e2 != op(op(op(op(e5,e5),e5),e5),e5) ),
    inference(cnf_transformation,[],[f753]) ).

fof(f753,plain,
    ( e0 != op(e5,e5)
    | e4 != op(op(op(op(e5,e5),e5),e5),op(e5,e5))
    | e2 != op(op(op(op(e5,e5),e5),e5),e5)
    | e3 != op(op(op(e5,e5),e5),e5)
    | e1 != op(op(e5,e5),e5) ),
    inference(ennf_transformation,[],[f529]) ).

fof(f529,axiom,
    ~ ( e1 = op(op(e5,e5),e5)
      & e0 = op(e5,e5)
      & e2 = op(op(op(op(e5,e5),e5),e5),e5)
      & e3 = op(op(op(e5,e5),e5),e5)
      & e4 = op(op(op(op(e5,e5),e5),e5),op(e5,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax529) ).

fof(f3011,plain,
    ~ spl0_62,
    inference(avatar_split_clause,[],[f1564,f3008]) ).

fof(f3008,plain,
    ( spl0_62
  <=> op(e2,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1564,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3006,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f2537,f3003]) ).

fof(f3003,plain,
    ( spl0_61
  <=> op(op(e5,e1),e0) = op(e5,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2537,plain,
    op(op(e5,e1),e0) = op(e5,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3001,plain,
    ~ spl0_60,
    inference(avatar_split_clause,[],[f1560,f2998]) ).

fof(f2998,plain,
    ( spl0_60
  <=> op(e3,e0) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1560,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f2996,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f2380,f2993]) ).

fof(f2993,plain,
    ( spl0_59
  <=> op(op(e3,e0),e2) = op(e3,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2380,plain,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2991,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f2489,f2988]) ).

fof(f2988,plain,
    ( spl0_58
  <=> op(op(e5,e4),e0) = op(e5,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2489,plain,
    op(op(e5,e4),e0) = op(e5,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2986,plain,
    ~ spl0_57,
    inference(avatar_split_clause,[],[f1689,f2983]) ).

fof(f2983,plain,
    ( spl0_57
  <=> op(e1,e0) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1689,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f2981,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f2381,f2978]) ).

fof(f2978,plain,
    ( spl0_56
  <=> op(op(e2,e5),e3) = op(e2,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2381,plain,
    op(op(e2,e5),e3) = op(e2,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2976,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f2520,f2973]) ).

fof(f2973,plain,
    ( spl0_55
  <=> op(op(e1,e2),e4) = op(e1,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2520,plain,
    op(op(e1,e2),e4) = op(e1,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2971,plain,
    ( ~ spl0_50
    | ~ spl0_51
    | ~ spl0_52
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2118,f2968,f2964,f2960,f2956,f2952]) ).

fof(f2118,plain,
    ( e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f1166]) ).

fof(f1166,plain,
    ( e2 != op(e4,e4)
    | e5 != op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    | e1 != op(op(e4,e4),e4)
    | e0 != op(op(op(e4,e4),e4),e4)
    | e3 != op(op(op(op(e4,e4),e4),e4),e4) ),
    inference(ennf_transformation,[],[f637]) ).

fof(f637,axiom,
    ~ ( e0 = op(op(op(e4,e4),e4),e4)
      & e3 = op(op(op(op(e4,e4),e4),e4),e4)
      & e5 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e1 = op(op(e4,e4),e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax637) ).

fof(f2950,plain,
    ( ~ spl0_45
    | ~ spl0_46
    | ~ spl0_47
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2119,f2947,f2943,f2939,f2935,f2931]) ).

fof(f2119,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1447]) ).

fof(f1447,plain,
    ( e2 != op(op(op(op(e1,e1),e1),e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e5 != op(op(op(e1,e1),e1),e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f514]) ).

fof(f514,axiom,
    ~ ( e3 = op(e1,e1)
      & e5 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e0 = op(op(e1,e1),e1)
      & e2 = op(op(op(op(e1,e1),e1),e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax514) ).

fof(f2929,plain,
    ( spl0_39
    | spl0_40
    | spl0_41
    | spl0_42
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f2302,f2926,f2922,f2918,f2914,f2910,f2906]) ).

fof(f2910,plain,
    ( spl0_40
  <=> e3 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2302,plain,
    ( e2 = inv(e3)
    | e1 = inv(e3)
    | e4 = inv(e3)
    | e0 = inv(e3)
    | e3 = inv(e3)
    | e5 = inv(e3) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f2904,plain,
    ~ spl0_38,
    inference(avatar_split_clause,[],[f1499,f2901]) ).

fof(f2901,plain,
    ( spl0_38
  <=> e3 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1499,plain,
    e3 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f2899,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f2477,f2896]) ).

