TSTP Solution File: ALG035+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG035+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 : n015.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 15:42:11 EDT 2022

% Result   : Unsatisfiable 18.44s 2.84s
% Output   : Refutation 19.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      : 1821
% Syntax   : Number of formulae    : 5047 ( 916 unt;   0 def)
%            Number of atoms       : 16233 (11472 equ)
%            Maximal formula atoms :  216 (   3 avg)
%            Number of connectives : 21360 (10174   ~;7304   |;2756   &)
%                                         (1090 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  216 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  : 1092 (1090 usr;1091 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8317,plain,
    $false,
    inference(avatar_smt_refutation,[],[f2722,f2727,f2732,f2749,f2758,f2783,f2788,f2801,f2806,f2823,f2840,f2857,f2862,f2871,f2888,f2893,f2910,f2927,f2932,f2937,f2954,f2971,f2984,f2989,f2994,f2999,f3016,f3033,f3046,f3063,f3072,f3089,f3094,f3099,f3104,f3121,f3138,f3155,f3180,f3185,f3202,f3219,f3236,f3253,f3258,f3271,f3276,f3289,f3298,f3303,f3308,f3313,f3318,f3323,f3340,f3357,f3362,f3367,f3372,f3381,f3386,f3391,f3408,f3429,f3438,f3443,f3448,f3465,f3482,f3499,f3508,f3513,f3526,f3547,f3564,f3577,f3586,f3595,f3600,f3617,f3630,f3635,f3648,f3657,f3662,f3667,f3672,f3677,f3682,f3687,f3704,f3713,f3722,f3727,f3732,f3737,f3742,f3747,f3764,f3773,f3778,f3783,f3800,f3805,f3818,f3823,f3828,f3845,f3862,f3875,f3884,f3893,f3898,f3907,f3908,f3921,f3926,f3931,f3940,f3949,f3954,f3959,f3964,f3969,f3990,f3991,f4000,f4009,f4014,f4019,f4036,f4041,f4058,f4071,f4072,f4085,f4090,f4095,f4108,f4113,f4118,f4123,f4128,f4133,f4134,f4139,f4148,f4165,f4170,f4183,f4188,f4193,f4198,f4203,f4208,f4221,f4234,f4239,f4248,f4253,f4262,f4267,f4276,f4285,f4290,f4303,f4308,f4313,f4318,f4331,f4336,f4349,f4350,f4367,f4372,f4393,f4394,f4395,f4400,f4401,f4410,f4415,f4420,f4425,f4430,f4435,f4448,f4453,f4458,f4463,f4468,f4477,f4486,f4499,f4508,f4517,f4522,f4531,f4544,f4549,f4554,f4559,f4564,f4569,f4574,f4583,f4596,f4601,f4602,f4607,f4616,f4621,f4626,f4631,f4636,f4641,f4646,f4651,f4656,f4669,f4670,f4675,f4692,f4693,f4698,f4711,f4712,f4717,f4722,f4731,f4736,f4741,f4746,f4755,f4764,f4765,f4770,f4775,f4780,f4785,f4790,f4795,f4800,f4805,f4810,f4815,f4816,f4833,f4850,f4855,f4860,f4869,f4874,f4883,f4888,f4893,f4894,f4903,f4912,f4937,f4942,f4947,f4952,f4957,f4966,f4971,f4976,f4981,f4986,f4995,f5020,f5029,f5034,f5039,f5040,f5045,f5050,f5055,f5060,f5065,f5070,f5071,f5076,f5081,f5098,f5099,f5104,f5109,f5114,f5115,f5120,f5125,f5130,f5147,f5152,f5157,f5162,f5171,f5176,f5181,f5186,f5191,f5204,f5217,f5222,f5227,f5232,f5237,f5242,f5247,f5252,f5257,f5262,f5267,f5272,f5277,f5282,f5287,f5292,f5301,f5306,f5311,f5316,f5317,f5322,f5327,f5336,f5337,f5342,f5351,f5352,f5357,f5362,f5367,f5376,f5377,f5378,f5379,f5392,f5397,f5402,f5403,f5412,f5413,f5422,f5427,f5428,f5437,f5438,f5443,f5452,f5453,f5458,f5463,f5468,f5469,f5470,f5471,f5480,f5489,f5502,f5507,f5512,f5513,f5518,f5519,f5524,f5529,f5534,f5543,f5548,f5549,f5554,f5563,f5568,f5569,f5574,f5575,f5580,f5585,f5598,f5603,f5612,f5613,f5634,f5639,f5648,f5649,f5654,f5655,f5664,f5669,f5674,f5675,f5680,f5681,f5686,f5691,f5696,f5697,f5702,f5707,f5712,f5717,f5722,f5727,f5728,f5729,f5730,f5735,f5740,f5745,f5750,f5751,f5756,f5761,f5766,f5767,f5780,f5785,f5790,f5795,f5800,f5805,f5810,f5815,f5820,f5825,f5826,f5831,f5832,f5833,f5838,f5843,f5844,f5849,f5850,f5855,f5860,f5865,f5866,f5871,f5876,f5877,f5882,f5887,f5888,f5889,f5890,f5895,f5904,f5905,f5910,f5911,f5916,f5917,f5922,f5923,f5928,f5933,f5938,f5939,f5940,f5945,f5950,f5951,f5956,f5957,f5962,f5967,f5972,f5981,f5982,f5983,f5988,f5997,f6002,f6003,f6008,f6009,f6010,f6011,f6016,f6021,f6026,f6031,f6032,f6037,f6042,f6043,f6056,f6061,f6066,f6067,f6068,f6077,f6078,f6083,f6088,f6089,f6090,f6091,f6092,f6093,f6102,f6103,f6104,f6105,f6110,f6115,f6120,f6121,f6126,f6131,f6136,f6137,f6142,f6143,f6144,f6145,f6146,f6151,f6156,f6157,f6158,f6163,f6164,f6169,f6170,f6175,f6176,f6177,f6178,f6183,f6184,f6185,f6186,f6191,f6196,f6197,f6198,f6199,f6200,f6225,f6230,f6235,f6236,f6237,f6238,f6239,f6248,f6253,f6254,f6255,f6260,f6261,f6266,f6271,f6272,f6277,f6278,f6279,f6280,f6281,f6286,f6287,f6292,f6293,f6294,f6299,f6308,f6309,f6310,f6311,f6312,f6317,f6318,f6319,f6324,f6333,f6338,f6343,f6344,f6349,f6350,f6355,f6360,f6361,f6366,f6367,f6368,f6373,f6374,f6375,f6376,f6381,f6386,f6387,f6392,f6393,f6394,f6395,f6420,f6421,f6426,f6431,f6436,f6441,f6446,f6447,f6448,f6449,f6510,f6511,f6512,f6513,f6514,f6515,f6520,f6521,f6526,f6531,f6532,f6533,f6538,f6543,f6544,f6545,f6550,f6551,f6556,f6561,f6566,f6567,f6572,f6577,f6578,f6579,f6580,f6581,f6582,f6583,f6584,f6589,f6594,f6595,f6596,f6605,f6610,f6611,f6616,f6617,f6618,f6619,f6620,f6625,f6630,f6635,f6640,f6641,f6646,f6651,f6656,f6661,f6666,f6671,f6676,f6677,f6678,f6679,f6680,f6689,f6690,f6695,f6696,f6701,f6702,f6703,f6708,f6709,f6710,f6711,f6712,f6713,f6714,f6719,f6720,f6725,f6726,f6731,f6736,f6737,f6742,f6747,f6752,f6757,f6762,f6763,f6764,f6765,f6774,f6775,f6776,f6777,f6778,f6783,f6792,f6793,f6798,f6799,f6804,f6809,f6814,f6815,f6816,f6817,f6818,f6823,f6824,f6825,f6826,f6831,f6836,f6837,f6842,f6867,f6872,f6881,f6882,f6887,f6892,f6897,f6902,f6903,f6908,f6909,f6914,f6915,f6916,f6917,f6918,f6919,f6928,f6933,f6938,f6939,f6944,f6945,f6946,f6947,f6948,f6949,f6950,f6955,f6960,f6965,f6970,f6975,f6976,f6977,f6982,f6983,f6988,f6989,f6990,f7015,f7016,f7017,f7018,f7019,f7024,f7029,f7030,f7035,f7040,f7045,f7050,f7055,f7060,f7065,f7066,f7071,f7072,f7073,f7074,f7075,f7076,f7077,f7078,f7079,f7080,f7081,f7086,f7087,f7092,f7097,f7098,f7103,f7104,f7105,f7106,f7107,f7112,f7117,f7118,f7119,f7124,f7129,f7134,f7139,f7144,f7145,f7146,f7147,f7152,f7153,f7154,f7155,f7156,f7157,f7158,f7163,f7164,f7169,f7174,f7183,f7184,f7189,f7190,f7191,f7196,f7197,f7202,f7207,f7212,f7217,f7222,f7227,f7228,f7229,f7230,f7231,f7236,f7237,f7242,f7247,f7248,f7249,f7250,f7251,f7252,f7253,f7254,f7255,f7256,f7261,f7262,f7267,f7272,f7277,f7278,f7279,f7280,f7285,f7286,f7291,f7296,f7297,f7298,f7299,f7304,f7305,f7306,f7307,f7308,f7309,f7310,f7315,f7320,f7325,f7326,f7331,f7332,f7333,f7338,f7343,f7348,f7349,f7350,f7355,f7360,f7365,f7366,f7367,f7368,f7369,f7370,f7375,f7376,f7377,f7378,f7383,f7384,f7385,f7390,f7395,f7400,f7401,f7402,f7407,f7412,f7417,f7426,f7427,f7428,f7429,f7434,f7439,f7440,f7441,f7442,f7443,f7444,f7445,f7450,f7451,f7452,f7453,f7454,f7459,f7460,f7461,f7462,f7463,f7468,f7469,f7470,f7471,f7472,f7473,f7474,f7479,f7480,f7485,f7490,f7495,f7500,f7501,f7502,f7507,f7508,f7509,f7510,f7515,f7520,f7521,f7522,f7523,f7524,f7529,f7534,f7535,f7536,f7541,f7546,f7551,f7552,f7553,f7554,f7555,f7560,f7561,f7566,f7567,f7576,f7577,f7578,f7579,f7580,f7585,f7586,f7591,f7596,f7597,f7602,f7603,f7608,f7609,f7610,f7615,f7620,f7625,f7626,f7631,f7632,f7637,f7642,f7647,f7652,f7653,f7654,f7659,f7664,f7665,f7670,f7671,f7672,f7673,f7674,f7675,f7680,f7681,f7682,f7683,f7684,f7689,f7690,f7691,f7692,f7693,f7694,f7699,f7700,f7701,f7710,f7711,f7712,f7717,f7718,f7719,f7720,f7725,f7726,f7731,f7736,f7741,f7742,f7743,f7748,f7749,f7754,f7755,f7756,f7761,f7762,f7763,f7764,f7769,f7770,f7771,f7772,f7777,f7778,f7779,f7780,f7781,f7782,f7787,f7788,f7793,f7794,f7799,f7804,f7805,f7806,f7807,f7808,f7809,f7810,f7811,f7812,f7817,f7818,f7823,f7824,f7825,f7830,f7831,f7832,f7833,f7834,f7835,f7840,f7841,f7842,f7843,f7848,f7853,f7854,f7855,f7856,f7857,f7862,f7863,f7864,f7865,f7866,f7867,f7868,f7869,f7870,f7871,f7872,f7873,f7874,f7875,f7876,f7881,f7882,f7887,f7892,f7893,f7894,f7895,f7900,f7901,f7910,f7911,f7912,f7913,f7914,f7915,f7920,f7925,f7926,f7927,f7928,f7933,f7934,f7939,f7944,f7945,f7946,f7947,f7948,f7949,f7950,f7951,f7952,f7961,f7962,f7963,f7968,f7973,f7978,f7979,f7980,f7985,f7990,f7991,f7992,f7997,f7998,f8003,f8004,f8005,f8006,f8011,f8016,f8017,f8018,f8023,f8024,f8025,f8030,f8035,f8036,f8037,f8042,f8043,f8044,f8045,f8050,f8051,f8060,f8061,f8062,f8067,f8068,f8073,f8074,f8079,f8084,f8089,f8094,f8099,f8100,f8105,f8106,f8107,f8108,f8109,f8118,f8119,f8120,f8125,f8130,f8131,f8132,f8141,f8142,f8147,f8152,f8157,f8166,f8167,f8168,f8169,f8170,f8171,f8176,f8177,f8182,f8183,f8188,f8189,f8190,f8195,f8196,f8201,f8202,f8207,f8208,f8209,f8214,f8219,f8224,f8229,f8230,f8231,f8232,f8237,f8238,f8243,f8244,f8245,f8246,f8251,f8256,f8261,f8262,f8267,f8272,f8273,f8278,f8283,f8284,f8309,f8314,f8315,f8316]) ).

fof(f8316,plain,
    ( ~ spl0_548
    | ~ spl0_62
    | ~ spl0_549
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2090,f2939,f5201,f2973,f5197]) ).

fof(f5197,plain,
    ( spl0_548
  <=> e2 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).

fof(f2973,plain,
    ( spl0_62
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f5201,plain,
    ( spl0_549
  <=> e0 = op(op(e4,e3),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).

fof(f2939,plain,
    ( spl0_54
  <=> e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2090,plain,
    ( e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e0 != op(op(e4,e3),op(e4,e3))
    | e1 != op(e4,e3)
    | e2 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f1270]) ).

fof(f1270,plain,
    ( e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f698]) ).

fof(f698,axiom,
    ~ ( e2 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e1 = op(e4,e3)
      & e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e0 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax698) ).

fof(f8315,plain,
    ( ~ spl0_454
    | spl0_453 ),
    inference(avatar_split_clause,[],[f1693,f4748,f4752]) ).

fof(f4752,plain,
    ( spl0_454
  <=> e5 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).

fof(f4748,plain,
    ( spl0_453
  <=> e2 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).

fof(f1693,plain,
    ( e2 = inv(e5)
    | e5 != inv(e2) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f1244,plain,
    ( ( e4 = inv(e5)
      | e5 != inv(e4) )
    & ( e1 = inv(e1)
      | e1 != inv(e1) )
    & ( e5 = inv(e2)
      | e2 != inv(e5) )
    & ( e3 = inv(e3)
      | e3 != inv(e3) )
    & ( e0 = inv(e4)
      | e4 != inv(e0) )
    & ( e2 != inv(e2)
      | e2 = inv(e2) )
    & ( e5 != inv(e3)
      | e3 = inv(e5) )
    & ( e1 != inv(e5)
      | e5 = inv(e1) )
    & ( e5 != inv(e5)
      | e5 = inv(e5) )
    & ( e3 = inv(e2)
      | e2 != inv(e3) )
    & ( e4 != inv(e3)
      | e3 = inv(e4) )
    & ( e1 != inv(e0)
      | e0 = inv(e1) )
    & ( e1 != inv(e3)
      | e3 = inv(e1) )
    & ( e4 != inv(e1)
      | e1 = inv(e4) )
    & ( e3 = inv(e0)
      | e0 != inv(e3) )
    & ( e1 = inv(e2)
      | e2 != inv(e1) )
    & ( e0 != inv(e4)
      | e4 = inv(e0) )
    & ( e3 != inv(e2)
      | e2 = inv(e3) )
    & ( e2 = inv(e0)
      | e0 != inv(e2) )
    & ( e5 != inv(e1)
      | e1 = inv(e5) )
    & ( e5 = inv(e0)
      | e0 != inv(e5) )
    & ( e3 != inv(e0)
      | e0 = inv(e3) )
    & ( e2 = inv(e1)
      | e1 != inv(e2) )
    & ( e4 != inv(e5)
      | e5 = inv(e4) )
    & ( e5 != inv(e0)
      | e0 = inv(e5) )
    & ( e5 = inv(e3)
      | e3 != inv(e5) )
    & ( e0 != inv(e1)
      | e1 = inv(e0) )
    & ( e5 != inv(e2)
      | e2 = inv(e5) )
    & ( e3 != inv(e4)
      | e4 = inv(e3) )
    & ( e1 != inv(e4)
      | e4 = inv(e1) )
    & ( e0 != inv(e0)
      | e0 = inv(e0) )
    & ( e1 = inv(e3)
      | e3 != inv(e1) )
    & ( e2 != inv(e4)
      | e4 = inv(e2) )
    & ( e2 = inv(e4)
      | e4 != inv(e2) )
    & ( e4 = inv(e4)
      | e4 != inv(e4) )
    & ( e0 = inv(e2)
      | e2 != inv(e0) ) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f8314,plain,
    ~ spl0_1090,
    inference(avatar_split_clause,[],[f1610,f8311]) ).

fof(f8311,plain,
    ( spl0_1090
  <=> inv(e0) = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1090])]) ).

fof(f1610,plain,
    inv(e0) != inv(e2),
    inference(cnf_transformation,[],[f8]) ).

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

fof(f8309,plain,
    ( spl0_1084
    | spl0_1085
    | spl0_1086
    | spl0_1087
    | spl0_1088
    | spl0_1089 ),
    inference(avatar_split_clause,[],[f2518,f8306,f8302,f8298,f8294,f8290,f8286]) ).

fof(f8286,plain,
    ( spl0_1084
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1084])]) ).

fof(f8290,plain,
    ( spl0_1085
  <=> e5 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1085])]) ).

fof(f8294,plain,
    ( spl0_1086
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1086])]) ).

fof(f8298,plain,
    ( spl0_1087
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1087])]) ).

fof(f8302,plain,
    ( spl0_1088
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1088])]) ).

fof(f8306,plain,
    ( spl0_1089
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1089])]) ).

fof(f2518,plain,
    ( e4 = unit
    | e1 = unit
    | e0 = unit
    | e3 = unit
    | e5 = unit
    | e2 = unit ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f8284,plain,
    ( ~ spl0_161
    | ~ spl0_98
    | ~ spl0_540
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2074,f3127,f5159,f3131,f3410]) ).

fof(f3410,plain,
    ( spl0_161
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3131,plain,
    ( spl0_98
  <=> e4 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f5159,plain,
    ( spl0_540
  <=> e2 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).

fof(f3127,plain,
    ( spl0_97
  <=> e5 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2074,plain,
    ( e5 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,e1) ),
    inference(cnf_transformation,[],[f1172]) ).

fof(f1172,plain,
    ( e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,e1)
    | e2 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f523]) ).

fof(f523,axiom,
    ~ ( e5 = op(op(e3,e1),op(e3,e1))
      & e0 = op(e3,e1)
      & e4 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e2 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax523) ).

fof(f8283,plain,
    spl0_1083,
    inference(avatar_split_clause,[],[f2322,f8280]) ).

fof(f8280,plain,
    ( spl0_1083
  <=> op(op(e4,e4),e1) = op(e4,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1083])]) ).

fof(f2322,plain,
    op(op(e4,e4),e1) = op(e4,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f8278,plain,
    spl0_1082,
    inference(avatar_split_clause,[],[f2175,f8275]) ).

fof(f8275,plain,
    ( spl0_1082
  <=> op(op(e2,e5),e2) = op(e2,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1082])]) ).

fof(f2175,plain,
    op(op(e2,e5),e2) = op(e2,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8273,plain,
    ( ~ spl0_149
    | ~ spl0_185
    | ~ spl0_620
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2082,f3350,f5556,f3515,f3354]) ).

fof(f3354,plain,
    ( spl0_149
  <=> e3 = op(e4,op(op(e4,e0),op(e4,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3515,plain,
    ( spl0_185
  <=> e1 = op(op(e4,e0),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f5556,plain,
    ( spl0_620
  <=> e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).

fof(f3350,plain,
    ( spl0_148
  <=> e5 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2082,plain,
    ( e5 != op(e4,e0)
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(op(e4,e0),op(e4,e0))
    | e3 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f1416]) ).

fof(f1416,plain,
    ( e1 != op(op(e4,e0),op(e4,e0))
    | e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e5 != op(e4,e0)
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f262,axiom,
    ~ ( e3 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e1 = op(op(e4,e0),op(e4,e0))
      & e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e5 = op(e4,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax262) ).

fof(f8272,plain,
    ~ spl0_1081,
    inference(avatar_split_clause,[],[f1907,f8269]) ).

fof(f8269,plain,
    ( spl0_1081
  <=> op(e0,e2) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1081])]) ).

fof(f1907,plain,
    op(e0,e2) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

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

fof(f8267,plain,
    spl0_1080,
    inference(avatar_split_clause,[],[f2272,f8264]) ).

fof(f8264,plain,
    ( spl0_1080
  <=> op(op(e5,e4),e5) = op(e5,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1080])]) ).

fof(f2272,plain,
    op(op(e5,e4),e5) = op(e5,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8262,plain,
    ( ~ spl0_499
    | ~ spl0_664
    | ~ spl0_64
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1651,f2977,f2981,f5777,f4963]) ).

fof(f4963,plain,
    ( spl0_499
  <=> e1 = op(op(e4,e3),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).

fof(f5777,plain,
    ( spl0_664
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).

fof(f2981,plain,
    ( spl0_64
  <=> e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2977,plain,
    ( spl0_63
  <=> e5 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1651,plain,
    ( e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,e3)
    | e1 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f954]) ).

fof(f954,plain,
    ( e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(e4,e3)
    | e1 != op(op(e4,e3),op(e4,e3))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ~ ( e2 = op(e4,e3)
      & e5 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e1 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f8261,plain,
    spl0_1079,
    inference(avatar_split_clause,[],[f2168,f8258]) ).

fof(f8258,plain,
    ( spl0_1079
  <=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1079])]) ).

fof(f2168,plain,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8256,plain,
    ~ spl0_1078,
    inference(avatar_split_clause,[],[f1935,f8253]) ).

fof(f8253,plain,
    ( spl0_1078
  <=> op(e0,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1078])]) ).

fof(f1935,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f8251,plain,
    ~ spl0_1077,
    inference(avatar_split_clause,[],[f1604,f8248]) ).

fof(f8248,plain,
    ( spl0_1077
  <=> inv(e0) = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1077])]) ).

fof(f1604,plain,
    inv(e0) != inv(e3),
    inference(cnf_transformation,[],[f8]) ).

fof(f8246,plain,
    ( ~ spl0_136
    | ~ spl0_217
    | ~ spl0_51
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f1857,f4305,f2924,f3654,f3295]) ).

fof(f3295,plain,
    ( spl0_136
  <=> e4 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3654,plain,
    ( spl0_217
  <=> e1 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f2924,plain,
    ( spl0_51
  <=> e5 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f4305,plain,
    ( spl0_359
  <=> e3 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f1857,plain,
    ( e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e4 != op(e2,e0) ),
    inference(cnf_transformation,[],[f733]) ).

fof(f733,plain,
    ( e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e4 != op(e2,e0)
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f141]) ).

fof(f141,axiom,
    ~ ( e1 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e3 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e4 = op(e2,e0)
      & e5 = op(op(e2,e0),op(e2,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

fof(f8245,plain,
    ( ~ spl0_409
    | ~ spl0_410
    | ~ spl0_604
    | ~ spl0_831 ),
    inference(avatar_split_clause,[],[f2669,f6705,f5477,f4541,f4537]) ).

fof(f4537,plain,
    ( spl0_409
  <=> e0 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f4541,plain,
    ( spl0_410
  <=> e1 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f5477,plain,
    ( spl0_604
  <=> e3 = op(op(e5,e2),op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).

fof(f6705,plain,
    ( spl0_831
  <=> e4 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).

fof(f2669,plain,
    ( e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(op(e5,e2),op(e5,e2))
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,e2) ),
    inference(cnf_transformation,[],[f948]) ).

fof(f948,plain,
    ( e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,e2)
    | e4 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f168]) ).

fof(f168,axiom,
    ~ ( e0 = op(e5,e2)
      & e4 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e3 = op(op(e5,e2),op(e5,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).

fof(f8244,plain,
    ( ~ spl0_332
    | ~ spl0_175
    | ~ spl0_637
    | ~ spl0_615 ),
    inference(avatar_split_clause,[],[f2578,f5531,f5636,f3471,f4180]) ).

fof(f4180,plain,
    ( spl0_332
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f3471,plain,
    ( spl0_175
  <=> e5 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f5636,plain,
    ( spl0_637
  <=> e4 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).

fof(f5531,plain,
    ( spl0_615
  <=> e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).

fof(f2578,plain,
    ( e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e0 != op(e3,e2) ),
    inference(cnf_transformation,[],[f814]) ).

fof(f814,plain,
    ( e0 != op(e3,e2)
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(ennf_transformation,[],[f169]) ).

fof(f169,axiom,
    ~ ( e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e4 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e0 = op(e3,e2)
      & e5 = op(op(e3,e2),op(e3,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).

fof(f8243,plain,
    ( spl0_758
    | spl0_1076
    | spl0_828
    | spl0_454
    | spl0_514
    | spl0_512 ),
    inference(avatar_split_clause,[],[f1503,f5022,f5031,f4752,f6686,f8240,f6305]) ).

fof(f6305,plain,
    ( spl0_758
  <=> e0 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).

fof(f8240,plain,
    ( spl0_1076
  <=> e2 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1076])]) ).

fof(f6686,plain,
    ( spl0_828
  <=> e1 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).

fof(f5031,plain,
    ( spl0_514
  <=> e3 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).

fof(f5022,plain,
    ( spl0_512
  <=> e4 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).

fof(f1503,plain,
    ( e4 = inv(e2)
    | e3 = inv(e2)
    | e5 = inv(e2)
    | e1 = inv(e2)
    | e2 = inv(e2)
    | e0 = inv(e2) ),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f8238,plain,
    ( ~ spl0_44
    | ~ spl0_231
    | ~ spl0_198
    | ~ spl0_424 ),
    inference(avatar_split_clause,[],[f2464,f4609,f3570,f3719,f2895]) ).

fof(f2895,plain,
    ( spl0_44
  <=> e4 = op(op(e1,e5),op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3719,plain,
    ( spl0_231
  <=> e0 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f3570,plain,
    ( spl0_198
  <=> e3 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f4609,plain,
    ( spl0_424
  <=> e2 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f2464,plain,
    ( e2 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5)
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e4 != op(op(e1,e5),op(e1,e5)) ),
    inference(cnf_transformation,[],[f825]) ).

fof(f825,plain,
    ( e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e4 != op(op(e1,e5),op(e1,e5))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,axiom,
    ~ ( e3 = op(e1,e5)
      & e2 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e0 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e4 = op(op(e1,e5),op(e1,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).

fof(f8237,plain,
    spl0_1075,
    inference(avatar_split_clause,[],[f2148,f8234]) ).

fof(f8234,plain,
    ( spl0_1075
  <=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1075])]) ).

fof(f2148,plain,
    op(op(e3,e3),e1) = op(e3,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8232,plain,
    ( ~ spl0_380
    | ~ spl0_381
    | ~ spl0_378
    | ~ spl0_642 ),
    inference(avatar_split_clause,[],[f2562,f5661,f4390,f4407,f4403]) ).

fof(f4403,plain,
    ( spl0_380
  <=> e5 = op(e3,op(op(e3,e4),op(e3,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f4407,plain,
    ( spl0_381
  <=> e2 = op(op(e3,e4),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f4390,plain,
    ( spl0_378
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f5661,plain,
    ( spl0_642
  <=> e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).

fof(f2562,plain,
    ( e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4)
    | e2 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f882]) ).

fof(f882,plain,
    ( e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4)
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f222]) ).

fof(f222,axiom,
    ~ ( e0 = op(e3,e4)
      & e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e5 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e2 = op(op(e3,e4),op(e3,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax222) ).

fof(f8231,plain,
    ( ~ spl0_570
    | ~ spl0_62
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2094,f2943,f2939,f2973,f5303]) ).

fof(f5303,plain,
    ( spl0_570
  <=> e0 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).

fof(f2943,plain,
    ( spl0_55
  <=> e2 = op(op(e4,e3),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2094,plain,
    ( e2 != op(op(e4,e3),op(e4,e3))
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(e4,e3)
    | e0 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f933]) ).

fof(f933,plain,
    ( e1 != op(e4,e3)
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f684]) ).

fof(f684,axiom,
    ~ ( e1 = op(e4,e3)
      & e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e2 = op(op(e4,e3),op(e4,e3))
      & e0 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax684) ).

fof(f8230,plain,
    ( ~ spl0_322
    | ~ spl0_338
    | ~ spl0_114
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f1785,f4214,f3199,f4210,f4136]) ).

fof(f4136,plain,
    ( spl0_322
  <=> e3 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f4210,plain,
    ( spl0_338
  <=> e0 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f3199,plain,
    ( spl0_114
  <=> e2 = op(op(e5,e1),op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f4214,plain,
    ( spl0_339
  <=> e4 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f1785,plain,
    ( e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1)
    | e3 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(cnf_transformation,[],[f823]) ).

fof(f823,plain,
    ( e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1)
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(ennf_transformation,[],[f528]) ).

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

fof(f8229,plain,
    spl0_1074,
    inference(avatar_split_clause,[],[f2301,f8226]) ).

fof(f8226,plain,
    ( spl0_1074
  <=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1074])]) ).

fof(f2301,plain,
    op(op(e2,e3),e1) = op(e2,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8224,plain,
    ~ spl0_1073,
    inference(avatar_split_clause,[],[f1887,f8221]) ).

fof(f8221,plain,
    ( spl0_1073
  <=> op(e3,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1073])]) ).

fof(f1887,plain,
    op(e3,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f8219,plain,
    ~ spl0_1072,
    inference(avatar_split_clause,[],[f1904,f8216]) ).

fof(f8216,plain,
    ( spl0_1072
  <=> op(e0,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1072])]) ).

fof(f1904,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f8214,plain,
    spl0_1071,
    inference(avatar_split_clause,[],[f2314,f8211]) ).

fof(f8211,plain,
    ( spl0_1071
  <=> op(op(e0,e4),e0) = op(e0,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1071])]) ).

fof(f2314,plain,
    op(op(e0,e4),e0) = op(e0,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8209,plain,
    ( ~ spl0_655
    | ~ spl0_658
    | ~ spl0_61
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2371,f3282,f2968,f5747,f5732]) ).

fof(f5732,plain,
    ( spl0_655
  <=> e5 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).

fof(f5747,plain,
    ( spl0_658
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).

fof(f2968,plain,
    ( spl0_61
  <=> e3 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3282,plain,
    ( spl0_133
  <=> e4 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2371,plain,
    ( e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,e0)
    | e5 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(cnf_transformation,[],[f969]) ).

fof(f969,plain,
    ( e2 != op(e1,e0)
    | e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f513]) ).

fof(f513,axiom,
    ~ ( e3 = op(op(e1,e0),op(e1,e0))
      & e2 = op(e1,e0)
      & e5 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax513) ).

fof(f8208,plain,
    ( ~ spl0_323
    | ~ spl0_324
    | ~ spl0_843
    | ~ spl0_632 ),
    inference(avatar_split_clause,[],[f1777,f5615,f6780,f4145,f4141]) ).

fof(f4141,plain,
    ( spl0_323
  <=> e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f4145,plain,
    ( spl0_324
  <=> e1 = op(e5,op(op(e5,e0),op(e5,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f6780,plain,
    ( spl0_843
  <=> e4 = op(op(e5,e0),op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).

fof(f5615,plain,
    ( spl0_632
  <=> e3 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).

fof(f1777,plain,
    ( e3 != op(e5,e0)
    | e4 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(cnf_transformation,[],[f943]) ).

fof(f943,plain,
    ( e4 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,e0) ),
    inference(ennf_transformation,[],[f252]) ).

fof(f252,axiom,
    ~ ( e1 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e4 = op(op(e5,e0),op(e5,e0))
      & e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e3 = op(e5,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax252) ).

fof(f8207,plain,
    ~ spl0_1070,
    inference(avatar_split_clause,[],[f1958,f8204]) ).

fof(f8204,plain,
    ( spl0_1070
  <=> op(e0,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1070])]) ).

fof(f1958,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f8202,plain,
    ( ~ spl0_704
    | ~ spl0_328
    | ~ spl0_818
    | ~ spl0_703 ),
    inference(avatar_split_clause,[],[f2509,f5990,f6632,f4162,f5994]) ).

fof(f5994,plain,
    ( spl0_704
  <=> e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).

fof(f4162,plain,
    ( spl0_328
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f6632,plain,
    ( spl0_818
  <=> e5 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).

fof(f5990,plain,
    ( spl0_703
  <=> e1 = op(op(e4,e2),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).

fof(f2509,plain,
    ( e1 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(e4,e2)
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f1353]) ).

fof(f1353,plain,
    ( e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,e2)
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f438]) ).

fof(f438,axiom,
    ~ ( e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e5 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e0 = op(e4,e2)
      & e1 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax438) ).

fof(f8201,plain,
    spl0_1069,
    inference(avatar_split_clause,[],[f2141,f8198]) ).

fof(f8198,plain,
    ( spl0_1069
  <=> op(op(e0,e2),e4) = op(e0,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1069])]) ).

fof(f2141,plain,
    op(op(e0,e2),e4) = op(e0,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8196,plain,
    ( ~ spl0_279
    | ~ spl0_278
    | ~ spl0_13
    | ~ spl0_451 ),
    inference(avatar_split_clause,[],[f1620,f4738,f2760,f3933,f3937]) ).

fof(f3937,plain,
    ( spl0_279
  <=> e2 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f3933,plain,
    ( spl0_278
  <=> e5 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2760,plain,
    ( spl0_13
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f4738,plain,
    ( spl0_451
  <=> e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).

fof(f1620,plain,
    ( e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,e0)
    | e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1446]) ).

fof(f1446,plain,
    ( e4 != op(e3,e0)
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(op(e3,e0),op(e3,e0))
    | e5 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f154]) ).

fof(f154,axiom,
    ~ ( e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e2 = op(op(e3,e0),op(e3,e0))
      & e5 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e4 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).

fof(f8195,plain,
    spl0_1068,
    inference(avatar_split_clause,[],[f2309,f8192]) ).

fof(f8192,plain,
    ( spl0_1068
  <=> op(op(e4,e5),e1) = op(e4,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).

fof(f2309,plain,
    op(op(e4,e5),e1) = op(e4,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8190,plain,
    ( ~ spl0_923
    | ~ spl0_585
    | ~ spl0_352
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f2513,f5385,f4273,f5381,f7239]) ).

fof(f7239,plain,
    ( spl0_923
  <=> e0 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).

fof(f5381,plain,
    ( spl0_585
  <=> e5 = op(op(e4,e1),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).

fof(f4273,plain,
    ( spl0_352
  <=> e3 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f5385,plain,
    ( spl0_586
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).

fof(f2513,plain,
    ( e2 != op(e4,e1)
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1424]) ).

fof(f1424,plain,
    ( e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(op(e4,e1),op(e4,e1))
    | e2 != op(e4,e1) ),
    inference(ennf_transformation,[],[f397]) ).

fof(f397,axiom,
    ~ ( e0 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e3 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e5 = op(op(e4,e1),op(e4,e1))
      & e2 = op(e4,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax397) ).

fof(f8189,plain,
    ( ~ spl0_170
    | ~ spl0_172
    | ~ spl0_342
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f2615,f4082,f4227,f3458,f3450]) ).

fof(f3450,plain,
    ( spl0_170
  <=> e2 = op(op(e5,e3),op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3458,plain,
    ( spl0_172
  <=> e1 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f4227,plain,
    ( spl0_342
  <=> e4 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f4082,plain,
    ( spl0_311
  <=> e0 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2615,plain,
    ( e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(e5,e3)
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(op(e5,e3),op(e5,e3)) ),
    inference(cnf_transformation,[],[f1073]) ).

fof(f1073,plain,
    ( e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(e5,e3)
    | e2 != op(op(e5,e3),op(e5,e3))
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f182]) ).

fof(f182,axiom,
    ~ ( e2 = op(op(e5,e3),op(e5,e3))
      & e0 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e4 = op(e5,e3)
      & e1 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax182) ).

fof(f8188,plain,
    spl0_1067,
    inference(avatar_split_clause,[],[f2232,f8185]) ).

fof(f8185,plain,
    ( spl0_1067
  <=> op(op(e4,e2),e2) = op(e4,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1067])]) ).

fof(f2232,plain,
    op(op(e4,e2),e2) = op(e4,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8183,plain,
    ( ~ spl0_287
    | ~ spl0_723
    | ~ spl0_722
    | ~ spl0_517 ),
    inference(avatar_split_clause,[],[f2107,f5047,f6095,f6099,f3975]) ).

fof(f3975,plain,
    ( spl0_287
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f6099,plain,
    ( spl0_723
  <=> e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).

fof(f6095,plain,
    ( spl0_722
  <=> e0 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).

fof(f5047,plain,
    ( spl0_517
  <=> e5 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).

fof(f2107,plain,
    ( e5 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f1313]) ).

fof(f1313,plain,
    ( e4 != op(e1,e2)
    | e5 != op(op(e1,e2),op(e1,e2))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(ennf_transformation,[],[f423]) ).

fof(f423,axiom,
    ~ ( e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e0 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e4 = op(e1,e2)
      & e5 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax423) ).

fof(f8182,plain,
    spl0_1066,
    inference(avatar_split_clause,[],[f2277,f8179]) ).

fof(f8179,plain,
    ( spl0_1066
  <=> op(op(e1,e3),e4) = op(e1,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1066])]) ).

fof(f2277,plain,
    op(op(e1,e3),e4) = op(e1,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8177,plain,
    ( ~ spl0_245
    | ~ spl0_690
    | ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f2342,f2707,f2711,f5919,f3785]) ).

fof(f3785,plain,
    ( spl0_245
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f5919,plain,
    ( spl0_690
  <=> e2 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).

fof(f2711,plain,
    ( spl0_2
  <=> e1 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2707,plain,
    ( spl0_1
  <=> e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2342,plain,
    ( e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(op(e0,e3),op(e0,e3))
    | e4 != op(e0,e3) ),
    inference(cnf_transformation,[],[f792]) ).

fof(f792,plain,
    ( e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(e0,e3)
    | e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(op(e0,e3),op(e0,e3)) ),
    inference(ennf_transformation,[],[f695]) ).

fof(f695,axiom,
    ~ ( e2 = op(op(e0,e3),op(e0,e3))
      & e4 = op(e0,e3)
      & e1 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax695) ).

fof(f8176,plain,
    ~ spl0_1065,
    inference(avatar_split_clause,[],[f1888,f8173]) ).

fof(f8173,plain,
    ( spl0_1065
  <=> op(e4,e1) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1065])]) ).

fof(f1888,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f8171,plain,
    ( ~ spl0_119
    | ~ spl0_424
    | ~ spl0_121
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2554,f2907,f3229,f4609,f3221]) ).

fof(f3221,plain,
    ( spl0_119
  <=> e4 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3229,plain,
    ( spl0_121
  <=> e0 = op(op(e1,e5),op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2907,plain,
    ( spl0_47
  <=> e3 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2554,plain,
    ( e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(op(e1,e5),op(e1,e5))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1027]) ).

fof(f1027,plain,
    ( e4 != op(e1,e5)
    | e0 != op(op(e1,e5),op(e1,e5))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f484]) ).

fof(f484,axiom,
    ~ ( e4 = op(e1,e5)
      & e2 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e0 = op(op(e1,e5),op(e1,e5))
      & e3 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax484) ).

fof(f8170,plain,
    ( ~ spl0_263
    | ~ spl0_108
    | ~ spl0_265
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f1564,f4097,f3872,f3173,f3864]) ).

fof(f3864,plain,
    ( spl0_263
  <=> e3 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f3173,plain,
    ( spl0_108
  <=> e1 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3872,plain,
    ( spl0_265
  <=> e0 = op(op(e5,e4),op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f4097,plain,
    ( spl0_314
  <=> e2 = op(e5,op(op(e5,e4),op(e5,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f1564,plain,
    ( e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,e4)
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f1084]) ).

fof(f1084,plain,
    ( e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(e5,e4) ),
    inference(ennf_transformation,[],[f458]) ).

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

fof(f8169,plain,
    ( ~ spl0_120
    | ~ spl0_231
    | ~ spl0_119
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f2499,f3566,f3221,f3719,f3225]) ).

fof(f3225,plain,
    ( spl0_120
  <=> e3 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3566,plain,
    ( spl0_197
  <=> e2 = op(op(e1,e5),op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f2499,plain,
    ( e2 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,e5)
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f1323]) ).

fof(f1323,plain,
    ( e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(e1,e5)
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(op(e1,e5),op(e1,e5)) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f125,axiom,
    ~ ( e0 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e2 = op(op(e1,e5),op(e1,e5))
      & e4 = op(e1,e5)
      & e3 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).

fof(f8168,plain,
    ( ~ spl0_21
    | ~ spl0_128
    | ~ spl0_20
    | ~ spl0_690 ),
    inference(avatar_split_clause,[],[f1561,f5919,f2790,f3260,f2794]) ).

fof(f2794,plain,
    ( spl0_21
  <=> e1 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f3260,plain,
    ( spl0_128
  <=> e4 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2790,plain,
    ( spl0_20
  <=> e5 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1561,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f1450]) ).

fof(f1450,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(ennf_transformation,[],[f197]) ).

fof(f197,axiom,
    ~ ( e4 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e5 = op(e0,e3)
      & e1 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e2 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax197) ).

fof(f8167,plain,
    ( ~ spl0_275
    | ~ spl0_13
    | ~ spl0_274
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f1663,f4110,f3914,f2760,f3918]) ).

fof(f3918,plain,
    ( spl0_275
  <=> e1 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f3914,plain,
    ( spl0_274
  <=> e5 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f4110,plain,
    ( spl0_317
  <=> e2 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f1663,plain,
    ( e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(op(e3,e0),op(e3,e0))
    | e4 != op(e3,e0)
    | e1 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(cnf_transformation,[],[f1240]) ).

fof(f1240,plain,
    ( e5 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e4 != op(e3,e0)
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(ennf_transformation,[],[f255]) ).

fof(f255,axiom,
    ~ ( e2 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e4 = op(e3,e0)
      & e5 = op(op(e3,e0),op(e3,e0))
      & e1 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax255) ).

fof(f8166,plain,
    ( spl0_1063
    | spl0_619
    | spl0_261
    | spl0_527
    | spl0_181
    | spl0_1064 ),
    inference(avatar_split_clause,[],[f1745,f8163,f3496,f5095,f3855,f5551,f8159]) ).

fof(f8159,plain,
    ( spl0_1063
  <=> e4 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1063])]) ).

fof(f5551,plain,
    ( spl0_619
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).

fof(f3855,plain,
    ( spl0_261
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f5095,plain,
    ( spl0_527
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).

fof(f3496,plain,
    ( spl0_181
  <=> e5 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f8163,plain,
    ( spl0_1064
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1064])]) ).

fof(f1745,plain,
    ( e2 = op(e2,e4)
    | e5 = op(e2,e4)
    | e0 = op(e2,e4)
    | e1 = op(e2,e4)
    | e3 = op(e2,e4)
    | e4 = op(e2,e4) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f8157,plain,
    ~ spl0_1062,
    inference(avatar_split_clause,[],[f2032,f8154]) ).

fof(f8154,plain,
    ( spl0_1062
  <=> op(e0,e2) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1062])]) ).

fof(f2032,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f8152,plain,
    spl0_1061,
    inference(avatar_split_clause,[],[f2264,f8149]) ).

fof(f8149,plain,
    ( spl0_1061
  <=> op(op(e4,e1),e0) = op(e4,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1061])]) ).

fof(f2264,plain,
    op(op(e4,e1),e0) = op(e4,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8147,plain,
    spl0_1060,
    inference(avatar_split_clause,[],[f2328,f8144]) ).

fof(f8144,plain,
    ( spl0_1060
  <=> op(op(e5,e2),e1) = op(e5,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1060])]) ).

fof(f2328,plain,
    op(op(e5,e2),e1) = op(e5,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8142,plain,
    ( ~ spl0_391
    | ~ spl0_480
    | ~ spl0_504
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f2400,f4356,f4988,f4876,f4455]) ).

fof(f4455,plain,
    ( spl0_391
  <=> e5 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f4876,plain,
    ( spl0_480
  <=> e4 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).

fof(f4988,plain,
    ( spl0_504
  <=> e0 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).

fof(f4356,plain,
    ( spl0_370
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f2400,plain,
    ( e2 != op(e1,e3)
    | e0 != op(op(e1,e3),op(e1,e3))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(cnf_transformation,[],[f1129]) ).

fof(f1129,plain,
    ( e2 != op(e1,e3)
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(op(e1,e3),op(e1,e3))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(ennf_transformation,[],[f586]) ).

fof(f586,axiom,
    ~ ( e4 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e2 = op(e1,e3)
      & e0 = op(op(e1,e3),op(e1,e3))
      & e5 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax586) ).

fof(f8141,plain,
    ( spl0_603
    | spl0_42
    | spl0_1058
    | spl0_1059
    | spl0_357
    | spl0_409 ),
    inference(avatar_split_clause,[],[f1729,f4537,f4296,f8138,f8134,f2885,f5473]) ).

fof(f5473,plain,
    ( spl0_603
  <=> e4 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).

fof(f2885,plain,
    ( spl0_42
  <=> e1 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f8134,plain,
    ( spl0_1058
  <=> e5 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1058])]) ).

fof(f8138,plain,
    ( spl0_1059
  <=> e2 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1059])]) ).

fof(f4296,plain,
    ( spl0_357
  <=> e3 = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f1729,plain,
    ( e0 = op(e5,e2)
    | e3 = op(e5,e2)
    | e2 = op(e5,e2)
    | e5 = op(e5,e2)
    | e1 = op(e5,e2)
    | e4 = op(e5,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8132,plain,
    ( ~ spl0_728
    | ~ spl0_183
    | ~ spl0_589
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2611,f3060,f5399,f3505,f6128]) ).

fof(f6128,plain,
    ( spl0_728
  <=> e3 = op(op(e0,e4),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).

fof(f3505,plain,
    ( spl0_183
  <=> e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f5399,plain,
    ( spl0_589
  <=> e5 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).

fof(f3060,plain,
    ( spl0_82
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2611,plain,
    ( e2 != op(e0,e4)
    | e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(op(e0,e4),op(e0,e4)) ),
    inference(cnf_transformation,[],[f839]) ).

fof(f839,plain,
    ( e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(op(e0,e4),op(e0,e4))
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(e0,e4) ),
    inference(ennf_transformation,[],[f225]) ).

fof(f225,axiom,
    ~ ( e2 = op(e0,e4)
      & e5 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e3 = op(op(e0,e4),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax225) ).

fof(f8131,plain,
    ( ~ spl0_132
    | ~ spl0_658
    | ~ spl0_708
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f1713,f5405,f6018,f5747,f3278]) ).

fof(f3278,plain,
    ( spl0_132
  <=> e5 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f6018,plain,
    ( spl0_708
  <=> e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).

fof(f5405,plain,
    ( spl0_590
  <=> e4 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).

fof(f1713,plain,
    ( e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(e1,e0)
    | e5 != op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f950]) ).

fof(f950,plain,
    ( e5 != op(op(e1,e0),op(e1,e0))
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e2 != op(e1,e0) ),
    inference(ennf_transformation,[],[f387]) ).

fof(f387,axiom,
    ~ ( e5 = op(op(e1,e0),op(e1,e0))
      & e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e4 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e2 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax387) ).

fof(f8130,plain,
    spl0_1057,
    inference(avatar_split_clause,[],[f2219,f8127]) ).

fof(f8127,plain,
    ( spl0_1057
  <=> op(op(e3,e4),e3) = op(e3,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1057])]) ).

fof(f2219,plain,
    op(op(e3,e4),e3) = op(e3,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8125,plain,
    ~ spl0_1056,
    inference(avatar_split_clause,[],[f1991,f8122]) ).

fof(f8122,plain,
    ( spl0_1056
  <=> op(e3,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1056])]) ).

fof(f1991,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f8120,plain,
    ( ~ spl0_153
    | ~ spl0_213
    | ~ spl0_268
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f2110,f3641,f3886,f3637,f3374]) ).

fof(f3374,plain,
    ( spl0_153
  <=> e1 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3637,plain,
    ( spl0_213
  <=> e2 = op(op(e0,e4),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f3886,plain,
    ( spl0_268
  <=> e5 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f3641,plain,
    ( spl0_214
  <=> e3 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f2110,plain,
    ( e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,e4) ),
    inference(cnf_transformation,[],[f1253]) ).

fof(f1253,plain,
    ( e1 != op(e0,e4)
    | e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(ennf_transformation,[],[f729]) ).

fof(f729,axiom,
    ~ ( e1 = op(e0,e4)
      & e2 = op(op(e0,e4),op(e0,e4))
      & e5 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e3 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax729) ).

fof(f8119,plain,
    ( ~ spl0_576
    | ~ spl0_322
    | ~ spl0_208
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2482,f3602,f3614,f4136,f5333]) ).

fof(f5333,plain,
    ( spl0_576
  <=> e4 = op(op(e5,e1),op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).

fof(f3614,plain,
    ( spl0_208
  <=> e2 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f3602,plain,
    ( spl0_205
  <=> e0 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f2482,plain,
    ( e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,e1)
    | e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1)) ),
    inference(cnf_transformation,[],[f1117]) ).

fof(f1117,plain,
    ( e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(e5,e1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e3 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e0 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e4 = op(op(e5,e1),op(e5,e1))
      & e2 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f8118,plain,
    ( spl0_1054
    | spl0_1055
    | spl0_485
    | spl0_302
    | spl0_144
    | spl0_418 ),
    inference(avatar_split_clause,[],[f1744,f4580,f3333,f4043,f4900,f8115,f8111]) ).

fof(f8111,plain,
    ( spl0_1054
  <=> e5 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1054])]) ).

fof(f8115,plain,
    ( spl0_1055
  <=> e3 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1055])]) ).

fof(f4900,plain,
    ( spl0_485
  <=> e0 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).

fof(f4043,plain,
    ( spl0_302
  <=> e1 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f3333,plain,
    ( spl0_144
  <=> e4 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f4580,plain,
    ( spl0_418
  <=> e2 = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f1744,plain,
    ( e2 = op(e3,e5)
    | e4 = op(e3,e5)
    | e1 = op(e3,e5)
    | e0 = op(e3,e5)
    | e3 = op(e3,e5)
    | e5 = op(e3,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8109,plain,
    ( ~ spl0_345
    | spl0_346 ),
    inference(avatar_split_clause,[],[f1674,f4245,f4241]) ).

fof(f4241,plain,
    ( spl0_345
  <=> e1 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f4245,plain,
    ( spl0_346
  <=> e5 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f1674,plain,
    ( e5 = inv(e1)
    | e1 != inv(e5) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f8108,plain,
    ( ~ spl0_570
    | ~ spl0_821
    | ~ spl0_498
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1488,f2973,f4959,f6648,f5303]) ).

fof(f6648,plain,
    ( spl0_821
  <=> e5 = op(op(e4,e3),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).

fof(f4959,plain,
    ( spl0_498
  <=> e2 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).

fof(f1488,plain,
    ( e1 != op(e4,e3)
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f768]) ).

fof(f768,plain,
    ( e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(op(e4,e3),op(e4,e3))
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(e4,e3) ),
    inference(ennf_transformation,[],[f301]) ).

fof(f301,axiom,
    ~ ( e2 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e1 = op(e4,e3)
      & e5 = op(op(e4,e3),op(e4,e3))
      & e0 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax301) ).

fof(f8107,plain,
    ( ~ spl0_80
    | ~ spl0_594
    | ~ spl0_79
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1804,f3501,f3048,f5424,f3052]) ).

fof(f3052,plain,
    ( spl0_80
  <=> e5 = op(op(e0,e4),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f5424,plain,
    ( spl0_594
  <=> e2 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).

fof(f3048,plain,
    ( spl0_79
  <=> e1 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f3501,plain,
    ( spl0_182
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1804,plain,
    ( e3 != op(e0,e4)
    | e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e5 != op(op(e0,e4),op(e0,e4)) ),
    inference(cnf_transformation,[],[f860]) ).

fof(f860,plain,
    ( e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,e4)
    | e5 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(ennf_transformation,[],[f333]) ).

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

fof(f8106,plain,
    ( ~ spl0_407
    | ~ spl0_286
    | ~ spl0_679
    | ~ spl0_723 ),
    inference(avatar_split_clause,[],[f1539,f6099,f5857,f3971,f4528]) ).

fof(f4528,plain,
    ( spl0_407
  <=> e5 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f3971,plain,
    ( spl0_286
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f5857,plain,
    ( spl0_679
  <=> e4 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).

fof(f1539,plain,
    ( e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,e2)
    | e5 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f773]) ).

fof(f773,plain,
    ( e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(e1,e2)
    | e4 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f439]) ).

fof(f439,axiom,
    ~ ( e0 = op(e1,e2)
      & e5 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e4 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax439) ).

fof(f8105,plain,
    ~ spl0_1053,
    inference(avatar_split_clause,[],[f1974,f8102]) ).

fof(f8102,plain,
    ( spl0_1053
  <=> op(e4,e0) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1053])]) ).

fof(f1974,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f8100,plain,
    ( ~ spl0_635
    | ~ spl0_752
    | ~ spl0_116
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2472,f3204,f3208,f6268,f5627]) ).

fof(f5627,plain,
    ( spl0_635
  <=> e1 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).

fof(f6268,plain,
    ( spl0_752
  <=> e4 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).

fof(f3208,plain,
    ( spl0_116
  <=> e3 = op(op(e5,e0),op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3204,plain,
    ( spl0_115
  <=> e2 = op(e5,op(op(e5,e0),op(e5,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2472,plain,
    ( e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e3 != op(op(e5,e0),op(e5,e0))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,e0) ),
    inference(cnf_transformation,[],[f854]) ).

fof(f854,plain,
    ( e3 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,e0) ),
    inference(ennf_transformation,[],[f498]) ).

fof(f498,axiom,
    ~ ( e1 = op(e5,e0)
      & e2 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(op(e5,e0),op(e5,e0))
      & e4 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax498) ).

fof(f8099,plain,
    ~ spl0_1052,
    inference(avatar_split_clause,[],[f1985,f8096]) ).

fof(f8096,plain,
    ( spl0_1052
  <=> op(e4,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1052])]) ).

fof(f1985,plain,
    op(e4,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f8094,plain,
    ~ spl0_1051,
    inference(avatar_split_clause,[],[f1963,f8091]) ).

fof(f8091,plain,
    ( spl0_1051
  <=> op(e0,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1051])]) ).

fof(f1963,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f8089,plain,
    ~ spl0_1050,
    inference(avatar_split_clause,[],[f1936,f8086]) ).

fof(f8086,plain,
    ( spl0_1050
  <=> op(e0,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1050])]) ).

fof(f1936,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f8084,plain,
    ~ spl0_1049,
    inference(avatar_split_clause,[],[f1941,f8081]) ).

fof(f8081,plain,
    ( spl0_1049
  <=> op(e2,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1049])]) ).

fof(f1941,plain,
    op(e2,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f8079,plain,
    ~ spl0_1048,
    inference(avatar_split_clause,[],[f2045,f8076]) ).

fof(f8076,plain,
    ( spl0_1048
  <=> op(e3,e0) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1048])]) ).

fof(f2045,plain,
    op(e3,e0) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f8074,plain,
    ( ~ spl0_403
    | ~ spl0_404
    | ~ spl0_267
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f1465,f4623,f3881,f4514,f4510]) ).

fof(f4510,plain,
    ( spl0_403
  <=> e3 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f4514,plain,
    ( spl0_404
  <=> e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f3881,plain,
    ( spl0_267
  <=> e2 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f4623,plain,
    ( spl0_427
  <=> e4 = op(op(e0,e5),op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f1465,plain,
    ( e4 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(e0,e5) ),
    inference(cnf_transformation,[],[f849]) ).

fof(f849,plain,
    ( e3 != op(e0,e5)
    | e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(op(e0,e5),op(e0,e5))
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(ennf_transformation,[],[f237]) ).

fof(f237,axiom,
    ~ ( e3 = op(e0,e5)
      & e2 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e4 = op(op(e0,e5),op(e0,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax237) ).

fof(f8073,plain,
    spl0_1047,
    inference(avatar_split_clause,[],[f2200,f8070]) ).

fof(f8070,plain,
    ( spl0_1047
  <=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1047])]) ).

fof(f2200,plain,
    op(op(e3,e2),e2) = op(e3,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8068,plain,
    ( ~ spl0_632
    | ~ spl0_324
    | ~ spl0_596
    | ~ spl0_752 ),
    inference(avatar_split_clause,[],[f1800,f6268,f5434,f4145,f5615]) ).

fof(f5434,plain,
    ( spl0_596
  <=> e2 = op(op(e5,e0),op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).

fof(f1800,plain,
    ( e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e3 != op(e5,e0) ),
    inference(cnf_transformation,[],[f1377]) ).

fof(f1377,plain,
    ( e3 != op(e5,e0)
    | e2 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(ennf_transformation,[],[f494]) ).

fof(f494,axiom,
    ~ ( e3 = op(e5,e0)
      & e1 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e4 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e2 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax494) ).

fof(f8067,plain,
    spl0_1046,
    inference(avatar_split_clause,[],[f2528,f8064]) ).

fof(f8064,plain,
    ( spl0_1046
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1046])]) ).

fof(f2528,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f8062,plain,
    ( ~ spl0_357
    | ~ spl0_40
    | ~ spl0_410
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1531,f2873,f4541,f2877,f4296]) ).

fof(f2877,plain,
    ( spl0_40
  <=> e4 = op(op(e5,e2),op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2873,plain,
    ( spl0_39
  <=> e0 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1531,plain,
    ( e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(op(e5,e2),op(e5,e2))
    | e3 != op(e5,e2) ),
    inference(cnf_transformation,[],[f1277]) ).

fof(f1277,plain,
    ( e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,e2)
    | e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f156,axiom,
    ~ ( e3 = op(e5,e2)
      & e0 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e4 = op(op(e5,e2),op(e5,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).

fof(f8061,plain,
    ( ~ spl0_22
    | ~ spl0_130
    | ~ spl0_20
    | ~ spl0_617 ),
    inference(avatar_split_clause,[],[f1793,f5540,f2790,f3268,f2798]) ).

fof(f2798,plain,
    ( spl0_22
  <=> e2 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f3268,plain,
    ( spl0_130
  <=> e1 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f5540,plain,
    ( spl0_617
  <=> e4 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).

fof(f1793,plain,
    ( e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(e0,e3)
    | e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(cnf_transformation,[],[f1161]) ).

fof(f1161,plain,
    ( e5 != op(e0,e3)
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f581]) ).

fof(f581,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e5 = op(e0,e3)
      & e1 = op(op(e0,e3),op(e0,e3))
      & e2 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax581) ).

fof(f8060,plain,
    ( spl0_1044
    | spl0_658
    | spl0_60
    | spl0_1045
    | spl0_253
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1747,f3286,f3820,f8057,f2964,f5747,f8053]) ).

fof(f8053,plain,
    ( spl0_1044
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1044])]) ).

fof(f2964,plain,
    ( spl0_60
  <=> e4 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f8057,plain,
    ( spl0_1045
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1045])]) ).

fof(f3820,plain,
    ( spl0_253
  <=> e5 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f3286,plain,
    ( spl0_134
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1747,plain,
    ( e3 = op(e1,e0)
    | e5 = op(e1,e0)
    | e1 = op(e1,e0)
    | e4 = op(e1,e0)
    | e2 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f8051,plain,
    ( ~ spl0_260
    | ~ spl0_526
    | ~ spl0_181
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2350,f3847,f3496,f5091,f3851]) ).

fof(f3851,plain,
    ( spl0_260
  <=> e0 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f5091,plain,
    ( spl0_526
  <=> e1 = op(op(e2,e4),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).

fof(f3847,plain,
    ( spl0_259
  <=> e3 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f2350,plain,
    ( e3 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(e2,e4)
    | e1 != op(op(e2,e4),op(e2,e4))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ( e1 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,e4)
    | e3 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,axiom,
    ~ ( e5 = op(e2,e4)
      & e0 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e3 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e1 = op(op(e2,e4),op(e2,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).

fof(f8050,plain,
    ~ spl0_1043,
    inference(avatar_split_clause,[],[f1971,f8047]) ).

fof(f8047,plain,
    ( spl0_1043
  <=> op(e2,e0) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1043])]) ).

fof(f1971,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f8045,plain,
    ( ~ spl0_421
    | ~ spl0_643
    | ~ spl0_687
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f2330,f3757,f5901,f5666,f4593]) ).

fof(f4593,plain,
    ( spl0_421
  <=> e1 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f5666,plain,
    ( spl0_643
  <=> e3 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).

fof(f5901,plain,
    ( spl0_687
  <=> e4 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).

fof(f3757,plain,
    ( spl0_239
  <=> e5 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f2330,plain,
    ( e5 != op(e0,e2)
    | e4 != op(op(e0,e2),op(e0,e2))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(cnf_transformation,[],[f1226]) ).

fof(f1226,plain,
    ( e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,e2) ),
    inference(ennf_transformation,[],[f167]) ).

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

fof(f8044,plain,
    ( ~ spl0_459
    | ~ spl0_15
    | ~ spl0_211
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f2332,f3937,f3627,f2768,f4777]) ).

fof(f4777,plain,
    ( spl0_459
  <=> e4 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).

fof(f2768,plain,
    ( spl0_15
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f3627,plain,
    ( spl0_211
  <=> e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f2332,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,e0)
    | e4 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(cnf_transformation,[],[f760]) ).

fof(f760,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,e0) ),
    inference(ennf_transformation,[],[f630]) ).

fof(f630,axiom,
    ~ ( e4 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e2 = op(op(e3,e0),op(e3,e0))
      & e1 = op(e3,e0)
      & e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax630) ).

fof(f8043,plain,
    ( ~ spl0_348
    | ~ spl0_387
    | ~ spl0_388
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f2066,f5348,f4441,f4437,f4255]) ).

fof(f4255,plain,
    ( spl0_348
  <=> e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f4437,plain,
    ( spl0_387
  <=> e0 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f4441,plain,
    ( spl0_388
  <=> e3 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f5348,plain,
    ( spl0_579
  <=> e2 = op(op(e4,e5),op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).

fof(f2066,plain,
    ( e2 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(e4,e5)
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f1178]) ).

fof(f1178,plain,
    ( e2 != op(op(e4,e5),op(e4,e5))
    | e0 != op(e4,e5)
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(ennf_transformation,[],[f240]) ).

fof(f240,axiom,
    ~ ( e2 = op(op(e4,e5),op(e4,e5))
      & e3 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e0 = op(e4,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax240) ).

fof(f8042,plain,
    ~ spl0_1042,
    inference(avatar_split_clause,[],[f1870,f8039]) ).

fof(f8039,plain,
    ( spl0_1042
  <=> op(e0,e0) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1042])]) ).

fof(f1870,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f8037,plain,
    ( ~ spl0_193
    | ~ spl0_33
    | ~ spl0_745
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2646,f3802,f6227,f2846,f3549]) ).

fof(f3549,plain,
    ( spl0_193
  <=> e3 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f2846,plain,
    ( spl0_33
  <=> e1 = op(op(e2,e5),op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f6227,plain,
    ( spl0_745
  <=> e4 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).

fof(f3802,plain,
    ( spl0_249
  <=> e0 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2646,plain,
    ( e0 != op(e2,e5)
    | e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f1393]) ).

fof(f1393,plain,
    ( e1 != op(op(e2,e5),op(e2,e5))
    | e0 != op(e2,e5)
    | e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(ennf_transformation,[],[f486]) ).

fof(f486,axiom,
    ~ ( e3 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e0 = op(e2,e5)
      & e4 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e1 = op(op(e2,e5),op(e2,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax486) ).

fof(f8036,plain,
    ( ~ spl0_260
    | ~ spl0_619
    | ~ spl0_526
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f1560,f5083,f5091,f5551,f3851]) ).

fof(f5083,plain,
    ( spl0_524
  <=> e5 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).

fof(f1560,plain,
    ( e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e1 != op(op(e2,e4),op(e2,e4))
    | e3 != op(e2,e4)
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f756]) ).

fof(f756,plain,
    ( e1 != op(op(e2,e4),op(e2,e4))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(e2,e4)
    | e5 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,axiom,
    ~ ( e3 = op(e2,e4)
      & e5 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e1 = op(op(e2,e4),op(e2,e4))
      & e0 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

fof(f8035,plain,
    ~ spl0_1041,
    inference(avatar_split_clause,[],[f1897,f8032]) ).

fof(f8032,plain,
    ( spl0_1041
  <=> op(e3,e3) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1041])]) ).

fof(f1897,plain,
    op(e3,e3) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f8030,plain,
    spl0_1040,
    inference(avatar_split_clause,[],[f2120,f8027]) ).

fof(f8027,plain,
    ( spl0_1040
  <=> op(op(e0,e4),e2) = op(e0,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1040])]) ).

fof(f2120,plain,
    op(op(e0,e4),e2) = op(e0,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f8025,plain,
    ( ~ spl0_824
    | ~ spl0_94
    | ~ spl0_383
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2592,f4060,f4417,f3114,f6663]) ).

fof(f6663,plain,
    ( spl0_824
  <=> e1 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).

fof(f3114,plain,
    ( spl0_94
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f4417,plain,
    ( spl0_383
  <=> e5 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f4060,plain,
    ( spl0_306
  <=> e0 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f2592,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(e2,e3)
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f1367]) ).

fof(f1367,plain,
    ( e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,e3),op(e2,e3))
    | e4 != op(e2,e3)
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(ennf_transformation,[],[f202]) ).

fof(f202,axiom,
    ~ ( e1 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e5 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e0 = op(op(e2,e3),op(e2,e3))
      & e4 = op(e2,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax202) ).

fof(f8024,plain,
    ( ~ spl0_182
    | ~ spl0_269
    | ~ spl0_594
    | ~ spl0_589 ),
    inference(avatar_split_clause,[],[f2092,f5399,f5424,f3890,f3501]) ).

fof(f3890,plain,
    ( spl0_269
  <=> e1 = op(op(e0,e4),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f2092,plain,
    ( e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e3 != op(e0,e4) ),
    inference(cnf_transformation,[],[f1124]) ).

fof(f1124,plain,
    ( e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e3 != op(e0,e4)
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f347]) ).

fof(f347,axiom,
    ~ ( e1 = op(op(e0,e4),op(e0,e4))
      & e3 = op(e0,e4)
      & e2 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e5 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax347) ).

fof(f8023,plain,
    ~ spl0_1039,
    inference(avatar_split_clause,[],[f2455,f8020]) ).

fof(f8020,plain,
    ( spl0_1039
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1039])]) ).

fof(f2455,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f10]) ).

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

fof(f8018,plain,
    ( ~ spl0_161
    | ~ spl0_436
    | ~ spl0_97
    | ~ spl0_605 ),
    inference(avatar_split_clause,[],[f2569,f5482,f3127,f4666,f3410]) ).

fof(f4666,plain,
    ( spl0_436
  <=> e4 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).

fof(f5482,plain,
    ( spl0_605
  <=> e2 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).

fof(f2569,plain,
    ( e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(e3,e1) ),
    inference(cnf_transformation,[],[f1356]) ).

fof(f1356,plain,
    ( e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(e3,e1)
    | e5 != op(op(e3,e1),op(e3,e1)) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f289,axiom,
    ~ ( e0 = op(e3,e1)
      & e5 = op(op(e3,e1),op(e3,e1))
      & e2 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e4 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax289) ).

fof(f8017,plain,
    ( ~ spl0_701
    | ~ spl0_116
    | ~ spl0_635
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f1702,f4141,f5627,f3208,f5978]) ).

fof(f5978,plain,
    ( spl0_701
  <=> e4 = op(e5,op(op(e5,e0),op(e5,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).

fof(f1702,plain,
    ( e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,e0)
    | e3 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(cnf_transformation,[],[f1355]) ).

fof(f1355,plain,
    ( e3 != op(op(e5,e0),op(e5,e0))
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(e5,e0) ),
    inference(ennf_transformation,[],[f264]) ).

fof(f264,axiom,
    ~ ( e4 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(op(e5,e0),op(e5,e0))
      & e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e1 = op(e5,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax264) ).

fof(f8016,plain,
    ~ spl0_1038,
    inference(avatar_split_clause,[],[f2010,f8013]) ).

fof(f8013,plain,
    ( spl0_1038
  <=> op(e1,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1038])]) ).

fof(f2010,plain,
    op(e1,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f8011,plain,
    ~ spl0_1037,
    inference(avatar_split_clause,[],[f1598,f8008]) ).

fof(f8008,plain,
    ( spl0_1037
  <=> inv(e0) = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1037])]) ).

fof(f1598,plain,
    inv(e0) != inv(e1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8006,plain,
    ( ~ spl0_472
    | ~ spl0_325
    | ~ spl0_326
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f2484,f3830,f4154,f4150,f4839]) ).

fof(f4839,plain,
    ( spl0_472
  <=> e5 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).

fof(f4150,plain,
    ( spl0_325
  <=> e1 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f4154,plain,
    ( spl0_326
  <=> e3 = op(op(e4,e2),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f3830,plain,
    ( spl0_255
  <=> e0 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f2484,plain,
    ( e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e5 != op(e4,e2) ),
    inference(cnf_transformation,[],[f1052]) ).

fof(f1052,plain,
    ( e3 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,e2)
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e1 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(e4,e2)
      & e3 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f8005,plain,
    ( ~ spl0_339
    | ~ spl0_340
    | ~ spl0_477
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f2097,f5329,f4862,f4218,f4214]) ).

fof(f4218,plain,
    ( spl0_340
  <=> e2 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f4862,plain,
    ( spl0_477
  <=> e0 = op(op(e5,e1),op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).

fof(f5329,plain,
    ( spl0_575
  <=> e3 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).

fof(f2097,plain,
    ( e3 != op(e5,e1)
    | e0 != op(op(e5,e1),op(e5,e1))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(cnf_transformation,[],[f843]) ).

fof(f843,plain,
    ( e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(e5,e1)
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(op(e5,e1),op(e5,e1)) ),
    inference(ennf_transformation,[],[f524]) ).

fof(f524,axiom,
    ~ ( e2 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e4 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e0 = op(op(e5,e1),op(e5,e1))
      & e3 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax524) ).

fof(f8004,plain,
    ( ~ spl0_539
    | ~ spl0_32
    | ~ spl0_666
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2507,f2850,f5787,f2842,f5154]) ).

fof(f5154,plain,
    ( spl0_539
  <=> e0 = op(op(e2,e5),op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).

fof(f2842,plain,
    ( spl0_32
  <=> e3 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f5787,plain,
    ( spl0_666
  <=> e1 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).

fof(f2850,plain,
    ( spl0_34
  <=> e4 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2507,plain,
    ( e4 != op(e2,e5)
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5)) ),
    inference(cnf_transformation,[],[f974]) ).

fof(f974,plain,
    ( e4 != op(e2,e5)
    | e0 != op(op(e2,e5),op(e2,e5))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(ennf_transformation,[],[f244]) ).

fof(f244,axiom,
    ~ ( e0 = op(op(e2,e5),op(e2,e5))
      & e3 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e4 = op(e2,e5)
      & e1 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax244) ).

fof(f8003,plain,
    spl0_1036,
    inference(avatar_split_clause,[],[f2145,f8000]) ).

fof(f8000,plain,
    ( spl0_1036
  <=> op(op(e0,e5),e0) = op(e0,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1036])]) ).

fof(f2145,plain,
    op(op(e0,e5),e0) = op(e0,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7998,plain,
    ( ~ spl0_440
    | ~ spl0_441
    | ~ spl0_75
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2356,f3242,f3030,f4689,f4685]) ).

fof(f4685,plain,
    ( spl0_440
  <=> e5 = op(op(e1,e4),op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).

fof(f4689,plain,
    ( spl0_441
  <=> e2 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).

fof(f3030,plain,
    ( spl0_75
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3242,plain,
    ( spl0_124
  <=> e3 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2356,plain,
    ( e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(e1,e4)
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f1310]) ).

fof(f1310,plain,
    ( e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,e4),op(e1,e4))
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(e1,e4) ),
    inference(ennf_transformation,[],[f337]) ).

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

fof(f7997,plain,
    spl0_1035,
    inference(avatar_split_clause,[],[f2196,f7994]) ).

fof(f7994,plain,
    ( spl0_1035
  <=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1035])]) ).

fof(f2196,plain,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7992,plain,
    ( ~ spl0_360
    | ~ spl0_16
    | ~ spl0_451
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2632,f3933,f4738,f2772,f4310]) ).

fof(f4310,plain,
    ( spl0_360
  <=> e4 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f2772,plain,
    ( spl0_16
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2632,plain,
    ( e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(e3,e0)
    | e4 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f838]) ).

fof(f838,plain,
    ( e2 != op(e3,e0)
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(op(e3,e0),op(e3,e0))
    | e5 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f151]) ).

fof(f151,axiom,
    ~ ( e4 = op(op(e3,e0),op(e3,e0))
      & e5 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e2 = op(e3,e0)
      & e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).

fof(f7991,plain,
    ( ~ spl0_250
    | ~ spl0_141
    | ~ spl0_280
    | ~ spl0_516 ),
    inference(avatar_split_clause,[],[f2427,f5042,f3942,f3320,f3807]) ).

fof(f3807,plain,
    ( spl0_250
  <=> e5 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f3320,plain,
    ( spl0_141
  <=> e3 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3942,plain,
    ( spl0_280
  <=> e4 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f5042,plain,
    ( spl0_516
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).

fof(f2427,plain,
    ( e0 != op(e2,e1)
    | e4 != op(op(e2,e1),op(e2,e1))
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(cnf_transformation,[],[f1188]) ).

fof(f1188,plain,
    ( e0 != op(e2,e1)
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(op(e2,e1),op(e2,e1))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f415]) ).

fof(f415,axiom,
    ~ ( e0 = op(e2,e1)
      & e3 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e4 = op(op(e2,e1),op(e2,e1))
      & e5 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax415) ).

fof(f7990,plain,
    ~ spl0_1034,
    inference(avatar_split_clause,[],[f1890,f7987]) ).

fof(f7987,plain,
    ( spl0_1034
  <=> op(e3,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1034])]) ).

fof(f1890,plain,
    op(e3,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7985,plain,
    spl0_1033,
    inference(avatar_split_clause,[],[f2146,f7982]) ).

fof(f7982,plain,
    ( spl0_1033
  <=> op(op(e4,e2),e0) = op(e4,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1033])]) ).

fof(f2146,plain,
    op(op(e4,e2),e0) = op(e4,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7980,plain,
    ( ~ spl0_88
    | ~ spl0_406
    | ~ spl0_551
    | ~ spl0_552 ),
    inference(avatar_split_clause,[],[f1565,f5214,f5210,f4524,f3086]) ).

fof(f3086,plain,
    ( spl0_88
  <=> e5 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f4524,plain,
    ( spl0_406
  <=> e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f5210,plain,
    ( spl0_551
  <=> e0 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).

fof(f5214,plain,
    ( spl0_552
  <=> e3 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).

fof(f1565,plain,
    ( e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(op(e1,e2),op(e1,e2))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(e1,e2) ),
    inference(cnf_transformation,[],[f870]) ).

fof(f870,plain,
    ( e0 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(e1,e2) ),
    inference(ennf_transformation,[],[f556]) ).

fof(f556,axiom,
    ~ ( e5 = op(e1,e2)
      & e3 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e0 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax556) ).

fof(f7979,plain,
    ( ~ spl0_587
    | ~ spl0_783
    | ~ spl0_351
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f2584,f5385,f4269,f6443,f5389]) ).

fof(f5389,plain,
    ( spl0_587
  <=> e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).

fof(f6443,plain,
    ( spl0_783
  <=> e3 = op(op(e4,e1),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).

fof(f4269,plain,
    ( spl0_351
  <=> e5 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f2584,plain,
    ( e2 != op(e4,e1)
    | e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(op(e4,e1),op(e4,e1))
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(cnf_transformation,[],[f906]) ).

fof(f906,plain,
    ( e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(e4,e1)
    | e3 != op(op(e4,e1),op(e4,e1))
    | e5 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ~ ( e3 = op(op(e4,e1),op(e4,e1))
      & e5 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e2 = op(e4,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f7978,plain,
    ~ spl0_1032,
    inference(avatar_split_clause,[],[f2000,f7975]) ).

fof(f7975,plain,
    ( spl0_1032
  <=> op(e0,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1032])]) ).

fof(f2000,plain,
    op(e0,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7973,plain,
    spl0_1031,
    inference(avatar_split_clause,[],[f2312,f7970]) ).

fof(f7970,plain,
    ( spl0_1031
  <=> op(op(e3,e4),e2) = op(e3,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1031])]) ).

fof(f2312,plain,
    op(op(e3,e4),e2) = op(e3,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7968,plain,
    spl0_1030,
    inference(avatar_split_clause,[],[f2303,f7965]) ).

fof(f7965,plain,
    ( spl0_1030
  <=> op(op(e1,e1),e4) = op(e1,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1030])]) ).

fof(f2303,plain,
    op(op(e1,e1),e4) = op(e1,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7963,plain,
    ( ~ spl0_700
    | ~ spl0_118
    | ~ spl0_595
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f1459,f4141,f5430,f3216,f5974]) ).

fof(f5974,plain,
    ( spl0_700
  <=> e1 = op(op(e5,e0),op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).

fof(f3216,plain,
    ( spl0_118
  <=> e4 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f5430,plain,
    ( spl0_595
  <=> e3 = op(e5,op(op(e5,e0),op(e5,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).

fof(f1459,plain,
    ( e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(e5,e0)
    | e1 != op(op(e5,e0),op(e5,e0)) ),
    inference(cnf_transformation,[],[f1088]) ).

fof(f1088,plain,
    ( e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(e5,e0)
    | e1 != op(op(e5,e0),op(e5,e0)) ),
    inference(ennf_transformation,[],[f260]) ).

fof(f260,axiom,
    ~ ( e4 = op(e5,e0)
      & e1 = op(op(e5,e0),op(e5,e0))
      & e3 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax260) ).

fof(f7962,plain,
    ( ~ spl0_148
    | ~ spl0_186
    | ~ spl0_673
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2589,f3346,f5822,f3519,f3350]) ).

fof(f3519,plain,
    ( spl0_186
  <=> e2 = op(e4,op(op(e4,e0),op(e4,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f5822,plain,
    ( spl0_673
  <=> e3 = op(op(e4,e0),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).

fof(f3346,plain,
    ( spl0_147
  <=> e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2589,plain,
    ( e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(op(e4,e0),op(e4,e0))
    | e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e5 != op(e4,e0) ),
    inference(cnf_transformation,[],[f1247]) ).

fof(f1247,plain,
    ( e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,e0)
    | e2 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f136]) ).

fof(f136,axiom,
    ~ ( e5 = op(e4,e0)
      & e3 = op(op(e4,e0),op(e4,e0))
      & e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e2 = op(e4,op(op(e4,e0),op(e4,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).

fof(f7961,plain,
    ( spl0_1028
    | spl0_300
    | spl0_1029
    | spl0_399
    | spl0_705
    | spl0_586 ),
    inference(avatar_split_clause,[],[f1731,f5385,f5999,f4492,f7958,f4033,f7954]) ).

fof(f7954,plain,
    ( spl0_1028
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1028])]) ).

fof(f4033,plain,
    ( spl0_300
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f7958,plain,
    ( spl0_1029
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1029])]) ).

fof(f4492,plain,
    ( spl0_399
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f5999,plain,
    ( spl0_705
  <=> e5 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).

fof(f1731,plain,
    ( e2 = op(e4,e1)
    | e5 = op(e4,e1)
    | e3 = op(e4,e1)
    | e1 = op(e4,e1)
    | e0 = op(e4,e1)
    | e4 = op(e4,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7952,plain,
    ( ~ spl0_349
    | ~ spl0_578
    | ~ spl0_413
    | ~ spl0_545 ),
    inference(avatar_split_clause,[],[f1629,f5183,f4556,f5344,f4259]) ).

fof(f4259,plain,
    ( spl0_349
  <=> e2 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f5344,plain,
    ( spl0_578
  <=> e0 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).

fof(f4556,plain,
    ( spl0_413
  <=> e3 = op(op(e4,e5),op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f5183,plain,
    ( spl0_545
  <=> e1 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).

fof(f1629,plain,
    ( e1 != op(e4,e5)
    | e3 != op(op(e4,e5),op(e4,e5))
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1275]) ).

fof(f1275,plain,
    ( e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,e5)
    | e2 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e3 = op(op(e4,e5),op(e4,e5))
      & e1 = op(e4,e5)
      & e2 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

fof(f7951,plain,
    ( ~ spl0_484
    | ~ spl0_580
    | ~ spl0_418
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f2106,f5127,f4580,f5354,f4896]) ).

fof(f4896,plain,
    ( spl0_484
  <=> e4 = op(op(e3,e5),op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).

fof(f5354,plain,
    ( spl0_580
  <=> e0 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).

fof(f5127,plain,
    ( spl0_533
  <=> e1 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).

fof(f2106,plain,
    ( e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(e3,e5)
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e4 != op(op(e3,e5),op(e3,e5)) ),
    inference(cnf_transformation,[],[f1072]) ).

fof(f1072,plain,
    ( e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e4 != op(op(e3,e5),op(e3,e5))
    | e2 != op(e3,e5)
    | e1 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,axiom,
    ~ ( e1 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e4 = op(op(e3,e5),op(e3,e5))
      & e0 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(e3,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).

fof(f7950,plain,
    ( ~ spl0_311
    | ~ spl0_431
    | ~ spl0_291
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2103,f3450,f3993,f4643,f4082]) ).

fof(f4643,plain,
    ( spl0_431
  <=> e1 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f3993,plain,
    ( spl0_291
  <=> e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f2103,plain,
    ( e2 != op(op(e5,e3),op(e5,e3))
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(e5,e3)
    | e0 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(cnf_transformation,[],[f1187]) ).

fof(f1187,plain,
    ( e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(e5,e3)
    | e2 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(ennf_transformation,[],[f564]) ).

fof(f564,axiom,
    ~ ( e2 = op(op(e5,e3),op(e5,e3))
      & e1 = op(e5,e3)
      & e0 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax564) ).

fof(f7949,plain,
    ( ~ spl0_714
    | ~ spl0_362
    | ~ spl0_175
    | ~ spl0_542 ),
    inference(avatar_split_clause,[],[f1551,f5168,f3471,f4320,f6049]) ).

fof(f6049,plain,
    ( spl0_714
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).

fof(f4320,plain,
    ( spl0_362
  <=> e4 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f5168,plain,
    ( spl0_542
  <=> e0 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).

fof(f1551,plain,
    ( e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,e2) ),
    inference(cnf_transformation,[],[f1032]) ).

fof(f1032,plain,
    ( e1 != op(e3,e2)
    | e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(op(e3,e2),op(e3,e2)) ),
    inference(ennf_transformation,[],[f541]) ).

fof(f541,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e5 = op(op(e3,e2),op(e3,e2))
      & e1 = op(e3,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax541) ).

fof(f7948,plain,
    ( ~ spl0_818
    | ~ spl0_257
    | ~ spl0_326
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f1528,f3830,f4154,f3838,f6632]) ).

fof(f3838,plain,
    ( spl0_257
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f1528,plain,
    ( e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,e2)
    | e5 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(cnf_transformation,[],[f1157]) ).

fof(f1157,plain,
    ( e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(e4,e2) ),
    inference(ennf_transformation,[],[f54]) ).

