%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG008-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:15:19 EDT 2022

% Result   : Unsatisfiable 23.59s 3.41s
% Output   : Refutation 23.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :  450
% Syntax   : Number of formulae    : 2086 (  58 unt;   0 def)
%            Number of atoms       : 4680 ( 219 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives : 4762 (2168   ~;2166   |;   0   &)
%                                         ( 428 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :  432 ( 430 usr; 429 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  528 ( 528   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15011,plain,
    $false,
    inference(avatar_smt_refutation,[],[f27,f32,f135,f142,f147,f154,f159,f181,f204,f242,f256,f262,f277,f282,f331,f336,f377,f520,f594,f628,f640,f710,f715,f720,f754,f772,f777,f782,f799,f804,f997,f1003,f1020,f1026,f1257,f1280,f1285,f1303,f1427,f1432,f1472,f1548,f1553,f1558,f1563,f1568,f1573,f1640,f1645,f1667,f1672,f3220,f3247,f3253,f3317,f3340,f3374,f3379,f3397,f3398,f3421,f3426,f3432,f3439,f3441,f3467,f3480,f3506,f3511,f3516,f3522,f3532,f3537,f3556,f3561,f3786,f3811,f3816,f3821,f3834,f3846,f3894,f4059,f4074,f4084,f4095,f4110,f4289,f4294,f4309,f4344,f4976,f4995,f5003,f5009,f5076,f6205,f6207,f6403,f6409,f6419,f6426,f6431,f6437,f6443,f6449,f6455,f6481,f6488,f6495,f6501,f6509,f6517,f6523,f6602,f6608,f6617,f6625,f6630,f6636,f6643,f6660,f6668,f6674,f6705,f6710,f6716,f6717,f6723,f6728,f6730,f6745,f6751,f6791,f6799,f6800,f6805,f6810,f6817,f6822,f6864,f6871,f6879,f6921,f6928,f6949,f6979,f6985,f6991,f6997,f7002,f7003,f7004,f7005,f7062,f7068,f7074,f7076,f7082,f7087,f7088,f7090,f7095,f7096,f7101,f7162,f7181,f7187,f7192,f7233,f7236,f7246,f7252,f7307,f7313,f7318,f7319,f7324,f7326,f7327,f7382,f7392,f7400,f7406,f7446,f7455,f7466,f7472,f7475,f7482,f7518,f7524,f7533,f7539,f7544,f7552,f7557,f7573,f7622,f7631,f7637,f7638,f7640,f7645,f7651,f7656,f7661,f7666,f7668,f7705,f7711,f7716,f7721,f7726,f7731,f7733,f7735,f7737,f7738,f7743,f7785,f7858,f7897,f7909,f7912,f7918,f7921,f7957,f7962,f7968,f7974,f7983,f7986,f7994,f7999,f8001,f8006,f8223,f8229,f8336,f8473,f8479,f8486,f8488,f8499,f8505,f8511,f8514,f8519,f8581,f8586,f8591,f8597,f8605,f8611,f8616,f8618,f8625,f8685,f8694,f8699,f8701,f8707,f8712,f8718,f8723,f8728,f8781,f8841,f8890,f8896,f8898,f8903,f8908,f8913,f8918,f8923,f8929,f9065,f9071,f9079,f9083,f9088,f9094,f9099,f9153,f9159,f9164,f9168,f9171,f9174,f9180,f9186,f9191,f9241,f9247,f9253,f9259,f9265,f9272,f9280,f9285,f9286,f9288,f9291,f9293,f9295,f9329,f9335,f9340,f9347,f9353,f9355,f9359,f9401,f9406,f9415,f9420,f9425,f9428,f9433,f9553,f9558,f9567,f9574,f9685,f9729,f9785,f9791,f9796,f9801,f9809,f9811,f9816,f9818,f9820,f9956,f9965,f9980,f9988,f10002,f10012,f10200,f10206,f10212,f10218,f10226,f10232,f10238,f10243,f10248,f10253,f10258,f10264,f10269,f10276,f10282,f10288,f10297,f10302,f10312,f10317,f10322,f10329,f10335,f10341,f10346,f10352,f10357,f10365,f10371,f10376,f10381,f10418,f10432,f10473,f10483,f10490,f10494,f10590,f10599,f10652,f10663,f10670,f10723,f10728,f10747,f10752,f11155,f11157,f11232,f11238,f11240,f11242,f11250,f11255,f11261,f11284,f11289,f11525,f11531,f11537,f11546,f11549,f11593,f11594,f11600,f11606,f11615,f11618,f11623,f11720,f11725,f11729,f11735,f11741,f11747,f11751,f11790,f11799,f11800,f11805,f11811,f11818,f11820,f11822,f11828,f11831,f11833,f11839,f11845,f11895,f11937,f11949,f11955,f11961,f11966,f12017,f12022,f12029,f12035,f12042,f12044,f12046,f12087,f12095,f12101,f12107,f12110,f12115,f12117,f12123,f12125,f12129,f12135,f12137,f12142,f12189,f12195,f12200,f12205,f12211,f12213,f12215,f12220,f12222,f12228,f12423,f12458,f12463,f12469,f12470,f12472,f12649,f12659,f12664,f13123,f13135,f13141,f13169,f13174,f13175,f13213,f13215,f13223,f13229,f13236,f13525,f13550,f13573,f13581,f13671,f13681,f13693,f13699,f13705,f13710,f13722,f13781,f13787,f13792,f13794,f13800,f13806,f13810,f13811,f13946,f13954,f13961,f13970,f13976,f13978,f13983,f13989,f13995,f13997,f14287,f14324,f14351,f14358,f14387,f14408,f14665,f14667,f14994,f15000,f15007]) ).