fof(f2896,plain,
    ( spl0_37
  <=> op(op(e4,e1),e2) = op(e4,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2477,plain,
    op(op(e4,e1),e2) = op(e4,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2894,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2239,f2891,f2887,f2883,f2879,f2875]) ).

fof(f2239,plain,
    ( e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3))
    | e5 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f1297]) ).

fof(f1297,plain,
    ( e5 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(op(op(e3,e3),e3),e3),e3)
    | e0 != op(e3,e3)
    | e4 != op(op(e3,e3),e3)
    | e2 != op(op(op(op(e3,e3),e3),e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f343,axiom,
    ~ ( e2 = op(op(op(op(e3,e3),e3),e3),op(e3,e3))
      & e4 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e1 = op(op(op(op(e3,e3),e3),e3),e3)
      & e5 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax343) ).

fof(f2873,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f2198,f2870,f2866,f2862,f2858,f2854,f2850]) ).

fof(f2854,plain,
    ( spl0_27
  <=> e5 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2198,plain,
    ( e1 = op(e5,e5)
    | e0 = op(e5,e5)
    | e3 = op(e5,e5)
    | e2 = op(e5,e5)
    | e5 = op(e5,e5)
    | e4 = op(e5,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2848,plain,
    ( ~ spl0_22
    | ~ spl0_23
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1958,f2845,f2841,f2818,f2837,f2833]) ).

fof(f1958,plain,
    ( e0 != op(e2,e2)
    | e4 != op(op(e2,e2),e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f1173]) ).

fof(f1173,plain,
    ( e4 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e1 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f216]) ).

fof(f216,axiom,
    ~ ( e4 = op(op(e2,e2),e2)
      & e0 = op(e2,e2)
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax216) ).

fof(f2831,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f2533,f2828]) ).

fof(f2828,plain,
    ( spl0_21
  <=> op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2533,plain,
    op(op(e5,e5),e5) = op(e5,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2826,plain,
    ~ spl0_20,
    inference(avatar_split_clause,[],[f1575,f2823]) ).

fof(f2823,plain,
    ( spl0_20
  <=> op(e1,e5) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1575,plain,
    op(e1,e5) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f2821,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f2248,f2818,f2814,f2810,f2806,f2802]) ).

fof(f2248,plain,
    ( e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f827]) ).

fof(f827,plain,
    ( e1 != op(op(op(e2,e2),e2),e2)
    | e4 != op(op(op(op(e2,e2),e2),e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e5 != op(op(op(op(e2,e2),e2),e2),e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f494]) ).

fof(f494,axiom,
    ~ ( e4 = op(op(op(op(e2,e2),e2),e2),op(e2,e2))
      & e5 = op(op(op(op(e2,e2),e2),e2),e2)
      & e1 = op(op(op(e2,e2),e2),e2)
      & e0 = op(op(e2,e2),e2)
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax494) ).

fof(f2800,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f2418,f2797]) ).

fof(f2797,plain,
    ( spl0_14
  <=> op(op(e3,e0),e5) = op(e3,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2418,plain,
    op(op(e3,e0),e5) = op(e3,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2795,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f2370,f2792]) ).

fof(f2792,plain,
    ( spl0_13
  <=> op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2370,plain,
    op(op(e1,e0),e2) = op(e1,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2790,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2129,f2787,f2783,f2779,f2775,f2771]) ).

fof(f2129,plain,
    ( e5 != op(op(e1,e1),e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f1034]) ).

fof(f1034,plain,
    ( e2 != op(e1,e1)
    | e4 != op(op(op(op(e1,e1),e1),e1),e1)
    | e0 != op(op(op(e1,e1),e1),e1)
    | e5 != op(op(e1,e1),e1)
    | e3 != op(op(op(op(e1,e1),e1),e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f470]) ).

fof(f470,axiom,
    ~ ( e0 = op(op(op(e1,e1),e1),e1)
      & e4 = op(op(op(op(e1,e1),e1),e1),e1)
      & e3 = op(op(op(op(e1,e1),e1),e1),op(e1,e1))
      & e5 = op(op(e1,e1),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax470) ).

fof(f2769,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f1550,f2766]) ).

fof(f2766,plain,
    ( spl0_7
  <=> op(e4,e3) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1550,plain,
    op(e4,e3) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f2764,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f2058,f2761,f2757,f2753,f2749,f2745]) ).

fof(f2058,plain,
    ( op(e0,e0) != e4
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e5 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(op(e0,e0),e0),e0),e0) ),
    inference(cnf_transformation,[],[f1348]) ).