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

fof(f7947,plain,
    ( ~ spl0_424
    | ~ spl0_425
    | ~ spl0_47
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2093,f2895,f2907,f4613,f4609]) ).

fof(f4613,plain,
    ( spl0_425
  <=> e0 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f2093,plain,
    ( e4 != op(op(e1,e5),op(e1,e5))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,e5)
    | e2 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f1063]) ).

fof(f1063,plain,
    ( e4 != op(op(e1,e5),op(e1,e5))
    | e0 != op(e1,e5)
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f481]) ).

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

fof(f7946,plain,
    ( ~ spl0_387
    | ~ spl0_413
    | ~ spl0_349
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f1760,f4255,f4259,f4556,f4437]) ).

fof(f1760,plain,
    ( e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(op(e4,e5),op(e4,e5))
    | e0 != op(e4,e5) ),
    inference(cnf_transformation,[],[f1175]) ).

fof(f1175,plain,
    ( e3 != op(op(e4,e5),op(e4,e5))
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(e4,e5) ),
    inference(ennf_transformation,[],[f234]) ).

fof(f234,axiom,
    ~ ( e0 = op(e4,e5)
      & e2 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e3 = op(op(e4,e5),op(e4,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax234) ).

fof(f7945,plain,
    ( ~ spl0_267
    | ~ spl0_227
    | ~ spl0_427
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f2541,f5509,f4623,f3701,f3881]) ).

fof(f3701,plain,
    ( spl0_227
  <=> e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f5509,plain,
    ( spl0_611
  <=> e1 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).

fof(f2541,plain,
    ( e1 != op(e0,e5)
    | e4 != op(op(e0,e5),op(e0,e5))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f1174]) ).

fof(f1174,plain,
    ( e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(e0,e5)
    | e4 != op(op(e0,e5),op(e0,e5)) ),
    inference(ennf_transformation,[],[f483]) ).

fof(f483,axiom,
    ~ ( e1 = op(e0,e5)
      & e4 = op(op(e0,e5),op(e0,e5))
      & e2 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax483) ).

fof(f7944,plain,
    spl0_1027,
    inference(avatar_split_clause,[],[f2204,f7941]) ).

fof(f7941,plain,
    ( spl0_1027
  <=> op(op(e1,e0),e5) = op(e1,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1027])]) ).

fof(f2204,plain,
    op(op(e1,e0),e5) = op(e1,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7939,plain,
    ( spl0_83
    | spl0_1026
    | spl0_583
    | spl0_37
    | spl0_294
    | spl0_513 ),
    inference(avatar_split_clause,[],[f1504,f5026,f4006,f2864,f5369,f7936,f3065]) ).

fof(f3065,plain,
    ( spl0_83
  <=> e5 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f7936,plain,
    ( spl0_1026
  <=> e4 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1026])]) ).

fof(f5369,plain,
    ( spl0_583
  <=> e1 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).

fof(f2864,plain,
    ( spl0_37
  <=> e3 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f4006,plain,
    ( spl0_294
  <=> e0 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f5026,plain,
    ( spl0_513
  <=> e2 = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).

fof(f1504,plain,
    ( e2 = inv(e4)
    | e0 = inv(e4)
    | e3 = inv(e4)
    | e1 = inv(e4)
    | e4 = inv(e4)
    | e5 = inv(e4) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f7934,plain,
    ( ~ spl0_589
    | ~ spl0_213
    | ~ spl0_183
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2542,f3501,f3505,f3637,f5399]) ).

fof(f2542,plain,
    ( e3 != op(e0,e4)
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1181]) ).

fof(f1181,plain,
    ( e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(e0,e4)
    | e2 != op(op(e0,e4),op(e0,e4))
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f227]) ).

fof(f227,axiom,
    ~ ( e2 = op(op(e0,e4),op(e0,e4))
      & e3 = op(e0,e4)
      & e5 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax227) ).

fof(f7933,plain,
    spl0_1025,
    inference(avatar_split_clause,[],[f2186,f7930]) ).

fof(f7930,plain,
    ( spl0_1025
  <=> op(op(e4,e3),e0) = op(e4,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1025])]) ).

fof(f2186,plain,
    op(op(e4,e3),e0) = op(e4,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7928,plain,
    ( spl0_395
    | ~ spl0_394 ),
    inference(avatar_split_clause,[],[f1690,f4470,f4474]) ).

fof(f4474,plain,
    ( spl0_395
  <=> e0 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f4470,plain,
    ( spl0_394
  <=> e5 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f1690,plain,
    ( e5 != inv(e0)
    | e0 = inv(e5) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7927,plain,
    ( ~ spl0_109
    | ~ spl0_415
    | ~ spl0_670
    | ~ spl0_523 ),
    inference(avatar_split_clause,[],[f1552,f5078,f5807,f4566,f3177]) ).

fof(f3177,plain,
    ( spl0_109
  <=> e2 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f4566,plain,
    ( spl0_415
  <=> e0 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f5807,plain,
    ( spl0_670
  <=> e3 = op(e5,op(op(e5,e4),op(e5,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).

fof(f5078,plain,
    ( spl0_523
  <=> e1 = op(op(e5,e4),op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).

fof(f1552,plain,
    ( e1 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,e4) ),
    inference(cnf_transformation,[],[f1304]) ).

fof(f1304,plain,
    ( e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,e4) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,axiom,
    ~ ( e3 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e0 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e1 = op(op(e5,e4),op(e5,e4))
      & e2 = op(e5,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).

fof(f7926,plain,
    ( ~ spl0_514
    | spl0_188 ),
    inference(avatar_split_clause,[],[f1683,f3528,f5031]) ).

fof(f3528,plain,
    ( spl0_188
  <=> e2 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1683,plain,
    ( e2 = inv(e3)
    | e3 != inv(e2) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7925,plain,
    ~ spl0_1024,
    inference(avatar_split_clause,[],[f1600,f7922]) ).

fof(f7922,plain,
    ( spl0_1024
  <=> inv(e2) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1024])]) ).

fof(f1600,plain,
    inv(e2) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f7920,plain,
    spl0_1023,
    inference(avatar_split_clause,[],[f2299,f7917]) ).

fof(f7917,plain,
    ( spl0_1023
  <=> op(op(e4,e4),e2) = op(e4,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1023])]) ).

fof(f2299,plain,
    op(op(e4,e4),e2) = op(e4,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7915,plain,
    ( ~ spl0_39
    | ~ spl0_42
    | ~ spl0_604
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f1486,f4292,f5477,f2885,f2873]) ).

fof(f4292,plain,
    ( spl0_356
  <=> e4 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f1486,plain,
    ( e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,e2)
    | e0 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f1326]) ).

fof(f1326,plain,
    ( e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(e5,e2)
    | e3 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f540]) ).

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

fof(f7914,plain,
    ( ~ spl0_59
    | ~ spl0_591
    | ~ spl0_60
    | ~ spl0_569 ),
    inference(avatar_split_clause,[],[f2095,f5298,f2964,f5409,f2960]) ).

fof(f2960,plain,
    ( spl0_59
  <=> e5 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f5409,plain,
    ( spl0_591
  <=> e2 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).

fof(f5298,plain,
    ( spl0_569
  <=> e3 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).

fof(f2095,plain,
    ( e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(e1,e0)
    | e2 != op(op(e1,e0),op(e1,e0))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f777]) ).

fof(f777,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,e0)
    | e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f629]) ).

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

fof(f7913,plain,
    ( ~ spl0_62
    | ~ spl0_548
    | ~ spl0_64
    | ~ spl0_821 ),
    inference(avatar_split_clause,[],[f2433,f6648,f2981,f5197,f2973]) ).

fof(f2433,plain,
    ( e5 != op(op(e4,e3),op(e4,e3))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e1 != op(e4,e3) ),
    inference(cnf_transformation,[],[f1371]) ).

fof(f1371,plain,
    ( e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e1 != op(e4,e3) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e2 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e1 = op(e4,e3)
      & e5 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f7912,plain,
    ( ~ spl0_498
    | ~ spl0_56
    | ~ spl0_318
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f2502,f5201,f4115,f2947,f4959]) ).

fof(f2947,plain,
    ( spl0_56
  <=> e1 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f4115,plain,
    ( spl0_318
  <=> e5 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f2502,plain,
    ( e0 != op(op(e4,e3),op(e4,e3))
    | e5 != op(e4,e3)
    | e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f1421]) ).

fof(f1421,plain,
    ( e5 != op(e4,e3)
    | e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,e3),op(e4,e3))
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(ennf_transformation,[],[f310]) ).

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

fof(f7911,plain,
    ( ~ spl0_606
    | ~ spl0_200
    | ~ spl0_96
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f2514,f4662,f3123,f3579,f5486]) ).

fof(f5486,plain,
    ( spl0_606
  <=> e4 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).

fof(f3579,plain,
    ( spl0_200
  <=> e5 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f3123,plain,
    ( spl0_96
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f4662,plain,
    ( spl0_435
  <=> e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f2514,plain,
    ( e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(e3,e1)
    | e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,e1),op(e3,e1)) ),
    inference(cnf_transformation,[],[f1384]) ).

fof(f1384,plain,
    ( e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e4 != op(op(e3,e1),op(e3,e1))
    | e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(e3,e1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e5 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e2 = op(e3,e1)
      & e4 = op(op(e3,e1),op(e3,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f7910,plain,
    ( spl0_49
    | spl0_70
    | spl0_1021
    | spl0_136
    | spl0_613
    | spl0_1022 ),
    inference(avatar_split_clause,[],[f1734,f7907,f5521,f3295,f7903,f3009,f2916]) ).

fof(f2916,plain,
    ( spl0_49
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f3009,plain,
    ( spl0_70
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f7903,plain,
    ( spl0_1021
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1021])]) ).

fof(f5521,plain,
    ( spl0_613
  <=> e5 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).

fof(f7907,plain,
    ( spl0_1022
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1022])]) ).

fof(f1734,plain,
    ( e2 = op(e2,e0)
    | e5 = op(e2,e0)
    | e4 = op(e2,e0)
    | e0 = op(e2,e0)
    | e3 = op(e2,e0)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7901,plain,
    ( ~ spl0_877
    | spl0_190 ),
    inference(avatar_split_clause,[],[f1691,f3536,f6967]) ).

fof(f6967,plain,
    ( spl0_877
  <=> e3 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).

fof(f3536,plain,
    ( spl0_190
  <=> e5 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1691,plain,
    ( e5 = inv(e3)
    | e3 != inv(e5) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7900,plain,
    spl0_1020,
    inference(avatar_split_clause,[],[f2315,f7897]) ).

fof(f7897,plain,
    ( spl0_1020
  <=> op(op(e5,e0),e1) = op(e5,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1020])]) ).

fof(f2315,plain,
    op(op(e5,e0),e1) = op(e5,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7895,plain,
    ( ~ spl0_79
    | ~ spl0_728
    | ~ spl0_82
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f2343,f3886,f3060,f6128,f3048]) ).

fof(f2343,plain,
    ( e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(e0,e4)
    | e3 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f774]) ).

fof(f774,plain,
    ( e3 != op(op(e0,e4),op(e0,e4))
    | e2 != op(e0,e4)
    | e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f717]) ).

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

fof(f7894,plain,
    ( ~ spl0_486
    | ~ spl0_481
    | ~ spl0_372
    | ~ spl0_487 ),
    inference(avatar_split_clause,[],[f2086,f4909,f4364,f4880,f4905]) ).

fof(f4905,plain,
    ( spl0_486
  <=> e2 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).

fof(f4880,plain,
    ( spl0_481
  <=> e0 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).

fof(f4364,plain,
    ( spl0_372
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f4909,plain,
    ( spl0_487
  <=> e5 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).

fof(f2086,plain,
    ( e5 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,e3)
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f947]) ).

fof(f947,plain,
    ( e5 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,e3)
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(ennf_transformation,[],[f303]) ).

fof(f303,axiom,
    ~ ( e5 = op(op(e1,e3),op(e1,e3))
      & e4 = op(e1,e3)
      & e0 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e2 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax303) ).

fof(f7893,plain,
    ( ~ spl0_664
    | ~ spl0_64
    | ~ spl0_56
    | ~ spl0_821 ),
    inference(avatar_split_clause,[],[f1559,f6648,f2947,f2981,f5777]) ).

fof(f1559,plain,
    ( e5 != op(op(e4,e3),op(e4,e3))
    | e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,e3) ),
    inference(cnf_transformation,[],[f1375]) ).

fof(f1375,plain,
    ( e5 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,e3)
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ~ ( e2 = op(e4,e3)
      & e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e5 = op(op(e4,e3),op(e4,e3))
      & e1 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

fof(f7892,plain,
    spl0_1019,
    inference(avatar_split_clause,[],[f2302,f7889]) ).

fof(f7889,plain,
    ( spl0_1019
  <=> op(op(e0,e0),e3) = op(e0,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1019])]) ).

fof(f2302,plain,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7887,plain,
    ~ spl0_1018,
    inference(avatar_split_clause,[],[f1946,f7884]) ).

fof(f7884,plain,
    ( spl0_1018
  <=> op(e0,e1) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1018])]) ).

fof(f1946,plain,
    op(e0,e1) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7882,plain,
    ( ~ spl0_291
    | ~ spl0_310
    | ~ spl0_343
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f2344,f3997,f4231,f4078,f3993]) ).

fof(f4078,plain,
    ( spl0_310
  <=> e2 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f4231,plain,
    ( spl0_343
  <=> e0 = op(op(e5,e3),op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f3997,plain,
    ( spl0_292
  <=> e1 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f2344,plain,
    ( e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,e3)
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(cnf_transformation,[],[f1020]) ).

fof(f1020,plain,
    ( e0 != op(op(e5,e3),op(e5,e3))
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(e5,e3) ),
    inference(ennf_transformation,[],[f572]) ).

fof(f572,axiom,
    ~ ( e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e2 = op(e5,e3)
      & e1 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e0 = op(op(e5,e3),op(e5,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax572) ).

fof(f7881,plain,
    ~ spl0_1017,
    inference(avatar_split_clause,[],[f1898,f7878]) ).

fof(f7878,plain,
    ( spl0_1017
  <=> op(e1,e1) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1017])]) ).

fof(f1898,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7876,plain,
    ( ~ spl0_121
    | ~ spl0_122
    | ~ spl0_198
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f1794,f3715,f3570,f3233,f3229]) ).

fof(f3233,plain,
    ( spl0_122
  <=> e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3715,plain,
    ( spl0_230
  <=> e4 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f1794,plain,
    ( e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5)
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(op(e1,e5),op(e1,e5)) ),
    inference(cnf_transformation,[],[f1245]) ).

fof(f1245,plain,
    ( e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5)
    | e0 != op(op(e1,e5),op(e1,e5))
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    inference(ennf_transformation,[],[f370]) ).

fof(f370,axiom,
    ~ ( e0 = op(op(e1,e5),op(e1,e5))
      & e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e4 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e3 = op(e1,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax370) ).

fof(f7875,plain,
    ( ~ spl0_125
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1468,f3250,f3026,f3022,f3246]) ).

fof(f3246,plain,
    ( spl0_125
  <=> e5 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3022,plain,
    ( spl0_73
  <=> e2 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3026,plain,
    ( spl0_74
  <=> e3 = op(op(e1,e4),op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3250,plain,
    ( spl0_126
  <=> e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1468,plain,
    ( e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(e1,e4) ),
    inference(cnf_transformation,[],[f1133]) ).

fof(f1133,plain,
    ( e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,e4)
    | e3 != op(op(e1,e4),op(e1,e4)) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ~ ( e3 = op(op(e1,e4),op(e1,e4))
      & e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e5 = op(e1,e4)
      & e2 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

fof(f7874,plain,
    ( ~ spl0_261
    | ~ spl0_262
    | ~ spl0_525
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1649,f3492,f5087,f3859,f3855]) ).

fof(f3859,plain,
    ( spl0_262
  <=> e5 = op(op(e2,e4),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f5087,plain,
    ( spl0_525
  <=> e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).

fof(f3492,plain,
    ( spl0_180
  <=> e0 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1649,plain,
    ( e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4))
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f1359,plain,
    ( e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4))
    | e1 != op(e2,e4) ),
    inference(ennf_transformation,[],[f445]) ).

fof(f445,axiom,
    ~ ( e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e5 = op(op(e2,e4),op(e2,e4))
      & e1 = op(e2,e4)
      & e0 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax445) ).

fof(f7873,plain,
    ( ~ spl0_762
    | ~ spl0_686
    | ~ spl0_240
    | ~ spl0_468 ),
    inference(avatar_split_clause,[],[f1655,f4822,f3761,f5897,f6330]) ).

fof(f6330,plain,
    ( spl0_762
  <=> e3 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).

fof(f5897,plain,
    ( spl0_686
  <=> e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).

fof(f3761,plain,
    ( spl0_240
  <=> e4 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f4822,plain,
    ( spl0_468
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).

fof(f1655,plain,
    ( e1 != op(e0,e2)
    | e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f922]) ).

fof(f922,plain,
    ( e1 != op(e0,e2)
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(op(e0,e2),op(e0,e2))
    | e4 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(ennf_transformation,[],[f681]) ).

fof(f681,axiom,
    ~ ( e4 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e3 = op(op(e0,e2),op(e0,e2))
      & e1 = op(e0,e2)
      & e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax681) ).

fof(f7872,plain,
    ( ~ spl0_210
    | ~ spl0_273
    | ~ spl0_16
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2627,f3933,f2772,f3910,f3623]) ).

fof(f3623,plain,
    ( spl0_210
  <=> e1 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f3910,plain,
    ( spl0_273
  <=> e4 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f2627,plain,
    ( e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(e3,e0)
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1138]) ).

fof(f1138,plain,
    ( e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(e3,e0)
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(ennf_transformation,[],[f512]) ).

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

fof(f7871,plain,
    ( ~ spl0_718
    | ~ spl0_682
    | ~ spl0_374
    | ~ spl0_754 ),
    inference(avatar_split_clause,[],[f2612,f6283,f4374,f5873,f6070]) ).

fof(f6070,plain,
    ( spl0_718
  <=> e2 = op(e3,op(op(e3,e4),op(e3,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).

fof(f5873,plain,
    ( spl0_682
  <=> e5 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).

fof(f4374,plain,
    ( spl0_374
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f6283,plain,
    ( spl0_754
  <=> e0 = op(op(e3,e4),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).

fof(f2612,plain,
    ( e0 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,e4)
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f1403]) ).

fof(f1403,plain,
    ( e1 != op(e3,e4)
    | e0 != op(op(e3,e4),op(e3,e4))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(ennf_transformation,[],[f722]) ).

fof(f722,axiom,
    ~ ( e2 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e0 = op(op(e3,e4),op(e3,e4))
      & e1 = op(e3,e4)
      & e5 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax722) ).

fof(f7870,plain,
    ( ~ spl0_568
    | ~ spl0_134
    | ~ spl0_590
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2403,f3278,f5405,f3286,f5294]) ).

fof(f5294,plain,
    ( spl0_568
  <=> e2 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).

fof(f2403,plain,
    ( e5 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e3 != op(e1,e0)
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f914]) ).

fof(f914,plain,
    ( e3 != op(e1,e0)
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e5 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f267]) ).

fof(f267,axiom,
    ~ ( e5 = op(op(e1,e0),op(e1,e0))
      & e2 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e3 = op(e1,e0)
      & e4 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax267) ).

fof(f7869,plain,
    ( ~ spl0_455
    | ~ spl0_302
    | ~ spl0_580
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2564,f3337,f5354,f4043,f4757]) ).

fof(f4757,plain,
    ( spl0_455
  <=> e4 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).

fof(f3337,plain,
    ( spl0_145
  <=> e2 = op(op(e3,e5),op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2564,plain,
    ( e2 != op(op(e3,e5),op(e3,e5))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,e5)
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(cnf_transformation,[],[f1363]) ).

fof(f1363,plain,
    ( e1 != op(e3,e5)
    | e4 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e2 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f126,axiom,
    ~ ( e2 = op(op(e3,e5),op(e3,e5))
      & e4 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e1 = op(e3,e5)
      & e0 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).

fof(f7868,plain,
    ( ~ spl0_708
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2392,f3278,f2964,f2956,f6018]) ).

fof(f2956,plain,
    ( spl0_58
  <=> e2 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2392,plain,
    ( e5 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,e0)
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f1332]) ).

fof(f1332,plain,
    ( e5 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(e1,e0)
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f381]) ).

fof(f381,axiom,
    ~ ( e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e5 = op(op(e1,e0),op(e1,e0))
      & e2 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax381) ).

fof(f7867,plain,
    ( ~ spl0_310
    | ~ spl0_291
    | ~ spl0_311
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f1833,f4546,f4082,f3993,f4078]) ).

fof(f4546,plain,
    ( spl0_411
  <=> e1 = op(op(e5,e3),op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f1833,plain,
    ( e1 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,e3) ),
    inference(cnf_transformation,[],[f1233]) ).

fof(f1233,plain,
    ( e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(e5,e3)
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(op(e5,e3),op(e5,e3)) ),
    inference(ennf_transformation,[],[f566]) ).

fof(f566,axiom,
    ~ ( e0 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e1 = op(op(e5,e3),op(e5,e3))
      & e2 = op(e5,e3)
      & e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax566) ).

fof(f7866,plain,
    ( ~ spl0_818
    | ~ spl0_638
    | ~ spl0_639
    | ~ spl0_474 ),
    inference(avatar_split_clause,[],[f1852,f4847,f5645,f5641,f6632]) ).

fof(f5641,plain,
    ( spl0_638
  <=> e0 = op(op(e4,e2),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).

fof(f5645,plain,
    ( spl0_639
  <=> e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).

fof(f4847,plain,
    ( spl0_474
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).

fof(f1852,plain,
    ( e3 != op(e4,e2)
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(cnf_transformation,[],[f798]) ).

fof(f798,plain,
    ( e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(e4,e2) ),
    inference(ennf_transformation,[],[f176]) ).

fof(f176,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e0 = op(op(e4,e2),op(e4,e2))
      & e5 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e3 = op(e4,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax176) ).

fof(f7865,plain,
    ( ~ spl0_57
    | ~ spl0_547
    | ~ spl0_55
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1771,f2977,f2943,f5193,f2951]) ).

fof(f2951,plain,
    ( spl0_57
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f5193,plain,
    ( spl0_547
  <=> e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).

fof(f1771,plain,
    ( e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e0 != op(e4,e3) ),
    inference(cnf_transformation,[],[f842]) ).

fof(f842,plain,
    ( e2 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,e3)
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f198]) ).

fof(f198,axiom,
    ~ ( e5 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e2 = op(op(e4,e3),op(e4,e3))
      & e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e0 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax198) ).

fof(f7864,plain,
    ( ~ spl0_391
    | ~ spl0_241
    | ~ spl0_480
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1588,f3148,f4876,f3766,f4455]) ).

fof(f3766,plain,
    ( spl0_241
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f3148,plain,
    ( spl0_102
  <=> e2 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1588,plain,
    ( e2 != op(op(e1,e3),op(e1,e3))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(e1,e3)
    | e5 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(cnf_transformation,[],[f1354]) ).

fof(f1354,plain,
    ( e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(e1,e3) ),
    inference(ennf_transformation,[],[f583]) ).

fof(f583,axiom,
    ~ ( e0 = op(e1,e3)
      & e4 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e5 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e2 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax583) ).

fof(f7863,plain,
    ( ~ spl0_185
    | ~ spl0_621
    | ~ spl0_203
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1807,f3519,f3592,f5560,f3515]) ).

fof(f5560,plain,
    ( spl0_621
  <=> e3 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).

fof(f3592,plain,
    ( spl0_203
  <=> e5 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f1807,plain,
    ( e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(e4,e0)
    | e1 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f1110]) ).

fof(f1110,plain,
    ( e1 != op(op(e4,e0),op(e4,e0))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e3 != op(e4,e0) ),
    inference(ennf_transformation,[],[f620]) ).

fof(f620,axiom,
    ~ ( e1 = op(op(e4,e0),op(e4,e0))
      & e2 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(e4,e0)
      & e5 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax620) ).

fof(f7862,plain,
    ( spl0_84
    | spl0_453
    | spl0_395
    | spl0_877
    | spl0_1016
    | spl0_345 ),
    inference(avatar_split_clause,[],[f1501,f4241,f7859,f6967,f4474,f4748,f3069]) ).

fof(f3069,plain,
    ( spl0_84
  <=> e4 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f7859,plain,
    ( spl0_1016
  <=> e5 = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1016])]) ).

fof(f1501,plain,
    ( e1 = inv(e5)
    | e5 = inv(e5)
    | e3 = inv(e5)
    | e0 = inv(e5)
    | e2 = inv(e5)
    | e4 = inv(e5) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f7857,plain,
    ( ~ spl0_241
    | ~ spl0_505
    | ~ spl0_487
    | ~ spl0_480 ),
    inference(avatar_split_clause,[],[f1481,f4876,f4909,f4992,f3766]) ).

fof(f4992,plain,
    ( spl0_505
  <=> e2 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).

fof(f1481,plain,
    ( e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(e1,e3) ),
    inference(cnf_transformation,[],[f1218]) ).

fof(f1218,plain,
    ( e5 != op(op(e1,e3),op(e1,e3))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(e1,e3)
    | e2 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(ennf_transformation,[],[f577]) ).

fof(f577,axiom,
    ~ ( e5 = op(op(e1,e3),op(e1,e3))
      & e2 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e4 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e0 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax577) ).

fof(f7856,plain,
    ( ~ spl0_436
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f2687,f4662,f3127,f3123,f4666]) ).

fof(f2687,plain,
    ( e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1)
    | e4 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(cnf_transformation,[],[f808]) ).

fof(f808,plain,
    ( e2 != op(e3,e1)
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e5 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e2 = op(e3,e1)
      & e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f7855,plain,
    ( ~ spl0_199
    | ~ spl0_121
    | ~ spl0_120
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1808,f2903,f3225,f3229,f3574]) ).

fof(f3574,plain,
    ( spl0_199
  <=> e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f2903,plain,
    ( spl0_46
  <=> e2 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1808,plain,
    ( e2 != op(e1,e5)
    | e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e0 != op(op(e1,e5),op(e1,e5))
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    inference(cnf_transformation,[],[f1225]) ).

fof(f1225,plain,
    ( e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e2 != op(e1,e5)
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(op(e1,e5),op(e1,e5)) ),
    inference(ennf_transformation,[],[f610]) ).

fof(f610,axiom,
    ~ ( e3 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e0 = op(op(e1,e5),op(e1,e5))
      & e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e2 = op(e1,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax610) ).

fof(f7854,plain,
    ( ~ spl0_266
    | ~ spl0_404
    | ~ spl0_267
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f1845,f4871,f3881,f4514,f3877]) ).

fof(f3877,plain,
    ( spl0_266
  <=> e4 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f4871,plain,
    ( spl0_479
  <=> e3 = op(op(e0,e5),op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).

fof(f1845,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,e5) ),
    inference(cnf_transformation,[],[f1335]) ).

fof(f1335,plain,
    ( e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,e5)
    | e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f239]) ).

fof(f239,axiom,
    ~ ( e2 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e4 = op(e0,e5)
      & e3 = op(op(e0,e5),op(e0,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax239) ).

fof(f7853,plain,
    spl0_1015,
    inference(avatar_split_clause,[],[f2132,f7850]) ).

fof(f7850,plain,
    ( spl0_1015
  <=> op(op(e0,e2),e3) = op(e0,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1015])]) ).

fof(f2132,plain,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7848,plain,
    spl0_1014,
    inference(avatar_split_clause,[],[f2327,f7845]) ).

fof(f7845,plain,
    ( spl0_1014
  <=> op(op(e5,e0),e4) = op(e5,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1014])]) ).

fof(f2327,plain,
    op(op(e5,e0),e4) = op(e5,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7843,plain,
    ( ~ spl0_498
    | ~ spl0_821
    | ~ spl0_57
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1648,f2947,f2951,f6648,f4959]) ).

fof(f1648,plain,
    ( e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(e4,e3)
    | e5 != op(op(e4,e3),op(e4,e3))
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f815]) ).

fof(f815,plain,
    ( e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,e3)
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(ennf_transformation,[],[f307]) ).

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

fof(f7842,plain,
    ( ~ spl0_484
    | ~ spl0_580
    | ~ spl0_302
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f2488,f4047,f4043,f5354,f4896]) ).

fof(f4047,plain,
    ( spl0_303
  <=> e2 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f2488,plain,
    ( e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(e3,e5)
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e4 != op(op(e3,e5),op(e3,e5)) ),
    inference(cnf_transformation,[],[f879]) ).

fof(f879,plain,
    ( e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(e3,e5)
    | e4 != op(op(e3,e5),op(e3,e5))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e4 = op(op(e3,e5),op(e3,e5))
      & e1 = op(e3,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).

fof(f7841,plain,
    ( ~ spl0_782
    | ~ spl0_802
    | ~ spl0_537
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f1818,f5136,f5144,f6535,f6438]) ).

fof(f6438,plain,
    ( spl0_782
  <=> e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).

fof(f6535,plain,
    ( spl0_802
  <=> e2 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).

fof(f5144,plain,
    ( spl0_537
  <=> e5 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).

fof(f5136,plain,
    ( spl0_535
  <=> e3 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).

fof(f1818,plain,
    ( e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(e0,e1)
    | e2 != op(op(e0,e1),op(e0,e1))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f892]) ).

fof(f892,plain,
    ( e5 != op(e0,e1)
    | e2 != op(op(e0,e1),op(e0,e1))
    | e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f533]) ).

fof(f533,axiom,
    ~ ( e5 = op(e0,e1)
      & e3 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e2 = op(op(e0,e1),op(e0,e1))
      & e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax533) ).

fof(f7840,plain,
    spl0_1013,
    inference(avatar_split_clause,[],[f1508,f7837]) ).

fof(f7837,plain,
    ( spl0_1013
  <=> unit = op(inv(e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1013])]) ).

fof(f1508,plain,
    unit = op(inv(e2),e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7835,plain,
    ( ~ spl0_533
    | ~ spl0_485
    | ~ spl0_484
    | ~ spl0_456 ),
    inference(avatar_split_clause,[],[f1550,f4761,f4896,f4900,f5127]) ).

fof(f4761,plain,
    ( spl0_456
  <=> e2 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).

fof(f1550,plain,
    ( e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e4 != op(op(e3,e5),op(e3,e5))
    | e0 != op(e3,e5)
    | e1 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(cnf_transformation,[],[f1227]) ).

fof(f1227,plain,
    ( e0 != op(e3,e5)
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f355]) ).

fof(f355,axiom,
    ~ ( e4 = op(op(e3,e5),op(e3,e5))
      & e1 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e0 = op(e3,e5)
      & e2 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax355) ).

fof(f7834,plain,
    ( ~ spl0_652
    | ~ spl0_237
    | ~ spl0_751
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f2675,f4589,f6263,f3749,f5714]) ).

fof(f5714,plain,
    ( spl0_652
  <=> e4 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).

fof(f3749,plain,
    ( spl0_237
  <=> e1 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f6263,plain,
    ( spl0_751
  <=> e5 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).

fof(f4589,plain,
    ( spl0_420
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f2675,plain,
    ( e3 != op(e0,e2)
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,e2),op(e0,e2))
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(cnf_transformation,[],[f745]) ).

fof(f745,plain,
    ( e3 != op(e0,e2)
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,e2),op(e0,e2))
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(ennf_transformation,[],[f563]) ).

fof(f563,axiom,
    ~ ( e3 = op(e0,e2)
      & e1 = op(op(e0,e2),op(e0,e2))
      & e4 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e5 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax563) ).

fof(f7833,plain,
    ( ~ spl0_149
    | ~ spl0_592
    | ~ spl0_147
    | ~ spl0_729 ),
    inference(avatar_split_clause,[],[f2359,f6133,f3346,f5415,f3354]) ).

fof(f5415,plain,
    ( spl0_592
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).

fof(f6133,plain,
    ( spl0_729
  <=> e5 = op(op(e4,e0),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).

fof(f2359,plain,
    ( e5 != op(op(e4,e0),op(e4,e0))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,e0)
    | e3 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f1065]) ).

fof(f1065,plain,
    ( e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(op(e4,e0),op(e4,e0))
    | e2 != op(e4,e0) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f139,axiom,
    ~ ( e2 = op(e4,e0)
      & e5 = op(op(e4,e0),op(e4,e0))
      & e3 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).

fof(f7832,plain,
    ( ~ spl0_98
    | ~ spl0_165
    | ~ spl0_201
    | ~ spl0_540 ),
    inference(avatar_split_clause,[],[f2430,f5159,f3583,f3426,f3131]) ).

fof(f3426,plain,
    ( spl0_165
  <=> e5 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3583,plain,
    ( spl0_201
  <=> e0 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f2430,plain,
    ( e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(op(e3,e1),op(e3,e1))
    | e5 != op(e3,e1)
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f1408]) ).

fof(f1408,plain,
    ( e5 != op(e3,e1)
    | e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f526]) ).

fof(f526,axiom,
    ~ ( e2 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e5 = op(e3,e1)
      & e0 = op(op(e3,e1),op(e3,e1))
      & e4 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax526) ).

fof(f7831,plain,
    ( ~ spl0_337
    | ~ spl0_424
    | ~ spl0_231
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2573,f3221,f3719,f4609,f4205]) ).

fof(f4205,plain,
    ( spl0_337
  <=> e3 = op(op(e1,e5),op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f2573,plain,
    ( e4 != op(e1,e5)
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(op(e1,e5),op(e1,e5)) ),
    inference(cnf_transformation,[],[f1152]) ).

fof(f1152,plain,
    ( e4 != op(e1,e5)
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(op(e1,e5),op(e1,e5))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f119]) ).

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

fof(f7830,plain,
    ~ spl0_1012,
    inference(avatar_split_clause,[],[f2449,f7827]) ).

fof(f7827,plain,
    ( spl0_1012
  <=> e0 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1012])]) ).

fof(f2449,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f10]) ).

fof(f7825,plain,
    ( ~ spl0_308
    | ~ spl0_95
    | ~ spl0_397
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2393,f3110,f4483,f3118,f4068]) ).

fof(f4068,plain,
    ( spl0_308
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f3118,plain,
    ( spl0_95
  <=> e0 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f4483,plain,
    ( spl0_397
  <=> e4 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f3110,plain,
    ( spl0_93
  <=> e5 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2393,plain,
    ( e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(e2,e3) ),
    inference(cnf_transformation,[],[f888]) ).

fof(f888,plain,
    ( e1 != op(e2,e3)
    | e4 != op(op(e2,e3),op(e2,e3))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3))) ),
    inference(ennf_transformation,[],[f685]) ).

fof(f685,axiom,
    ~ ( e1 = op(e2,e3)
      & e0 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e5 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e4 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax685) ).

fof(f7824,plain,
    ( ~ spl0_695
    | ~ spl0_714
    | ~ spl0_331
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1778,f3479,f4176,f6049,f5947]) ).

fof(f5947,plain,
    ( spl0_695
  <=> e5 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).

fof(f4176,plain,
    ( spl0_331
  <=> e4 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f3479,plain,
    ( spl0_177
  <=> e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1778,plain,
    ( e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(op(e3,e2),op(e3,e2))
    | e1 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f1160]) ).

fof(f1160,plain,
    ( e1 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,e2),op(e3,e2))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ~ ( e1 = op(e3,e2)
      & e5 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e4 = op(op(e3,e2),op(e3,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f7823,plain,
    spl0_1011,
    inference(avatar_split_clause,[],[f2283,f7820]) ).

fof(f7820,plain,
    ( spl0_1011
  <=> op(op(e4,e0),e1) = op(e4,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1011])]) ).

fof(f2283,plain,
    op(op(e4,e0),e1) = op(e4,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7818,plain,
    ( ~ spl0_78
    | ~ spl0_12
    | ~ spl0_77
    | ~ spl0_516 ),
    inference(avatar_split_clause,[],[f1636,f5042,f3039,f2755,f3043]) ).

fof(f3043,plain,
    ( spl0_78
  <=> e3 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2755,plain,
    ( spl0_12
  <=> e4 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3039,plain,
    ( spl0_77
  <=> e5 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1636,plain,
    ( e0 != op(e2,e1)
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e3 != op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f1449]) ).

fof(f1449,plain,
    ( e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e3 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1) ),
    inference(ennf_transformation,[],[f655]) ).

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

fof(f7817,plain,
    spl0_1010,
    inference(avatar_split_clause,[],[f2242,f7814]) ).

fof(f7814,plain,
    ( spl0_1010
  <=> op(op(e2,e3),e5) = op(e2,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1010])]) ).

fof(f2242,plain,
    op(op(e2,e3),e5) = op(e2,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7812,plain,
    ( ~ spl0_399
    | ~ spl0_297
    | ~ spl0_587
    | ~ spl0_351 ),
    inference(avatar_split_clause,[],[f1498,f4269,f5389,f4021,f4492]) ).

fof(f4021,plain,
    ( spl0_297
  <=> e2 = op(op(e4,e1),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f1498,plain,
    ( e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f1069]) ).

fof(f1069,plain,
    ( e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,e1)
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ~ ( e3 = op(e4,e1)
      & e5 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e2 = op(op(e4,e1),op(e4,e1))
      & e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(f7811,plain,
    ( ~ spl0_745
    | ~ spl0_228
    | ~ spl0_196
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1823,f2854,f3561,f3706,f6227]) ).

fof(f3706,plain,
    ( spl0_228
  <=> e3 = op(op(e2,e5),op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f3561,plain,
    ( spl0_196
  <=> e1 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f2854,plain,
    ( spl0_35
  <=> e0 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1823,plain,
    ( e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(e2,e5)
    | e3 != op(op(e2,e5),op(e2,e5))
    | e4 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f1311]) ).

fof(f1311,plain,
    ( e3 != op(op(e2,e5),op(e2,e5))
    | e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(e2,e5)
    | e4 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(ennf_transformation,[],[f127]) ).

fof(f127,axiom,
    ~ ( e3 = op(op(e2,e5),op(e2,e5))
      & e1 = op(e2,e5)
      & e4 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e0 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).

fof(f7810,plain,
    ( ~ spl0_69
    | ~ spl0_51
    | ~ spl0_136
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1761,f2920,f3295,f2924,f3005]) ).

fof(f3005,plain,
    ( spl0_69
  <=> e1 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2920,plain,
    ( spl0_50
  <=> e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1761,plain,
    ( e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e4 != op(e2,e0)
    | e5 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f1419]) ).

fof(f1419,plain,
    ( e4 != op(e2,e0)
    | e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(ennf_transformation,[],[f375]) ).

fof(f375,axiom,
    ~ ( e1 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e5 = op(op(e2,e0),op(e2,e0))
      & e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e4 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax375) ).

fof(f7809,plain,
    ( ~ spl0_474
    | ~ spl0_818
    | ~ spl0_255
    | ~ spl0_703 ),
    inference(avatar_split_clause,[],[f2431,f5990,f3830,f6632,f4847]) ).

fof(f2431,plain,
    ( e1 != op(op(e4,e2),op(e4,e2))
    | e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(e4,e2) ),
    inference(cnf_transformation,[],[f975]) ).

fof(f975,plain,
    ( e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(e4,e2)
    | e1 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e5 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e1 = op(op(e4,e2),op(e4,e2))
      & e3 = op(e4,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(f7808,plain,
    ( ~ spl0_358
    | ~ spl0_357
    | ~ spl0_448
    | ~ spl0_831 ),
    inference(avatar_split_clause,[],[f2696,f6705,f4724,f4296,f4300]) ).

fof(f4300,plain,
    ( spl0_358
  <=> e1 = op(op(e5,e2),op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f4724,plain,
    ( spl0_448
  <=> e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).

fof(f2696,plain,
    ( e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,e2)
    | e1 != op(op(e5,e2),op(e5,e2)) ),
    inference(cnf_transformation,[],[f972]) ).

fof(f972,plain,
    ( e1 != op(op(e5,e2),op(e5,e2))
    | e3 != op(e5,e2)
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ~ ( e1 = op(op(e5,e2),op(e5,e2))
      & e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e3 = op(e5,e2)
      & e4 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f7807,plain,
    ( ~ spl0_399
    | ~ spl0_767
    | ~ spl0_923
    | ~ spl0_585 ),
    inference(avatar_split_clause,[],[f2544,f5381,f7239,f6357,f4492]) ).

fof(f6357,plain,
    ( spl0_767
  <=> e2 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).

fof(f2544,plain,
    ( e5 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f1381]) ).

fof(f1381,plain,
    ( e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(e4,e1) ),
    inference(ennf_transformation,[],[f277]) ).

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

fof(f7806,plain,
    ( ~ spl0_565
    | ~ spl0_603
    | ~ spl0_449
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2703,f2881,f4728,f5473,f5279]) ).

fof(f5279,plain,
    ( spl0_565
  <=> e0 = op(op(e5,e2),op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).

fof(f4728,plain,
    ( spl0_449
  <=> e1 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).

fof(f2881,plain,
    ( spl0_41
  <=> e3 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2703,plain,
    ( e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(e5,e2)
    | e0 != op(op(e5,e2),op(e5,e2)) ),
    inference(cnf_transformation,[],[f945]) ).

fof(f945,plain,
    ( e4 != op(e5,e2)
    | e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f428]) ).

fof(f428,axiom,
    ~ ( e0 = op(op(e5,e2),op(e5,e2))
      & e4 = op(e5,e2)
      & e3 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e1 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax428) ).

fof(f7805,plain,
    ( ~ spl0_668
    | ~ spl0_545
    | ~ spl0_349
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2598,f2812,f4259,f5183,f5797]) ).

fof(f5797,plain,
    ( spl0_668
  <=> e3 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).

fof(f2812,plain,
    ( spl0_25
  <=> e0 = op(op(e4,e5),op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2598,plain,
    ( e0 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(e4,e5)
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f1426]) ).

fof(f1426,plain,
    ( e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e1 != op(e4,e5)
    | e0 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f482]) ).

fof(f482,axiom,
    ~ ( e2 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e3 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e1 = op(e4,e5)
      & e0 = op(op(e4,e5),op(e4,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax482) ).

fof(f7804,plain,
    ~ spl0_1009,
    inference(avatar_split_clause,[],[f2038,f7801]) ).

fof(f7801,plain,
    ( spl0_1009
  <=> op(e1,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1009])]) ).

fof(f2038,plain,
    op(e1,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7799,plain,
    ( spl0_166
    | spl0_1008
    | spl0_757
    | spl0_293
    | spl0_394
    | spl0_696 ),
    inference(avatar_split_clause,[],[f1500,f5953,f4470,f4002,f6301,f7796,f3431]) ).

fof(f3431,plain,
    ( spl0_166
  <=> e1 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f7796,plain,
    ( spl0_1008
  <=> e0 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1008])]) ).

fof(f6301,plain,
    ( spl0_757
  <=> e2 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).

fof(f4002,plain,
    ( spl0_293
  <=> e4 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f5953,plain,
    ( spl0_696
  <=> e3 = inv(e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).

fof(f1500,plain,
    ( e3 = inv(e0)
    | e5 = inv(e0)
    | e4 = inv(e0)
    | e2 = inv(e0)
    | e0 = inv(e0)
    | e1 = inv(e0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f7794,plain,
    ( ~ spl0_242
    | ~ spl0_528
    | ~ spl0_241
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f2067,f4992,f3766,f5101,f3770]) ).

fof(f3770,plain,
    ( spl0_242
  <=> e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f5101,plain,
    ( spl0_528
  <=> e4 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).

fof(f2067,plain,
    ( e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f978]) ).

fof(f978,plain,
    ( e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,e3)
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(ennf_transformation,[],[f697]) ).

fof(f697,axiom,
    ~ ( e4 = op(op(e1,e3),op(e1,e3))
      & e0 = op(e1,e3)
      & e2 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax697) ).

fof(f7793,plain,
    spl0_1007,
    inference(avatar_split_clause,[],[f2524,f7790]) ).

fof(f7790,plain,
    ( spl0_1007
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1007])]) ).

fof(f2524,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f7788,plain,
    ( ~ spl0_449
    | ~ spl0_409
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2685,f2881,f2877,f4537,f4728]) ).

fof(f2685,plain,
    ( e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,e2)
    | e1 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f1436]) ).

fof(f1436,plain,
    ( e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,e2)
    | e1 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f426]) ).

fof(f426,axiom,
    ~ ( e3 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e0 = op(e5,e2)
      & e1 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e4 = op(op(e5,e2),op(e5,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax426) ).

fof(f7787,plain,
    spl0_1006,
    inference(avatar_split_clause,[],[f2368,f7784]) ).

fof(f7784,plain,
    ( spl0_1006
  <=> unit = inv(unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1006])]) ).

fof(f2368,plain,
    unit = inv(unit),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    unit = inv(unit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f7782,plain,
    ( ~ spl0_35
    | ~ spl0_195
    | ~ spl0_196
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1641,f2842,f3561,f3557,f2854]) ).

fof(f3557,plain,
    ( spl0_195
  <=> e4 = op(op(e2,e5),op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f1641,plain,
    ( e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(e2,e5)
    | e4 != op(op(e2,e5),op(e2,e5))
    | e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f1451]) ).

fof(f1451,plain,
    ( e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e4 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(e2,e5) ),
    inference(ennf_transformation,[],[f121]) ).

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

fof(f7781,plain,
    ( ~ spl0_434
    | ~ spl0_436
    | ~ spl0_161
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f2354,f5269,f3410,f4666,f4658]) ).

fof(f4658,plain,
    ( spl0_434
  <=> e2 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f5269,plain,
    ( spl0_563
  <=> e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).

fof(f2354,plain,
    ( e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,e1)
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(op(e3,e1),op(e3,e1)) ),
    inference(cnf_transformation,[],[f1224]) ).

fof(f1224,plain,
    ( e2 != op(op(e3,e1),op(e3,e1))
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(e3,e1) ),
    inference(ennf_transformation,[],[f654]) ).

fof(f654,axiom,
    ~ ( e0 = op(e3,e1)
      & e2 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax654) ).

fof(f7780,plain,
    ( ~ spl0_15
    | ~ spl0_273
    | ~ spl0_209
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f2601,f3914,f3619,f3910,f2768]) ).

fof(f3619,plain,
    ( spl0_209
  <=> e2 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f2601,plain,
    ( e5 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,e0) ),
    inference(cnf_transformation,[],[f1002]) ).

fof(f1002,plain,
    ( e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0)
    | e2 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f499]) ).

fof(f499,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e1 = op(e3,e0)
      & e2 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e5 = op(op(e3,e0),op(e3,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax499) ).

fof(f7779,plain,
    ( ~ spl0_409
    | ~ spl0_356
    | ~ spl0_449
    | ~ spl0_604 ),
    inference(avatar_split_clause,[],[f2666,f5477,f4728,f4292,f4537]) ).

fof(f2666,plain,
    ( e3 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,e2) ),
    inference(cnf_transformation,[],[f966]) ).

fof(f966,plain,
    ( e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,e2)
    | e3 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f546]) ).

fof(f546,axiom,
    ~ ( e3 = op(op(e5,e2),op(e5,e2))
      & e4 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e1 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e0 = op(e5,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax546) ).

fof(f7778,plain,
    ( ~ spl0_117
    | ~ spl0_843
    | ~ spl0_115
    | ~ spl0_632 ),
    inference(avatar_split_clause,[],[f2109,f5615,f3204,f6780,f3212]) ).

fof(f3212,plain,
    ( spl0_117
  <=> e1 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2109,plain,
    ( e3 != op(e5,e0)
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(cnf_transformation,[],[f976]) ).

fof(f976,plain,
    ( e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e3 != op(e5,e0) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f132,axiom,
    ~ ( e1 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e2 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(e5,e0)
      & e4 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).

fof(f7777,plain,
    spl0_1005,
    inference(avatar_split_clause,[],[f2305,f7774]) ).

fof(f7774,plain,
    ( spl0_1005
  <=> op(op(e1,e5),e3) = op(e1,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1005])]) ).

fof(f2305,plain,
    op(op(e1,e5),e3) = op(e1,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7772,plain,
    ( ~ spl0_174
    | ~ spl0_363
    | ~ spl0_615
    | ~ spl0_695 ),
    inference(avatar_split_clause,[],[f1534,f5947,f5531,f4324,f3467]) ).

fof(f3467,plain,
    ( spl0_174
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f4324,plain,
    ( spl0_363
  <=> e0 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f1534,plain,
    ( e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,e2) ),
    inference(cnf_transformation,[],[f1049]) ).

fof(f1049,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(e3,e2) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f178,axiom,
    ~ ( e4 = op(e3,e2)
      & e0 = op(op(e3,e2),op(e3,e2))
      & e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e5 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax178) ).

fof(f7771,plain,
    ( ~ spl0_68
    | ~ spl0_49
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2599,f3291,f2912,f2916,f3001]) ).

fof(f3001,plain,
    ( spl0_68
  <=> e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2912,plain,
    ( spl0_48
  <=> e4 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3291,plain,
    ( spl0_135
  <=> e3 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2599,plain,
    ( e3 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e1 != op(e2,e0)
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f1301]) ).

fof(f1301,plain,
    ( e3 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(e2,e0) ),
    inference(ennf_transformation,[],[f631]) ).

fof(f631,axiom,
    ~ ( e3 = op(op(e2,e0),op(e2,e0))
      & e4 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e1 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax631) ).

fof(f7770,plain,
    ( ~ spl0_658
    | ~ spl0_133
    | ~ spl0_132
    | ~ spl0_569 ),
    inference(avatar_split_clause,[],[f2341,f5298,f3278,f3282,f5747]) ).

fof(f2341,plain,
    ( e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,e0),op(e1,e0))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(e1,e0) ),
    inference(cnf_transformation,[],[f896]) ).

fof(f896,plain,
    ( e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,e0)
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f507]) ).

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

fof(f7769,plain,
    spl0_1004,
    inference(avatar_split_clause,[],[f2280,f7766]) ).

fof(f7766,plain,
    ( spl0_1004
  <=> op(op(e2,e1),e0) = op(e2,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1004])]) ).

fof(f2280,plain,
    op(op(e2,e1),e0) = op(e2,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7764,plain,
    ( ~ spl0_20
    | ~ spl0_617
    | ~ spl0_2
    | ~ spl0_690 ),
    inference(avatar_split_clause,[],[f2397,f5919,f2711,f5540,f2790]) ).

fof(f2397,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(e0,e3) ),
    inference(cnf_transformation,[],[f1369]) ).

fof(f1369,plain,
    ( e5 != op(e0,e3)
    | e2 != op(op(e0,e3),op(e0,e3))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f575]) ).

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

fof(f7763,plain,
    ( ~ spl0_288
    | ~ spl0_407
    | ~ spl0_87
    | ~ spl0_679 ),
    inference(avatar_split_clause,[],[f1556,f5857,f3082,f4528,f3979]) ).

fof(f3979,plain,
    ( spl0_288
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f3082,plain,
    ( spl0_87
  <=> e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1556,plain,
    ( e4 != op(op(e1,e2),op(e1,e2))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(e1,e2) ),
    inference(cnf_transformation,[],[f1318]) ).

fof(f1318,plain,
    ( e3 != op(e1,e2)
    | e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,e2),op(e1,e2))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ~ ( e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(op(e1,e2),op(e1,e2))
      & e3 = op(e1,e2)
      & e5 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f7762,plain,
    ( ~ spl0_59
    | ~ spl0_569
    | ~ spl0_658
    | ~ spl0_646 ),
    inference(avatar_split_clause,[],[f1846,f5683,f5747,f5298,f2960]) ).

fof(f5683,plain,
    ( spl0_646
  <=> e4 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).

fof(f1846,plain,
    ( e4 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,e0)
    | e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f1183]) ).

fof(f1183,plain,
    ( e4 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,e0)
    | e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f627]) ).

fof(f627,axiom,
    ~ ( e3 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(op(e1,e0),op(e1,e0))
      & e2 = op(e1,e0)
      & e5 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax627) ).

fof(f7761,plain,
    spl0_1003,
    inference(avatar_split_clause,[],[f1514,f7758]) ).

fof(f7758,plain,
    ( spl0_1003
  <=> unit = op(inv(e4),e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1003])]) ).

fof(f1514,plain,
    unit = op(inv(e4),e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f7756,plain,
    ( ~ spl0_627
    | ~ spl0_628
    | ~ spl0_607
    | ~ spl0_608 ),
    inference(avatar_split_clause,[],[f2667,f5495,f5491,f5595,f5591]) ).

fof(f5591,plain,
    ( spl0_627
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).

fof(f5595,plain,
    ( spl0_628
  <=> e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).

fof(f5491,plain,
    ( spl0_607
  <=> e4 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).

fof(f5495,plain,
    ( spl0_608
  <=> e5 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).

fof(f2667,plain,
    ( e5 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f1104]) ).

fof(f1104,plain,
    ( e2 != op(e0,e1)
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,e1),op(e0,e1))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f411]) ).

fof(f411,axiom,
    ~ ( e5 = op(op(e0,e1),op(e0,e1))
      & e2 = op(e0,e1)
      & e4 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax411) ).

fof(f7755,plain,
    ( ~ spl0_228
    | ~ spl0_666
    | ~ spl0_745
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2378,f3802,f6227,f5787,f3706]) ).

fof(f2378,plain,
    ( e0 != op(e2,e5)
    | e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(op(e2,e5),op(e2,e5)) ),
    inference(cnf_transformation,[],[f951]) ).

fof(f951,plain,
    ( e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(op(e2,e5),op(e2,e5))
    | e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(e2,e5) ),
    inference(ennf_transformation,[],[f247]) ).

fof(f247,axiom,
    ~ ( e1 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(op(e2,e5),op(e2,e5))
      & e0 = op(e2,e5)
      & e4 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax247) ).

fof(f7754,plain,
    ~ spl0_1002,
    inference(avatar_split_clause,[],[f1995,f7751]) ).

fof(f7751,plain,
    ( spl0_1002
  <=> op(e1,e0) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1002])]) ).

fof(f1995,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7749,plain,
    ( ~ spl0_481
    | ~ spl0_487
    | ~ spl0_480
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f2434,f4356,f4876,f4909,f4880]) ).

fof(f2434,plain,
    ( e2 != op(e1,e3)
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(cnf_transformation,[],[f1164]) ).

fof(f1164,plain,
    ( e5 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e2 != op(e1,e3) ),
    inference(ennf_transformation,[],[f567]) ).

fof(f567,axiom,
    ~ ( e2 = op(e1,e3)
      & e4 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e5 = op(op(e1,e3),op(e1,e3))
      & e0 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax567) ).

fof(f7748,plain,
    ~ spl0_1001,
    inference(avatar_split_clause,[],[f1931,f7745]) ).

fof(f7745,plain,
    ( spl0_1001
  <=> op(e1,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1001])]) ).

fof(f1931,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7743,plain,
    ( ~ spl0_678
    | ~ spl0_619
    | ~ spl0_524
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2440,f3488,f5083,f5551,f5852]) ).

fof(f5852,plain,
    ( spl0_678
  <=> e0 = op(op(e2,e4),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).

fof(f3488,plain,
    ( spl0_179
  <=> e1 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f2440,plain,
    ( e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(e2,e4)
    | e0 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f893]) ).

fof(f893,plain,
    ( e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(e2,e4)
    | e0 != op(op(e2,e4),op(e2,e4)) ),
    inference(ennf_transformation,[],[f226]) ).

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

fof(f7742,plain,
    ( ~ spl0_210
    | ~ spl0_209
    | ~ spl0_273
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1795,f2764,f3910,f3619,f3623]) ).

fof(f2764,plain,
    ( spl0_14
  <=> e5 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1795,plain,
    ( e5 != op(e3,e0)
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f831]) ).

fof(f831,plain,
    ( e5 != op(e3,e0)
    | e1 != op(op(e3,e0),op(e3,e0))
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f502]) ).

fof(f502,axiom,
    ~ ( e1 = op(op(e3,e0),op(e3,e0))
      & e4 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e5 = op(e3,e0)
      & e2 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax502) ).

fof(f7741,plain,
    spl0_1000,
    inference(avatar_split_clause,[],[f2313,f7738]) ).

fof(f7738,plain,
    ( spl0_1000
  <=> op(op(e3,e1),e4) = op(e3,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1000])]) ).

fof(f2313,plain,
    op(op(e3,e1),e4) = op(e3,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7736,plain,
    ~ spl0_999,
    inference(avatar_split_clause,[],[f1895,f7733]) ).

fof(f7733,plain,
    ( spl0_999
  <=> op(e4,e0) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_999])]) ).

fof(f1895,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7731,plain,
    ~ spl0_998,
    inference(avatar_split_clause,[],[f1948,f7728]) ).

fof(f7728,plain,
    ( spl0_998
  <=> op(e3,e3) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_998])]) ).

fof(f1948,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7726,plain,
    ( ~ spl0_607
    | ~ spl0_534
    | ~ spl0_537
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2489,f3397,f5144,f5132,f5491]) ).

fof(f5132,plain,
    ( spl0_534
  <=> e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).

fof(f3397,plain,
    ( spl0_158
  <=> e3 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2489,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e5 != op(e0,e1)
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e4 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f980]) ).

fof(f980,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,e1) ),
    inference(ennf_transformation,[],[f293]) ).

fof(f293,axiom,
    ~ ( e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e4 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e3 = op(op(e0,e1),op(e0,e1))
      & e5 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax293) ).

fof(f7725,plain,
    ~ spl0_997,
    inference(avatar_split_clause,[],[f1933,f7722]) ).

fof(f7722,plain,
    ( spl0_997
  <=> op(e0,e5) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_997])]) ).

fof(f1933,plain,
    op(e0,e5) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7720,plain,
    ( ~ spl0_3
    | ~ spl0_128
    | ~ spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1708,f2707,f3268,f3260,f2715]) ).

fof(f2715,plain,
    ( spl0_3
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1708,plain,
    ( e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(e0,e3) ),
    inference(cnf_transformation,[],[f962]) ).

fof(f962,plain,
    ( e1 != op(op(e0,e3),op(e0,e3))
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f707]) ).

fof(f707,axiom,
    ~ ( e1 = op(op(e0,e3),op(e0,e3))
      & e2 = op(e0,e3)
      & e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e4 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax707) ).

fof(f7719,plain,
    ( ~ spl0_178
    | ~ spl0_524
    | ~ spl0_261
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f2460,f3851,f3855,f5083,f3484]) ).

fof(f3484,plain,
    ( spl0_178
  <=> e3 = op(op(e2,e4),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2460,plain,
    ( e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(e2,e4)
    | e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f1407]) ).

fof(f1407,plain,
    ( e3 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(e2,e4) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,axiom,
    ~ ( e3 = op(op(e2,e4),op(e2,e4))
      & e0 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e1 = op(e2,e4)
      & e5 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).

fof(f7718,plain,
    ( ~ spl0_500
    | ~ spl0_315
    | ~ spl0_670
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2337,f3157,f5807,f4101,f4968]) ).

fof(f4968,plain,
    ( spl0_500
  <=> e2 = op(op(e5,e4),op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).

fof(f4101,plain,
    ( spl0_315
  <=> e1 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f3157,plain,
    ( spl0_104
  <=> e0 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2337,plain,
    ( e0 != op(e5,e4)
    | e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(op(e5,e4),op(e5,e4)) ),
    inference(cnf_transformation,[],[f1168]) ).

fof(f1168,plain,
    ( e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(e5,e4)
    | e2 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f216]) ).

fof(f216,axiom,
    ~ ( e1 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e0 = op(e5,e4)
      & e3 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e2 = op(op(e5,e4),op(e5,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax216) ).

fof(f7717,plain,
    spl0_996,
    inference(avatar_split_clause,[],[f1513,f7714]) ).

fof(f7714,plain,
    ( spl0_996
  <=> unit = op(e0,inv(e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_996])]) ).

fof(f1513,plain,
    unit = op(e0,inv(e0)),
    inference(cnf_transformation,[],[f4]) ).

fof(f7712,plain,
    ( ~ spl0_670
    | ~ spl0_315
    | ~ spl0_265
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1594,f3177,f3872,f4101,f5807]) ).

fof(f1594,plain,
    ( e2 != op(e5,e4)
    | e0 != op(op(e5,e4),op(e5,e4))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(cnf_transformation,[],[f1286]) ).

fof(f1286,plain,
    ( e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,e4),op(e5,e4))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,e4) ),
    inference(ennf_transformation,[],[f218]) ).

fof(f218,axiom,
    ~ ( e2 = op(e5,e4)
      & e3 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e0 = op(op(e5,e4),op(e5,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax218) ).

fof(f7711,plain,
    ( ~ spl0_158
    | ~ spl0_782
    | ~ spl0_160
    | ~ spl0_537 ),
    inference(avatar_split_clause,[],[f2339,f5144,f3405,f6438,f3397]) ).

fof(f3405,plain,
    ( spl0_160
  <=> e2 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2339,plain,
    ( e5 != op(e0,e1)
    | e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(op(e0,e1),op(e0,e1)) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f738,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,e1) ),
    inference(ennf_transformation,[],[f527]) ).

fof(f527,axiom,
    ~ ( e2 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e3 = op(op(e0,e1),op(e0,e1))
      & e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e5 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax527) ).

fof(f7710,plain,
    ( spl0_994
    | spl0_173
    | spl0_310
    | spl0_995
    | spl0_342
    | spl0_431 ),
    inference(avatar_split_clause,[],[f1728,f4643,f4227,f7707,f4078,f3462,f7703]) ).

fof(f7703,plain,
    ( spl0_994
  <=> e5 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).

fof(f3462,plain,
    ( spl0_173
  <=> e0 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f7707,plain,
    ( spl0_995
  <=> e3 = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).

fof(f1728,plain,
    ( e1 = op(e5,e3)
    | e4 = op(e5,e3)
    | e3 = op(e5,e3)
    | e2 = op(e5,e3)
    | e0 = op(e5,e3)
    | e5 = op(e5,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7701,plain,
    ( ~ spl0_215
    | ~ spl0_154
    | ~ spl0_728
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1836,f3505,f6128,f3378,f3645]) ).

fof(f3645,plain,
    ( spl0_215
  <=> e5 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f3378,plain,
    ( spl0_154
  <=> e2 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1836,plain,
    ( e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(op(e0,e4),op(e0,e4))
    | e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(e0,e4) ),
    inference(cnf_transformation,[],[f1137]) ).

fof(f1137,plain,
    ( e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(e0,e4)
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(op(e0,e4),op(e0,e4)) ),
    inference(ennf_transformation,[],[f215]) ).

fof(f215,axiom,
    ~ ( e5 = op(e0,e4)
      & e3 = op(op(e0,e4),op(e0,e4))
      & e2 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax215) ).

fof(f7700,plain,
    ( ~ spl0_177
    | ~ spl0_331
    | ~ spl0_176
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f2682,f4328,f3475,f4176,f3479]) ).

fof(f3475,plain,
    ( spl0_176
  <=> e1 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f4328,plain,
    ( spl0_364
  <=> e5 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f2682,plain,
    ( e5 != op(e3,e2)
    | e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,e2),op(e3,e2))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(cnf_transformation,[],[f1431]) ).

fof(f1431,plain,
    ( e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(op(e3,e2),op(e3,e2))
    | e5 != op(e3,e2)
    | e1 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ~ ( e5 = op(e3,e2)
      & e1 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e4 = op(op(e3,e2),op(e3,e2))
      & e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f7699,plain,
    spl0_993,
    inference(avatar_split_clause,[],[f2182,f7696]) ).

fof(f7696,plain,
    ( spl0_993
  <=> op(op(e1,e4),e1) = op(e1,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).

fof(f2182,plain,
    op(op(e1,e4),e1) = op(e1,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7694,plain,
    ( ~ spl0_106
    | ~ spl0_500
    | ~ spl0_315
    | ~ spl0_416 ),
    inference(avatar_split_clause,[],[f2613,f4571,f4101,f4968,f3165]) ).

fof(f3165,plain,
    ( spl0_106
  <=> e3 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f4571,plain,
    ( spl0_416
  <=> e0 = op(e5,op(op(e5,e4),op(e5,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f2613,plain,
    ( e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,e4) ),
    inference(cnf_transformation,[],[f1100]) ).

fof(f1100,plain,
    ( e2 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,e4)
    | e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(ennf_transformation,[],[f206]) ).

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

fof(f7693,plain,
    ( ~ spl0_240
    | ~ spl0_421
    | ~ spl0_762
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f1596,f3757,f6330,f4593,f3761]) ).

fof(f1596,plain,
    ( e5 != op(e0,e2)
    | e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e4 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f907]) ).

fof(f907,plain,
    ( e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e5 != op(e0,e2)
    | e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f173]) ).

fof(f173,axiom,
    ~ ( e4 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e5 = op(e0,e2)
      & e3 = op(op(e0,e2),op(e0,e2))
      & e1 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).

fof(f7692,plain,
    ( ~ spl0_29
    | ~ spl0_381
    | ~ spl0_30
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f2596,f4378,f2833,f4407,f2829]) ).

fof(f2829,plain,
    ( spl0_29
  <=> e0 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2833,plain,
    ( spl0_30
  <=> e1 = op(e3,op(op(e3,e4),op(e3,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f4378,plain,
    ( spl0_375
  <=> e5 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f2596,plain,
    ( e5 != op(e3,e4)
    | e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,e4),op(e3,e4))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(cnf_transformation,[],[f995]) ).

fof(f995,plain,
    ( e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(e3,e4)
    | e2 != op(op(e3,e4),op(e3,e4))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ~ ( e1 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e0 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e2 = op(op(e3,e4),op(e3,e4))
      & e5 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(f7691,plain,
    ( ~ spl0_606
    | ~ spl0_540
    | ~ spl0_165
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f2546,f4662,f3426,f5159,f5486]) ).

fof(f2546,plain,
    ( e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(e3,e1)
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,e1),op(e3,e1)) ),
    inference(cnf_transformation,[],[f1257]) ).

fof(f1257,plain,
    ( e5 != op(e3,e1)
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,e1),op(e3,e1)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( e2 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e4 = op(op(e3,e1),op(e3,e1))
      & e5 = op(e3,e1)
      & e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f7690,plain,
    ( ~ spl0_599
    | ~ spl0_525
    | ~ spl0_527
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f1843,f3859,f5095,f5087,f5449]) ).

fof(f5449,plain,
    ( spl0_599
  <=> e1 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).

fof(f1843,plain,
    ( e5 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,e4)
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f1333]) ).

fof(f1333,plain,
    ( e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f451]) ).

fof(f451,axiom,
    ~ ( e1 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e0 = op(e2,e4)
      & e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e5 = op(op(e2,e4),op(e2,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax451) ).

fof(f7689,plain,
    ~ spl0_992,
    inference(avatar_split_clause,[],[f1916,f7686]) ).

fof(f7686,plain,
    ( spl0_992
  <=> op(e5,e1) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).

fof(f1916,plain,
    op(e5,e1) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7684,plain,
    ( ~ spl0_535
    | ~ spl0_159
    | ~ spl0_608
    | ~ spl0_534 ),
    inference(avatar_split_clause,[],[f2700,f5132,f5495,f3401,f5136]) ).

fof(f3401,plain,
    ( spl0_159
  <=> e4 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2700,plain,
    ( e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,e1)
    | e3 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f1177]) ).

fof(f1177,plain,
    ( e5 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,e1)
    | e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f285]) ).

fof(f285,axiom,
    ~ ( e3 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e4 = op(e0,e1)
      & e5 = op(op(e0,e1),op(e0,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax285) ).

fof(f7683,plain,
    ( ~ spl0_635
    | ~ spl0_323
    | ~ spl0_843
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f1855,f5430,f6780,f4141,f5627]) ).

fof(f1855,plain,
    ( e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,e0) ),
    inference(cnf_transformation,[],[f864]) ).

fof(f864,plain,
    ( e1 != op(e5,e0)
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(ennf_transformation,[],[f258]) ).

fof(f258,axiom,
    ~ ( e3 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e1 = op(e5,e0)
      & e4 = op(op(e5,e0),op(e5,e0))
      & e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax258) ).

fof(f7682,plain,
    ( ~ spl0_451
    | ~ spl0_279
    | ~ spl0_14
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f1763,f4777,f2764,f3937,f4738]) ).

fof(f1763,plain,
    ( e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(e3,e0)
    | e2 != op(op(e3,e0),op(e3,e0))
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f961]) ).

fof(f961,plain,
    ( e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(op(e3,e0),op(e3,e0))
    | e5 != op(e3,e0) ),
    inference(ennf_transformation,[],[f148]) ).

fof(f148,axiom,
    ~ ( e5 = op(e3,e0)
      & e4 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e2 = op(op(e3,e0),op(e3,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).

fof(f7681,plain,
    ( ~ spl0_70
    | ~ spl0_48
    | ~ spl0_644
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1797,f3001,f5671,f2912,f3009]) ).

fof(f5671,plain,
    ( spl0_644
  <=> e1 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).

fof(f1797,plain,
    ( e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(e2,e0) ),
    inference(cnf_transformation,[],[f1191]) ).

fof(f1191,plain,
    ( e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(e2,e0)
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f634]) ).

fof(f634,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e3 = op(e2,e0)
      & e1 = op(op(e2,e0),op(e2,e0))
      & e4 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax634) ).

fof(f7680,plain,
    ~ spl0_991,
    inference(avatar_split_clause,[],[f2020,f7677]) ).

fof(f7677,plain,
    ( spl0_991
  <=> op(e0,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).

fof(f2020,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7675,plain,
    ( ~ spl0_143
    | ~ spl0_305
    | ~ spl0_145
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f2619,f4043,f3337,f4055,f3329]) ).

fof(f3329,plain,
    ( spl0_143
  <=> e0 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f4055,plain,
    ( spl0_305
  <=> e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f2619,plain,
    ( e1 != op(e3,e5)
    | e2 != op(op(e3,e5),op(e3,e5))
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(cnf_transformation,[],[f1060]) ).

fof(f1060,plain,
    ( e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(e3,e5)
    | e2 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f588]) ).

fof(f588,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(op(e3,e5),op(e3,e5))
      & e1 = op(e3,e5)
      & e0 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax588) ).

fof(f7674,plain,
    ( ~ spl0_378
    | ~ spl0_682
    | ~ spl0_719
    | ~ spl0_718 ),
    inference(avatar_split_clause,[],[f2490,f6070,f6074,f5873,f4390]) ).

fof(f6074,plain,
    ( spl0_719
  <=> e1 = op(op(e3,e4),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).

fof(f2490,plain,
    ( e2 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(op(e3,e4),op(e3,e4))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4) ),
    inference(cnf_transformation,[],[f803]) ).

fof(f803,plain,
    ( e0 != op(e3,e4)
    | e1 != op(op(e3,e4),op(e3,e4))
    | e2 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(ennf_transformation,[],[f720]) ).

fof(f720,axiom,
    ~ ( e2 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e0 = op(e3,e4)
      & e1 = op(op(e3,e4),op(e3,e4))
      & e5 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax720) ).

fof(f7673,plain,
    ( ~ spl0_472
    | ~ spl0_638
    | ~ spl0_325
    | ~ spl0_704 ),
    inference(avatar_split_clause,[],[f1805,f5994,f4150,f5641,f4839]) ).

fof(f1805,plain,
    ( e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,e2) ),
    inference(cnf_transformation,[],[f1080]) ).

fof(f1080,plain,
    ( e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e5 != op(e4,e2) ),
    inference(ennf_transformation,[],[f430]) ).

fof(f430,axiom,
    ~ ( e0 = op(op(e4,e2),op(e4,e2))
      & e5 = op(e4,e2)
      & e1 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax430) ).

fof(f7672,plain,
    ( ~ spl0_528
    | ~ spl0_391
    | ~ spl0_101
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f2076,f4356,f3144,f4455,f5101]) ).

fof(f3144,plain,
    ( spl0_101
  <=> e0 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2076,plain,
    ( e2 != op(e1,e3)
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f1210]) ).

fof(f1210,plain,
    ( e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3))
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(ennf_transformation,[],[f81]) ).

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

fof(f7671,plain,
    ( ~ spl0_328
    | ~ spl0_704
    | ~ spl0_325
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f2602,f3842,f4150,f5994,f4162]) ).

fof(f3842,plain,
    ( spl0_258
  <=> e5 = op(op(e4,e2),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f2602,plain,
    ( e5 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,e2) ),
    inference(cnf_transformation,[],[f920]) ).

fof(f920,plain,
    ( e0 != op(e4,e2)
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f427]) ).

fof(f427,axiom,
    ~ ( e1 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e0 = op(e4,e2)
      & e5 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax427) ).

fof(f7670,plain,
    ~ spl0_990,
    inference(avatar_split_clause,[],[f1994,f7667]) ).

fof(f7667,plain,
    ( spl0_990
  <=> op(e0,e2) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).

fof(f1994,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7665,plain,
    ( ~ spl0_159
    | ~ spl0_802
    | ~ spl0_157
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f2660,f5136,f3393,f6535,f3401]) ).

fof(f3393,plain,
    ( spl0_157
  <=> e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2660,plain,
    ( e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,e1) ),
    inference(cnf_transformation,[],[f1095]) ).

fof(f1095,plain,
    ( e2 != op(op(e0,e1),op(e0,e1))
    | e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e4 != op(e0,e1) ),
    inference(ennf_transformation,[],[f653]) ).

fof(f653,axiom,
    ~ ( e2 = op(op(e0,e1),op(e0,e1))
      & e4 = op(e0,e1)
      & e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e3 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax653) ).

fof(f7664,plain,
    spl0_989,
    inference(avatar_split_clause,[],[f1489,f7661]) ).

fof(f7661,plain,
    ( spl0_989
  <=> e3 = inv(inv(e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).

fof(f1489,plain,
    e3 = inv(inv(e3)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e2 = inv(inv(e2))
    & e5 = inv(inv(e5))
    & e4 = inv(inv(e4))
    & e0 = inv(inv(e0))
    & e1 = inv(inv(e1))
    & e3 = inv(inv(e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f7659,plain,
    ~ spl0_988,
    inference(avatar_split_clause,[],[f1966,f7656]) ).

fof(f7656,plain,
    ( spl0_988
  <=> op(e1,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).

fof(f1966,plain,
    op(e1,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7654,plain,
    ( ~ spl0_363
    | ~ spl0_714
    | ~ spl0_637
    | ~ spl0_330 ),
    inference(avatar_split_clause,[],[f2557,f4172,f5636,f6049,f4324]) ).

fof(f4172,plain,
    ( spl0_330
  <=> e5 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f2557,plain,
    ( e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(e3,e2)
    | e0 != op(op(e3,e2),op(e3,e2)) ),
    inference(cnf_transformation,[],[f806]) ).

fof(f806,plain,
    ( e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(e3,e2)
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(op(e3,e2),op(e3,e2)) ),
    inference(ennf_transformation,[],[f680]) ).

fof(f680,axiom,
    ~ ( e1 = op(e3,e2)
      & e0 = op(op(e3,e2),op(e3,e2))
      & e5 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e4 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax680) ).

fof(f7653,plain,
    ( ~ spl0_374
    | ~ spl0_31
    | ~ spl0_641
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f2377,f6563,f5657,f2837,f4374]) ).

fof(f2837,plain,
    ( spl0_31
  <=> e5 = op(op(e3,e4),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f5657,plain,
    ( spl0_641
  <=> e0 = op(e3,op(op(e3,e4),op(e3,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).

fof(f6563,plain,
    ( spl0_807
  <=> e2 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).

fof(f2377,plain,
    ( e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,e4) ),
    inference(cnf_transformation,[],[f853]) ).

fof(f853,plain,
    ( e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,e4) ),
    inference(ennf_transformation,[],[f325]) ).

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

fof(f7652,plain,
    ~ spl0_987,
    inference(avatar_split_clause,[],[f1893,f7649]) ).

fof(f7649,plain,
    ( spl0_987
  <=> op(e3,e2) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).

fof(f1893,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7647,plain,
    ~ spl0_986,
    inference(avatar_split_clause,[],[f2008,f7644]) ).

fof(f7644,plain,
    ( spl0_986
  <=> op(e5,e0) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).

fof(f2008,plain,
    op(e5,e0) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7642,plain,
    spl0_985,
    inference(avatar_split_clause,[],[f2525,f7639]) ).

fof(f7639,plain,
    ( spl0_985
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).

fof(f2525,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f3]) ).

fof(f7637,plain,
    spl0_984,
    inference(avatar_split_clause,[],[f2297,f7634]) ).

fof(f7634,plain,
    ( spl0_984
  <=> op(op(e4,e2),e5) = op(e4,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).

fof(f2297,plain,
    op(op(e4,e2),e5) = op(e4,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7632,plain,
    ( ~ spl0_455
    | ~ spl0_417
    | ~ spl0_485
    | ~ spl0_456 ),
    inference(avatar_split_clause,[],[f2466,f4761,f4900,f4576,f4757]) ).

fof(f4576,plain,
    ( spl0_417
  <=> e1 = op(op(e3,e5),op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f2466,plain,
    ( e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,e5)
    | e1 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(cnf_transformation,[],[f979]) ).

fof(f979,plain,
    ( e1 != op(op(e3,e5),op(e3,e5))
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,e5)
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f366]) ).