fof(f1348,plain,
    ( op(e0,e0) != e4
    | e5 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(op(op(e0,e0),e0),e0),op(e0,e0))
    | e1 != op(op(op(op(e0,e0),e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f442]) ).

fof(f442,axiom,
    ~ ( e5 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(op(op(e0,e0),e0),e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & e1 = op(op(op(op(e0,e0),e0),e0),e0)
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax442) ).

fof(f2743,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1772,f2740]) ).

fof(f2740,plain,
    ( spl0_1
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1772,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG034+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 14:15:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (1709)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 0.19/0.57  % (1691)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 0.19/0.58  % (1683)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.87/0.61  % (1692)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.36/0.62  % (1680)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.36/0.62  % (1684)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.36/0.63  % (1683)Instruction limit reached!
% 1.36/0.63  % (1683)------------------------------
% 1.36/0.63  % (1683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.63  % (1683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.63  % (1683)Termination reason: Unknown
% 1.36/0.63  % (1683)Termination phase: Property scanning
% 1.36/0.63  
% 1.36/0.63  % (1683)Memory used [KB]: 2430
% 1.36/0.63  % (1683)Time elapsed: 0.036 s
% 1.36/0.63  % (1683)Instructions burned: 53 (million)
% 1.36/0.63  % (1683)------------------------------
% 1.36/0.63  % (1683)------------------------------
% 1.36/0.63  % (1684)Instruction limit reached!
% 1.36/0.63  % (1684)------------------------------
% 1.36/0.63  % (1684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.63  % (1677)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.36/0.63  % (1691)Instruction limit reached!
% 1.36/0.63  % (1691)------------------------------
% 1.36/0.63  % (1691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.63  % (1691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.63  % (1691)Termination reason: Unknown
% 1.36/0.63  % (1691)Termination phase: Saturation
% 1.36/0.63  
% 1.36/0.63  % (1691)Memory used [KB]: 7931
% 1.36/0.63  % (1691)Time elapsed: 0.047 s
% 1.36/0.63  % (1691)Instructions burned: 69 (million)
% 1.36/0.63  % (1691)------------------------------
% 1.36/0.63  % (1691)------------------------------
% 1.36/0.63  % (1703)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.36/0.63  % (1684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.63  % (1684)Termination reason: Unknown
% 1.36/0.63  % (1684)Termination phase: Preprocessing 2
% 1.36/0.63  
% 1.36/0.63  % (1684)Memory used [KB]: 1918
% 1.36/0.63  % (1684)Time elapsed: 0.006 s
% 1.36/0.63  % (1684)Instructions burned: 8 (million)
% 1.36/0.63  % (1684)------------------------------
% 1.36/0.63  % (1684)------------------------------
% 1.36/0.64  % (1706)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.36/0.64  % (1681)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.36/0.64  % (1705)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.36/0.64  % (1704)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.36/0.64  % (1678)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.36/0.64  % (1701)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.36/0.65  % (1688)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.36/0.65  % (1679)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.36/0.65  % (1689)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.36/0.65  % (1690)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.36/0.65  % (1695)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.36/0.65  % (1682)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.36/0.65  % (1693)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.36/0.66  % (1694)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.36/0.66  % (1708)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.36/0.66  % (1687)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.36/0.66  % (1685)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.36/0.66  % (1686)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.65/0.66  % (1685)Instruction limit reached!
% 1.65/0.66  % (1685)------------------------------
% 1.65/0.66  % (1685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.66  % (1685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.66  % (1685)Termination reason: Unknown
% 1.65/0.66  % (1685)Termination phase: shuffling
% 1.65/0.66  
% 1.65/0.66  % (1685)Memory used [KB]: 1663
% 1.65/0.66  % (1685)Time elapsed: 0.002 s
% 1.65/0.66  % (1685)Instructions burned: 2 (million)
% 1.65/0.66  % (1685)------------------------------
% 1.65/0.66  % (1685)------------------------------
% 1.65/0.66  % (1699)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 1.65/0.66  % (1702)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 1.65/0.67  % (1698)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.65/0.68  % (1707)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.65/0.69  % (1692)Instruction limit reached!
% 1.65/0.69  % (1692)------------------------------
% 1.65/0.69  % (1692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.69  % (1692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.69  % (1692)Termination reason: Unknown
% 1.65/0.69  % (1692)Termination phase: Saturation
% 1.65/0.69  
% 1.65/0.69  % (1692)Memory used [KB]: 2686
% 1.65/0.69  % (1692)Time elapsed: 0.062 s
% 1.65/0.69  % (1692)Instructions burned: 75 (million)
% 1.65/0.69  % (1692)------------------------------
% 1.65/0.69  % (1692)------------------------------
% 1.65/0.70  % (1679)Instruction limit reached!
% 1.65/0.70  % (1679)------------------------------
% 1.65/0.70  % (1679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.70  % (1679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.70  % (1679)Termination reason: Unknown
% 1.65/0.70  % (1679)Termination phase: Property scanning
% 1.65/0.70  
% 1.65/0.70  % (1679)Memory used [KB]: 2430
% 1.65/0.70  % (1679)Time elapsed: 0.018 s
% 1.65/0.70  % (1679)Instructions burned: 39 (million)
% 1.65/0.70  % (1679)------------------------------
% 1.65/0.70  % (1679)------------------------------
% 1.65/0.70  % (1680)Instruction limit reached!
% 1.65/0.70  % (1680)------------------------------
% 1.65/0.70  % (1680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.70  % (1680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.70  % (1680)Termination reason: Unknown
% 1.65/0.70  % (1680)Termination phase: Property scanning
% 1.65/0.70  
% 1.65/0.70  % (1680)Memory used [KB]: 2942
% 1.65/0.70  % (1680)Time elapsed: 0.021 s
% 1.65/0.70  % (1680)Instructions burned: 53 (million)
% 1.65/0.70  % (1680)------------------------------
% 1.65/0.70  % (1680)------------------------------
% 1.65/0.71  % (1678)Instruction limit reached!
% 1.65/0.71  % (1678)------------------------------
% 1.65/0.71  % (1678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.71  % (1678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.71  % (1678)Termination reason: Unknown
% 1.65/0.71  % (1678)Termination phase: Property scanning
% 1.65/0.71  
% 1.65/0.71  % (1678)Memory used [KB]: 2430
% 1.65/0.71  % (1678)Time elapsed: 0.020 s
% 1.65/0.71  % (1678)Instructions burned: 52 (million)
% 1.65/0.71  % (1678)------------------------------
% 1.65/0.71  % (1678)------------------------------
% 1.65/0.71  % (1682)Instruction limit reached!
% 1.65/0.71  % (1682)------------------------------
% 1.65/0.71  % (1682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.71  % (1682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.71  % (1682)Termination reason: Unknown
% 1.65/0.71  % (1682)Termination phase: Property scanning
% 1.65/0.71  
% 1.65/0.71  % (1682)Memory used [KB]: 2430
% 1.65/0.71  % (1682)Time elapsed: 0.019 s
% 1.65/0.71  % (1682)Instructions burned: 51 (million)
% 1.65/0.71  % (1682)------------------------------
% 1.65/0.71  % (1682)------------------------------
% 1.65/0.71  % (1686)Instruction limit reached!
% 1.65/0.71  % (1686)------------------------------
% 1.65/0.71  % (1686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.71  % (1686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.71  % (1686)Termination reason: Unknown
% 1.65/0.71  % (1686)Termination phase: Property scanning
% 1.65/0.71  
% 1.65/0.71  % (1686)Memory used [KB]: 2430
% 1.65/0.71  % (1686)Time elapsed: 0.019 s
% 1.65/0.71  % (1686)Instructions burned: 51 (million)
% 1.65/0.71  % (1686)------------------------------
% 1.65/0.71  % (1686)------------------------------
% 1.65/0.71  % (1687)Instruction limit reached!
% 1.65/0.71  % (1687)------------------------------
% 1.65/0.71  % (1687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.71  % (1687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.71  % (1687)Termination reason: Unknown
% 1.65/0.71  % (1687)Termination phase: Property scanning
% 1.65/0.71  
% 1.65/0.71  % (1687)Memory used [KB]: 2430
% 1.65/0.71  % (1687)Time elapsed: 0.019 s
% 1.65/0.71  % (1687)Instructions burned: 50 (million)
% 1.65/0.71  % (1687)------------------------------
% 1.65/0.71  % (1687)------------------------------
% 1.65/0.72  % (1681)Instruction limit reached!
% 1.65/0.72  % (1681)------------------------------
% 1.65/0.72  % (1681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.72  % (1681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.72  % (1681)Termination reason: Unknown