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

fof(f7631,plain,
    spl0_983,
    inference(avatar_split_clause,[],[f2252,f7628]) ).

fof(f7628,plain,
    ( spl0_983
  <=> op(op(e4,e0),e2) = op(e4,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).

fof(f2252,plain,
    op(op(e4,e0),e2) = op(e4,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7626,plain,
    ( ~ spl0_194
    | ~ spl0_666
    | ~ spl0_228
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2536,f2850,f3706,f5787,f3553]) ).

fof(f3553,plain,
    ( spl0_194
  <=> e0 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f2536,plain,
    ( e4 != op(e2,e5)
    | e3 != op(op(e2,e5),op(e2,e5))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f1167]) ).

fof(f1167,plain,
    ( e4 != op(e2,e5)
    | e3 != op(op(e2,e5),op(e2,e5))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(ennf_transformation,[],[f233]) ).

fof(f233,axiom,
    ~ ( e1 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(op(e2,e5),op(e2,e5))
      & e4 = op(e2,e5)
      & e0 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax233) ).

fof(f7625,plain,
    spl0_982,
    inference(avatar_split_clause,[],[f1511,f7622]) ).

fof(f7622,plain,
    ( spl0_982
  <=> unit = op(inv(e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).

fof(f1511,plain,
    unit = op(inv(e1),e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f7620,plain,
    spl0_981,
    inference(avatar_split_clause,[],[f2295,f7617]) ).

fof(f7617,plain,
    ( spl0_981
  <=> op(op(e0,e3),e1) = op(e0,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).

fof(f2295,plain,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7615,plain,
    ~ spl0_980,
    inference(avatar_split_clause,[],[f1929,f7612]) ).

fof(f7612,plain,
    ( spl0_980
  <=> op(e0,e0) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).

fof(f1929,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7610,plain,
    ( ~ spl0_274
    | ~ spl0_451
    | ~ spl0_16
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f1859,f4777,f2772,f4738,f3914]) ).

fof(f1859,plain,
    ( e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(e3,e0)
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1099]) ).

fof(f1099,plain,
    ( e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(e3,e0)
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(op(e3,e0),op(e3,e0)) ),
    inference(ennf_transformation,[],[f145]) ).

fof(f145,axiom,
    ~ ( e5 = op(op(e3,e0),op(e3,e0))
      & e2 = op(e3,e0)
      & e4 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).

fof(f7609,plain,
    ( ~ spl0_407
    | ~ spl0_551
    | ~ spl0_723
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f2409,f3975,f6099,f5210,f4528]) ).

fof(f2409,plain,
    ( e4 != op(e1,e2)
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(op(e1,e2),op(e1,e2))
    | e5 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f997]) ).

fof(f997,plain,
    ( e4 != op(e1,e2)
    | e0 != op(op(e1,e2),op(e1,e2))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(ennf_transformation,[],[f442]) ).

fof(f442,axiom,
    ~ ( e4 = op(e1,e2)
      & e0 = op(op(e1,e2),op(e1,e2))
      & e5 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax442) ).

fof(f7608,plain,
    ~ spl0_979,
    inference(avatar_split_clause,[],[f1973,f7605]) ).

fof(f7605,plain,
    ( spl0_979
  <=> op(e1,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).

fof(f1973,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7603,plain,
    ( ~ spl0_63
    | ~ spl0_498
    | ~ spl0_549
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2580,f2973,f5201,f4959,f2977]) ).

fof(f2580,plain,
    ( e1 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3))
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f1266]) ).

fof(f1266,plain,
    ( e0 != op(op(e4,e3),op(e4,e3))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e1 != op(e4,e3)
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(ennf_transformation,[],[f320]) ).

fof(f320,axiom,
    ~ ( e0 = op(op(e4,e3),op(e4,e3))
      & e5 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e2 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e1 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax320) ).

fof(f7602,plain,
    spl0_978,
    inference(avatar_split_clause,[],[f2247,f7599]) ).

fof(f7599,plain,
    ( spl0_978
  <=> op(op(e4,e3),e1) = op(e4,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).

fof(f2247,plain,
    op(op(e4,e3),e1) = op(e4,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7597,plain,
    ( ~ spl0_762
    | ~ spl0_652
    | ~ spl0_239
    | ~ spl0_761 ),
    inference(avatar_split_clause,[],[f2338,f6326,f3757,f5714,f6330]) ).

fof(f6326,plain,
    ( spl0_761
  <=> e1 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).

fof(f2338,plain,
    ( e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(e0,e2)
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1122]) ).

fof(f1122,plain,
    ( e5 != op(e0,e2)
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(ennf_transformation,[],[f551]) ).

fof(f551,axiom,
    ~ ( e5 = op(e0,e2)
      & e1 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e4 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e3 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax551) ).

fof(f7596,plain,
    ~ spl0_977,
    inference(avatar_split_clause,[],[f1909,f7593]) ).

fof(f7593,plain,
    ( spl0_977
  <=> op(e3,e1) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).

fof(f1909,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7591,plain,
    ~ spl0_976,
    inference(avatar_split_clause,[],[f1944,f7588]) ).

fof(f7588,plain,
    ( spl0_976
  <=> op(e2,e0) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).

fof(f1944,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7586,plain,
    ( ~ spl0_831
    | ~ spl0_604
    | ~ spl0_448
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1547,f2885,f4724,f5477,f6705]) ).

fof(f1547,plain,
    ( e1 != op(e5,e2)
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(op(e5,e2),op(e5,e2))
    | e4 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f1362]) ).

fof(f1362,plain,
    ( e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(e5,e2)
    | e3 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ~ ( e3 = op(op(e5,e2),op(e5,e2))
      & e4 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e1 = op(e5,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f7585,plain,
    ~ spl0_975,
    inference(avatar_split_clause,[],[f2040,f7582]) ).

fof(f7582,plain,
    ( spl0_975
  <=> op(e0,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).

fof(f2040,plain,
    op(e0,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7580,plain,
    ( ~ spl0_628
    | ~ spl0_160
    | ~ spl0_537
    | ~ spl0_536 ),
    inference(avatar_split_clause,[],[f2071,f5140,f5144,f3405,f5595]) ).

fof(f5140,plain,
    ( spl0_536
  <=> e4 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).

fof(f2071,plain,
    ( e4 != op(op(e0,e1),op(e0,e1))
    | e5 != op(e0,e1)
    | e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f1140]) ).

fof(f1140,plain,
    ( e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,e1)
    | e4 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(ennf_transformation,[],[f407]) ).

fof(f407,axiom,
    ~ ( e2 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e5 = op(e0,e1)
      & e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e4 = op(op(e0,e1),op(e0,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax407) ).

fof(f7579,plain,
    ( ~ spl0_388
    | ~ spl0_578
    | ~ spl0_389
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f2418,f5106,f4445,f5344,f4441]) ).

fof(f4445,plain,
    ( spl0_389
  <=> e1 = op(op(e4,e5),op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f5106,plain,
    ( spl0_529
  <=> e2 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).

fof(f2418,plain,
    ( e2 != op(e4,e5)
    | e1 != op(op(e4,e5),op(e4,e5))
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1212]) ).

fof(f1212,plain,
    ( e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,e5)
    | e1 != op(op(e4,e5),op(e4,e5)) ),
    inference(ennf_transformation,[],[f122]) ).

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

fof(f7578,plain,
    ( ~ spl0_547
    | ~ spl0_821
    | ~ spl0_570
    | ~ spl0_664 ),
    inference(avatar_split_clause,[],[f2388,f5777,f5303,f6648,f5193]) ).

fof(f2388,plain,
    ( e2 != op(e4,e3)
    | e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(op(e4,e3),op(e4,e3))
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f911]) ).

fof(f911,plain,
    ( e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,e3)
    | e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(op(e4,e3),op(e4,e3)) ),
    inference(ennf_transformation,[],[f181]) ).

fof(f181,axiom,
    ~ ( e2 = op(e4,e3)
      & e5 = op(op(e4,e3),op(e4,e3))
      & e0 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax181) ).

fof(f7577,plain,
    ( ~ spl0_687
    | ~ spl0_420
    | ~ spl0_686
    | ~ spl0_761 ),
    inference(avatar_split_clause,[],[f1666,f6326,f5897,f4589,f5901]) ).

fof(f1666,plain,
    ( e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,e2)
    | e4 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1039]) ).

fof(f1039,plain,
    ( e4 != op(op(e0,e2),op(e0,e2))
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(e0,e2) ),
    inference(ennf_transformation,[],[f669]) ).

fof(f669,axiom,
    ~ ( e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e3 = op(e0,e2)
      & e1 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e4 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax669) ).

fof(f7576,plain,
    ( spl0_973
    | spl0_182
    | spl0_153
    | spl0_974
    | spl0_82
    | spl0_215 ),
    inference(avatar_split_clause,[],[f1721,f3645,f3060,f7573,f3374,f3501,f7569]) ).

fof(f7569,plain,
    ( spl0_973
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).

fof(f7573,plain,
    ( spl0_974
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).

fof(f1721,plain,
    ( e5 = op(e0,e4)
    | e2 = op(e0,e4)
    | e0 = op(e0,e4)
    | e1 = op(e0,e4)
    | e3 = op(e0,e4)
    | e4 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7567,plain,
    ( ~ spl0_626
    | ~ spl0_534
    | ~ spl0_159
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1621,f3397,f3401,f5132,f5587]) ).

fof(f5587,plain,
    ( spl0_626
  <=> e5 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).

fof(f1621,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,e1)
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f1242]) ).

fof(f1242,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(e0,e1)
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f299]) ).

fof(f299,axiom,
    ~ ( e3 = op(op(e0,e1),op(e0,e1))
      & e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e5 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e4 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax299) ).

fof(f7566,plain,
    spl0_972,
    inference(avatar_split_clause,[],[f2281,f7563]) ).

fof(f7563,plain,
    ( spl0_972
  <=> op(op(e2,e0),e3) = op(e2,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).

fof(f2281,plain,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7561,plain,
    ( ~ spl0_541
    | ~ spl0_177
    | ~ spl0_695
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1525,f3467,f5947,f3479,f5164]) ).

fof(f5164,plain,
    ( spl0_541
  <=> e1 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).

fof(f1525,plain,
    ( e4 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(op(e3,e2),op(e3,e2)) ),
    inference(cnf_transformation,[],[f1389]) ).

fof(f1389,plain,
    ( e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(e3,e2)
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(op(e3,e2),op(e3,e2)) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e4 = op(e3,e2)
      & e1 = op(op(e3,e2),op(e3,e2))
      & e5 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f7560,plain,
    ~ spl0_971,
    inference(avatar_split_clause,[],[f2443,f7557]) ).

fof(f7557,plain,
    ( spl0_971
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).

fof(f2443,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f10]) ).

fof(f7555,plain,
    ( ~ spl0_8
    | ~ spl0_251
    | ~ spl0_250
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1544,f3320,f3807,f3811,f2738]) ).

fof(f2738,plain,
    ( spl0_8
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3811,plain,
    ( spl0_251
  <=> e0 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f1544,plain,
    ( e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f1252]) ).

fof(f1252,plain,
    ( e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1)
    | e5 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f418]) ).

fof(f418,axiom,
    ~ ( e0 = op(op(e2,e1),op(e2,e1))
      & e3 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e4 = op(e2,e1)
      & e5 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax418) ).

fof(f7554,plain,
    ( ~ spl0_658
    | ~ spl0_655
    | ~ spl0_646
    | ~ spl0_708 ),
    inference(avatar_split_clause,[],[f2643,f6018,f5683,f5732,f5747]) ).

fof(f2643,plain,
    ( e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e4 != op(op(e1,e0),op(e1,e0))
    | e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e2 != op(e1,e0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f757,plain,
    ( e2 != op(e1,e0)
    | e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,e0),op(e1,e0))
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f393]) ).

fof(f393,axiom,
    ~ ( e5 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(op(e1,e0),op(e1,e0))
      & e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e2 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax393) ).

fof(f7553,plain,
    ( ~ spl0_442
    | ~ spl0_70
    | ~ spl0_216
    | ~ spl0_644 ),
    inference(avatar_split_clause,[],[f2686,f5671,f3650,f3009,f4695]) ).

fof(f4695,plain,
    ( spl0_442
  <=> e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).

fof(f3650,plain,
    ( spl0_216
  <=> e5 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f2686,plain,
    ( e1 != op(op(e2,e0),op(e2,e0))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(e2,e0)
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f988]) ).

fof(f988,plain,
    ( e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,e0)
    | e1 != op(op(e2,e0),op(e2,e0))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(ennf_transformation,[],[f514]) ).

fof(f514,axiom,
    ~ ( e1 = op(op(e2,e0),op(e2,e0))
      & e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e5 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e3 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax514) ).

fof(f7552,plain,
    ( ~ spl0_467
    | ~ spl0_237
    | ~ spl0_238
    | ~ spl0_751 ),
    inference(avatar_split_clause,[],[f2503,f6263,f3753,f3749,f4818]) ).

fof(f4818,plain,
    ( spl0_467
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).

fof(f3753,plain,
    ( spl0_238
  <=> e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f2503,plain,
    ( e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(op(e0,e2),op(e0,e2))
    | e4 != op(e0,e2) ),
    inference(cnf_transformation,[],[f1276]) ).

fof(f1276,plain,
    ( e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e4 != op(e0,e2)
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f443]) ).

fof(f443,axiom,
    ~ ( e5 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e4 = op(e0,e2)
      & e1 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax443) ).

fof(f7551,plain,
    spl0_970,
    inference(avatar_split_clause,[],[f2137,f7548]) ).

fof(f7548,plain,
    ( spl0_970
  <=> op(op(e2,e2),e4) = op(e2,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).

fof(f2137,plain,
    op(op(e2,e2),e4) = op(e2,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7546,plain,
    spl0_969,
    inference(avatar_split_clause,[],[f2530,f7543]) ).

fof(f7543,plain,
    ( spl0_969
  <=> e0 = op(unit,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).

fof(f2530,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f7541,plain,
    spl0_968,
    inference(avatar_split_clause,[],[f1491,f7538]) ).

fof(f7538,plain,
    ( spl0_968
  <=> e0 = inv(inv(e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).

fof(f1491,plain,
    e0 = inv(inv(e0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f7536,plain,
    ( ~ spl0_761
    | ~ spl0_238
    | ~ spl0_419
    | ~ spl0_467 ),
    inference(avatar_split_clause,[],[f1613,f4818,f4585,f3753,f6326]) ).

fof(f4585,plain,
    ( spl0_419
  <=> e5 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f1613,plain,
    ( e4 != op(e0,e2)
    | e5 != op(op(e0,e2),op(e0,e2))
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f749]) ).

fof(f749,plain,
    ( e4 != op(e0,e2)
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e5 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(ennf_transformation,[],[f429]) ).

fof(f429,axiom,
    ~ ( e5 = op(op(e0,e2),op(e0,e2))
      & e1 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e4 = op(e0,e2)
      & e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax429) ).

fof(f7535,plain,
    ( ~ spl0_443
    | ~ spl0_35
    | ~ spl0_229
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f2549,f3557,f3710,f2854,f4700]) ).

fof(f4700,plain,
    ( spl0_443
  <=> e3 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).

fof(f3710,plain,
    ( spl0_229
  <=> e1 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f2549,plain,
    ( e4 != op(op(e2,e5),op(e2,e5))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,e5) ),
    inference(cnf_transformation,[],[f734]) ).

fof(f734,plain,
    ( e3 != op(e2,e5)
    | e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,axiom,
    ~ ( e0 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(e2,e5)
      & e4 = op(op(e2,e5),op(e2,e5))
      & e1 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).

fof(f7534,plain,
    ~ spl0_967,
    inference(avatar_split_clause,[],[f1927,f7531]) ).

fof(f7531,plain,
    ( spl0_967
  <=> op(e1,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).

fof(f1927,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7529,plain,
    ~ spl0_966,
    inference(avatar_split_clause,[],[f2014,f7526]) ).

fof(f7526,plain,
    ( spl0_966
  <=> op(e0,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).

fof(f2014,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f7524,plain,
    ( ~ spl0_639
    | ~ spl0_326
    | ~ spl0_818
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f1626,f4162,f6632,f4154,f5645]) ).

fof(f1626,plain,
    ( e0 != op(e4,e2)
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,e2),op(e4,e2))
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f1298]) ).

fof(f1298,plain,
    ( e0 != op(e4,e2)
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f174]) ).

fof(f174,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e3 = op(op(e4,e2),op(e4,e2))
      & e5 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e0 = op(e4,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax174) ).

fof(f7523,plain,
    ( ~ spl0_729
    | ~ spl0_187
    | ~ spl0_202
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2583,f3519,f3588,f3523,f6133]) ).

fof(f3523,plain,
    ( spl0_187
  <=> e3 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f3588,plain,
    ( spl0_202
  <=> e1 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f2583,plain,
    ( e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(e4,e0)
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f1346]) ).

fof(f1346,plain,
    ( e5 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,e0)
    | e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f379]) ).

fof(f379,axiom,
    ~ ( e1 = op(e4,e0)
      & e2 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e5 = op(op(e4,e0),op(e4,e0))
      & e3 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax379) ).

fof(f7522,plain,
    ( ~ spl0_101
    | ~ spl0_505
    | ~ spl0_528
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2691,f3140,f5101,f4992,f3144]) ).

fof(f3140,plain,
    ( spl0_100
  <=> e5 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2691,plain,
    ( e5 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f1093]) ).

fof(f1093,plain,
    ( e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ~ ( e5 = op(e1,e3)
      & e0 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e4 = op(op(e1,e3),op(e1,e3))
      & e2 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(f7521,plain,
    ( ~ spl0_133
    | ~ spl0_591
    | ~ spl0_569
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f2558,f3820,f5298,f5409,f3282]) ).

fof(f2558,plain,
    ( e5 != op(e1,e0)
    | e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e2 != op(op(e1,e0),op(e1,e0))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f747]) ).

fof(f747,plain,
    ( e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e5 != op(e1,e0)
    | e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e2 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f509]) ).

fof(f509,axiom,
    ~ ( e4 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e2 = op(op(e1,e0),op(e1,e0))
      & e5 = op(e1,e0)
      & e3 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax509) ).

fof(f7520,plain,
    spl0_965,
    inference(avatar_split_clause,[],[f2304,f7517]) ).

fof(f7517,plain,
    ( spl0_965
  <=> op(op(e4,e5),e2) = op(e4,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).

fof(f2304,plain,
    op(op(e4,e5),e2) = op(e4,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7515,plain,
    ~ spl0_964,
    inference(avatar_split_clause,[],[f2016,f7512]) ).

fof(f7512,plain,
    ( spl0_964
  <=> op(e3,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).

fof(f2016,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7510,plain,
    ( ~ spl0_718
    | ~ spl0_31
    | ~ spl0_374
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1813,f2829,f4374,f2837,f6070]) ).

fof(f1813,plain,
    ( e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(e3,e4)
    | e5 != op(op(e3,e4),op(e3,e4))
    | e2 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f898]) ).

fof(f898,plain,
    ( e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,e4) ),
    inference(ennf_transformation,[],[f91]) ).

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

fof(f7509,plain,
    ( ~ spl0_655
    | ~ spl0_646
    | ~ spl0_134
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f1783,f5294,f3286,f5683,f5732]) ).

fof(f1783,plain,
    ( e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(e1,e0)
    | e4 != op(op(e1,e0),op(e1,e0))
    | e5 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(cnf_transformation,[],[f762]) ).

fof(f762,plain,
    ( e3 != op(e1,e0)
    | e4 != op(op(e1,e0),op(e1,e0))
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e5 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f273]) ).

fof(f273,axiom,
    ~ ( e3 = op(e1,e0)
      & e2 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e5 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(op(e1,e0),op(e1,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax273) ).

fof(f7508,plain,
    ( ~ spl0_435
    | ~ spl0_162
    | ~ spl0_434
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f1758,f3579,f4658,f3414,f4662]) ).

fof(f3414,plain,
    ( spl0_162
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1758,plain,
    ( e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,e1)
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f1404]) ).

fof(f1404,plain,
    ( e4 != op(e3,e1)
    | e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(op(e3,e1),op(e3,e1)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ~ ( e2 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,e1)
      & e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e5 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f7507,plain,
    ~ spl0_963,
    inference(avatar_split_clause,[],[f1886,f7504]) ).

fof(f7504,plain,
    ( spl0_963
  <=> op(e4,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).

fof(f1886,plain,
    op(e4,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f7502,plain,
    ( ~ spl0_807
    | ~ spl0_380
    | ~ spl0_754
    | ~ spl0_374 ),
    inference(avatar_split_clause,[],[f2064,f4374,f6283,f4403,f6563]) ).

fof(f2064,plain,
    ( e1 != op(e3,e4)
    | e0 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(cnf_transformation,[],[f1251]) ).

fof(f1251,plain,
    ( e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(e3,e4)
    | e0 != op(op(e3,e4),op(e3,e4))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(ennf_transformation,[],[f344]) ).

fof(f344,axiom,
    ~ ( e5 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e0 = op(op(e3,e4),op(e3,e4))
      & e1 = op(e3,e4)
      & e2 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax344) ).

fof(f7501,plain,
    ( ~ spl0_197
    | ~ spl0_47
    | ~ spl0_230
    | ~ spl0_425 ),
    inference(avatar_split_clause,[],[f1837,f4613,f3715,f2907,f3566]) ).

fof(f1837,plain,
    ( e0 != op(e1,e5)
    | e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(op(e1,e5),op(e1,e5)) ),
    inference(cnf_transformation,[],[f1308]) ).

fof(f1308,plain,
    ( e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e2 != op(op(e1,e5),op(e1,e5))
    | e0 != op(e1,e5)
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    inference(ennf_transformation,[],[f487]) ).

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

fof(f7500,plain,
    spl0_962,
    inference(avatar_split_clause,[],[f2258,f7497]) ).

fof(f7497,plain,
    ( spl0_962
  <=> op(op(e4,e0),e4) = op(e4,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).

fof(f2258,plain,
    op(op(e4,e0),e4) = op(e4,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7495,plain,
    spl0_961,
    inference(avatar_split_clause,[],[f2192,f7492]) ).

fof(f7492,plain,
    ( spl0_961
  <=> op(op(e5,e5),e1) = op(e5,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).

fof(f2192,plain,
    op(op(e5,e5),e1) = op(e5,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7490,plain,
    spl0_960,
    inference(avatar_split_clause,[],[f2287,f7487]) ).

fof(f7487,plain,
    ( spl0_960
  <=> op(op(e3,e3),e0) = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).

fof(f2287,plain,
    op(op(e3,e3),e0) = op(e3,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7485,plain,
    spl0_959,
    inference(avatar_split_clause,[],[f2212,f7482]) ).

fof(f7482,plain,
    ( spl0_959
  <=> op(op(e5,e5),e4) = op(e5,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).

fof(f2212,plain,
    op(op(e5,e5),e4) = op(e5,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7480,plain,
    ( ~ spl0_635
    | ~ spl0_596
    | ~ spl0_752
    | ~ spl0_595 ),
    inference(avatar_split_clause,[],[f2684,f5430,f6268,f5434,f5627]) ).

fof(f2684,plain,
    ( e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,e0) ),
    inference(cnf_transformation,[],[f1193]) ).

fof(f1193,plain,
    ( e2 != op(op(e5,e0),op(e5,e0))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,e0) ),
    inference(ennf_transformation,[],[f504]) ).

fof(f504,axiom,
    ~ ( e2 = op(op(e5,e0),op(e5,e0))
      & e1 = op(e5,e0)
      & e4 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e3 = op(e5,op(op(e5,e0),op(e5,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax504) ).

fof(f7479,plain,
    spl0_958,
    inference(avatar_split_clause,[],[f2173,f7476]) ).

fof(f7476,plain,
    ( spl0_958
  <=> op(op(e0,e1),e5) = op(e0,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).

fof(f2173,plain,
    op(op(e0,e1),e5) = op(e0,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7474,plain,
    ( ~ spl0_94
    | ~ spl0_368
    | ~ spl0_93
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2474,f4060,f3110,f4346,f3114]) ).

fof(f4346,plain,
    ( spl0_368
  <=> e1 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f2474,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f1230]) ).

fof(f1230,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e4 != op(e2,e3)
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(ennf_transformation,[],[f694]) ).

fof(f694,axiom,
    ~ ( e1 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e5 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e4 = op(e2,e3)
      & e0 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax694) ).

fof(f7473,plain,
    ( ~ spl0_423
    | ~ spl0_353
    | ~ spl0_495
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f1638,f5509,f4944,f4278,f4604]) ).

fof(f4604,plain,
    ( spl0_423
  <=> e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f4278,plain,
    ( spl0_353
  <=> e2 = op(op(e0,e5),op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f4944,plain,
    ( spl0_495
  <=> e3 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).

fof(f1638,plain,
    ( e1 != op(e0,e5)
    | e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,e5),op(e0,e5))
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(cnf_transformation,[],[f1287]) ).

fof(f1287,plain,
    ( e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,e5)
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(ennf_transformation,[],[f609]) ).

fof(f609,axiom,
    ~ ( e3 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(op(e0,e5),op(e0,e5))
      & e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e1 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax609) ).

fof(f7472,plain,
    ( ~ spl0_546
    | ~ spl0_729
    | ~ spl0_187
    | ~ spl0_592 ),
    inference(avatar_split_clause,[],[f1819,f5415,f3523,f6133,f5188]) ).

fof(f5188,plain,
    ( spl0_546
  <=> e1 = op(e4,op(op(e4,e0),op(e4,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).

fof(f1819,plain,
    ( e2 != op(e4,e0)
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f807]) ).

fof(f807,plain,
    ( e5 != op(op(e4,e0),op(e4,e0))
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,e0)
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f373]) ).

fof(f373,axiom,
    ~ ( e5 = op(op(e4,e0),op(e4,e0))
      & e2 = op(e4,e0)
      & e1 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax373) ).

fof(f7471,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_378
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f1527,f6563,f4390,f2837,f2833]) ).

fof(f1527,plain,
    ( e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4)
    | e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f1085]) ).

fof(f1085,plain,
    ( e0 != op(e3,e4)
    | e5 != op(op(e3,e4),op(e3,e4))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(ennf_transformation,[],[f331]) ).

fof(f331,axiom,
    ~ ( e2 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e0 = op(e3,e4)
      & e1 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e5 = op(op(e3,e4),op(e3,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax331) ).

fof(f7470,plain,
    ( ~ spl0_687
    | ~ spl0_239
    | ~ spl0_238
    | ~ spl0_761 ),
    inference(avatar_split_clause,[],[f1768,f6326,f3753,f3757,f5901]) ).

fof(f1768,plain,
    ( e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e5 != op(e0,e2)
    | e4 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1299]) ).

fof(f1299,plain,
    ( e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,e2) ),
    inference(ennf_transformation,[],[f431]) ).

fof(f431,axiom,
    ~ ( e5 = op(e0,e2)
      & e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e1 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e4 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax431) ).

fof(f7469,plain,
    ( ~ spl0_281
    | ~ spl0_280
    | ~ spl0_76
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1832,f3320,f3035,f3942,f3946]) ).

fof(f3946,plain,
    ( spl0_281
  <=> e5 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f3035,plain,
    ( spl0_76
  <=> e0 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1832,plain,
    ( e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e4 != op(op(e2,e1),op(e2,e1))
    | e5 != op(e2,e1) ),
    inference(cnf_transformation,[],[f1108]) ).

fof(f1108,plain,
    ( e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(e2,e1)
    | e4 != op(op(e2,e1),op(e2,e1))
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(ennf_transformation,[],[f401]) ).

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

fof(f7468,plain,
    ~ spl0_957,
    inference(avatar_split_clause,[],[f1954,f7465]) ).

fof(f7465,plain,
    ( spl0_957
  <=> op(e1,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).

fof(f1954,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7463,plain,
    ( ~ spl0_652
    | ~ spl0_761
    | ~ spl0_420
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f2641,f4585,f4589,f6326,f5714]) ).

fof(f2641,plain,
    ( e5 != op(op(e0,e2),op(e0,e2))
    | e3 != op(e0,e2)
    | e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(cnf_transformation,[],[f812]) ).

fof(f812,plain,
    ( e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(e0,e2)
    | e5 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f549]) ).

fof(f549,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e3 = op(e0,e2)
      & e5 = op(op(e0,e2),op(e0,e2))
      & e1 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax549) ).

fof(f7462,plain,
    ( ~ spl0_160
    | ~ spl0_782
    | ~ spl0_608
    | ~ spl0_609 ),
    inference(avatar_split_clause,[],[f2701,f5499,f5495,f6438,f3405]) ).

fof(f5499,plain,
    ( spl0_609
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).

fof(f2701,plain,
    ( e3 != op(e0,e1)
    | e5 != op(op(e0,e1),op(e0,e1))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f1221]) ).

fof(f1221,plain,
    ( e3 != op(e0,e1)
    | e5 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f525]) ).

fof(f525,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e2 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e5 = op(op(e0,e1),op(e0,e1))
      & e3 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax525) ).

fof(f7461,plain,
    ( ~ spl0_217
    | ~ spl0_135
    | ~ spl0_48
    | ~ spl0_613 ),
    inference(avatar_split_clause,[],[f2429,f5521,f2912,f3291,f3654]) ).

fof(f2429,plain,
    ( e5 != op(e2,e0)
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,e0),op(e2,e0))
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f897]) ).

fof(f897,plain,
    ( e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,e0)
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f149]) ).

fof(f149,axiom,
    ~ ( e4 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e3 = op(op(e2,e0),op(e2,e0))
      & e5 = op(e2,e0)
      & e1 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).

fof(f7460,plain,
    ( ~ spl0_28
    | ~ spl0_754
    | ~ spl0_682
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1526,f2833,f5873,f6283,f2825]) ).

fof(f2825,plain,
    ( spl0_28
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1526,plain,
    ( e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(op(e3,e4),op(e3,e4))
    | e2 != op(e3,e4) ),
    inference(cnf_transformation,[],[f958]) ).

fof(f958,plain,
    ( e2 != op(e3,e4)
    | e0 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(ennf_transformation,[],[f716]) ).

fof(f716,axiom,
    ~ ( e0 = op(op(e3,e4),op(e3,e4))
      & e1 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e5 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e2 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax716) ).

fof(f7459,plain,
    ~ spl0_956,
    inference(avatar_split_clause,[],[f2015,f7456]) ).

fof(f7456,plain,
    ( spl0_956
  <=> op(e3,e1) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).

fof(f2015,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7454,plain,
    ( ~ spl0_402
    | ~ spl0_92
    | ~ spl0_307
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1820,f3110,f4064,f3106,f4505]) ).

fof(f4505,plain,
    ( spl0_402
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f3106,plain,
    ( spl0_92
  <=> e1 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f4064,plain,
    ( spl0_307
  <=> e4 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f1820,plain,
    ( e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f1249]) ).

fof(f1249,plain,
    ( e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,e3)
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f702]) ).

fof(f702,axiom,
    ~ ( e1 = op(op(e2,e3),op(e2,e3))
      & e0 = op(e2,e3)
      & e4 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e5 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax702) ).

fof(f7453,plain,
    ( ~ spl0_498
    | ~ spl0_318
    | ~ spl0_570
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f2496,f4963,f5303,f4115,f4959]) ).

fof(f2496,plain,
    ( e1 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(e4,e3)
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f799]) ).

fof(f799,plain,
    ( e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(op(e4,e3),op(e4,e3))
    | e5 != op(e4,e3)
    | e0 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f304]) ).

fof(f304,axiom,
    ~ ( e1 = op(op(e4,e3),op(e4,e3))
      & e2 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e0 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e5 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax304) ).

fof(f7452,plain,
    ( ~ spl0_401
    | ~ spl0_94
    | ~ spl0_824
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1473,f3118,f6663,f3114,f4501]) ).

fof(f4501,plain,
    ( spl0_401
  <=> e5 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f1473,plain,
    ( e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(e2,e3)
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f1096]) ).

fof(f1096,plain,
    ( e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(e2,e3) ),
    inference(ennf_transformation,[],[f183]) ).

fof(f183,axiom,
    ~ ( e4 = op(e2,e3)
      & e1 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e0 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e5 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax183) ).

fof(f7451,plain,
    ( ~ spl0_112
    | ~ spl0_206
    | ~ spl0_477
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2539,f3614,f4862,f3606,f3191]) ).

fof(f3191,plain,
    ( spl0_112
  <=> e3 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3606,plain,
    ( spl0_206
  <=> e4 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f2539,plain,
    ( e2 != op(e5,e1)
    | e0 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(cnf_transformation,[],[f1410]) ).

fof(f1410,plain,
    ( e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,e1)
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(op(e5,e1),op(e5,e1)) ),
    inference(ennf_transformation,[],[f410]) ).

fof(f410,axiom,
    ~ ( e2 = op(e5,e1)
      & e0 = op(op(e5,e1),op(e5,e1))
      & e4 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e3 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax410) ).

fof(f7450,plain,
    ~ spl0_955,
    inference(avatar_split_clause,[],[f1986,f7447]) ).

fof(f7447,plain,
    ( spl0_955
  <=> op(e0,e1) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).

fof(f1986,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7445,plain,
    ( ~ spl0_342
    | ~ spl0_689
    | ~ spl0_343
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2387,f3458,f4231,f5913,f4227]) ).

fof(f5913,plain,
    ( spl0_689
  <=> e2 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).

fof(f2387,plain,
    ( e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e0 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(e5,e3) ),
    inference(cnf_transformation,[],[f1139]) ).

fof(f1139,plain,
    ( e4 != op(e5,e3)
    | e0 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f188]) ).

fof(f188,axiom,
    ~ ( e0 = op(op(e5,e3),op(e5,e3))
      & e1 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(e5,e3)
      & e2 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax188) ).

fof(f7444,plain,
    ( ~ spl0_229
    | ~ spl0_539
    | ~ spl0_34
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f2535,f3549,f2850,f5154,f3710]) ).

fof(f2535,plain,
    ( e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e4 != op(e2,e5)
    | e0 != op(op(e2,e5),op(e2,e5))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f850]) ).

fof(f850,plain,
    ( e0 != op(op(e2,e5),op(e2,e5))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(e2,e5) ),
    inference(ennf_transformation,[],[f478]) ).

fof(f478,axiom,
    ~ ( e3 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e1 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e0 = op(op(e2,e5),op(e2,e5))
      & e4 = op(e2,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax478) ).

fof(f7443,plain,
    ( ~ spl0_442
    | ~ spl0_70
    | ~ spl0_51
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1455,f3005,f2924,f3009,f4695]) ).

fof(f1455,plain,
    ( e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e3 != op(e2,e0)
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f1237]) ).

fof(f1237,plain,
    ( e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e3 != op(e2,e0)
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(ennf_transformation,[],[f495]) ).

fof(f495,axiom,
    ~ ( e3 = op(e2,e0)
      & e5 = op(op(e2,e0),op(e2,e0))
      & e1 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax495) ).

fof(f7442,plain,
    ( ~ spl0_106
    | ~ spl0_315
    | ~ spl0_314
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f1584,f3872,f4097,f4101,f3165]) ).

fof(f1584,plain,
    ( e0 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(e5,e4) ),
    inference(cnf_transformation,[],[f1319]) ).

fof(f1319,plain,
    ( e0 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,e4)
    | e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(ennf_transformation,[],[f212]) ).

fof(f212,axiom,
    ~ ( e2 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e3 = op(e5,e4)
      & e0 = op(op(e5,e4),op(e5,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax212) ).

fof(f7441,plain,
    ( ~ spl0_240
    | ~ spl0_468
    | ~ spl0_238
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f2386,f4585,f3753,f4822,f3761]) ).

fof(f2386,plain,
    ( e5 != op(op(e0,e2),op(e0,e2))
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,e2)
    | e4 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f877]) ).

fof(f877,plain,
    ( e1 != op(e0,e2)
    | e5 != op(op(e0,e2),op(e0,e2))
    | e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(ennf_transformation,[],[f435]) ).

fof(f435,axiom,
    ~ ( e5 = op(op(e0,e2),op(e0,e2))
      & e4 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e1 = op(e0,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax435) ).

fof(f7440,plain,
    ( ~ spl0_402
    | ~ spl0_824
    | ~ spl0_383
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f2664,f4483,f4417,f6663,f4505]) ).

fof(f2664,plain,
    ( e4 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f743]) ).

fof(f743,plain,
    ( e0 != op(e2,e3)
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3))) ),
    inference(ennf_transformation,[],[f199]) ).

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

fof(f7439,plain,
    ~ spl0_954,
    inference(avatar_split_clause,[],[f1611,f7436]) ).

fof(f7436,plain,
    ( spl0_954
  <=> inv(e2) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).

fof(f1611,plain,
    inv(e2) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f7434,plain,
    spl0_953,
    inference(avatar_split_clause,[],[f2178,f7431]) ).

fof(f7431,plain,
    ( spl0_953
  <=> op(op(e1,e5),e0) = op(e1,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).

fof(f2178,plain,
    op(op(e1,e5),e0) = op(e1,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7429,plain,
    ( ~ spl0_378
    | ~ spl0_381
    | ~ spl0_682
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1700,f2833,f5873,f4407,f4390]) ).

fof(f1700,plain,
    ( e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(op(e3,e4),op(e3,e4))
    | e0 != op(e3,e4) ),
    inference(cnf_transformation,[],[f1448]) ).

fof(f1448,plain,
    ( e0 != op(e3,e4)
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f714]) ).

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

fof(f7428,plain,
    ( ~ spl0_783
    | ~ spl0_923
    | ~ spl0_767
    | ~ spl0_705 ),
    inference(avatar_split_clause,[],[f1484,f5999,f6357,f7239,f6443]) ).

fof(f1484,plain,
    ( e5 != op(e4,e1)
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f1306]) ).

fof(f1306,plain,
    ( e5 != op(e4,e1)
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f280]) ).

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

fof(f7427,plain,
    ( ~ spl0_93
    | ~ spl0_397
    | ~ spl0_368
    | ~ spl0_402 ),
    inference(avatar_split_clause,[],[f1478,f4505,f4346,f4483,f3110]) ).

fof(f1478,plain,
    ( e0 != op(e2,e3)
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,e3),op(e2,e3))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f736]) ).

fof(f736,plain,
    ( e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3) ),
    inference(ennf_transformation,[],[f691]) ).

fof(f691,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e0 = op(e2,e3)
      & e1 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e4 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax691) ).

fof(f7426,plain,
    ( spl0_387
    | spl0_951
    | spl0_952
    | spl0_545
    | spl0_529
    | spl0_24 ),
    inference(avatar_split_clause,[],[f1730,f2808,f5106,f5183,f7423,f7419,f4437]) ).

fof(f7419,plain,
    ( spl0_951
  <=> e4 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).

fof(f7423,plain,
    ( spl0_952
  <=> e5 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).

fof(f2808,plain,
    ( spl0_24
  <=> e3 = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1730,plain,
    ( e3 = op(e4,e5)
    | e2 = op(e4,e5)
    | e1 = op(e4,e5)
    | e5 = op(e4,e5)
    | e4 = op(e4,e5)
    | e0 = op(e4,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7417,plain,
    spl0_950,
    inference(avatar_split_clause,[],[f2166,f7414]) ).

fof(f7414,plain,
    ( spl0_950
  <=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).

fof(f2166,plain,
    op(op(e1,e2),e2) = op(e1,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7412,plain,
    ~ spl0_949,
    inference(avatar_split_clause,[],[f1868,f7409]) ).

fof(f7409,plain,
    ( spl0_949
  <=> op(e0,e2) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).

fof(f1868,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7407,plain,
    ~ spl0_948,
    inference(avatar_split_clause,[],[f2019,f7404]) ).

fof(f7404,plain,
    ( spl0_948
  <=> op(e1,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).

fof(f2019,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7402,plain,
    ( ~ spl0_533
    | ~ spl0_456
    | ~ spl0_304
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2649,f3333,f4051,f4761,f5127]) ).

fof(f4051,plain,
    ( spl0_304
  <=> e0 = op(op(e3,e5),op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f2649,plain,
    ( e4 != op(e3,e5)
    | e0 != op(op(e3,e5),op(e3,e5))
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(cnf_transformation,[],[f1278]) ).

fof(f1278,plain,
    ( e0 != op(op(e3,e5),op(e3,e5))
    | e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(e3,e5)
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f358]) ).

fof(f358,axiom,
    ~ ( e4 = op(e3,e5)
      & e0 = op(op(e3,e5),op(e3,e5))
      & e2 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e1 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax358) ).

fof(f7401,plain,
    ( ~ spl0_576
    | ~ spl0_113
    | ~ spl0_478
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f2346,f5329,f4866,f3195,f5333]) ).

fof(f3195,plain,
    ( spl0_113
  <=> e0 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f4866,plain,
    ( spl0_478
  <=> e2 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).

fof(f2346,plain,
    ( e3 != op(e5,e1)
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1)) ),
    inference(cnf_transformation,[],[f1428]) ).

fof(f1428,plain,
    ( e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(e5,e1)
    | e4 != op(op(e5,e1),op(e5,e1))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(ennf_transformation,[],[f276]) ).

fof(f276,axiom,
    ~ ( e4 = op(op(e5,e1),op(e5,e1))
      & e0 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e3 = op(e5,e1)
      & e2 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax276) ).

fof(f7400,plain,
    ~ spl0_947,
    inference(avatar_split_clause,[],[f1984,f7397]) ).

fof(f7397,plain,
    ( spl0_947
  <=> op(e1,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).

fof(f1984,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f7395,plain,
    ~ spl0_946,
    inference(avatar_split_clause,[],[f1923,f7392]) ).

fof(f7392,plain,
    ( spl0_946
  <=> op(e3,e0) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).

fof(f1923,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7390,plain,
    spl0_945,
    inference(avatar_split_clause,[],[f2130,f7387]) ).

fof(f7387,plain,
    ( spl0_945
  <=> op(op(e4,e0),e5) = op(e4,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).

fof(f2130,plain,
    op(op(e4,e0),e5) = op(e4,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7385,plain,
    ( ~ spl0_159
    | ~ spl0_160
    | ~ spl0_628
    | ~ spl0_608 ),
    inference(avatar_split_clause,[],[f2105,f5495,f5595,f3405,f3401]) ).

fof(f2105,plain,
    ( e5 != op(op(e0,e1),op(e0,e1))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(e0,e1) ),
    inference(cnf_transformation,[],[f867]) ).

fof(f867,plain,
    ( e5 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,e1)
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f405,axiom,
    ~ ( e4 = op(e0,e1)
      & e5 = op(op(e0,e1),op(e0,e1))
      & e2 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax405) ).

fof(f7384,plain,
    ( ~ spl0_357
    | ~ spl0_410
    | ~ spl0_831
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f1862,f5279,f6705,f4541,f4296]) ).

fof(f1862,plain,
    ( e0 != op(op(e5,e2),op(e5,e2))
    | e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,e2) ),
    inference(cnf_transformation,[],[f1373]) ).

fof(f1373,plain,
    ( e3 != op(e5,e2)
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f170]) ).

fof(f170,axiom,
    ~ ( e0 = op(op(e5,e2),op(e5,e2))
      & e1 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e3 = op(e5,e2)
      & e4 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).

fof(f7383,plain,
    ~ spl0_944,
    inference(avatar_split_clause,[],[f2009,f7380]) ).

fof(f7380,plain,
    ( spl0_944
  <=> op(e4,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).

fof(f2009,plain,
    op(e4,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7378,plain,
    ( ~ spl0_297
    | ~ spl0_299
    | ~ spl0_587
    | ~ spl0_705 ),
    inference(avatar_split_clause,[],[f2374,f5999,f5389,f4029,f4021]) ).

fof(f4029,plain,
    ( spl0_299
  <=> e3 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f2374,plain,
    ( e5 != op(e4,e1)
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f1143]) ).

fof(f1143,plain,
    ( e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e5 != op(e4,e1)
    | e3 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e2 = op(op(e4,e1),op(e4,e1))
      & e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e5 = op(e4,e1)
      & e3 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f7377,plain,
    ( ~ spl0_71
    | ~ spl0_359
    | ~ spl0_613
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2345,f3654,f5521,f4305,f3013]) ).

fof(f3013,plain,
    ( spl0_71
  <=> e4 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2345,plain,
    ( e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,e0)
    | e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e4 != op(op(e2,e0),op(e2,e0)) ),
    inference(cnf_transformation,[],[f946]) ).

fof(f946,plain,
    ( e4 != op(op(e2,e0),op(e2,e0))
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,e0)
    | e3 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(ennf_transformation,[],[f143]) ).

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

fof(f7376,plain,
    ( ~ spl0_637
    | ~ spl0_364
    | ~ spl0_177
    | ~ spl0_541 ),
    inference(avatar_split_clause,[],[f2538,f5164,f3479,f4328,f5636]) ).

fof(f2538,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(e3,e2)
    | e4 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f846]) ).

fof(f846,plain,
    ( e5 != op(e3,e2)
    | e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(op(e3,e2),op(e3,e2)) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ~ ( e5 = op(e3,e2)
      & e1 = op(op(e3,e2),op(e3,e2))
      & e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e4 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f7375,plain,
    spl0_943,
    inference(avatar_split_clause,[],[f2185,f7372]) ).

fof(f7372,plain,
    ( spl0_943
  <=> op(op(e0,e5),e1) = op(e0,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).

fof(f2185,plain,
    op(op(e0,e5),e1) = op(e0,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7370,plain,
    ( ~ spl0_802
    | ~ spl0_628
    | ~ spl0_537
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f1830,f5491,f5144,f5595,f6535]) ).

fof(f1830,plain,
    ( e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(e0,e1)
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(op(e0,e1),op(e0,e1)) ),
    inference(cnf_transformation,[],[f801]) ).

fof(f801,plain,
    ( e5 != op(e0,e1)
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,e1),op(e0,e1))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f413]) ).

fof(f413,axiom,
    ~ ( e2 = op(op(e0,e1),op(e0,e1))
      & e4 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e5 = op(e0,e1)
      & e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax413) ).

fof(f7369,plain,
    ( ~ spl0_117
    | ~ spl0_595
    | ~ spl0_633
    | ~ spl0_843 ),
    inference(avatar_split_clause,[],[f2054,f6780,f5619,f5430,f3212]) ).

fof(f5619,plain,
    ( spl0_633
  <=> e2 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).

fof(f2054,plain,
    ( e4 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,e0)
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(cnf_transformation,[],[f1105]) ).

fof(f1105,plain,
    ( e4 != op(op(e5,e0),op(e5,e0))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(e5,e0)
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f138,axiom,
    ~ ( e2 = op(e5,e0)
      & e3 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e1 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e4 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

fof(f7368,plain,
    ( ~ spl0_723
    | ~ spl0_517
    | ~ spl0_286
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1635,f3078,f3971,f5047,f6099]) ).

fof(f3078,plain,
    ( spl0_86
  <=> e4 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1635,plain,
    ( e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(e1,e2)
    | e5 != op(op(e1,e2),op(e1,e2))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(cnf_transformation,[],[f1021]) ).

fof(f1021,plain,
    ( e5 != op(op(e1,e2),op(e1,e2))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(e1,e2) ),
    inference(ennf_transformation,[],[f433]) ).

fof(f433,axiom,
    ~ ( e0 = op(e1,e2)
      & e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax433) ).

fof(f7367,plain,
    ( ~ spl0_646
    | ~ spl0_708
    | ~ spl0_253
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1809,f2956,f3820,f6018,f5683]) ).

fof(f1809,plain,
    ( e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(e1,e0)
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e4 != op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f965]) ).

fof(f965,plain,
    ( e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(e1,e0)
    | e4 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f383]) ).

fof(f383,axiom,
    ~ ( e5 = op(e1,e0)
      & e4 = op(op(e1,e0),op(e1,e0))
      & e2 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax383) ).

fof(f7366,plain,
    ( ~ spl0_172
    | ~ spl0_173
    | ~ spl0_309
    | ~ spl0_689 ),
    inference(avatar_split_clause,[],[f2628,f5913,f4074,f3462,f3458]) ).

fof(f4074,plain,
    ( spl0_309
  <=> e4 = op(op(e5,e3),op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f2628,plain,
    ( e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,e3)
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(cnf_transformation,[],[f858]) ).

fof(f858,plain,
    ( e0 != op(e5,e3)
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(op(e5,e3),op(e5,e3)) ),
    inference(ennf_transformation,[],[f186]) ).

fof(f186,axiom,
    ~ ( e2 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e0 = op(e5,e3)
      & e1 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(op(e5,e3),op(e5,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax186) ).

fof(f7365,plain,
    ~ spl0_942,
    inference(avatar_split_clause,[],[f1877,f7362]) ).

fof(f7362,plain,
    ( spl0_942
  <=> op(e0,e1) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).

fof(f1877,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7360,plain,
    spl0_941,
    inference(avatar_split_clause,[],[f2520,f7357]) ).

fof(f7357,plain,
    ( spl0_941
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).

fof(f2520,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f7355,plain,
    spl0_940,
    inference(avatar_split_clause,[],[f2202,f7352]) ).

fof(f7352,plain,
    ( spl0_940
  <=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).

fof(f2202,plain,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7350,plain,
    ( spl0_760
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f1678,f3532,f6321]) ).

fof(f6321,plain,
    ( spl0_760
  <=> e3 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).

fof(f3532,plain,
    ( spl0_189
  <=> e1 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1678,plain,
    ( e1 != inv(e3)
    | e3 = inv(e1) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7349,plain,
    ( ~ spl0_627
    | ~ spl0_158
    | ~ spl0_157
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f1615,f5491,f3393,f3397,f5591]) ).

fof(f1615,plain,
    ( e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f1231]) ).

fof(f1231,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,e1) ),
    inference(ennf_transformation,[],[f657]) ).

fof(f657,axiom,
    ~ ( e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e3 = op(op(e0,e1),op(e0,e1))
      & e4 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e2 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax657) ).

fof(f7348,plain,
    spl0_939,
    inference(avatar_split_clause,[],[f1509,f7345]) ).

fof(f7345,plain,
    ( spl0_939
  <=> unit = op(e3,inv(e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).

fof(f1509,plain,
    unit = op(e3,inv(e3)),
    inference(cnf_transformation,[],[f4]) ).

fof(f7343,plain,
    ~ spl0_938,
    inference(avatar_split_clause,[],[f1605,f7340]) ).

fof(f7340,plain,
    ( spl0_938
  <=> inv(e1) = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).

fof(f1605,plain,
    inv(e1) != inv(e3),
    inference(cnf_transformation,[],[f8]) ).

fof(f7338,plain,
    ~ spl0_937,
    inference(avatar_split_clause,[],[f1937,f7335]) ).

fof(f7335,plain,
    ( spl0_937
  <=> op(e4,e2) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).

fof(f1937,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7333,plain,
    ( ~ spl0_535
    | ~ spl0_157
    | ~ spl0_536
    | ~ spl0_627 ),
    inference(avatar_split_clause,[],[f2349,f5591,f5140,f3393,f5136]) ).

fof(f2349,plain,
    ( e2 != op(e0,e1)
    | e4 != op(op(e0,e1),op(e0,e1))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f1197]) ).

fof(f1197,plain,
    ( e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e4 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1)
    | e3 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(ennf_transformation,[],[f651]) ).

fof(f651,axiom,
    ~ ( e4 = op(op(e0,e1),op(e0,e1))
      & e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e3 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e2 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax651) ).

fof(f7332,plain,
    ( ~ spl0_609
    | ~ spl0_157
    | ~ spl0_802
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f1575,f5491,f6535,f3393,f5499]) ).

fof(f1575,plain,
    ( e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,e1),op(e0,e1))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(e0,e1) ),
    inference(cnf_transformation,[],[f1220]) ).

fof(f1220,plain,
    ( e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e3 != op(e0,e1)
    | e2 != op(op(e0,e1),op(e0,e1)) ),
    inference(ennf_transformation,[],[f659]) ).

fof(f659,axiom,
    ~ ( e2 = op(op(e0,e1),op(e0,e1))
      & e4 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e3 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax659) ).

fof(f7331,plain,
    spl0_936,
    inference(avatar_split_clause,[],[f2140,f7328]) ).

fof(f7328,plain,
    ( spl0_936
  <=> op(op(e0,e5),e4) = op(e0,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).

fof(f2140,plain,
    op(op(e0,e5),e4) = op(e0,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7326,plain,
    ( ~ spl0_198
    | ~ spl0_424
    | ~ spl0_199
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1665,f3229,f3574,f4609,f3570]) ).

fof(f1665,plain,
    ( e0 != op(op(e1,e5),op(e1,e5))
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1444]) ).

fof(f1444,plain,
    ( e3 != op(e1,e5)
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e0 != op(op(e1,e5),op(e1,e5)) ),
    inference(ennf_transformation,[],[f604]) ).

fof(f604,axiom,
    ~ ( e0 = op(op(e1,e5),op(e1,e5))
      & e2 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e3 = op(e1,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax604) ).

fof(f7325,plain,
    ~ spl0_935,
    inference(avatar_split_clause,[],[f1603,f7322]) ).

fof(f7322,plain,
    ( spl0_935
  <=> inv(e2) = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).

fof(f1603,plain,
    inv(e2) != inv(e3),
    inference(cnf_transformation,[],[f8]) ).

fof(f7320,plain,
    ~ spl0_934,
    inference(avatar_split_clause,[],[f1990,f7317]) ).

fof(f7317,plain,
    ( spl0_934
  <=> op(e2,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).

fof(f1990,plain,
    op(e2,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7315,plain,
    ~ spl0_933,
    inference(avatar_split_clause,[],[f1975,f7312]) ).

fof(f7312,plain,
    ( spl0_933
  <=> op(e0,e0) = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).

fof(f1975,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7310,plain,
    ( ~ spl0_568
    | ~ spl0_646
    | ~ spl0_569
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f2668,f3820,f5298,f5683,f5294]) ).

fof(f2668,plain,
    ( e5 != op(e1,e0)
    | e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,e0),op(e1,e0))
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f1312]) ).

fof(f1312,plain,
    ( e4 != op(op(e1,e0),op(e1,e0))
    | e5 != op(e1,e0)
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f263]) ).

fof(f263,axiom,
    ~ ( e2 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e4 = op(op(e1,e0),op(e1,e0))
      & e5 = op(e1,e0)
      & e3 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax263) ).

fof(f7309,plain,
    ( ~ spl0_729
    | ~ spl0_149
    | ~ spl0_620
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f1628,f3588,f5556,f3354,f6133]) ).

fof(f1628,plain,
    ( e1 != op(e4,e0)
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e5 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f1146]) ).

fof(f1146,plain,
    ( e5 != op(op(e4,e0),op(e4,e0))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,e0)
    | e3 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f259]) ).

fof(f259,axiom,
    ~ ( e5 = op(op(e4,e0),op(e4,e0))
      & e3 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e1 = op(e4,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax259) ).

fof(f7308,plain,
    ( ~ spl0_425
    | ~ spl0_122
    | ~ spl0_230
    | ~ spl0_337 ),
    inference(avatar_split_clause,[],[f2665,f4205,f3715,f3233,f4613]) ).

fof(f2665,plain,
    ( e3 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1131]) ).

fof(f1131,plain,
    ( e3 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e0 != op(e1,e5)
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    inference(ennf_transformation,[],[f367]) ).

fof(f367,axiom,
    ~ ( e0 = op(e1,e5)
      & e4 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e3 = op(op(e1,e5),op(e1,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax367) ).

fof(f7307,plain,
    ( ~ spl0_563
    | ~ spl0_96
    | ~ spl0_436
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f2402,f3583,f4666,f3123,f5269]) ).

fof(f2402,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(e3,e1)
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f1238]) ).

fof(f1238,plain,
    ( e2 != op(e3,e1)
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f656]) ).

fof(f656,axiom,
    ~ ( e2 = op(e3,e1)
      & e0 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax656) ).

fof(f7306,plain,
    ( ~ spl0_297
    | ~ spl0_923
    | ~ spl0_352
    | ~ spl0_705 ),
    inference(avatar_split_clause,[],[f2638,f5999,f4273,f7239,f4021]) ).

fof(f2638,plain,
    ( e5 != op(e4,e1)
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f834]) ).

fof(f834,plain,
    ( e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(e4,e1) ),
    inference(ennf_transformation,[],[f400]) ).

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

fof(f7305,plain,
    ( ~ spl0_92
    | ~ spl0_383
    | ~ spl0_396
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1764,f3114,f4479,f4417,f3106]) ).

fof(f4479,plain,
    ( spl0_396
  <=> e0 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f1764,plain,
    ( e4 != op(e2,e3)
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f1412]) ).

fof(f1412,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(e2,e3) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ~ ( e0 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e1 = op(op(e2,e3),op(e2,e3))
      & e4 = op(e2,e3)
      & e5 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f7304,plain,
    spl0_932,
    inference(avatar_split_clause,[],[f2279,f7301]) ).

fof(f7301,plain,
    ( spl0_932
  <=> op(op(e4,e5),e4) = op(e4,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).

fof(f2279,plain,
    op(op(e4,e5),e4) = op(e4,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7299,plain,
    ( ~ spl0_259
    | ~ spl0_527
    | ~ spl0_526
    | ~ spl0_598 ),
    inference(avatar_split_clause,[],[f2494,f5445,f5091,f5095,f3847]) ).

fof(f5445,plain,
    ( spl0_598
  <=> e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).

fof(f2494,plain,
    ( e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,e4)
    | e3 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f932]) ).

fof(f932,plain,
    ( e1 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,e4)
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f726]) ).

fof(f726,axiom,
    ~ ( e1 = op(op(e2,e4),op(e2,e4))
      & e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(e2,e4)
      & e3 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax726) ).

fof(f7298,plain,
    ( ~ spl0_807
    | ~ spl0_719
    | ~ spl0_641
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f2436,f4378,f5657,f6074,f6563]) ).

fof(f2436,plain,
    ( e5 != op(e3,e4)
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(op(e3,e4),op(e3,e4))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(cnf_transformation,[],[f885]) ).

fof(f885,plain,
    ( e5 != op(e3,e4)
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(op(e3,e4),op(e3,e4))
    | e0 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(ennf_transformation,[],[f328]) ).

fof(f328,axiom,
    ~ ( e0 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e1 = op(op(e3,e4),op(e3,e4))
      & e2 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e5 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax328) ).

fof(f7297,plain,
    ( ~ spl0_41
    | ~ spl0_565
    | ~ spl0_831
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2080,f2885,f6705,f5279,f2881]) ).

fof(f2080,plain,
    ( e1 != op(e5,e2)
    | e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,e2),op(e5,e2))
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(cnf_transformation,[],[f1422]) ).

fof(f1422,plain,
    ( e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,e2)
    | e4 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f434]) ).

fof(f434,axiom,
    ~ ( e1 = op(e5,e2)
      & e0 = op(op(e5,e2),op(e5,e2))
      & e3 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e4 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax434) ).

fof(f7296,plain,
    ~ spl0_931,
    inference(avatar_split_clause,[],[f1883,f7293]) ).

fof(f7293,plain,
    ( spl0_931
  <=> op(e5,e0) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).

fof(f1883,plain,
    op(e5,e0) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7291,plain,
    ~ spl0_930,
    inference(avatar_split_clause,[],[f1976,f7288]) ).

fof(f7288,plain,
    ( spl0_930
  <=> op(e2,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).

fof(f1976,plain,
    op(e2,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7286,plain,
    ( ~ spl0_678
    | ~ spl0_599
    | ~ spl0_181
    | ~ spl0_525 ),
    inference(avatar_split_clause,[],[f2426,f5087,f3496,f5449,f5852]) ).

fof(f2426,plain,
    ( e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f1068]) ).

fof(f1068,plain,
    ( e5 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e0 != op(op(e2,e4),op(e2,e4)) ),
    inference(ennf_transformation,[],[f454]) ).

fof(f454,axiom,
    ~ ( e5 = op(e2,e4)
      & e0 = op(op(e2,e4),op(e2,e4))
      & e1 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax454) ).

fof(f7285,plain,
    ~ spl0_929,
    inference(avatar_split_clause,[],[f1876,f7282]) ).

fof(f7282,plain,
    ( spl0_929
  <=> op(e2,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).

fof(f1876,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7280,plain,
    ( ~ spl0_366
    | ~ spl0_95
    | ~ spl0_824
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f2081,f4483,f6663,f3118,f4338]) ).

fof(f4338,plain,
    ( spl0_366
  <=> e5 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f2081,plain,
    ( e4 != op(op(e2,e3),op(e2,e3))
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(e2,e3) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f739,plain,
    ( e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,e3) ),
    inference(ennf_transformation,[],[f185]) ).

fof(f185,axiom,
    ~ ( e5 = op(e2,e3)
      & e4 = op(op(e2,e3),op(e2,e3))
      & e0 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e1 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax185) ).

fof(f7279,plain,
    ( ~ spl0_923
    | ~ spl0_297
    | ~ spl0_298
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f2515,f4492,f4025,f4021,f7239]) ).

fof(f4025,plain,
    ( spl0_298
  <=> e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f2515,plain,
    ( e3 != op(e4,e1)
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1337]) ).

fof(f1337,plain,
    ( e3 != op(e4,e1)
    | e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(ennf_transformation,[],[f638]) ).

fof(f638,axiom,
    ~ ( e3 = op(e4,e1)
      & e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e0 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e2 = op(op(e4,e1),op(e4,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax638) ).

fof(f7278,plain,
    ( ~ spl0_242
    | ~ spl0_481
    | ~ spl0_528
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f1580,f4356,f5101,f4880,f3770]) ).

fof(f1580,plain,
    ( e2 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f1292]) ).

fof(f1292,plain,
    ( e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(ennf_transformation,[],[f687]) ).

fof(f687,axiom,
    ~ ( e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e4 = op(op(e1,e3),op(e1,e3))
      & e0 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e2 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax687) ).

fof(f7277,plain,
    spl0_928,
    inference(avatar_split_clause,[],[f2143,f7274]) ).

fof(f7274,plain,
    ( spl0_928
  <=> op(op(e2,e4),e1) = op(e2,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).

fof(f2143,plain,
    op(op(e2,e4),e1) = op(e2,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7272,plain,
    spl0_927,
    inference(avatar_split_clause,[],[f2167,f7269]) ).

fof(f7269,plain,
    ( spl0_927
  <=> op(op(e0,e2),e5) = op(e0,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).

fof(f2167,plain,
    op(op(e0,e2),e5) = op(e0,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7267,plain,
    spl0_926,
    inference(avatar_split_clause,[],[f2157,f7264]) ).

fof(f7264,plain,
    ( spl0_926
  <=> op(op(e1,e2),e4) = op(e1,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).

fof(f2157,plain,
    op(op(e1,e2),e4) = op(e1,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7262,plain,
    ( ~ spl0_4
    | ~ spl0_129
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1533,f2711,f2790,f3264,f2719]) ).

fof(f2719,plain,
    ( spl0_4
  <=> e4 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3264,plain,
    ( spl0_129
  <=> e2 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1533,plain,
    ( e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(e0,e3)
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f824]) ).

fof(f824,plain,
    ( e4 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,e3)
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f311]) ).

fof(f311,axiom,
    ~ ( e2 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e5 = op(e0,e3)
      & e1 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e4 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax311) ).

fof(f7261,plain,
    spl0_925,
    inference(avatar_split_clause,[],[f2244,f7258]) ).

fof(f7258,plain,
    ( spl0_925
  <=> op(op(e0,e5),e5) = op(e0,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).

fof(f2244,plain,
    op(op(e0,e5),e5) = op(e0,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7256,plain,
    ( ~ spl0_367
    | ~ spl0_366
    | ~ spl0_95
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2432,f3106,f3118,f4338,f4342]) ).

fof(f4342,plain,
    ( spl0_367
  <=> e4 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f2432,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(e2,e3)
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f1037]) ).

fof(f1037,plain,
    ( e5 != op(e2,e3)
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f568]) ).

fof(f568,axiom,
    ~ ( e4 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e5 = op(e2,e3)
      & e0 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e1 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax568) ).

fof(f7255,plain,
    ( ~ spl0_340
    | ~ spl0_477
    | ~ spl0_112
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2413,f3187,f3191,f4862,f4218]) ).

fof(f3187,plain,
    ( spl0_111
  <=> e4 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2413,plain,
    ( e4 != op(e5,e1)
    | e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(op(e5,e1),op(e5,e1))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(cnf_transformation,[],[f952]) ).

fof(f952,plain,
    ( e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(op(e5,e1),op(e5,e1))
    | e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(e5,e1) ),
    inference(ennf_transformation,[],[f404]) ).

fof(f404,axiom,
    ~ ( e3 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e0 = op(op(e5,e1),op(e5,e1))
      & e2 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e4 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax404) ).

fof(f7254,plain,
    ( ~ spl0_230
    | ~ spl0_337
    | ~ spl0_46
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f2661,f3719,f2903,f4205,f3715]) ).

fof(f2661,plain,
    ( e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,e5)
    | e3 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f1248]) ).

fof(f1248,plain,
    ( e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,e5)
    | e3 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f129]) ).

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

fof(f7253,plain,
    ( ~ spl0_668
    | ~ spl0_26
    | ~ spl0_529
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2501,f2812,f5106,f2816,f5797]) ).

fof(f2816,plain,
    ( spl0_26
  <=> e1 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2501,plain,
    ( e0 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,e5)
    | e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f859]) ).

fof(f859,plain,
    ( e0 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,e5) ),
    inference(ennf_transformation,[],[f476]) ).

fof(f476,axiom,
    ~ ( e3 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e2 = op(e4,e5)
      & e0 = op(op(e4,e5),op(e4,e5))
      & e1 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax476) ).

fof(f7252,plain,
    ( ~ spl0_198
    | ~ spl0_44
    | ~ spl0_122
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f2415,f2899,f3233,f2895,f3570]) ).

fof(f2899,plain,
    ( spl0_45
  <=> e0 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2415,plain,
    ( e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e4 != op(op(e1,e5),op(e1,e5))
    | e3 != op(e1,e5) ),
    inference(cnf_transformation,[],[f779]) ).

fof(f779,plain,
    ( e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(op(e1,e5),op(e1,e5))
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(e1,e5) ),
    inference(ennf_transformation,[],[f351]) ).

fof(f351,axiom,
    ~ ( e3 = op(e1,e5)
      & e4 = op(op(e1,e5),op(e1,e5))
      & e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e0 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax351) ).

fof(f7251,plain,
    ( ~ spl0_613
    | ~ spl0_359
    | ~ spl0_442
    | ~ spl0_644 ),
    inference(avatar_split_clause,[],[f1497,f5671,f4695,f4305,f5521]) ).

fof(f1497,plain,
    ( e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(e2,e0) ),
    inference(cnf_transformation,[],[f1282]) ).

fof(f1282,plain,
    ( e1 != op(op(e2,e0),op(e2,e0))
    | e5 != op(e2,e0)
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(ennf_transformation,[],[f508]) ).

fof(f508,axiom,
    ~ ( e3 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e1 = op(op(e2,e0),op(e2,e0))
      & e5 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax508) ).

fof(f7250,plain,
    ( ~ spl0_762
    | ~ spl0_751
    | ~ spl0_421
    | ~ spl0_467 ),
    inference(avatar_split_clause,[],[f2506,f4818,f4593,f6263,f6330]) ).

fof(f2506,plain,
    ( e4 != op(e0,e2)
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1406]) ).

fof(f1406,plain,
    ( e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e4 != op(e0,e2) ),
    inference(ennf_transformation,[],[f179]) ).

fof(f179,axiom,
    ~ ( e4 = op(e0,e2)
      & e5 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e1 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e3 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax179) ).

fof(f7249,plain,
    ( ~ spl0_536
    | ~ spl0_160
    | ~ spl0_157
    | ~ spl0_609 ),
    inference(avatar_split_clause,[],[f1633,f5499,f3393,f3405,f5140]) ).

fof(f1633,plain,
    ( e3 != op(e0,e1)
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,e1),op(e0,e1)) ),
    inference(cnf_transformation,[],[f967]) ).

fof(f967,plain,
    ( e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e3 != op(e0,e1)
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e4 != op(op(e0,e1),op(e0,e1)) ),
    inference(ennf_transformation,[],[f645]) ).

fof(f645,axiom,
    ~ ( e3 = op(e0,e1)
      & e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e4 = op(op(e0,e1),op(e0,e1))
      & e2 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax645) ).

fof(f7248,plain,
    ( ~ spl0_370
    | ~ spl0_487
    | ~ spl0_101
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1566,f3152,f3144,f4909,f4356]) ).

fof(f3152,plain,
    ( spl0_103
  <=> e4 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1566,plain,
    ( e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,e3) ),
    inference(cnf_transformation,[],[f889]) ).

fof(f889,plain,
    ( e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(e1,e3)
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ~ ( e2 = op(e1,e3)
      & e5 = op(op(e1,e3),op(e1,e3))
      & e0 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e4 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

fof(f7247,plain,
    spl0_924,
    inference(avatar_split_clause,[],[f2251,f7244]) ).

fof(f7244,plain,
    ( spl0_924
  <=> op(op(e5,e1),e5) = op(e5,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).

fof(f2251,plain,
    op(op(e5,e1),e5) = op(e5,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7242,plain,
    ( ~ spl0_923
    | ~ spl0_298
    | ~ spl0_783
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f2697,f5385,f6443,f4025,f7239]) ).

fof(f2697,plain,
    ( e2 != op(e4,e1)
    | e3 != op(op(e4,e1),op(e4,e1))
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f884]) ).

fof(f884,plain,
    ( e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(e4,e1)
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(ennf_transformation,[],[f636]) ).

fof(f636,axiom,
    ~ ( e0 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e3 = op(op(e4,e1),op(e4,e1))
      & e2 = op(e4,e1)
      & e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax636) ).

fof(f7237,plain,
    ( spl0_584
    | ~ spl0_583 ),
    inference(avatar_split_clause,[],[f1695,f5369,f5373]) ).

fof(f5373,plain,
    ( spl0_584
  <=> e4 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).

fof(f1695,plain,
    ( e1 != inv(e4)
    | e4 = inv(e1) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7236,plain,
    spl0_922,
    inference(avatar_split_clause,[],[f2118,f7233]) ).

fof(f7233,plain,
    ( spl0_922
  <=> op(op(e1,e5),e5) = op(e1,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).

fof(f2118,plain,
    op(op(e1,e5),e5) = op(e1,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7231,plain,
    ( ~ spl0_638
    | ~ spl0_327
    | ~ spl0_474
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f2098,f4150,f4847,f4158,f5641]) ).

fof(f4158,plain,
    ( spl0_327
  <=> e5 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f2098,plain,
    ( e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(e4,e2)
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(op(e4,e2),op(e4,e2)) ),
    inference(cnf_transformation,[],[f968]) ).

fof(f968,plain,
    ( e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,e2),op(e4,e2))
    | e3 != op(e4,e2) ),
    inference(ennf_transformation,[],[f668]) ).

fof(f668,axiom,
    ~ ( e0 = op(op(e4,e2),op(e4,e2))
      & e3 = op(e4,e2)
      & e5 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e1 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax668) ).

fof(f7230,plain,
    ( ~ spl0_173
    | ~ spl0_171
    | ~ spl0_341
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f1574,f4546,f4223,f3454,f3462]) ).

fof(f3454,plain,
    ( spl0_171
  <=> e4 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f4223,plain,
    ( spl0_341
  <=> e2 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f1574,plain,
    ( e1 != op(op(e5,e3),op(e5,e3))
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(e5,e3) ),
    inference(cnf_transformation,[],[f1030]) ).

fof(f1030,plain,
    ( e1 != op(op(e5,e3),op(e5,e3))
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(e5,e3) ),
    inference(ennf_transformation,[],[f312]) ).

fof(f312,axiom,
    ~ ( e0 = op(e5,e3)
      & e2 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e1 = op(op(e5,e3),op(e5,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax312) ).

fof(f7229,plain,
    ( ~ spl0_165
    | ~ spl0_436
    | ~ spl0_201
    | ~ spl0_605 ),
    inference(avatar_split_clause,[],[f2617,f5482,f3583,f4666,f3426]) ).

fof(f2617,plain,
    ( e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e5 != op(e3,e1) ),
    inference(cnf_transformation,[],[f1438]) ).

fof(f1438,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e5 != op(e3,e1)
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(ennf_transformation,[],[f292]) ).

fof(f292,axiom,
    ~ ( e5 = op(e3,e1)
      & e2 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e0 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax292) ).

fof(f7228,plain,
    ( ~ spl0_499
    | ~ spl0_318
    | ~ spl0_548
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2395,f2981,f5197,f4115,f4963]) ).

fof(f2395,plain,
    ( e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(e4,e3)
    | e1 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f956]) ).

fof(f956,plain,
    ( e5 != op(e4,e3)
    | e1 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ~ ( e2 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e5 = op(e4,e3)
      & e1 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(f7227,plain,
    ~ spl0_921,
    inference(avatar_split_clause,[],[f2448,f7224]) ).

fof(f7224,plain,
    ( spl0_921
  <=> e0 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).

fof(f2448,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f10]) ).

fof(f7222,plain,
    ~ spl0_920,
    inference(avatar_split_clause,[],[f1970,f7219]) ).

fof(f7219,plain,
    ( spl0_920
  <=> op(e5,e1) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).

fof(f1970,plain,
    op(e5,e1) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7217,plain,
    spl0_919,
    inference(avatar_split_clause,[],[f2174,f7214]) ).

fof(f7214,plain,
    ( spl0_919
  <=> op(op(e2,e2),e0) = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).

fof(f2174,plain,
    op(op(e2,e2),e0) = op(e2,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7212,plain,
    spl0_918,
    inference(avatar_split_clause,[],[f2257,f7209]) ).

fof(f7209,plain,
    ( spl0_918
  <=> op(op(e3,e3),e4) = op(e3,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).

fof(f2257,plain,
    op(op(e3,e3),e4) = op(e3,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7207,plain,
    ~ spl0_917,
    inference(avatar_split_clause,[],[f1921,f7204]) ).

fof(f7204,plain,
    ( spl0_917
  <=> op(e0,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).

fof(f1921,plain,
    op(e0,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7202,plain,
    ~ spl0_916,
    inference(avatar_split_clause,[],[f1972,f7199]) ).

fof(f7199,plain,
    ( spl0_916
  <=> op(e2,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).

fof(f1972,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f7197,plain,
    ( ~ spl0_701
    | ~ spl0_117
    | ~ spl0_633
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2381,f3208,f5619,f3212,f5978]) ).

fof(f2381,plain,
    ( e3 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,e0)
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(cnf_transformation,[],[f1264]) ).

fof(f1264,plain,
    ( e3 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,e0)
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f144,axiom,
    ~ ( e2 = op(e5,e0)
      & e4 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e1 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e3 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).

fof(f7196,plain,
    spl0_915,
    inference(avatar_split_clause,[],[f2158,f7193]) ).

fof(f7193,plain,
    ( spl0_915
  <=> op(op(e2,e1),e4) = op(e2,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).

fof(f2158,plain,
    op(op(e2,e1),e4) = op(e2,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7191,plain,
    ( ~ spl0_380
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_719 ),
    inference(avatar_split_clause,[],[f2417,f6074,f2829,f2825,f4403]) ).

fof(f2417,plain,
    ( e1 != op(op(e3,e4),op(e3,e4))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,e4)
    | e5 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f1232]) ).

fof(f1232,plain,
    ( e2 != op(e3,e4)
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e5 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e1 = op(op(e3,e4),op(e3,e4))
      & e2 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).

fof(f7190,plain,
    ( ~ spl0_354
    | ~ spl0_266
    | ~ spl0_520
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f2108,f4871,f5062,f3877,f4282]) ).

fof(f4282,plain,
    ( spl0_354
  <=> e1 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f5062,plain,
    ( spl0_520
  <=> e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).

fof(f2108,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,e5)
    | e1 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f816]) ).

fof(f816,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,e5) ),
    inference(ennf_transformation,[],[f359]) ).

fof(f359,axiom,
    ~ ( e3 = op(op(e0,e5),op(e0,e5))
      & e4 = op(e0,e5)
      & e1 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax359) ).

fof(f7189,plain,
    spl0_914,
    inference(avatar_split_clause,[],[f2177,f7186]) ).

fof(f7186,plain,
    ( spl0_914
  <=> op(op(e1,e5),e4) = op(e1,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).

fof(f2177,plain,
    op(op(e1,e5),e4) = op(e1,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7184,plain,
    ( ~ spl0_26
    | ~ spl0_413
    | ~ spl0_578
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f1581,f5106,f5344,f4556,f2816]) ).

fof(f1581,plain,
    ( e2 != op(e4,e5)
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1170]) ).

fof(f1170,plain,
    ( e3 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,e5)
    | e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,axiom,
    ~ ( e2 = op(e4,e5)
      & e1 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e3 = op(op(e4,e5),op(e4,e5))
      & e0 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).

fof(f7183,plain,
    ( spl0_912
    | spl0_11
    | spl0_8
    | spl0_281
    | spl0_913
    | spl0_516 ),
    inference(avatar_split_clause,[],[f1735,f5042,f7180,f3946,f2738,f2751,f7176]) ).

fof(f7176,plain,
    ( spl0_912
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).

fof(f2751,plain,
    ( spl0_11
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f7180,plain,
    ( spl0_913
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).

fof(f1735,plain,
    ( e0 = op(e2,e1)
    | e2 = op(e2,e1)
    | e5 = op(e2,e1)
    | e4 = op(e2,e1)
    | e3 = op(e2,e1)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f7174,plain,
    spl0_911,
    inference(avatar_split_clause,[],[f2262,f7171]) ).

fof(f7171,plain,
    ( spl0_911
  <=> op(op(e3,e4),e4) = op(e3,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).

fof(f2262,plain,
    op(op(e3,e4),e4) = op(e3,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7169,plain,
    spl0_910,
    inference(avatar_split_clause,[],[f2181,f7166]) ).

fof(f7166,plain,
    ( spl0_910
  <=> op(op(e5,e0),e5) = op(e5,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).

fof(f2181,plain,
    op(op(e5,e0),e5) = op(e5,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7164,plain,
    ( ~ spl0_526
    | ~ spl0_525
    | ~ spl0_180
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2414,f3496,f3492,f5087,f5091]) ).

fof(f2414,plain,
    ( e5 != op(e2,e4)
    | e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f916]) ).

fof(f916,plain,
    ( e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(e2,e4)
    | e1 != op(op(e2,e4),op(e2,e4)) ),
    inference(ennf_transformation,[],[f448]) ).

fof(f448,axiom,
    ~ ( e1 = op(op(e2,e4),op(e2,e4))
      & e0 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e5 = op(e2,e4)
      & e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax448) ).

fof(f7163,plain,
    spl0_909,
    inference(avatar_split_clause,[],[f2162,f7160]) ).

fof(f7160,plain,
    ( spl0_909
  <=> op(op(e3,e4),e1) = op(e3,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).

fof(f2162,plain,
    op(op(e3,e4),e1) = op(e3,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7158,plain,
    ( ~ spl0_358
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_603 ),
    inference(avatar_split_clause,[],[f2630,f5473,f2881,f2873,f4300]) ).

fof(f2630,plain,
    ( e4 != op(e5,e2)
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e1 != op(op(e5,e2),op(e5,e2)) ),
    inference(cnf_transformation,[],[f819]) ).

fof(f819,plain,
    ( e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(e5,e2)
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f422]) ).

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

fof(f7157,plain,
    ( ~ spl0_148
    | ~ spl0_673
    | ~ spl0_546
    | ~ spl0_620 ),
    inference(avatar_split_clause,[],[f2565,f5556,f5188,f5822,f3350]) ).

fof(f2565,plain,
    ( e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e3 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,e0) ),
    inference(cnf_transformation,[],[f1038]) ).

fof(f1038,plain,
    ( e5 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f256]) ).

fof(f256,axiom,
    ~ ( e5 = op(e4,e0)
      & e1 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(op(e4,e0),op(e4,e0))
      & e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax256) ).

fof(f7156,plain,
    ( ~ spl0_273
    | ~ spl0_279
    | ~ spl0_275
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2462,f2764,f3918,f3937,f3910]) ).

fof(f2462,plain,
    ( e5 != op(e3,e0)
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(op(e3,e0),op(e3,e0))
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f1036]) ).

fof(f1036,plain,
    ( e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(e3,e0)
    | e2 != op(op(e3,e0),op(e3,e0))
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(ennf_transformation,[],[f496]) ).

fof(f496,axiom,
    ~ ( e1 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e4 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e5 = op(e3,e0)
      & e2 = op(op(e3,e0),op(e3,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax496) ).

fof(f7155,plain,
    ( ~ spl0_705
    | ~ spl0_783
    | ~ spl0_587
    | ~ spl0_398 ),
    inference(avatar_split_clause,[],[f1519,f4488,f5389,f6443,f5999]) ).

fof(f4488,plain,
    ( spl0_398
  <=> e2 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f1519,plain,
    ( e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(op(e4,e1),op(e4,e1))
    | e5 != op(e4,e1) ),
    inference(cnf_transformation,[],[f852]) ).

fof(f852,plain,
    ( e5 != op(e4,e1)
    | e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e2 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e5 = op(e4,e1)
      & e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e3 = op(op(e4,e1),op(e4,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f7154,plain,
    ( ~ spl0_210
    | ~ spl0_317
    | ~ spl0_459
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1562,f2764,f4777,f4110,f3623]) ).

fof(f1562,plain,
    ( e5 != op(e3,e0)
    | e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1154]) ).

fof(f1154,plain,
    ( e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,e0),op(e3,e0))
    | e5 != op(e3,e0) ),
    inference(ennf_transformation,[],[f268]) ).