% 1.65/0.72  % (1681)Termination phase: Property scanning
% 1.65/0.72  
% 1.65/0.72  % (1681)Memory used [KB]: 2430
% 1.65/0.72  % (1681)Time elapsed: 0.021 s
% 1.65/0.72  % (1681)Instructions burned: 52 (million)
% 1.65/0.72  % (1681)------------------------------
% 1.65/0.72  % (1681)------------------------------
% 1.65/0.73  % (1694)Instruction limit reached!
% 1.65/0.73  % (1694)------------------------------
% 1.65/0.73  % (1694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.73  % (1694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.73  % (1694)Termination reason: Unknown
% 1.65/0.73  % (1694)Termination phase: Property scanning
% 1.65/0.73  
% 1.65/0.73  % (1694)Memory used [KB]: 2430
% 1.65/0.73  % (1694)Time elapsed: 0.022 s
% 1.65/0.73  % (1694)Instructions burned: 60 (million)
% 1.65/0.73  % (1694)------------------------------
% 1.65/0.73  % (1694)------------------------------
% 1.65/0.74  % (1706)Instruction limit reached!
% 1.65/0.74  % (1706)------------------------------
% 1.65/0.74  % (1706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.74  % (1706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.74  % (1706)Termination reason: Unknown
% 1.65/0.74  % (1706)Termination phase: Saturation
% 1.65/0.74  
% 1.65/0.74  % (1706)Memory used [KB]: 7803
% 1.65/0.74  % (1706)Time elapsed: 0.026 s
% 1.65/0.74  % (1706)Instructions burned: 68 (million)
% 1.65/0.74  % (1706)------------------------------
% 1.65/0.74  % (1706)------------------------------
% 2.21/0.76  % (1710)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.21/0.76  % (1711)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.21/0.77  % (1712)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.37/0.78  % (1693)Instruction limit reached!
% 2.37/0.78  % (1693)------------------------------
% 2.37/0.78  % (1693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.78  % (1693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.78  % (1693)Termination reason: Unknown
% 2.37/0.78  % (1693)Termination phase: Saturation
% 2.37/0.78  
% 2.37/0.78  % (1693)Memory used [KB]: 8827
% 2.37/0.78  % (1693)Time elapsed: 0.263 s
% 2.37/0.78  % (1693)Instructions burned: 101 (million)
% 2.37/0.78  % (1693)------------------------------
% 2.37/0.78  % (1693)------------------------------
% 2.37/0.78  % (1688)Instruction limit reached!
% 2.37/0.78  % (1688)------------------------------
% 2.37/0.78  % (1688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.78  % (1688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.78  % (1688)Termination reason: Unknown
% 2.37/0.78  % (1688)Termination phase: Saturation
% 2.37/0.78  
% 2.37/0.78  % (1688)Memory used [KB]: 8443
% 2.37/0.78  % (1688)Time elapsed: 0.043 s
% 2.37/0.78  % (1688)Instructions burned: 101 (million)
% 2.37/0.78  % (1688)------------------------------
% 2.37/0.78  % (1688)------------------------------
% 2.37/0.78  % (1695)Instruction limit reached!
% 2.37/0.78  % (1695)------------------------------
% 2.37/0.78  % (1695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.78  % (1695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.78  % (1695)Termination reason: Unknown
% 2.37/0.78  % (1695)Termination phase: Saturation
% 2.37/0.78  
% 2.37/0.78  % (1695)Memory used [KB]: 7931
% 2.37/0.78  % (1695)Time elapsed: 0.042 s
% 2.37/0.78  % (1695)Instructions burned: 102 (million)
% 2.37/0.78  % (1695)------------------------------
% 2.37/0.78  % (1695)------------------------------
% 2.37/0.79  % (1689)Instruction limit reached!
% 2.37/0.79  % (1689)------------------------------
% 2.37/0.79  % (1689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.79  % (1689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.79  % (1689)Termination reason: Unknown
% 2.37/0.79  % (1689)Termination phase: Saturation
% 2.37/0.79  
% 2.37/0.79  % (1689)Memory used [KB]: 7931
% 2.37/0.79  % (1689)Time elapsed: 0.043 s
% 2.37/0.79  % (1689)Instructions burned: 101 (million)
% 2.37/0.79  % (1689)------------------------------
% 2.37/0.79  % (1689)------------------------------
% 2.37/0.79  % (1690)Instruction limit reached!
% 2.37/0.79  % (1690)------------------------------
% 2.37/0.79  % (1690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.79  % (1690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.79  % (1690)Termination reason: Unknown
% 2.37/0.79  % (1690)Termination phase: Saturation
% 2.37/0.79  
% 2.37/0.79  % (1690)Memory used [KB]: 7931
% 2.37/0.79  % (1690)Time elapsed: 0.041 s
% 2.37/0.79  % (1690)Instructions burned: 100 (million)
% 2.37/0.79  % (1690)------------------------------
% 2.37/0.79  % (1690)------------------------------
% 2.37/0.80  % (1698)Instruction limit reached!
% 2.37/0.80  % (1698)------------------------------
% 2.37/0.80  % (1698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.80  % (1698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.80  % (1698)Termination reason: Unknown
% 2.37/0.80  % (1698)Termination phase: Saturation
% 2.37/0.80  
% 2.37/0.80  % (1698)Memory used [KB]: 2686
% 2.37/0.80  % (1698)Time elapsed: 0.041 s
% 2.37/0.80  % (1698)Instructions burned: 101 (million)
% 2.37/0.80  % (1698)------------------------------
% 2.37/0.80  % (1698)------------------------------
% 2.37/0.81  % (1714)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.37/0.81  % (1713)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.37/0.83  % (1716)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.59/0.83  % (1715)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.59/0.84  % (1720)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.59/0.84  % (1718)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.59/0.85  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.59/0.85  % (1719)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.64/0.86  % (1721)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.64/0.86  % (1701)Instruction limit reached!
% 2.64/0.86  % (1701)------------------------------
% 2.64/0.86  % (1701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.86  % (1701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.86  % (1701)Termination reason: Unknown
% 2.64/0.86  % (1701)Termination phase: Saturation
% 2.64/0.86  
% 2.64/0.86  % (1701)Memory used [KB]: 8315
% 2.64/0.86  % (1701)Time elapsed: 0.061 s
% 2.64/0.86  % (1701)Instructions burned: 138 (million)
% 2.64/0.86  % (1701)------------------------------
% 2.64/0.86  % (1701)------------------------------
% 2.64/0.86  % (1717)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.64/0.87  % (1722)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.64/0.88  % (1724)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.64/0.88  % (1712)Instruction limit reached!
% 2.64/0.88  % (1712)------------------------------
% 2.64/0.88  % (1712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.88  % (1712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.88  % (1712)Termination reason: Unknown
% 2.64/0.88  % (1712)Termination phase: Saturation
% 2.64/0.88  
% 2.64/0.88  % (1712)Memory used [KB]: 7931
% 2.64/0.88  % (1712)Time elapsed: 0.034 s
% 2.64/0.88  % (1712)Instructions burned: 92 (million)
% 2.64/0.88  % (1712)------------------------------
% 2.64/0.88  % (1712)------------------------------
% 2.89/0.92  % (1725)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.89/0.92  % (1726)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.89/0.93  % (1699)Instruction limit reached!
% 2.89/0.93  % (1699)------------------------------
% 2.89/0.93  % (1699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.93  % (1699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.93  % (1699)Termination reason: Unknown
% 2.89/0.93  % (1699)Termination phase: Saturation
% 2.89/0.93  
% 2.89/0.93  % (1699)Memory used [KB]: 8827
% 2.89/0.93  % (1699)Time elapsed: 0.079 s
% 2.89/0.93  % (1699)Instructions burned: 176 (million)
% 2.89/0.93  % (1699)------------------------------
% 2.89/0.93  % (1699)------------------------------
% 2.89/0.94  % (1727)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 2.89/0.94  % (1707)Instruction limit reached!
% 2.89/0.94  % (1707)------------------------------
% 2.89/0.94  % (1707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.94  % (1707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.94  % (1707)Termination reason: Unknown
% 2.89/0.94  % (1707)Termination phase: Saturation
% 2.89/0.94  
% 2.89/0.94  % (1707)Memory used [KB]: 3326
% 2.89/0.94  % (1707)Time elapsed: 0.081 s
% 2.89/0.94  % (1707)Instructions burned: 177 (million)
% 2.89/0.94  % (1707)------------------------------
% 2.89/0.94  % (1707)------------------------------
% 2.89/0.95  % (1730)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 2.89/0.95  % (1717)Instruction limit reached!
% 2.89/0.95  % (1717)------------------------------
% 2.89/0.95  % (1717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.95  % (1717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.95  % (1717)Termination reason: Unknown
% 2.89/0.95  % (1717)Termination phase: Saturation
% 2.89/0.95  
% 2.89/0.95  % (1717)Memory used [KB]: 7931
% 2.89/0.95  % (1717)Time elapsed: 0.028 s
% 2.89/0.95  % (1717)Instructions burned: 69 (million)
% 2.89/0.95  % (1717)------------------------------
% 2.89/0.95  % (1717)------------------------------
% 2.89/0.96  % (1731)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.05/0.97  % (1732)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.05/0.98  % (1720)Instruction limit reached!
% 3.05/0.98  % (1720)------------------------------