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

fof(f7153,plain,
    ( ~ spl0_700
    | ~ spl0_752
    | ~ spl0_115
    | ~ spl0_632 ),
    inference(avatar_split_clause,[],[f1815,f5615,f3204,f6268,f5974]) ).

fof(f1815,plain,
    ( e3 != op(e5,e0)
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(op(e5,e0),op(e5,e0)) ),
    inference(cnf_transformation,[],[f1198]) ).

fof(f1198,plain,
    ( e3 != op(e5,e0)
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(op(e5,e0),op(e5,e0))
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(ennf_transformation,[],[f500]) ).

fof(f500,axiom,
    ~ ( e2 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(e5,e0)
      & e4 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e1 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax500) ).

fof(f7152,plain,
    spl0_908,
    inference(avatar_split_clause,[],[f2234,f7149]) ).

fof(f7149,plain,
    ( spl0_908
  <=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).

fof(f2234,plain,
    op(op(e2,e1),e3) = op(e2,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7147,plain,
    ( ~ spl0_12
    | ~ spl0_141
    | ~ spl0_7
    | ~ spl0_516 ),
    inference(avatar_split_clause,[],[f1650,f5042,f2734,f3320,f2755]) ).

fof(f2734,plain,
    ( spl0_7
  <=> e5 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1650,plain,
    ( e0 != op(e2,e1)
    | e5 != op(op(e2,e1),op(e2,e1))
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(cnf_transformation,[],[f1344]) ).

fof(f1344,plain,
    ( e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1) ),
    inference(ennf_transformation,[],[f409]) ).

fof(f409,axiom,
    ~ ( e0 = op(e2,e1)
      & e5 = op(op(e2,e1),op(e2,e1))
      & e4 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e3 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax409) ).

fof(f7146,plain,
    ( ~ spl0_259
    | ~ spl0_179
    | ~ spl0_527
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f1769,f3859,f5095,f3488,f3847]) ).

fof(f1769,plain,
    ( e5 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,e4)
    | e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f1120]) ).

fof(f1120,plain,
    ( e0 != op(e2,e4)
    | e3 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4)) ),
    inference(ennf_transformation,[],[f217]) ).

fof(f217,axiom,
    ~ ( e5 = op(op(e2,e4),op(e2,e4))
      & e3 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e1 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax217) ).

fof(f7145,plain,
    ( ~ spl0_322
    | ~ spl0_208
    | ~ spl0_339
    | ~ spl0_477 ),
    inference(avatar_split_clause,[],[f2585,f4862,f4214,f3614,f4136]) ).

fof(f2585,plain,
    ( e0 != op(op(e5,e1),op(e5,e1))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,e1)
    | e3 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(cnf_transformation,[],[f1041]) ).

fof(f1041,plain,
    ( e0 != op(op(e5,e1),op(e5,e1))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(e5,e1) ),
    inference(ennf_transformation,[],[f530]) ).

fof(f530,axiom,
    ~ ( e4 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e0 = op(op(e5,e1),op(e5,e1))
      & e2 = op(e5,e1)
      & e3 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax530) ).

fof(f7144,plain,
    spl0_907,
    inference(avatar_split_clause,[],[f2213,f7141]) ).

fof(f7141,plain,
    ( spl0_907
  <=> op(op(e2,e2),e5) = op(e2,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).

fof(f2213,plain,
    op(op(e2,e2),e5) = op(e2,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7139,plain,
    ~ spl0_906,
    inference(avatar_split_clause,[],[f1892,f7136]) ).

fof(f7136,plain,
    ( spl0_906
  <=> op(e2,e1) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).

fof(f1892,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f7134,plain,
    spl0_905,
    inference(avatar_split_clause,[],[f2209,f7131]) ).

fof(f7131,plain,
    ( spl0_905
  <=> op(op(e0,e0),e5) = op(e0,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).

fof(f2209,plain,
    op(op(e0,e0),e5) = op(e0,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7129,plain,
    ~ spl0_904,
    inference(avatar_split_clause,[],[f2034,f7126]) ).

fof(f7126,plain,
    ( spl0_904
  <=> op(e4,e1) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).

fof(f2034,plain,
    op(e4,e1) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7124,plain,
    spl0_903,
    inference(avatar_split_clause,[],[f2224,f7121]) ).

fof(f7121,plain,
    ( spl0_903
  <=> op(op(e3,e0),e5) = op(e3,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).

fof(f2224,plain,
    op(op(e3,e0),e5) = op(e3,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7119,plain,
    ( ~ spl0_103
    | ~ spl0_370
    | ~ spl0_242
    | ~ spl0_504 ),
    inference(avatar_split_clause,[],[f1631,f4988,f3770,f4356,f3152]) ).

fof(f1631,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e2 != op(e1,e3)
    | e4 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(cnf_transformation,[],[f1023]) ).

fof(f1023,plain,
    ( e2 != op(e1,e3)
    | e0 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(ennf_transformation,[],[f706]) ).

fof(f706,axiom,
    ~ ( e4 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e0 = op(op(e1,e3),op(e1,e3))
      & e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e2 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax706) ).

fof(f7118,plain,
    ( ~ spl0_626
    | ~ spl0_802
    | ~ spl0_782
    | ~ spl0_609 ),
    inference(avatar_split_clause,[],[f2693,f5499,f6438,f6535,f5587]) ).

fof(f2693,plain,
    ( e3 != op(e0,e1)
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(op(e0,e1),op(e0,e1))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f1082]) ).

fof(f1082,plain,
    ( e3 != op(e0,e1)
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,e1),op(e0,e1)) ),
    inference(ennf_transformation,[],[f539]) ).

fof(f539,axiom,
    ~ ( e5 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e2 = op(op(e0,e1),op(e0,e1))
      & e3 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax539) ).

fof(f7117,plain,
    ~ spl0_902,
    inference(avatar_split_clause,[],[f2044,f7114]) ).

fof(f7114,plain,
    ( spl0_902
  <=> op(e0,e4) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).

fof(f2044,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7112,plain,
    ~ spl0_901,
    inference(avatar_split_clause,[],[f1951,f7109]) ).

fof(f7109,plain,
    ( spl0_901
  <=> op(e5,e3) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).

fof(f1951,plain,
    op(e5,e3) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7107,plain,
    ( ~ spl0_596
    | ~ spl0_701
    | ~ spl0_117
    | ~ spl0_632 ),
    inference(avatar_split_clause,[],[f2384,f5615,f3212,f5978,f5434]) ).

fof(f2384,plain,
    ( e3 != op(e5,e0)
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,e0),op(e5,e0)) ),
    inference(cnf_transformation,[],[f1087]) ).

fof(f1087,plain,
    ( e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(op(e5,e0),op(e5,e0))
    | e3 != op(e5,e0) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f146,axiom,
    ~ ( e2 = op(op(e5,e0),op(e5,e0))
      & e4 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(e5,e0)
      & e1 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).

fof(f7106,plain,
    ( ~ spl0_754
    | ~ spl0_807
    | ~ spl0_30
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f2505,f4378,f2833,f6563,f6283]) ).

fof(f2505,plain,
    ( e5 != op(e3,e4)
    | e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(op(e3,e4),op(e3,e4)) ),
    inference(cnf_transformation,[],[f1029]) ).

fof(f1029,plain,
    ( e0 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,e4)
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(ennf_transformation,[],[f334]) ).

fof(f334,axiom,
    ~ ( e0 = op(op(e3,e4),op(e3,e4))
      & e5 = op(e3,e4)
      & e1 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e2 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax334) ).

fof(f7105,plain,
    ( ~ spl0_125
    | ~ spl0_438
    | ~ spl0_74
    | ~ spl0_441 ),
    inference(avatar_split_clause,[],[f2699,f4689,f3026,f4677,f3246]) ).

fof(f4677,plain,
    ( spl0_438
  <=> e0 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).

fof(f2699,plain,
    ( e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(op(e1,e4),op(e1,e4))
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(e1,e4) ),
    inference(cnf_transformation,[],[f1223]) ).

fof(f1223,plain,
    ( e5 != op(e1,e4)
    | e3 != op(op(e1,e4),op(e1,e4))
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(ennf_transformation,[],[f329]) ).

fof(f329,axiom,
    ~ ( e5 = op(e1,e4)
      & e3 = op(op(e1,e4),op(e1,e4))
      & e2 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e0 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax329) ).

fof(f7104,plain,
    ( ~ spl0_520
    | ~ spl0_427
    | ~ spl0_354
    | ~ spl0_403 ),
    inference(avatar_split_clause,[],[f2623,f4510,f4282,f4623,f5062]) ).

fof(f2623,plain,
    ( e3 != op(e0,e5)
    | e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f917,plain,
    ( e3 != op(e0,e5)
    | e4 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(ennf_transformation,[],[f357]) ).

fof(f357,axiom,
    ~ ( e4 = op(op(e0,e5),op(e0,e5))
      & e3 = op(e0,e5)
      & e1 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax357) ).

fof(f7103,plain,
    ~ spl0_900,
    inference(avatar_split_clause,[],[f1988,f7100]) ).

fof(f7100,plain,
    ( spl0_900
  <=> op(e4,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).

fof(f1988,plain,
    op(e4,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7098,plain,
    ( ~ spl0_314
    | ~ spl0_316
    | ~ spl0_415
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1627,f3173,f4566,f4105,f4097]) ).

fof(f4105,plain,
    ( spl0_316
  <=> e3 = op(op(e5,e4),op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f1627,plain,
    ( e1 != op(e5,e4)
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(cnf_transformation,[],[f1239]) ).

fof(f1239,plain,
    ( e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(e5,e4)
    | e3 != op(op(e5,e4),op(e5,e4)) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ~ ( e3 = op(op(e5,e4),op(e5,e4))
      & e2 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(e5,e4)
      & e0 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f7097,plain,
    ~ spl0_899,
    inference(avatar_split_clause,[],[f2041,f7094]) ).

fof(f7094,plain,
    ( spl0_899
  <=> op(e3,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).

fof(f2041,plain,
    op(e3,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7092,plain,
    spl0_898,
    inference(avatar_split_clause,[],[f2323,f7089]) ).

fof(f7089,plain,
    ( spl0_898
  <=> op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).

fof(f2323,plain,
    op(op(e1,e0),e2) = op(e1,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7087,plain,
    ( spl0_757
    | ~ spl0_758 ),
    inference(avatar_split_clause,[],[f1684,f6305,f6301]) ).

fof(f1684,plain,
    ( e0 != inv(e2)
    | e2 = inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7086,plain,
    ~ spl0_897,
    inference(avatar_split_clause,[],[f1906,f7083]) ).

fof(f7083,plain,
    ( spl0_897
  <=> op(e2,e2) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).

fof(f1906,plain,
    op(e2,e2) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7081,plain,
    ( ~ spl0_21
    | ~ spl0_245
    | ~ spl0_22
    | ~ spl0_616 ),
    inference(avatar_split_clause,[],[f1593,f5536,f2798,f3785,f2794]) ).

fof(f5536,plain,
    ( spl0_616
  <=> e5 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).

fof(f1593,plain,
    ( e5 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(e0,e3)
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f1190]) ).

fof(f1190,plain,
    ( e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,e3),op(e0,e3))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(e0,e3) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f189,axiom,
    ~ ( e4 = op(e0,e3)
      & e2 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e1 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e5 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax189) ).

fof(f7080,plain,
    ( spl0_294
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f1672,f4002,f4006]) ).

fof(f1672,plain,
    ( e4 != inv(e0)
    | e0 = inv(e4) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7079,plain,
    ( ~ spl0_264
    | ~ spl0_365
    | ~ spl0_104
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f1765,f4105,f3157,f4333,f3868]) ).

fof(f3868,plain,
    ( spl0_264
  <=> e1 = op(e5,op(op(e5,e4),op(e5,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f4333,plain,
    ( spl0_365
  <=> e2 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f1765,plain,
    ( e3 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,e4)
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(cnf_transformation,[],[f1291]) ).

fof(f1291,plain,
    ( e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(e5,e4)
    | e3 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f330]) ).

fof(f330,axiom,
    ~ ( e0 = op(e5,e4)
      & e1 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e3 = op(op(e5,e4),op(e5,e4))
      & e2 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax330) ).

fof(f7078,plain,
    ( ~ spl0_589
    | ~ spl0_594
    | ~ spl0_728
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1849,f3374,f6128,f5424,f5399]) ).

fof(f1849,plain,
    ( e1 != op(e0,e4)
    | e3 != op(op(e0,e4),op(e0,e4))
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e5 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1061,plain,
    ( e1 != op(e0,e4)
    | e3 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f345]) ).

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

fof(f7077,plain,
    ( ~ spl0_338
    | ~ spl0_340
    | ~ spl0_576
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2532,f3191,f5333,f4218,f4210]) ).

fof(f2532,plain,
    ( e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1331]) ).

fof(f1331,plain,
    ( e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1) ),
    inference(ennf_transformation,[],[f402]) ).

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

fof(f7076,plain,
    ( ~ spl0_635
    | ~ spl0_596
    | ~ spl0_701
    | ~ spl0_667 ),
    inference(avatar_split_clause,[],[f1841,f5792,f5978,f5434,f5627]) ).

fof(f5792,plain,
    ( spl0_667
  <=> e3 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).

fof(f1841,plain,
    ( e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,e0) ),
    inference(cnf_transformation,[],[f787]) ).

fof(f787,plain,
    ( e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,e0)
    | e2 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(ennf_transformation,[],[f384]) ).

fof(f384,axiom,
    ~ ( e1 = op(e5,e0)
      & e3 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e4 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e2 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax384) ).

fof(f7075,plain,
    ( ~ spl0_252
    | ~ spl0_7
    | ~ spl0_516
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f2560,f2746,f5042,f2734,f3815]) ).

fof(f3815,plain,
    ( spl0_252
  <=> e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f2746,plain,
    ( spl0_10
  <=> e3 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2560,plain,
    ( e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(e2,e1)
    | e5 != op(op(e2,e1),op(e2,e1))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(cnf_transformation,[],[f1379]) ).

fof(f1379,plain,
    ( e5 != op(op(e2,e1),op(e2,e1))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,e1)
    | e3 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f529]) ).

fof(f529,axiom,
    ~ ( e5 = op(op(e2,e1),op(e2,e1))
      & e0 = op(e2,e1)
      & e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax529) ).

fof(f7074,plain,
    ( ~ spl0_130
    | ~ spl0_617
    | ~ spl0_3
    | ~ spl0_494 ),
    inference(avatar_split_clause,[],[f1541,f4939,f2715,f5540,f3268]) ).

fof(f4939,plain,
    ( spl0_494
  <=> e5 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).

fof(f1541,plain,
    ( e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(e0,e3)
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f1288]) ).

fof(f1288,plain,
    ( e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,e3) ),
    inference(ennf_transformation,[],[f587]) ).

fof(f587,axiom,
    ~ ( e5 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e1 = op(op(e0,e3),op(e0,e3))
      & e4 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e2 = op(e0,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax587) ).

fof(f7073,plain,
    ( ~ spl0_194
    | ~ spl0_33
    | ~ spl0_443
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f1572,f4714,f4700,f2846,f3553]) ).

fof(f4714,plain,
    ( spl0_446
  <=> e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).

fof(f1572,plain,
    ( e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,e5)
    | e1 != op(op(e2,e5),op(e2,e5))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f1417]) ).

fof(f1417,plain,
    ( e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,e5)
    | e0 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(ennf_transformation,[],[f592]) ).

fof(f592,axiom,
    ~ ( e3 = op(e2,e5)
      & e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e0 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e1 = op(op(e2,e5),op(e2,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax592) ).

fof(f7072,plain,
    ( ~ spl0_24
    | ~ spl0_389
    | ~ spl0_674
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1644,f2820,f5828,f4445,f2808]) ).

fof(f5828,plain,
    ( spl0_674
  <=> e0 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).

fof(f2820,plain,
    ( spl0_27
  <=> e2 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1644,plain,
    ( e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,e5) ),
    inference(cnf_transformation,[],[f1386]) ).

fof(f1386,plain,
    ( e3 != op(e4,e5)
    | e1 != op(op(e4,e5),op(e4,e5))
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f350]) ).

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

fof(f7071,plain,
    spl0_896,
    inference(avatar_split_clause,[],[f2203,f7068]) ).

fof(f7068,plain,
    ( spl0_896
  <=> op(op(e5,e3),e1) = op(e5,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).

fof(f2203,plain,
    op(op(e5,e3),e1) = op(e5,op(e3,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7066,plain,
    ( ~ spl0_418
    | ~ spl0_455
    | ~ spl0_580
    | ~ spl0_417 ),
    inference(avatar_split_clause,[],[f1479,f4576,f5354,f4757,f4580]) ).

fof(f1479,plain,
    ( e1 != op(op(e3,e5),op(e3,e5))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(e3,e5) ),
    inference(cnf_transformation,[],[f1437]) ).

fof(f1437,plain,
    ( e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e2 != op(e3,e5)
    | e4 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f128,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(e3,e5)
      & e1 = op(op(e3,e5),op(e3,e5))
      & e4 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).

fof(f7065,plain,
    spl0_895,
    inference(avatar_split_clause,[],[f2123,f7062]) ).

fof(f7062,plain,
    ( spl0_895
  <=> op(op(e3,e0),e4) = op(e3,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).

fof(f2123,plain,
    op(op(e3,e0),e4) = op(e3,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7060,plain,
    ( spl0_894
    | spl0_584
    | spl0_760
    | spl0_346
    | spl0_167
    | spl0_827 ),
    inference(avatar_split_clause,[],[f1499,f6682,f3435,f4245,f6321,f5373,f7057]) ).

fof(f7057,plain,
    ( spl0_894
  <=> e1 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).

fof(f3435,plain,
    ( spl0_167
  <=> e0 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f6682,plain,
    ( spl0_827
  <=> e2 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).

fof(f1499,plain,
    ( e2 = inv(e1)
    | e0 = inv(e1)
    | e5 = inv(e1)
    | e3 = inv(e1)
    | e4 = inv(e1)
    | e1 = inv(e1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f7055,plain,
    spl0_893,
    inference(avatar_split_clause,[],[f2268,f7052]) ).

fof(f7052,plain,
    ( spl0_893
  <=> op(op(e5,e4),e0) = op(e5,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).

fof(f2268,plain,
    op(op(e5,e4),e0) = op(e5,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7050,plain,
    ~ spl0_892,
    inference(avatar_split_clause,[],[f2047,f7047]) ).

fof(f7047,plain,
    ( spl0_892
  <=> op(e1,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).

fof(f2047,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7045,plain,
    ~ spl0_891,
    inference(avatar_split_clause,[],[f1599,f7042]) ).

fof(f7042,plain,
    ( spl0_891
  <=> inv(e0) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).

fof(f1599,plain,
    inv(e0) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f7040,plain,
    ~ spl0_890,
    inference(avatar_split_clause,[],[f1967,f7037]) ).

fof(f7037,plain,
    ( spl0_890
  <=> op(e4,e4) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).

fof(f1967,plain,
    op(e4,e4) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f7035,plain,
    ~ spl0_889,
    inference(avatar_split_clause,[],[f1878,f7032]) ).

fof(f7032,plain,
    ( spl0_889
  <=> op(e1,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).

fof(f1878,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f7030,plain,
    ( ~ spl0_544
    | ~ spl0_124
    | ~ spl0_72
    | ~ spl0_463 ),
    inference(avatar_split_clause,[],[f1844,f4797,f3018,f3242,f5178]) ).

fof(f5178,plain,
    ( spl0_544
  <=> e0 = op(op(e1,e4),op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).

fof(f3018,plain,
    ( spl0_72
  <=> e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f4797,plain,
    ( spl0_463
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).

fof(f1844,plain,
    ( e2 != op(e1,e4)
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f1439]) ).

fof(f1439,plain,
    ( e0 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,e4)
    | e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(ennf_transformation,[],[f730]) ).

fof(f730,axiom,
    ~ ( e3 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e0 = op(op(e1,e4),op(e1,e4))
      & e2 = op(e1,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax730) ).

fof(f7029,plain,
    spl0_888,
    inference(avatar_split_clause,[],[f2135,f7026]) ).

fof(f7026,plain,
    ( spl0_888
  <=> op(op(e3,e4),e0) = op(e3,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).

fof(f2135,plain,
    op(op(e3,e4),e0) = op(e3,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f7024,plain,
    ~ spl0_887,
    inference(avatar_split_clause,[],[f1979,f7021]) ).

fof(f7021,plain,
    ( spl0_887
  <=> op(e1,e0) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).

fof(f1979,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f7019,plain,
    ( ~ spl0_580
    | ~ spl0_144
    | ~ spl0_533
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1711,f3337,f5127,f3333,f5354]) ).

fof(f1711,plain,
    ( e2 != op(op(e3,e5),op(e3,e5))
    | e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(e3,e5)
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(cnf_transformation,[],[f778]) ).

fof(f778,plain,
    ( e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(e3,e5)
    | e2 != op(op(e3,e5),op(e3,e5))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,axiom,
    ~ ( e2 = op(op(e3,e5),op(e3,e5))
      & e0 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e4 = op(e3,e5)
      & e1 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).

fof(f7018,plain,
    ( ~ spl0_245
    | ~ spl0_130
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2609,f2798,f2707,f3268,f3785]) ).

fof(f2609,plain,
    ( e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e4 != op(e0,e3) ),
    inference(cnf_transformation,[],[f742]) ).

fof(f742,plain,
    ( e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e4 != op(e0,e3) ),
    inference(ennf_transformation,[],[f701]) ).

fof(f701,axiom,
    ~ ( e2 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e4 = op(e0,e3)
      & e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e1 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax701) ).

fof(f7017,plain,
    ( ~ spl0_398
    | ~ spl0_783
    | ~ spl0_300
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f2694,f4025,f4033,f6443,f4488]) ).

fof(f2694,plain,
    ( e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,e1)
    | e3 != op(op(e4,e1),op(e4,e1))
    | e2 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1151]) ).

fof(f1151,plain,
    ( e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1) ),
    inference(ennf_transformation,[],[f642]) ).

fof(f642,axiom,
    ~ ( e3 = op(op(e4,e1),op(e4,e1))
      & e0 = op(e4,e1)
      & e2 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax642) ).

fof(f7016,plain,
    ( ~ spl0_84
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1689,f3065,f3069]) ).

fof(f1689,plain,
    ( e5 = inv(e4)
    | e4 != inv(e5) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f7015,plain,
    ( spl0_881
    | spl0_882
    | spl0_883
    | spl0_884
    | spl0_885
    | spl0_886 ),
    inference(avatar_split_clause,[],[f1723,f7012,f7008,f7004,f7000,f6996,f6992]) ).

fof(f6992,plain,
    ( spl0_881
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).

fof(f6996,plain,
    ( spl0_882
  <=> e5 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).

fof(f7000,plain,
    ( spl0_883
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).

fof(f7004,plain,
    ( spl0_884
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).

fof(f7008,plain,
    ( spl0_885
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).

fof(f7012,plain,
    ( spl0_886
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).

fof(f1723,plain,
    ( e3 = op(e4,e4)
    | e4 = op(e4,e4)
    | e2 = op(e4,e4)
    | e0 = op(e4,e4)
    | e5 = op(e4,e4)
    | e1 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6990,plain,
    ( ~ spl0_214
    | ~ spl0_80
    | ~ spl0_183
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1485,f3060,f3505,f3052,f3641]) ).

fof(f1485,plain,
    ( e2 != op(e0,e4)
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e5 != op(op(e0,e4),op(e0,e4))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1000]) ).

fof(f1000,plain,
    ( e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(e0,e4)
    | e5 != op(op(e0,e4),op(e0,e4))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(ennf_transformation,[],[f219]) ).

fof(f219,axiom,
    ~ ( e3 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e2 = op(e0,e4)
      & e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e5 = op(op(e0,e4),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax219) ).

fof(f6989,plain,
    ( ~ spl0_310
    | ~ spl0_171
    | ~ spl0_515
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f1554,f4546,f5036,f3454,f4078]) ).

fof(f5036,plain,
    ( spl0_515
  <=> e0 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).

fof(f1554,plain,
    ( e1 != op(op(e5,e3),op(e5,e3))
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(e5,e3) ),
    inference(cnf_transformation,[],[f872]) ).

fof(f872,plain,
    ( e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,e3)
    | e1 != op(op(e5,e3),op(e5,e3)) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,axiom,
    ~ ( e4 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e1 = op(op(e5,e3),op(e5,e3))
      & e0 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e2 = op(e5,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f6988,plain,
    spl0_880,
    inference(avatar_split_clause,[],[f2265,f6985]) ).

fof(f6985,plain,
    ( spl0_880
  <=> op(op(e1,e4),e5) = op(e1,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).

fof(f2265,plain,
    op(op(e1,e4),e5) = op(e1,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6983,plain,
    ( ~ spl0_635
    | ~ spl0_115
    | ~ spl0_843
    | ~ spl0_667 ),
    inference(avatar_split_clause,[],[f2438,f5792,f6780,f3204,f5627]) ).

fof(f2438,plain,
    ( e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(e5,e0) ),
    inference(cnf_transformation,[],[f1216]) ).

fof(f1216,plain,
    ( e1 != op(e5,e0)
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(ennf_transformation,[],[f378]) ).

fof(f378,axiom,
    ~ ( e4 = op(op(e5,e0),op(e5,e0))
      & e1 = op(e5,e0)
      & e2 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax378) ).

fof(f6982,plain,
    spl0_879,
    inference(avatar_split_clause,[],[f2529,f6979]) ).

fof(f6979,plain,
    ( spl0_879
  <=> e5 = op(e5,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).

fof(f2529,plain,
    e5 = op(e5,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f6977,plain,
    ( ~ spl0_332
    | ~ spl0_330
    | ~ spl0_637
    | ~ spl0_541 ),
    inference(avatar_split_clause,[],[f2483,f5164,f5636,f4172,f4180]) ).

fof(f2483,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(e3,e2) ),
    inference(cnf_transformation,[],[f841]) ).

fof(f841,plain,
    ( e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(e3,e2)
    | e1 != op(op(e3,e2),op(e3,e2))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(ennf_transformation,[],[f678]) ).

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

fof(f6976,plain,
    ( ~ spl0_299
    | ~ spl0_298
    | ~ spl0_586
    | ~ spl0_400 ),
    inference(avatar_split_clause,[],[f2622,f4496,f5385,f4025,f4029]) ).

fof(f4496,plain,
    ( spl0_400
  <=> e0 = op(op(e4,e1),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f2622,plain,
    ( e0 != op(op(e4,e1),op(e4,e1))
    | e2 != op(e4,e1)
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f793]) ).

fof(f793,plain,
    ( e2 != op(e4,e1)
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,e1),op(e4,e1))
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(ennf_transformation,[],[f650]) ).

fof(f650,axiom,
    ~ ( e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e3 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e0 = op(op(e4,e1),op(e4,e1))
      & e2 = op(e4,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax650) ).

fof(f6975,plain,
    ~ spl0_878,
    inference(avatar_split_clause,[],[f1606,f6972]) ).

fof(f6972,plain,
    ( spl0_878
  <=> inv(e1) = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).

fof(f1606,plain,
    inv(e1) != inv(e2),
    inference(cnf_transformation,[],[f8]) ).

fof(f6970,plain,
    ( ~ spl0_190
    | spl0_877 ),
    inference(avatar_split_clause,[],[f1673,f6967,f3536]) ).

fof(f1673,plain,
    ( e3 = inv(e5)
    | e5 != inv(e3) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6965,plain,
    ~ spl0_876,
    inference(avatar_split_clause,[],[f2028,f6962]) ).

fof(f6962,plain,
    ( spl0_876
  <=> op(e2,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).

fof(f2028,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f6960,plain,
    ~ spl0_875,
    inference(avatar_split_clause,[],[f1943,f6957]) ).

fof(f6957,plain,
    ( spl0_875
  <=> op(e1,e4) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).

fof(f1943,plain,
    op(e1,e4) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6955,plain,
    spl0_874,
    inference(avatar_split_clause,[],[f2236,f6952]) ).

fof(f6952,plain,
    ( spl0_874
  <=> op(op(e3,e1),e5) = op(e3,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).

fof(f2236,plain,
    op(op(e3,e1),e5) = op(e3,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6950,plain,
    ( ~ spl0_449
    | ~ spl0_604
    | ~ spl0_603
    | ~ spl0_448 ),
    inference(avatar_split_clause,[],[f2481,f4724,f5473,f5477,f4728]) ).

fof(f2481,plain,
    ( e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(e5,e2)
    | e3 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f941]) ).

fof(f941,plain,
    ( e3 != op(op(e5,e2),op(e5,e2))
    | e4 != op(e5,e2)
    | e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ~ ( e3 = op(op(e5,e2),op(e5,e2))
      & e4 = op(e5,e2)
      & e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e1 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f6949,plain,
    ( ~ spl0_193
    | ~ spl0_196
    | ~ spl0_539
    | ~ spl0_745 ),
    inference(avatar_split_clause,[],[f1775,f6227,f5154,f3561,f3549]) ).

fof(f1775,plain,
    ( e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5))
    | e1 != op(e2,e5)
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f1142]) ).

fof(f1142,plain,
    ( e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(e2,e5)
    | e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f488]) ).

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

fof(f6948,plain,
    ( ~ spl0_616
    | ~ spl0_617
    | ~ spl0_22
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f2364,f3789,f2798,f5540,f5536]) ).

fof(f3789,plain,
    ( spl0_246
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f2364,plain,
    ( e1 != op(e0,e3)
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f1235]) ).

fof(f1235,plain,
    ( e1 != op(e0,e3)
    | e5 != op(op(e0,e3),op(e0,e3))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f579]) ).

fof(f579,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e1 = op(e0,e3)
      & e5 = op(op(e0,e3),op(e0,e3))
      & e2 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax579) ).

fof(f6947,plain,
    ( ~ spl0_479
    | ~ spl0_226
    | ~ spl0_423
    | ~ spl0_354 ),
    inference(avatar_split_clause,[],[f2069,f4282,f4604,f3697,f4871]) ).

fof(f3697,plain,
    ( spl0_226
  <=> e2 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f2069,plain,
    ( e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,e5)
    | e3 != op(op(e0,e5),op(e0,e5)) ),
    inference(cnf_transformation,[],[f1411]) ).

fof(f1411,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,e5)
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e1 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f597]) ).

fof(f597,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e2 = op(e0,e5)
      & e3 = op(op(e0,e5),op(e0,e5))
      & e1 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax597) ).

fof(f6946,plain,
    ( ~ spl0_178
    | ~ spl0_260
    | ~ spl0_181
    | ~ spl0_599 ),
    inference(avatar_split_clause,[],[f2553,f5449,f3496,f3851,f3484]) ).

fof(f2553,plain,
    ( e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(e2,e4)
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f1011]) ).

fof(f1011,plain,
    ( e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,e4) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ~ ( e5 = op(e2,e4)
      & e0 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e3 = op(op(e2,e4),op(e2,e4))
      & e1 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f6945,plain,
    ( ~ spl0_621
    | ~ spl0_147
    | ~ spl0_146
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f1653,f5419,f3342,f3346,f5560]) ).

fof(f3342,plain,
    ( spl0_146
  <=> e2 = op(op(e4,e0),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f5419,plain,
    ( spl0_593
  <=> e5 = op(e4,op(op(e4,e0),op(e4,e0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).

fof(f1653,plain,
    ( e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,e0),op(e4,e0))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(e4,e0) ),
    inference(cnf_transformation,[],[f810]) ).

fof(f810,plain,
    ( e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,e0),op(e4,e0))
    | e3 != op(e4,e0)
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f152]) ).

fof(f152,axiom,
    ~ ( e2 = op(op(e4,e0),op(e4,e0))
      & e5 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e3 = op(e4,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).

fof(f6944,plain,
    ~ spl0_873,
    inference(avatar_split_clause,[],[f1926,f6941]) ).

fof(f6941,plain,
    ( spl0_873
  <=> op(e2,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).

fof(f1926,plain,
    op(e2,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6939,plain,
    ( ~ spl0_252
    | ~ spl0_76
    | ~ spl0_281
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2421,f3043,f3946,f3035,f3815]) ).

fof(f2421,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e5 != op(e2,e1)
    | e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(cnf_transformation,[],[f1136]) ).

fof(f1136,plain,
    ( e5 != op(e2,e1)
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e3 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f521]) ).

fof(f521,axiom,
    ~ ( e5 = op(e2,e1)
      & e0 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e3 = op(op(e2,e1),op(e2,e1))
      & e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax521) ).

fof(f6938,plain,
    spl0_872,
    inference(avatar_split_clause,[],[f2188,f6935]) ).

fof(f6935,plain,
    ( spl0_872
  <=> op(op(e3,e0),e3) = op(e3,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).

fof(f2188,plain,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6933,plain,
    spl0_871,
    inference(avatar_split_clause,[],[f2288,f6930]) ).

fof(f6930,plain,
    ( spl0_871
  <=> op(op(e1,e0),e4) = op(e1,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).

fof(f2288,plain,
    op(op(e1,e0),e4) = op(e1,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6928,plain,
    ( spl0_869
    | spl0_366
    | spl0_308
    | spl0_94
    | spl0_870
    | spl0_402 ),
    inference(avatar_split_clause,[],[f1727,f4505,f6925,f3114,f4068,f4338,f6921]) ).

fof(f6921,plain,
    ( spl0_869
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).

fof(f6925,plain,
    ( spl0_870
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).

fof(f1727,plain,
    ( e0 = op(e2,e3)
    | e2 = op(e2,e3)
    | e4 = op(e2,e3)
    | e1 = op(e2,e3)
    | e5 = op(e2,e3)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6919,plain,
    ( ~ spl0_525
    | ~ spl0_524
    | ~ spl0_678
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f2689,f3855,f5852,f5083,f5087]) ).

fof(f2689,plain,
    ( e1 != op(e2,e4)
    | e0 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f901]) ).

fof(f901,plain,
    ( e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,e4),op(e2,e4))
    | e1 != op(e2,e4) ),
    inference(ennf_transformation,[],[f464]) ).

fof(f464,axiom,
    ~ ( e5 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(op(e2,e4),op(e2,e4))
      & e1 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax464) ).

fof(f6918,plain,
    ( ~ spl0_695
    | ~ spl0_362
    | ~ spl0_714
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f2581,f4324,f6049,f4320,f5947]) ).

fof(f2581,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e1 != op(e3,e2)
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f1317]) ).

fof(f1317,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(ennf_transformation,[],[f560]) ).

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

fof(f6917,plain,
    ( ~ spl0_516
    | ~ spl0_250
    | ~ spl0_252
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1812,f3043,f3815,f3807,f5042]) ).

fof(f1812,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(e2,e1) ),
    inference(cnf_transformation,[],[f1113]) ).

fof(f1113,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1)
    | e5 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(ennf_transformation,[],[f535]) ).

fof(f535,axiom,
    ~ ( e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(op(e2,e1),op(e2,e1))
      & e0 = op(e2,e1)
      & e5 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax535) ).

fof(f6916,plain,
    ( ~ spl0_186
    | ~ spl0_203
    | ~ spl0_673
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f2575,f3588,f5822,f3592,f3519]) ).

fof(f2575,plain,
    ( e1 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f1055]) ).

fof(f1055,plain,
    ( e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,e0) ),
    inference(ennf_transformation,[],[f618]) ).

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

fof(f6915,plain,
    ( ~ spl0_129
    | ~ spl0_616
    | ~ spl0_128
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f1614,f3789,f3260,f5536,f3264]) ).

fof(f1614,plain,
    ( e1 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,e3),op(e0,e3))
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f1144]) ).

fof(f1144,plain,
    ( e1 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,e3),op(e0,e3))
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(ennf_transformation,[],[f315]) ).

fof(f315,axiom,
    ~ ( e2 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e5 = op(op(e0,e3),op(e0,e3))
      & e4 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e1 = op(e0,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax315) ).

fof(f6914,plain,
    spl0_868,
    inference(avatar_split_clause,[],[f2239,f6911]) ).

fof(f6911,plain,
    ( spl0_868
  <=> op(op(e1,e3),e0) = op(e1,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).

fof(f2239,plain,
    op(op(e1,e3),e0) = op(e1,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6909,plain,
    ( ~ spl0_828
    | spl0_827 ),
    inference(avatar_split_clause,[],[f1688,f6682,f6686]) ).

fof(f1688,plain,
    ( e2 = inv(e1)
    | e1 != inv(e2) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6908,plain,
    ~ spl0_867,
    inference(avatar_split_clause,[],[f1896,f6905]) ).

fof(f6905,plain,
    ( spl0_867
  <=> op(e3,e1) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).

fof(f1896,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6903,plain,
    ( ~ spl0_259
    | ~ spl0_179
    | ~ spl0_181
    | ~ spl0_678 ),
    inference(avatar_split_clause,[],[f1772,f5852,f3496,f3488,f3847]) ).

fof(f1772,plain,
    ( e0 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,e4)
    | e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f865]) ).

fof(f865,plain,
    ( e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e0 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,e4)
    | e3 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f220]) ).

fof(f220,axiom,
    ~ ( e5 = op(e2,e4)
      & e3 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e0 = op(op(e2,e4),op(e2,e4))
      & e1 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax220) ).

fof(f6902,plain,
    spl0_866,
    inference(avatar_split_clause,[],[f2266,f6899]) ).

fof(f6899,plain,
    ( spl0_866
  <=> op(op(e0,e3),e5) = op(e0,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).

fof(f2266,plain,
    op(op(e0,e3),e5) = op(e0,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6897,plain,
    ~ spl0_865,
    inference(avatar_split_clause,[],[f1872,f6894]) ).

fof(f6894,plain,
    ( spl0_865
  <=> op(e2,e3) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).

fof(f1872,plain,
    op(e2,e3) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6892,plain,
    spl0_864,
    inference(avatar_split_clause,[],[f2114,f6889]) ).

fof(f6889,plain,
    ( spl0_864
  <=> op(op(e5,e4),e1) = op(e5,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).

fof(f2114,plain,
    op(op(e5,e4),e1) = op(e5,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6887,plain,
    ~ spl0_863,
    inference(avatar_split_clause,[],[f1885,f6884]) ).

fof(f6884,plain,
    ( spl0_863
  <=> op(e3,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).

fof(f1885,plain,
    op(e3,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6882,plain,
    ( ~ spl0_200
    | ~ spl0_434
    | ~ spl0_98
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1538,f3410,f3131,f4658,f3579]) ).

fof(f1538,plain,
    ( e0 != op(e3,e1)
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(op(e3,e1),op(e3,e1))
    | e5 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(cnf_transformation,[],[f1222]) ).

fof(f1222,plain,
    ( e2 != op(op(e3,e1),op(e3,e1))
    | e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(e3,e1)
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(ennf_transformation,[],[f534]) ).

fof(f534,axiom,
    ~ ( e2 = op(op(e3,e1),op(e3,e1))
      & e4 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e0 = op(e3,e1)
      & e5 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax534) ).

fof(f6881,plain,
    ( spl0_148
    | spl0_861
    | spl0_202
    | spl0_592
    | spl0_862
    | spl0_621 ),
    inference(avatar_split_clause,[],[f1746,f5560,f6878,f5415,f3588,f6874,f3350]) ).

fof(f6874,plain,
    ( spl0_861
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).

fof(f6878,plain,
    ( spl0_862
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).

fof(f1746,plain,
    ( e3 = op(e4,e0)
    | e0 = op(e4,e0)
    | e2 = op(e4,e0)
    | e1 = op(e4,e0)
    | e4 = op(e4,e0)
    | e5 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6872,plain,
    spl0_860,
    inference(avatar_split_clause,[],[f2271,f6869]) ).

fof(f6869,plain,
    ( spl0_860
  <=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).

fof(f2271,plain,
    op(op(e1,e3),e2) = op(e1,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6867,plain,
    ( spl0_854
    | spl0_855
    | spl0_856
    | spl0_857
    | spl0_858
    | spl0_859 ),
    inference(avatar_split_clause,[],[f1733,f6864,f6860,f6856,f6852,f6848,f6844]) ).

fof(f6844,plain,
    ( spl0_854
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).

fof(f6848,plain,
    ( spl0_855
  <=> e5 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).

fof(f6852,plain,
    ( spl0_856
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).

fof(f6856,plain,
    ( spl0_857
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).

fof(f6860,plain,
    ( spl0_858
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).

fof(f6864,plain,
    ( spl0_859
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).

fof(f1733,plain,
    ( e3 = op(e3,e3)
    | e2 = op(e3,e3)
    | e1 = op(e3,e3)
    | e4 = op(e3,e3)
    | e5 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6842,plain,
    spl0_853,
    inference(avatar_split_clause,[],[f2220,f6839]) ).

fof(f6839,plain,
    ( spl0_853
  <=> op(op(e4,e1),e4) = op(e4,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).

fof(f2220,plain,
    op(op(e4,e1),e4) = op(e4,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6837,plain,
    ( ~ spl0_406
    | ~ spl0_722
    | ~ spl0_88
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1563,f3074,f3086,f6095,f4524]) ).

fof(f3074,plain,
    ( spl0_85
  <=> e3 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1563,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e5 != op(e1,e2)
    | e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(cnf_transformation,[],[f1097]) ).

fof(f1097,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e5 != op(e1,e2)
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(ennf_transformation,[],[f545]) ).

fof(f545,axiom,
    ~ ( e3 = op(op(e1,e2),op(e1,e2))
      & e0 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(e1,e2)
      & e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax545) ).

fof(f6836,plain,
    ~ spl0_852,
    inference(avatar_split_clause,[],[f1914,f6833]) ).

fof(f6833,plain,
    ( spl0_852
  <=> op(e3,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).

fof(f1914,plain,
    op(e3,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6831,plain,
    spl0_851,
    inference(avatar_split_clause,[],[f2521,f6828]) ).

fof(f6828,plain,
    ( spl0_851
  <=> e5 = op(unit,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).

fof(f2521,plain,
    e5 = op(unit,e5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6826,plain,
    ( ~ spl0_229
    | ~ spl0_228
    | ~ spl0_249
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f2070,f4714,f3802,f3706,f3710]) ).

fof(f2070,plain,
    ( e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e0 != op(e2,e5)
    | e3 != op(op(e2,e5),op(e2,e5))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f1058]) ).

fof(f1058,plain,
    ( e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(e2,e5)
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f595]) ).

fof(f595,axiom,
    ~ ( e0 = op(e2,e5)
      & e3 = op(op(e2,e5),op(e2,e5))
      & e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e1 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax595) ).

fof(f6825,plain,
    ( ~ spl0_327
    | ~ spl0_703
    | ~ spl0_680
    | ~ spl0_474 ),
    inference(avatar_split_clause,[],[f2645,f4847,f5862,f5990,f4158]) ).

fof(f5862,plain,
    ( spl0_680
  <=> e0 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).

fof(f2645,plain,
    ( e3 != op(e4,e2)
    | e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f1380]) ).

fof(f1380,plain,
    ( e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e3 != op(e4,e2)
    | e0 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f662]) ).

fof(f662,axiom,
    ~ ( e3 = op(e4,e2)
      & e0 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e1 = op(op(e4,e2),op(e4,e2))
      & e5 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax662) ).

fof(f6824,plain,
    ( ~ spl0_278
    | ~ spl0_317
    | ~ spl0_15
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f1776,f4310,f2768,f4110,f3933]) ).

fof(f1776,plain,
    ( e4 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0)
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(cnf_transformation,[],[f939]) ).

fof(f939,plain,
    ( e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0)
    | e5 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f271]) ).

fof(f271,axiom,
    ~ ( e1 = op(e3,e0)
      & e4 = op(op(e3,e0),op(e3,e0))
      & e2 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e5 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax271) ).

fof(f6823,plain,
    spl0_850,
    inference(avatar_split_clause,[],[f2152,f6820]) ).

fof(f6820,plain,
    ( spl0_850
  <=> op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).

fof(f2152,plain,
    op(op(e5,e5),e5) = op(e5,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6818,plain,
    ( ~ spl0_633
    | ~ spl0_701
    | ~ spl0_700
    | ~ spl0_667 ),
    inference(avatar_split_clause,[],[f1522,f5792,f5974,f5978,f5619]) ).

fof(f1522,plain,
    ( e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(e5,e0) ),
    inference(cnf_transformation,[],[f1321]) ).

fof(f1321,plain,
    ( e2 != op(e5,e0)
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(op(e5,e0),op(e5,e0))
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(ennf_transformation,[],[f386]) ).

fof(f386,axiom,
    ~ ( e2 = op(e5,e0)
      & e3 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e4 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e1 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax386) ).

fof(f6817,plain,
    ( ~ spl0_641
    | ~ spl0_682
    | ~ spl0_719
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2624,f2825,f6074,f5873,f5657]) ).

fof(f2624,plain,
    ( e2 != op(e3,e4)
    | e1 != op(op(e3,e4),op(e3,e4))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f1126]) ).

fof(f1126,plain,
    ( e2 != op(e3,e4)
    | e1 != op(op(e3,e4),op(e3,e4))
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(ennf_transformation,[],[f710]) ).

fof(f710,axiom,
    ~ ( e0 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e5 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e1 = op(op(e3,e4),op(e3,e4))
      & e2 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax710) ).

fof(f6816,plain,
    ( ~ spl0_287
    | ~ spl0_87
    | ~ spl0_407
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2355,f3074,f4528,f3082,f3975]) ).

fof(f2355,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f1186]) ).

fof(f1186,plain,
    ( e4 != op(e1,e2)
    | e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(op(e1,e2),op(e1,e2))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ~ ( e4 = op(e1,e2)
      & e5 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e3 = op(op(e1,e2),op(e1,e2))
      & e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f6815,plain,
    ( ~ spl0_133
    | ~ spl0_655
    | ~ spl0_134
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f1766,f5409,f3286,f5732,f3282]) ).

fof(f1766,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e3 != op(e1,e0)
    | e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f1347]) ).

fof(f1347,plain,
    ( e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(e1,e0)
    | e2 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f515]) ).

fof(f515,axiom,
    ~ ( e2 = op(op(e1,e0),op(e1,e0))
      & e4 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e5 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e3 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax515) ).

fof(f6814,plain,
    ~ spl0_849,
    inference(avatar_split_clause,[],[f2031,f6811]) ).

fof(f6811,plain,
    ( spl0_849
  <=> op(e4,e3) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).

fof(f2031,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6809,plain,
    spl0_848,
    inference(avatar_split_clause,[],[f2127,f6806]) ).

fof(f6806,plain,
    ( spl0_848
  <=> op(op(e3,e5),e3) = op(e3,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).

fof(f2127,plain,
    op(op(e3,e5),e3) = op(e3,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6804,plain,
    ~ spl0_847,
    inference(avatar_split_clause,[],[f1894,f6801]) ).

fof(f6801,plain,
    ( spl0_847
  <=> op(e0,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).

fof(f1894,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6799,plain,
    ( ~ spl0_203
    | ~ spl0_673
    | ~ spl0_592
    | ~ spl0_546 ),
    inference(avatar_split_clause,[],[f1577,f5188,f5415,f5822,f3592]) ).

fof(f1577,plain,
    ( e1 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(cnf_transformation,[],[f868]) ).

fof(f868,plain,
    ( e2 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f612]) ).

fof(f612,axiom,
    ~ ( e3 = op(op(e4,e0),op(e4,e0))
      & e5 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e1 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e2 = op(e4,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax612) ).

fof(f6798,plain,
    spl0_846,
    inference(avatar_split_clause,[],[f2240,f6795]) ).

fof(f6795,plain,
    ( spl0_846
  <=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).

fof(f2240,plain,
    op(op(e1,e2),e1) = op(e1,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6793,plain,
    ( ~ spl0_540
    | ~ spl0_162
    | ~ spl0_201
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f1762,f5269,f3583,f3414,f5159]) ).

fof(f1762,plain,
    ( e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,e1)
    | e2 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(cnf_transformation,[],[f1229]) ).

fof(f1229,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(e3,e1) ),
    inference(ennf_transformation,[],[f646]) ).

fof(f646,axiom,
    ~ ( e2 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e0 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax646) ).

fof(f6792,plain,
    ( spl0_198
    | spl0_425
    | spl0_844
    | spl0_46
    | spl0_119
    | spl0_845 ),
    inference(avatar_split_clause,[],[f1724,f6789,f3221,f2903,f6785,f4613,f3570]) ).

fof(f6785,plain,
    ( spl0_844
  <=> e5 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).

fof(f6789,plain,
    ( spl0_845
  <=> e1 = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).

fof(f1724,plain,
    ( e1 = op(e1,e5)
    | e4 = op(e1,e5)
    | e2 = op(e1,e5)
    | e5 = op(e1,e5)
    | e0 = op(e1,e5)
    | e3 = op(e1,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6783,plain,
    ( ~ spl0_633
    | ~ spl0_667
    | ~ spl0_843
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f2577,f4145,f6780,f5792,f5619]) ).

fof(f2577,plain,
    ( e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(op(e5,e0),op(e5,e0))
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(e5,e0) ),
    inference(cnf_transformation,[],[f1211]) ).

fof(f1211,plain,
    ( e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(e5,e0)
    | e4 != op(op(e5,e0),op(e5,e0)) ),
    inference(ennf_transformation,[],[f372]) ).

fof(f372,axiom,
    ~ ( e1 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e3 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e2 = op(e5,e0)
      & e4 = op(op(e5,e0),op(e5,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax372) ).

fof(f6778,plain,
    ( ~ spl0_269
    | ~ spl0_214
    | ~ spl0_82
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f1548,f3886,f3060,f3641,f3890]) ).

fof(f1548,plain,
    ( e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(e0,e4)
    | e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,e4),op(e0,e4)) ),
    inference(cnf_transformation,[],[f1070]) ).

fof(f1070,plain,
    ( e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e2 != op(e0,e4)
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f731]) ).

fof(f731,axiom,
    ~ ( e3 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e2 = op(e0,e4)
      & e5 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e1 = op(op(e0,e4),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax731) ).

fof(f6777,plain,
    ( ~ spl0_339
    | ~ spl0_113
    | ~ spl0_207
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2512,f3614,f3610,f3195,f4214]) ).

fof(f3610,plain,
    ( spl0_207
  <=> e3 = op(op(e5,e1),op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f2512,plain,
    ( e2 != op(e5,e1)
    | e3 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(cnf_transformation,[],[f1047]) ).

fof(f1047,plain,
    ( e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(e5,e1)
    | e3 != op(op(e5,e1),op(e5,e1))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(ennf_transformation,[],[f516]) ).

fof(f516,axiom,
    ~ ( e0 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e4 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e3 = op(op(e5,e1),op(e5,e1))
      & e2 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax516) ).

fof(f6776,plain,
    ( ~ spl0_338
    | ~ spl0_576
    | ~ spl0_478
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f1482,f4136,f4866,f5333,f4210]) ).

fof(f1482,plain,
    ( e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1372]) ).

fof(f1372,plain,
    ( e4 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1)
    | e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f282,axiom,
    ~ ( e0 = op(e5,e1)
      & e2 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e3 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e4 = op(op(e5,e1),op(e5,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax282) ).

fof(f6775,plain,
    ( ~ spl0_472
    | ~ spl0_255
    | ~ spl0_703
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f2563,f3834,f5990,f3830,f4839]) ).

fof(f3834,plain,
    ( spl0_256
  <=> e3 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f2563,plain,
    ( e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(e4,e2) ),
    inference(cnf_transformation,[],[f821]) ).

fof(f821,plain,
    ( e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,e2) ),
    inference(ennf_transformation,[],[f46]) ).

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

fof(f6774,plain,
    ( spl0_841
    | spl0_575
    | spl0_208
    | spl0_842
    | spl0_338
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1732,f3187,f4210,f6771,f3614,f5329,f6767]) ).

fof(f6767,plain,
    ( spl0_841
  <=> e1 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).

fof(f6771,plain,
    ( spl0_842
  <=> e5 = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).

fof(f1732,plain,
    ( e4 = op(e5,e1)
    | e0 = op(e5,e1)
    | e5 = op(e5,e1)
    | e2 = op(e5,e1)
    | e3 = op(e5,e1)
    | e1 = op(e5,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6765,plain,
    ( ~ spl0_271
    | ~ spl0_463
    | ~ spl0_544
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f2061,f3904,f5178,f4797,f3900]) ).

fof(f3900,plain,
    ( spl0_271
  <=> e3 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f3904,plain,
    ( spl0_272
  <=> e5 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f2061,plain,
    ( e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,e4)
    | e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(cnf_transformation,[],[f1205]) ).

fof(f1205,plain,
    ( e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(e1,e4)
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,e4),op(e1,e4)) ),
    inference(ennf_transformation,[],[f466]) ).

fof(f466,axiom,
    ~ ( e5 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e2 = op(e1,e4)
      & e0 = op(op(e1,e4),op(e1,e4))
      & e3 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax466) ).

fof(f6764,plain,
    ( ~ spl0_224
    | ~ spl0_495
    | ~ spl0_423
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f1821,f3697,f4604,f4944,f3689]) ).

fof(f3689,plain,
    ( spl0_224
  <=> e1 = op(op(e0,e5),op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f1821,plain,
    ( e2 != op(e0,e5)
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,e5),op(e0,e5)) ),
    inference(cnf_transformation,[],[f926]) ).

fof(f926,plain,
    ( e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e1 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,e5) ),
    inference(ennf_transformation,[],[f611]) ).

fof(f611,axiom,
    ~ ( e1 = op(op(e0,e5),op(e0,e5))
      & e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e3 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax611) ).

fof(f6763,plain,
    ( ~ spl0_718
    | ~ spl0_375
    | ~ spl0_642
    | ~ spl0_754 ),
    inference(avatar_split_clause,[],[f1799,f6283,f5661,f4378,f6070]) ).

fof(f1799,plain,
    ( e0 != op(op(e3,e4),op(e3,e4))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e5 != op(e3,e4)
    | e2 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f1171]) ).

fof(f1171,plain,
    ( e2 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,e4) ),
    inference(ennf_transformation,[],[f214]) ).

fof(f214,axiom,
    ~ ( e0 = op(op(e3,e4),op(e3,e4))
      & e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e2 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e5 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax214) ).

fof(f6762,plain,
    spl0_840,
    inference(avatar_split_clause,[],[f2294,f6759]) ).

fof(f6759,plain,
    ( spl0_840
  <=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).

fof(f2294,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6757,plain,
    ~ spl0_839,
    inference(avatar_split_clause,[],[f1900,f6754]) ).

fof(f6754,plain,
    ( spl0_839
  <=> op(e5,e2) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).

fof(f1900,plain,
    op(e5,e2) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6752,plain,
    spl0_838,
    inference(avatar_split_clause,[],[f2113,f6749]) ).

fof(f6749,plain,
    ( spl0_838
  <=> op(op(e2,e0),e1) = op(e2,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).

fof(f2113,plain,
    op(op(e2,e0),e1) = op(e2,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6747,plain,
    ~ spl0_837,
    inference(avatar_split_clause,[],[f1597,f6744]) ).

fof(f6744,plain,
    ( spl0_837
  <=> inv(e3) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).

fof(f1597,plain,
    inv(e3) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f6742,plain,
    ~ spl0_836,
    inference(avatar_split_clause,[],[f1996,f6739]) ).

fof(f6739,plain,
    ( spl0_836
  <=> op(e4,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).

fof(f1996,plain,
    op(e4,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6737,plain,
    ( ~ spl0_129
    | ~ spl0_245
    | ~ spl0_130
    | ~ spl0_494 ),
    inference(avatar_split_clause,[],[f1521,f4939,f3268,f3785,f3264]) ).

fof(f1521,plain,
    ( e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e4 != op(e0,e3)
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f940]) ).

fof(f940,plain,
    ( e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(e0,e3)
    | e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(ennf_transformation,[],[f323]) ).

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

fof(f6736,plain,
    ~ spl0_835,
    inference(avatar_split_clause,[],[f2447,f6733]) ).

fof(f6733,plain,
    ( spl0_835
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).

fof(f2447,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f6731,plain,
    spl0_834,
    inference(avatar_split_clause,[],[f2211,f6728]) ).

fof(f6728,plain,
    ( spl0_834
  <=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).

fof(f2211,plain,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6726,plain,
    ( ~ spl0_327
    | ~ spl0_328
    | ~ spl0_703
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f2547,f3834,f5990,f4162,f4158]) ).

fof(f2547,plain,
    ( e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e0 != op(e4,e2)
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f887]) ).

fof(f887,plain,
    ( e0 != op(e4,e2)
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(ennf_transformation,[],[f672]) ).

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

fof(f6725,plain,
    ~ spl0_833,
    inference(avatar_split_clause,[],[f1950,f6722]) ).

fof(f6722,plain,
    ( spl0_833
  <=> op(e5,e3) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).

fof(f1950,plain,
    op(e5,e3) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6720,plain,
    ( ~ spl0_180
    | ~ spl0_619
    | ~ spl0_262
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1642,f3488,f3859,f5551,f3492]) ).

fof(f1642,plain,
    ( e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4))
    | e3 != op(e2,e4)
    | e0 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f1246]) ).

fof(f1246,plain,
    ( e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4))
    | e3 != op(e2,e4)
    | e0 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f207]) ).

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

fof(f6719,plain,
    spl0_832,
    inference(avatar_split_clause,[],[f2199,f6716]) ).

fof(f6716,plain,
    ( spl0_832
  <=> op(op(e3,e2),e5) = op(e3,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).

fof(f2199,plain,
    op(op(e3,e2),e5) = op(e3,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6714,plain,
    ( ~ spl0_281
    | ~ spl0_252
    | ~ spl0_251
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f2056,f2746,f3811,f3815,f3946]) ).

fof(f2056,plain,
    ( e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,e1),op(e2,e1))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,e1) ),
    inference(cnf_transformation,[],[f1360]) ).

fof(f1360,plain,
    ( e0 != op(op(e2,e1),op(e2,e1))
    | e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,e1) ),
    inference(ennf_transformation,[],[f532]) ).

fof(f532,axiom,
    ~ ( e5 = op(e2,e1)
      & e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e0 = op(op(e2,e1),op(e2,e1))
      & e3 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax532) ).

fof(f6713,plain,
    ( ~ spl0_54
    | ~ spl0_57
    | ~ spl0_548
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f2412,f4963,f5197,f2951,f2939]) ).

fof(f2412,plain,
    ( e1 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(e4,e3)
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f1201]) ).

fof(f1201,plain,
    ( e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(e4,e3) ),
    inference(ennf_transformation,[],[f696]) ).

fof(f696,axiom,
    ~ ( e1 = op(op(e4,e3),op(e4,e3))
      & e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e0 = op(e4,e3)
      & e2 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax696) ).

fof(f6712,plain,
    ( ~ spl0_468
    | ~ spl0_751
    | ~ spl0_762
    | ~ spl0_652 ),
    inference(avatar_split_clause,[],[f2567,f5714,f6330,f6263,f4822]) ).

fof(f2567,plain,
    ( e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(e0,e2) ),
    inference(cnf_transformation,[],[f994]) ).

fof(f994,plain,
    ( e3 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,e2) ),
    inference(ennf_transformation,[],[f561]) ).

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

fof(f6711,plain,
    ( ~ spl0_420
    | ~ spl0_421
    | ~ spl0_751
    | ~ spl0_687 ),
    inference(avatar_split_clause,[],[f2614,f5901,f6263,f4593,f4589]) ).

fof(f2614,plain,
    ( e4 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,e2) ),
    inference(cnf_transformation,[],[f1005]) ).

fof(f1005,plain,
    ( e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(e0,e2)
    | e4 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f177]) ).

fof(f177,axiom,
    ~ ( e3 = op(e0,e2)
      & e4 = op(op(e0,e2),op(e0,e2))
      & e5 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e1 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax177) ).

fof(f6710,plain,
    ( ~ spl0_643
    | ~ spl0_652
    | ~ spl0_468
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f1585,f4585,f4822,f5714,f5666]) ).

fof(f1585,plain,
    ( e5 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,e2)
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f1434]) ).

fof(f1434,plain,
    ( e1 != op(e0,e2)
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f555]) ).

fof(f555,axiom,
    ~ ( e1 = op(e0,e2)
      & e3 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e5 = op(op(e0,e2),op(e0,e2))
      & e4 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax555) ).

fof(f6709,plain,
    ( ~ spl0_536
    | ~ spl0_626
    | ~ spl0_534
    | ~ spl0_609 ),
    inference(avatar_split_clause,[],[f2603,f5499,f5132,f5587,f5140]) ).

fof(f2603,plain,
    ( e3 != op(e0,e1)
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,e1),op(e0,e1)) ),
    inference(cnf_transformation,[],[f1062]) ).

fof(f1062,plain,
    ( e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(e0,e1)
    | e4 != op(op(e0,e1),op(e0,e1))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(ennf_transformation,[],[f297]) ).

fof(f297,axiom,
    ~ ( e4 = op(op(e0,e1),op(e0,e1))
      & e5 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e3 = op(e0,e1)
      & e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax297) ).

fof(f6708,plain,
    ( ~ spl0_358
    | ~ spl0_41
    | ~ spl0_831
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f2470,f4537,f6705,f2881,f4300]) ).

fof(f2470,plain,
    ( e0 != op(e5,e2)
    | e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(op(e5,e2),op(e5,e2)) ),
    inference(cnf_transformation,[],[f1199]) ).

fof(f1199,plain,
    ( e0 != op(e5,e2)
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e1 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f432]) ).

fof(f432,axiom,
    ~ ( e0 = op(e5,e2)
      & e1 = op(op(e5,e2),op(e5,e2))
      & e4 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e3 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax432) ).

fof(f6703,plain,
    ( ~ spl0_402
    | ~ spl0_824
    | ~ spl0_401
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f2640,f4064,f4501,f6663,f4505]) ).

fof(f2640,plain,
    ( e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,e3),op(e2,e3))
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f983]) ).

fof(f983,plain,
    ( e0 != op(e2,e3)
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f193]) ).

fof(f193,axiom,
    ~ ( e5 = op(op(e2,e3),op(e2,e3))
      & e4 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e1 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e0 = op(e2,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax193) ).

fof(f6702,plain,
    ( ~ spl0_74
    | ~ spl0_272
    | ~ spl0_126
    | ~ spl0_463 ),
    inference(avatar_split_clause,[],[f2428,f4797,f3250,f3904,f3026]) ).

fof(f2428,plain,
    ( e2 != op(e1,e4)
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f1294]) ).

fof(f1294,plain,
    ( e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,e4) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,axiom,
    ~ ( e2 = op(e1,e4)
      & e3 = op(op(e1,e4),op(e1,e4))
      & e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e5 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).

fof(f6701,plain,
    spl0_830,
    inference(avatar_split_clause,[],[f2128,f6698]) ).

fof(f6698,plain,
    ( spl0_830
  <=> op(op(e3,e5),e2) = op(e3,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).

fof(f2128,plain,
    op(op(e3,e5),e2) = op(e3,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6696,plain,
    ( ~ spl0_613
    | ~ spl0_50
    | ~ spl0_48
    | ~ spl0_644 ),
    inference(avatar_split_clause,[],[f1571,f5671,f2912,f2920,f5521]) ).

fof(f1571,plain,
    ( e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,e0) ),
    inference(cnf_transformation,[],[f1336]) ).

fof(f1336,plain,
    ( e5 != op(e2,e0)
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f388]) ).

fof(f388,axiom,
    ~ ( e1 = op(op(e2,e0),op(e2,e0))
      & e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e5 = op(e2,e0)
      & e4 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax388) ).

fof(f6695,plain,
    ~ spl0_829,
    inference(avatar_split_clause,[],[f1922,f6692]) ).

fof(f6692,plain,
    ( spl0_829
  <=> op(e2,e5) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).

fof(f1922,plain,
    op(e2,e5) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6690,plain,
    ( ~ spl0_401
    | ~ spl0_396
    | ~ spl0_308
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f2594,f4064,f4068,f4479,f4501]) ).

fof(f2594,plain,
    ( e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(e2,e3)
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f1214]) ).

fof(f1214,plain,
    ( e1 != op(e2,e3)
    | e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f73]) ).

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

fof(f6689,plain,
    ( ~ spl0_827
    | spl0_828 ),
    inference(avatar_split_clause,[],[f1681,f6686,f6682]) ).

fof(f1681,plain,
    ( e1 = inv(e2)
    | e2 != inv(e1) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6680,plain,
    ( ~ spl0_552
    | ~ spl0_517
    | ~ spl0_87
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f1469,f3975,f3082,f5047,f5214]) ).

fof(f1469,plain,
    ( e4 != op(e1,e2)
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f964]) ).

fof(f964,plain,
    ( e4 != op(e1,e2)
    | e5 != op(op(e1,e2),op(e1,e2))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ~ ( e3 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(op(e1,e2),op(e1,e2))
      & e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f6679,plain,
    ( ~ spl0_288
    | ~ spl0_550
    | ~ spl0_679
    | ~ spl0_722 ),
    inference(avatar_split_clause,[],[f1826,f6095,f5857,f5206,f3979]) ).

fof(f5206,plain,
    ( spl0_550
  <=> e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).

fof(f1826,plain,
    ( e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,e2),op(e1,e2))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e3 != op(e1,e2) ),
    inference(cnf_transformation,[],[f791]) ).

fof(f791,plain,
    ( e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,e2)
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f663]) ).

fof(f663,axiom,
    ~ ( e4 = op(op(e1,e2),op(e1,e2))
      & e0 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e3 = op(e1,e2)
      & e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax663) ).

fof(f6678,plain,
    ( ~ spl0_439
    | ~ spl0_440
    | ~ spl0_73
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2485,f3250,f3022,f4685,f4681]) ).

fof(f4681,plain,
    ( spl0_439
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).

fof(f2485,plain,
    ( e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,e4) ),
    inference(cnf_transformation,[],[f1387]) ).

fof(f1387,plain,
    ( e3 != op(e1,e4)
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,e4),op(e1,e4)) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ~ ( e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e3 = op(e1,e4)
      & e5 = op(op(e1,e4),op(e1,e4))
      & e2 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f6677,plain,
    ( ~ spl0_341
    | ~ spl0_431
    | ~ spl0_309
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f1592,f4082,f4074,f4643,f4223]) ).

fof(f1592,plain,
    ( e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,e3)
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(cnf_transformation,[],[f832]) ).

fof(f832,plain,
    ( e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e1 != op(e5,e3) ),
    inference(ennf_transformation,[],[f300]) ).

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

fof(f6676,plain,
    ~ spl0_826,
    inference(avatar_split_clause,[],[f1938,f6673]) ).

fof(f6673,plain,
    ( spl0_826
  <=> op(e2,e2) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).

fof(f1938,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6671,plain,
    spl0_825,
    inference(avatar_split_clause,[],[f2291,f6668]) ).

fof(f6668,plain,
    ( spl0_825
  <=> op(op(e3,e3),e5) = op(e3,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).

fof(f2291,plain,
    op(op(e3,e3),e5) = op(e3,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6666,plain,
    ( ~ spl0_366
    | ~ spl0_824
    | ~ spl0_306
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f1704,f4064,f4060,f6663,f4338]) ).

fof(f1704,plain,
    ( e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,e3),op(e2,e3))
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,e3) ),
    inference(cnf_transformation,[],[f1135]) ).

fof(f1135,plain,
    ( e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,e3),op(e2,e3))
    | e1 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,e3) ),
    inference(ennf_transformation,[],[f196]) ).

fof(f196,axiom,
    ~ ( e5 = op(e2,e3)
      & e1 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e4 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e0 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax196) ).

fof(f6661,plain,
    spl0_823,
    inference(avatar_split_clause,[],[f2241,f6658]) ).

fof(f6658,plain,
    ( spl0_823
  <=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).

fof(f2241,plain,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6656,plain,
    ~ spl0_822,
    inference(avatar_split_clause,[],[f2444,f6653]) ).

fof(f6653,plain,
    ( spl0_822
  <=> e1 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).

fof(f2444,plain,
    e1 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f6651,plain,
    ( ~ spl0_548
    | ~ spl0_547
    | ~ spl0_57
    | ~ spl0_821 ),
    inference(avatar_split_clause,[],[f2088,f6648,f2951,f5193,f5197]) ).

fof(f2088,plain,
    ( e5 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,e3)
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f1148]) ).

fof(f1148,plain,
    ( e5 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,e3)
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f187]) ).

fof(f187,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e2 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e0 = op(e4,e3)
      & e5 = op(op(e4,e3),op(e4,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax187) ).

fof(f6646,plain,
    spl0_820,
    inference(avatar_split_clause,[],[f2171,f6643]) ).

fof(f6643,plain,
    ( spl0_820
  <=> op(op(e1,e1),e0) = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).

fof(f2171,plain,
    op(op(e1,e1),e0) = op(e1,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6641,plain,
    ( ~ spl0_15
    | ~ spl0_360
    | ~ spl0_211
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1640,f3619,f3627,f4310,f2768]) ).

fof(f1640,plain,
    ( e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0) ),
    inference(cnf_transformation,[],[f1219]) ).

fof(f1219,plain,
    ( e1 != op(e3,e0)
    | e4 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(ennf_transformation,[],[f619]) ).

fof(f619,axiom,
    ~ ( e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e4 = op(op(e3,e0),op(e3,e0))
      & e1 = op(e3,e0)
      & e2 = op(e3,op(op(e3,e0),op(e3,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax619) ).

fof(f6640,plain,
    ~ spl0_819,
    inference(avatar_split_clause,[],[f1960,f6637]) ).

fof(f6637,plain,
    ( spl0_819
  <=> op(e0,e1) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).

fof(f1960,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6635,plain,
    ( ~ spl0_638
    | ~ spl0_818
    | ~ spl0_257
    | ~ spl0_704 ),
    inference(avatar_split_clause,[],[f1590,f5994,f3838,f6632,f5641]) ).

fof(f1590,plain,
    ( e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(e4,e2)
    | e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,e2),op(e4,e2)) ),
    inference(cnf_transformation,[],[f795]) ).

fof(f795,plain,
    ( e5 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,e2),op(e4,e2))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(e4,e2) ),
    inference(ennf_transformation,[],[f440]) ).

fof(f440,axiom,
    ~ ( e5 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e1 = op(e4,e2)
      & e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e0 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax440) ).

fof(f6630,plain,
    ~ spl0_817,
    inference(avatar_split_clause,[],[f2002,f6627]) ).

fof(f6627,plain,
    ( spl0_817
  <=> op(e0,e5) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).

fof(f2002,plain,
    op(e0,e5) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6625,plain,
    spl0_816,
    inference(avatar_split_clause,[],[f2326,f6622]) ).

fof(f6622,plain,
    ( spl0_816
  <=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).

fof(f2326,plain,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6620,plain,
    ( ~ spl0_331
    | ~ spl0_542
    | ~ spl0_714
    | ~ spl0_330 ),
    inference(avatar_split_clause,[],[f2600,f4172,f6049,f5168,f4176]) ).

fof(f2600,plain,
    ( e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,e2)
    | e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,e2),op(e3,e2)) ),
    inference(cnf_transformation,[],[f848]) ).

fof(f848,plain,
    ( e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,e2)
    | e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,e2),op(e3,e2)) ),
    inference(ennf_transformation,[],[f661]) ).

fof(f661,axiom,
    ~ ( e5 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e4 = op(op(e3,e2),op(e3,e2))
      & e1 = op(e3,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax661) ).

fof(f6619,plain,
    ( ~ spl0_314
    | ~ spl0_263
    | ~ spl0_104
    | ~ spl0_523 ),
    inference(avatar_split_clause,[],[f2631,f5078,f3157,f3864,f4097]) ).

fof(f2631,plain,
    ( e1 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,e4)
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(cnf_transformation,[],[f881]) ).

fof(f881,plain,
    ( e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,e4),op(e5,e4))
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(e5,e4) ),
    inference(ennf_transformation,[],[f456]) ).

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

fof(f6618,plain,
    ( ~ spl0_399
    | ~ spl0_400
    | ~ spl0_351
    | ~ spl0_767 ),
    inference(avatar_split_clause,[],[f2099,f6357,f4269,f4496,f4492]) ).

fof(f2099,plain,
    ( e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f1008]) ).

fof(f1008,plain,
    ( e3 != op(e4,e1)
    | e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,e1),op(e4,e1))
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(ennf_transformation,[],[f296]) ).

fof(f296,axiom,
    ~ ( e5 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e3 = op(e4,e1)
      & e0 = op(op(e4,e1),op(e4,e1))
      & e2 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax296) ).

fof(f6617,plain,
    ( ~ spl0_253
    | ~ spl0_590
    | ~ spl0_61
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f2351,f5294,f2968,f5405,f3820]) ).

fof(f2351,plain,
    ( e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(e1,e0) ),
    inference(cnf_transformation,[],[f1017]) ).

fof(f1017,plain,
    ( e5 != op(e1,e0)
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f269]) ).

fof(f269,axiom,
    ~ ( e3 = op(op(e1,e0),op(e1,e0))
      & e5 = op(e1,e0)
      & e2 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e4 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax269) ).

fof(f6616,plain,
    ~ spl0_815,
    inference(avatar_split_clause,[],[f1899,f6613]) ).

fof(f6613,plain,
    ( spl0_815
  <=> op(e3,e0) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).

fof(f1899,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6611,plain,
    ( ~ spl0_207
    | ~ spl0_478
    | ~ spl0_338
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f2678,f3606,f4210,f4866,f3610]) ).

fof(f2678,plain,
    ( e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(e5,e1)
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(op(e5,e1),op(e5,e1)) ),
    inference(cnf_transformation,[],[f992]) ).

fof(f992,plain,
    ( e3 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1)
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(ennf_transformation,[],[f288]) ).

fof(f288,axiom,
    ~ ( e3 = op(op(e5,e1),op(e5,e1))
      & e2 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e4 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e0 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax288) ).

fof(f6610,plain,
    spl0_814,
    inference(avatar_split_clause,[],[f2150,f6607]) ).

fof(f6607,plain,
    ( spl0_814
  <=> op(op(e0,e2),e1) = op(e0,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).

fof(f2150,plain,
    op(op(e0,e2),e1) = op(e0,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6605,plain,
    ( spl0_439
    | spl0_812
    | spl0_463
    | spl0_75
    | spl0_813
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1741,f3246,f6602,f3030,f4797,f6598,f4681]) ).

fof(f6598,plain,
    ( spl0_812
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).

fof(f6602,plain,
    ( spl0_813
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).

fof(f1741,plain,
    ( e5 = op(e1,e4)
    | e4 = op(e1,e4)
    | e0 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e3 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6596,plain,
    ( ~ spl0_327
    | ~ spl0_257
    | ~ spl0_680
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f1475,f4154,f5862,f3838,f4158]) ).

fof(f1475,plain,
    ( e3 != op(op(e4,e2),op(e4,e2))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(e4,e2)
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f1076]) ).

fof(f1076,plain,
    ( e1 != op(e4,e2)
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f660]) ).

fof(f660,axiom,
    ~ ( e0 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e1 = op(e4,e2)
      & e3 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax660) ).

fof(f6595,plain,
    ( ~ spl0_73
    | ~ spl0_440
    | ~ spl0_75
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f1801,f3900,f3030,f4685,f3022]) ).

fof(f1801,plain,
    ( e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(e1,e4)
    | e5 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f925]) ).

fof(f925,plain,
    ( e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,e4),op(e1,e4))
    | e0 != op(e1,e4) ),
    inference(ennf_transformation,[],[f457]) ).

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

fof(f6594,plain,
    spl0_811,
    inference(avatar_split_clause,[],[f2274,f6591]) ).

fof(f6591,plain,
    ( spl0_811
  <=> op(op(e1,e4),e3) = op(e1,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).

fof(f2274,plain,
    op(op(e1,e4),e3) = op(e1,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6589,plain,
    spl0_810,
    inference(avatar_split_clause,[],[f2256,f6586]) ).

fof(f6586,plain,
    ( spl0_810
  <=> op(op(e3,e2),e0) = op(e3,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).

fof(f2256,plain,
    op(op(e3,e2),e0) = op(e3,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6584,plain,
    ( ~ spl0_782
    | ~ spl0_158
    | ~ spl0_626
    | ~ spl0_627 ),
    inference(avatar_split_clause,[],[f1542,f5591,f5587,f3397,f6438]) ).

fof(f1542,plain,
    ( e2 != op(e0,e1)
    | e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e3 != op(op(e0,e1),op(e0,e1))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f1053]) ).

fof(f1053,plain,
    ( e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,e1)
    | e3 != op(op(e0,e1),op(e0,e1)) ),
    inference(ennf_transformation,[],[f537]) ).

fof(f537,axiom,
    ~ ( e3 = op(op(e0,e1),op(e0,e1))
      & e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e2 = op(e0,e1)
      & e5 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax537) ).

fof(f6583,plain,
    ( ~ spl0_729
    | ~ spl0_621
    | ~ spl0_147
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2508,f3519,f3346,f5560,f6133]) ).

fof(f2508,plain,
    ( e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(e4,e0)
    | e5 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f783]) ).

fof(f783,plain,
    ( e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(op(e4,e0),op(e4,e0))
    | e3 != op(e4,e0) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f133,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e2 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(e4,e0)
      & e5 = op(op(e4,e0),op(e4,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).

fof(f6582,plain,
    ( ~ spl0_443
    | ~ spl0_666
    | ~ spl0_539
    | ~ spl0_745 ),
    inference(avatar_split_clause,[],[f1798,f6227,f5154,f5787,f4700]) ).

fof(f1798,plain,
    ( e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,e5) ),
    inference(cnf_transformation,[],[f938]) ).

fof(f938,plain,
    ( e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,e5)
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(ennf_transformation,[],[f250]) ).