% 3.05/0.98  % (1720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.98  % (1720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.98  % (1720)Termination reason: Unknown
% 3.05/0.98  % (1720)Termination phase: Saturation
% 3.05/0.98  
% 3.05/0.98  % (1720)Memory used [KB]: 7931
% 3.05/0.98  % (1720)Time elapsed: 0.036 s
% 3.05/0.98  % (1720)Instructions burned: 92 (million)
% 3.05/0.98  % (1720)------------------------------
% 3.05/0.98  % (1720)------------------------------
% 3.05/1.00  % (1734)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.05/1.01  % (1735)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.05/1.03  % (1730)Instruction limit reached!
% 3.05/1.03  % (1730)------------------------------
% 3.05/1.03  % (1730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/1.03  % (1730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/1.03  % (1730)Termination reason: Unknown
% 3.05/1.03  % (1730)Termination phase: Saturation
% 3.05/1.03  
% 3.05/1.03  % (1730)Memory used [KB]: 7803
% 3.05/1.03  % (1730)Time elapsed: 0.025 s
% 3.05/1.03  % (1730)Instructions burned: 68 (million)
% 3.05/1.03  % (1730)------------------------------
% 3.05/1.03  % (1730)------------------------------
% 3.05/1.04  TRYING [6]
% 3.33/1.07  % (1736)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.33/1.07  % (1709)Instruction limit reached!
% 3.33/1.07  % (1709)------------------------------
% 3.33/1.07  % (1709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.33/1.07  % (1709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.33/1.07  % (1709)Termination reason: Unknown
% 3.33/1.07  % (1709)Termination phase: Saturation
% 3.33/1.07  
% 3.33/1.07  % (1709)Memory used [KB]: 13816
% 3.33/1.07  % (1709)Time elapsed: 0.179 s
% 3.33/1.07  % (1709)Instructions burned: 357 (million)
% 3.33/1.07  % (1709)------------------------------
% 3.33/1.07  % (1709)------------------------------
% 3.33/1.08  % (1737)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.33/1.08  % (1711)Instruction limit reached!
% 3.33/1.08  % (1711)------------------------------
% 3.33/1.08  % (1711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.33/1.08  % (1711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.33/1.08  % (1711)Termination reason: Unknown
% 3.33/1.08  % (1711)Termination phase: Saturation
% 3.33/1.08  
% 3.33/1.08  % (1711)Memory used [KB]: 3326
% 3.33/1.08  % (1711)Time elapsed: 0.085 s
% 3.33/1.08  % (1711)Instructions burned: 212 (million)
% 3.33/1.08  % (1711)------------------------------
% 3.33/1.08  % (1711)------------------------------
% 3.53/1.08  % (1738)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 3.53/1.11  % (1739)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.56/1.16  % (1740)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.56/1.19  % (1736)Instruction limit reached!
% 5.56/1.19  % (1736)------------------------------
% 5.56/1.19  % (1736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.56/1.19  % (1736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.56/1.19  % (1736)Termination reason: Unknown
% 5.56/1.19  % (1736)Termination phase: Saturation
% 5.56/1.19  
% 5.56/1.19  % (1736)Memory used [KB]: 7931
% 5.56/1.19  % (1736)Time elapsed: 0.033 s
% 5.56/1.19  % (1736)Instructions burned: 90 (million)
% 5.56/1.19  % (1736)------------------------------
% 5.56/1.19  % (1736)------------------------------
% 5.56/1.21  % (1741)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 5.56/1.22  % (1703)Instruction limit reached!
% 5.56/1.22  % (1703)------------------------------
% 5.56/1.22  % (1703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.56/1.22  % (1703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.56/1.22  % (1703)Termination reason: Unknown
% 5.56/1.22  % (1703)Termination phase: Saturation
% 5.56/1.22  
% 5.56/1.22  % (1703)Memory used [KB]: 12537
% 5.56/1.22  % (1703)Time elapsed: 0.580 s
% 5.56/1.22  % (1703)Instructions burned: 467 (million)
% 5.56/1.22  % (1703)------------------------------
% 5.56/1.22  % (1703)------------------------------
% 5.56/1.22  % (1742)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.35/1.33  % (1743)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.85/1.34  % (1710)Instruction limit reached!
% 6.85/1.34  % (1710)------------------------------
% 6.85/1.34  % (1710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.85/1.34  % (1710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.85/1.34  % (1710)Termination reason: Unknown
% 6.85/1.34  % (1710)Termination phase: Saturation
% 6.85/1.34  
% 6.85/1.34  % (1710)Memory used [KB]: 10618
% 6.85/1.34  % (1710)Time elapsed: 0.688 s
% 6.85/1.34  % (1710)Instructions burned: 388 (million)
% 6.85/1.34  % (1710)------------------------------
% 6.85/1.34  % (1710)------------------------------
% 6.85/1.35  % (1745)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 6.85/1.36  % (1708)Instruction limit reached!