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

fof(f6581,plain,
    ( ~ spl0_767
    | ~ spl0_300
    | ~ spl0_299
    | ~ spl0_585 ),
    inference(avatar_split_clause,[],[f2692,f5381,f4029,f4033,f6357]) ).

fof(f2692,plain,
    ( e5 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(e4,e1)
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(cnf_transformation,[],[f811]) ).

fof(f811,plain,
    ( e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(e4,e1) ),
    inference(ennf_transformation,[],[f283]) ).

fof(f283,axiom,
    ~ ( e5 = op(op(e4,e1),op(e4,e1))
      & e2 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e0 = op(e4,e1)
      & e3 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax283) ).

fof(f6580,plain,
    ( ~ spl0_100
    | ~ spl0_486
    | ~ spl0_481
    | ~ spl0_528 ),
    inference(avatar_split_clause,[],[f2545,f5101,f4880,f4905,f3140]) ).

fof(f2545,plain,
    ( e4 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3) ),
    inference(cnf_transformation,[],[f912]) ).

fof(f912,plain,
    ( e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3)
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f305]) ).

fof(f305,axiom,
    ~ ( e2 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e0 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e4 = op(op(e1,e3),op(e1,e3))
      & e5 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax305) ).

fof(f6579,plain,
    ( ~ spl0_523
    | ~ spl0_670
    | ~ spl0_365
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1867,f3157,f4333,f5807,f5078]) ).

fof(f1867,plain,
    ( e0 != op(e5,e4)
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,e4),op(e5,e4)) ),
    inference(cnf_transformation,[],[f875]) ).

fof(f875,plain,
    ( e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(e5,e4)
    | e1 != op(op(e5,e4),op(e5,e4))
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(ennf_transformation,[],[f336]) ).

fof(f336,axiom,
    ~ ( e3 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(op(e5,e4),op(e5,e4))
      & e2 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e0 = op(e5,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax336) ).

fof(f6578,plain,
    ( ~ spl0_203
    | ~ spl0_185
    | ~ spl0_149
    | ~ spl0_592 ),
    inference(avatar_split_clause,[],[f2637,f5415,f3354,f3515,f3592]) ).

fof(f2637,plain,
    ( e2 != op(e4,e0)
    | e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,e0),op(e4,e0))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(cnf_transformation,[],[f1022]) ).

fof(f1022,plain,
    ( e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(e4,e0)
    | e1 != op(op(e4,e0),op(e4,e0)) ),
    inference(ennf_transformation,[],[f626]) ).

fof(f626,axiom,
    ~ ( e1 = op(op(e4,e0),op(e4,e0))
      & e2 = op(e4,e0)
      & e3 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e5 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax626) ).

fof(f6577,plain,
    ~ spl0_809,
    inference(avatar_split_clause,[],[f1905,f6574]) ).

fof(f6574,plain,
    ( spl0_809
  <=> op(e4,e0) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).

fof(f1905,plain,
    op(e4,e0) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6572,plain,
    spl0_808,
    inference(avatar_split_clause,[],[f2238,f6569]) ).

fof(f6569,plain,
    ( spl0_808
  <=> op(op(e4,e2),e4) = op(e4,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).

fof(f2238,plain,
    op(op(e4,e2),e4) = op(e4,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6567,plain,
    ( ~ spl0_237
    | ~ spl0_686
    | ~ spl0_240
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f2065,f4589,f3761,f5897,f3749]) ).

fof(f2065,plain,
    ( e3 != op(e0,e2)
    | e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1401]) ).

fof(f1401,plain,
    ( e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,e2),op(e0,e2))
    | e3 != op(e0,e2)
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(ennf_transformation,[],[f683]) ).

fof(f683,axiom,
    ~ ( e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e1 = op(op(e0,e2),op(e0,e2))
      & e3 = op(e0,e2)
      & e4 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax683) ).

fof(f6566,plain,
    ( ~ spl0_719
    | ~ spl0_380
    | ~ spl0_378
    | ~ spl0_807 ),
    inference(avatar_split_clause,[],[f1536,f6563,f4390,f4403,f6074]) ).

fof(f1536,plain,
    ( e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4)
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(op(e3,e4),op(e3,e4)) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f1409,plain,
    ( e1 != op(op(e3,e4),op(e3,e4))
    | e2 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4)
    | e5 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(ennf_transformation,[],[f342]) ).

fof(f342,axiom,
    ~ ( e0 = op(e3,e4)
      & e1 = op(op(e3,e4),op(e3,e4))
      & e5 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e2 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax342) ).

fof(f6561,plain,
    spl0_806,
    inference(avatar_split_clause,[],[f2254,f6558]) ).

fof(f6558,plain,
    ( spl0_806
  <=> op(op(e1,e5),e2) = op(e1,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).

fof(f2254,plain,
    op(op(e1,e5),e2) = op(e1,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6556,plain,
    ~ spl0_805,
    inference(avatar_split_clause,[],[f2029,f6553]) ).

fof(f6553,plain,
    ( spl0_805
  <=> op(e1,e0) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).

fof(f2029,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6551,plain,
    ( ~ spl0_406
    | ~ spl0_722
    | ~ spl0_288
    | ~ spl0_517 ),
    inference(avatar_split_clause,[],[f2674,f5047,f3979,f6095,f4524]) ).

fof(f2674,plain,
    ( e5 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,e2)
    | e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(cnf_transformation,[],[f1025]) ).

fof(f1025,plain,
    ( e3 != op(e1,e2)
    | e5 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f543]) ).

fof(f543,axiom,
    ~ ( e3 = op(e1,e2)
      & e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e0 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax543) ).

fof(f6550,plain,
    ~ spl0_804,
    inference(avatar_split_clause,[],[f2450,f6547]) ).

fof(f6547,plain,
    ( spl0_804
  <=> e0 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).

fof(f2450,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f6545,plain,
    ( ~ spl0_611
    | ~ spl0_520
    | ~ spl0_479
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f1838,f3693,f4871,f5062,f5509]) ).

fof(f3693,plain,
    ( spl0_225
  <=> e4 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f1838,plain,
    ( e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e1 != op(e0,e5) ),
    inference(cnf_transformation,[],[f1325]) ).

fof(f1325,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(e0,e5) ),
    inference(ennf_transformation,[],[f369]) ).

fof(f369,axiom,
    ~ ( e1 = op(e0,e5)
      & e4 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e3 = op(op(e0,e5),op(e0,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax369) ).

fof(f6544,plain,
    ( ~ spl0_418
    | ~ spl0_143
    | ~ spl0_484
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2476,f3325,f4896,f3329,f4580]) ).

fof(f3325,plain,
    ( spl0_142
  <=> e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2476,plain,
    ( e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e4 != op(op(e3,e5),op(e3,e5))
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(e3,e5) ),
    inference(cnf_transformation,[],[f1050]) ).

fof(f1050,plain,
    ( e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(e3,e5)
    | e4 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f229]) ).

fof(f229,axiom,
    ~ ( e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(e3,e5)
      & e4 = op(op(e3,e5),op(e3,e5))
      & e0 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax229) ).

fof(f6543,plain,
    spl0_803,
    inference(avatar_split_clause,[],[f1512,f6540]) ).

fof(f6540,plain,
    ( spl0_803
  <=> unit = op(e5,inv(e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).

fof(f1512,plain,
    unit = op(e5,inv(e5)),
    inference(cnf_transformation,[],[f4]) ).

fof(f6538,plain,
    ( ~ spl0_628
    | ~ spl0_802
    | ~ spl0_159
    | ~ spl0_626 ),
    inference(avatar_split_clause,[],[f1616,f5587,f3401,f6535,f5595]) ).

fof(f1616,plain,
    ( e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(e0,e1)
    | e2 != op(op(e0,e1),op(e0,e1))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f1092,plain,
    ( e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,e1) ),
    inference(ennf_transformation,[],[f419]) ).

fof(f419,axiom,
    ~ ( e2 = op(op(e0,e1),op(e0,e1))
      & e4 = op(e0,e1)
      & e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e5 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax419) ).

fof(f6533,plain,
    ( ~ spl0_515
    | ~ spl0_170
    | ~ spl0_171
    | ~ spl0_431 ),
    inference(avatar_split_clause,[],[f1582,f4643,f3454,f3450,f5036]) ).

fof(f1582,plain,
    ( e1 != op(e5,e3)
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(op(e5,e3),op(e5,e3))
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f908,plain,
    ( e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,e3)
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,axiom,
    ~ ( e1 = op(e5,e3)
      & e4 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e2 = op(op(e5,e3),op(e5,e3))
      & e0 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f6532,plain,
    ( ~ spl0_689
    | ~ spl0_411
    | ~ spl0_515
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f1618,f4227,f5036,f4546,f5913]) ).

fof(f1618,plain,
    ( e4 != op(e5,e3)
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(cnf_transformation,[],[f1121]) ).

fof(f1121,plain,
    ( e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(e5,e3)
    | e1 != op(op(e5,e3),op(e5,e3)) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ~ ( e0 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e1 = op(op(e5,e3),op(e5,e3))
      & e2 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e4 = op(e5,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

fof(f6531,plain,
    ~ spl0_801,
    inference(avatar_split_clause,[],[f1965,f6528]) ).

fof(f6528,plain,
    ( spl0_801
  <=> op(e3,e0) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).

fof(f1965,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6526,plain,
    spl0_800,
    inference(avatar_split_clause,[],[f2164,f6523]) ).

fof(f6523,plain,
    ( spl0_800
  <=> op(op(e1,e2),e5) = op(e1,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).

fof(f2164,plain,
    op(op(e1,e2),e5) = op(e1,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6521,plain,
    ( ~ spl0_279
    | ~ spl0_275
    | ~ spl0_211
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1792,f2760,f3627,f3918,f3937]) ).

fof(f1792,plain,
    ( e4 != op(e3,e0)
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1074]) ).

fof(f1074,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e4 != op(e3,e0)
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f616]) ).

fof(f616,axiom,
    ~ ( e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e2 = op(op(e3,e0),op(e3,e0))
      & e1 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e4 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax616) ).

fof(f6520,plain,
    ~ spl0_799,
    inference(avatar_split_clause,[],[f1608,f6517]) ).

fof(f6517,plain,
    ( spl0_799
  <=> inv(e3) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).

fof(f1608,plain,
    inv(e3) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f6515,plain,
    ( ~ spl0_674
    | ~ spl0_413
    | ~ spl0_529
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f2394,f4255,f5106,f4556,f5828]) ).

fof(f2394,plain,
    ( e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,e5)
    | e3 != op(op(e4,e5),op(e4,e5))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1176]) ).

fof(f1176,plain,
    ( e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e2 != op(e4,e5)
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(op(e4,e5),op(e4,e5)) ),
    inference(ennf_transformation,[],[f228]) ).

fof(f228,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e3 = op(op(e4,e5),op(e4,e5))
      & e0 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e2 = op(e4,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax228) ).

fof(f6514,plain,
    ( ~ spl0_56
    | ~ spl0_664
    | ~ spl0_549
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1530,f2939,f5201,f5777,f2947]) ).

fof(f1530,plain,
    ( e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e0 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,e3)
    | e1 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f880]) ).

fof(f880,plain,
    ( e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,e3),op(e4,e3))
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,e3) ),
    inference(ennf_transformation,[],[f692]) ).

fof(f692,axiom,
    ~ ( e1 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e0 = op(op(e4,e3),op(e4,e3))
      & e2 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax692) ).

fof(f6513,plain,
    ( ~ spl0_406
    | ~ spl0_551
    | ~ spl0_407
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f2500,f3979,f4528,f5210,f4524]) ).

fof(f2500,plain,
    ( e3 != op(e1,e2)
    | e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(op(e1,e2),op(e1,e2))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(cnf_transformation,[],[f904]) ).

fof(f904,plain,
    ( e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,e2)
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f562]) ).

fof(f562,axiom,
    ~ ( e3 = op(e1,e2)
      & e5 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e0 = op(op(e1,e2),op(e1,e2))
      & e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax562) ).

fof(f6512,plain,
    ( ~ spl0_575
    | ~ spl0_478
    | ~ spl0_206
    | ~ spl0_477 ),
    inference(avatar_split_clause,[],[f2089,f4862,f3606,f4866,f5329]) ).

fof(f2089,plain,
    ( e0 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1107]) ).

fof(f1107,plain,
    ( e3 != op(e5,e1)
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(op(e5,e1),op(e5,e1))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(ennf_transformation,[],[f290]) ).

fof(f290,axiom,
    ~ ( e3 = op(e5,e1)
      & e0 = op(op(e5,e1),op(e5,e1))
      & e2 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e4 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax290) ).

fof(f6511,plain,
    ( ~ spl0_359
    | ~ spl0_68
    | ~ spl0_136
    | ~ spl0_644 ),
    inference(avatar_split_clause,[],[f2574,f5671,f3295,f3001,f4305]) ).

fof(f2574,plain,
    ( e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,e0)
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f1432]) ).

fof(f1432,plain,
    ( e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,e0)
    | e3 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(ennf_transformation,[],[f628]) ).

fof(f628,axiom,
    ~ ( e3 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e1 = op(op(e2,e0),op(e2,e0))
      & e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e4 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax628) ).

fof(f6510,plain,
    ( ~ spl0_784
    | ~ spl0_785
    | ~ spl0_786
    | ~ spl0_787
    | ~ spl0_788
    | ~ spl0_789
    | ~ spl0_790
    | ~ spl0_791
    | ~ spl0_792
    | ~ spl0_793
    | ~ spl0_794
    | ~ spl0_795
    | ~ spl0_796
    | ~ spl0_797
    | ~ spl0_798 ),
    inference(avatar_split_clause,[],[f2705,f6507,f6503,f6499,f6495,f6491,f6487,f6483,f6479,f6475,f6471,f6467,f6463,f6459,f6455,f6451]) ).

fof(f6451,plain,
    ( spl0_784
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).

fof(f6455,plain,
    ( spl0_785
  <=> op(e0,e5) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).

fof(f6459,plain,
    ( spl0_786
  <=> op(e2,e3) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).

fof(f6463,plain,
    ( spl0_787
  <=> op(e0,e4) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).

fof(f6467,plain,
    ( spl0_788
  <=> op(e1,e3) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).

fof(f6471,plain,
    ( spl0_789
  <=> op(e3,e4) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).

fof(f6475,plain,
    ( spl0_790
  <=> op(e2,e4) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).

fof(f6479,plain,
    ( spl0_791
  <=> op(e0,e3) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).

fof(f6483,plain,
    ( spl0_792
  <=> op(e2,e5) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).

fof(f6487,plain,
    ( spl0_793
  <=> op(e0,e1) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).

fof(f6491,plain,
    ( spl0_794
  <=> op(e4,e5) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).

fof(f6495,plain,
    ( spl0_795
  <=> op(e0,e2) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).

fof(f6499,plain,
    ( spl0_796
  <=> op(e1,e5) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).

fof(f6503,plain,
    ( spl0_797
  <=> op(e3,e5) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).

fof(f6507,plain,
    ( spl0_798
  <=> op(e1,e4) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).

fof(f2705,plain,
    ( op(e1,e4) != op(e4,e1)
    | op(e3,e5) != op(e5,e3)
    | op(e1,e5) != op(e5,e1)
    | op(e0,e2) != op(e2,e0)
    | op(e4,e5) != op(e5,e4)
    | op(e0,e1) != op(e1,e0)
    | op(e2,e5) != op(e5,e2)
    | op(e0,e3) != op(e3,e0)
    | op(e2,e4) != op(e4,e2)
    | op(e3,e4) != op(e4,e3)
    | op(e1,e3) != op(e3,e1)
    | op(e0,e4) != op(e4,e0)
    | op(e2,e3) != op(e3,e2)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e2) != op(e2,e1) ),
    inference(trivial_inequality_removal,[],[f1557]) ).

fof(f1557,plain,
    ( op(e2,e5) != op(e5,e2)
    | op(e5,e5) != op(e5,e5)
    | op(e3,e5) != op(e5,e3)
    | op(e1,e3) != op(e3,e1)
    | op(e0,e0) != op(e0,e0)
    | op(e2,e2) != op(e2,e2)
    | op(e3,e4) != op(e4,e3)
    | op(e2,e3) != op(e3,e2)
    | op(e1,e2) != op(e2,e1)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e1) != op(e1,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e4) != op(e4,e2)
    | op(e3,e3) != op(e3,e3)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e4,e4) != op(e4,e4)
    | op(e4,e5) != op(e5,e4)
    | op(e0,e1) != op(e1,e0)
    | op(e1,e4) != op(e4,e1)
    | op(e0,e3) != op(e3,e0) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f1315,plain,
    ( op(e2,e4) != op(e4,e2)
    | op(e4,e4) != op(e4,e4)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e3) != op(e3,e2)
    | op(e0,e1) != op(e1,e0)
    | op(e2,e3) != op(e3,e2)
    | op(e2,e5) != op(e5,e2)
    | op(e3,e5) != op(e5,e3)
    | op(e3,e3) != op(e3,e3)
    | op(e2,e4) != op(e4,e2)
    | op(e5,e5) != op(e5,e5)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e1) != op(e1,e1)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e4,e5) != op(e5,e4)
    | op(e0,e3) != op(e3,e0)
    | op(e1,e2) != op(e2,e1)
    | op(e0,e1) != op(e1,e0)
    | op(e4,e5) != op(e5,e4)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e5) != op(e5,e2)
    | op(e2,e2) != op(e2,e2)
    | op(e1,e3) != op(e3,e1)
    | op(e3,e5) != op(e5,e3)
    | op(e0,e0) != op(e0,e0)
    | op(e1,e3) != op(e3,e1)
    | op(e3,e4) != op(e4,e3)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e3,e4) != op(e4,e3)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e0,e4) != op(e4,e0) ),
    inference(ennf_transformation,[],[f11]) ).

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

fof(f6449,plain,
    ( ~ spl0_272
    | ~ spl0_441
    | ~ spl0_544
    | ~ spl0_439 ),
    inference(avatar_split_clause,[],[f1543,f4681,f5178,f4689,f3904]) ).

fof(f1543,plain,
    ( e3 != op(e1,e4)
    | e0 != op(op(e1,e4),op(e1,e4))
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f1307]) ).

fof(f1307,plain,
    ( e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(op(e1,e4),op(e1,e4))
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(e1,e4) ),
    inference(ennf_transformation,[],[f346]) ).

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

fof(f6448,plain,
    ( ~ spl0_42
    | ~ spl0_408
    | ~ spl0_565
    | ~ spl0_356 ),
    inference(avatar_split_clause,[],[f1822,f4292,f5279,f4533,f2885]) ).

fof(f4533,plain,
    ( spl0_408
  <=> e3 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f1822,plain,
    ( e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(op(e5,e2),op(e5,e2))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e1 != op(e5,e2) ),
    inference(cnf_transformation,[],[f1402]) ).

fof(f1402,plain,
    ( e1 != op(e5,e2)
    | e3 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,e2),op(e5,e2))
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(ennf_transformation,[],[f554]) ).

fof(f554,axiom,
    ~ ( e4 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e0 = op(op(e5,e2),op(e5,e2))
      & e3 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(e5,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax554) ).

fof(f6447,plain,
    ( ~ spl0_245
    | ~ spl0_494
    | ~ spl0_690
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1660,f2794,f5919,f4939,f3785]) ).

fof(f1660,plain,
    ( e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(e0,e3) ),
    inference(cnf_transformation,[],[f895]) ).

fof(f895,plain,
    ( e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(op(e0,e3),op(e0,e3))
    | e4 != op(e0,e3)
    | e5 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f203]) ).

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

fof(f6446,plain,
    ( ~ spl0_783
    | ~ spl0_767
    | ~ spl0_300
    | ~ spl0_351 ),
    inference(avatar_split_clause,[],[f2457,f4269,f4033,f6357,f6443]) ).

fof(f2457,plain,
    ( e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(e4,e1)
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f1329]) ).

fof(f1329,plain,
    ( e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,e1)
    | e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(op(e4,e1),op(e4,e1)) ),
    inference(ennf_transformation,[],[f294]) ).

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

fof(f6441,plain,
    ( ~ spl0_782
    | ~ spl0_627
    | ~ spl0_608
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f2552,f5136,f5495,f5591,f6438]) ).

fof(f2552,plain,
    ( e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1)
    | e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f805]) ).

fof(f805,plain,
    ( e4 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e2 != op(e0,e1)
    | e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,e1),op(e0,e1)) ),
    inference(ennf_transformation,[],[f531]) ).

fof(f531,axiom,
    ~ ( e3 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e4 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e2 = op(e0,e1)
      & e5 = op(op(e0,e1),op(e0,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax531) ).

fof(f6436,plain,
    ~ spl0_781,
    inference(avatar_split_clause,[],[f1953,f6433]) ).

fof(f6433,plain,
    ( spl0_781
  <=> op(e2,e0) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).

fof(f1953,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6431,plain,
    spl0_780,
    inference(avatar_split_clause,[],[f2161,f6428]) ).

fof(f6428,plain,
    ( spl0_780
  <=> op(op(e5,e5),e0) = op(e5,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).

fof(f2161,plain,
    op(op(e5,e5),e0) = op(e5,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6426,plain,
    spl0_779,
    inference(avatar_split_clause,[],[f2286,f6423]) ).

fof(f6423,plain,
    ( spl0_779
  <=> op(op(e5,e2),e3) = op(e5,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).

fof(f2286,plain,
    op(op(e5,e2),e3) = op(e5,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6421,plain,
    ( ~ spl0_215
    | ~ spl0_79
    | ~ spl0_728
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f1719,f5424,f6128,f3048,f3645]) ).

fof(f1719,plain,
    ( e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(e0,e4) ),
    inference(cnf_transformation,[],[f1368]) ).

fof(f1368,plain,
    ( e5 != op(e0,e4)
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(ennf_transformation,[],[f335]) ).

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

fof(f6420,plain,
    ( spl0_773
    | spl0_774
    | spl0_775
    | spl0_776
    | spl0_777
    | spl0_778 ),
    inference(avatar_split_clause,[],[f1743,f6417,f6413,f6409,f6405,f6401,f6397]) ).

fof(f6397,plain,
    ( spl0_773
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).

fof(f6401,plain,
    ( spl0_774
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).

fof(f6405,plain,
    ( spl0_775
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).

fof(f6409,plain,
    ( spl0_776
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).

fof(f6413,plain,
    ( spl0_777
  <=> e5 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).

fof(f6417,plain,
    ( spl0_778
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).

fof(f1743,plain,
    ( e0 = op(e1,e1)
    | e5 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1)
    | e4 = op(e1,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6395,plain,
    ( ~ spl0_633
    | ~ spl0_700
    | ~ spl0_595
    | ~ spl0_752 ),
    inference(avatar_split_clause,[],[f2052,f6268,f5430,f5974,f5619]) ).

fof(f2052,plain,
    ( e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,e0) ),
    inference(cnf_transformation,[],[f986]) ).

fof(f986,plain,
    ( e1 != op(op(e5,e0),op(e5,e0))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(e5,e0)
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(ennf_transformation,[],[f506]) ).

fof(f506,axiom,
    ~ ( e1 = op(op(e5,e0),op(e5,e0))
      & e3 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e2 = op(e5,e0)
      & e4 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax506) ).

fof(f6394,plain,
    ( ~ spl0_431
    | ~ spl0_309
    | ~ spl0_515
    | ~ spl0_689 ),
    inference(avatar_split_clause,[],[f1470,f5913,f5036,f4074,f4643]) ).

fof(f1470,plain,
    ( e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,e3) ),
    inference(cnf_transformation,[],[f1453]) ).

fof(f1453,plain,
    ( e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,e3)
    | e2 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,axiom,
    ~ ( e1 = op(e5,e3)
      & e0 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(op(e5,e3),op(e5,e3))
      & e2 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f6393,plain,
    ( ~ spl0_398
    | ~ spl0_300
    | ~ spl0_352
    | ~ spl0_585 ),
    inference(avatar_split_clause,[],[f2407,f5381,f4273,f4033,f4488]) ).

fof(f2407,plain,
    ( e5 != op(op(e4,e1),op(e4,e1))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(e4,e1)
    | e2 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1066]) ).

fof(f1066,plain,
    ( e5 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,axiom,
    ~ ( e0 = op(e4,e1)
      & e3 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e5 = op(op(e4,e1),op(e4,e1))
      & e2 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax403) ).

fof(f6392,plain,
    spl0_772,
    inference(avatar_split_clause,[],[f2270,f6389]) ).

fof(f6389,plain,
    ( spl0_772
  <=> op(op(e0,e0),e2) = op(e0,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).

fof(f2270,plain,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6387,plain,
    ( ~ spl0_529
    | ~ spl0_389
    | ~ spl0_674
    | ~ spl0_668 ),
    inference(avatar_split_clause,[],[f2411,f5797,f5828,f4445,f5106]) ).

fof(f2411,plain,
    ( e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,e5) ),
    inference(cnf_transformation,[],[f1206]) ).

fof(f1206,plain,
    ( e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e1 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,e5)
    | e0 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f470]) ).

fof(f470,axiom,
    ~ ( e2 = op(e4,e5)
      & e1 = op(op(e4,e5),op(e4,e5))
      & e3 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e0 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax470) ).

fof(f6386,plain,
    spl0_771,
    inference(avatar_split_clause,[],[f2230,f6383]) ).

fof(f6383,plain,
    ( spl0_771
  <=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).

fof(f2230,plain,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6381,plain,
    ~ spl0_770,
    inference(avatar_split_clause,[],[f1607,f6378]) ).

fof(f6378,plain,
    ( spl0_770
  <=> inv(e1) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).

fof(f1607,plain,
    inv(e1) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f6376,plain,
    ( ~ spl0_619
    | ~ spl0_678
    | ~ spl0_599
    | ~ spl0_598 ),
    inference(avatar_split_clause,[],[f1524,f5445,f5449,f5852,f5551]) ).

fof(f1524,plain,
    ( e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,e4),op(e2,e4))
    | e3 != op(e2,e4) ),
    inference(cnf_transformation,[],[f1385]) ).

fof(f1385,plain,
    ( e3 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,e4),op(e2,e4))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(ennf_transformation,[],[f718]) ).

fof(f718,axiom,
    ~ ( e1 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e3 = op(e2,e4)
      & e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(op(e2,e4),op(e2,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax718) ).

fof(f6375,plain,
    ( ~ spl0_418
    | ~ spl0_304
    | ~ spl0_305
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f2679,f5127,f4055,f4051,f4580]) ).

fof(f2679,plain,
    ( e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(op(e3,e5),op(e3,e5))
    | e2 != op(e3,e5) ),
    inference(cnf_transformation,[],[f1071]) ).

fof(f1071,plain,
    ( e2 != op(e3,e5)
    | e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f596]) ).

fof(f596,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e0 = op(op(e3,e5),op(e3,e5))
      & e2 = op(e3,e5)
      & e1 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax596) ).

fof(f6374,plain,
    ( ~ spl0_349
    | ~ spl0_389
    | ~ spl0_24
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f1595,f5344,f2808,f4445,f4259]) ).

fof(f1595,plain,
    ( e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,e5)
    | e1 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1127]) ).

fof(f1127,plain,
    ( e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(e4,e5)
    | e1 != op(op(e4,e5),op(e4,e5)) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,axiom,
    ~ ( e3 = op(e4,e5)
      & e1 = op(op(e4,e5),op(e4,e5))
      & e2 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e0 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).

fof(f6373,plain,
    spl0_769,
    inference(avatar_split_clause,[],[f2116,f6370]) ).

fof(f6370,plain,
    ( spl0_769
  <=> op(op(e4,e4),e0) = op(e4,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).

fof(f2116,plain,
    op(op(e4,e4),e0) = op(e4,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6368,plain,
    ( ~ spl0_365
    | ~ spl0_106
    | ~ spl0_416
    | ~ spl0_523 ),
    inference(avatar_split_clause,[],[f1860,f5078,f4571,f3165,f4333]) ).

fof(f1860,plain,
    ( e1 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e3 != op(e5,e4)
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f1433]) ).

fof(f1433,plain,
    ( e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(e5,e4)
    | e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,e4),op(e5,e4)) ),
    inference(ennf_transformation,[],[f326]) ).

fof(f326,axiom,
    ~ ( e1 = op(op(e5,e4),op(e5,e4))
      & e0 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e3 = op(e5,e4)
      & e2 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax326) ).

fof(f6367,plain,
    ( ~ spl0_353
    | ~ spl0_404
    | ~ spl0_495
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f2112,f3877,f4944,f4514,f4278]) ).

fof(f2112,plain,
    ( e4 != op(e0,e5)
    | e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(op(e0,e5),op(e0,e5)) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f913,plain,
    ( e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,e5),op(e0,e5))
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,e5) ),
    inference(ennf_transformation,[],[f245]) ).

fof(f245,axiom,
    ~ ( e2 = op(op(e0,e5),op(e0,e5))
      & e4 = op(e0,e5)
      & e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e3 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax245) ).

fof(f6366,plain,
    ~ spl0_768,
    inference(avatar_split_clause,[],[f1875,f6363]) ).

fof(f6363,plain,
    ( spl0_768
  <=> op(e0,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).

fof(f1875,plain,
    op(e0,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f6361,plain,
    ( ~ spl0_400
    | ~ spl0_352
    | ~ spl0_586
    | ~ spl0_351 ),
    inference(avatar_split_clause,[],[f1639,f4269,f5385,f4273,f4496]) ).

fof(f1639,plain,
    ( e5 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(e4,e1)
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f963]) ).

fof(f963,plain,
    ( e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(op(e4,e1),op(e4,e1))
    | e2 != op(e4,e1)
    | e5 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f416]) ).

fof(f416,axiom,
    ~ ( e2 = op(e4,e1)
      & e0 = op(op(e4,e1),op(e4,e1))
      & e3 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e5 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax416) ).

fof(f6360,plain,
    ( ~ spl0_299
    | ~ spl0_400
    | ~ spl0_767
    | ~ spl0_705 ),
    inference(avatar_split_clause,[],[f2357,f5999,f6357,f4496,f4029]) ).

fof(f2357,plain,
    ( e5 != op(e4,e1)
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e0 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f755]) ).

fof(f755,plain,
    ( e0 != op(op(e4,e1),op(e4,e1))
    | e2 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(e4,e1)
    | e3 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f286]) ).

fof(f286,axiom,
    ~ ( e2 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e5 = op(e4,e1)
      & e3 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e0 = op(op(e4,e1),op(e4,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax286) ).

fof(f6355,plain,
    ~ spl0_766,
    inference(avatar_split_clause,[],[f1997,f6352]) ).

fof(f6352,plain,
    ( spl0_766
  <=> op(e4,e2) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).

fof(f1997,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6350,plain,
    ( ~ spl0_542
    | ~ spl0_541
    | ~ spl0_174
    | ~ spl0_330 ),
    inference(avatar_split_clause,[],[f2644,f4172,f3467,f5164,f5168]) ).

fof(f2644,plain,
    ( e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(e3,e2)
    | e1 != op(op(e3,e2),op(e3,e2))
    | e0 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f873]) ).

fof(f873,plain,
    ( e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(op(e3,e2),op(e3,e2))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(e3,e2) ),
    inference(ennf_transformation,[],[f664]) ).

fof(f664,axiom,
    ~ ( e1 = op(op(e3,e2),op(e3,e2))
      & e4 = op(e3,e2)
      & e5 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax664) ).

fof(f6349,plain,
    spl0_765,
    inference(avatar_split_clause,[],[f2248,f6346]) ).

fof(f6346,plain,
    ( spl0_765
  <=> op(op(e4,e1),e2) = op(e4,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).

fof(f2248,plain,
    op(op(e4,e1),e2) = op(e4,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6344,plain,
    ( ~ spl0_415
    | ~ spl0_523
    | ~ spl0_106
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f2537,f4097,f3165,f5078,f4566]) ).

fof(f2537,plain,
    ( e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e3 != op(e5,e4)
    | e1 != op(op(e5,e4),op(e5,e4))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f780]) ).

fof(f780,plain,
    ( e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(e5,e4)
    | e1 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ~ ( e2 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e0 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e1 = op(op(e5,e4),op(e5,e4))
      & e3 = op(e5,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

fof(f6343,plain,
    spl0_764,
    inference(avatar_split_clause,[],[f2217,f6340]) ).

fof(f6340,plain,
    ( spl0_764
  <=> op(op(e1,e0),e1) = op(e1,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).

fof(f2217,plain,
    op(op(e1,e0),e1) = op(e1,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6338,plain,
    spl0_763,
    inference(avatar_split_clause,[],[f2221,f6335]) ).

fof(f6335,plain,
    ( spl0_763
  <=> op(op(e2,e5),e5) = op(e2,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).

fof(f2221,plain,
    op(op(e2,e5),e5) = op(e2,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6333,plain,
    ( ~ spl0_686
    | ~ spl0_467
    | ~ spl0_761
    | ~ spl0_762 ),
    inference(avatar_split_clause,[],[f1780,f6330,f6326,f4818,f5897]) ).

fof(f1780,plain,
    ( e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(e0,e2)
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(cnf_transformation,[],[f800]) ).

fof(f800,plain,
    ( e4 != op(e0,e2)
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(op(e0,e2),op(e0,e2))
    | e1 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(ennf_transformation,[],[f671]) ).

fof(f671,axiom,
    ~ ( e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e1 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e4 = op(e0,e2)
      & e3 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax671) ).

fof(f6324,plain,
    ( spl0_189
    | ~ spl0_760 ),
    inference(avatar_split_clause,[],[f1696,f6321,f3532]) ).

fof(f1696,plain,
    ( e3 != inv(e1)
    | e1 = inv(e3) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6319,plain,
    ( ~ spl0_605
    | ~ spl0_99
    | ~ spl0_97
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2477,f3414,f3127,f3135,f5482]) ).

fof(f3135,plain,
    ( spl0_99
  <=> e0 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2477,plain,
    ( e4 != op(e3,e1)
    | e5 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f781]) ).

fof(f781,plain,
    ( e5 != op(op(e3,e1),op(e3,e1))
    | e4 != op(e3,e1)
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f279]) ).

fof(f279,axiom,
    ~ ( e5 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,e1)
      & e0 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e2 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax279) ).

fof(f6318,plain,
    ( ~ spl0_486
    | ~ spl0_391
    | ~ spl0_504
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f2582,f4364,f4988,f4455,f4905]) ).

fof(f2582,plain,
    ( e4 != op(e1,e3)
    | e0 != op(op(e1,e3),op(e1,e3))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f1163]) ).

fof(f1163,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(e1,e3) ),
    inference(ennf_transformation,[],[f322]) ).

fof(f322,axiom,
    ~ ( e5 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e4 = op(e1,e3)
      & e2 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e0 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax322) ).

fof(f6317,plain,
    spl0_759,
    inference(avatar_split_clause,[],[f2214,f6314]) ).

fof(f6314,plain,
    ( spl0_759
  <=> op(op(e2,e0),e4) = op(e2,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).

fof(f2214,plain,
    op(op(e2,e0),e4) = op(e2,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6312,plain,
    ( ~ spl0_245
    | ~ spl0_129
    | ~ spl0_2
    | ~ spl0_616 ),
    inference(avatar_split_clause,[],[f2058,f5536,f2711,f3264,f3785]) ).

fof(f2058,plain,
    ( e5 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(e0,e3) ),
    inference(cnf_transformation,[],[f1189]) ).

fof(f1189,plain,
    ( e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(e0,e3) ),
    inference(ennf_transformation,[],[f309]) ).

fof(f309,axiom,
    ~ ( e4 = op(e0,e3)
      & e1 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e2 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e5 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax309) ).

fof(f6311,plain,
    ( ~ spl0_639
    | ~ spl0_256
    | ~ spl0_328
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f2516,f3842,f4162,f3834,f5645]) ).

fof(f2516,plain,
    ( e5 != op(op(e4,e2),op(e4,e2))
    | e0 != op(e4,e2)
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f1296]) ).

fof(f1296,plain,
    ( e0 != op(e4,e2)
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(op(e4,e2),op(e4,e2))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f163,axiom,
    ~ ( e0 = op(e4,e2)
      & e3 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(op(e4,e2),op(e4,e2))
      & e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).

fof(f6310,plain,
    ( ~ spl0_146
    | ~ spl0_593
    | ~ spl0_187
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f2657,f3588,f3523,f5419,f3342]) ).

fof(f2657,plain,
    ( e1 != op(e4,e0)
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f830]) ).

fof(f830,plain,
    ( e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,e0)
    | e2 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f390]) ).

fof(f390,axiom,
    ~ ( e2 = op(op(e4,e0),op(e4,e0))
      & e5 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e1 = op(e4,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax390) ).

fof(f6309,plain,
    ( ~ spl0_123
    | ~ spl0_125
    | ~ spl0_438
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f2634,f3900,f4677,f3246,f3238]) ).

fof(f3238,plain,
    ( spl0_123
  <=> e2 = op(op(e1,e4),op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2634,plain,
    ( e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(e1,e4)
    | e2 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f851]) ).

fof(f851,plain,
    ( e2 != op(op(e1,e4),op(e1,e4))
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,e4) ),
    inference(ennf_transformation,[],[f449]) ).

fof(f449,axiom,
    ~ ( e3 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e5 = op(e1,e4)
      & e2 = op(op(e1,e4),op(e1,e4))
      & e0 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax449) ).

fof(f6308,plain,
    ( ~ spl0_757
    | spl0_758 ),
    inference(avatar_split_clause,[],[f1699,f6305,f6301]) ).

fof(f1699,plain,
    ( e0 = inv(e2)
    | e2 != inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6299,plain,
    spl0_756,
    inference(avatar_split_clause,[],[f2320,f6296]) ).

fof(f6296,plain,
    ( spl0_756
  <=> op(op(e0,e5),e2) = op(e0,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).

fof(f2320,plain,
    op(op(e0,e5),e2) = op(e0,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6294,plain,
    ( ~ spl0_242
    | ~ spl0_372
    | ~ spl0_102
    | ~ spl0_481 ),
    inference(avatar_split_clause,[],[f2587,f4880,f3148,f4364,f3770]) ).

fof(f2587,plain,
    ( e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,e3)
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f1272]) ).

fof(f1272,plain,
    ( e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,e3) ),
    inference(ennf_transformation,[],[f689]) ).

fof(f689,axiom,
    ~ ( e0 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e2 = op(op(e1,e3),op(e1,e3))
      & e4 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax689) ).

fof(f6293,plain,
    ( ~ spl0_46
    | ~ spl0_230
    | ~ spl0_121
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1483,f2907,f3229,f3715,f2903]) ).

fof(f1483,plain,
    ( e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e2 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1262]) ).

fof(f1262,plain,
    ( e2 != op(e1,e5)
    | e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e0 != op(op(e1,e5),op(e1,e5))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    inference(ennf_transformation,[],[f490]) ).

fof(f490,axiom,
    ~ ( e3 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e0 = op(op(e1,e5),op(e1,e5))
      & e4 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e2 = op(e1,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax490) ).

fof(f6292,plain,
    spl0_755,
    inference(avatar_split_clause,[],[f2290,f6289]) ).

fof(f6289,plain,
    ( spl0_755
  <=> op(op(e5,e3),e0) = op(e5,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).

fof(f2290,plain,
    op(op(e5,e3),e0) = op(e5,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6287,plain,
    ( ~ spl0_260
    | ~ spl0_262
    | ~ spl0_599
    | ~ spl0_619 ),
    inference(avatar_split_clause,[],[f2683,f5551,f5449,f3859,f3851]) ).

fof(f2683,plain,
    ( e3 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(op(e2,e4),op(e2,e4))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f751]) ).

fof(f751,plain,
    ( e5 != op(op(e2,e4),op(e2,e4))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e3 != op(e2,e4) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ~ ( e3 = op(e2,e4)
      & e1 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e5 = op(op(e2,e4),op(e2,e4))
      & e0 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

fof(f6286,plain,
    ( ~ spl0_754
    | ~ spl0_642
    | ~ spl0_380
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2493,f2825,f4403,f5661,f6283]) ).

fof(f2493,plain,
    ( e2 != op(e3,e4)
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(op(e3,e4),op(e3,e4)) ),
    inference(cnf_transformation,[],[f1033]) ).

fof(f1033,plain,
    ( e0 != op(op(e3,e4),op(e3,e4))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(e3,e4) ),
    inference(ennf_transformation,[],[f224]) ).

fof(f224,axiom,
    ~ ( e0 = op(op(e3,e4),op(e3,e4))
      & e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e5 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e2 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax224) ).

fof(f6281,plain,
    ( ~ spl0_403
    | ~ spl0_224
    | ~ spl0_267
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f2590,f4604,f3881,f3689,f4510]) ).

fof(f2590,plain,
    ( e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,e5),op(e0,e5))
    | e3 != op(e0,e5) ),
    inference(cnf_transformation,[],[f953]) ).

fof(f953,plain,
    ( e1 != op(op(e0,e5),op(e0,e5))
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e3 != op(e0,e5) ),
    inference(ennf_transformation,[],[f605]) ).

fof(f605,axiom,
    ~ ( e3 = op(e0,e5)
      & e1 = op(op(e0,e5),op(e0,e5))
      & e2 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax605) ).

fof(f6280,plain,
    ( ~ spl0_1
    | ~ spl0_246
    | ~ spl0_690
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2626,f3260,f5919,f3789,f2707]) ).

fof(f2626,plain,
    ( e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3)
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f1295]) ).

fof(f1295,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3)
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f705]) ).

fof(f705,axiom,
    ~ ( e1 = op(e0,e3)
      & e4 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e2 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax705) ).

fof(f6279,plain,
    ( ~ spl0_11
    | ~ spl0_252
    | ~ spl0_76
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f2618,f2734,f3035,f3815,f2751]) ).

fof(f2618,plain,
    ( e5 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,e1) ),
    inference(cnf_transformation,[],[f1200]) ).

fof(f1200,plain,
    ( e5 != op(op(e2,e1),op(e2,e1))
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,e1)
    | e0 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f519]) ).

fof(f519,axiom,
    ~ ( e3 = op(e2,e1)
      & e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e0 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e5 = op(op(e2,e1),op(e2,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax519) ).

fof(f6278,plain,
    ( ~ spl0_591
    | ~ spl0_708
    | ~ spl0_60
    | ~ spl0_655 ),
    inference(avatar_split_clause,[],[f2404,f5732,f2964,f6018,f5409]) ).

fof(f2404,plain,
    ( e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(e1,e0)
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f1031]) ).

fof(f1031,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(e1,e0) ),
    inference(ennf_transformation,[],[f395]) ).

fof(f395,axiom,
    ~ ( e2 = op(op(e1,e0),op(e1,e0))
      & e5 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e4 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax395) ).

fof(f6277,plain,
    spl0_753,
    inference(avatar_split_clause,[],[f2527,f6274]) ).

fof(f6274,plain,
    ( spl0_753
  <=> e0 = op(e0,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).

fof(f2527,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f6272,plain,
    ( ~ spl0_302
    | ~ spl0_456
    | ~ spl0_484
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2104,f3329,f4896,f4761,f4043]) ).

fof(f2104,plain,
    ( e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(op(e3,e5),op(e3,e5))
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,e5) ),
    inference(cnf_transformation,[],[f923]) ).

fof(f923,plain,
    ( e1 != op(e3,e5)
    | e4 != op(op(e3,e5),op(e3,e5))
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f349]) ).

fof(f349,axiom,
    ~ ( e1 = op(e3,e5)
      & e2 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e4 = op(op(e3,e5),op(e3,e5))
      & e0 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax349) ).

fof(f6271,plain,
    ( ~ spl0_324
    | ~ spl0_116
    | ~ spl0_633
    | ~ spl0_752 ),
    inference(avatar_split_clause,[],[f1579,f6268,f5619,f3208,f4145]) ).

fof(f1579,plain,
    ( e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(e5,e0)
    | e3 != op(op(e5,e0),op(e5,e0))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(cnf_transformation,[],[f996]) ).

fof(f996,plain,
    ( e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(e5,e0)
    | e4 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(op(e5,e0),op(e5,e0)) ),
    inference(ennf_transformation,[],[f492]) ).

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

fof(f6266,plain,
    ( ~ spl0_751
    | ~ spl0_687
    | ~ spl0_238
    | ~ spl0_468 ),
    inference(avatar_split_clause,[],[f2681,f4822,f3753,f5901,f6263]) ).

fof(f2681,plain,
    ( e1 != op(e0,e2)
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e4 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f1280]) ).

fof(f1280,plain,
    ( e5 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,e2)
    | e4 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f441]) ).

fof(f441,axiom,
    ~ ( e1 = op(e0,e2)
      & e5 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e4 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax441) ).

fof(f6261,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_544
    | ~ spl0_441 ),
    inference(avatar_split_clause,[],[f1668,f4689,f5178,f3246,f3242]) ).

fof(f1668,plain,
    ( e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(op(e1,e4),op(e1,e4))
    | e5 != op(e1,e4)
    | e3 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f1044]) ).

fof(f1044,plain,
    ( e5 != op(e1,e4)
    | e0 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(ennf_transformation,[],[f340]) ).

fof(f340,axiom,
    ~ ( e5 = op(e1,e4)
      & e0 = op(op(e1,e4),op(e1,e4))
      & e2 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e3 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax340) ).

fof(f6260,plain,
    spl0_750,
    inference(avatar_split_clause,[],[f1493,f6257]) ).

fof(f6257,plain,
    ( spl0_750
  <=> e5 = inv(inv(e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).

fof(f1493,plain,
    e5 = inv(inv(e5)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6255,plain,
    ( ~ spl0_214
    | ~ spl0_594
    | ~ spl0_153
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1756,f3052,f3374,f5424,f3641]) ).

fof(f1756,plain,
    ( e5 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,e4)
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1382]) ).

fof(f1382,plain,
    ( e1 != op(e0,e4)
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(op(e0,e4),op(e0,e4)) ),
    inference(ennf_transformation,[],[f339]) ).

fof(f339,axiom,
    ~ ( e3 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(e0,e4)
      & e2 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e5 = op(op(e0,e4),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax339) ).

fof(f6254,plain,
    ( ~ spl0_227
    | ~ spl0_225
    | ~ spl0_353
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f2695,f5509,f4278,f3693,f3701]) ).

fof(f2695,plain,
    ( e1 != op(e0,e5)
    | e2 != op(op(e0,e5),op(e0,e5))
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(cnf_transformation,[],[f1413]) ).

fof(f1413,plain,
    ( e1 != op(e0,e5)
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,e5),op(e0,e5))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(ennf_transformation,[],[f489]) ).

fof(f489,axiom,
    ~ ( e4 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e2 = op(op(e0,e5),op(e0,e5))
      & e1 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax489) ).

fof(f6253,plain,
    ~ spl0_749,
    inference(avatar_split_clause,[],[f2013,f6250]) ).

fof(f6250,plain,
    ( spl0_749
  <=> op(e5,e0) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).

fof(f2013,plain,
    op(e5,e0) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f6248,plain,
    ( spl0_747
    | spl0_609
    | spl0_537
    | spl0_159
    | spl0_627
    | spl0_748 ),
    inference(avatar_split_clause,[],[f1752,f6245,f5591,f3401,f5144,f5499,f6241]) ).

fof(f6241,plain,
    ( spl0_747
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).

fof(f6245,plain,
    ( spl0_748
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).

fof(f1752,plain,
    ( e0 = op(e0,e1)
    | e2 = op(e0,e1)
    | e4 = op(e0,e1)
    | e5 = op(e0,e1)
    | e3 = op(e0,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6239,plain,
    ( ~ spl0_689
    | ~ spl0_291
    | ~ spl0_343
    | ~ spl0_431 ),
    inference(avatar_split_clause,[],[f2439,f4643,f4231,f3993,f5913]) ).

fof(f2439,plain,
    ( e1 != op(e5,e3)
    | e0 != op(op(e5,e3),op(e5,e3))
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(cnf_transformation,[],[f1208]) ).

fof(f1208,plain,
    ( e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(e5,e3)
    | e0 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(ennf_transformation,[],[f578]) ).

fof(f578,axiom,
    ~ ( e0 = op(op(e5,e3),op(e5,e3))
      & e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e2 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e1 = op(e5,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax578) ).

fof(f6238,plain,
    ( ~ spl0_718
    | ~ spl0_378
    | ~ spl0_642
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1567,f2837,f5661,f4390,f6070]) ).

fof(f1567,plain,
    ( e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,e4)
    | e2 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f735]) ).

fof(f735,plain,
    ( e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e0 != op(e3,e4) ),
    inference(ennf_transformation,[],[f211]) ).

fof(f211,axiom,
    ~ ( e2 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e5 = op(op(e3,e4),op(e3,e4))
      & e0 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax211) ).

fof(f6237,plain,
    ( ~ spl0_499
    | ~ spl0_570
    | ~ spl0_54
    | ~ spl0_664 ),
    inference(avatar_split_clause,[],[f2677,f5777,f2939,f5303,f4963]) ).

fof(f2677,plain,
    ( e2 != op(e4,e3)
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e1 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f1019]) ).

fof(f1019,plain,
    ( e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(e4,e3) ),
    inference(ennf_transformation,[],[f686]) ).

fof(f686,axiom,
    ~ ( e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e1 = op(op(e4,e3),op(e4,e3))
      & e0 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e2 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax686) ).

fof(f6236,plain,
    ( ~ spl0_494
    | ~ spl0_4
    | ~ spl0_246
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1466,f3264,f3789,f2719,f4939]) ).

fof(f1466,plain,
    ( e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(e0,e3)
    | e4 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(cnf_transformation,[],[f1091]) ).

fof(f1091,plain,
    ( e1 != op(e0,e3)
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f321]) ).

fof(f321,axiom,
    ~ ( e4 = op(op(e0,e3),op(e0,e3))
      & e2 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e1 = op(e0,e3)
      & e5 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax321) ).

fof(f6235,plain,
    ~ spl0_746,
    inference(avatar_split_clause,[],[f1889,f6232]) ).

fof(f6232,plain,
    ( spl0_746
  <=> op(e1,e0) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).

fof(f1889,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6230,plain,
    ( ~ spl0_35
    | ~ spl0_443
    | ~ spl0_33
    | ~ spl0_745 ),
    inference(avatar_split_clause,[],[f2468,f6227,f2846,f4700,f2854]) ).

fof(f2468,plain,
    ( e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,e5)
    | e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f827]) ).

fof(f827,plain,
    ( e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e4 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,e5) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f130,axiom,
    ~ ( e4 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e1 = op(op(e2,e5),op(e2,e5))
      & e0 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(e2,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).

fof(f6225,plain,
    ( spl0_739
    | spl0_740
    | spl0_741
    | spl0_742
    | spl0_743
    | spl0_744 ),
    inference(avatar_split_clause,[],[f1749,f6222,f6218,f6214,f6210,f6206,f6202]) ).

fof(f6202,plain,
    ( spl0_739
  <=> e2 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).

fof(f6206,plain,
    ( spl0_740
  <=> e4 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).

fof(f6210,plain,
    ( spl0_741
  <=> e1 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).

fof(f6214,plain,
    ( spl0_742
  <=> e5 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).

fof(f6218,plain,
    ( spl0_743
  <=> e0 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).

fof(f6222,plain,
    ( spl0_744
  <=> e3 = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).

fof(f1749,plain,
    ( e3 = op(e5,e5)
    | e0 = op(e5,e5)
    | e5 = op(e5,e5)
    | e1 = op(e5,e5)
    | e4 = op(e5,e5)
    | e2 = op(e5,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6200,plain,
    ( ~ spl0_415
    | ~ spl0_264
    | ~ spl0_106
    | ~ spl0_500 ),
    inference(avatar_split_clause,[],[f1717,f4968,f3165,f3868,f4566]) ).

fof(f1717,plain,
    ( e2 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,e4)
    | e1 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f1305]) ).

fof(f1305,plain,
    ( e2 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,e4)
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ~ ( e0 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e1 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e2 = op(op(e5,e4),op(e5,e4))
      & e3 = op(e5,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(f6199,plain,
    ( ~ spl0_123
    | ~ spl0_126
    | ~ spl0_272
    | ~ spl0_439 ),
    inference(avatar_split_clause,[],[f2096,f4681,f3904,f3250,f3238]) ).

fof(f2096,plain,
    ( e3 != op(e1,e4)
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f1351]) ).

fof(f1351,plain,
    ( e2 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,e4)
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,axiom,
    ~ ( e2 = op(op(e1,e4),op(e1,e4))
      & e5 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e3 = op(e1,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).

fof(f6198,plain,
    ( ~ spl0_118
    | ~ spl0_115
    | ~ spl0_667
    | ~ spl0_700 ),
    inference(avatar_split_clause,[],[f1774,f5974,f5792,f3204,f3216]) ).

fof(f1774,plain,
    ( e1 != op(op(e5,e0),op(e5,e0))
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(e5,e0) ),
    inference(cnf_transformation,[],[f1169]) ).

fof(f1169,plain,
    ( e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,e0) ),
    inference(ennf_transformation,[],[f380]) ).

fof(f380,axiom,
    ~ ( e1 = op(op(e5,e0),op(e5,e0))
      & e3 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e2 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e4 = op(e5,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax380) ).

fof(f6197,plain,
    ( ~ spl0_86
    | ~ spl0_723
    | ~ spl0_88
    | ~ spl0_551 ),
    inference(avatar_split_clause,[],[f1806,f5210,f3086,f6099,f3078]) ).

fof(f1806,plain,
    ( e0 != op(op(e1,e2),op(e1,e2))
    | e5 != op(e1,e2)
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f1350]) ).

fof(f1350,plain,
    ( e5 != op(e1,e2)
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f436]) ).

fof(f436,axiom,
    ~ ( e0 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e5 = op(e1,e2)
      & e4 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax436) ).

fof(f6196,plain,
    spl0_738,
    inference(avatar_split_clause,[],[f2129,f6193]) ).

fof(f6193,plain,
    ( spl0_738
  <=> op(op(e1,e1),e5) = op(e1,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).

fof(f2129,plain,
    op(op(e1,e1),e5) = op(e1,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6191,plain,
    ~ spl0_737,
    inference(avatar_split_clause,[],[f2003,f6188]) ).

fof(f6188,plain,
    ( spl0_737
  <=> op(e2,e1) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).

fof(f2003,plain,
    op(e2,e1) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6186,plain,
    ( ~ spl0_722
    | ~ spl0_550
    | ~ spl0_287
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2336,f3074,f3975,f5206,f6095]) ).

fof(f2336,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e4 != op(e1,e2)
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f883]) ).

fof(f883,plain,
    ( e4 != op(e1,e2)
    | e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e3 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f665]) ).

fof(f665,axiom,
    ~ ( e3 = op(op(e1,e2),op(e1,e2))
      & e0 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax665) ).

fof(f6185,plain,
    ( ~ spl0_674
    | ~ spl0_27
    | ~ spl0_413
    | ~ spl0_545 ),
    inference(avatar_split_clause,[],[f2620,f5183,f4556,f2820,f5828]) ).

fof(f2620,plain,
    ( e1 != op(e4,e5)
    | e3 != op(op(e4,e5),op(e4,e5))
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1016]) ).

fof(f1016,plain,
    ( e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(e4,e5)
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(op(e4,e5),op(e4,e5)) ),
    inference(ennf_transformation,[],[f348]) ).

fof(f348,axiom,
    ~ ( e2 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e0 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e1 = op(e4,e5)
      & e3 = op(op(e4,e5),op(e4,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax348) ).

fof(f6184,plain,
    ( ~ spl0_403
    | ~ spl0_520
    | ~ spl0_224
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f1864,f3693,f3689,f5062,f4510]) ).

fof(f1864,plain,
    ( e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(e0,e5) ),
    inference(cnf_transformation,[],[f1109]) ).

fof(f1109,plain,
    ( e3 != op(e0,e5)
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,e5),op(e0,e5)) ),
    inference(ennf_transformation,[],[f371]) ).

fof(f371,axiom,
    ~ ( e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e3 = op(e0,e5)
      & e1 = op(op(e0,e5),op(e0,e5))
      & e4 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax371) ).

fof(f6183,plain,
    ~ spl0_736,
    inference(avatar_split_clause,[],[f1873,f6180]) ).

fof(f6180,plain,
    ( spl0_736
  <=> op(e4,e0) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).

fof(f1873,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f6178,plain,
    ( ~ spl0_87
    | ~ spl0_88
    | ~ spl0_552
    | ~ spl0_679 ),
    inference(avatar_split_clause,[],[f1825,f5857,f5214,f3086,f3082]) ).

fof(f1825,plain,
    ( e4 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(e1,e2)
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(cnf_transformation,[],[f788]) ).

fof(f788,plain,
    ( e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(e1,e2)
    | e4 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ~ ( e4 = op(op(e1,e2),op(e1,e2))
      & e5 = op(e1,e2)
      & e3 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f6177,plain,
    ( ~ spl0_338
    | ~ spl0_112
    | ~ spl0_206
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2077,f3199,f3606,f3191,f4210]) ).

fof(f2077,plain,
    ( e2 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1309]) ).

fof(f1309,plain,
    ( e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(e5,e1)
    | e2 != op(op(e5,e1),op(e5,e1))
    | e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(ennf_transformation,[],[f408]) ).

fof(f408,axiom,
    ~ ( e3 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e4 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e0 = op(e5,e1)
      & e2 = op(op(e5,e1),op(e5,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax408) ).

fof(f6176,plain,
    ( ~ spl0_216
    | ~ spl0_71
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1773,f2920,f2916,f3013,f3650]) ).

fof(f1773,plain,
    ( e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(e2,e0)
    | e4 != op(op(e2,e0),op(e2,e0))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f1075]) ).

fof(f1075,plain,
    ( e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e4 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,e0) ),
    inference(ennf_transformation,[],[f391]) ).

fof(f391,axiom,
    ~ ( e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e5 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e1 = op(e2,e0)
      & e4 = op(op(e2,e0),op(e2,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax391) ).

fof(f6175,plain,
    spl0_735,
    inference(avatar_split_clause,[],[f2308,f6172]) ).

fof(f6172,plain,
    ( spl0_735
  <=> op(op(e2,e5),e0) = op(e2,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).

fof(f2308,plain,
    op(op(e2,e5),e0) = op(e2,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6170,plain,
    ( ~ spl0_643
    | ~ spl0_686
    | ~ spl0_467
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f2629,f3749,f4818,f5897,f5666]) ).

fof(f2629,plain,
    ( e1 != op(op(e0,e2),op(e0,e2))
    | e4 != op(e0,e2)
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f737]) ).

fof(f737,plain,
    ( e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e4 != op(e0,e2)
    | e1 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f677]) ).

fof(f677,axiom,
    ~ ( e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e1 = op(op(e0,e2),op(e0,e2))
      & e4 = op(e0,e2)
      & e3 = op(e0,op(op(e0,e2),op(e0,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax677) ).

fof(f6169,plain,
    ~ spl0_734,
    inference(avatar_split_clause,[],[f2441,f6166]) ).

fof(f6166,plain,
    ( spl0_734
  <=> e0 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).

fof(f2441,plain,
    e0 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f6164,plain,
    ( ~ spl0_307
    | ~ spl0_92
    | ~ spl0_396
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f1703,f4338,f4479,f3106,f4064]) ).

fof(f1703,plain,
    ( e5 != op(e2,e3)
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(op(e2,e3),op(e2,e3))
    | e4 != op(e2,op(op(e2,e3),op(e2,e3))) ),
    inference(cnf_transformation,[],[f1153]) ).

fof(f1153,plain,
    ( e5 != op(e2,e3)
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(op(e2,e3),op(e2,e3))
    | e4 != op(e2,op(op(e2,e3),op(e2,e3))) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ~ ( e0 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e5 = op(e2,e3)
      & e1 = op(op(e2,e3),op(e2,e3))
      & e4 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f6163,plain,
    ~ spl0_733,
    inference(avatar_split_clause,[],[f2007,f6160]) ).

fof(f6160,plain,
    ( spl0_733
  <=> op(e4,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).

fof(f2007,plain,
    op(e4,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6158,plain,
    ( ~ spl0_605
    | ~ spl0_201
    | ~ spl0_200
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2333,f3414,f3579,f3583,f5482]) ).

fof(f2333,plain,
    ( e4 != op(e3,e1)
    | e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(op(e3,e1),op(e3,e1))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1141,plain,
    ( e4 != op(e3,e1)
    | e0 != op(op(e3,e1),op(e3,e1))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f298]) ).

fof(f298,axiom,
    ~ ( e4 = op(e3,e1)
      & e0 = op(op(e3,e1),op(e3,e1))
      & e5 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e2 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax298) ).

fof(f6157,plain,
    ( ~ spl0_398
    | ~ spl0_585
    | ~ spl0_587
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f2680,f4492,f5389,f5381,f4488]) ).

fof(f2680,plain,
    ( e3 != op(e4,e1)
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(op(e4,e1),op(e4,e1))
    | e2 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1256]) ).

fof(f1256,plain,
    ( e5 != op(op(e4,e1),op(e4,e1))
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e3 != op(e4,e1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e3 = op(e4,e1)
      & e5 = op(op(e4,e1),op(e4,e1))
      & e2 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f6156,plain,
    ~ spl0_732,
    inference(avatar_split_clause,[],[f1919,f6153]) ).

fof(f6153,plain,
    ( spl0_732
  <=> op(e4,e3) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).

fof(f1919,plain,
    op(e4,e3) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6151,plain,
    spl0_731,
    inference(avatar_split_clause,[],[f2169,f6148]) ).

fof(f6148,plain,
    ( spl0_731
  <=> op(op(e4,e5),e3) = op(e4,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).

fof(f2169,plain,
    op(op(e4,e5),e3) = op(e4,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6146,plain,
    ( ~ spl0_258
    | ~ spl0_704
    | ~ spl0_680
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f1573,f3838,f5862,f5994,f3842]) ).

fof(f1573,plain,
    ( e1 != op(e4,e2)
    | e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(op(e4,e2),op(e4,e2)) ),
    inference(cnf_transformation,[],[f1374]) ).

fof(f1374,plain,
    ( e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(e4,e2)
    | e5 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f421]) ).

fof(f421,axiom,
    ~ ( e0 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e1 = op(e4,e2)
      & e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e5 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax421) ).

fof(f6145,plain,
    ( ~ spl0_579
    | ~ spl0_24
    | ~ spl0_674
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f2055,f4255,f5828,f2808,f5348]) ).

fof(f2055,plain,
    ( e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(e4,e5)
    | e2 != op(op(e4,e5),op(e4,e5)) ),
    inference(cnf_transformation,[],[f785]) ).

fof(f785,plain,
    ( e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(e4,e5)
    | e2 != op(op(e4,e5),op(e4,e5)) ),
    inference(ennf_transformation,[],[f230]) ).

fof(f230,axiom,
    ~ ( e3 = op(e4,e5)
      & e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e2 = op(op(e4,e5),op(e4,e5))
      & e0 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax230) ).

fof(f6144,plain,
    ( ~ spl0_563
    | ~ spl0_540
    | ~ spl0_606
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2463,f3410,f5486,f5159,f5269]) ).

fof(f2463,plain,
    ( e0 != op(e3,e1)
    | e4 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f744]) ).

fof(f744,plain,
    ( e4 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,e1) ),
    inference(ennf_transformation,[],[f643]) ).

fof(f643,axiom,
    ~ ( e4 = op(op(e3,e1),op(e3,e1))
      & e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e0 = op(e3,e1)
      & e2 = op(e3,op(op(e3,e1),op(e3,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax643) ).

fof(f6143,plain,
    ( ~ spl0_85
    | ~ spl0_550
    | ~ spl0_86
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f2653,f3971,f3078,f5206,f3074]) ).

fof(f2653,plain,
    ( e0 != op(e1,e2)
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e3 != op(op(e1,e2),op(e1,e2)) ),
    inference(cnf_transformation,[],[f1365]) ).

fof(f1365,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(e1,e2) ),
    inference(ennf_transformation,[],[f679]) ).

fof(f679,axiom,
    ~ ( e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e0 = op(e1,e2)
      & e3 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax679) ).

fof(f6142,plain,
    ~ spl0_730,
    inference(avatar_split_clause,[],[f1934,f6139]) ).

fof(f6139,plain,
    ( spl0_730
  <=> op(e2,e0) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).

fof(f1934,plain,
    op(e2,e0) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6137,plain,
    ( ~ spl0_512
    | spl0_513 ),
    inference(avatar_split_clause,[],[f1698,f5026,f5022]) ).

fof(f1698,plain,
    ( e2 = inv(e4)
    | e4 != inv(e2) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6136,plain,
    ( ~ spl0_546
    | ~ spl0_620
    | ~ spl0_729
    | ~ spl0_621 ),
    inference(avatar_split_clause,[],[f2655,f5560,f6133,f5556,f5188]) ).

fof(f2655,plain,
    ( e3 != op(e4,e0)
    | e5 != op(op(e4,e0),op(e4,e0))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f1423]) ).

fof(f1423,plain,
    ( e5 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e3 != op(e4,e0)
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f253]) ).

fof(f253,axiom,
    ~ ( e1 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(e4,e0)
      & e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e5 = op(op(e4,e0),op(e4,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax253) ).

fof(f6131,plain,
    ( ~ spl0_154
    | ~ spl0_728
    | ~ spl0_268
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2459,f3374,f3886,f6128,f3378]) ).

fof(f2459,plain,
    ( e1 != op(e0,e4)
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(op(e0,e4),op(e0,e4))
    | e2 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1098]) ).

fof(f1098,plain,
    ( e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(op(e0,e4),op(e0,e4))
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(e0,e4) ),
    inference(ennf_transformation,[],[f723]) ).

fof(f723,axiom,
    ~ ( e3 = op(op(e0,e4),op(e0,e4))
      & e1 = op(e0,e4)
      & e2 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e5 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax723) ).

fof(f6126,plain,
    spl0_727,
    inference(avatar_split_clause,[],[f2522,f6123]) ).

fof(f6123,plain,
    ( spl0_727
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).

fof(f2522,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f6121,plain,
    ( ~ spl0_194
    | ~ spl0_193
    | ~ spl0_34
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1477,f2846,f2850,f3549,f3553]) ).

fof(f1477,plain,
    ( e1 != op(op(e2,e5),op(e2,e5))
    | e4 != op(e2,e5)
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f772]) ).

fof(f772,plain,
    ( e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(e2,e5) ),
    inference(ennf_transformation,[],[f472]) ).

fof(f472,axiom,
    ~ ( e0 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e1 = op(op(e2,e5),op(e2,e5))
      & e3 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e4 = op(e2,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax472) ).

fof(f6120,plain,
    spl0_726,
    inference(avatar_split_clause,[],[f2154,f6117]) ).

fof(f6117,plain,
    ( spl0_726
  <=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).

fof(f2154,plain,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6115,plain,
    spl0_725,
    inference(avatar_split_clause,[],[f2300,f6112]) ).

fof(f6112,plain,
    ( spl0_725
  <=> op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).

fof(f2300,plain,
    op(op(e0,e0),e0) = op(e0,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6110,plain,
    spl0_724,
    inference(avatar_split_clause,[],[f2259,f6107]) ).

fof(f6107,plain,
    ( spl0_724
  <=> op(op(e0,e4),e1) = op(e0,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).

fof(f2259,plain,
    op(op(e0,e4),e1) = op(e0,op(e4,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6105,plain,
    ( ~ spl0_208
    | ~ spl0_576
    | ~ spl0_113
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1770,f3191,f3195,f5333,f3614]) ).

fof(f1770,plain,
    ( e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e2 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1196]) ).

fof(f1196,plain,
    ( e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,e1)
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1)) ),
    inference(ennf_transformation,[],[f396]) ).

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

fof(f6104,plain,
    ( ~ spl0_542
    | ~ spl0_615
    | ~ spl0_175
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2663,f3467,f3471,f5531,f5168]) ).

fof(f2663,plain,
    ( e4 != op(e3,e2)
    | e5 != op(op(e3,e2),op(e3,e2))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f1250]) ).

fof(f1250,plain,
    ( e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e4 != op(e3,e2) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f159,axiom,
    ~ ( e0 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e4 = op(e3,e2)
      & e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e5 = op(op(e3,e2),op(e3,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).

fof(f6103,plain,
    ( ~ spl0_310
    | ~ spl0_172
    | ~ spl0_343
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1634,f3454,f4231,f3458,f4078]) ).

fof(f1634,plain,
    ( e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(op(e5,e3),op(e5,e3))
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,e3) ),
    inference(cnf_transformation,[],[f1263]) ).

fof(f1263,plain,
    ( e0 != op(op(e5,e3),op(e5,e3))
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,e3) ),
    inference(ennf_transformation,[],[f194]) ).

fof(f194,axiom,
    ~ ( e0 = op(op(e5,e3),op(e5,e3))
      & e4 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e2 = op(e5,e3)
      & e1 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax194) ).

fof(f6102,plain,
    ( ~ spl0_722
    | ~ spl0_723
    | ~ spl0_88
    | ~ spl0_679 ),
    inference(avatar_split_clause,[],[f2650,f5857,f3086,f6099,f6095]) ).

fof(f2650,plain,
    ( e4 != op(op(e1,e2),op(e1,e2))
    | e5 != op(e1,e2)
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f844]) ).

fof(f844,plain,
    ( e0 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(e1,e2)
    | e4 != op(op(e1,e2),op(e1,e2))
    | e3 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f425]) ).

fof(f425,axiom,
    ~ ( e0 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(e1,e2)
      & e3 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax425) ).

fof(f6093,plain,
    ( ~ spl0_613
    | ~ spl0_50
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1529,f3013,f3005,f2920,f5521]) ).

fof(f1529,plain,
    ( e4 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,e0) ),
    inference(cnf_transformation,[],[f1342]) ).

fof(f1342,plain,
    ( e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,e0)
    | e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e4 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f377]) ).

fof(f377,axiom,
    ~ ( e5 = op(e2,e0)
      & e1 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e4 = op(op(e2,e0),op(e2,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax377) ).

fof(f6092,plain,
    ( ~ spl0_120
    | ~ spl0_197
    | ~ spl0_425
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2570,f3574,f4613,f3566,f3225]) ).

fof(f2570,plain,
    ( e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,e5)
    | e2 != op(op(e1,e5),op(e1,e5))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f957]) ).

fof(f957,plain,
    ( e2 != op(op(e1,e5),op(e1,e5))
    | e0 != op(e1,e5)
    | e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    inference(ennf_transformation,[],[f607]) ).

fof(f607,axiom,
    ~ ( e0 = op(e1,e5)
      & e2 = op(op(e1,e5),op(e1,e5))
      & e3 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax607) ).

fof(f6091,plain,
    ( ~ spl0_673
    | ~ spl0_592
    | ~ spl0_593
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1779,f3346,f5419,f5415,f5822]) ).

fof(f1779,plain,
    ( e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f1361]) ).

fof(f1361,plain,
    ( e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f150]) ).

fof(f150,axiom,
    ~ ( e2 = op(e4,e0)
      & e5 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(op(e4,e0),op(e4,e0))
      & e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).

fof(f6090,plain,
    ( ~ spl0_714
    | ~ spl0_175
    | ~ spl0_177
    | ~ spl0_637 ),
    inference(avatar_split_clause,[],[f1476,f5636,f3479,f3471,f6049]) ).

fof(f1476,plain,
    ( e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e1 != op(e3,e2) ),
    inference(cnf_transformation,[],[f753]) ).

fof(f753,plain,
    ( e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,e2)
    | e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,e2),op(e3,e2)) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ~ ( e1 = op(e3,e2)
      & e4 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e5 = op(op(e3,e2),op(e3,e2))
      & e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f6089,plain,
    ( ~ spl0_680
    | ~ spl0_326
    | ~ spl0_472
    | ~ spl0_639 ),
    inference(avatar_split_clause,[],[f2651,f5645,f4839,f4154,f5862]) ).

fof(f2651,plain,
    ( e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(e4,e2)
    | e3 != op(op(e4,e2),op(e4,e2))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(cnf_transformation,[],[f1173]) ).

fof(f1173,plain,
    ( e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(e4,e2)
    | e3 != op(op(e4,e2),op(e4,e2))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,axiom,
    ~ ( e3 = op(op(e4,e2),op(e4,e2))
      & e5 = op(e4,e2)
      & e0 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).

fof(f6088,plain,
    ~ spl0_721,
    inference(avatar_split_clause,[],[f2453,f6085]) ).

fof(f6085,plain,
    ( spl0_721
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).

fof(f2453,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f10]) ).

fof(f6083,plain,
    spl0_720,
    inference(avatar_split_clause,[],[f2179,f6080]) ).

fof(f6080,plain,
    ( spl0_720
  <=> op(op(e0,e3),e3) = op(e0,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).

fof(f2179,plain,
    op(op(e0,e3),e3) = op(e0,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6078,plain,
    ( ~ spl0_396
    | ~ spl0_308
    | ~ spl0_397
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f2586,f4417,f4483,f4068,f4479]) ).

fof(f2586,plain,
    ( e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,e3),op(e2,e3))
    | e1 != op(e2,e3)
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f924]) ).

fof(f924,plain,
    ( e1 != op(e2,e3)
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f79]) ).

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

fof(f6077,plain,
    ( ~ spl0_718
    | ~ spl0_375
    | ~ spl0_29
    | ~ spl0_719 ),
    inference(avatar_split_clause,[],[f2551,f6074,f2829,f4378,f6070]) ).

fof(f2551,plain,
    ( e1 != op(op(e3,e4),op(e3,e4))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e5 != op(e3,e4)
    | e2 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(cnf_transformation,[],[f1102]) ).

fof(f1102,plain,
    ( e2 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,e4) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e5 = op(e3,e4)
      & e2 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e1 = op(op(e3,e4),op(e3,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

fof(f6068,plain,
    ( ~ spl0_317
    | ~ spl0_459
    | ~ spl0_15
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f2060,f3914,f2768,f4777,f4110]) ).

fof(f2060,plain,
    ( e5 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0)
    | e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f1241]) ).

fof(f1241,plain,
    ( e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(e3,e0)
    | e5 != op(op(e3,e0),op(e3,e0))
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(ennf_transformation,[],[f265]) ).

fof(f265,axiom,
    ~ ( e4 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e1 = op(e3,e0)
      & e5 = op(op(e3,e0),op(e3,e0))
      & e2 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax265) ).

fof(f6067,plain,
    ( ~ spl0_38
    | spl0_37 ),
    inference(avatar_split_clause,[],[f1676,f2864,f2868]) ).

fof(f2868,plain,
    ( spl0_38
  <=> e4 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1676,plain,
    ( e3 = inv(e4)
    | e4 != inv(e3) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6066,plain,
    ~ spl0_717,
    inference(avatar_split_clause,[],[f1940,f6063]) ).

fof(f6063,plain,
    ( spl0_717
  <=> op(e5,e2) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).

fof(f1940,plain,
    op(e5,e2) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6061,plain,
    spl0_716,
    inference(avatar_split_clause,[],[f2237,f6058]) ).

fof(f6058,plain,
    ( spl0_716
  <=> op(op(e2,e4),e4) = op(e2,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).

fof(f2237,plain,
    op(op(e2,e4),e4) = op(e2,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6056,plain,
    ( spl0_713
    | spl0_364
    | spl0_174
    | spl0_714
    | spl0_715
    | spl0_332 ),
    inference(avatar_split_clause,[],[f1750,f4180,f6053,f6049,f3467,f4328,f6045]) ).

fof(f6045,plain,
    ( spl0_713
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).

fof(f6053,plain,
    ( spl0_715
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).

fof(f1750,plain,
    ( e0 = op(e3,e2)
    | e2 = op(e3,e2)
    | e1 = op(e3,e2)
    | e4 = op(e3,e2)
    | e5 = op(e3,e2)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f6043,plain,
    ( ~ spl0_216
    | ~ spl0_71
    | ~ spl0_70
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2366,f3654,f3009,f3013,f3650]) ).

fof(f2366,plain,
    ( e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,e0)
    | e4 != op(op(e2,e0),op(e2,e0))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f1213]) ).

fof(f1213,plain,
    ( e3 != op(e2,e0)
    | e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e4 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f153,axiom,
    ~ ( e5 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e4 = op(op(e2,e0),op(e2,e0))
      & e1 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e3 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).

fof(f6042,plain,
    spl0_712,
    inference(avatar_split_clause,[],[f2138,f6039]) ).

fof(f6039,plain,
    ( spl0_712
  <=> op(op(e2,e0),e5) = op(e2,op(e0,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).

fof(f2138,plain,
    op(op(e2,e0),e5) = op(e2,op(e0,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f6037,plain,
    ~ spl0_711,
    inference(avatar_split_clause,[],[f2004,f6034]) ).

fof(f6034,plain,
    ( spl0_711
  <=> op(e0,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).

fof(f2004,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6032,plain,
    ( ~ spl0_72
    | ~ spl0_439
    | ~ spl0_438
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2647,f3238,f4677,f4681,f3018]) ).

fof(f2647,plain,
    ( e2 != op(op(e1,e4),op(e1,e4))
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(e1,e4)
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(cnf_transformation,[],[f1145]) ).

fof(f1145,plain,
    ( e3 != op(e1,e4)
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e2 != op(op(e1,e4),op(e1,e4))
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(ennf_transformation,[],[f713]) ).

fof(f713,axiom,
    ~ ( e2 = op(op(e1,e4),op(e1,e4))
      & e3 = op(e1,e4)
      & e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e0 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax713) ).

fof(f6031,plain,
    ~ spl0_710,
    inference(avatar_split_clause,[],[f1961,f6028]) ).

fof(f6028,plain,
    ( spl0_710
  <=> op(e1,e5) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).

fof(f1961,plain,
    op(e1,e5) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f6026,plain,
    ~ spl0_709,
    inference(avatar_split_clause,[],[f2442,f6023]) ).

fof(f6023,plain,
    ( spl0_709
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).

fof(f2442,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f10]) ).

fof(f6021,plain,
    ( ~ spl0_708
    | ~ spl0_590
    | ~ spl0_253
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f2068,f5409,f3820,f5405,f6018]) ).

fof(f2068,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e5 != op(e1,e0)
    | e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f836]) ).

fof(f836,plain,
    ( e3 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(op(e1,e0),op(e1,e0))
    | e5 != op(e1,e0)
    | e4 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f389]) ).

fof(f389,axiom,
    ~ ( e2 = op(op(e1,e0),op(e1,e0))
      & e3 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e4 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e5 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax389) ).

fof(f6016,plain,
    ~ spl0_707,
    inference(avatar_split_clause,[],[f1880,f6013]) ).

fof(f6013,plain,
    ( spl0_707
  <=> op(e1,e4) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).

fof(f1880,plain,
    op(e1,e4) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f6011,plain,
    ( spl0_696
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f1680,f3544,f5953]) ).

fof(f3544,plain,
    ( spl0_192
  <=> e0 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f1680,plain,
    ( e0 != inv(e3)
    | e3 = inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f6010,plain,
    ( ~ spl0_108
    | ~ spl0_365
    | ~ spl0_265
    | ~ spl0_670 ),
    inference(avatar_split_clause,[],[f2079,f5807,f3872,f4333,f3173]) ).

fof(f2079,plain,
    ( e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,e4),op(e5,e4))
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(e5,e4) ),
    inference(cnf_transformation,[],[f998]) ).

fof(f998,plain,
    ( e0 != op(op(e5,e4),op(e5,e4))
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(e5,e4) ),
    inference(ennf_transformation,[],[f338]) ).

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

fof(f6009,plain,
    ( ~ spl0_589
    | ~ spl0_213
    | ~ spl0_153
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1546,f3056,f3374,f3637,f5399]) ).

fof(f3056,plain,
    ( spl0_81
  <=> e3 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1546,plain,
    ( e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(e0,e4)
    | e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1028]) ).

fof(f1028,plain,
    ( e1 != op(e0,e4)
    | e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f465]) ).

fof(f465,axiom,
    ~ ( e1 = op(e0,e4)
      & e3 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e2 = op(op(e0,e4),op(e0,e4))
      & e5 = op(e0,op(op(e0,e4),op(e0,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax465) ).

fof(f6008,plain,
    ~ spl0_706,
    inference(avatar_split_clause,[],[f1930,f6005]) ).

fof(f6005,plain,
    ( spl0_706
  <=> op(e3,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).

fof(f1930,plain,
    op(e3,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f6003,plain,
    ( ~ spl0_695
    | ~ spl0_332
    | ~ spl0_362
    | ~ spl0_541 ),
    inference(avatar_split_clause,[],[f2408,f5164,f4320,f4180,f5947]) ).

fof(f2408,plain,
    ( e1 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f1150]) ).

fof(f1150,plain,
    ( e0 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(ennf_transformation,[],[f558]) ).

fof(f558,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,e2)
      & e1 = op(op(e3,e2),op(e3,e2))
      & e5 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax558) ).

fof(f6002,plain,
    ( ~ spl0_352
    | ~ spl0_400
    | ~ spl0_705
    | ~ spl0_398 ),
    inference(avatar_split_clause,[],[f2688,f4488,f5999,f4496,f4273]) ).

fof(f2688,plain,
    ( e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e5 != op(e4,e1)
    | e0 != op(op(e4,e1),op(e4,e1))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(cnf_transformation,[],[f1441]) ).

fof(f1441,plain,
    ( e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e5 != op(e4,e1)
    | e0 != op(op(e4,e1),op(e4,e1))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1)))) ),
    inference(ennf_transformation,[],[f406]) ).

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

fof(f5997,plain,
    ( ~ spl0_472
    | ~ spl0_703
    | ~ spl0_704
    | ~ spl0_680 ),
    inference(avatar_split_clause,[],[f1495,f5862,f5994,f5990,f4839]) ).

fof(f1495,plain,
    ( e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(op(e4,e2),op(e4,e2))
    | e5 != op(e4,e2) ),
    inference(cnf_transformation,[],[f1158]) ).

fof(f1158,plain,
    ( e5 != op(e4,e2)
    | e1 != op(op(e4,e2),op(e4,e2))
    | e3 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f424]) ).

fof(f424,axiom,
    ~ ( e3 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e0 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(e4,e2)
      & e1 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax424) ).

fof(f5988,plain,
    spl0_702,
    inference(avatar_split_clause,[],[f2318,f5985]) ).

fof(f5985,plain,
    ( spl0_702
  <=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).

fof(f2318,plain,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5983,plain,
    ( ~ spl0_70
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2331,f3654,f2924,f2912,f3009]) ).

fof(f2331,plain,
    ( e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(e2,e0) ),
    inference(cnf_transformation,[],[f1445]) ).

fof(f1445,plain,
    ( e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,e0)
    | e5 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f147,axiom,
    ~ ( e3 = op(e2,e0)
      & e4 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e1 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e5 = op(op(e2,e0),op(e2,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).

fof(f5982,plain,
    ( ~ spl0_31
    | ~ spl0_28
    | ~ spl0_642
    | ~ spl0_641 ),
    inference(avatar_split_clause,[],[f2334,f5657,f5661,f2825,f2837]) ).

fof(f2334,plain,
    ( e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,e4)
    | e5 != op(op(e3,e4),op(e3,e4)) ),
    inference(cnf_transformation,[],[f1182]) ).

fof(f1182,plain,
    ( e2 != op(e3,e4)
    | e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f205]) ).

fof(f205,axiom,
    ~ ( e0 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e5 = op(op(e3,e4),op(e3,e4))
      & e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e2 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax205) ).

fof(f5981,plain,
    ( ~ spl0_632
    | ~ spl0_700
    | ~ spl0_701
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f2608,f4141,f5978,f5974,f5615]) ).

fof(f2608,plain,
    ( e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e1 != op(op(e5,e0),op(e5,e0))
    | e3 != op(e5,e0) ),
    inference(cnf_transformation,[],[f752]) ).

fof(f752,plain,
    ( e1 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,e0) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,axiom,
    ~ ( e3 = op(e5,e0)
      & e4 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e1 = op(op(e5,e0),op(e5,e0))
      & e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax266) ).

fof(f5972,plain,
    ~ spl0_699,
    inference(avatar_split_clause,[],[f2042,f5969]) ).

fof(f5969,plain,
    ( spl0_699
  <=> op(e0,e0) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).

fof(f2042,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5967,plain,
    ~ spl0_698,
    inference(avatar_split_clause,[],[f1968,f5964]) ).

fof(f5964,plain,
    ( spl0_698
  <=> op(e2,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).

fof(f1968,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5962,plain,
    ~ spl0_697,
    inference(avatar_split_clause,[],[f1918,f5959]) ).

fof(f5959,plain,
    ( spl0_697
  <=> op(e0,e3) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).

fof(f1918,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5957,plain,
    ( ~ spl0_46
    | ~ spl0_120
    | ~ spl0_231
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1532,f2895,f3719,f3225,f2903]) ).

fof(f1532,plain,
    ( e4 != op(op(e1,e5),op(e1,e5))
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e2 != op(e1,e5) ),
    inference(cnf_transformation,[],[f782]) ).

fof(f782,plain,
    ( e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e4 != op(op(e1,e5),op(e1,e5))
    | e2 != op(e1,e5)
    | e3 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,axiom,
    ~ ( e2 = op(e1,e5)
      & e4 = op(op(e1,e5),op(e1,e5))
      & e3 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e0 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).

fof(f5956,plain,
    ( spl0_192
    | ~ spl0_696 ),
    inference(avatar_split_clause,[],[f1687,f5953,f3544]) ).

fof(f1687,plain,
    ( e3 != inv(e0)
    | e0 = inv(e3) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f5951,plain,
    ( ~ spl0_638
    | ~ spl0_257
    | ~ spl0_256
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f1790,f4158,f3834,f3838,f5641]) ).

fof(f1790,plain,
    ( e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e1 != op(e4,e2)
    | e0 != op(op(e4,e2),op(e4,e2)) ),
    inference(cnf_transformation,[],[f767]) ).

fof(f767,plain,
    ( e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e1 != op(e4,e2)
    | e0 != op(op(e4,e2),op(e4,e2))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f674]) ).

fof(f674,axiom,
    ~ ( e1 = op(e4,e2)
      & e0 = op(op(e4,e2),op(e4,e2))
      & e3 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax674) ).

fof(f5950,plain,
    ( ~ spl0_615
    | ~ spl0_332
    | ~ spl0_695
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f2517,f4176,f5947,f4180,f5531]) ).

fof(f2517,plain,
    ( e4 != op(op(e3,e2),op(e3,e2))
    | e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(e3,e2)
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(cnf_transformation,[],[f746]) ).

fof(f746,plain,
    ( e0 != op(e3,e2)
    | e5 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,e2),op(e3,e2))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(ennf_transformation,[],[f175]) ).

fof(f175,axiom,
    ~ ( e4 = op(op(e3,e2),op(e3,e2))
      & e0 = op(e3,e2)
      & e5 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax175) ).

fof(f5945,plain,
    ~ spl0_694,
    inference(avatar_split_clause,[],[f2037,f5942]) ).

fof(f5942,plain,
    ( spl0_694
  <=> op(e1,e2) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).

fof(f2037,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5940,plain,
    ( ~ spl0_73
    | ~ spl0_125
    | ~ spl0_271
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f1496,f5178,f3900,f3246,f3022]) ).

fof(f1496,plain,
    ( e0 != op(op(e1,e4),op(e1,e4))
    | e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,e4)
    | e2 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f802]) ).

fof(f802,plain,
    ( e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,e4),op(e1,e4))
    | e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,e4) ),
    inference(ennf_transformation,[],[f460]) ).

fof(f460,axiom,
    ~ ( e0 = op(op(e1,e4),op(e1,e4))
      & e3 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e2 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e5 = op(e1,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax460) ).

fof(f5939,plain,
    ( ~ spl0_126
    | ~ spl0_440
    | ~ spl0_463
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2471,f3242,f4797,f4685,f3250]) ).

fof(f2471,plain,
    ( e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e2 != op(e1,e4)
    | e5 != op(op(e1,e4),op(e1,e4))
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(cnf_transformation,[],[f1034]) ).

fof(f1034,plain,
    ( e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(e1,e4)
    | e5 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,axiom,
    ~ ( e5 = op(op(e1,e4),op(e1,e4))
      & e3 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e2 = op(e1,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).

fof(f5938,plain,
    ~ spl0_693,
    inference(avatar_split_clause,[],[f2024,f5935]) ).

fof(f5935,plain,
    ( spl0_693
  <=> op(e3,e1) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).

fof(f2024,plain,
    op(e3,e1) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5933,plain,
    spl0_692,
    inference(avatar_split_clause,[],[f2225,f5930]) ).

fof(f5930,plain,
    ( spl0_692
  <=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).

fof(f2225,plain,
    op(op(e2,e3),e2) = op(e2,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5928,plain,
    spl0_691,
    inference(avatar_split_clause,[],[f2147,f5925]) ).

fof(f5925,plain,
    ( spl0_691
  <=> op(op(e5,e1),e2) = op(e5,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).

fof(f2147,plain,
    op(op(e5,e1),e2) = op(e5,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5923,plain,
    ( ~ spl0_180
    | ~ spl0_598
    | ~ spl0_261
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2425,f3484,f3855,f5445,f3492]) ).

fof(f2425,plain,
    ( e3 != op(op(e2,e4),op(e2,e4))
    | e1 != op(e2,e4)
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e0 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f891]) ).

fof(f891,plain,
    ( e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e1 != op(e2,e4)
    | e3 != op(op(e2,e4),op(e2,e4))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(ennf_transformation,[],[f709]) ).

fof(f709,axiom,
    ~ ( e0 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e1 = op(e2,e4)
      & e3 = op(op(e2,e4),op(e2,e4))
      & e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax709) ).

fof(f5922,plain,
    ( ~ spl0_690
    | ~ spl0_246
    | ~ spl0_494
    | ~ spl0_617 ),
    inference(avatar_split_clause,[],[f2435,f5540,f4939,f3789,f5919]) ).

fof(f2435,plain,
    ( e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(e0,e3)
    | e2 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f1391]) ).

fof(f1391,plain,
    ( e1 != op(e0,e3)
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e2 != op(op(e0,e3),op(e0,e3)) ),
    inference(ennf_transformation,[],[f585]) ).

fof(f585,axiom,
    ~ ( e1 = op(e0,e3)
      & e2 = op(op(e0,e3),op(e0,e3))
      & e4 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e5 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax585) ).

fof(f5917,plain,
    ( ~ spl0_451
    | ~ spl0_14
    | ~ spl0_209
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f2625,f4310,f3619,f2764,f4738]) ).

fof(f2625,plain,
    ( e4 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(e3,e0)
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f856]) ).

fof(f856,plain,
    ( e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(e3,e0)
    | e4 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f137,axiom,
    ~ ( e5 = op(e3,e0)
      & e4 = op(op(e3,e0),op(e3,e0))
      & e2 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).

fof(f5916,plain,
    ( ~ spl0_689
    | ~ spl0_291
    | ~ spl0_173
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f1827,f4546,f3462,f3993,f5913]) ).

fof(f1827,plain,
    ( e1 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,e3)
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(cnf_transformation,[],[f789]) ).

fof(f789,plain,
    ( e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(e5,e3) ),
    inference(ennf_transformation,[],[f576]) ).

fof(f576,axiom,
    ~ ( e1 = op(op(e5,e3),op(e5,e3))
      & e0 = op(e5,e3)
      & e2 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax576) ).

fof(f5911,plain,
    ( ~ spl0_325
    | ~ spl0_258
    | ~ spl0_474
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f1540,f3830,f4847,f3842,f4150]) ).

fof(f1540,plain,
    ( e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(e4,e2)
    | e5 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(cnf_transformation,[],[f1114]) ).

fof(f1114,plain,
    ( e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(op(e4,e2),op(e4,e2))
    | e3 != op(e4,e2)
    | e1 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f37]) ).

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

fof(f5910,plain,
    spl0_688,
    inference(avatar_split_clause,[],[f2195,f5907]) ).

fof(f5907,plain,
    ( spl0_688
  <=> op(op(e4,e1),e5) = op(e4,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).

fof(f2195,plain,
    op(op(e4,e1),e5) = op(e4,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5905,plain,
    ( ~ spl0_63
    | ~ spl0_664
    | ~ spl0_547
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f1661,f5201,f5193,f5777,f2977]) ).

fof(f1661,plain,
    ( e0 != op(op(e4,e3),op(e4,e3))
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(e4,e3)
    | e5 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f784]) ).

fof(f784,plain,
    ( e2 != op(e4,e3)
    | e0 != op(op(e4,e3),op(e4,e3))
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(ennf_transformation,[],[f200]) ).

fof(f200,axiom,
    ~ ( e0 = op(op(e4,e3),op(e4,e3))
      & e2 = op(e4,e3)
      & e5 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax200) ).

fof(f5904,plain,
    ( ~ spl0_643
    | ~ spl0_468
    | ~ spl0_686
    | ~ spl0_687 ),
    inference(avatar_split_clause,[],[f1570,f5901,f5897,f4822,f5666]) ).

fof(f1570,plain,
    ( e4 != op(op(e0,e2),op(e0,e2))
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(e0,e2)
    | e3 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(cnf_transformation,[],[f1330]) ).

fof(f1330,plain,
    ( e1 != op(e0,e2)
    | e5 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(op(e0,e2),op(e0,e2)) ),
    inference(ennf_transformation,[],[f675]) ).

fof(f675,axiom,
    ~ ( e1 = op(e0,e2)
      & e4 = op(op(e0,e2),op(e0,e2))
      & e3 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e5 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax675) ).

fof(f5895,plain,
    spl0_685,
    inference(avatar_split_clause,[],[f2306,f5892]) ).

fof(f5892,plain,
    ( spl0_685
  <=> op(op(e5,e2),e5) = op(e5,op(e2,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).

fof(f2306,plain,
    op(op(e5,e2),e5) = op(e5,op(e2,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5890,plain,
    ( ~ spl0_575
    | ~ spl0_205
    | ~ spl0_206
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2422,f3199,f3606,f3602,f5329]) ).

fof(f2422,plain,
    ( e2 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1322]) ).

fof(f1322,plain,
    ( e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(e5,e1)
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,e1),op(e5,e1)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e3 = op(e5,e1)
      & e2 = op(op(e5,e1),op(e5,e1))
      & e4 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e0 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f5889,plain,
    ( ~ spl0_517
    | ~ spl0_406
    | ~ spl0_552
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f1553,f3971,f5214,f4524,f5047]) ).

fof(f1553,plain,
    ( e0 != op(e1,e2)
    | e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(op(e1,e2),op(e1,e2)) ),
    inference(cnf_transformation,[],[f1297]) ).

fof(f1297,plain,
    ( e0 != op(e1,e2)
    | e5 != op(op(e1,e2),op(e1,e2))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f553]) ).

fof(f553,axiom,
    ~ ( e5 = op(op(e1,e2),op(e1,e2))
      & e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e3 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e0 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax553) ).

fof(f5888,plain,
    ( ~ spl0_81
    | ~ spl0_215
    | ~ spl0_213
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2659,f3048,f3637,f3645,f3056]) ).

fof(f2659,plain,
    ( e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,e4)
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(cnf_transformation,[],[f1119]) ).

fof(f1119,plain,
    ( e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,e4) ),
    inference(ennf_transformation,[],[f455]) ).

fof(f455,axiom,
    ~ ( e5 = op(e0,e4)
      & e2 = op(op(e0,e4),op(e0,e4))
      & e1 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e3 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax455) ).

fof(f5887,plain,
    spl0_684,
    inference(avatar_split_clause,[],[f2246,f5884]) ).

fof(f5884,plain,
    ( spl0_684
  <=> op(op(e4,e3),e2) = op(e4,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).

fof(f2246,plain,
    op(op(e4,e3),e2) = op(e4,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5882,plain,
    spl0_683,
    inference(avatar_split_clause,[],[f2153,f5879]) ).

fof(f5879,plain,
    ( spl0_683
  <=> op(op(e2,e0),e2) = op(e2,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).

fof(f2153,plain,
    op(op(e2,e0),e2) = op(e2,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5877,plain,
    ( ~ spl0_416
    | ~ spl0_500
    | ~ spl0_263
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1781,f3173,f3864,f4968,f4571]) ).

fof(f1781,plain,
    ( e1 != op(e5,e4)
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(cnf_transformation,[],[f1155]) ).

fof(f1155,plain,
    ( e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,e4)
    | e0 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f444]) ).

fof(f444,axiom,
    ~ ( e2 = op(op(e5,e4),op(e5,e4))
      & e3 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e0 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(e5,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax444) ).

fof(f5876,plain,
    ( ~ spl0_682
    | ~ spl0_381
    | ~ spl0_374
    | ~ spl0_641 ),
    inference(avatar_split_clause,[],[f1464,f5657,f4374,f4407,f5873]) ).

fof(f1464,plain,
    ( e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e1 != op(e3,e4)
    | e2 != op(op(e3,e4),op(e3,e4))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    inference(cnf_transformation,[],[f775]) ).

fof(f775,plain,
    ( e1 != op(e3,e4)
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f708]) ).

fof(f708,axiom,
    ~ ( e5 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e2 = op(op(e3,e4),op(e3,e4))
      & e0 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e1 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax708) ).

fof(f5871,plain,
    ~ spl0_681,
    inference(avatar_split_clause,[],[f1869,f5868]) ).

fof(f5868,plain,
    ( spl0_681
  <=> op(e0,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).

fof(f1869,plain,
    op(e0,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5866,plain,
    ( ~ spl0_605
    | ~ spl0_200
    | ~ spl0_161
    | ~ spl0_606 ),
    inference(avatar_split_clause,[],[f1710,f5486,f3410,f3579,f5482]) ).

fof(f1710,plain,
    ( e4 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,e1)
    | e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f1203]) ).

fof(f1203,plain,
    ( e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,e1)
    | e4 != op(op(e3,e1),op(e3,e1)) ),
    inference(ennf_transformation,[],[f295]) ).

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

fof(f5865,plain,
    ( ~ spl0_258
    | ~ spl0_680
    | ~ spl0_639
    | ~ spl0_474 ),
    inference(avatar_split_clause,[],[f1586,f4847,f5645,f5862,f3842]) ).

fof(f1586,plain,
    ( e3 != op(e4,e2)
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e5 != op(op(e4,e2),op(e4,e2)) ),
    inference(cnf_transformation,[],[f1185]) ).

fof(f1185,plain,
    ( e3 != op(e4,e2)
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e5 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e3 = op(e4,e2)
      & e5 = op(op(e4,e2),op(e4,e2))
      & e0 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).

fof(f5860,plain,
    ( ~ spl0_552
    | ~ spl0_550
    | ~ spl0_679
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f1454,f3971,f5857,f5206,f5214]) ).

fof(f1454,plain,
    ( e0 != op(e1,e2)
    | e4 != op(op(e1,e2),op(e1,e2))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e3 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f863]) ).

fof(f863,plain,
    ( e4 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,e2)
    | e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f673]) ).

fof(f673,axiom,
    ~ ( e4 = op(op(e1,e2),op(e1,e2))
      & e0 = op(e1,e2)
      & e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e3 = op(e1,op(op(e1,e2),op(e1,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax673) ).

fof(f5855,plain,
    ( ~ spl0_598
    | ~ spl0_678
    | ~ spl0_259
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f2406,f3855,f3847,f5852,f5445]) ).

fof(f2406,plain,
    ( e1 != op(e2,e4)
    | e3 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,e4),op(e2,e4))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f1194]) ).

fof(f1194,plain,
    ( e3 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,e4),op(e2,e4))
    | e1 != op(e2,e4)
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(ennf_transformation,[],[f728]) ).

fof(f728,axiom,
    ~ ( e3 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e0 = op(op(e2,e4),op(e2,e4))
      & e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e1 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax728) ).

fof(f5850,plain,
    ( ~ spl0_666
    | ~ spl0_195
    | ~ spl0_32
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2534,f3802,f2842,f3557,f5787]) ).

fof(f2534,plain,
    ( e0 != op(e2,e5)
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(op(e2,e5),op(e2,e5))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f1324]) ).

fof(f1324,plain,
    ( e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(e2,e5)
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e4 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f241]) ).

fof(f241,axiom,
    ~ ( e0 = op(e2,e5)
      & e3 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e1 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e4 = op(op(e2,e5),op(e2,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax241) ).

fof(f5849,plain,
    spl0_677,
    inference(avatar_split_clause,[],[f1494,f5846]) ).

fof(f5846,plain,
    ( spl0_677
  <=> e2 = inv(inv(e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).

fof(f1494,plain,
    e2 = inv(inv(e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f5844,plain,
    ( ~ spl0_546
    | ~ spl0_146
    | ~ spl0_203
    | ~ spl0_621 ),
    inference(avatar_split_clause,[],[f2367,f5560,f3592,f3342,f5188]) ).

fof(f2367,plain,
    ( e3 != op(e4,e0)
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f1180]) ).

fof(f1180,plain,
    ( e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(e4,e0)
    | e2 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f614]) ).

fof(f614,axiom,
    ~ ( e5 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e1 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(e4,e0)
      & e2 = op(op(e4,e0),op(e4,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax614) ).

fof(f5843,plain,
    spl0_676,
    inference(avatar_split_clause,[],[f2189,f5840]) ).

fof(f5840,plain,
    ( spl0_676
  <=> op(op(e5,e2),e4) = op(e5,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).

fof(f2189,plain,
    op(op(e5,e2),e4) = op(e5,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5838,plain,
    ~ spl0_675,
    inference(avatar_split_clause,[],[f2036,f5835]) ).

fof(f5835,plain,
    ( spl0_675
  <=> op(e4,e0) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).

fof(f2036,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5833,plain,
    ( ~ spl0_408
    | ~ spl0_603
    | ~ spl0_358
    | ~ spl0_448 ),
    inference(avatar_split_clause,[],[f1461,f4724,f4300,f5473,f4533]) ).

fof(f1461,plain,
    ( e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(op(e5,e2),op(e5,e2))
    | e4 != op(e5,e2)
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f1184]) ).

fof(f1184,plain,
    ( e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(op(e5,e2),op(e5,e2))
    | e4 != op(e5,e2)
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ~ ( e4 = op(e5,e2)
      & e3 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(op(e5,e2),op(e5,e2))
      & e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(f5832,plain,
    ( ~ spl0_9
    | ~ spl0_281
    | ~ spl0_12
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2419,f3043,f2755,f3946,f2742]) ).

fof(f2742,plain,
    ( spl0_9
  <=> e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2419,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(e2,e1)
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(cnf_transformation,[],[f1289]) ).

fof(f1289,plain,
    ( e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,e1)
    | e3 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e4 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e3 = op(op(e2,e1),op(e2,e1))
      & e5 = op(e2,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f5831,plain,
    ( ~ spl0_668
    | ~ spl0_545
    | ~ spl0_674
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f1622,f5348,f5828,f5183,f5797]) ).

fof(f1622,plain,
    ( e2 != op(op(e4,e5),op(e4,e5))
    | e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(e4,e5)
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f1054]) ).

fof(f1054,plain,
    ( e2 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,e5)
    | e0 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(ennf_transformation,[],[f468]) ).

fof(f468,axiom,
    ~ ( e2 = op(op(e4,e5),op(e4,e5))
      & e3 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e1 = op(e4,e5)
      & e0 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax468) ).

fof(f5826,plain,
    ( ~ spl0_668
    | ~ spl0_389
    | ~ spl0_387
    | ~ spl0_349 ),
    inference(avatar_split_clause,[],[f2559,f4259,f4437,f4445,f5797]) ).

fof(f2559,plain,
    ( e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(e4,e5)
    | e1 != op(op(e4,e5),op(e4,e5))
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f1392]) ).

fof(f1392,plain,
    ( e1 != op(op(e4,e5),op(e4,e5))
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(e4,e5) ),
    inference(ennf_transformation,[],[f480]) ).

fof(f480,axiom,
    ~ ( e3 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e1 = op(op(e4,e5),op(e4,e5))
      & e0 = op(e4,e5)
      & e2 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax480) ).

fof(f5825,plain,
    ( ~ spl0_202
    | ~ spl0_673
    | ~ spl0_620
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f2672,f5419,f5556,f5822,f3588]) ).

fof(f2672,plain,
    ( e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e3 != op(op(e4,e0),op(e4,e0))
    | e1 != op(e4,e0) ),
    inference(cnf_transformation,[],[f1081]) ).

fof(f1081,plain,
    ( e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,e0)
    | e3 != op(op(e4,e0),op(e4,e0)) ),
    inference(ennf_transformation,[],[f270]) ).

fof(f270,axiom,
    ~ ( e1 = op(e4,e0)
      & e3 = op(op(e4,e0),op(e4,e0))
      & e5 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax270) ).

fof(f5820,plain,
    ~ spl0_672,
    inference(avatar_split_clause,[],[f1962,f5817]) ).

fof(f5817,plain,
    ( spl0_672
  <=> op(e1,e1) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).

fof(f1962,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5815,plain,
    ~ spl0_671,
    inference(avatar_split_clause,[],[f2018,f5812]) ).

fof(f5812,plain,
    ( spl0_671
  <=> op(e2,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).

fof(f2018,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5810,plain,
    ( ~ spl0_108
    | ~ spl0_500
    | ~ spl0_415
    | ~ spl0_670 ),
    inference(avatar_split_clause,[],[f1568,f5807,f4566,f4968,f3173]) ).

fof(f1568,plain,
    ( e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,e4) ),
    inference(cnf_transformation,[],[f1284]) ).

fof(f1284,plain,
    ( e3 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e2 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,e4)
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f5805,plain,
    ~ spl0_669,
    inference(avatar_split_clause,[],[f2046,f5802]) ).

fof(f5802,plain,
    ( spl0_669
  <=> op(e0,e4) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).

fof(f2046,plain,
    op(e0,e4) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5800,plain,
    ( ~ spl0_26
    | ~ spl0_579
    | ~ spl0_668
    | ~ spl0_387 ),
    inference(avatar_split_clause,[],[f2556,f4437,f5797,f5348,f2816]) ).

fof(f2556,plain,
    ( e0 != op(e4,e5)
    | e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1014]) ).

fof(f1014,plain,
    ( e3 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e0 != op(e4,e5)
    | e2 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f474]) ).

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

fof(f5795,plain,
    ( ~ spl0_667
    | ~ spl0_596
    | ~ spl0_324
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2633,f3216,f4145,f5434,f5792]) ).

fof(f2633,plain,
    ( e4 != op(e5,e0)
    | e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,e0),op(e5,e0))
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0)))) ),
    inference(cnf_transformation,[],[f1111]) ).

fof(f1111,plain,
    ( e2 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,e0)
    | e3 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e1 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(ennf_transformation,[],[f374]) ).

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

fof(f5790,plain,
    ( ~ spl0_666
    | ~ spl0_194
    | ~ spl0_443
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f1706,f3557,f4700,f3553,f5787]) ).

fof(f1706,plain,
    ( e4 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,e5)
    | e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f804]) ).

fof(f804,plain,
    ( e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,e5)
    | e1 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(ennf_transformation,[],[f231]) ).

fof(f231,axiom,
    ~ ( e1 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(e2,e5)
      & e4 = op(op(e2,e5),op(e2,e5))
      & e0 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax231) ).

fof(f5785,plain,
    spl0_665,
    inference(avatar_split_clause,[],[f2250,f5782]) ).

fof(f5782,plain,
    ( spl0_665
  <=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).

fof(f2250,plain,
    op(op(e3,e2),e1) = op(e3,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5780,plain,
    ( spl0_57
    | spl0_662
    | spl0_62
    | spl0_663
    | spl0_318
    | spl0_664 ),
    inference(avatar_split_clause,[],[f1726,f5777,f4115,f5773,f2973,f5769,f2951]) ).

fof(f5769,plain,
    ( spl0_662
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).

fof(f5773,plain,
    ( spl0_663
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).

fof(f1726,plain,
    ( e2 = op(e4,e3)
    | e5 = op(e4,e3)
    | e4 = op(e4,e3)
    | e1 = op(e4,e3)
    | e3 = op(e4,e3)
    | e0 = op(e4,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5767,plain,
    ( ~ spl0_45
    | ~ spl0_199
    | ~ spl0_46
    | ~ spl0_337 ),
    inference(avatar_split_clause,[],[f1467,f4205,f2903,f3574,f2899]) ).

fof(f1467,plain,
    ( e3 != op(op(e1,e5),op(e1,e5))
    | e2 != op(e1,e5)
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f1370]) ).

fof(f1370,plain,
    ( e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(op(e1,e5),op(e1,e5))
    | e2 != op(e1,e5) ),
    inference(ennf_transformation,[],[f591]) ).

fof(f591,axiom,
    ~ ( e0 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e3 = op(op(e1,e5),op(e1,e5))
      & e2 = op(e1,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax591) ).

fof(f5766,plain,
    ~ spl0_661,
    inference(avatar_split_clause,[],[f1956,f5763]) ).

fof(f5763,plain,
    ( spl0_661
  <=> op(e3,e2) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).

fof(f1956,plain,
    op(e3,e2) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5761,plain,
    ~ spl0_660,
    inference(avatar_split_clause,[],[f1901,f5758]) ).

fof(f5758,plain,
    ( spl0_660
  <=> op(e1,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).

fof(f1901,plain,
    op(e1,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f5756,plain,
    spl0_659,
    inference(avatar_split_clause,[],[f2229,f5753]) ).

fof(f5753,plain,
    ( spl0_659
  <=> op(op(e5,e3),e2) = op(e5,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).

fof(f2229,plain,
    op(op(e5,e3),e2) = op(e5,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5751,plain,
    ( ~ spl0_442
    | ~ spl0_216
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1767,f3291,f2916,f3650,f4695]) ).

fof(f1767,plain,
    ( e3 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,e0)
    | e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f989]) ).

fof(f989,plain,
    ( e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,e0) ),
    inference(ennf_transformation,[],[f511]) ).

fof(f511,axiom,
    ~ ( e1 = op(e2,e0)
      & e5 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e3 = op(op(e2,e0),op(e2,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax511) ).

fof(f5750,plain,
    ( ~ spl0_590
    | ~ spl0_61
    | ~ spl0_59
    | ~ spl0_658 ),
    inference(avatar_split_clause,[],[f2605,f5747,f2960,f2968,f5405]) ).

fof(f2605,plain,
    ( e2 != op(e1,e0)
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(cnf_transformation,[],[f1042]) ).

fof(f1042,plain,
    ( e3 != op(op(e1,e0),op(e1,e0))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e2 != op(e1,e0) ),
    inference(ennf_transformation,[],[f633]) ).

fof(f633,axiom,
    ~ ( e4 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e5 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e3 = op(op(e1,e0),op(e1,e0))
      & e2 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax633) ).

fof(f5745,plain,
    spl0_657,
    inference(avatar_split_clause,[],[f2223,f5742]) ).

fof(f5742,plain,
    ( spl0_657
  <=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).

fof(f2223,plain,
    op(op(e2,e3),e3) = op(e2,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5740,plain,
    ~ spl0_656,
    inference(avatar_split_clause,[],[f1949,f5737]) ).

fof(f5737,plain,
    ( spl0_656
  <=> op(e1,e0) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).

fof(f1949,plain,
    op(e1,e0) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5735,plain,
    ( ~ spl0_568
    | ~ spl0_61
    | ~ spl0_655
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1612,f2964,f5732,f2968,f5294]) ).

fof(f1612,plain,
    ( e4 != op(e1,e0)
    | e5 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f927]) ).

fof(f927,plain,
    ( e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,e0)
    | e5 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f275]) ).

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

fof(f5730,plain,
    ( ~ spl0_170
    | ~ spl0_515
    | ~ spl0_342
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f2571,f3997,f4227,f5036,f3450]) ).

fof(f2571,plain,
    ( e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(e5,e3)
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e2 != op(op(e5,e3),op(e5,e3)) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f1399,plain,
    ( e2 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(e5,e3)
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,axiom,
    ~ ( e1 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e0 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(e5,e3)
      & e2 = op(op(e5,e3),op(e5,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f5729,plain,
    ( ~ spl0_33
    | ~ spl0_446
    | ~ spl0_32
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f2048,f3802,f2842,f4714,f2846]) ).

fof(f2048,plain,
    ( e0 != op(e2,e5)
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(op(e2,e5),op(e2,e5)) ),
    inference(cnf_transformation,[],[f750]) ).

fof(f750,plain,
    ( e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e0 != op(e2,e5) ),
    inference(ennf_transformation,[],[f606]) ).

fof(f606,axiom,
    ~ ( e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e0 = op(e2,e5)
      & e1 = op(op(e2,e5),op(e2,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax606) ).

fof(f5728,plain,
    ( ~ spl0_21
    | ~ spl0_128
    | ~ spl0_3
    | ~ spl0_616 ),
    inference(avatar_split_clause,[],[f2353,f5536,f2715,f3260,f2794]) ).

fof(f2353,plain,
    ( e5 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f826]) ).

fof(f826,plain,
    ( e2 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,e3),op(e0,e3))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(ennf_transformation,[],[f195]) ).

fof(f195,axiom,
    ~ ( e5 = op(op(e0,e3),op(e0,e3))
      & e2 = op(e0,e3)
      & e4 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e1 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax195) ).

fof(f5727,plain,
    spl0_654,
    inference(avatar_split_clause,[],[f2260,f5724]) ).

fof(f5724,plain,
    ( spl0_654
  <=> op(op(e3,e1),e0) = op(e3,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).

fof(f2260,plain,
    op(op(e3,e1),e0) = op(e3,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5722,plain,
    ~ spl0_653,
    inference(avatar_split_clause,[],[f1932,f5719]) ).

fof(f5719,plain,
    ( spl0_653
  <=> op(e2,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).

fof(f1932,plain,
    op(e2,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5717,plain,
    ( ~ spl0_237
    | ~ spl0_652
    | ~ spl0_239
    | ~ spl0_643 ),
    inference(avatar_split_clause,[],[f1789,f5666,f3757,f5714,f3749]) ).

fof(f1789,plain,
    ( e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(e0,e2)
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1303]) ).

fof(f1303,plain,
    ( e1 != op(op(e0,e2),op(e0,e2))
    | e4 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(e0,e2) ),
    inference(ennf_transformation,[],[f557]) ).

fof(f557,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e3 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e5 = op(e0,e2)
      & e1 = op(op(e0,e2),op(e0,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax557) ).

fof(f5712,plain,
    ~ spl0_651,
    inference(avatar_split_clause,[],[f2033,f5709]) ).

fof(f5709,plain,
    ( spl0_651
  <=> op(e0,e3) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).

fof(f2033,plain,
    op(e0,e3) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5707,plain,
    spl0_650,
    inference(avatar_split_clause,[],[f2227,f5704]) ).

fof(f5704,plain,
    ( spl0_650
  <=> op(op(e4,e2),e3) = op(e4,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).

fof(f2227,plain,
    op(op(e4,e2),e3) = op(e4,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5702,plain,
    spl0_649,
    inference(avatar_split_clause,[],[f2228,f5699]) ).

fof(f5699,plain,
    ( spl0_649
  <=> op(op(e4,e0),e3) = op(e4,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).

fof(f2228,plain,
    op(op(e4,e0),e3) = op(e4,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5697,plain,
    ( ~ spl0_9
    | ~ spl0_250
    | ~ spl0_8
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1569,f3043,f2738,f3807,f2742]) ).

fof(f1569,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1)
    | e5 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(cnf_transformation,[],[f1267]) ).

fof(f1267,plain,
    ( e4 != op(e2,e1)
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(op(e2,e1),op(e2,e1))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ~ ( e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e5 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e4 = op(e2,e1)
      & e3 = op(op(e2,e1),op(e2,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f5696,plain,
    spl0_648,
    inference(avatar_split_clause,[],[f2263,f5693]) ).

fof(f5693,plain,
    ( spl0_648
  <=> op(op(e5,e4),e3) = op(e5,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).

fof(f2263,plain,
    op(op(e5,e4),e3) = op(e5,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5691,plain,
    spl0_647,
    inference(avatar_split_clause,[],[f2293,f5688]) ).

fof(f5688,plain,
    ( spl0_647
  <=> op(op(e0,e1),e0) = op(e0,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).

fof(f2293,plain,
    op(op(e0,e1),e0) = op(e0,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5686,plain,
    ( ~ spl0_646
    | ~ spl0_58
    | ~ spl0_59
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2057,f3286,f2960,f2956,f5683]) ).

fof(f2057,plain,
    ( e3 != op(e1,e0)
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f1388]) ).

fof(f1388,plain,
    ( e3 != op(e1,e0)
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,e0),op(e1,e0))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f621]) ).

fof(f621,axiom,
    ~ ( e3 = op(e1,e0)
      & e4 = op(op(e1,e0),op(e1,e0))
      & e5 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e2 = op(e1,op(op(e1,e0),op(e1,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax621) ).

fof(f5681,plain,
    ( ~ spl0_251
    | ~ spl0_77
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1840,f2738,f2746,f3039,f3811]) ).

fof(f1840,plain,
    ( e4 != op(e2,e1)
    | e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f1279]) ).

fof(f1279,plain,
    ( e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,e1)
    | e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f652]) ).

fof(f652,axiom,
    ~ ( e0 = op(op(e2,e1),op(e2,e1))
      & e5 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e4 = op(e2,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax652) ).

fof(f5680,plain,
    ~ spl0_645,
    inference(avatar_split_clause,[],[f2035,f5677]) ).

fof(f5677,plain,
    ( spl0_645
  <=> op(e0,e0) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).

fof(f2035,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5675,plain,
    ( ~ spl0_443
    | ~ spl0_446
    | ~ spl0_539
    | ~ spl0_229 ),
    inference(avatar_split_clause,[],[f1520,f3710,f5154,f4714,f4700]) ).

fof(f1520,plain,
    ( e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5))
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,e5) ),
    inference(cnf_transformation,[],[f1090]) ).

fof(f1090,plain,
    ( e3 != op(e2,e5)
    | e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(op(e2,e5),op(e2,e5))
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(ennf_transformation,[],[f598]) ).

fof(f598,axiom,
    ~ ( e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e1 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e0 = op(op(e2,e5),op(e2,e5))
      & e3 = op(e2,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax598) ).

fof(f5674,plain,
    ( ~ spl0_216
    | ~ spl0_50
    | ~ spl0_136
    | ~ spl0_644 ),
    inference(avatar_split_clause,[],[f2424,f5671,f3295,f2920,f3650]) ).

fof(f2424,plain,
    ( e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,e0)
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f740]) ).

fof(f740,plain,
    ( e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e1 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,e0) ),
    inference(ennf_transformation,[],[f394]) ).

fof(f394,axiom,
    ~ ( e4 = op(e2,e0)
      & e1 = op(op(e2,e0),op(e2,e0))
      & e5 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax394) ).

fof(f5669,plain,
    ( ~ spl0_419
    | ~ spl0_421
    | ~ spl0_467
    | ~ spl0_643 ),
    inference(avatar_split_clause,[],[f2437,f5666,f4818,f4593,f4585]) ).

fof(f2437,plain,
    ( e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e4 != op(e0,e2)
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e5 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1118]) ).

fof(f1118,plain,
    ( e4 != op(e0,e2)
    | e5 != op(op(e0,e2),op(e0,e2))
    | e3 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    inference(ennf_transformation,[],[f165]) ).

fof(f165,axiom,
    ~ ( e1 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
      & e5 = op(op(e0,e2),op(e0,e2))
      & e3 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e4 = op(e0,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).

fof(f5664,plain,
    ( ~ spl0_381
    | ~ spl0_641
    | ~ spl0_375
    | ~ spl0_642 ),
    inference(avatar_split_clause,[],[f2662,f5661,f4378,f5657,f4407]) ).

fof(f2662,plain,
    ( e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e5 != op(e3,e4)
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f1320,plain,
    ( e1 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e0 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(e3,e4)
    | e2 != op(op(e3,e4),op(e3,e4)) ),
    inference(ennf_transformation,[],[f208]) ).

fof(f208,axiom,
    ~ ( e1 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e0 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e2 = op(op(e3,e4),op(e3,e4))
      & e5 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax208) ).

fof(f5655,plain,
    ( ~ spl0_486
    | ~ spl0_103
    | ~ spl0_504
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2380,f3140,f4988,f3152,f4905]) ).

fof(f2380,plain,
    ( e5 != op(e1,e3)
    | e0 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f919]) ).

fof(f919,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3) ),
    inference(ennf_transformation,[],[f316]) ).

fof(f316,axiom,
    ~ ( e4 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e0 = op(op(e1,e3),op(e1,e3))
      & e5 = op(e1,e3)
      & e2 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax316) ).

fof(f5654,plain,
    spl0_640,
    inference(avatar_split_clause,[],[f2144,f5651]) ).

fof(f5651,plain,
    ( spl0_640
  <=> op(op(e5,e4),e2) = op(e5,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).

fof(f2144,plain,
    op(op(e5,e4),e2) = op(e5,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5649,plain,
    ( ~ spl0_98
    | ~ spl0_99
    | ~ spl0_434
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1667,f3426,f4658,f3135,f3131]) ).

fof(f1667,plain,
    ( e5 != op(e3,e1)
    | e2 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f942]) ).

fof(f942,plain,
    ( e5 != op(e3,e1)
    | e2 != op(op(e3,e1),op(e3,e1))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f520]) ).

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

fof(f5648,plain,
    ( ~ spl0_638
    | ~ spl0_256
    | ~ spl0_639
    | ~ spl0_472 ),
    inference(avatar_split_clause,[],[f2511,f4839,f5645,f3834,f5641]) ).

fof(f2511,plain,
    ( e5 != op(e4,e2)
    | e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,e2),op(e4,e2)) ),
    inference(cnf_transformation,[],[f894]) ).

fof(f894,plain,
    ( e1 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e5 != op(e4,e2)
    | e0 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f166]) ).

fof(f166,axiom,
    ~ ( e0 = op(op(e4,e2),op(e4,e2))
      & e5 = op(e4,e2)
      & e1 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e3 = op(e4,op(op(e4,e2),op(e4,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).

fof(f5639,plain,
    ( ~ spl0_637
    | ~ spl0_363
    | ~ spl0_364
    | ~ spl0_615 ),
    inference(avatar_split_clause,[],[f2385,f5531,f4328,f4324,f5636]) ).

fof(f2385,plain,
    ( e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(e3,e2)
    | e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f817]) ).

fof(f817,plain,
    ( e4 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(op(e3,e2),op(e3,e2))
    | e5 != op(e3,e2) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f172,axiom,
    ~ ( e4 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e0 = op(op(e3,e2),op(e3,e2))
      & e5 = op(e3,e2)
      & e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).

fof(f5634,plain,
    ( spl0_632
    | spl0_633
    | spl0_634
    | spl0_635
    | spl0_636
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1738,f3216,f5631,f5627,f5623,f5619,f5615]) ).

fof(f5623,plain,
    ( spl0_634
  <=> e5 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).

fof(f5631,plain,
    ( spl0_636
  <=> e0 = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).

fof(f1738,plain,
    ( e4 = op(e5,e0)
    | e0 = op(e5,e0)
    | e1 = op(e5,e0)
    | e5 = op(e5,e0)
    | e2 = op(e5,e0)
    | e3 = op(e5,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5613,plain,
    ( ~ spl0_154
    | ~ spl0_81
    | ~ spl0_269
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f2498,f3645,f3890,f3056,f3378]) ).

fof(f2498,plain,
    ( e5 != op(e0,e4)
    | e1 != op(op(e0,e4),op(e0,e4))
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f1300]) ).

fof(f1300,plain,
    ( e5 != op(e0,e4)
    | e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f461]) ).

fof(f461,axiom,
    ~ ( e2 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(op(e0,e4),op(e0,e4))
      & e5 = op(e0,e4)
      & e3 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax461) ).

fof(f5612,plain,
    ( spl0_403
    | spl0_630
    | spl0_611
    | spl0_631
    | spl0_226
    | spl0_266 ),
    inference(avatar_split_clause,[],[f1737,f3877,f3697,f5609,f5509,f5605,f4510]) ).

fof(f5605,plain,
    ( spl0_630
  <=> e0 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).

fof(f5609,plain,
    ( spl0_631
  <=> e5 = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).

fof(f1737,plain,
    ( e4 = op(e0,e5)
    | e2 = op(e0,e5)
    | e5 = op(e0,e5)
    | e1 = op(e0,e5)
    | e0 = op(e0,e5)
    | e3 = op(e0,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f5603,plain,
    spl0_629,
    inference(avatar_split_clause,[],[f2208,f5600]) ).

fof(f5600,plain,
    ( spl0_629
  <=> op(op(e1,e5),e1) = op(e1,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).

fof(f2208,plain,
    op(op(e1,e5),e1) = op(e1,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5598,plain,
    ( ~ spl0_626
    | ~ spl0_627
    | ~ spl0_536
    | ~ spl0_628 ),
    inference(avatar_split_clause,[],[f1716,f5595,f5140,f5591,f5587]) ).

fof(f1716,plain,
    ( e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e4 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1)
    | e5 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(cnf_transformation,[],[f902]) ).

fof(f902,plain,
    ( e2 != op(e0,e1)
    | e5 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,e1),op(e0,e1))
    | e3 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(ennf_transformation,[],[f417]) ).

fof(f417,axiom,
    ~ ( e3 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e5 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e4 = op(op(e0,e1),op(e0,e1))
      & e2 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax417) ).

fof(f5585,plain,
    ~ spl0_625,
    inference(avatar_split_clause,[],[f1924,f5582]) ).

fof(f5582,plain,
    ( spl0_625
  <=> op(e5,e0) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).

fof(f1924,plain,
    op(e5,e0) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5580,plain,
    spl0_624,
    inference(avatar_split_clause,[],[f2159,f5577]) ).

fof(f5577,plain,
    ( spl0_624
  <=> op(op(e5,e0),e3) = op(e5,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).

fof(f2159,plain,
    op(op(e5,e0),e3) = op(e5,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5575,plain,
    ( ~ spl0_142
    | ~ spl0_455
    | ~ spl0_304
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f2111,f4580,f4051,f4757,f3325]) ).

fof(f2111,plain,
    ( e2 != op(e3,e5)
    | e0 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(cnf_transformation,[],[f1179]) ).

fof(f1179,plain,
    ( e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e2 != op(e3,e5)
    | e0 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f248]) ).

fof(f248,axiom,
    ~ ( e0 = op(op(e3,e5),op(e3,e5))
      & e2 = op(e3,e5)
      & e4 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax248) ).

fof(f5574,plain,
    spl0_623,
    inference(avatar_split_clause,[],[f2206,f5571]) ).

fof(f5571,plain,
    ( spl0_623
  <=> op(op(e3,e0),e1) = op(e3,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).

fof(f2206,plain,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5569,plain,
    ( ~ spl0_505
    | ~ spl0_487
    | ~ spl0_372
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1647,f3144,f4364,f4909,f4992]) ).

fof(f1647,plain,
    ( e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e4 != op(e1,e3)
    | e5 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(cnf_transformation,[],[f1334]) ).

fof(f1334,plain,
    ( e5 != op(op(e1,e3),op(e1,e3))
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e4 != op(e1,e3)
    | e2 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ~ ( e2 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e5 = op(op(e1,e3),op(e1,e3))
      & e4 = op(e1,e3)
      & e0 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f5568,plain,
    ~ spl0_622,
    inference(avatar_split_clause,[],[f2023,f5565]) ).

fof(f5565,plain,
    ( spl0_622
  <=> op(e2,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).

fof(f2023,plain,
    op(e2,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5563,plain,
    ( ~ spl0_185
    | ~ spl0_620
    | ~ spl0_593
    | ~ spl0_621 ),
    inference(avatar_split_clause,[],[f2510,f5560,f5419,f5556,f3515]) ).

fof(f2510,plain,
    ( e3 != op(e4,e0)
    | e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f1339]) ).

fof(f1339,plain,
    ( e1 != op(op(e4,e0),op(e4,e0))
    | e3 != op(e4,e0)
    | e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f272]) ).

fof(f272,axiom,
    ~ ( e3 = op(e4,e0)
      & e2 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e5 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e1 = op(op(e4,e0),op(e4,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax272) ).

fof(f5554,plain,
    ( ~ spl0_526
    | ~ spl0_598
    | ~ spl0_180
    | ~ spl0_619 ),
    inference(avatar_split_clause,[],[f1701,f5551,f3492,f5445,f5091]) ).

fof(f1701,plain,
    ( e3 != op(e2,e4)
    | e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f1357]) ).

fof(f1357,plain,
    ( e3 != op(e2,e4)
    | e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e1 != op(op(e2,e4),op(e2,e4))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(ennf_transformation,[],[f712]) ).

fof(f712,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e3 = op(e2,e4)
      & e0 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e1 = op(op(e2,e4),op(e2,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax712) ).

fof(f5549,plain,
    ( ~ spl0_267
    | ~ spl0_479
    | ~ spl0_423
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f2550,f5509,f4604,f4871,f3881]) ).

fof(f2550,plain,
    ( e1 != op(e0,e5)
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f1101]) ).

fof(f1101,plain,
    ( e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,e5)
    | e2 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f603]) ).

fof(f603,axiom,
    ~ ( e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e3 = op(op(e0,e5),op(e0,e5))
      & e2 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e1 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax603) ).

fof(f5548,plain,
    spl0_618,
    inference(avatar_split_clause,[],[f2142,f5545]) ).

fof(f5545,plain,
    ( spl0_618
  <=> op(op(e5,e3),e3) = op(e5,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).

fof(f2142,plain,
    op(op(e5,e3),e3) = op(e5,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5543,plain,
    ( ~ spl0_3
    | ~ spl0_616
    | ~ spl0_617
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1824,f2711,f5540,f5536,f2715]) ).

fof(f1824,plain,
    ( e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,e3) ),
    inference(cnf_transformation,[],[f959]) ).

fof(f959,plain,
    ( e2 != op(e0,e3)
    | e5 != op(op(e0,e3),op(e0,e3))
    | e4 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e1 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f573]) ).

fof(f573,axiom,
    ~ ( e1 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e4 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e2 = op(e0,e3)
      & e5 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax573) ).

fof(f5534,plain,
    ( ~ spl0_364
    | ~ spl0_542
    | ~ spl0_615
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f2075,f4176,f5531,f5168,f4328]) ).

fof(f2075,plain,
    ( e4 != op(op(e3,e2),op(e3,e2))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(e3,e2) ),
    inference(cnf_transformation,[],[f833]) ).

fof(f833,plain,
    ( e4 != op(op(e3,e2),op(e3,e2))
    | e1 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(e3,e2)
    | e0 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,axiom,
    ~ ( e5 = op(e3,e2)
      & e1 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e4 = op(op(e3,e2),op(e3,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).

fof(f5529,plain,
    ~ spl0_614,
    inference(avatar_split_clause,[],[f2445,f5526]) ).

fof(f5526,plain,
    ( spl0_614
  <=> e3 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).

fof(f2445,plain,
    e3 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f5524,plain,
    ( ~ spl0_442
    | ~ spl0_135
    | ~ spl0_69
    | ~ spl0_613 ),
    inference(avatar_split_clause,[],[f2492,f5521,f3005,f3291,f4695]) ).

fof(f2492,plain,
    ( e5 != op(e2,e0)
    | e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,e0),op(e2,e0))
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f835]) ).

fof(f835,plain,
    ( e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(e2,e0)
    | e3 != op(op(e2,e0),op(e2,e0))
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(ennf_transformation,[],[f497]) ).

fof(f497,axiom,
    ~ ( e1 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e3 = op(op(e2,e0),op(e2,e0))
      & e5 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax497) ).

fof(f5519,plain,
    ( ~ spl0_603
    | ~ spl0_408
    | ~ spl0_410
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f1784,f5279,f4541,f4533,f5473]) ).

fof(f1784,plain,
    ( e0 != op(op(e5,e2),op(e5,e2))
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(e5,e2) ),
    inference(cnf_transformation,[],[f1352]) ).

fof(f1352,plain,
    ( e4 != op(e5,e2)
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(op(e5,e2),op(e5,e2))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f164]) ).

fof(f164,axiom,
    ~ ( e3 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e4 = op(e5,e2)
      & e1 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e0 = op(op(e5,e2),op(e5,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).

fof(f5518,plain,
    spl0_612,
    inference(avatar_split_clause,[],[f2243,f5515]) ).

fof(f5515,plain,
    ( spl0_612
  <=> op(op(e4,e3),e5) = op(e4,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).

fof(f2243,plain,
    op(op(e4,e3),e5) = op(e4,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5513,plain,
    ( ~ spl0_563
    | ~ spl0_96
    | ~ spl0_606
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2548,f3135,f5486,f3123,f5269]) ).

fof(f2548,plain,
    ( e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1)
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(cnf_transformation,[],[f1156]) ).

fof(f1156,plain,
    ( e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,e1),op(e3,e1))
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(e3,e1) ),
    inference(ennf_transformation,[],[f637]) ).

fof(f637,axiom,
    ~ ( e0 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e4 = op(op(e3,e1),op(e3,e1))
      & e2 = op(e3,e1)
      & e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax637) ).

fof(f5512,plain,
    ( ~ spl0_495
    | ~ spl0_520
    | ~ spl0_427
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f2504,f5509,f4623,f5062,f4944]) ).

fof(f2504,plain,
    ( e1 != op(e0,e5)
    | e4 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f1429]) ).

fof(f1429,plain,
    ( e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,e5) ),
    inference(ennf_transformation,[],[f363]) ).

fof(f363,axiom,
    ~ ( e3 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e4 = op(op(e0,e5),op(e0,e5))
      & e1 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax363) ).

fof(f5507,plain,
    spl0_610,
    inference(avatar_split_clause,[],[f2307,f5504]) ).

fof(f5504,plain,
    ( spl0_610
  <=> op(op(e1,e4),e2) = op(e1,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).

fof(f2307,plain,
    op(op(e1,e4),e2) = op(e1,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5502,plain,
    ( ~ spl0_534
    | ~ spl0_607
    | ~ spl0_608
    | ~ spl0_609 ),
    inference(avatar_split_clause,[],[f2475,f5499,f5495,f5491,f5132]) ).

fof(f2475,plain,
    ( e3 != op(e0,e1)
    | e5 != op(op(e0,e1),op(e0,e1))
    | e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f874]) ).

fof(f874,plain,
    ( e4 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e5 != op(op(e0,e1),op(e0,e1))
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(e0,e1) ),
    inference(ennf_transformation,[],[f291]) ).

fof(f291,axiom,
    ~ ( e5 = op(op(e0,e1),op(e0,e1))
      & e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e3 = op(e0,e1)
      & e4 = op(e0,op(op(e0,e1),op(e0,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax291) ).

fof(f5489,plain,
    ( ~ spl0_165
    | ~ spl0_99
    | ~ spl0_605
    | ~ spl0_606 ),
    inference(avatar_split_clause,[],[f2059,f5486,f5482,f3135,f3426]) ).

fof(f2059,plain,
    ( e4 != op(op(e3,e1),op(e3,e1))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e5 != op(e3,e1) ),
    inference(cnf_transformation,[],[f837]) ).

fof(f837,plain,
    ( e5 != op(e3,e1)
    | e4 != op(op(e3,e1),op(e3,e1))
    | e2 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f281]) ).

fof(f281,axiom,
    ~ ( e0 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e5 = op(e3,e1)
      & e2 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e4 = op(op(e3,e1),op(e3,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax281) ).

fof(f5480,plain,
    ( ~ spl0_603
    | ~ spl0_39
    | ~ spl0_410
    | ~ spl0_604 ),
    inference(avatar_split_clause,[],[f1549,f5477,f4541,f2873,f5473]) ).

fof(f1549,plain,
    ( e3 != op(op(e5,e2),op(e5,e2))
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(e5,e2) ),
    inference(cnf_transformation,[],[f1281]) ).

fof(f1281,plain,
    ( e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(op(e5,e2),op(e5,e2))
    | e4 != op(e5,e2) ),
    inference(ennf_transformation,[],[f158]) ).

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

fof(f5471,plain,
    ( ~ spl0_124
    | ~ spl0_123
    | ~ spl0_72
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1456,f3030,f3018,f3238,f3242]) ).

fof(f1456,plain,
    ( e0 != op(e1,e4)
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f797]) ).

fof(f797,plain,
    ( e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(e1,e4)
    | e2 != op(op(e1,e4),op(e1,e4)) ),
    inference(ennf_transformation,[],[f727]) ).

fof(f727,axiom,
    ~ ( e3 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e0 = op(e1,e4)
      & e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e2 = op(op(e1,e4),op(e1,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax727) ).

fof(f5470,plain,
    ( ~ spl0_480
    | ~ spl0_100
    | ~ spl0_505
    | ~ spl0_504 ),
    inference(avatar_split_clause,[],[f2458,f4988,f4992,f3140,f4876]) ).

fof(f2458,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(e1,e3)
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f1348]) ).

fof(f1348,plain,
    ( e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3)
    | e0 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f580]) ).

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

fof(f5469,plain,
    ( ~ spl0_579
    | ~ spl0_578
    | ~ spl0_24
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1537,f2816,f2808,f5344,f5348]) ).

fof(f1537,plain,
    ( e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(e4,e5)
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(op(e4,e5),op(e4,e5)) ),
    inference(cnf_transformation,[],[f765]) ).

fof(f765,plain,
    ( e3 != op(e4,e5)
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(op(e4,e5),op(e4,e5))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,axiom,
    ~ ( e2 = op(op(e4,e5),op(e4,e5))
      & e3 = op(e4,e5)
      & e0 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e1 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).

fof(f5468,plain,
    ~ spl0_602,
    inference(avatar_split_clause,[],[f1957,f5465]) ).

fof(f5465,plain,
    ( spl0_602
  <=> op(e3,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).

fof(f1957,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5463,plain,
    spl0_601,
    inference(avatar_split_clause,[],[f2201,f5460]) ).

fof(f5460,plain,
    ( spl0_601
  <=> op(op(e5,e5),e3) = op(e5,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).

fof(f2201,plain,
    op(op(e5,e5),e3) = op(e5,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5458,plain,
    ~ spl0_600,
    inference(avatar_split_clause,[],[f1980,f5455]) ).

fof(f5455,plain,
    ( spl0_600
  <=> op(e2,e3) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).

fof(f1980,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5453,plain,
    ( ~ spl0_114
    | ~ spl0_339
    | ~ spl0_575
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1811,f3195,f5329,f4214,f3199]) ).

fof(f1811,plain,
    ( e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(e5,e1)
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(op(e5,e1),op(e5,e1)) ),
    inference(cnf_transformation,[],[f748]) ).

fof(f748,plain,
    ( e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(op(e5,e1),op(e5,e1))
    | e3 != op(e5,e1) ),
    inference(ennf_transformation,[],[f518]) ).

fof(f518,axiom,
    ~ ( e4 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e2 = op(op(e5,e1),op(e5,e1))
      & e0 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e3 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax518) ).

fof(f5452,plain,
    ( ~ spl0_598
    | ~ spl0_599
    | ~ spl0_527
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1865,f3484,f5095,f5449,f5445]) ).

fof(f1865,plain,
    ( e3 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f1364]) ).

fof(f1364,plain,
    ( e0 != op(e2,e4)
    | e1 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e5 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(op(e2,e4),op(e2,e4)) ),
    inference(ennf_transformation,[],[f715]) ).

fof(f715,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e3 = op(op(e2,e4),op(e2,e4))
      & e0 = op(e2,e4)
      & e1 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax715) ).

fof(f5443,plain,
    ~ spl0_597,
    inference(avatar_split_clause,[],[f1992,f5440]) ).

fof(f5440,plain,
    ( spl0_597
  <=> op(e0,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).

fof(f1992,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5438,plain,
    ( ~ spl0_417
    | ~ spl0_456
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2396,f3333,f3329,f4761,f4576]) ).

fof(f2396,plain,
    ( e4 != op(e3,e5)
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(op(e3,e5),op(e3,e5)) ),
    inference(cnf_transformation,[],[f1059]) ).

fof(f1059,plain,
    ( e4 != op(e3,e5)
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f352]) ).

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

fof(f5437,plain,
    ( ~ spl0_595
    | ~ spl0_117
    | ~ spl0_596
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2588,f3216,f5434,f3212,f5430]) ).

fof(f2588,plain,
    ( e4 != op(e5,e0)
    | e2 != op(op(e5,e0),op(e5,e0))
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(cnf_transformation,[],[f1302]) ).

fof(f1302,plain,
    ( e2 != op(op(e5,e0),op(e5,e0))
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(e5,e0) ),
    inference(ennf_transformation,[],[f140]) ).

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

fof(f5428,plain,
    ( ~ spl0_179
    | ~ spl0_178
    | ~ spl0_527
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f2072,f5083,f5095,f3484,f3488]) ).

fof(f2072,plain,
    ( e5 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(e2,e4)
    | e3 != op(op(e2,e4),op(e2,e4))
    | e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4)))) ),
    inference(cnf_transformation,[],[f1009]) ).

fof(f1009,plain,
    ( e0 != op(e2,e4)
    | e3 != op(op(e2,e4),op(e2,e4))
    | e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f223]) ).

fof(f223,axiom,
    ~ ( e5 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e3 = op(op(e2,e4),op(e2,e4))
      & e1 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax223) ).

fof(f5427,plain,
    ( ~ spl0_594
    | ~ spl0_269
    | ~ spl0_214
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f2670,f3645,f3641,f3890,f5424]) ).

fof(f2670,plain,
    ( e5 != op(e0,e4)
    | e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(cnf_transformation,[],[f1271]) ).

fof(f1271,plain,
    ( e1 != op(op(e0,e4),op(e0,e4))
    | e2 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(e0,e4) ),
    inference(ennf_transformation,[],[f341]) ).

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

fof(f5422,plain,
    ( ~ spl0_592
    | ~ spl0_187
    | ~ spl0_185
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f2362,f5419,f3515,f3523,f5415]) ).

fof(f2362,plain,
    ( e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,e0),op(e4,e0))
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,e0) ),
    inference(cnf_transformation,[],[f878]) ).

fof(f878,plain,
    ( e2 != op(e4,e0)
    | e1 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f392]) ).

fof(f392,axiom,
    ~ ( e5 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e3 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e2 = op(e4,e0)
      & e1 = op(op(e4,e0),op(e4,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax392) ).

fof(f5413,plain,
    ( ~ spl0_74
    | ~ spl0_72
    | ~ spl0_463
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f1839,f4677,f4797,f3018,f3026]) ).

fof(f1839,plain,
    ( e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e2 != op(e1,e4)
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f1057]) ).

fof(f1057,plain,
    ( e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,e4) ),
    inference(ennf_transformation,[],[f711]) ).

fof(f711,axiom,
    ~ ( e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e2 = op(e1,e4)
      & e3 = op(op(e1,e4),op(e1,e4))
      & e0 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax711) ).

fof(f5412,plain,
    ( ~ spl0_134
    | ~ spl0_59
    | ~ spl0_590
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f1658,f5409,f5405,f2960,f3286]) ).

fof(f1658,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(e1,e0) ),
    inference(cnf_transformation,[],[f1343]) ).

fof(f1343,plain,
    ( e4 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(e1,e0)
    | e2 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f635]) ).

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

fof(f5403,plain,
    ( ~ spl0_94
    | ~ spl0_368
    | ~ spl0_396
    | ~ spl0_401 ),
    inference(avatar_split_clause,[],[f2642,f4501,f4479,f4346,f3114]) ).

fof(f2642,plain,
    ( e5 != op(op(e2,e3),op(e2,e3))
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f1004]) ).

fof(f1004,plain,
    ( e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(e2,e3)
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ~ ( e1 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e4 = op(e2,e3)
      & e0 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e5 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(f5402,plain,
    ( ~ spl0_82
    | ~ spl0_589
    | ~ spl0_269
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2616,f3056,f3890,f5399,f3060]) ).

fof(f2616,plain,
    ( e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(e0,e4) ),
    inference(cnf_transformation,[],[f1400]) ).

fof(f1400,plain,
    ( e5 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(e0,e4)
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(op(e0,e4),op(e0,e4)) ),
    inference(ennf_transformation,[],[f467]) ).

fof(f467,axiom,
    ~ ( e2 = op(e0,e4)
      & e3 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e5 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(op(e0,e4),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax467) ).

fof(f5397,plain,
    spl0_588,
    inference(avatar_split_clause,[],[f2285,f5394]) ).

fof(f5394,plain,
    ( spl0_588
  <=> op(op(e3,e5),e4) = op(e3,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).

fof(f2285,plain,
    op(op(e3,e5),e4) = op(e3,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5392,plain,
    ( ~ spl0_585
    | ~ spl0_586
    | ~ spl0_299
    | ~ spl0_587 ),
    inference(avatar_split_clause,[],[f1817,f5389,f4029,f5385,f5381]) ).

fof(f1817,plain,
    ( e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(e4,e1)
    | e5 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f769]) ).

fof(f769,plain,
    ( e5 != op(op(e4,e1),op(e4,e1))
    | e0 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e2 != op(e4,e1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e2 = op(e4,e1)
      & e3 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e5 = op(op(e4,e1),op(e4,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f5379,plain,
    ( ~ spl0_425
    | ~ spl0_120
    | ~ spl0_44
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1487,f3233,f2895,f3225,f4613]) ).

fof(f1487,plain,
    ( e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e4 != op(op(e1,e5),op(e1,e5))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e0 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1067]) ).

fof(f1067,plain,
    ( e0 != op(e1,e5)
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(op(e1,e5),op(e1,e5)) ),
    inference(ennf_transformation,[],[f361]) ).

fof(f361,axiom,
    ~ ( e0 = op(e1,e5)
      & e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e3 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e4 = op(op(e1,e5),op(e1,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax361) ).

fof(f5378,plain,
    ( ~ spl0_551
    | ~ spl0_550
    | ~ spl0_86
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f2360,f3979,f3078,f5206,f5210]) ).

fof(f2360,plain,
    ( e3 != op(e1,e2)
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(op(e1,e2),op(e1,e2)) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f1414,plain,
    ( e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(e1,e2)
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f682]) ).

fof(f682,axiom,
    ~ ( e4 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e0 = op(op(e1,e2),op(e1,e2))
      & e3 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax682) ).

fof(f5377,plain,
    ( ~ spl0_485
    | ~ spl0_417
    | ~ spl0_303
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f1803,f4055,f4047,f4576,f4900]) ).

fof(f1803,plain,
    ( e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(op(e3,e5),op(e3,e5))
    | e0 != op(e3,e5) ),
    inference(cnf_transformation,[],[f1149]) ).

fof(f1149,plain,
    ( e0 != op(e3,e5)
    | e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(op(e3,e5),op(e3,e5))
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f600]) ).

fof(f600,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e0 = op(e3,e5)
      & e1 = op(op(e3,e5),op(e3,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax600) ).

fof(f5376,plain,
    ( spl0_583
    | ~ spl0_584 ),
    inference(avatar_split_clause,[],[f1679,f5373,f5369]) ).

fof(f1679,plain,
    ( e4 != inv(e1)
    | e1 = inv(e4) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f5367,plain,
    ~ spl0_582,
    inference(avatar_split_clause,[],[f1959,f5364]) ).

fof(f5364,plain,
    ( spl0_582
  <=> op(e0,e1) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).

fof(f1959,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f5362,plain,
    ~ spl0_581,
    inference(avatar_split_clause,[],[f1925,f5359]) ).

fof(f5359,plain,
    ( spl0_581
  <=> op(e0,e3) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).

fof(f1925,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5357,plain,
    ( ~ spl0_580
    | ~ spl0_417
    | ~ spl0_144
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f1654,f4047,f3333,f4576,f5354]) ).

fof(f1654,plain,
    ( e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(e3,e5)
    | e1 != op(op(e3,e5),op(e3,e5))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(cnf_transformation,[],[f1202]) ).

fof(f1202,plain,
    ( e4 != op(e3,e5)
    | e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e0 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f118]) ).

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

fof(f5352,plain,
    ( ~ spl0_367
    | ~ spl0_401
    | ~ spl0_95
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f2398,f4068,f3118,f4501,f4342]) ).

fof(f2398,plain,
    ( e1 != op(e2,e3)
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,e3),op(e2,e3))
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f1390]) ).

fof(f1390,plain,
    ( e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,e3)
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f565]) ).

fof(f565,axiom,
    ~ ( e1 = op(e2,e3)
      & e5 = op(op(e2,e3),op(e2,e3))
      & e4 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e0 = op(e2,op(op(e2,e3),op(e2,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax565) ).

fof(f5351,plain,
    ( ~ spl0_545
    | ~ spl0_578
    | ~ spl0_388
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f1480,f5348,f4441,f5344,f5183]) ).

fof(f1480,plain,
    ( e2 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e1 != op(e4,e5) ),
    inference(cnf_transformation,[],[f1215]) ).

fof(f1215,plain,
    ( e2 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(e4,e5)
    | e0 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e2 = op(op(e4,e5),op(e4,e5))
      & e1 = op(e4,e5)
      & e3 = op(e4,op(op(e4,e5),op(e4,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).

fof(f5342,plain,
    spl0_577,
    inference(avatar_split_clause,[],[f2133,f5339]) ).

fof(f5339,plain,
    ( spl0_577
  <=> op(op(e5,e2),e2) = op(e5,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).

fof(f2133,plain,
    op(op(e5,e2),e2) = op(e5,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5337,plain,
    ( ~ spl0_174
    | ~ spl0_363
    | ~ spl0_330
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1460,f3475,f4172,f4324,f3467]) ).

fof(f1460,plain,
    ( e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,e2) ),
    inference(cnf_transformation,[],[f934]) ).

fof(f934,plain,
    ( e4 != op(e3,e2)
    | e0 != op(op(e3,e2),op(e3,e2))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(ennf_transformation,[],[f670]) ).

fof(f670,axiom,
    ~ ( e4 = op(e3,e2)
      & e0 = op(op(e3,e2),op(e3,e2))
      & e5 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e1 = op(e3,op(op(e3,e2),op(e3,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax670) ).

fof(f5336,plain,
    ( ~ spl0_575
    | ~ spl0_576
    | ~ spl0_340
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f1558,f3602,f4218,f5333,f5329]) ).

fof(f1558,plain,
    ( e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e3 != op(e5,e1) ),
    inference(cnf_transformation,[],[f869]) ).

fof(f869,plain,
    ( e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,e1),op(e5,e1))
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(e5,e1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e3 = op(e5,e1)
      & e2 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e4 = op(op(e5,e1),op(e5,e1))
      & e0 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f5327,plain,
    ~ spl0_574,
    inference(avatar_split_clause,[],[f1920,f5324]) ).

fof(f5324,plain,
    ( spl0_574
  <=> op(e0,e5) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).

fof(f1920,plain,
    op(e0,e5) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5322,plain,
    spl0_573,
    inference(avatar_split_clause,[],[f2215,f5319]) ).

fof(f5319,plain,
    ( spl0_573
  <=> op(op(e2,e5),e4) = op(e2,op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).

fof(f2215,plain,
    op(op(e2,e5),e4) = op(e2,op(e5,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5317,plain,
    ( ~ spl0_40
    | ~ spl0_408
    | ~ spl0_448
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2673,f2885,f4724,f4533,f2877]) ).

fof(f2673,plain,
    ( e1 != op(e5,e2)
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,e2),op(e5,e2)) ),
    inference(cnf_transformation,[],[f1366]) ).

fof(f1366,plain,
    ( e1 != op(e5,e2)
    | e4 != op(op(e5,e2),op(e5,e2))
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ ( e4 = op(op(e5,e2),op(e5,e2))
      & e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e1 = op(e5,e2)
      & e3 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f5316,plain,
    spl0_572,
    inference(avatar_split_clause,[],[f2269,f5313]) ).

fof(f5313,plain,
    ( spl0_572
  <=> op(op(e5,e1),e3) = op(e5,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).

fof(f2269,plain,
    op(op(e5,e1),e3) = op(e5,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5311,plain,
    spl0_571,
    inference(avatar_split_clause,[],[f2526,f5308]) ).

fof(f5308,plain,
    ( spl0_571
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).

fof(f2526,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5306,plain,
    ( ~ spl0_55
    | ~ spl0_570
    | ~ spl0_318
    | ~ spl0_547 ),
    inference(avatar_split_clause,[],[f2372,f5193,f4115,f5303,f2943]) ).

fof(f2372,plain,
    ( e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,e3)
    | e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,e3),op(e4,e3)) ),
    inference(cnf_transformation,[],[f862]) ).

fof(f862,plain,
    ( e0 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,e3) ),
    inference(ennf_transformation,[],[f184]) ).

fof(f184,axiom,
    ~ ( e5 = op(e4,e3)
      & e2 = op(op(e4,e3),op(e4,e3))
      & e0 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).

fof(f5301,plain,
    ( ~ spl0_568
    | ~ spl0_60
    | ~ spl0_132
    | ~ spl0_569 ),
    inference(avatar_split_clause,[],[f2078,f5298,f3278,f2964,f5294]) ).

fof(f2078,plain,
    ( e3 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,e0)
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f741]) ).

fof(f741,plain,
    ( e4 != op(e1,e0)
    | e5 != op(op(e1,e0),op(e1,e0))
    | e2 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e3 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(ennf_transformation,[],[f261]) ).

fof(f261,axiom,
    ~ ( e2 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e3 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(e1,e0)
      & e5 = op(op(e1,e0),op(e1,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax261) ).

fof(f5292,plain,
    ~ spl0_567,
    inference(avatar_split_clause,[],[f1993,f5289]) ).

fof(f5289,plain,
    ( spl0_567
  <=> op(e3,e0) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).

fof(f1993,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5287,plain,
    spl0_566,
    inference(avatar_split_clause,[],[f2165,f5284]) ).

fof(f5284,plain,
    ( spl0_566
  <=> op(op(e2,e3),e4) = op(e2,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).

fof(f2165,plain,
    op(op(e2,e3),e4) = op(e2,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5282,plain,
    ( ~ spl0_356
    | ~ spl0_565
    | ~ spl0_357
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f2391,f4728,f4296,f5279,f4292]) ).

fof(f2391,plain,
    ( e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(e5,e2)
    | e0 != op(op(e5,e2),op(e5,e2))
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(cnf_transformation,[],[f1254]) ).

fof(f1254,plain,
    ( e0 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(e5,e2)
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(ennf_transformation,[],[f548]) ).

fof(f548,axiom,
    ~ ( e0 = op(op(e5,e2),op(e5,e2))
      & e4 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e3 = op(e5,e2)
      & e1 = op(e5,op(op(e5,e2),op(e5,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax548) ).

fof(f5277,plain,
    spl0_564,
    inference(avatar_split_clause,[],[f2119,f5274]) ).

fof(f5274,plain,
    ( spl0_564
  <=> op(op(e1,e2),e0) = op(e1,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).

fof(f2119,plain,
    op(op(e1,e2),e0) = op(e1,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5272,plain,
    ( ~ spl0_99
    | ~ spl0_434
    | ~ spl0_162
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f2604,f5269,f3414,f4658,f3135]) ).

fof(f2604,plain,
    ( e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e4 != op(e3,e1)
    | e2 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(cnf_transformation,[],[f1217]) ).

fof(f1217,plain,
    ( e4 != op(e3,e1)
    | e2 != op(op(e3,e1),op(e3,e1))
    | e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e5 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1)))) ),
    inference(ennf_transformation,[],[f640]) ).

fof(f640,axiom,
    ~ ( e0 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e5 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e2 = op(op(e3,e1),op(e3,e1))
      & e4 = op(e3,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax640) ).

fof(f5267,plain,
    spl0_562,
    inference(avatar_split_clause,[],[f2180,f5264]) ).

fof(f5264,plain,
    ( spl0_562
  <=> op(op(e3,e2),e4) = op(e3,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).

fof(f2180,plain,
    op(op(e3,e2),e4) = op(e3,op(e2,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5262,plain,
    spl0_561,
    inference(avatar_split_clause,[],[f2136,f5259]) ).

fof(f5259,plain,
    ( spl0_561
  <=> op(op(e4,e1),e1) = op(e4,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).

fof(f2136,plain,
    op(op(e4,e1),e1) = op(e4,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5257,plain,
    ~ spl0_560,
    inference(avatar_split_clause,[],[f2026,f5254]) ).

fof(f5254,plain,
    ( spl0_560
  <=> op(e4,e1) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).

fof(f2026,plain,
    op(e4,e1) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f5252,plain,
    spl0_559,
    inference(avatar_split_clause,[],[f2139,f5249]) ).

fof(f5249,plain,
    ( spl0_559
  <=> op(op(e3,e4),e5) = op(e3,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).

fof(f2139,plain,
    op(op(e3,e4),e5) = op(e3,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5247,plain,
    spl0_558,
    inference(avatar_split_clause,[],[f2273,f5244]) ).

fof(f5244,plain,
    ( spl0_558
  <=> op(op(e0,e0),e4) = op(e0,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).

fof(f2273,plain,
    op(op(e0,e0),e4) = op(e0,op(e0,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5242,plain,
    spl0_557,
    inference(avatar_split_clause,[],[f2245,f5239]) ).

fof(f5239,plain,
    ( spl0_557
  <=> op(op(e5,e1),e4) = op(e5,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).

fof(f2245,plain,
    op(op(e5,e1),e4) = op(e5,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5237,plain,
    spl0_556,
    inference(avatar_split_clause,[],[f2319,f5234]) ).

fof(f5234,plain,
    ( spl0_556
  <=> op(op(e4,e4),e5) = op(e4,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).

fof(f2319,plain,
    op(op(e4,e4),e5) = op(e4,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5232,plain,
    ~ spl0_555,
    inference(avatar_split_clause,[],[f1609,f5229]) ).

fof(f5229,plain,
    ( spl0_555
  <=> inv(e0) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).

fof(f1609,plain,
    inv(e0) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f5227,plain,
    ~ spl0_554,
    inference(avatar_split_clause,[],[f1915,f5224]) ).

fof(f5224,plain,
    ( spl0_554
  <=> op(e1,e2) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).

fof(f1915,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f5222,plain,
    spl0_553,
    inference(avatar_split_clause,[],[f2289,f5219]) ).

fof(f5219,plain,
    ( spl0_553
  <=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).

fof(f2289,plain,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5217,plain,
    ( ~ spl0_287
    | ~ spl0_550
    | ~ spl0_551
    | ~ spl0_552 ),
    inference(avatar_split_clause,[],[f2389,f5214,f5210,f5206,f3975]) ).

fof(f2389,plain,
    ( e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(op(e1,e2),op(e1,e2))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f929]) ).

fof(f929,plain,
    ( e4 != op(e1,e2)
    | e3 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f676]) ).

fof(f676,axiom,
    ~ ( e3 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e5 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e4 = op(e1,e2)
      & e0 = op(op(e1,e2),op(e1,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax676) ).

fof(f5204,plain,
    ( ~ spl0_547
    | ~ spl0_318
    | ~ spl0_548
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f1471,f5201,f5197,f4115,f5193]) ).

fof(f1471,plain,
    ( e0 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(e4,e3)
    | e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f1103]) ).

fof(f1103,plain,
    ( e1 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e0 != op(op(e4,e3),op(e4,e3))
    | e2 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(e4,e3) ),
    inference(ennf_transformation,[],[f190]) ).

fof(f190,axiom,
    ~ ( e0 = op(op(e4,e3),op(e4,e3))
      & e1 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e5 = op(e4,e3)
      & e2 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax190) ).

fof(f5191,plain,
    ( ~ spl0_546
    | ~ spl0_148
    | ~ spl0_187
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1458,f3342,f3523,f3350,f5188]) ).

fof(f1458,plain,
    ( e2 != op(op(e4,e0),op(e4,e0))
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e5 != op(e4,e0)
    | e1 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(cnf_transformation,[],[f903]) ).

fof(f903,plain,
    ( e1 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,e0) ),
    inference(ennf_transformation,[],[f376]) ).

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

fof(f5186,plain,
    ( ~ spl0_27
    | ~ spl0_388
    | ~ spl0_25
    | ~ spl0_545 ),
    inference(avatar_split_clause,[],[f1656,f5183,f2812,f4441,f2820]) ).

fof(f1656,plain,
    ( e1 != op(e4,e5)
    | e0 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f876]) ).

fof(f876,plain,
    ( e1 != op(e4,e5)
    | e0 != op(op(e4,e5),op(e4,e5))
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f362]) ).

fof(f362,axiom,
    ~ ( e1 = op(e4,e5)
      & e2 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e3 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e0 = op(op(e4,e5),op(e4,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax362) ).

fof(f5181,plain,
    ( ~ spl0_439
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f2365,f5178,f3022,f3018,f4681]) ).

fof(f2365,plain,
    ( e0 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e3 != op(e1,e4) ),
    inference(cnf_transformation,[],[f1452]) ).

fof(f1452,plain,
    ( e3 != op(e1,e4)
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(ennf_transformation,[],[f724]) ).

fof(f724,axiom,
    ~ ( e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e3 = op(e1,e4)
      & e2 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e0 = op(op(e1,e4),op(e1,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax724) ).

fof(f5176,plain,
    ~ spl0_543,
    inference(avatar_split_clause,[],[f2011,f5173]) ).

fof(f5173,plain,
    ( spl0_543
  <=> op(e3,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).

fof(f2011,plain,
    op(e3,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5171,plain,
    ( ~ spl0_362
    | ~ spl0_541
    | ~ spl0_542
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f2376,f4328,f5168,f5164,f4320]) ).

fof(f2376,plain,
    ( e5 != op(e3,e2)
    | e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e1 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(cnf_transformation,[],[f928]) ).

fof(f928,plain,
    ( e0 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(e3,e2)
    | e1 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(ennf_transformation,[],[f544]) ).

fof(f544,axiom,
    ~ ( e1 = op(op(e3,e2),op(e3,e2))
      & e4 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e5 = op(e3,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax544) ).

fof(f5162,plain,
    ( ~ spl0_162
    | ~ spl0_435
    | ~ spl0_540
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2370,f3127,f5159,f4662,f3414]) ).

fof(f2370,plain,
    ( e5 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e4 != op(e3,e1) ),
    inference(cnf_transformation,[],[f890]) ).

fof(f890,plain,
    ( e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e4 != op(e3,e1)
    | e5 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e2 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e4 = op(e3,e1)
      & e5 = op(op(e3,e1),op(e3,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f5157,plain,
    ( ~ spl0_539
    | ~ spl0_196
    | ~ spl0_32
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f1474,f4714,f2842,f3561,f5154]) ).

fof(f1474,plain,
    ( e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(e2,e5)
    | e0 != op(op(e2,e5),op(e2,e5)) ),
    inference(cnf_transformation,[],[f930]) ).

fof(f930,plain,
    ( e0 != op(op(e2,e5),op(e2,e5))
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(e2,e5) ),
    inference(ennf_transformation,[],[f608]) ).

fof(f608,axiom,
    ~ ( e1 = op(e2,e5)
      & e0 = op(op(e2,e5),op(e2,e5))
      & e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax608) ).

fof(f5152,plain,
    spl0_538,
    inference(avatar_split_clause,[],[f2117,f5149]) ).

fof(f5149,plain,
    ( spl0_538
  <=> op(op(e0,e2),e0) = op(e0,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).

fof(f2117,plain,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5147,plain,
    ( ~ spl0_534
    | ~ spl0_535
    | ~ spl0_536
    | ~ spl0_537 ),
    inference(avatar_split_clause,[],[f1517,f5144,f5140,f5136,f5132]) ).

fof(f1517,plain,
    ( e5 != op(e0,e1)
    | e4 != op(op(e0,e1),op(e0,e1))
    | e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f905]) ).

fof(f905,plain,
    ( e3 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(op(e0,e1),op(e0,e1))
    | e2 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e5 != op(e0,e1) ),
    inference(ennf_transformation,[],[f287]) ).

fof(f287,axiom,
    ~ ( e4 = op(op(e0,e1),op(e0,e1))
      & e5 = op(e0,e1)
      & e3 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e2 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax287) ).

fof(f5130,plain,
    ( ~ spl0_145
    | ~ spl0_485
    | ~ spl0_533
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f2540,f4055,f5127,f4900,f3337]) ).

fof(f2540,plain,
    ( e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e0 != op(e3,e5)
    | e2 != op(op(e3,e5),op(e3,e5)) ),
    inference(cnf_transformation,[],[f1443]) ).

fof(f1443,plain,
    ( e0 != op(e3,e5)
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(op(e3,e5),op(e3,e5)) ),
    inference(ennf_transformation,[],[f594]) ).

fof(f594,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e0 = op(e3,e5)
      & e1 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e2 = op(op(e3,e5),op(e3,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax594) ).

fof(f5125,plain,
    spl0_532,
    inference(avatar_split_clause,[],[f2131,f5122]) ).

fof(f5122,plain,
    ( spl0_532
  <=> op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).

fof(f2131,plain,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5120,plain,
    spl0_531,
    inference(avatar_split_clause,[],[f2207,f5117]) ).

fof(f5117,plain,
    ( spl0_531
  <=> op(op(e5,e0),e2) = op(e5,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).

fof(f2207,plain,
    op(op(e5,e0),e2) = op(e5,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5115,plain,
    ( ~ spl0_92
    | ~ spl0_402
    | ~ spl0_367
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f2495,f4417,f4342,f4505,f3106]) ).

fof(f2495,plain,
    ( e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,e3)
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f790]) ).

fof(f790,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3)
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3))) ),
    inference(ennf_transformation,[],[f582]) ).

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

fof(f5114,plain,
    spl0_530,
    inference(avatar_split_clause,[],[f2317,f5111]) ).

fof(f5111,plain,
    ( spl0_530
  <=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).

fof(f2317,plain,
    op(op(e3,e1),e1) = op(e3,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5109,plain,
    ( ~ spl0_388
    | ~ spl0_348
    | ~ spl0_529
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1462,f2812,f5106,f4255,f4441]) ).

fof(f1462,plain,
    ( e0 != op(op(e4,e5),op(e4,e5))
    | e2 != op(e4,e5)
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(cnf_transformation,[],[f1006]) ).

fof(f1006,plain,
    ( e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(op(e4,e5),op(e4,e5))
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,e5) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f242,axiom,
    ~ ( e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e2 = op(e4,e5)
      & e3 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e0 = op(op(e4,e5),op(e4,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax242) ).

fof(f5104,plain,
    ( ~ spl0_391
    | ~ spl0_528
    | ~ spl0_241
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f1643,f4905,f3766,f5101,f4455]) ).

fof(f1643,plain,
    ( e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(e1,e3)
    | e4 != op(op(e1,e3),op(e1,e3))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(cnf_transformation,[],[f1260]) ).

fof(f1260,plain,
    ( e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,e3)
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(ennf_transformation,[],[f319]) ).

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

fof(f5099,plain,
    ( ~ spl0_12
    | ~ spl0_281
    | ~ spl0_251
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1591,f3320,f3811,f3946,f2755]) ).

fof(f1591,plain,
    ( e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(op(e2,e1),op(e2,e1))
    | e5 != op(e2,e1)
    | e4 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(cnf_transformation,[],[f759]) ).

fof(f759,plain,
    ( e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,e1)
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f412]) ).

fof(f412,axiom,
    ~ ( e4 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e5 = op(e2,e1)
      & e3 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e0 = op(op(e2,e1),op(e2,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax412) ).

fof(f5098,plain,
    ( ~ spl0_524
    | ~ spl0_525
    | ~ spl0_526
    | ~ spl0_527 ),
    inference(avatar_split_clause,[],[f2656,f5095,f5091,f5087,f5083]) ).

fof(f2656,plain,
    ( e0 != op(e2,e4)
    | e1 != op(op(e2,e4),op(e2,e4))
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f1228]) ).

fof(f1228,plain,
    ( e0 != op(e2,e4)
    | e3 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e1 != op(op(e2,e4),op(e2,e4))
    | e5 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f462]) ).

fof(f462,axiom,
    ~ ( e5 = op(e2,op(op(e2,e4),op(e2,e4)))
      & e1 = op(op(e2,e4),op(e2,e4))
      & e3 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax462) ).

fof(f5081,plain,
    ( ~ spl0_263
    | ~ spl0_523
    | ~ spl0_416
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1856,f3177,f4571,f5078,f3864]) ).

fof(f1856,plain,
    ( e2 != op(e5,e4)
    | e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,e4),op(e5,e4))
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f754]) ).

fof(f754,plain,
    ( e2 != op(e5,e4)
    | e1 != op(op(e5,e4),op(e5,e4))
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f446]) ).

fof(f446,axiom,
    ~ ( e2 = op(e5,e4)
      & e3 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e0 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(op(e5,e4),op(e5,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax446) ).

fof(f5076,plain,
    spl0_522,
    inference(avatar_split_clause,[],[f2125,f5073]) ).

fof(f5073,plain,
    ( spl0_522
  <=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).

fof(f2125,plain,
    op(op(e3,e3),e2) = op(e3,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5071,plain,
    ( ~ spl0_142
    | ~ spl0_145
    | ~ spl0_485
    | ~ spl0_455 ),
    inference(avatar_split_clause,[],[f2531,f4757,f4900,f3337,f3325]) ).

fof(f2531,plain,
    ( e4 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e0 != op(e3,e5)
    | e2 != op(op(e3,e5),op(e3,e5))
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(cnf_transformation,[],[f949]) ).

fof(f949,plain,
    ( e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(e3,e5)
    | e2 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f246]) ).

fof(f246,axiom,
    ~ ( e4 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(op(e3,e5),op(e3,e5))
      & e0 = op(e3,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax246) ).

fof(f5070,plain,
    spl0_521,
    inference(avatar_split_clause,[],[f2210,f5067]) ).

fof(f5067,plain,
    ( spl0_521
  <=> op(op(e0,e1),e3) = op(e0,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).

fof(f2210,plain,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5065,plain,
    ( ~ spl0_520
    | ~ spl0_224
    | ~ spl0_266
    | ~ spl0_495 ),
    inference(avatar_split_clause,[],[f2576,f4944,f3877,f3689,f5062]) ).

fof(f2576,plain,
    ( e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(e0,e5)
    | e1 != op(op(e0,e5),op(e0,e5))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(cnf_transformation,[],[f1442]) ).

fof(f1442,plain,
    ( e1 != op(op(e0,e5),op(e0,e5))
    | e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,e5) ),
    inference(ennf_transformation,[],[f365]) ).

fof(f365,axiom,
    ~ ( e2 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e4 = op(e0,e5)
      & e1 = op(op(e0,e5),op(e0,e5))
      & e3 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax365) ).

fof(f5060,plain,
    ~ spl0_519,
    inference(avatar_split_clause,[],[f2022,f5057]) ).

fof(f5057,plain,
    ( spl0_519
  <=> op(e1,e2) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).

fof(f2022,plain,
    op(e1,e2) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f5055,plain,
    spl0_518,
    inference(avatar_split_clause,[],[f2316,f5052]) ).

fof(f5052,plain,
    ( spl0_518
  <=> op(op(e0,e5),e3) = op(e0,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).

fof(f2316,plain,
    op(op(e0,e5),e3) = op(e0,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f5050,plain,
    ( ~ spl0_86
    | ~ spl0_288
    | ~ spl0_87
    | ~ spl0_517 ),
    inference(avatar_split_clause,[],[f2555,f5047,f3082,f3979,f3078]) ).

fof(f2555,plain,
    ( e5 != op(op(e1,e2),op(e1,e2))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e3 != op(e1,e2)
    | e4 != op(e1,op(op(e1,e2),op(e1,e2))) ),
    inference(cnf_transformation,[],[f909]) ).

fof(f909,plain,
    ( e3 != op(e1,e2)
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e5 != op(op(e1,e2),op(e1,e2))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ~ ( e5 = op(op(e1,e2),op(e1,e2))
      & e4 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e3 = op(e1,e2)
      & e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f5045,plain,
    ( ~ spl0_516
    | ~ spl0_280
    | ~ spl0_77
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1810,f2746,f3039,f3942,f5042]) ).

fof(f1810,plain,
    ( e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,e1) ),
    inference(cnf_transformation,[],[f1258]) ).

fof(f1258,plain,
    ( e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(e2,e1)
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f649]) ).

fof(f649,axiom,
    ~ ( e0 = op(e2,e1)
      & e5 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e4 = op(op(e2,e1),op(e2,e1))
      & e3 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax649) ).

fof(f5040,plain,
    ( ~ spl0_75
    | ~ spl0_272
    | ~ spl0_441
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1787,f3026,f4689,f3904,f3030]) ).

fof(f1787,plain,
    ( e3 != op(op(e1,e4),op(e1,e4))
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(e1,e4) ),
    inference(cnf_transformation,[],[f1395]) ).

fof(f1395,plain,
    ( e3 != op(op(e1,e4),op(e1,e4))
    | e0 != op(e1,e4)
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f343,axiom,
    ~ ( e0 = op(e1,e4)
      & e3 = op(op(e1,e4),op(e1,e4))
      & e5 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e2 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax343) ).

fof(f5039,plain,
    ( ~ spl0_310
    | ~ spl0_309
    | ~ spl0_515
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f2410,f3997,f5036,f4074,f4078]) ).

fof(f2410,plain,
    ( e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e2 != op(e5,e3) ),
    inference(cnf_transformation,[],[f1013]) ).

fof(f1013,plain,
    ( e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(e5,e3)
    | e0 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3)) ),
    inference(ennf_transformation,[],[f60]) ).