% 6.85/1.36  % (1708)------------------------------
% 6.85/1.36  % (1708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.85/1.36  % (1708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.85/1.36  % (1708)Termination reason: Unknown
% 6.85/1.36  % (1708)Termination phase: Saturation
% 6.85/1.36  
% 6.85/1.36  % (1708)Memory used [KB]: 12281
% 6.85/1.36  % (1708)Time elapsed: 0.206 s
% 6.85/1.36  % (1708)Instructions burned: 440 (million)
% 6.85/1.36  % (1708)------------------------------
% 6.85/1.36  % (1708)------------------------------
% 7.15/1.41  % (1705)Instruction limit reached!
% 7.15/1.41  % (1705)------------------------------
% 7.15/1.41  % (1705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.41  % (1705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.41  % (1705)Termination reason: Unknown
% 7.15/1.41  % (1705)Termination phase: Saturation
% 7.15/1.41  
% 7.15/1.41  % (1705)Memory used [KB]: 11129
% 7.15/1.41  % (1705)Time elapsed: 0.900 s
% 7.15/1.41  % (1705)Instructions burned: 500 (million)
% 7.15/1.41  % (1705)------------------------------
% 7.15/1.41  % (1705)------------------------------
% 7.56/1.43  % (1704)Instruction limit reached!
% 7.56/1.43  % (1704)------------------------------
% 7.56/1.43  % (1704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.43  % (1704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.43  % (1704)Termination reason: Unknown
% 7.56/1.43  % (1704)Termination phase: Saturation
% 7.56/1.43  
% 7.56/1.43  % (1704)Memory used [KB]: 13048
% 7.56/1.43  % (1704)Time elapsed: 0.229 s
% 7.56/1.43  % (1704)Instructions burned: 483 (million)
% 7.56/1.43  % (1704)------------------------------
% 7.56/1.43  % (1704)------------------------------
% 7.56/1.44  % (1702)Instruction limit reached!
% 7.56/1.44  % (1702)------------------------------
% 7.56/1.44  % (1702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.44  % (1702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.44  % (1702)Termination reason: Unknown
% 7.56/1.44  % (1702)Termination phase: Saturation
% 7.56/1.44  
% 7.56/1.44  % (1702)Memory used [KB]: 4477
% 7.56/1.44  % (1702)Time elapsed: 0.927 s
% 7.56/1.44  % (1702)Instructions burned: 499 (million)
% 7.56/1.44  % (1702)------------------------------
% 7.56/1.44  % (1702)------------------------------
% 7.77/1.49  % (1746)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 7.77/1.51  % (1747)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 8.12/1.55  % (1748)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.37/1.60  % (1746)Instruction limit reached!
% 8.37/1.60  % (1746)------------------------------
% 8.37/1.60  % (1746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.37/1.60  % (1746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.37/1.60  % (1746)Termination reason: Unknown
% 8.37/1.60  % (1746)Termination phase: Saturation
% 8.37/1.60  
% 8.37/1.60  % (1746)Memory used [KB]: 7931
% 8.37/1.60  % (1746)Time elapsed: 0.033 s
% 8.37/1.60  % (1746)Instructions burned: 91 (million)
% 8.37/1.60  % (1746)------------------------------
% 8.37/1.60  % (1746)------------------------------
% 8.37/1.63  % (1749)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 8.37/1.63  % (1750)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 10.15/1.76  % (1751)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/37001Mi)
% 10.40/1.82  % (1731)First to succeed.
% 11.07/1.88  % (1716)Instruction limit reached!
% 11.07/1.88  % (1716)------------------------------
% 11.07/1.88  % (1716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.07/1.88  % (1716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.07/1.88  % (1716)Termination reason: Unknown
% 11.07/1.88  % (1716)Termination phase: Saturation
% 11.07/1.88  
% 11.07/1.88  % (1716)Memory used [KB]: 4861
% 11.07/1.88  % (1716)Time elapsed: 1.106 s
% 11.07/1.88  % (1716)Instructions burned: 655 (million)
% 11.07/1.88  % (1716)------------------------------
% 11.07/1.88  % (1716)------------------------------
% 11.94/2.03  % (1731)Refutation found. Thanks to Tanya!
% 11.94/2.03  % SZS status Unsatisfiable for theBenchmark
% 11.94/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 12.57/2.06  % (1731)------------------------------
% 12.57/2.06  % (1731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.57/2.06  % (1731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.57/2.06  % (1731)Termination reason: Refutation
% 12.57/2.06  
% 12.57/2.06  % (1731)Memory used [KB]: 5884
% 12.57/2.06  % (1731)Time elapsed: 0.333 s
% 12.57/2.06  % (1731)Instructions burned: 730 (million)
% 12.57/2.06  % (1731)------------------------------
% 12.57/2.06  % (1731)------------------------------
% 12.57/2.06  % (1676)Success in time 1.714 s
%------------------------------------------------------------------------------