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

fof(f5034,plain,
    ( spl0_514
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1675,f3528,f5031]) ).

fof(f1675,plain,
    ( e2 != inv(e3)
    | e3 = inv(e2) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f5029,plain,
    ( spl0_512
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f1697,f5026,f5022]) ).

fof(f1697,plain,
    ( e2 != inv(e4)
    | e4 = inv(e2) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f5020,plain,
    ( spl0_506
    | spl0_507
    | spl0_508
    | spl0_509
    | spl0_510
    | spl0_511 ),
    inference(avatar_split_clause,[],[f1720,f5017,f5013,f5009,f5005,f5001,f4997]) ).

fof(f4997,plain,
    ( spl0_506
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).

fof(f5001,plain,
    ( spl0_507
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).

fof(f5005,plain,
    ( spl0_508
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).

fof(f5009,plain,
    ( spl0_509
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).

fof(f5013,plain,
    ( spl0_510
  <=> e5 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).

fof(f5017,plain,
    ( spl0_511
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).

fof(f1720,plain,
    ( e0 = op(e2,e2)
    | e5 = op(e2,e2)
    | e1 = op(e2,e2)
    | e2 = op(e2,e2)
    | e3 = op(e2,e2)
    | e4 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4995,plain,
    ( ~ spl0_504
    | ~ spl0_372
    | ~ spl0_242
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f1834,f4992,f3770,f4364,f4988]) ).

fof(f1834,plain,
    ( e2 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e4 != op(e1,e3)
    | e0 != op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f1440]) ).

fof(f1440,plain,
    ( e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,e3)
    | e2 != op(e1,op(op(e1,e3),op(e1,e3))) ),
    inference(ennf_transformation,[],[f700]) ).

fof(f700,axiom,
    ~ ( e2 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e4 = op(e1,e3)
      & e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e0 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax700) ).

fof(f4986,plain,
    spl0_503,
    inference(avatar_split_clause,[],[f2122,f4983]) ).

fof(f4983,plain,
    ( spl0_503
  <=> op(op(e4,e5),e0) = op(e4,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).

fof(f2122,plain,
    op(op(e4,e5),e0) = op(e4,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4981,plain,
    spl0_502,
    inference(avatar_split_clause,[],[f2193,f4978]) ).

fof(f4978,plain,
    ( spl0_502
  <=> op(op(e0,e1),e2) = op(e0,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).

fof(f2193,plain,
    op(op(e0,e1),e2) = op(e0,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4976,plain,
    spl0_501,
    inference(avatar_split_clause,[],[f1506,f4973]) ).

fof(f4973,plain,
    ( spl0_501
  <=> unit = op(e1,inv(e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).

fof(f1506,plain,
    unit = op(e1,inv(e1)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4971,plain,
    ( ~ spl0_500
    | ~ spl0_104
    | ~ spl0_264
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f2704,f3864,f3868,f3157,f4968]) ).

fof(f2704,plain,
    ( e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(e5,e4)
    | e2 != op(op(e5,e4),op(e5,e4)) ),
    inference(cnf_transformation,[],[f918]) ).

fof(f918,plain,
    ( e0 != op(e5,e4)
    | e2 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(ennf_transformation,[],[f450]) ).

fof(f450,axiom,
    ~ ( e0 = op(e5,e4)
      & e2 = op(op(e5,e4),op(e5,e4))
      & e1 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e3 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax450) ).

fof(f4966,plain,
    ( ~ spl0_63
    | ~ spl0_57
    | ~ spl0_498
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f1624,f4963,f4959,f2951,f2977]) ).

fof(f1624,plain,
    ( e1 != op(op(e4,e3),op(e4,e3))
    | e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e0 != op(e4,e3)
    | e5 != op(e4,op(op(e4,e3),op(e4,e3))) ),
    inference(cnf_transformation,[],[f1378]) ).

fof(f1378,plain,
    ( e2 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e1 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,e3) ),
    inference(ennf_transformation,[],[f318]) ).

fof(f318,axiom,
    ~ ( e5 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e2 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e1 = op(op(e4,e3),op(e4,e3))
      & e0 = op(e4,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax318) ).

fof(f4957,plain,
    ~ spl0_497,
    inference(avatar_split_clause,[],[f2027,f4954]) ).

fof(f4954,plain,
    ( spl0_497
  <=> op(e2,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).

fof(f2027,plain,
    op(e2,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f4952,plain,
    spl0_496,
    inference(avatar_split_clause,[],[f1492,f4949]) ).

fof(f4949,plain,
    ( spl0_496
  <=> e4 = inv(inv(e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).

fof(f1492,plain,
    e4 = inv(inv(e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f4947,plain,
    ( ~ spl0_404
    | ~ spl0_226
    | ~ spl0_427
    | ~ spl0_495 ),
    inference(avatar_split_clause,[],[f1866,f4944,f4623,f3697,f4514]) ).

fof(f1866,plain,
    ( e3 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,e5)
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(cnf_transformation,[],[f758]) ).

fof(f758,plain,
    ( e4 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,e5)
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f243]) ).

fof(f243,axiom,
    ~ ( e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e2 = op(e0,e5)
      & e4 = op(op(e0,e5),op(e0,e5))
      & e3 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax243) ).

fof(f4942,plain,
    ( ~ spl0_3
    | ~ spl0_21
    | ~ spl0_494
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2063,f2719,f4939,f2794,f2715]) ).

fof(f2063,plain,
    ( e4 != op(op(e0,e3),op(e0,e3))
    | e5 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,e3) ),
    inference(cnf_transformation,[],[f982]) ).

fof(f982,plain,
    ( e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,e3)
    | e5 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f201]) ).

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

fof(f4937,plain,
    ( spl0_488
    | spl0_489
    | spl0_490
    | spl0_491
    | spl0_492
    | spl0_493 ),
    inference(avatar_split_clause,[],[f1739,f4934,f4930,f4926,f4922,f4918,f4914]) ).

fof(f4914,plain,
    ( spl0_488
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).

fof(f4918,plain,
    ( spl0_489
  <=> op(e0,e0) = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).

fof(f4922,plain,
    ( spl0_490
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).

fof(f4926,plain,
    ( spl0_491
  <=> op(e0,e0) = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).

fof(f4930,plain,
    ( spl0_492
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).

fof(f4934,plain,
    ( spl0_493
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).

fof(f1739,plain,
    ( op(e0,e0) = e2
    | e0 = op(e0,e0)
    | op(e0,e0) = e4
    | op(e0,e0) = e3
    | op(e0,e0) = e5
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4912,plain,
    ( ~ spl0_241
    | ~ spl0_486
    | ~ spl0_487
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2652,f3152,f4909,f4905,f3766]) ).

fof(f2652,plain,
    ( e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(op(e1,e3),op(e1,e3))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(e1,e3) ),
    inference(cnf_transformation,[],[f822]) ).

fof(f822,plain,
    ( e5 != op(op(e1,e3),op(e1,e3))
    | e2 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e0 != op(e1,e3) ),
    inference(ennf_transformation,[],[f313]) ).

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

fof(f4903,plain,
    ( ~ spl0_142
    | ~ spl0_484
    | ~ spl0_485
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f2352,f4047,f4900,f4896,f3325]) ).

fof(f2352,plain,
    ( e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e0 != op(e3,e5)
    | e4 != op(op(e3,e5),op(e3,e5))
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(cnf_transformation,[],[f1328]) ).

fof(f1328,plain,
    ( e4 != op(op(e3,e5),op(e3,e5))
    | e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e0 != op(e3,e5)
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f235]) ).

fof(f235,axiom,
    ~ ( e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e4 = op(op(e3,e5),op(e3,e5))
      & e2 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e0 = op(e3,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax235) ).

fof(f4894,plain,
    ( ~ spl0_207
    | ~ spl0_478
    | ~ spl0_113
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2373,f3187,f3195,f4866,f3610]) ).

fof(f2373,plain,
    ( e4 != op(e5,e1)
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(op(e5,e1),op(e5,e1)) ),
    inference(cnf_transformation,[],[f770]) ).

fof(f770,plain,
    ( e3 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,e1)
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(ennf_transformation,[],[f278]) ).

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

fof(f4893,plain,
    ~ spl0_483,
    inference(avatar_split_clause,[],[f1978,f4890]) ).

fof(f4890,plain,
    ( spl0_483
  <=> op(e1,e1) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).

fof(f1978,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4888,plain,
    spl0_482,
    inference(avatar_split_clause,[],[f2222,f4885]) ).

fof(f4885,plain,
    ( spl0_482
  <=> op(op(e3,e0),e2) = op(e3,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).

fof(f2222,plain,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4883,plain,
    ( ~ spl0_100
    | ~ spl0_480
    | ~ spl0_481
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1848,f3148,f4880,f4876,f3140]) ).

fof(f1848,plain,
    ( e2 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3) ),
    inference(cnf_transformation,[],[f1018]) ).

fof(f1018,plain,
    ( e0 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e4 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3) ),
    inference(ennf_transformation,[],[f569]) ).

fof(f569,axiom,
    ~ ( e4 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e0 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e5 = op(e1,e3)
      & e2 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax569) ).

fof(f4874,plain,
    ( ~ spl0_225
    | ~ spl0_404
    | ~ spl0_226
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f2053,f4871,f3697,f4514,f3693]) ).

fof(f2053,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,e5)
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f861]) ).

fof(f861,plain,
    ( e3 != op(op(e0,e5),op(e0,e5))
    | e2 != op(e0,e5)
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f249]) ).

fof(f249,axiom,
    ~ ( e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e3 = op(op(e0,e5),op(e0,e5))
      & e4 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax249) ).

fof(f4869,plain,
    ( ~ spl0_322
    | ~ spl0_477
    | ~ spl0_111
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f1707,f4866,f3187,f4862,f4136]) ).

fof(f1707,plain,
    ( e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(e5,e1)
    | e0 != op(op(e5,e1),op(e5,e1))
    | e3 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(cnf_transformation,[],[f1293]) ).

fof(f1293,plain,
    ( e0 != op(op(e5,e1),op(e5,e1))
    | e2 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(e5,e1)
    | e3 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(ennf_transformation,[],[f284]) ).

fof(f284,axiom,
    ~ ( e2 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e3 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e0 = op(op(e5,e1),op(e5,e1))
      & e4 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax284) ).

fof(f4860,plain,
    ~ spl0_476,
    inference(avatar_split_clause,[],[f1879,f4857]) ).

fof(f4857,plain,
    ( spl0_476
  <=> op(e1,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).

fof(f1879,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4855,plain,
    ~ spl0_475,
    inference(avatar_split_clause,[],[f1977,f4852]) ).

fof(f4852,plain,
    ( spl0_475
  <=> op(e1,e3) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).

fof(f1977,plain,
    op(e1,e3) != op(e5,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4850,plain,
    ( spl0_328
    | spl0_471
    | spl0_472
    | spl0_257
    | spl0_473
    | spl0_474 ),
    inference(avatar_split_clause,[],[f1740,f4847,f4843,f3838,f4839,f4835,f4162]) ).

fof(f4835,plain,
    ( spl0_471
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).

fof(f4843,plain,
    ( spl0_473
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).

fof(f1740,plain,
    ( e3 = op(e4,e2)
    | e4 = op(e4,e2)
    | e1 = op(e4,e2)
    | e5 = op(e4,e2)
    | e2 = op(e4,e2)
    | e0 = op(e4,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4833,plain,
    ( spl0_467
    | spl0_420
    | spl0_239
    | spl0_468
    | spl0_469
    | spl0_470 ),
    inference(avatar_split_clause,[],[f1755,f4830,f4826,f4822,f3757,f4589,f4818]) ).

fof(f4826,plain,
    ( spl0_469
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).

fof(f4830,plain,
    ( spl0_470
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).

fof(f1755,plain,
    ( e0 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e5 = op(e0,e2)
    | e3 = op(e0,e2)
    | e4 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4816,plain,
    ( ~ spl0_144
    | ~ spl0_303
    | ~ spl0_304
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2399,f3325,f4051,f4047,f3333]) ).

fof(f2399,plain,
    ( e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(op(e3,e5),op(e3,e5))
    | e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(e3,e5) ),
    inference(cnf_transformation,[],[f1398]) ).

fof(f1398,plain,
    ( e4 != op(e3,e5)
    | e0 != op(op(e3,e5),op(e3,e5))
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e2 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f238]) ).

fof(f238,axiom,
    ~ ( e0 = op(op(e3,e5),op(e3,e5))
      & e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e4 = op(e3,e5)
      & e2 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax238) ).

fof(f4815,plain,
    ~ spl0_466,
    inference(avatar_split_clause,[],[f1999,f4812]) ).

fof(f4812,plain,
    ( spl0_466
  <=> op(e0,e5) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).

fof(f1999,plain,
    op(e0,e5) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4810,plain,
    ~ spl0_465,
    inference(avatar_split_clause,[],[f1884,f4807]) ).

fof(f4807,plain,
    ( spl0_465
  <=> op(e1,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).

fof(f1884,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4805,plain,
    spl0_464,
    inference(avatar_split_clause,[],[f2296,f4802]) ).

fof(f4802,plain,
    ( spl0_464
  <=> op(op(e2,e4),e3) = op(e2,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).

fof(f2296,plain,
    op(op(e2,e4),e3) = op(e2,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4800,plain,
    ( ~ spl0_438
    | ~ spl0_463
    | ~ spl0_440
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f1835,f3900,f4685,f4797,f4677]) ).

fof(f1835,plain,
    ( e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,e4)
    | e0 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f871]) ).

fof(f871,plain,
    ( e2 != op(e1,e4)
    | e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(op(e1,e4),op(e1,e4)) ),
    inference(ennf_transformation,[],[f447]) ).

fof(f447,axiom,
    ~ ( e0 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e5 = op(op(e1,e4),op(e1,e4))
      & e2 = op(e1,e4)
      & e3 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax447) ).

fof(f4795,plain,
    spl0_462,
    inference(avatar_split_clause,[],[f2149,f4792]) ).

fof(f4792,plain,
    ( spl0_462
  <=> op(op(e0,e0),e1) = op(e0,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).

fof(f2149,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4790,plain,
    ~ spl0_461,
    inference(avatar_split_clause,[],[f2454,f4787]) ).

fof(f4787,plain,
    ( spl0_461
  <=> e4 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).

fof(f2454,plain,
    e4 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f4785,plain,
    ~ spl0_460,
    inference(avatar_split_clause,[],[f2006,f4782]) ).

fof(f4782,plain,
    ( spl0_460
  <=> op(e2,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).

fof(f2006,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f4780,plain,
    ( ~ spl0_210
    | ~ spl0_16
    | ~ spl0_459
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f1858,f3627,f4777,f2772,f3623]) ).

fof(f1858,plain,
    ( e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(e3,e0)
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1376]) ).

fof(f1376,plain,
    ( e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,e0) ),
    inference(ennf_transformation,[],[f632]) ).

fof(f632,axiom,
    ~ ( e1 = op(op(e3,e0),op(e3,e0))
      & e2 = op(e3,e0)
      & e4 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax632) ).

fof(f4775,plain,
    spl0_458,
    inference(avatar_split_clause,[],[f2298,f4772]) ).

fof(f4772,plain,
    ( spl0_458
  <=> op(op(e1,e4),e4) = op(e1,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).

fof(f2298,plain,
    op(op(e1,e4),e4) = op(e1,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4770,plain,
    spl0_457,
    inference(avatar_split_clause,[],[f1507,f4767]) ).

fof(f4767,plain,
    ( spl0_457
  <=> unit = op(e2,inv(e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).

fof(f1507,plain,
    unit = op(e2,inv(e2)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4765,plain,
    ( ~ spl0_309
    | ~ spl0_341
    | ~ spl0_292
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1854,f3462,f3997,f4223,f4074]) ).

fof(f1854,plain,
    ( e0 != op(e5,e3)
    | e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3)) ),
    inference(cnf_transformation,[],[f985]) ).

fof(f985,plain,
    ( e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,e3)
    | e1 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(ennf_transformation,[],[f306]) ).

fof(f306,axiom,
    ~ ( e0 = op(e5,e3)
      & e2 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e1 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e4 = op(op(e5,e3),op(e5,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax306) ).

fof(f4764,plain,
    ( ~ spl0_455
    | ~ spl0_304
    | ~ spl0_302
    | ~ spl0_456 ),
    inference(avatar_split_clause,[],[f1623,f4761,f4043,f4051,f4757]) ).

fof(f1623,plain,
    ( e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e1 != op(e3,e5)
    | e0 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(cnf_transformation,[],[f1273]) ).

fof(f1273,plain,
    ( e1 != op(e3,e5)
    | e2 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f368]) ).

fof(f368,axiom,
    ~ ( e4 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e0 = op(op(e3,e5),op(e3,e5))
      & e2 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e1 = op(e3,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax368) ).

fof(f4755,plain,
    ( ~ spl0_453
    | spl0_454 ),
    inference(avatar_split_clause,[],[f1671,f4752,f4748]) ).

fof(f1671,plain,
    ( e5 = inv(e2)
    | e2 != inv(e5) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f4746,plain,
    spl0_452,
    inference(avatar_split_clause,[],[f2163,f4743]) ).

fof(f4743,plain,
    ( spl0_452
  <=> op(op(e5,e1),e1) = op(e5,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).

fof(f2163,plain,
    op(op(e5,e1),e1) = op(e5,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4741,plain,
    ( ~ spl0_451
    | ~ spl0_274
    | ~ spl0_13
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f1463,f3619,f2760,f3914,f4738]) ).

fof(f1463,plain,
    ( e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e4 != op(e3,e0)
    | e5 != op(op(e3,e0),op(e3,e0))
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f1274]) ).

fof(f1274,plain,
    ( e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,e0)
    | e5 != op(op(e3,e0),op(e3,e0)) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f135,axiom,
    ~ ( e4 = op(e3,e0)
      & e1 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e2 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e5 = op(op(e3,e0),op(e3,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

fof(f4736,plain,
    ~ spl0_450,
    inference(avatar_split_clause,[],[f1987,f4733]) ).

fof(f4733,plain,
    ( spl0_450
  <=> op(e2,e1) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).

fof(f1987,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4731,plain,
    ( ~ spl0_357
    | ~ spl0_448
    | ~ spl0_449
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1657,f2877,f4728,f4724,f4296]) ).

fof(f1657,plain,
    ( e4 != op(op(e5,e2),op(e5,e2))
    | e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,e2) ),
    inference(cnf_transformation,[],[f944]) ).

fof(f944,plain,
    ( e1 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,e2),op(e5,e2))
    | e3 != op(e5,e2)
    | e0 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ~ ( e3 = op(e5,e2)
      & e1 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e4 = op(op(e5,e2),op(e5,e2))
      & e0 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f4722,plain,
    spl0_447,
    inference(avatar_split_clause,[],[f2134,f4719]) ).

fof(f4719,plain,
    ( spl0_447
  <=> op(op(e4,e1),e3) = op(e4,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).

fof(f2134,plain,
    op(op(e4,e1),e3) = op(e4,op(e1,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4717,plain,
    ( ~ spl0_194
    | ~ spl0_228
    | ~ spl0_446
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f1759,f3561,f4714,f3706,f3553]) ).

fof(f1759,plain,
    ( e1 != op(e2,e5)
    | e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(op(e2,e5),op(e2,e5))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f1045]) ).

fof(f1045,plain,
    ( e4 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e1 != op(e2,e5)
    | e3 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f589]) ).

fof(f589,axiom,
    ~ ( e1 = op(e2,e5)
      & e3 = op(op(e2,e5),op(e2,e5))
      & e4 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e0 = op(e2,op(op(e2,e5),op(e2,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax589) ).

fof(f4712,plain,
    ( ~ spl0_332
    | ~ spl0_176
    | ~ spl0_362
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2102,f3471,f4320,f3475,f4180]) ).

fof(f2102,plain,
    ( e5 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(e3,e2) ),
    inference(cnf_transformation,[],[f1007]) ).

fof(f1007,plain,
    ( e5 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(e3,e2) ),
    inference(ennf_transformation,[],[f547]) ).

fof(f547,axiom,
    ~ ( e0 = op(e3,e2)
      & e1 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e5 = op(op(e3,e2),op(e3,e2))
      & e4 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax547) ).

fof(f4711,plain,
    ( spl0_249
    | spl0_34
    | spl0_196
    | spl0_443
    | spl0_444
    | spl0_445 ),
    inference(avatar_split_clause,[],[f1742,f4708,f4704,f4700,f3561,f2850,f3802]) ).

fof(f4704,plain,
    ( spl0_444
  <=> e5 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).

fof(f4708,plain,
    ( spl0_445
  <=> e2 = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).

fof(f1742,plain,
    ( e2 = op(e2,e5)
    | e5 = op(e2,e5)
    | e3 = op(e2,e5)
    | e1 = op(e2,e5)
    | e4 = op(e2,e5)
    | e0 = op(e2,e5) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4698,plain,
    ( ~ spl0_359
    | ~ spl0_51
    | ~ spl0_442
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1662,f2916,f4695,f2924,f4305]) ).

fof(f1662,plain,
    ( e1 != op(e2,e0)
    | e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f796]) ).

fof(f796,plain,
    ( e4 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,e0) ),
    inference(ennf_transformation,[],[f505]) ).

fof(f505,axiom,
    ~ ( e1 = op(e2,e0)
      & e3 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e5 = op(op(e2,e0),op(e2,e0))
      & e4 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax505) ).

fof(f4693,plain,
    ( ~ spl0_109
    | ~ spl0_315
    | ~ spl0_416
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f1637,f4105,f4571,f4101,f3177]) ).

fof(f1637,plain,
    ( e3 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,e4) ),
    inference(cnf_transformation,[],[f1056]) ).

fof(f1056,plain,
    ( e3 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,e4)
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f204,axiom,
    ~ ( e2 = op(e5,e4)
      & e3 = op(op(e5,e4),op(e5,e4))
      & e0 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e1 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax204) ).

fof(f4692,plain,
    ( ~ spl0_438
    | ~ spl0_439
    | ~ spl0_440
    | ~ spl0_441 ),
    inference(avatar_split_clause,[],[f2572,f4689,f4685,f4681,f4677]) ).

fof(f2572,plain,
    ( e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,e4)
    | e0 != op(e1,op(op(e1,e4),op(e1,e4))) ),
    inference(cnf_transformation,[],[f1420]) ).

fof(f1420,plain,
    ( e0 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,e4)
    | e2 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(ennf_transformation,[],[f327]) ).

fof(f327,axiom,
    ~ ( e5 = op(op(e1,e4),op(e1,e4))
      & e3 = op(e1,e4)
      & e0 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e2 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax327) ).

fof(f4675,plain,
    spl0_437,
    inference(avatar_split_clause,[],[f2170,f4672]) ).

fof(f4672,plain,
    ( spl0_437
  <=> op(op(e1,e0),e3) = op(e1,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).

fof(f2170,plain,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4670,plain,
    ( ~ spl0_360
    | ~ spl0_16
    | ~ spl0_275
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f2335,f3627,f3918,f2772,f4310]) ).

fof(f2335,plain,
    ( e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e2 != op(e3,e0)
    | e4 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1040]) ).

fof(f1040,plain,
    ( e2 != op(e3,e0)
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e4 != op(op(e3,e0),op(e3,e0)) ),
    inference(ennf_transformation,[],[f613]) ).

fof(f613,axiom,
    ~ ( e2 = op(e3,e0)
      & e1 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e4 = op(op(e3,e0),op(e3,e0))
      & e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax613) ).

fof(f4669,plain,
    ( ~ spl0_434
    | ~ spl0_435
    | ~ spl0_436
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2348,f3426,f4666,f4662,f4658]) ).

fof(f2348,plain,
    ( e5 != op(e3,e1)
    | e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(op(e3,e1),op(e3,e1)) ),
    inference(cnf_transformation,[],[f1162]) ).

fof(f1162,plain,
    ( e4 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e0 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(op(e3,e1),op(e3,e1))
    | e5 != op(e3,e1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e4 = op(e3,op(op(e3,e1),op(e3,e1)))
      & e2 = op(op(e3,e1),op(e3,e1))
      & e0 = op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
      & e5 = op(e3,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f4656,plain,
    ~ spl0_433,
    inference(avatar_split_clause,[],[f2012,f4653]) ).

fof(f4653,plain,
    ( spl0_433
  <=> op(e2,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f2012,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4651,plain,
    ~ spl0_432,
    inference(avatar_split_clause,[],[f1908,f4648]) ).

fof(f4648,plain,
    ( spl0_432
  <=> op(e2,e4) = op(e2,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f1908,plain,
    op(e2,e4) != op(e2,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4646,plain,
    ( ~ spl0_341
    | ~ spl0_431
    | ~ spl0_171
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f2698,f4231,f3454,f4643,f4223]) ).

fof(f2698,plain,
    ( e0 != op(op(e5,e3),op(e5,e3))
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e1 != op(e5,e3)
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(cnf_transformation,[],[f1243]) ).

fof(f1243,plain,
    ( e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e0 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,e3)
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f314]) ).

fof(f314,axiom,
    ~ ( e4 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e1 = op(e5,e3)
      & e0 = op(op(e5,e3),op(e5,e3))
      & e2 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax314) ).

fof(f4641,plain,
    ~ spl0_430,
    inference(avatar_split_clause,[],[f1928,f4638]) ).

fof(f4638,plain,
    ( spl0_430
  <=> op(e2,e1) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f1928,plain,
    op(e2,e1) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4636,plain,
    spl0_429,
    inference(avatar_split_clause,[],[f2176,f4633]) ).

fof(f4633,plain,
    ( spl0_429
  <=> op(op(e0,e2),e2) = op(e0,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f2176,plain,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4631,plain,
    ~ spl0_428,
    inference(avatar_split_clause,[],[f1983,f4628]) ).

fof(f4628,plain,
    ( spl0_428
  <=> op(e0,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f1983,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4626,plain,
    ( ~ spl0_354
    | ~ spl0_427
    | ~ spl0_227
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f1646,f3697,f3701,f4623,f4282]) ).

fof(f1646,plain,
    ( e2 != op(e0,e5)
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e4 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f1316]) ).

fof(f1316,plain,
    ( e4 != op(op(e0,e5),op(e0,e5))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,e5)
    | e1 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f477]) ).

fof(f477,axiom,
    ~ ( e2 = op(e0,e5)
      & e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e1 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e4 = op(op(e0,e5),op(e0,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax477) ).

fof(f4621,plain,
    spl0_426,
    inference(avatar_split_clause,[],[f1505,f4618]) ).

fof(f4618,plain,
    ( spl0_426
  <=> unit = op(e4,inv(e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f1505,plain,
    unit = op(e4,inv(e4)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4616,plain,
    ( ~ spl0_424
    | ~ spl0_199
    | ~ spl0_425
    | ~ spl0_337 ),
    inference(avatar_split_clause,[],[f2420,f4205,f4613,f3574,f4609]) ).

fof(f2420,plain,
    ( e3 != op(op(e1,e5),op(e1,e5))
    | e0 != op(e1,e5)
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f1269]) ).

fof(f1269,plain,
    ( e3 != op(op(e1,e5),op(e1,e5))
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,e5)
    | e2 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f601]) ).

fof(f601,axiom,
    ~ ( e0 = op(e1,e5)
      & e2 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e3 = op(op(e1,e5),op(e1,e5))
      & e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax601) ).

fof(f4607,plain,
    ( ~ spl0_423
    | ~ spl0_353
    | ~ spl0_354
    | ~ spl0_403 ),
    inference(avatar_split_clause,[],[f1587,f4510,f4282,f4278,f4604]) ).

fof(f1587,plain,
    ( e3 != op(e0,e5)
    | e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e2 != op(op(e0,e5),op(e0,e5))
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(cnf_transformation,[],[f1345]) ).

fof(f1345,plain,
    ( e3 != op(e0,e5)
    | e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e4 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(op(e0,e5),op(e0,e5)) ),
    inference(ennf_transformation,[],[f599]) ).

fof(f599,axiom,
    ~ ( e2 = op(op(e0,e5),op(e0,e5))
      & e1 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e3 = op(e0,e5)
      & e4 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax599) ).

fof(f4602,plain,
    ( ~ spl0_408
    | ~ spl0_356
    | ~ spl0_358
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f1535,f4537,f4300,f4292,f4533]) ).

fof(f1535,plain,
    ( e0 != op(e5,e2)
    | e1 != op(op(e5,e2),op(e5,e2))
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f990]) ).

fof(f990,plain,
    ( e1 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,e2)
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(ennf_transformation,[],[f552]) ).

fof(f552,axiom,
    ~ ( e4 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e0 = op(e5,e2)
      & e3 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(op(e5,e2),op(e5,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax552) ).

fof(f4601,plain,
    ~ spl0_422,
    inference(avatar_split_clause,[],[f2452,f4598]) ).

fof(f4598,plain,
    ( spl0_422
  <=> e2 = e5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f2452,plain,
    e2 != e5,
    inference(cnf_transformation,[],[f10]) ).

fof(f4596,plain,
    ( ~ spl0_419
    | ~ spl0_420
    | ~ spl0_240
    | ~ spl0_421 ),
    inference(avatar_split_clause,[],[f2358,f4593,f3761,f4589,f4585]) ).

fof(f2358,plain,
    ( e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e3 != op(e0,e2)
    | e5 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1338]) ).

fof(f1338,plain,
    ( e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(op(e0,e2),op(e0,e2))
    | e1 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e3 != op(e0,e2) ),
    inference(ennf_transformation,[],[f171]) ).

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

fof(f4583,plain,
    ( ~ spl0_417
    | ~ spl0_143
    | ~ spl0_418
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f1847,f4055,f4580,f3329,f4576]) ).

fof(f1847,plain,
    ( e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e2 != op(e3,e5)
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(op(e3,e5),op(e3,e5)) ),
    inference(cnf_transformation,[],[f1128]) ).

fof(f1128,plain,
    ( e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e2 != op(e3,e5)
    | e1 != op(op(e3,e5),op(e3,e5))
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f590]) ).

fof(f590,axiom,
    ~ ( e2 = op(e3,e5)
      & e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e0 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e1 = op(op(e3,e5),op(e3,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax590) ).

fof(f4574,plain,
    ( ~ spl0_316
    | ~ spl0_416
    | ~ spl0_365
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2416,f3173,f4333,f4571,f4105]) ).

fof(f2416,plain,
    ( e1 != op(e5,e4)
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e3 != op(op(e5,e4),op(e5,e4)) ),
    inference(cnf_transformation,[],[f1268]) ).

fof(f1268,plain,
    ( e1 != op(e5,e4)
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f324]) ).

fof(f324,axiom,
    ~ ( e1 = op(e5,e4)
      & e3 = op(op(e5,e4),op(e5,e4))
      & e2 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e0 = op(e5,op(op(e5,e4),op(e5,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax324) ).

fof(f4569,plain,
    ( ~ spl0_415
    | ~ spl0_264
    | ~ spl0_316
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2379,f3177,f4105,f3868,f4566]) ).

fof(f2379,plain,
    ( e2 != op(e5,e4)
    | e3 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f1086]) ).

fof(f1086,plain,
    ( e0 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,e4)
    | e3 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ~ ( e3 = op(op(e5,e4),op(e5,e4))
      & e1 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e2 = op(e5,e4)
      & e0 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f4564,plain,
    spl0_414,
    inference(avatar_split_clause,[],[f2187,f4561]) ).

fof(f4561,plain,
    ( spl0_414
  <=> op(op(e0,e4),e5) = op(e0,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f2187,plain,
    op(op(e0,e4),e5) = op(e0,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4559,plain,
    ( ~ spl0_387
    | ~ spl0_413
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1714,f2820,f2816,f4556,f4437]) ).

fof(f1714,plain,
    ( e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(op(e4,e5),op(e4,e5))
    | e0 != op(e4,e5) ),
    inference(cnf_transformation,[],[f818]) ).

fof(f818,plain,
    ( e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(e4,e5)
    | e3 != op(op(e4,e5),op(e4,e5))
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(ennf_transformation,[],[f354]) ).

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

fof(f4554,plain,
    spl0_412,
    inference(avatar_split_clause,[],[f2156,f4551]) ).

fof(f4551,plain,
    ( spl0_412
  <=> op(op(e0,e1),e4) = op(e0,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f2156,plain,
    op(op(e0,e1),e4) = op(e0,op(e1,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4549,plain,
    ( ~ spl0_311
    | ~ spl0_411
    | ~ spl0_342
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f2423,f4223,f4227,f4546,f4082]) ).

fof(f2423,plain,
    ( e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(e5,e3)
    | e1 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(cnf_transformation,[],[f1089]) ).

fof(f1089,plain,
    ( e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(op(e5,e3),op(e5,e3))
    | e4 != op(e5,e3)
    | e0 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(ennf_transformation,[],[f302]) ).

fof(f302,axiom,
    ~ ( e2 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(e5,e3)
      & e0 = op(e5,op(op(e5,e3),op(e5,e3)))
      & e1 = op(op(e5,e3),op(e5,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax302) ).

fof(f4544,plain,
    ( ~ spl0_408
    | ~ spl0_409
    | ~ spl0_410
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f2610,f2877,f4541,f4537,f4533]) ).

fof(f2610,plain,
    ( e4 != op(op(e5,e2),op(e5,e2))
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e0 != op(e5,e2)
    | e3 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f886]) ).

fof(f886,plain,
    ( e3 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e0 != op(e5,e2)
    | e1 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(op(e5,e2),op(e5,e2)) ),
    inference(ennf_transformation,[],[f162]) ).

fof(f162,axiom,
    ~ ( e3 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e4 = op(op(e5,e2),op(e5,e2))
      & e0 = op(e5,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).

fof(f4531,plain,
    ( ~ spl0_406
    | ~ spl0_85
    | ~ spl0_407
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f2690,f3971,f4528,f3074,f4524]) ).

fof(f2690,plain,
    ( e0 != op(e1,e2)
    | e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(op(e1,e2),op(e1,e2))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    inference(cnf_transformation,[],[f1116]) ).

fof(f1116,plain,
    ( e5 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e4 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e0 != op(e1,e2)
    | e3 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f559]) ).

fof(f559,axiom,
    ~ ( e3 = op(op(e1,e2),op(e1,e2))
      & e5 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e0 = op(e1,e2)
      & e4 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax559) ).

fof(f4522,plain,
    spl0_405,
    inference(avatar_split_clause,[],[f2261,f4519]) ).

fof(f4519,plain,
    ( spl0_405
  <=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f2261,plain,
    op(op(e1,e2),e3) = op(e1,op(e2,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4517,plain,
    ( ~ spl0_225
    | ~ spl0_403
    | ~ spl0_404
    | ~ spl0_353 ),
    inference(avatar_split_clause,[],[f1718,f4278,f4514,f4510,f3693]) ).

fof(f1718,plain,
    ( e2 != op(op(e0,e5),op(e0,e5))
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e3 != op(e0,e5)
    | e4 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(cnf_transformation,[],[f977]) ).

fof(f977,plain,
    ( e2 != op(op(e0,e5),op(e0,e5))
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e3 != op(e0,e5)
    | e1 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(ennf_transformation,[],[f251]) ).

fof(f251,axiom,
    ~ ( e1 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e2 = op(op(e0,e5),op(e0,e5))
      & e4 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e3 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax251) ).

fof(f4508,plain,
    ( ~ spl0_401
    | ~ spl0_368
    | ~ spl0_402
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f2658,f4342,f4505,f4346,f4501]) ).

fof(f2658,plain,
    ( e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,e3)
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f829]) ).

fof(f829,plain,
    ( e0 != op(e2,e3)
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f571]) ).

fof(f571,axiom,
    ~ ( e1 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e4 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e0 = op(e2,e3)
      & e5 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax571) ).

fof(f4499,plain,
    ( ~ spl0_398
    | ~ spl0_298
    | ~ spl0_399
    | ~ spl0_400 ),
    inference(avatar_split_clause,[],[f2390,f4496,f4492,f4025,f4488]) ).

fof(f2390,plain,
    ( e0 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,e1)
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1209]) ).

fof(f1209,plain,
    ( e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e0 != op(op(e4,e1),op(e4,e1))
    | e3 != op(e4,e1) ),
    inference(ennf_transformation,[],[f644]) ).

fof(f644,axiom,
    ~ ( e0 = op(op(e4,e1),op(e4,e1))
      & e3 = op(e4,e1)
      & e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e2 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax644) ).

fof(f4486,plain,
    ( ~ spl0_396
    | ~ spl0_397
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f2648,f4346,f4338,f4483,f4479]) ).

fof(f2648,plain,
    ( e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e5 != op(e2,e3)
    | e4 != op(op(e2,e3),op(e2,e3))
    | e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f1234]) ).

fof(f1234,plain,
    ( e0 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,e3)
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f65]) ).

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

fof(f4477,plain,
    ( spl0_394
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f1686,f4474,f4470]) ).

fof(f1686,plain,
    ( e0 != inv(e5)
    | e5 = inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f4468,plain,
    ~ spl0_393,
    inference(avatar_split_clause,[],[f2039,f4465]) ).

fof(f4465,plain,
    ( spl0_393
  <=> op(e5,e2) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f2039,plain,
    op(e5,e2) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4463,plain,
    ~ spl0_392,
    inference(avatar_split_clause,[],[f1903,f4460]) ).

fof(f4460,plain,
    ( spl0_392
  <=> op(e2,e2) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f1903,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4458,plain,
    ( ~ spl0_101
    | ~ spl0_372
    | ~ spl0_391
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2597,f3148,f4455,f4364,f3144]) ).

fof(f2597,plain,
    ( e2 != op(op(e1,e3),op(e1,e3))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e4 != op(e1,e3)
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3)))) ),
    inference(cnf_transformation,[],[f1396]) ).

fof(f1396,plain,
    ( e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e4 != op(e1,e3) ),
    inference(ennf_transformation,[],[f83]) ).

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

fof(f4453,plain,
    ~ spl0_390,
    inference(avatar_split_clause,[],[f1881,f4450]) ).

fof(f4450,plain,
    ( spl0_390
  <=> op(e5,e0) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f1881,plain,
    op(e5,e0) != op(e5,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f4448,plain,
    ( ~ spl0_27
    | ~ spl0_387
    | ~ spl0_388
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f1576,f4445,f4441,f4437,f2820]) ).

fof(f1576,plain,
    ( e1 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(e4,e5)
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    inference(cnf_transformation,[],[f1043]) ).

fof(f1043,plain,
    ( e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(op(e4,e5),op(e4,e5))
    | e0 != op(e4,e5) ),
    inference(ennf_transformation,[],[f360]) ).

fof(f360,axiom,
    ~ ( e0 = op(e4,e5)
      & e3 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e1 = op(op(e4,e5),op(e4,e5))
      & e2 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax360) ).

fof(f4435,plain,
    ~ spl0_386,
    inference(avatar_split_clause,[],[f1952,f4432]) ).

fof(f4432,plain,
    ( spl0_386
  <=> op(e2,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f1952,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4430,plain,
    ~ spl0_385,
    inference(avatar_split_clause,[],[f2030,f4427]) ).

fof(f4427,plain,
    ( spl0_385
  <=> op(e1,e2) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f2030,plain,
    op(e1,e2) != op(e5,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f4425,plain,
    spl0_384,
    inference(avatar_split_clause,[],[f2233,f4422]) ).

fof(f4422,plain,
    ( spl0_384
  <=> op(op(e4,e4),e4) = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f2233,plain,
    op(op(e4,e4),e4) = op(e4,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4420,plain,
    ( ~ spl0_367
    | ~ spl0_308
    | ~ spl0_383
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f2478,f4060,f4417,f4068,f4342]) ).

fof(f2478,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(e2,e3)
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f910]) ).

fof(f910,plain,
    ( e0 != op(op(e2,e3),op(e2,e3))
    | e1 != op(e2,e3)
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e5 != op(e2,op(op(e2,e3),op(e2,e3))) ),
    inference(ennf_transformation,[],[f584]) ).

fof(f584,axiom,
    ~ ( e0 = op(op(e2,e3),op(e2,e3))
      & e5 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e4 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
      & e1 = op(e2,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax584) ).

fof(f4415,plain,
    ~ spl0_382,
    inference(avatar_split_clause,[],[f1945,f4412]) ).

fof(f4412,plain,
    ( spl0_382
  <=> op(e1,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f1945,plain,
    op(e1,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4410,plain,
    ( ~ spl0_374
    | ~ spl0_29
    | ~ spl0_380
    | ~ spl0_381 ),
    inference(avatar_split_clause,[],[f1578,f4407,f4403,f2829,f4374]) ).

fof(f1578,plain,
    ( e2 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e1 != op(e3,e4) ),
    inference(cnf_transformation,[],[f866]) ).

fof(f866,plain,
    ( e1 != op(e3,e4)
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(op(e3,e4),op(e3,e4))
    | e5 != op(e3,op(op(e3,e4),op(e3,e4))) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,axiom,
    ~ ( e2 = op(op(e3,e4),op(e3,e4))
      & e1 = op(e3,e4)
      & e5 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e0 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).

fof(f4401,plain,
    ( ~ spl0_77
    | ~ spl0_280
    | ~ spl0_11
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2401,f3035,f2751,f3942,f3039]) ).

fof(f2401,plain,
    ( e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e3 != op(e2,e1)
    | e4 != op(op(e2,e1),op(e2,e1))
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(cnf_transformation,[],[f955]) ).

fof(f955,plain,
    ( e4 != op(op(e2,e1),op(e2,e1))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,e1) ),
    inference(ennf_transformation,[],[f639]) ).

fof(f639,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e0 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e4 = op(op(e2,e1),op(e2,e1))
      & e3 = op(e2,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax639) ).

fof(f4400,plain,
    ~ spl0_379,
    inference(avatar_split_clause,[],[f1602,f4397]) ).

fof(f4397,plain,
    ( spl0_379
  <=> inv(e1) = inv(e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f1602,plain,
    inv(e1) != inv(e4),
    inference(cnf_transformation,[],[f8]) ).

fof(f4395,plain,
    ( ~ spl0_4
    | ~ spl0_246
    | ~ spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1545,f2707,f2798,f3789,f2719]) ).

fof(f1545,plain,
    ( e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(e0,e3)
    | e4 != op(op(e0,e3),op(e0,e3)) ),
    inference(cnf_transformation,[],[f1290]) ).

fof(f1290,plain,
    ( e4 != op(op(e0,e3),op(e0,e3))
    | e1 != op(e0,e3)
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(ennf_transformation,[],[f699]) ).

fof(f699,axiom,
    ~ ( e1 = op(e0,e3)
      & e4 = op(op(e0,e3),op(e0,e3))
      & e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e2 = op(e0,op(op(e0,e3),op(e0,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax699) ).

fof(f4394,plain,
    ( ~ spl0_340
    | ~ spl0_111
    | ~ spl0_205
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f2329,f3610,f3602,f3187,f4218]) ).

fof(f2329,plain,
    ( e3 != op(op(e5,e1),op(e5,e1))
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(e5,e1)
    | e2 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(cnf_transformation,[],[f981]) ).

fof(f981,plain,
    ( e4 != op(e5,e1)
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(op(e5,e1),op(e5,e1)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e4 = op(e5,e1)
      & e2 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e0 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e3 = op(op(e5,e1),op(e5,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f4393,plain,
    ( spl0_374
    | spl0_375
    | spl0_376
    | spl0_377
    | spl0_378
    | spl0_28 ),
    inference(avatar_split_clause,[],[f1754,f2825,f4390,f4386,f4382,f4378,f4374]) ).

fof(f4382,plain,
    ( spl0_376
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f4386,plain,
    ( spl0_377
  <=> e4 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f1754,plain,
    ( e2 = op(e3,e4)
    | e0 = op(e3,e4)
    | e4 = op(e3,e4)
    | e3 = op(e3,e4)
    | e5 = op(e3,e4)
    | e1 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4372,plain,
    ~ spl0_373,
    inference(avatar_split_clause,[],[f1982,f4369]) ).

fof(f4369,plain,
    ( spl0_373
  <=> op(e5,e1) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f1982,plain,
    op(e5,e1) != op(e5,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4367,plain,
    ( spl0_369
    | spl0_100
    | spl0_370
    | spl0_371
    | spl0_241
    | spl0_372 ),
    inference(avatar_split_clause,[],[f1736,f4364,f3766,f4360,f4356,f3140,f4352]) ).

fof(f4352,plain,
    ( spl0_369
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f4360,plain,
    ( spl0_371
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f1736,plain,
    ( e4 = op(e1,e3)
    | e0 = op(e1,e3)
    | e1 = op(e1,e3)
    | e2 = op(e1,e3)
    | e5 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f4350,plain,
    ( ~ spl0_268
    | ~ spl0_182
    | ~ spl0_79
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f2635,f3637,f3048,f3501,f3886]) ).

fof(f2635,plain,
    ( e2 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(e0,e4)
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(cnf_transformation,[],[f1341]) ).

fof(f1341,plain,
    ( e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,e4),op(e0,e4))
    | e3 != op(e0,e4)
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(ennf_transformation,[],[f719]) ).

fof(f719,axiom,
    ~ ( e1 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e2 = op(op(e0,e4),op(e0,e4))
      & e3 = op(e0,e4)
      & e5 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax719) ).

fof(f4349,plain,
    ( ~ spl0_366
    | ~ spl0_306
    | ~ spl0_367
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f1816,f4346,f4342,f4060,f4338]) ).

fof(f1816,plain,
    ( e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(op(e2,e3),op(e2,e3))
    | e5 != op(e2,e3) ),
    inference(cnf_transformation,[],[f1132]) ).

fof(f1132,plain,
    ( e5 != op(e2,e3)
    | e4 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f574]) ).

fof(f574,axiom,
    ~ ( e0 = op(op(e2,e3),op(e2,e3))
      & e5 = op(e2,e3)
      & e1 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e4 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax574) ).

fof(f4336,plain,
    ( ~ spl0_265
    | ~ spl0_264
    | ~ spl0_365
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1831,f3165,f4333,f3868,f3872]) ).

fof(f1831,plain,
    ( e3 != op(e5,e4)
    | e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e0 != op(op(e5,e4),op(e5,e4)) ),
    inference(cnf_transformation,[],[f1035]) ).

fof(f1035,plain,
    ( e2 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e0 != op(op(e5,e4),op(e5,e4))
    | e3 != op(e5,e4)
    | e1 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f332]) ).

fof(f332,axiom,
    ~ ( e1 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e0 = op(op(e5,e4),op(e5,e4))
      & e3 = op(e5,e4)
      & e2 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax332) ).

fof(f4331,plain,
    ( ~ spl0_362
    | ~ spl0_363
    | ~ spl0_364
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2049,f3475,f4328,f4324,f4320]) ).

fof(f2049,plain,
    ( e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(e3,e2)
    | e0 != op(op(e3,e2),op(e3,e2))
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    inference(cnf_transformation,[],[f855]) ).

fof(f855,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e5 != op(e3,e2)
    | e4 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(ennf_transformation,[],[f550]) ).

fof(f550,axiom,
    ~ ( e0 = op(op(e3,e2),op(e3,e2))
      & e1 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e4 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e5 = op(e3,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax550) ).

fof(f4318,plain,
    spl0_361,
    inference(avatar_split_clause,[],[f2321,f4315]) ).

fof(f4315,plain,
    ( spl0_361
  <=> op(op(e2,e1),e5) = op(e2,op(e1,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f2321,plain,
    op(op(e2,e1),e5) = op(e2,op(e1,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4313,plain,
    ( ~ spl0_317
    | ~ spl0_14
    | ~ spl0_275
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f1659,f4310,f3918,f2764,f4110]) ).

fof(f1659,plain,
    ( e4 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(e3,e0)
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f764]) ).

fof(f764,plain,
    ( e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(e3,e0)
    | e4 != op(op(e3,e0),op(e3,e0))
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(ennf_transformation,[],[f257]) ).

fof(f257,axiom,
    ~ ( e2 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e1 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e4 = op(op(e3,e0),op(e3,e0))
      & e5 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax257) ).

fof(f4308,plain,
    ( ~ spl0_49
    | ~ spl0_359
    | ~ spl0_71
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2579,f3001,f3013,f4305,f2916]) ).

fof(f2579,plain,
    ( e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e4 != op(op(e2,e0),op(e2,e0))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e1 != op(e2,e0) ),
    inference(cnf_transformation,[],[f771]) ).

fof(f771,plain,
    ( e1 != op(e2,e0)
    | e4 != op(op(e2,e0),op(e2,e0))
    | e3 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(ennf_transformation,[],[f625]) ).

fof(f625,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e1 = op(e2,e0)
      & e4 = op(op(e2,e0),op(e2,e0))
      & e3 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax625) ).

fof(f4303,plain,
    ( ~ spl0_356
    | ~ spl0_357
    | ~ spl0_39
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f1829,f4300,f2873,f4296,f4292]) ).

fof(f1829,plain,
    ( e1 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e3 != op(e5,e2)
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(cnf_transformation,[],[f1048]) ).

fof(f1048,plain,
    ( e3 != op(e5,e2)
    | e1 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    inference(ennf_transformation,[],[f542]) ).

fof(f542,axiom,
    ~ ( e3 = op(e5,e2)
      & e0 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(op(e5,e2),op(e5,e2))
      & e4 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax542) ).

fof(f4290,plain,
    ~ spl0_355,
    inference(avatar_split_clause,[],[f1939,f4287]) ).

fof(f4287,plain,
    ( spl0_355
  <=> op(e1,e5) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f1939,plain,
    op(e1,e5) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4285,plain,
    ( ~ spl0_353
    | ~ spl0_227
    | ~ spl0_354
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f1861,f3877,f4282,f3701,f4278]) ).

fof(f1861,plain,
    ( e4 != op(e0,e5)
    | e1 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(op(e0,e5),op(e0,e5)) ),
    inference(cnf_transformation,[],[f1204]) ).

fof(f1204,plain,
    ( e4 != op(e0,e5)
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(op(e0,e5),op(e0,e5))
    | e1 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f479]) ).

fof(f479,axiom,
    ~ ( e4 = op(e0,e5)
      & e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e1 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e2 = op(op(e0,e5),op(e0,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax479) ).

fof(f4276,plain,
    ( ~ spl0_351
    | ~ spl0_300
    | ~ spl0_297
    | ~ spl0_352 ),
    inference(avatar_split_clause,[],[f1583,f4273,f4021,f4033,f4269]) ).

fof(f1583,plain,
    ( e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e5 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(cnf_transformation,[],[f1427]) ).

fof(f1427,plain,
    ( e0 != op(e4,e1)
    | e2 != op(op(e4,e1),op(e4,e1))
    | e3 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e5 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f414]) ).

fof(f414,axiom,
    ~ ( e0 = op(e4,e1)
      & e3 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e2 = op(op(e4,e1),op(e4,e1))
      & e5 = op(e4,op(op(e4,e1),op(e4,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax414) ).

fof(f4267,plain,
    ~ spl0_350,
    inference(avatar_split_clause,[],[f2021,f4264]) ).

fof(f4264,plain,
    ( spl0_350
  <=> op(e5,e1) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f2021,plain,
    op(e5,e1) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4262,plain,
    ( ~ spl0_25
    | ~ spl0_24
    | ~ spl0_348
    | ~ spl0_349 ),
    inference(avatar_split_clause,[],[f2486,f4259,f4255,f2808,f2812]) ).

fof(f2486,plain,
    ( e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,e5)
    | e0 != op(op(e4,e5),op(e4,e5)) ),
    inference(cnf_transformation,[],[f973]) ).

fof(f973,plain,
    ( e1 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e2 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e3 != op(e4,e5)
    | e0 != op(op(e4,e5),op(e4,e5)) ),
    inference(ennf_transformation,[],[f236]) ).

fof(f236,axiom,
    ~ ( e2 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e1 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
      & e3 = op(e4,e5)
      & e0 = op(op(e4,e5),op(e4,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax236) ).

fof(f4253,plain,
    ~ spl0_347,
    inference(avatar_split_clause,[],[f1601,f4250]) ).

fof(f4250,plain,
    ( spl0_347
  <=> inv(e4) = inv(e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f1601,plain,
    inv(e4) != inv(e5),
    inference(cnf_transformation,[],[f8]) ).

fof(f4248,plain,
    ( spl0_345
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f1685,f4245,f4241]) ).

fof(f1685,plain,
    ( e5 != inv(e1)
    | e1 = inv(e5) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f4239,plain,
    spl0_344,
    inference(avatar_split_clause,[],[f2205,f4236]) ).

fof(f4236,plain,
    ( spl0_344
  <=> op(op(e0,e4),e4) = op(e0,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f2205,plain,
    op(op(e0,e4),e4) = op(e0,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4234,plain,
    ( ~ spl0_292
    | ~ spl0_341
    | ~ spl0_342
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f2375,f4231,f4227,f4223,f3997]) ).

fof(f2375,plain,
    ( e0 != op(op(e5,e3),op(e5,e3))
    | e4 != op(e5,e3)
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(e5,op(op(e5,e3),op(e5,e3))) ),
    inference(cnf_transformation,[],[f1115]) ).

fof(f1115,plain,
    ( e4 != op(e5,e3)
    | e0 != op(op(e5,e3),op(e5,e3))
    | e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f308]) ).

fof(f308,axiom,
    ~ ( e2 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(e5,e3)
      & e0 = op(op(e5,e3),op(e5,e3))
      & e1 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax308) ).

fof(f4221,plain,
    ( ~ spl0_338
    | ~ spl0_207
    | ~ spl0_339
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f1589,f4218,f4214,f3610,f4210]) ).

fof(f1589,plain,
    ( e2 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e3 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1349]) ).

fof(f1349,plain,
    ( e3 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,e1)
    | e4 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(ennf_transformation,[],[f522]) ).

fof(f522,axiom,
    ~ ( e4 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e3 = op(op(e5,e1),op(e5,e1))
      & e0 = op(e5,e1)
      & e2 = op(e5,op(op(e5,e1),op(e5,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax522) ).

fof(f4208,plain,
    ( ~ spl0_119
    | ~ spl0_337
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2383,f3233,f2899,f4205,f3221]) ).

fof(f2383,plain,
    ( e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1046]) ).

fof(f1046,plain,
    ( e4 != op(e1,e5)
    | e3 != op(op(e1,e5),op(e1,e5))
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f353]) ).

fof(f353,axiom,
    ~ ( e4 = op(e1,e5)
      & e3 = op(op(e1,e5),op(e1,e5))
      & e0 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax353) ).

fof(f4203,plain,
    ~ spl0_336,
    inference(avatar_split_clause,[],[f1882,f4200]) ).

fof(f4200,plain,
    ( spl0_336
  <=> op(e3,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f1882,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f4198,plain,
    ~ spl0_335,
    inference(avatar_split_clause,[],[f1874,f4195]) ).

fof(f4195,plain,
    ( spl0_335
  <=> op(e1,e1) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f1874,plain,
    op(e1,e1) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4193,plain,
    spl0_334,
    inference(avatar_split_clause,[],[f2155,f4190]) ).

fof(f4190,plain,
    ( spl0_334
  <=> op(op(e1,e3),e5) = op(e1,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f2155,plain,
    op(op(e1,e3),e5) = op(e1,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4188,plain,
    ~ spl0_333,
    inference(avatar_split_clause,[],[f1917,f4185]) ).

fof(f4185,plain,
    ( spl0_333
  <=> op(e5,e4) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f1917,plain,
    op(e5,e4) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4183,plain,
    ( ~ spl0_176
    | ~ spl0_330
    | ~ spl0_331
    | ~ spl0_332 ),
    inference(avatar_split_clause,[],[f1712,f4180,f4176,f4172,f3475]) ).

fof(f1712,plain,
    ( e0 != op(e3,e2)
    | e4 != op(op(e3,e2),op(e3,e2))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,op(op(e3,e2),op(e3,e2))) ),
    inference(cnf_transformation,[],[f1192]) ).

fof(f1192,plain,
    ( e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e4 != op(op(e3,e2),op(e3,e2))
    | e5 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e0 != op(e3,e2) ),
    inference(ennf_transformation,[],[f667]) ).

fof(f667,axiom,
    ~ ( e1 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e5 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
      & e0 = op(e3,e2)
      & e4 = op(op(e3,e2),op(e3,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax667) ).

fof(f4170,plain,
    ~ spl0_329,
    inference(avatar_split_clause,[],[f1871,f4167]) ).

fof(f4167,plain,
    ( spl0_329
  <=> op(e3,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f1871,plain,
    op(e3,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4165,plain,
    ( ~ spl0_325
    | ~ spl0_326
    | ~ spl0_327
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f1791,f4162,f4158,f4154,f4150]) ).

fof(f1791,plain,
    ( e0 != op(e4,e2)
    | e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e3 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(cnf_transformation,[],[f794]) ).

fof(f794,plain,
    ( e5 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e0 != op(e4,e2)
    | e1 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e3 != op(op(e4,e2),op(e4,e2)) ),
    inference(ennf_transformation,[],[f666]) ).

fof(f666,axiom,
    ~ ( e1 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e3 = op(op(e4,e2),op(e4,e2))
      & e0 = op(e4,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax666) ).

fof(f4148,plain,
    ( ~ spl0_118
    | ~ spl0_116
    | ~ spl0_323
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f1630,f4145,f4141,f3208,f3216]) ).

fof(f1630,plain,
    ( e1 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,e0) ),
    inference(cnf_transformation,[],[f813]) ).

fof(f813,plain,
    ( e2 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(op(e5,e0),op(e5,e0))
    | e4 != op(e5,e0)
    | e1 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(ennf_transformation,[],[f254]) ).

fof(f254,axiom,
    ~ ( e3 = op(op(e5,e0),op(e5,e0))
      & e1 = op(e5,op(op(e5,e0),op(e5,e0)))
      & e2 = op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
      & e4 = op(e5,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax254) ).

fof(f4139,plain,
    ( ~ spl0_205
    | ~ spl0_111
    | ~ spl0_322
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1472,f3199,f4136,f3187,f3602]) ).

fof(f1472,plain,
    ( e2 != op(op(e5,e1),op(e5,e1))
    | e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e4 != op(e5,e1)
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(cnf_transformation,[],[f1261]) ).

fof(f1261,plain,
    ( e3 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,e1) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f4134,plain,
    ( ~ spl0_280
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f2479,f3807,f2742,f2751,f3942]) ).

fof(f2479,plain,
    ( e5 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,e1)
    | e4 != op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f987]) ).

fof(f987,plain,
    ( e4 != op(op(e2,e1),op(e2,e1))
    | e3 != op(e2,e1)
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ~ ( e5 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(e2,e1)
      & e4 = op(op(e2,e1),op(e2,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(f4133,plain,
    spl0_321,
    inference(avatar_split_clause,[],[f2115,f4130]) ).

fof(f4130,plain,
    ( spl0_321
  <=> op(op(e4,e3),e3) = op(e4,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f2115,plain,
    op(op(e4,e3),e3) = op(e4,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4128,plain,
    spl0_320,
    inference(avatar_split_clause,[],[f2226,f4125]) ).

fof(f4125,plain,
    ( spl0_320
  <=> op(op(e4,e5),e5) = op(e4,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f2226,plain,
    op(op(e4,e5),e5) = op(e4,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4123,plain,
    spl0_319,
    inference(avatar_split_clause,[],[f2523,f4120]) ).

fof(f4120,plain,
    ( spl0_319
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f2523,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f4118,plain,
    ( ~ spl0_64
    | ~ spl0_318
    | ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2085,f2947,f2943,f4115,f2981]) ).

fof(f2085,plain,
    ( e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e5 != op(e4,e3)
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f763]) ).

fof(f763,plain,
    ( e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,e3)
    | e2 != op(op(e4,e3),op(e4,e3)) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ~ ( e2 = op(op(e4,e3),op(e4,e3))
      & e1 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e5 = op(e4,e3)
      & e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f4113,plain,
    ( ~ spl0_210
    | ~ spl0_278
    | ~ spl0_317
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2543,f2760,f4110,f3933,f3623]) ).

fof(f2543,plain,
    ( e4 != op(e3,e0)
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f1236]) ).

fof(f1236,plain,
    ( e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(op(e3,e0),op(e3,e0))
    | e2 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,e0) ),
    inference(ennf_transformation,[],[f274]) ).

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

fof(f4108,plain,
    ( ~ spl0_314
    | ~ spl0_315
    | ~ spl0_104
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f2467,f4105,f3157,f4101,f4097]) ).

fof(f2467,plain,
    ( e3 != op(op(e5,e4),op(e5,e4))
    | e0 != op(e5,e4)
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(cnf_transformation,[],[f1358]) ).

fof(f1358,plain,
    ( e0 != op(e5,e4)
    | e2 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e1 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e3 != op(op(e5,e4),op(e5,e4)) ),
    inference(ennf_transformation,[],[f210]) ).

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

fof(f4095,plain,
    spl0_313,
    inference(avatar_split_clause,[],[f1510,f4092]) ).

fof(f4092,plain,
    ( spl0_313
  <=> unit = op(inv(e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f1510,plain,
    unit = op(inv(e0),e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4090,plain,
    spl0_312,
    inference(avatar_split_clause,[],[f2190,f4087]) ).

fof(f4087,plain,
    ( spl0_312
  <=> op(op(e5,e4),e4) = op(e5,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f2190,plain,
    op(op(e5,e4),e4) = op(e5,op(e4,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f4085,plain,
    ( ~ spl0_309
    | ~ spl0_310
    | ~ spl0_311
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1645,f3458,f4082,f4078,f4074]) ).

fof(f1645,plain,
    ( e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(e5,e3)
    | e4 != op(op(e5,e3),op(e5,e3)) ),
    inference(cnf_transformation,[],[f1106]) ).

fof(f1106,plain,
    ( e2 != op(e5,e3)
    | e4 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f180]) ).

fof(f180,axiom,
    ~ ( e2 = op(e5,e3)
      & e1 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e4 = op(op(e5,e3),op(e5,e3))
      & e0 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax180) ).

fof(f4072,plain,
    ( ~ spl0_45
    | ~ spl0_119
    | ~ spl0_47
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f1853,f3566,f2907,f3221,f2899]) ).

fof(f1853,plain,
    ( e2 != op(op(e1,e5),op(e1,e5))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e4 != op(e1,e5)
    | e0 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(cnf_transformation,[],[f1283]) ).

fof(f1283,plain,
    ( e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,e5) ),
    inference(ennf_transformation,[],[f473]) ).

fof(f473,axiom,
    ~ ( e2 = op(op(e1,e5),op(e1,e5))
      & e4 = op(e1,e5)
      & e3 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e0 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax473) ).

fof(f4071,plain,
    ( ~ spl0_93
    | ~ spl0_306
    | ~ spl0_307
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f2062,f4068,f4064,f4060,f3110]) ).

fof(f2062,plain,
    ( e1 != op(e2,e3)
    | e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,e3),op(e2,e3))
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    inference(cnf_transformation,[],[f1024]) ).

fof(f1024,plain,
    ( e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(e2,e3)
    | e4 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e0 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f704]) ).

fof(f704,axiom,
    ~ ( e1 = op(e2,e3)
      & e4 = op(e2,op(op(e2,e3),op(e2,e3)))
      & e0 = op(op(e2,e3),op(e2,e3))
      & e5 = op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax704) ).

fof(f4058,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_304
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f2654,f4055,f4051,f4047,f4043]) ).

fof(f2654,plain,
    ( e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(op(e3,e5),op(e3,e5))
    | e2 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(e3,e5) ),
    inference(cnf_transformation,[],[f809]) ).

fof(f809,plain,
    ( e1 != op(e3,e5)
    | e4 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
    | e0 != op(op(e3,e5),op(e3,e5))
    | e2 != op(e3,op(op(e3,e5),op(e3,e5))) ),
    inference(ennf_transformation,[],[f602]) ).

fof(f602,axiom,
    ~ ( e1 = op(e3,e5)
      & e0 = op(op(e3,e5),op(e3,e5))
      & e4 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(e3,op(op(e3,e5),op(e3,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax602) ).

fof(f4041,plain,
    ~ spl0_301,
    inference(avatar_split_clause,[],[f1910,f4038]) ).

fof(f4038,plain,
    ( spl0_301
  <=> op(e0,e5) = op(e5,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f1910,plain,
    op(e0,e5) != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f4036,plain,
    ( ~ spl0_297
    | ~ spl0_298
    | ~ spl0_299
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f1788,f4033,f4029,f4025,f4021]) ).

fof(f1788,plain,
    ( e0 != op(e4,e1)
    | e3 != op(e4,op(op(e4,e1),op(e4,e1)))
    | e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(op(e4,e1),op(e4,e1)) ),
    inference(cnf_transformation,[],[f1327]) ).

fof(f1327,plain,
    ( e5 != op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
    | e2 != op(op(e4,e1),op(e4,e1))
    | e0 != op(e4,e1)
    | e3 != op(e4,op(op(e4,e1),op(e4,e1))) ),
    inference(ennf_transformation,[],[f648]) ).

fof(f648,axiom,
    ~ ( e5 = op(op(e4,op(op(e4,e1),op(e4,e1))),op(e4,op(op(e4,e1),op(e4,e1))))
      & e3 = op(e4,op(op(e4,e1),op(e4,e1)))
      & e2 = op(op(e4,e1),op(e4,e1))
      & e0 = op(e4,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax648) ).

fof(f4019,plain,
    ~ spl0_296,
    inference(avatar_split_clause,[],[f1902,f4016]) ).

fof(f4016,plain,
    ( spl0_296
  <=> op(e1,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f1902,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f4014,plain,
    spl0_295,
    inference(avatar_split_clause,[],[f2519,f4011]) ).

fof(f4011,plain,
    ( spl0_295
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f2519,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f3]) ).

fof(f4009,plain,
    ( spl0_293
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f1682,f4006,f4002]) ).

fof(f1682,plain,
    ( e0 != inv(e4)
    | e4 = inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f4000,plain,
    ( ~ spl0_291
    | ~ spl0_292
    | ~ spl0_173
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2465,f3450,f3462,f3997,f3993]) ).

fof(f2465,plain,
    ( e2 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,e3)
    | e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(cnf_transformation,[],[f1405]) ).

fof(f1405,plain,
    ( e4 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e1 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,e3) ),
    inference(ennf_transformation,[],[f570]) ).

fof(f570,axiom,
    ~ ( e2 = op(op(e5,e3),op(e5,e3))
      & e0 = op(e5,e3)
      & e4 = op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
      & e1 = op(e5,op(op(e5,e3),op(e5,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax570) ).

fof(f3991,plain,
    ( ~ spl0_77
    | ~ spl0_251
    | ~ spl0_12
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1863,f2751,f2755,f3811,f3039]) ).

fof(f1863,plain,
    ( e3 != op(e2,e1)
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,e1),op(e2,e1))
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    inference(cnf_transformation,[],[f937]) ).

fof(f937,plain,
    ( e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e3 != op(e2,e1)
    | e0 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f658]) ).

fof(f658,axiom,
    ~ ( e4 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e5 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(e2,e1)
      & e0 = op(op(e2,e1),op(e2,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax658) ).

fof(f3990,plain,
    ( spl0_286
    | spl0_88
    | spl0_287
    | spl0_288
    | spl0_289
    | spl0_290 ),
    inference(avatar_split_clause,[],[f1722,f3987,f3983,f3979,f3975,f3086,f3971]) ).

fof(f3983,plain,
    ( spl0_289
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f3987,plain,
    ( spl0_290
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f1722,plain,
    ( e1 = op(e1,e2)
    | e2 = op(e1,e2)
    | e3 = op(e1,e2)
    | e4 = op(e1,e2)
    | e5 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f3969,plain,
    spl0_285,
    inference(avatar_split_clause,[],[f2324,f3966]) ).

fof(f3966,plain,
    ( spl0_285
  <=> op(op(e2,e4),e2) = op(e2,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f2324,plain,
    op(op(e2,e4),e2) = op(e2,op(e4,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3964,plain,
    ~ spl0_284,
    inference(avatar_split_clause,[],[f2451,f3961]) ).

fof(f3961,plain,
    ( spl0_284
  <=> e0 = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f2451,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f10]) ).

fof(f3959,plain,
    spl0_283,
    inference(avatar_split_clause,[],[f2194,f3956]) ).

fof(f3956,plain,
    ( spl0_283
  <=> op(op(e5,e1),e0) = op(e5,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f2194,plain,
    op(op(e5,e1),e0) = op(e5,op(e1,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3954,plain,
    ~ spl0_282,
    inference(avatar_split_clause,[],[f2446,f3951]) ).

fof(f3951,plain,
    ( spl0_282
  <=> e2 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f2446,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f10]) ).

fof(f3949,plain,
    ( ~ spl0_280
    | ~ spl0_281
    | ~ spl0_10
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2606,f2742,f2746,f3946,f3942]) ).

fof(f2606,plain,
    ( e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(e2,e1)
    | e4 != op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f1435]) ).

fof(f1435,plain,
    ( e4 != op(op(e2,e1),op(e2,e1))
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(e2,e1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e4 = op(op(e2,e1),op(e2,e1))
      & e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e5 = op(e2,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f3940,plain,
    ( ~ spl0_278
    | ~ spl0_279
    | ~ spl0_15
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f1664,f3910,f2768,f3937,f3933]) ).

fof(f1664,plain,
    ( e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e1 != op(e3,e0)
    | e2 != op(op(e3,e0),op(e3,e0))
    | e5 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(cnf_transformation,[],[f1265]) ).

fof(f1265,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e5 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e1 != op(e3,e0)
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(ennf_transformation,[],[f510]) ).

fof(f510,axiom,
    ~ ( e2 = op(op(e3,e0),op(e3,e0))
      & e4 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e5 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e1 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax510) ).

fof(f3931,plain,
    spl0_277,
    inference(avatar_split_clause,[],[f2253,f3928]) ).

fof(f3928,plain,
    ( spl0_277
  <=> op(op(e0,e3),e2) = op(e0,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f2253,plain,
    op(op(e0,e3),e2) = op(e0,op(e3,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3926,plain,
    spl0_276,
    inference(avatar_split_clause,[],[f2183,f3923]) ).

fof(f3923,plain,
    ( spl0_276
  <=> op(op(e4,e3),e4) = op(e4,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f2183,plain,
    op(op(e4,e3),e4) = op(e4,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3921,plain,
    ( ~ spl0_273
    | ~ spl0_274
    | ~ spl0_275
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2595,f2772,f3918,f3914,f3910]) ).

fof(f2595,plain,
    ( e2 != op(e3,e0)
    | e1 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e5 != op(op(e3,e0),op(e3,e0))
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0)))) ),
    inference(cnf_transformation,[],[f1012]) ).

fof(f1012,plain,
    ( e2 != op(e3,e0)
    | e4 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e5 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(ennf_transformation,[],[f493]) ).

fof(f493,axiom,
    ~ ( e4 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e2 = op(e3,e0)
      & e1 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e5 = op(op(e3,e0),op(e3,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax493) ).

fof(f3908,plain,
    ( spl0_166
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1692,f3435,f3431]) ).

fof(f1692,plain,
    ( e0 != inv(e1)
    | e1 = inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f3907,plain,
    ( ~ spl0_123
    | ~ spl0_271
    | ~ spl0_75
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f1757,f3904,f3030,f3900,f3238]) ).

fof(f1757,plain,
    ( e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(e1,e4)
    | e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f1207]) ).

fof(f1207,plain,
    ( e3 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e2 != op(op(e1,e4),op(e1,e4))
    | e5 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(e1,e4) ),
    inference(ennf_transformation,[],[f463]) ).

fof(f463,axiom,
    ~ ( e2 = op(op(e1,e4),op(e1,e4))
      & e0 = op(e1,e4)
      & e5 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e3 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax463) ).

fof(f3898,plain,
    spl0_270,
    inference(avatar_split_clause,[],[f2249,f3895]) ).

fof(f3895,plain,
    ( spl0_270
  <=> op(op(e0,e1),e1) = op(e0,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f2249,plain,
    op(op(e0,e1),e1) = op(e0,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3893,plain,
    ( ~ spl0_268
    | ~ spl0_182
    | ~ spl0_154
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2561,f3890,f3378,f3501,f3886]) ).

fof(f2561,plain,
    ( e1 != op(op(e0,e4),op(e0,e4))
    | e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(e0,e4)
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(cnf_transformation,[],[f776]) ).

fof(f776,plain,
    ( e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,e4),op(e0,e4))
    | e5 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,e4) ),
    inference(ennf_transformation,[],[f725]) ).

fof(f725,axiom,
    ~ ( e2 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e5 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e1 = op(op(e0,e4),op(e0,e4))
      & e3 = op(e0,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax725) ).

fof(f3884,plain,
    ( ~ spl0_266
    | ~ spl0_224
    | ~ spl0_227
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f1850,f3881,f3701,f3689,f3877]) ).

fof(f1850,plain,
    ( e2 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e1 != op(op(e0,e5),op(e0,e5))
    | e4 != op(e0,e5) ),
    inference(cnf_transformation,[],[f1425]) ).

fof(f1425,plain,
    ( e4 != op(e0,e5)
    | e1 != op(op(e0,e5),op(e0,e5))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,op(op(e0,e5),op(e0,e5))) ),
    inference(ennf_transformation,[],[f485]) ).

fof(f485,axiom,
    ~ ( e2 = op(e0,op(op(e0,e5),op(e0,e5)))
      & e1 = op(op(e0,e5),op(e0,e5))
      & e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e4 = op(e0,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax485) ).

fof(f3875,plain,
    ( ~ spl0_263
    | ~ spl0_264
    | ~ spl0_109
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f1782,f3872,f3177,f3868,f3864]) ).

fof(f1782,plain,
    ( e0 != op(op(e5,e4),op(e5,e4))
    | e2 != op(e5,e4)
    | e1 != op(e5,op(op(e5,e4),op(e5,e4)))
    | e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4)))) ),
    inference(cnf_transformation,[],[f1026]) ).

fof(f1026,plain,
    ( e3 != op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
    | e2 != op(e5,e4)
    | e0 != op(op(e5,e4),op(e5,e4))
    | e1 != op(e5,op(op(e5,e4),op(e5,e4))) ),
    inference(ennf_transformation,[],[f452]) ).

fof(f452,axiom,
    ~ ( e1 = op(e5,op(op(e5,e4),op(e5,e4)))
      & e0 = op(op(e5,e4),op(e5,e4))
      & e3 = op(op(e5,op(op(e5,e4),op(e5,e4))),op(e5,op(op(e5,e4),op(e5,e4))))
      & e2 = op(e5,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax452) ).

fof(f3862,plain,
    ( ~ spl0_259
    | ~ spl0_260
    | ~ spl0_261
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2636,f3859,f3855,f3851,f3847]) ).

fof(f2636,plain,
    ( e5 != op(op(e2,e4),op(e2,e4))
    | e1 != op(e2,e4)
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(cnf_transformation,[],[f1112]) ).

fof(f1112,plain,
    ( e1 != op(e2,e4)
    | e3 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e0 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(op(e2,e4),op(e2,e4)) ),
    inference(ennf_transformation,[],[f97]) ).

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

fof(f3845,plain,
    ( ~ spl0_255
    | ~ spl0_256
    | ~ spl0_257
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f1669,f3842,f3838,f3834,f3830]) ).

fof(f1669,plain,
    ( e5 != op(op(e4,e2),op(e4,e2))
    | e1 != op(e4,e2)
    | e3 != op(e4,op(op(e4,e2),op(e4,e2)))
    | e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2)))) ),
    inference(cnf_transformation,[],[f1147]) ).

fof(f1147,plain,
    ( e1 != op(e4,e2)
    | e0 != op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
    | e5 != op(op(e4,e2),op(e4,e2))
    | e3 != op(e4,op(op(e4,e2),op(e4,e2))) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ~ ( e0 = op(op(e4,op(op(e4,e2),op(e4,e2))),op(e4,op(op(e4,e2),op(e4,e2))))
      & e1 = op(e4,e2)
      & e3 = op(e4,op(op(e4,e2),op(e4,e2)))
      & e5 = op(op(e4,e2),op(e4,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f3828,plain,
    ~ spl0_254,
    inference(avatar_split_clause,[],[f1911,f3825]) ).

fof(f3825,plain,
    ( spl0_254
  <=> op(e3,e4) = op(e3,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1911,plain,
    op(e3,e4) != op(e3,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3823,plain,
    ( ~ spl0_133
    | ~ spl0_253
    | ~ spl0_58
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1842,f2968,f2956,f3820,f3282]) ).

fof(f1842,plain,
    ( e3 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(e1,e0)
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(cnf_transformation,[],[f1383]) ).

fof(f1383,plain,
    ( e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e5 != op(e1,e0)
    | e3 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f503]) ).

fof(f503,axiom,
    ~ ( e2 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e5 = op(e1,e0)
      & e3 = op(op(e1,e0),op(e1,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax503) ).

fof(f3818,plain,
    ( ~ spl0_250
    | ~ spl0_251
    | ~ spl0_11
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2702,f3815,f2751,f3811,f3807]) ).

fof(f2702,plain,
    ( e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,e1)
    | e0 != op(op(e2,e1),op(e2,e1))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(cnf_transformation,[],[f1447]) ).

fof(f1447,plain,
    ( e3 != op(e2,e1)
    | e4 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f538]) ).

fof(f538,axiom,
    ~ ( e3 = op(e2,e1)
      & e0 = op(op(e2,e1),op(e2,e1))
      & e5 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e4 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax538) ).

fof(f3805,plain,
    ( ~ spl0_193
    | ~ spl0_229
    | ~ spl0_195
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f1709,f3802,f3557,f3710,f3549]) ).

fof(f1709,plain,
    ( e0 != op(e2,e5)
    | e4 != op(op(e2,e5),op(e2,e5))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f1130]) ).

fof(f1130,plain,
    ( e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e0 != op(e2,e5)
    | e4 != op(op(e2,e5),op(e2,e5))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(ennf_transformation,[],[f475]) ).

fof(f475,axiom,
    ~ ( e3 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e4 = op(op(e2,e5),op(e2,e5))
      & e1 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e0 = op(e2,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax475) ).

fof(f3800,plain,
    ( spl0_245
    | spl0_20
    | spl0_246
    | spl0_247
    | spl0_248
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1753,f2715,f3797,f3793,f3789,f2790,f3785]) ).

fof(f3793,plain,
    ( spl0_247
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f3797,plain,
    ( spl0_248
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f1753,plain,
    ( e2 = op(e0,e3)
    | e0 = op(e0,e3)
    | e3 = op(e0,e3)
    | e1 = op(e0,e3)
    | e5 = op(e0,e3)
    | e4 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f3783,plain,
    ~ spl0_244,
    inference(avatar_split_clause,[],[f1891,f3780]) ).

fof(f3780,plain,
    ( spl0_244
  <=> op(e2,e0) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f1891,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f3778,plain,
    spl0_243,
    inference(avatar_split_clause,[],[f2267,f3775]) ).

fof(f3775,plain,
    ( spl0_243
  <=> op(op(e5,e3),e4) = op(e5,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f2267,plain,
    op(op(e5,e3),e4) = op(e5,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3773,plain,
    ( ~ spl0_102
    | ~ spl0_103
    | ~ spl0_241
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2671,f3770,f3766,f3152,f3148]) ).

fof(f2671,plain,
    ( e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(e1,e3)
    | e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f1077]) ).

fof(f1077,plain,
    ( e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e5 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e0 != op(e1,e3) ),
    inference(ennf_transformation,[],[f703]) ).

fof(f703,axiom,
    ~ ( e0 = op(e1,e3)
      & e2 = op(op(e1,e3),op(e1,e3))
      & e5 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e4 = op(e1,op(op(e1,e3),op(e1,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax703) ).

fof(f3764,plain,
    ( ~ spl0_237
    | ~ spl0_238
    | ~ spl0_239
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f1802,f3761,f3757,f3753,f3749]) ).

fof(f1802,plain,
    ( e4 != op(e0,op(op(e0,e2),op(e0,e2)))
    | e5 != op(e0,e2)
    | e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f1094]) ).

fof(f1094,plain,
    ( e3 != op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2))))
    | e1 != op(op(e0,e2),op(e0,e2))
    | e5 != op(e0,e2)
    | e4 != op(e0,op(op(e0,e2),op(e0,e2))) ),
    inference(ennf_transformation,[],[f437]) ).

fof(f437,axiom,
    ~ ( e5 = op(e0,e2)
      & e1 = op(op(e0,e2),op(e0,e2))
      & e4 = op(e0,op(op(e0,e2),op(e0,e2)))
      & e3 = op(op(e0,op(op(e0,e2),op(e0,e2))),op(e0,op(op(e0,e2),op(e0,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax437) ).

fof(f3747,plain,
    spl0_236,
    inference(avatar_split_clause,[],[f2278,f3744]) ).

fof(f3744,plain,
    ( spl0_236
  <=> op(op(e5,e0),e0) = op(e5,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2278,plain,
    op(op(e5,e0),e0) = op(e5,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3742,plain,
    spl0_235,
    inference(avatar_split_clause,[],[f2160,f3739]) ).

fof(f3739,plain,
    ( spl0_235
  <=> op(op(e4,e0),e0) = op(e4,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f2160,plain,
    op(op(e4,e0),e0) = op(e4,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3737,plain,
    spl0_234,
    inference(avatar_split_clause,[],[f2282,f3734]) ).

fof(f3734,plain,
    ( spl0_234
  <=> op(op(e1,e4),e0) = op(e1,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f2282,plain,
    op(op(e1,e4),e0) = op(e1,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3732,plain,
    spl0_233,
    inference(avatar_split_clause,[],[f2235,f3729]) ).

fof(f3729,plain,
    ( spl0_233
  <=> op(op(e4,e2),e1) = op(e4,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f2235,plain,
    op(op(e4,e2),e1) = op(e4,op(e2,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3727,plain,
    ~ spl0_232,
    inference(avatar_split_clause,[],[f2043,f3724]) ).

fof(f3724,plain,
    ( spl0_232
  <=> op(e1,e3) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f2043,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f3722,plain,
    ( ~ spl0_198
    | ~ spl0_230
    | ~ spl0_197
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f2091,f3719,f3566,f3715,f3570]) ).

fof(f2091,plain,
    ( e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(op(e1,e5),op(e1,e5))
    | e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5) ),
    inference(cnf_transformation,[],[f984]) ).

fof(f984,plain,
    ( e4 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5)
    | e0 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(op(e1,e5),op(e1,e5)) ),
    inference(ennf_transformation,[],[f131]) ).

fof(f131,axiom,
    ~ ( e2 = op(op(e1,e5),op(e1,e5))
      & e3 = op(e1,e5)
      & e0 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e4 = op(e1,op(op(e1,e5),op(e1,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).

fof(f3713,plain,
    ( ~ spl0_228
    | ~ spl0_35
    | ~ spl0_34
    | ~ spl0_229 ),
    inference(avatar_split_clause,[],[f2340,f3710,f2850,f2854,f3706]) ).

fof(f2340,plain,
    ( e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(e2,e5)
    | e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e3 != op(op(e2,e5),op(e2,e5)) ),
    inference(cnf_transformation,[],[f1015]) ).

fof(f1015,plain,
    ( e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e4 != op(e2,e5)
    | e3 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,axiom,
    ~ ( e1 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e3 = op(op(e2,e5),op(e2,e5))
      & e4 = op(e2,e5)
      & e0 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

fof(f3704,plain,
    ( ~ spl0_224
    | ~ spl0_225
    | ~ spl0_226
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f1796,f3701,f3697,f3693,f3689]) ).

fof(f1796,plain,
    ( e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
    | e2 != op(e0,e5)
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,e5),op(e0,e5)) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f1259,plain,
    ( e2 != op(e0,e5)
    | e4 != op(e0,op(op(e0,e5),op(e0,e5)))
    | e1 != op(op(e0,e5),op(e0,e5))
    | e3 != op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5)))) ),
    inference(ennf_transformation,[],[f491]) ).

fof(f491,axiom,
    ~ ( e2 = op(e0,e5)
      & e1 = op(op(e0,e5),op(e0,e5))
      & e3 = op(op(e0,op(op(e0,e5),op(e0,e5))),op(e0,op(op(e0,e5),op(e0,e5))))
      & e4 = op(e0,op(op(e0,e5),op(e0,e5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax491) ).

fof(f3687,plain,
    ~ spl0_223,
    inference(avatar_split_clause,[],[f1989,f3684]) ).

fof(f3684,plain,
    ( spl0_223
  <=> op(e0,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f1989,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f3682,plain,
    ~ spl0_222,
    inference(avatar_split_clause,[],[f2001,f3679]) ).

fof(f3679,plain,
    ( spl0_222
  <=> op(e0,e0) = op(e0,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f2001,plain,
    op(e0,e0) != op(e0,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3677,plain,
    spl0_221,
    inference(avatar_split_clause,[],[f2311,f3674]) ).

fof(f3674,plain,
    ( spl0_221
  <=> op(op(e1,e0),e0) = op(e1,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f2311,plain,
    op(op(e1,e0),e0) = op(e1,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3672,plain,
    spl0_220,
    inference(avatar_split_clause,[],[f1515,f3669]) ).

fof(f3669,plain,
    ( spl0_220
  <=> unit = op(inv(e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f1515,plain,
    unit = op(inv(e3),e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3667,plain,
    ~ spl0_219,
    inference(avatar_split_clause,[],[f1955,f3664]) ).

fof(f3664,plain,
    ( spl0_219
  <=> op(e2,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f1955,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3662,plain,
    spl0_218,
    inference(avatar_split_clause,[],[f2255,f3659]) ).

fof(f3659,plain,
    ( spl0_218
  <=> op(op(e2,e0),e0) = op(e2,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f2255,plain,
    op(op(e2,e0),e0) = op(e2,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3657,plain,
    ( ~ spl0_136
    | ~ spl0_216
    | ~ spl0_135
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2568,f3654,f3291,f3650,f3295]) ).

fof(f2568,plain,
    ( e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(op(e2,e0),op(e2,e0))
    | e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e4 != op(e2,e0) ),
    inference(cnf_transformation,[],[f921]) ).

fof(f921,plain,
    ( e5 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e1 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,e0) ),
    inference(ennf_transformation,[],[f155]) ).

fof(f155,axiom,
    ~ ( e4 = op(e2,e0)
      & e5 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e1 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e3 = op(op(e2,e0),op(e2,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).

fof(f3648,plain,
    ( ~ spl0_213
    | ~ spl0_214
    | ~ spl0_215
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2533,f3505,f3645,f3641,f3637]) ).

fof(f2533,plain,
    ( e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e5 != op(e0,e4)
    | e3 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(op(e0,e4),op(e0,e4)) ),
    inference(cnf_transformation,[],[f1123]) ).

fof(f1123,plain,
    ( e2 != op(op(e0,e4),op(e0,e4))
    | e5 != op(e0,e4)
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(ennf_transformation,[],[f221]) ).

fof(f221,axiom,
    ~ ( e3 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e2 = op(op(e0,e4),op(e0,e4))
      & e5 = op(e0,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax221) ).

fof(f3635,plain,
    ~ spl0_212,
    inference(avatar_split_clause,[],[f1947,f3632]) ).

fof(f3632,plain,
    ( spl0_212
  <=> op(e1,e3) = op(e1,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f1947,plain,
    op(e1,e3) != op(e1,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3630,plain,
    ( ~ spl0_209
    | ~ spl0_210
    | ~ spl0_13
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f2461,f3627,f2760,f3623,f3619]) ).

fof(f2461,plain,
    ( e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e4 != op(e3,e0)
    | e1 != op(op(e3,e0),op(e3,e0))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0))) ),
    inference(cnf_transformation,[],[f993]) ).

fof(f993,plain,
    ( e1 != op(op(e3,e0),op(e3,e0))
    | e5 != op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
    | e2 != op(e3,op(op(e3,e0),op(e3,e0)))
    | e4 != op(e3,e0) ),
    inference(ennf_transformation,[],[f622]) ).

fof(f622,axiom,
    ~ ( e1 = op(op(e3,e0),op(e3,e0))
      & e5 = op(op(e3,op(op(e3,e0),op(e3,e0))),op(e3,op(op(e3,e0),op(e3,e0))))
      & e2 = op(e3,op(op(e3,e0),op(e3,e0)))
      & e4 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax622) ).

fof(f3617,plain,
    ( ~ spl0_205
    | ~ spl0_206
    | ~ spl0_207
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2361,f3614,f3610,f3606,f3602]) ).

fof(f2361,plain,
    ( e2 != op(e5,e1)
    | e3 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    inference(cnf_transformation,[],[f1430]) ).

fof(f1430,plain,
    ( e0 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e2 != op(e5,e1)
    | e3 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,op(op(e5,e1),op(e5,e1))) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e2 = op(e5,e1)
      & e4 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e3 = op(op(e5,e1),op(e5,e1))
      & e0 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f3600,plain,
    spl0_204,
    inference(avatar_split_clause,[],[f2275,f3597]) ).

fof(f3597,plain,
    ( spl0_204
  <=> op(op(e0,e3),e4) = op(e0,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f2275,plain,
    op(op(e0,e3),e4) = op(e0,op(e3,e4)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3595,plain,
    ( ~ spl0_202
    | ~ spl0_203
    | ~ spl0_146
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2073,f3354,f3342,f3592,f3588]) ).

fof(f2073,plain,
    ( e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e2 != op(op(e4,e0),op(e4,e0))
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e1 != op(e4,e0) ),
    inference(cnf_transformation,[],[f1255]) ).

fof(f1255,plain,
    ( e1 != op(e4,e0)
    | e5 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(op(e4,e0),op(e4,e0))
    | e3 != op(e4,op(op(e4,e0),op(e4,e0))) ),
    inference(ennf_transformation,[],[f624]) ).

fof(f624,axiom,
    ~ ( e5 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e1 = op(e4,e0)
      & e3 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e2 = op(op(e4,e0),op(e4,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax624) ).

fof(f3586,plain,
    ( ~ spl0_200
    | ~ spl0_96
    | ~ spl0_98
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f2050,f3583,f3131,f3123,f3579]) ).

fof(f2050,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e2 != op(e3,e1)
    | e5 != op(e3,op(op(e3,e1),op(e3,e1))) ),
    inference(cnf_transformation,[],[f766]) ).

fof(f766,plain,
    ( e5 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e0 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1) ),
    inference(ennf_transformation,[],[f536]) ).

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

fof(f3577,plain,
    ( ~ spl0_197
    | ~ spl0_198
    | ~ spl0_45
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2347,f3574,f2899,f3570,f3566]) ).

fof(f2347,plain,
    ( e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e3 != op(e1,e5)
    | e2 != op(op(e1,e5),op(e1,e5)) ),
    inference(cnf_transformation,[],[f900]) ).

fof(f900,plain,
    ( e3 != op(e1,e5)
    | e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(op(e1,e5),op(e1,e5)) ),
    inference(ennf_transformation,[],[f593]) ).

fof(f593,axiom,
    ~ ( e4 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e3 = op(e1,e5)
      & e0 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e2 = op(op(e1,e5),op(e1,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax593) ).

fof(f3564,plain,
    ( ~ spl0_193
    | ~ spl0_194
    | ~ spl0_195
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f2480,f3561,f3557,f3553,f3549]) ).

fof(f2480,plain,
    ( e1 != op(e2,e5)
    | e4 != op(op(e2,e5),op(e2,e5))
    | e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5)))) ),
    inference(cnf_transformation,[],[f786]) ).

fof(f786,plain,
    ( e1 != op(e2,e5)
    | e0 != op(e2,op(op(e2,e5),op(e2,e5)))
    | e3 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e4 != op(op(e2,e5),op(e2,e5)) ),
    inference(ennf_transformation,[],[f469]) ).

fof(f469,axiom,
    ~ ( e0 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e3 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e1 = op(e2,e5)
      & e4 = op(op(e2,e5),op(e2,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax469) ).

fof(f3547,plain,
    ( spl0_38
    | spl0_188
    | spl0_189
    | spl0_190
    | spl0_191
    | spl0_192 ),
    inference(avatar_split_clause,[],[f1502,f3544,f3540,f3536,f3532,f3528,f2868]) ).

fof(f3540,plain,
    ( spl0_191
  <=> e3 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f1502,plain,
    ( e0 = inv(e3)
    | e3 = inv(e3)
    | e5 = inv(e3)
    | e1 = inv(e3)
    | e2 = inv(e3)
    | e4 = inv(e3) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f3526,plain,
    ( ~ spl0_148
    | ~ spl0_185
    | ~ spl0_186
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1851,f3523,f3519,f3515,f3350]) ).

fof(f1851,plain,
    ( e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,e0) ),
    inference(cnf_transformation,[],[f1285]) ).

fof(f1285,plain,
    ( e3 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,e0) ),
    inference(ennf_transformation,[],[f382]) ).

fof(f382,axiom,
    ~ ( e1 = op(op(e4,e0),op(e4,e0))
      & e3 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
      & e2 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e5 = op(e4,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax382) ).

fof(f3513,plain,
    spl0_184,
    inference(avatar_split_clause,[],[f2325,f3510]) ).

fof(f3510,plain,
    ( spl0_184
  <=> op(op(e5,e3),e5) = op(e5,op(e3,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2325,plain,
    op(op(e5,e3),e5) = op(e5,op(e3,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3508,plain,
    ( ~ spl0_80
    | ~ spl0_182
    | ~ spl0_183
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2639,f3378,f3505,f3501,f3052]) ).

fof(f2639,plain,
    ( e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e3 != op(e0,e4)
    | e5 != op(op(e0,e4),op(e0,e4)) ),
    inference(cnf_transformation,[],[f935]) ).

fof(f935,plain,
    ( e5 != op(op(e0,e4),op(e0,e4))
    | e1 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e3 != op(e0,e4) ),
    inference(ennf_transformation,[],[f213]) ).

fof(f213,axiom,
    ~ ( e1 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e5 = op(op(e0,e4),op(e0,e4))
      & e2 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e3 = op(e0,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax213) ).

fof(f3499,plain,
    ( ~ spl0_178
    | ~ spl0_179
    | ~ spl0_180
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1715,f3496,f3492,f3488,f3484]) ).

fof(f1715,plain,
    ( e5 != op(e2,e4)
    | e0 != op(e2,op(op(e2,e4),op(e2,e4)))
    | e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e3 != op(op(e2,e4),op(e2,e4)) ),
    inference(cnf_transformation,[],[f820]) ).

fof(f820,plain,
    ( e1 != op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
    | e5 != op(e2,e4)
    | e3 != op(op(e2,e4),op(e2,e4))
    | e0 != op(e2,op(op(e2,e4),op(e2,e4))) ),
    inference(ennf_transformation,[],[f209]) ).

fof(f209,axiom,
    ~ ( e5 = op(e2,e4)
      & e3 = op(op(e2,e4),op(e2,e4))
      & e1 = op(op(e2,op(op(e2,e4),op(e2,e4))),op(e2,op(op(e2,e4),op(e2,e4))))
      & e0 = op(e2,op(op(e2,e4),op(e2,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax209) ).

fof(f3482,plain,
    ( ~ spl0_174
    | ~ spl0_175
    | ~ spl0_176
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1705,f3479,f3475,f3471,f3467]) ).

fof(f1705,plain,
    ( e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,e2) ),
    inference(cnf_transformation,[],[f1340]) ).

fof(f1340,plain,
    ( e1 != op(e3,op(op(e3,e2),op(e3,e2)))
    | e0 != op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2))))
    | e5 != op(op(e3,e2),op(e3,e2))
    | e4 != op(e3,e2) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ ( e4 = op(e3,e2)
      & e5 = op(op(e3,e2),op(e3,e2))
      & e1 = op(e3,op(op(e3,e2),op(e3,e2)))
      & e0 = op(op(e3,op(op(e3,e2),op(e3,e2))),op(e3,op(op(e3,e2),op(e3,e2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f3465,plain,
    ( ~ spl0_170
    | ~ spl0_171
    | ~ spl0_172
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f2363,f3462,f3458,f3454,f3450]) ).

fof(f2363,plain,
    ( e0 != op(e5,e3)
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3))))
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e2 != op(op(e5,e3),op(e5,e3)) ),
    inference(cnf_transformation,[],[f899]) ).

fof(f899,plain,
    ( e2 != op(op(e5,e3),op(e5,e3))
    | e0 != op(e5,e3)
    | e4 != op(e5,op(op(e5,e3),op(e5,e3)))
    | e1 != op(op(e5,op(op(e5,e3),op(e5,e3))),op(e5,op(op(e5,e3),op(e5,e3)))) ),
    inference(ennf_transformation,[],[f192]) ).

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

fof(f3448,plain,
    ~ spl0_169,
    inference(avatar_split_clause,[],[f2025,f3445]) ).

fof(f3445,plain,
    ( spl0_169
  <=> op(e3,e2) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2025,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3443,plain,
    spl0_168,
    inference(avatar_split_clause,[],[f2121,f3440]) ).

fof(f3440,plain,
    ( spl0_168
  <=> op(op(e5,e2),e0) = op(e5,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2121,plain,
    op(op(e5,e2),e0) = op(e5,op(e2,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3438,plain,
    ( ~ spl0_166
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1677,f3435,f3431]) ).

fof(f1677,plain,
    ( e0 = inv(e1)
    | e1 != inv(e0) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f3429,plain,
    ( spl0_96
    | spl0_161
    | spl0_162
    | spl0_163
    | spl0_164
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1748,f3426,f3422,f3418,f3414,f3410,f3123]) ).

fof(f3418,plain,
    ( spl0_163
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3422,plain,
    ( spl0_164
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1748,plain,
    ( e5 = op(e3,e1)
    | e1 = op(e3,e1)
    | e3 = op(e3,e1)
    | e4 = op(e3,e1)
    | e0 = op(e3,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f3408,plain,
    ( ~ spl0_157
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1523,f3405,f3401,f3397,f3393]) ).

fof(f1523,plain,
    ( e2 != op(e0,op(op(e0,e1),op(e0,e1)))
    | e4 != op(e0,e1)
    | e3 != op(op(e0,e1),op(e0,e1))
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1)))) ),
    inference(cnf_transformation,[],[f1397]) ).

fof(f1397,plain,
    ( e4 != op(e0,e1)
    | e5 != op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
    | e3 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,op(op(e0,e1),op(e0,e1))) ),
    inference(ennf_transformation,[],[f647]) ).

fof(f647,axiom,
    ~ ( e3 = op(op(e0,e1),op(e0,e1))
      & e2 = op(e0,op(op(e0,e1),op(e0,e1)))
      & e5 = op(op(e0,op(op(e0,e1),op(e0,e1))),op(e0,op(op(e0,e1),op(e0,e1))))
      & e4 = op(e0,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax647) ).

fof(f3391,plain,
    spl0_156,
    inference(avatar_split_clause,[],[f2310,f3388]) ).

fof(f3388,plain,
    ( spl0_156
  <=> op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2310,plain,
    op(op(e3,e0),e0) = op(e3,op(e0,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3386,plain,
    ~ spl0_155,
    inference(avatar_split_clause,[],[f1942,f3383]) ).

fof(f3383,plain,
    ( spl0_155
  <=> op(e0,e0) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1942,plain,
    op(e0,e0) != op(e5,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f3381,plain,
    ( ~ spl0_81
    | ~ spl0_80
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2473,f3378,f3374,f3052,f3056]) ).

fof(f2473,plain,
    ( e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e1 != op(e0,e4)
    | e5 != op(op(e0,e4),op(e0,e4))
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4)))) ),
    inference(cnf_transformation,[],[f936]) ).

fof(f936,plain,
    ( e2 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e5 != op(op(e0,e4),op(e0,e4))
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(e0,e4) ),
    inference(ennf_transformation,[],[f459]) ).

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

fof(f3372,plain,
    ~ spl0_152,
    inference(avatar_split_clause,[],[f2017,f3369]) ).

fof(f3369,plain,
    ( spl0_152
  <=> op(e4,e1) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2017,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f3367,plain,
    spl0_151,
    inference(avatar_split_clause,[],[f1516,f3364]) ).

fof(f3364,plain,
    ( spl0_151
  <=> unit = op(inv(e5),e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1516,plain,
    unit = op(inv(e5),e5),
    inference(cnf_transformation,[],[f4]) ).

fof(f3362,plain,
    spl0_150,
    inference(avatar_split_clause,[],[f1490,f3359]) ).

fof(f3359,plain,
    ( spl0_150
  <=> e1 = inv(inv(e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1490,plain,
    e1 = inv(inv(e1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f3357,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2469,f3354,f3350,f3346,f3342]) ).

fof(f2469,plain,
    ( e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e5 != op(e4,e0)
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0))))
    | e2 != op(op(e4,e0),op(e4,e0)) ),
    inference(cnf_transformation,[],[f1314]) ).

fof(f1314,plain,
    ( e2 != op(op(e4,e0),op(e4,e0))
    | e5 != op(e4,e0)
    | e3 != op(e4,op(op(e4,e0),op(e4,e0)))
    | e1 != op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f142,axiom,
    ~ ( e5 = op(e4,e0)
      & e3 = op(e4,op(op(e4,e0),op(e4,e0)))
      & e2 = op(op(e4,e0),op(e4,e0))
      & e1 = op(op(e4,op(op(e4,e0),op(e4,e0))),op(e4,op(op(e4,e0),op(e4,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).

fof(f3340,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1619,f3337,f3333,f3329,f3325]) ).

fof(f1619,plain,
    ( e2 != op(op(e3,e5),op(e3,e5))
    | e4 != op(e3,e5)
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(cnf_transformation,[],[f1195]) ).

fof(f1195,plain,
    ( e2 != op(op(e3,e5),op(e3,e5))
    | e0 != op(e3,op(op(e3,e5),op(e3,e5)))
    | e4 != op(e3,e5)
    | e1 != op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5)))) ),
    inference(ennf_transformation,[],[f232]) ).

fof(f232,axiom,
    ~ ( e0 = op(e3,op(op(e3,e5),op(e3,e5)))
      & e4 = op(e3,e5)
      & e1 = op(op(e3,op(op(e3,e5),op(e3,e5))),op(e3,op(op(e3,e5),op(e3,e5))))
      & e2 = op(op(e3,e5),op(e3,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax232) ).

fof(f3323,plain,
    ( ~ spl0_76
    | ~ spl0_141
    | ~ spl0_8
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1555,f2734,f2738,f3320,f3035]) ).

fof(f1555,plain,
    ( e5 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1)
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(cnf_transformation,[],[f999]) ).

fof(f999,plain,
    ( e4 != op(e2,e1)
    | e3 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(op(e2,e1),op(e2,e1)) ),
    inference(ennf_transformation,[],[f399]) ).

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

fof(f3318,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f2216,f3315]) ).

fof(f3315,plain,
    ( spl0_140
  <=> op(op(e5,e5),e2) = op(e5,op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2216,plain,
    op(op(e5,e5),e2) = op(e5,op(e5,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3313,plain,
    spl0_139,
    inference(avatar_split_clause,[],[f2198,f3310]) ).

fof(f3310,plain,
    ( spl0_139
  <=> op(op(e2,e5),e1) = op(e2,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2198,plain,
    op(op(e2,e5),e1) = op(e2,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3308,plain,
    ~ spl0_138,
    inference(avatar_split_clause,[],[f1981,f3305]) ).

fof(f3305,plain,
    ( spl0_138
  <=> op(e4,e2) = op(e4,e5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1981,plain,
    op(e4,e2) != op(e4,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f3303,plain,
    spl0_137,
    inference(avatar_split_clause,[],[f2151,f3300]) ).

fof(f3300,plain,
    ( spl0_137
  <=> op(op(e4,e4),e3) = op(e4,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2151,plain,
    op(op(e4,e4),e3) = op(e4,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3298,plain,
    ( ~ spl0_135
    | ~ spl0_136
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2607,f3005,f3001,f3295,f3291]) ).

fof(f2607,plain,
    ( e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e4 != op(e2,e0)
    | e3 != op(op(e2,e0),op(e2,e0)) ),
    inference(cnf_transformation,[],[f915]) ).

fof(f915,plain,
    ( e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e3 != op(op(e2,e0),op(e2,e0))
    | e4 != op(e2,e0) ),
    inference(ennf_transformation,[],[f617]) ).

fof(f617,axiom,
    ~ ( e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e4 = op(e2,e0)
      & e3 = op(op(e2,e0),op(e2,e0))
      & e1 = op(e2,op(op(e2,e0),op(e2,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax617) ).

fof(f3289,plain,
    ( ~ spl0_132
    | ~ spl0_133
    | ~ spl0_58
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2382,f3286,f2956,f3282,f3278]) ).

fof(f2382,plain,
    ( e3 != op(e1,e0)
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e5 != op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f1418]) ).

fof(f1418,plain,
    ( e3 != op(e1,e0)
    | e5 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e4 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    inference(ennf_transformation,[],[f501]) ).

fof(f501,axiom,
    ~ ( e5 = op(op(e1,e0),op(e1,e0))
      & e4 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
      & e2 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e3 = op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax501) ).

fof(f3276,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f2184,f3273]) ).

fof(f3273,plain,
    ( spl0_131
  <=> op(op(e0,e3),e0) = op(e0,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2184,plain,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3271,plain,
    ( ~ spl0_20
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1625,f3268,f3264,f3260,f2790]) ).

fof(f1625,plain,
    ( e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(e0,e3) ),
    inference(cnf_transformation,[],[f1166]) ).

fof(f1166,plain,
    ( e5 != op(e0,e3)
    | e4 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,e3),op(e0,e3))
    | e2 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(ennf_transformation,[],[f317]) ).

fof(f317,axiom,
    ~ ( e2 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e4 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e1 = op(op(e0,e3),op(e0,e3))
      & e5 = op(e0,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax317) ).

fof(f3258,plain,
    ~ spl0_127,
    inference(avatar_split_clause,[],[f1969,f3255]) ).

fof(f3255,plain,
    ( spl0_127
  <=> op(e1,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1969,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3253,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2083,f3250,f3246,f3242,f3238]) ).

fof(f2083,plain,
    ( e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,e4)
    | e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e2 != op(op(e1,e4),op(e1,e4)) ),
    inference(cnf_transformation,[],[f857]) ).

fof(f857,plain,
    ( e2 != op(op(e1,e4),op(e1,e4))
    | e3 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e0 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e5 != op(e1,e4) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,axiom,
    ~ ( e3 = op(e1,op(op(e1,e4),op(e1,e4)))
      & e0 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e5 = op(e1,e4)
      & e2 = op(op(e1,e4),op(e1,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).

fof(f3236,plain,
    ( ~ spl0_119
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1518,f3233,f3229,f3225,f3221]) ).

fof(f1518,plain,
    ( e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(op(e1,e5),op(e1,e5))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(e1,e5) ),
    inference(cnf_transformation,[],[f1079]) ).

fof(f1079,plain,
    ( e4 != op(e1,e5)
    | e0 != op(op(e1,e5),op(e1,e5))
    | e2 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e3 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f364]) ).

fof(f364,axiom,
    ~ ( e3 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e2 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e4 = op(e1,e5)
      & e0 = op(op(e1,e5),op(e1,e5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax364) ).

fof(f3219,plain,
    ( ~ spl0_115
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2101,f3216,f3212,f3208,f3204]) ).

fof(f2101,plain,
    ( e4 != op(e5,e0)
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e3 != op(op(e5,e0),op(e5,e0))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0))) ),
    inference(cnf_transformation,[],[f1001]) ).

fof(f1001,plain,
    ( e3 != op(op(e5,e0),op(e5,e0))
    | e1 != op(op(e5,op(op(e5,e0),op(e5,e0))),op(e5,op(op(e5,e0),op(e5,e0))))
    | e2 != op(e5,op(op(e5,e0),op(e5,e0)))
    | e4 != op(e5,e0) ),
    inference(ennf_transformation,[],[f134]) ).

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

fof(f3202,plain,
    ( ~ spl0_111
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2084,f3199,f3195,f3191,f3187]) ).

fof(f2084,plain,
    ( e2 != op(op(e5,e1),op(e5,e1))
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e4 != op(e5,e1) ),
    inference(cnf_transformation,[],[f1159]) ).

fof(f1159,plain,
    ( e3 != op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
    | e0 != op(e5,op(op(e5,e1),op(e5,e1)))
    | e2 != op(op(e5,e1),op(e5,e1))
    | e4 != op(e5,e1) ),
    inference(ennf_transformation,[],[f398]) ).

fof(f398,axiom,
    ~ ( e0 = op(e5,op(op(e5,e1),op(e5,e1)))
      & e3 = op(op(e5,op(op(e5,e1),op(e5,e1))),op(e5,op(op(e5,e1),op(e5,e1))))
      & e2 = op(op(e5,e1),op(e5,e1))
      & e4 = op(e5,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax398) ).

fof(f3185,plain,
    ~ spl0_110,
    inference(avatar_split_clause,[],[f2005,f3182]) ).

fof(f3182,plain,
    ( spl0_110
  <=> op(e2,e1) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2005,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f3180,plain,
    ( spl0_104
    | spl0_105
    | spl0_106
    | spl0_107
    | spl0_108
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1725,f3177,f3173,f3169,f3165,f3161,f3157]) ).

fof(f3161,plain,
    ( spl0_105
  <=> e5 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3169,plain,
    ( spl0_107
  <=> e4 = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1725,plain,
    ( e2 = op(e5,e4)
    | e1 = op(e5,e4)
    | e4 = op(e5,e4)
    | e3 = op(e5,e4)
    | e5 = op(e5,e4)
    | e0 = op(e5,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f3155,plain,
    ( ~ spl0_100
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1632,f3152,f3148,f3144,f3140]) ).

fof(f1632,plain,
    ( e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e2 != op(op(e1,e3),op(e1,e3))
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e5 != op(e1,e3) ),
    inference(cnf_transformation,[],[f847]) ).

fof(f847,plain,
    ( e4 != op(e1,op(op(e1,e3),op(e1,e3)))
    | e5 != op(e1,e3)
    | e0 != op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
    | e2 != op(op(e1,e3),op(e1,e3)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,axiom,
    ~ ( e0 = op(op(e1,op(op(e1,e3),op(e1,e3))),op(e1,op(op(e1,e3),op(e1,e3))))
      & e5 = op(e1,e3)
      & e4 = op(e1,op(op(e1,e3),op(e1,e3)))
      & e2 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

fof(f3138,plain,
    ( ~ spl0_96
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2593,f3135,f3131,f3127,f3123]) ).

fof(f2593,plain,
    ( e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1) ),
    inference(cnf_transformation,[],[f1078]) ).

fof(f1078,plain,
    ( e2 != op(e3,e1)
    | e0 != op(e3,op(op(e3,e1),op(e3,e1)))
    | e4 != op(op(e3,op(op(e3,e1),op(e3,e1))),op(e3,op(op(e3,e1),op(e3,e1))))
    | e5 != op(op(e3,e1),op(e3,e1)) ),
    inference(ennf_transformation,[],[f517]) ).

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

fof(f3121,plain,
    ( ~ spl0_92
    | ~ spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1652,f3118,f3114,f3110,f3106]) ).

fof(f1652,plain,
    ( e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e4 != op(e2,e3)
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f970]) ).

fof(f970,plain,
    ( e4 != op(e2,e3)
    | e5 != op(op(e2,op(op(e2,e3),op(e2,e3))),op(e2,op(op(e2,e3),op(e2,e3))))
    | e0 != op(e2,op(op(e2,e3),op(e2,e3)))
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f688]) ).

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

fof(f3104,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f2191,f3101]) ).

fof(f3101,plain,
    ( spl0_91
  <=> op(op(e3,e5),e1) = op(e3,op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2191,plain,
    op(op(e3,e5),e1) = op(e3,op(e5,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3099,plain,
    ~ spl0_90,
    inference(avatar_split_clause,[],[f1998,f3096]) ).

fof(f3096,plain,
    ( spl0_90
  <=> op(e0,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1998,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3094,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f2172,f3091]) ).

fof(f3091,plain,
    ( spl0_89
  <=> op(op(e3,e5),e5) = op(e3,op(e5,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2172,plain,
    op(op(e3,e5),e5) = op(e3,op(e5,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3089,plain,
    ( ~ spl0_85
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2456,f3086,f3082,f3078,f3074]) ).

fof(f2456,plain,
    ( e5 != op(e1,e2)
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e3 != op(op(e1,e2),op(e1,e2)) ),
    inference(cnf_transformation,[],[f840]) ).

fof(f840,plain,
    ( e4 != op(e1,op(op(e1,e2),op(e1,e2)))
    | e0 != op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
    | e5 != op(e1,e2)
    | e3 != op(op(e1,e2),op(e1,e2)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ~ ( e3 = op(op(e1,e2),op(e1,e2))
      & e4 = op(e1,op(op(e1,e2),op(e1,e2)))
      & e0 = op(op(e1,op(op(e1,e2),op(e1,e2))),op(e1,op(op(e1,e2),op(e1,e2))))
      & e5 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(f3072,plain,
    ( ~ spl0_83
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1670,f3069,f3065]) ).

fof(f1670,plain,
    ( e4 = inv(e5)
    | e5 != inv(e4) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f3063,plain,
    ( ~ spl0_79
    | ~ spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2087,f3060,f3056,f3052,f3048]) ).

fof(f2087,plain,
    ( e2 != op(e0,e4)
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e5 != op(op(e0,e4),op(e0,e4))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4))) ),
    inference(cnf_transformation,[],[f732]) ).

fof(f732,plain,
    ( e5 != op(op(e0,e4),op(e0,e4))
    | e3 != op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
    | e1 != op(e0,op(op(e0,e4),op(e0,e4)))
    | e2 != op(e0,e4) ),
    inference(ennf_transformation,[],[f453]) ).

fof(f453,axiom,
    ~ ( e2 = op(e0,e4)
      & e1 = op(e0,op(op(e0,e4),op(e0,e4)))
      & e3 = op(op(e0,op(op(e0,e4),op(e0,e4))),op(e0,op(op(e0,e4),op(e0,e4))))
      & e5 = op(op(e0,e4),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax453) ).

fof(f3046,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_8
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1814,f3043,f2738,f3039,f3035]) ).

fof(f1814,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1)
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(cnf_transformation,[],[f960]) ).

fof(f960,plain,
    ( e3 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1)
    | e5 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e0 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f641]) ).

fof(f641,axiom,
    ~ ( e0 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e4 = op(e2,e1)
      & e3 = op(op(e2,e1),op(e2,e1))
      & e5 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax641) ).

fof(f3033,plain,
    ( ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2051,f3030,f3026,f3022,f3018]) ).

fof(f2051,plain,
    ( e0 != op(e1,e4)
    | e3 != op(op(e1,e4),op(e1,e4))
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4)))) ),
    inference(cnf_transformation,[],[f845]) ).

fof(f845,plain,
    ( e5 != op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
    | e0 != op(e1,e4)
    | e2 != op(e1,op(op(e1,e4),op(e1,e4)))
    | e3 != op(op(e1,e4),op(e1,e4)) ),
    inference(ennf_transformation,[],[f721]) ).

fof(f721,axiom,
    ~ ( e3 = op(op(e1,e4),op(e1,e4))
      & e0 = op(e1,e4)
      & e5 = op(op(e1,op(op(e1,e4),op(e1,e4))),op(e1,op(op(e1,e4),op(e1,e4))))
      & e2 = op(e1,op(op(e1,e4),op(e1,e4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax721) ).

fof(f3016,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2491,f3013,f3009,f3005,f3001]) ).

fof(f2491,plain,
    ( e4 != op(op(e2,e0),op(e2,e0))
    | e3 != op(e2,e0)
    | e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(cnf_transformation,[],[f1010]) ).

fof(f1010,plain,
    ( e1 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e4 != op(op(e2,e0),op(e2,e0))
    | e5 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e3 != op(e2,e0) ),
    inference(ennf_transformation,[],[f615]) ).

fof(f615,axiom,
    ~ ( e1 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e3 = op(e2,e0)
      & e4 = op(op(e2,e0),op(e2,e0))
      & e5 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax615) ).

fof(f2999,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f2284,f2996]) ).

fof(f2996,plain,
    ( spl0_67
  <=> op(op(e2,e4),e0) = op(e2,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2284,plain,
    op(op(e2,e4),e0) = op(e2,op(e4,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2994,plain,
    ~ spl0_66,
    inference(avatar_split_clause,[],[f1964,f2991]) ).

fof(f2991,plain,
    ( spl0_66
  <=> op(e1,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1964,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f2989,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f2126,f2986]) ).

fof(f2986,plain,
    ( spl0_65
  <=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2126,plain,
    op(op(e1,e3),e3) = op(e1,op(e3,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2984,plain,
    ( ~ spl0_62
    | ~ spl0_55
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1828,f2981,f2977,f2943,f2973]) ).

fof(f1828,plain,
    ( e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e1 != op(e4,e3) ),
    inference(cnf_transformation,[],[f971]) ).

fof(f971,plain,
    ( e2 != op(op(e4,e3),op(e4,e3))
    | e5 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e0 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e1 != op(e4,e3) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ~ ( e1 = op(e4,e3)
      & e0 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
      & e2 = op(op(e4,e3),op(e4,e3))
      & e5 = op(e4,op(op(e4,e3),op(e4,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f2971,plain,
    ( ~ spl0_58
    | ~ spl0_59
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2487,f2968,f2964,f2960,f2956]) ).

fof(f2487,plain,
    ( e3 != op(op(e1,e0),op(e1,e0))
    | e4 != op(e1,e0)
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0))) ),
    inference(cnf_transformation,[],[f1003]) ).

fof(f1003,plain,
    ( e3 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,op(op(e1,e0),op(e1,e0)))
    | e5 != op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0))))
    | e4 != op(e1,e0) ),
    inference(ennf_transformation,[],[f623]) ).

fof(f623,axiom,
    ~ ( e2 = op(e1,op(op(e1,e0),op(e1,e0)))
      & e4 = op(e1,e0)
      & e3 = op(op(e1,e0),op(e1,e0))
      & e5 = op(op(e1,op(op(e1,e0),op(e1,e0))),op(e1,op(op(e1,e0),op(e1,e0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax623) ).

fof(f2954,plain,
    ( ~ spl0_54
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2369,f2951,f2947,f2943,f2939]) ).

fof(f2369,plain,
    ( e0 != op(e4,e3)
    | e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    inference(cnf_transformation,[],[f1051]) ).

fof(f1051,plain,
    ( e1 != op(e4,op(op(e4,e3),op(e4,e3)))
    | e5 != op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3))))
    | e2 != op(op(e4,e3),op(e4,e3))
    | e0 != op(e4,e3) ),
    inference(ennf_transformation,[],[f690]) ).

fof(f690,axiom,
    ~ ( e1 = op(e4,op(op(e4,e3),op(e4,e3)))
      & e0 = op(e4,e3)
      & e2 = op(op(e4,e3),op(e4,e3))
      & e5 = op(op(e4,op(op(e4,e3),op(e4,e3))),op(e4,op(op(e4,e3),op(e4,e3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax690) ).

fof(f2937,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f2231,f2934]) ).

fof(f2934,plain,
    ( spl0_53
  <=> op(op(e0,e4),e3) = op(e0,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2231,plain,
    op(op(e0,e4),e3) = op(e0,op(e4,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2932,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f2292,f2929]) ).

fof(f2929,plain,
    ( spl0_52
  <=> op(op(e3,e5),e0) = op(e3,op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2292,plain,
    op(op(e3,e5),e0) = op(e3,op(e5,e0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2927,plain,
    ( ~ spl0_48
    | ~ spl0_49
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2591,f2924,f2920,f2916,f2912]) ).

fof(f2591,plain,
    ( e5 != op(op(e2,e0),op(e2,e0))
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
    | e1 != op(e2,e0)
    | e4 != op(e2,op(op(e2,e0),op(e2,e0))) ),
    inference(cnf_transformation,[],[f1083]) ).

fof(f1083,plain,
    ( e4 != op(e2,op(op(e2,e0),op(e2,e0)))
    | e5 != op(op(e2,e0),op(e2,e0))
    | e1 != op(e2,e0)
    | e3 != op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0)))) ),
    inference(ennf_transformation,[],[f385]) ).

fof(f385,axiom,
    ~ ( e3 = op(op(e2,op(op(e2,e0),op(e2,e0))),op(e2,op(op(e2,e0),op(e2,e0))))
      & e5 = op(op(e2,e0),op(e2,e0))
      & e4 = op(e2,op(op(e2,e0),op(e2,e0)))
      & e1 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax385) ).

fof(f2910,plain,
    ( ~ spl0_44
    | ~ spl0_45
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2100,f2907,f2903,f2899,f2895]) ).

fof(f2100,plain,
    ( e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e2 != op(e1,e5)
    | e0 != op(e1,op(op(e1,e5),op(e1,e5)))
    | e4 != op(op(e1,e5),op(e1,e5)) ),
    inference(cnf_transformation,[],[f1394]) ).

fof(f1394,plain,
    ( e2 != op(e1,e5)
    | e4 != op(op(e1,e5),op(e1,e5))
    | e3 != op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
    | e0 != op(e1,op(op(e1,e5),op(e1,e5))) ),
    inference(ennf_transformation,[],[f471]) ).

fof(f471,axiom,
    ~ ( e4 = op(op(e1,e5),op(e1,e5))
      & e0 = op(e1,op(op(e1,e5),op(e1,e5)))
      & e3 = op(op(e1,op(op(e1,e5),op(e1,e5))),op(e1,op(op(e1,e5),op(e1,e5))))
      & e2 = op(e1,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax471) ).

fof(f2893,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f2218,f2890]) ).

fof(f2890,plain,
    ( spl0_43
  <=> op(op(e2,e5),e3) = op(e2,op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2218,plain,
    op(op(e2,e5),e3) = op(e2,op(e5,e3)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2888,plain,
    ( ~ spl0_39
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2566,f2885,f2881,f2877,f2873]) ).

fof(f2566,plain,
    ( e1 != op(e5,e2)
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e4 != op(op(e5,e2),op(e5,e2))
    | e0 != op(e5,op(op(e5,e2),op(e5,e2))) ),
    inference(cnf_transformation,[],[f991]) ).

fof(f991,plain,
    ( e0 != op(e5,op(op(e5,e2),op(e5,e2)))
    | e4 != op(op(e5,e2),op(e5,e2))
    | e3 != op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
    | e1 != op(e5,e2) ),
    inference(ennf_transformation,[],[f420]) ).

fof(f420,axiom,
    ~ ( e4 = op(op(e5,e2),op(e5,e2))
      & e3 = op(op(e5,op(op(e5,e2),op(e5,e2))),op(e5,op(op(e5,e2),op(e5,e2))))
      & e0 = op(e5,op(op(e5,e2),op(e5,e2)))
      & e1 = op(e5,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax420) ).

fof(f2871,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f1694,f2868,f2864]) ).

fof(f1694,plain,
    ( e4 = inv(e3)
    | e3 != inv(e4) ),
    inference(cnf_transformation,[],[f1244]) ).

fof(f2862,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f2124,f2859]) ).

fof(f2859,plain,
    ( spl0_36
  <=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2124,plain,
    op(op(e3,e1),e2) = op(e3,op(e1,e2)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2857,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1457,f2854,f2850,f2846,f2842]) ).

fof(f1457,plain,
    ( e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e4 != op(e2,e5)
    | e1 != op(op(e2,e5),op(e2,e5))
    | e3 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(cnf_transformation,[],[f1064]) ).

fof(f1064,plain,
    ( e0 != op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
    | e1 != op(op(e2,e5),op(e2,e5))
    | e4 != op(e2,e5)
    | e3 != op(e2,op(op(e2,e5),op(e2,e5))) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,axiom,
    ~ ( e0 = op(op(e2,op(op(e2,e5),op(e2,e5))),op(e2,op(op(e2,e5),op(e2,e5))))
      & e3 = op(e2,op(op(e2,e5),op(e2,e5)))
      & e1 = op(op(e2,e5),op(e2,e5))
      & e4 = op(e2,e5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).

fof(f2840,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2405,f2837,f2833,f2829,f2825]) ).

fof(f2405,plain,
    ( e5 != op(op(e3,e4),op(e3,e4))
    | e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,e4) ),
    inference(cnf_transformation,[],[f931]) ).

fof(f931,plain,
    ( e1 != op(e3,op(op(e3,e4),op(e3,e4)))
    | e5 != op(op(e3,e4),op(e3,e4))
    | e0 != op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
    | e2 != op(e3,e4) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ~ ( e1 = op(e3,op(op(e3,e4),op(e3,e4)))
      & e5 = op(op(e3,e4),op(e3,e4))
      & e0 = op(op(e3,op(op(e3,e4),op(e3,e4))),op(e3,op(op(e3,e4),op(e3,e4))))
      & e2 = op(e3,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f2823,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2621,f2820,f2816,f2812,f2808]) ).

fof(f2621,plain,
    ( e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e1 != op(e4,op(op(e4,e5),op(e4,e5)))
    | e0 != op(op(e4,e5),op(e4,e5))
    | e3 != op(e4,e5) ),
    inference(cnf_transformation,[],[f1415]) ).

fof(f1415,plain,
    ( e0 != op(op(e4,e5),op(e4,e5))
    | e2 != op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5))))
    | e3 != op(e4,e5)
    | e1 != op(e4,op(op(e4,e5),op(e4,e5))) ),
    inference(ennf_transformation,[],[f356]) ).

fof(f356,axiom,
    ~ ( e1 = op(e4,op(op(e4,e5),op(e4,e5)))
      & e3 = op(e4,e5)
      & e0 = op(op(e4,e5),op(e4,e5))
      & e2 = op(op(e4,op(op(e4,e5),op(e4,e5))),op(e4,op(op(e4,e5),op(e4,e5)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax356) ).

fof(f2806,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f2197,f2803]) ).

fof(f2803,plain,
    ( spl0_23
  <=> op(op(e2,e4),e5) = op(e2,op(e4,e5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2197,plain,
    op(op(e2,e4),e5) = op(e2,op(e4,e5)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2801,plain,
    ( ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2676,f2719,f2798,f2794,f2790]) ).

fof(f2676,plain,
    ( e4 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(e0,e3) ),
    inference(cnf_transformation,[],[f1165]) ).

fof(f1165,plain,
    ( e1 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e5 != op(e0,e3)
    | e2 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e4 != op(op(e0,e3),op(e0,e3)) ),
    inference(ennf_transformation,[],[f191]) ).

fof(f191,axiom,
    ~ ( e5 = op(e0,e3)
      & e1 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e2 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e4 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax191) ).

fof(f2788,plain,
    ~ spl0_19,
    inference(avatar_split_clause,[],[f1912,f2785]) ).

fof(f2785,plain,
    ( spl0_19
  <=> op(e1,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1912,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f2783,plain,
    ( spl0_13
    | spl0_14
    | spl0_15
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f1751,f2780,f2776,f2772,f2768,f2764,f2760]) ).

fof(f2776,plain,
    ( spl0_17
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2780,plain,
    ( spl0_18
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1751,plain,
    ( e3 = op(e3,e0)
    | e0 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e5 = op(e3,e0)
    | e4 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2758,plain,
    ( ~ spl0_11
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1786,f2742,f2755,f2734,f2751]) ).

fof(f1786,plain,
    ( e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e5 != op(op(e2,e1),op(e2,e1))
    | e3 != op(e2,e1) ),
    inference(cnf_transformation,[],[f828]) ).

fof(f828,plain,
    ( e4 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e5 != op(op(e2,e1),op(e2,e1))
    | e3 != op(e2,e1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e3 = op(e2,e1)
      & e5 = op(op(e2,e1),op(e2,e1))
      & e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e4 = op(e2,op(op(e2,e1),op(e2,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f2749,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1617,f2746,f2742,f2738,f2734]) ).

fof(f1617,plain,
    ( e3 != op(e2,op(op(e2,e1),op(e2,e1)))
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e4 != op(e2,e1)
    | e5 != op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f1125]) ).

fof(f1125,plain,
    ( e5 != op(op(e2,e1),op(e2,e1))
    | e4 != op(e2,e1)
    | e0 != op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
    | e3 != op(e2,op(op(e2,e1),op(e2,e1))) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e5 = op(op(e2,e1),op(e2,e1))
      & e0 = op(op(e2,op(op(e2,e1),op(e2,e1))),op(e2,op(op(e2,e1),op(e2,e1))))
      & e3 = op(e2,op(op(e2,e1),op(e2,e1)))
      & e4 = op(e2,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f2732,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f2276,f2729]) ).

fof(f2729,plain,
    ( spl0_6
  <=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2276,plain,
    op(op(e2,e1),e1) = op(e2,op(e1,e1)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2727,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f1913,f2724]) ).

fof(f2724,plain,
    ( spl0_5
  <=> op(e0,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1913,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f2722,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2497,f2719,f2715,f2711,f2707]) ).

fof(f2497,plain,
    ( e4 != op(op(e0,e3),op(e0,e3))
    | e2 != op(e0,e3)
    | e1 != op(e0,op(op(e0,e3),op(e0,e3)))
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3)))) ),
    inference(cnf_transformation,[],[f761]) ).

fof(f761,plain,
    ( e4 != op(op(e0,e3),op(e0,e3))
    | e5 != op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
    | e2 != op(e0,e3)
    | e1 != op(e0,op(op(e0,e3),op(e0,e3))) ),
    inference(ennf_transformation,[],[f693]) ).

fof(f693,axiom,
    ~ ( e2 = op(e0,e3)
      & e1 = op(e0,op(op(e0,e3),op(e0,e3)))
      & e5 = op(op(e0,op(op(e0,e3),op(e0,e3))),op(e0,op(op(e0,e3),op(e0,e3))))
      & e4 = op(op(e0,e3),op(e0,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax693) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG035+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 15:02:49 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.83/0.58  % (24136)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)
% 0.83/0.58  % (24128)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)
% 0.83/0.59  % (24120)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)
% 0.83/0.61  % (24124)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.83/0.61  % (24116)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)
% 0.83/0.62  % (24131)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 0.83/0.62  % (24123)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)
% 0.83/0.62  % (24126)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 0.83/0.62  % (24119)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)
% 0.83/0.62  % (24143)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)
% 0.83/0.63  % (24121)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.83/0.63  % (24121)Instruction limit reached!
% 0.83/0.63  % (24121)------------------------------
% 0.83/0.63  % (24121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.83/0.63  % (24137)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)
% 0.83/0.63  % (24121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.83/0.63  % (24121)Termination reason: Unknown
% 0.83/0.63  % (24121)Termination phase: Preprocessing 2
% 0.83/0.63  
% 0.83/0.63  % (24121)Memory used [KB]: 1791
% 0.83/0.63  % (24121)Time elapsed: 0.006 s
% 0.83/0.63  % (24121)Instructions burned: 8 (million)
% 0.83/0.63  % (24121)------------------------------
% 0.83/0.63  % (24121)------------------------------
% 0.83/0.63  % (24129)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)
% 0.83/0.64  % (24135)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 0.83/0.64  % (24125)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)
% 0.83/0.64  % (24115)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)
% 0.83/0.64  % (24118)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.83/0.64  % (24142)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 0.83/0.64  % (24122)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.83/0.64  % (24122)Instruction limit reached!
% 0.83/0.64  % (24122)------------------------------
% 0.83/0.64  % (24122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.83/0.64  % (24122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.83/0.64  % (24122)Termination reason: Unknown
% 0.83/0.64  % (24122)Termination phase: shuffling
% 0.83/0.64  
% 0.83/0.64  % (24122)Memory used [KB]: 1663
% 0.83/0.64  % (24122)Time elapsed: 0.003 s
% 0.83/0.64  % (24122)Instructions burned: 2 (million)
% 0.83/0.64  % (24122)------------------------------
% 0.83/0.64  % (24122)------------------------------
% 0.83/0.64  % (24117)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)
% 0.83/0.64  % (24120)Instruction limit reached!
% 0.83/0.64  % (24120)------------------------------
% 0.83/0.64  % (24120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.83/0.64  % (24120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.83/0.64  % (24120)Termination reason: Unknown
% 0.83/0.64  % (24120)Termination phase: Property scanning
% 0.83/0.64  
% 0.83/0.64  % (24120)Memory used [KB]: 2430
% 0.83/0.64  % (24120)Time elapsed: 0.028 s
% 0.83/0.64  % (24120)Instructions burned: 51 (million)
% 0.83/0.64  % (24120)------------------------------
% 0.83/0.64  % (24120)------------------------------
% 1.53/0.65  % (24138)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.53/0.65  % (24141)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)
% 1.53/0.65  % (24134)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)
% 1.53/0.65  % (24140)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)
% 1.53/0.65  % (24139)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.53/0.66  % (24133)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)
% 1.53/0.66  % (24127)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.53/0.66  % (24132)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.53/0.66  % (24116)Instruction limit reached!
% 1.53/0.66  % (24116)------------------------------
% 1.53/0.66  % (24116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.66  % (24116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.66  % (24116)Termination reason: Unknown
% 1.53/0.66  % (24116)Termination phase: Property scanning
% 1.53/0.66  
% 1.53/0.66  % (24116)Memory used [KB]: 2430
% 1.53/0.66  % (24116)Time elapsed: 0.017 s
% 1.53/0.66  % (24116)Instructions burned: 38 (million)
% 1.53/0.66  % (24116)------------------------------
% 1.53/0.66  % (24116)------------------------------
% 1.53/0.66  % (24114)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)
% 1.53/0.66  % (24124)Instruction limit reached!
% 1.53/0.66  % (24124)------------------------------
% 1.53/0.66  % (24124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.67  % (24128)Instruction limit reached!
% 1.53/0.67  % (24128)------------------------------
% 1.53/0.67  % (24128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.67  % (24128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.67  % (24128)Termination reason: Unknown
% 1.53/0.67  % (24128)Termination phase: Saturation
% 1.53/0.67  
% 1.53/0.67  % (24128)Memory used [KB]: 7803
% 1.53/0.67  % (24128)Time elapsed: 0.039 s
% 1.53/0.67  % (24128)Instructions burned: 69 (million)
% 1.53/0.67  % (24128)------------------------------
% 1.53/0.67  % (24128)------------------------------
% 1.53/0.67  % (24124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.67  % (24124)Termination reason: Unknown
% 1.53/0.67  % (24124)Termination phase: Property scanning
% 1.53/0.67  
% 1.53/0.67  % (24124)Memory used [KB]: 2430
% 1.53/0.67  % (24124)Time elapsed: 0.020 s
% 1.53/0.67  % (24124)Instructions burned: 53 (million)
% 1.53/0.67  % (24124)------------------------------
% 1.53/0.67  % (24124)------------------------------
% 1.53/0.67  % (24130)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)
% 1.53/0.68  % (24123)Instruction limit reached!
% 1.53/0.68  % (24123)------------------------------
% 1.53/0.68  % (24123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.68  % (24131)Instruction limit reached!
% 1.53/0.68  % (24131)------------------------------
% 1.53/0.68  % (24131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.69  % (24115)Instruction limit reached!
% 1.85/0.69  % (24115)------------------------------
% 1.85/0.69  % (24115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.69  % (24123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.69  % (24115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.69  % (24115)Termination reason: Unknown
% 1.85/0.69  % (24115)Termination phase: Property scanning
% 1.85/0.69  % (24123)Termination reason: Unknown
% 1.85/0.69  
% 1.85/0.69  % (24123)Termination phase: Property scanning
% 1.85/0.69  % (24115)Memory used [KB]: 2430
% 1.85/0.69  
% 1.85/0.69  % (24123)Memory used [KB]: 2430
% 1.85/0.69  % (24115)Time elapsed: 0.020 s
% 1.85/0.69  % (24123)Time elapsed: 0.020 s
% 1.85/0.69  % (24115)Instructions burned: 50 (million)
% 1.85/0.69  % (24123)Instructions burned: 54 (million)
% 1.85/0.69  % (24115)------------------------------
% 1.85/0.69  % (24115)------------------------------
% 1.85/0.69  % (24123)------------------------------
% 1.85/0.69  % (24123)------------------------------
% 1.85/0.70  % (24118)Instruction limit reached!
% 1.85/0.70  % (24118)------------------------------
% 1.85/0.70  % (24118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.70  % (24119)Instruction limit reached!
% 1.85/0.70  % (24119)------------------------------
% 1.85/0.70  % (24119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.70  % (24131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.70  % (24131)Termination reason: Unknown
% 1.85/0.70  % (24131)Termination phase: Property scanning
% 1.85/0.70  
% 1.85/0.70  % (24131)Memory used [KB]: 2430
% 1.85/0.70  % (24131)Time elapsed: 0.023 s
% 1.85/0.70  % (24131)Instructions burned: 59 (million)
% 1.85/0.70  % (24131)------------------------------
% 1.85/0.70  % (24131)------------------------------
% 1.85/0.70  % (24117)Instruction limit reached!
% 1.85/0.70  % (24117)------------------------------
% 1.85/0.70  % (24117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.71  % (24119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.71  % (24119)Termination reason: Unknown
% 1.85/0.71  % (24119)Termination phase: Property scanning
% 1.85/0.71  
% 1.85/0.71  % (24119)Memory used [KB]: 2430
% 1.85/0.71  % (24119)Time elapsed: 0.021 s
% 1.85/0.71  % (24119)Instructions burned: 49 (million)
% 1.85/0.71  % (24119)------------------------------
% 1.85/0.71  % (24119)------------------------------
% 1.85/0.71  % (24118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.71  % (24118)Termination reason: Unknown
% 1.85/0.71  % (24118)Termination phase: Property scanning
% 1.85/0.71  
% 1.85/0.71  % (24118)Memory used [KB]: 2430
% 1.85/0.71  % (24118)Time elapsed: 0.020 s
% 1.85/0.71  % (24118)Instructions burned: 52 (million)
% 1.85/0.71  % (24118)------------------------------
% 1.85/0.71  % (24118)------------------------------
% 1.85/0.72  % (24117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.72  % (24117)Termination reason: Unknown
% 1.85/0.72  % (24117)Termination phase: Property scanning
% 1.85/0.72  
% 1.85/0.72  % (24117)Memory used [KB]: 2814
% 1.85/0.72  % (24117)Time elapsed: 0.020 s
% 1.85/0.72  % (24117)Instructions burned: 52 (million)
% 1.85/0.72  % (24117)------------------------------
% 1.85/0.72  % (24117)------------------------------
% 1.85/0.72  % (24129)Instruction limit reached!
% 1.85/0.72  % (24129)------------------------------
% 1.85/0.72  % (24129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.72  % (24129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.73  % (24129)Termination reason: Unknown
% 1.85/0.73  % (24129)Termination phase: Saturation
% 1.85/0.73  
% 1.85/0.73  % (24129)Memory used [KB]: 2686
% 1.85/0.73  % (24129)Time elapsed: 0.079 s
% 1.85/0.73  % (24129)Instructions burned: 75 (million)
% 1.85/0.73  % (24129)------------------------------
% 1.85/0.73  % (24129)------------------------------
% 1.85/0.73  % (24140)Instruction limit reached!
% 1.85/0.73  % (24140)------------------------------
% 1.85/0.73  % (24140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.73  % (24140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.73  % (24140)Termination reason: Unknown
% 1.85/0.73  % (24140)Termination phase: Saturation
% 1.85/0.73  
% 1.85/0.73  % (24140)Memory used [KB]: 7803
% 1.85/0.73  % (24140)Time elapsed: 0.026 s
% 1.85/0.73  % (24140)Instructions burned: 70 (million)
% 1.85/0.73  % (24140)------------------------------
% 1.85/0.73  % (24140)------------------------------
% 2.22/0.76  % (24144)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)
% 2.22/0.77  % (24125)Instruction limit reached!
% 2.22/0.77  % (24125)------------------------------
% 2.22/0.77  % (24125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.77  % (24125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.77  % (24125)Termination reason: Unknown
% 2.22/0.77  % (24125)Termination phase: Saturation
% 2.22/0.77  
% 2.22/0.77  % (24125)Memory used [KB]: 8955
% 2.22/0.77  % (24125)Time elapsed: 0.044 s
% 2.22/0.77  % (24125)Instructions burned: 101 (million)
% 2.22/0.77  % (24125)------------------------------
% 2.22/0.77  % (24125)------------------------------
% 2.22/0.77  % (24126)Instruction limit reached!
% 2.22/0.77  % (24126)------------------------------
% 2.22/0.77  % (24126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.77  % (24126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.77  % (24126)Termination reason: Unknown
% 2.22/0.77  % (24126)Termination phase: Saturation
% 2.22/0.77  
% 2.22/0.77  % (24126)Memory used [KB]: 8571
% 2.22/0.77  % (24126)Time elapsed: 0.043 s
% 2.22/0.77  % (24126)Instructions burned: 102 (million)
% 2.22/0.77  % (24126)------------------------------
% 2.22/0.77  % (24126)------------------------------
% 2.22/0.78  % (24145)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 (2996ds/211Mi)
% 2.22/0.78  % (24146)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)
% 2.22/0.78  % (24132)Instruction limit reached!
% 2.22/0.78  % (24132)------------------------------
% 2.22/0.78  % (24132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.78  % (24132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.78  % (24132)Termination reason: Unknown
% 2.22/0.78  % (24132)Termination phase: Saturation
% 2.22/0.78  
% 2.22/0.78  % (24132)Memory used [KB]: 8443
% 2.22/0.78  % (24132)Time elapsed: 0.041 s
% 2.22/0.78  % (24132)Instructions burned: 101 (million)
% 2.22/0.78  % (24132)------------------------------
% 2.22/0.78  % (24132)------------------------------
% 2.22/0.79  % (24133)Instruction limit reached!
% 2.22/0.79  % (24133)------------------------------
% 2.22/0.79  % (24133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.79  % (24133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.79  % (24133)Termination reason: Unknown
% 2.22/0.79  % (24133)Termination phase: Saturation
% 2.22/0.79  
% 2.22/0.79  % (24133)Memory used [KB]: 2686
% 2.22/0.79  % (24133)Time elapsed: 0.040 s
% 2.22/0.79  % (24133)Instructions burned: 100 (million)
% 2.22/0.79  % (24133)------------------------------
% 2.22/0.79  % (24133)------------------------------
% 2.22/0.79  % (24127)Instruction limit reached!
% 2.22/0.79  % (24127)------------------------------
% 2.22/0.79  % (24127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.79  % (24127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.79  % (24127)Termination reason: Unknown
% 2.22/0.79  % (24127)Termination phase: Saturation
% 2.22/0.79  
% 2.22/0.79  % (24127)Memory used [KB]: 8443
% 2.22/0.79  % (24127)Time elapsed: 0.042 s
% 2.22/0.79  % (24127)Instructions burned: 99 (million)
% 2.22/0.79  % (24127)------------------------------
% 2.22/0.79  % (24127)------------------------------
% 2.22/0.79  % (24148)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.22/0.80  % (24130)Instruction limit reached!
% 2.22/0.80  % (24130)------------------------------
% 2.22/0.80  % (24130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.80  % (24130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.80  % (24130)Termination reason: Unknown
% 2.22/0.80  % (24130)Termination phase: Saturation
% 2.22/0.80  
% 2.22/0.80  % (24130)Memory used [KB]: 8955
% 2.22/0.80  % (24130)Time elapsed: 0.289 s
% 2.22/0.80  % (24130)Instructions burned: 101 (million)
% 2.22/0.80  % (24130)------------------------------
% 2.22/0.80  % (24130)------------------------------
% 2.22/0.80  % (24149)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)
% 2.47/0.81  % (24147)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.47/0.82  % (24150)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)
% 2.47/0.83  % (24151)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)
% 2.47/0.83  % (24152)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)
% 2.47/0.84  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.47/0.84  % (24153)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)
% 2.47/0.84  % (24135)Instruction limit reached!
% 2.47/0.84  % (24135)------------------------------
% 2.47/0.84  % (24135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.84  % (24135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.84  % (24135)Termination reason: Unknown
% 2.47/0.84  % (24135)Termination phase: Saturation
% 2.47/0.84  
% 2.47/0.84  % (24135)Memory used [KB]: 9210
% 2.47/0.84  % (24135)Time elapsed: 0.062 s
% 2.47/0.84  % (24135)Instructions burned: 138 (million)
% 2.47/0.84  % (24135)------------------------------
% 2.47/0.84  % (24135)------------------------------
% 2.47/0.84  % (24154)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)
% 2.47/0.84  % (24155)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)
% 2.47/0.85  % (24156)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.58/0.86  % (24157)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)
% 2.58/0.89  % (24146)Instruction limit reached!
% 2.58/0.89  % (24146)------------------------------
% 2.58/0.89  % (24146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.89  % (24146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.89  % (24146)Termination reason: Unknown
% 2.58/0.89  % (24146)Termination phase: Saturation
% 2.58/0.89  
% 2.58/0.89  % (24146)Memory used [KB]: 8315
% 2.58/0.89  % (24146)Time elapsed: 0.032 s
% 2.58/0.89  % (24146)Instructions burned: 90 (million)
% 2.58/0.89  % (24146)------------------------------
% 2.58/0.89  % (24146)------------------------------
% 2.58/0.91  % (24134)Instruction limit reached!
% 2.58/0.91  % (24134)------------------------------
% 2.58/0.91  % (24134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.91  % (24134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.91  % (24134)Termination reason: Unknown
% 2.58/0.91  % (24134)Termination phase: Saturation
% 2.58/0.91  
% 2.58/0.91  % (24134)Memory used [KB]: 9594
% 2.58/0.91  % (24134)Time elapsed: 0.080 s
% 2.58/0.91  % (24134)Instructions burned: 177 (million)
% 2.58/0.91  % (24134)------------------------------
% 2.58/0.91  % (24134)------------------------------
% 2.58/0.91  % (24158)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)
% 2.58/0.91  % (24159)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.58/0.91  % (24151)Instruction limit reached!
% 2.58/0.91  % (24151)------------------------------
% 2.58/0.91  % (24151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.91  % (24151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.91  % (24151)Termination reason: Unknown
% 2.58/0.91  % (24151)Termination phase: Saturation
% 2.58/0.91  
% 2.58/0.91  % (24151)Memory used [KB]: 7675
% 2.58/0.91  % (24151)Time elapsed: 0.026 s
% 2.58/0.91  % (24151)Instructions burned: 68 (million)
% 2.58/0.91  % (24151)------------------------------
% 2.58/0.91  % (24151)------------------------------
% 2.58/0.91  % (24141)Instruction limit reached!
% 2.58/0.91  % (24141)------------------------------
% 2.58/0.91  % (24141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.91  % (24141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.91  % (24141)Termination reason: Unknown
% 2.58/0.91  % (24141)Termination phase: Saturation
% 2.58/0.91  
% 2.58/0.91  % (24141)Memory used [KB]: 3837
% 2.58/0.91  % (24141)Time elapsed: 0.083 s
% 2.58/0.91  % (24141)Instructions burned: 178 (million)
% 2.58/0.91  % (24141)------------------------------
% 2.58/0.91  % (24141)------------------------------
% 2.58/0.92  % (24161)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)
% 2.58/0.92  % (24162)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)
% 2.58/0.93  % (24160)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)
% 2.58/0.93  % (24163)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)
% 2.93/0.95  % (24154)Instruction limit reached!
% 2.93/0.95  % (24154)------------------------------
% 2.93/0.95  % (24154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.95  % (24154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.95  % (24154)Termination reason: Unknown
% 2.93/0.95  % (24154)Termination phase: Saturation
% 2.93/0.95  
% 2.93/0.95  % (24154)Memory used [KB]: 8315
% 2.93/0.95  % (24154)Time elapsed: 0.034 s
% 2.93/0.95  % (24154)Instructions burned: 91 (million)
% 2.93/0.95  % (24154)------------------------------
% 2.93/0.95  % (24154)------------------------------
% 2.93/0.98  % (24164)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.06/1.00  % (24161)Instruction limit reached!
% 3.06/1.00  % (24161)------------------------------
% 3.06/1.00  % (24161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/1.00  % (24161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/1.00  % (24161)Termination reason: Unknown
% 3.06/1.00  % (24161)Termination phase: Saturation
% 3.06/1.00  
% 3.06/1.00  % (24161)Memory used [KB]: 7675
% 3.06/1.00  % (24161)Time elapsed: 0.025 s
% 3.06/1.00  % (24161)Instructions burned: 69 (million)
% 3.06/1.00  % (24161)------------------------------
% 3.06/1.00  % (24161)------------------------------
% 3.06/1.02  TRYING [6]
% 3.06/1.03  % (24166)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.06/1.03  % (24145)Instruction limit reached!
% 3.06/1.03  % (24145)------------------------------
% 3.06/1.03  % (24145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/1.03  % (24145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/1.03  % (24145)Termination reason: Unknown
% 3.06/1.03  % (24145)Termination phase: Saturation
% 3.06/1.03  
% 3.06/1.03  % (24145)Memory used [KB]: 4349
% 3.06/1.03  % (24145)Time elapsed: 0.295 s
% 3.06/1.03  % (24145)Instructions burned: 211 (million)
% 3.06/1.03  % (24145)------------------------------
% 3.06/1.03  % (24145)------------------------------
% 3.38/1.04  % (24167)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)
% 3.38/1.05  % (24168)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)
% 3.38/1.05  % (24169)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.79/1.09  % (24170)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)
% 5.28/1.15  % (24143)Instruction limit reached!
% 5.28/1.15  % (24143)------------------------------
% 5.28/1.15  % (24143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.28/1.15  % (24143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.28/1.15  % (24143)Termination reason: Unknown
% 5.28/1.15  % (24143)Termination phase: Saturation
% 5.28/1.15  
% 5.28/1.15  % (24143)Memory used [KB]: 14711
% 5.28/1.15  % (24143)Time elapsed: 0.157 s
% 5.28/1.15  % (24143)Instructions burned: 355 (million)
% 5.28/1.15  % (24143)------------------------------
% 5.28/1.15  % (24143)------------------------------
% 5.28/1.16  % (24167)Instruction limit reached!
% 5.28/1.16  % (24167)------------------------------
% 5.28/1.16  % (24167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.67/1.18  % (24167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.67/1.18  % (24167)Termination reason: Unknown
% 5.67/1.18  % (24167)Termination phase: Saturation
% 5.67/1.18  
% 5.67/1.18  % (24167)Memory used [KB]: 8443
% 5.67/1.18  % (24167)Time elapsed: 0.034 s
% 5.67/1.18  % (24167)Instructions burned: 92 (million)
% 5.67/1.18  % (24167)------------------------------
% 5.67/1.18  % (24167)------------------------------
% 5.67/1.18  % (24171)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)
% 5.67/1.20  % (24172)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 (2993ds/9902Mi)
% 6.29/1.28  % (24176)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 (2991ds/1824Mi)
% 6.47/1.31  % (24144)Instruction limit reached!
% 6.47/1.31  % (24144)------------------------------
% 6.47/1.31  % (24144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.47/1.31  % (24144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.47/1.31  % (24144)Termination reason: Unknown
% 6.47/1.31  % (24144)Termination phase: Saturation
% 6.47/1.31  
% 6.47/1.31  % (24144)Memory used [KB]: 10490
% 6.47/1.31  % (24144)Time elapsed: 0.656 s
% 6.47/1.31  % (24144)Instructions burned: 390 (million)
% 6.47/1.31  % (24144)------------------------------
% 6.47/1.31  % (24144)------------------------------
% 6.47/1.32  % (24177)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.90/1.34  % (24136)Instruction limit reached!
% 6.90/1.34  % (24136)------------------------------
% 6.90/1.34  % (24136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.90/1.34  % (24136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.90/1.34  % (24136)Termination reason: Unknown
% 6.90/1.34  % (24136)Termination phase: Saturation
% 6.90/1.34  
% 6.90/1.34  % (24136)Memory used [KB]: 4477
% 6.90/1.34  % (24136)Time elapsed: 0.801 s
% 6.90/1.34  % (24136)Instructions burned: 498 (million)
% 6.90/1.34  % (24136)------------------------------
% 6.90/1.34  % (24136)------------------------------
% 7.05/1.35  % (24142)Instruction limit reached!
% 7.05/1.35  % (24142)------------------------------
% 7.05/1.35  % (24142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.35  % (24142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.35  % (24142)Termination reason: Unknown
% 7.05/1.35  % (24142)Termination phase: Saturation
% 7.05/1.35  
% 7.05/1.35  % (24142)Memory used [KB]: 13432
% 7.05/1.35  % (24142)Time elapsed: 0.207 s
% 7.05/1.35  % (24142)Instructions burned: 441 (million)
% 7.05/1.35  % (24142)------------------------------
% 7.05/1.35  % (24142)------------------------------
% 7.05/1.35  % (24137)Instruction limit reached!
% 7.05/1.35  % (24137)------------------------------
% 7.05/1.35  % (24137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.35  % (24137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.35  % (24137)Termination reason: Unknown
% 7.05/1.35  % (24137)Termination phase: Saturation
% 7.05/1.35  
% 7.05/1.35  % (24137)Memory used [KB]: 13816
% 7.05/1.35  % (24137)Time elapsed: 0.245 s
% 7.05/1.35  % (24137)Instructions burned: 467 (million)
% 7.05/1.35  % (24137)------------------------------
% 7.05/1.35  % (24137)------------------------------
% 7.05/1.38  % (24139)Instruction limit reached!
% 7.05/1.38  % (24139)------------------------------
% 7.05/1.38  % (24139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.38  % (24139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.38  % (24139)Termination reason: Unknown
% 7.05/1.38  % (24139)Termination phase: Saturation
% 7.05/1.38  
% 7.05/1.38  % (24139)Memory used [KB]: 11129
% 7.05/1.38  % (24139)Time elapsed: 0.886 s
% 7.05/1.38  % (24139)Instructions burned: 501 (million)
% 7.05/1.38  % (24139)------------------------------
% 7.05/1.38  % (24139)------------------------------
% 7.51/1.46  % (24178)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.81/1.47  % (24179)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)
% 7.81/1.48  % (24138)Instruction limit reached!
% 7.81/1.48  % (24138)------------------------------
% 7.81/1.48  % (24138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.81/1.48  % (24138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.81/1.48  % (24138)Termination reason: Unknown
% 7.81/1.48  % (24138)Termination phase: Saturation
% 7.81/1.48  
% 7.81/1.48  % (24138)Memory used [KB]: 13816
% 7.81/1.48  % (24138)Time elapsed: 0.235 s
% 7.81/1.48  % (24138)Instructions burned: 484 (million)
% 7.81/1.48  % (24138)------------------------------
% 7.81/1.48  % (24138)------------------------------
% 7.81/1.49  % (24181)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)
% 7.81/1.49  % (24180)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)
% 8.31/1.55  % (24182)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)
% 8.47/1.58  % (24179)Instruction limit reached!
% 8.47/1.58  % (24179)------------------------------
% 8.47/1.58  % (24179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.47/1.58  % (24179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.47/1.58  % (24179)Termination reason: Unknown
% 8.47/1.58  % (24179)Termination phase: Saturation
% 8.47/1.58  
% 8.47/1.58  % (24179)Memory used [KB]: 8443
% 8.47/1.58  % (24179)Time elapsed: 0.033 s
% 8.47/1.58  % (24179)Instructions burned: 92 (million)
% 8.47/1.58  % (24179)------------------------------
% 8.47/1.58  % (24179)------------------------------
% 9.41/1.65  % (24183)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 (2988ds/32293Mi)
% 9.53/1.73  % (24184)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)
% 10.37/1.83  % (24150)Instruction limit reached!
% 10.37/1.83  % (24150)------------------------------
% 10.37/1.83  % (24150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.37/1.83  % (24150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.37/1.83  % (24150)Termination reason: Unknown
% 10.37/1.83  % (24150)Termination phase: Saturation
% 10.37/1.83  
% 10.37/1.83  % (24150)Memory used [KB]: 5117
% 10.37/1.83  % (24150)Time elapsed: 1.079 s
% 10.37/1.83  % (24150)Instructions burned: 655 (million)
% 10.37/1.83  % (24150)------------------------------
% 10.37/1.83  % (24150)------------------------------
% 11.89/1.98  % (24185)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/10187Mi)
% 11.89/2.02  % (24149)Instruction limit reached!
% 11.89/2.02  % (24149)------------------------------
% 11.89/2.02  % (24149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.89/2.02  % (24149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.89/2.02  % (24149)Termination reason: Unknown
% 11.89/2.02  % (24149)Termination phase: Saturation
% 11.89/2.02  
% 11.89/2.02  % (24149)Memory used [KB]: 16886
% 11.89/2.02  % (24149)Time elapsed: 0.355 s
% 11.89/2.02  % (24149)Instructions burned: 747 (million)
% 11.89/2.02  % (24149)------------------------------
% 11.89/2.02  % (24149)------------------------------
% 13.62/2.18  % (24186)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/29337Mi)
% 13.62/2.22  % (24148)Instruction limit reached!
% 13.62/2.22  % (24148)------------------------------
% 13.62/2.22  % (24148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.62/2.22  % (24148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.62/2.22  % (24148)Termination reason: Unknown
% 13.62/2.22  % (24148)Termination phase: Saturation
% 13.62/2.22  
% 13.62/2.22  % (24148)Memory used [KB]: 13176
% 13.62/2.22  % (24148)Time elapsed: 1.533 s
% 13.62/2.22  % (24148)Instructions burned: 935 (million)
% 13.62/2.22  % (24148)------------------------------
% 13.62/2.22  % (24148)------------------------------
% 14.40/2.28  % (24152)Instruction limit reached!
% 14.40/2.28  % (24152)------------------------------
% 14.40/2.28  % (24152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.40/2.28  % (24152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.40/2.28  % (24152)Termination reason: Unknown
% 14.40/2.28  % (24152)Termination phase: Saturation
% 14.40/2.28  
% 14.40/2.28  % (24152)Memory used [KB]: 14711
% 14.40/2.28  % (24152)Time elapsed: 1.534 s
% 14.40/2.28  % (24152)Instructions burned: 940 (million)
% 14.40/2.28  % (24152)------------------------------
% 14.40/2.28  % (24152)------------------------------
% 14.40/2.33  % (24147)Instruction limit reached!
% 14.40/2.33  % (24147)------------------------------
% 14.40/2.33  % (24147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.40/2.33  % (24147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.40/2.33  % (24147)Termination reason: Unknown
% 14.40/2.33  % (24147)Termination phase: Saturation
% 14.40/2.33  
% 14.40/2.33  % (24147)Memory used [KB]: 18549
% 14.40/2.33  % (24147)Time elapsed: 0.447 s
% 14.40/2.33  % (24147)Instructions burned: 921 (million)
% 14.40/2.33  % (24147)------------------------------
% 14.40/2.33  % (24147)------------------------------
% 15.03/2.37  % (24187)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/10147Mi)
% 15.03/2.42  % (24188)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/38056Mi)
% 15.88/2.50  % (24189)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/33239Mi)
% 15.88/2.53  % (24153)Instruction limit reached!
% 15.88/2.53  % (24153)------------------------------
% 15.88/2.53  % (24153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.88/2.53  % (24153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.88/2.53  % (24153)Termination reason: Unknown
% 15.88/2.53  % (24153)Termination phase: Saturation
% 15.88/2.53  
% 15.88/2.53  % (24153)Memory used [KB]: 19317
% 15.88/2.53  % (24153)Time elapsed: 0.476 s
% 15.88/2.53  % (24153)Instructions burned: 981 (million)
% 15.88/2.53  % (24153)------------------------------
% 15.88/2.53  % (24153)------------------------------
% 16.62/2.61  % (24162)First to succeed.
% 17.01/2.65  % (24190)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/20987Mi)
% 18.44/2.78  TRYING [6]
% 18.44/2.84  % (24162)Refutation found. Thanks to Tanya!
% 18.44/2.84  % SZS status Unsatisfiable for theBenchmark
% 18.44/2.84  % SZS output start Proof for theBenchmark
% See solution above
% 19.00/2.88  % (24162)------------------------------
% 19.00/2.88  % (24162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.00/2.88  % (24162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.00/2.88  % (24162)Termination reason: Refutation
% 19.00/2.88  
% 19.00/2.88  % (24162)Memory used [KB]: 5756
% 19.00/2.88  % (24162)Time elapsed: 0.536 s
% 19.00/2.88  % (24162)Instructions burned: 1103 (million)
% 19.00/2.88  % (24162)------------------------------
% 19.00/2.88  % (24162)------------------------------
% 19.00/2.88  % (24113)Success in time 2.526 s
%------------------------------------------------------------------------------