fof(f15007,plain,
    ( spl0_428
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f15002,f13973,f15004]) ).

fof(f15004,plain,
    ( spl0_428
  <=> sum(c,a,multiply(add(a,b),a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f13973,plain,
    ( spl0_418
  <=> c = multiply(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f15002,plain,
    ( sum(c,a,multiply(add(a,b),a))
    | ~ spl0_418 ),
    inference(forward_demodulation,[],[f14987,f695]) ).

fof(f695,plain,
    ! [X6,X7] : add(X6,X7) = add(X7,X6),
    inference(resolution,[],[f406,f99]) ).

fof(f99,plain,
    ! [X12,X13] : sum(X12,X13,add(X13,X12)),
    inference(resolution,[],[f4,f9]) ).

fof(f9,axiom,
    ! [X3,X0,X1] :
      ( ~ sum(X0,X1,X3)
      | sum(X1,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).

fof(f4,axiom,
    ! [X0,X1] : sum(X0,X1,add(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).

fof(f406,plain,
    ! [X10,X8,X9] :
      ( ~ sum(X8,X9,X10)
      | add(X8,X9) = X10 ),
    inference(resolution,[],[f16,f4]) ).

fof(f16,axiom,
    ! [X2,X0,X1,X4] :
      ( ~ sum(X0,X1,X2)
      | ~ sum(X0,X1,X4)
      | X2 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).

fof(f14987,plain,
    ( sum(c,a,multiply(add(b,a),a))
    | ~ spl0_418 ),
    inference(superposition,[],[f6381,f13975]) ).

fof(f13975,plain,
    ( c = multiply(b,a)
    | ~ spl0_418 ),
    inference(avatar_component_clause,[],[f13973]) ).

fof(f6381,plain,
    ! [X2,X1] : sum(multiply(X1,X2),X2,multiply(add(X1,X2),X2)),
    inference(resolution,[],[f1335,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).

fof(f1335,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | sum(X2,X1,multiply(add(X0,X1),X1)) ),
    inference(resolution,[],[f96,f3]) ).

fof(f96,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(add(X0,X1),X1,X3)
      | ~ product(X0,X1,X2)
      | sum(X2,X1,X3) ),
    inference(resolution,[],[f4,f41]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | sum(X3,X1,X4)
      | ~ product(X2,X1,X4) ),
    inference(resolution,[],[f14,f20]) ).

fof(f20,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).

fof(f14,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X3,X0,X7)
      | ~ sum(X1,X3,X8)
      | sum(X6,X7,X9)
      | ~ product(X8,X0,X9)
      | ~ product(X1,X0,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).

fof(f15000,plain,
    ( spl0_1
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14975,f13973,f24]) ).

fof(f24,plain,
    ( spl0_1
  <=> product(b,a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f14975,plain,
    ( product(b,a,c)
    | ~ spl0_418 ),
    inference(superposition,[],[f3,f13975]) ).

fof(f14994,plain,
    ( spl0_427
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14988,f13973,f14991]) ).

fof(f14991,plain,
    ( spl0_427
  <=> sum(c,b,multiply(b,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f14988,plain,
    ( sum(c,b,multiply(b,add(a,b)))
    | ~ spl0_418 ),
    inference(superposition,[],[f6580,f13975]) ).

fof(f6580,plain,
    ! [X2,X1] : sum(multiply(X1,X2),X1,multiply(X1,add(X2,X1))),
    inference(resolution,[],[f1360,f3]) ).

fof(f1360,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | sum(X2,X0,multiply(X0,add(X1,X0))) ),
    inference(resolution,[],[f98,f3]) ).

fof(f98,plain,
    ! [X10,X11,X8,X9] :
      ( ~ product(X8,add(X9,X8),X10)
      | ~ product(X8,X9,X11)
      | sum(X11,X8,X10) ),
    inference(resolution,[],[f4,f37]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X1,X0,X3)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2)
      | sum(X2,X0,X4) ),
    inference(resolution,[],[f12,f20]) ).

fof(f12,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X3,X7)
      | ~ product(X0,X1,X6)
      | ~ product(X0,X8,X9)
      | sum(X6,X7,X9)
      | ~ sum(X1,X3,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f14667,plain,
    ( spl0_426
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f14649,f14321,f14662]) ).

fof(f14662,plain,
    ( spl0_426
  <=> product(b,add(b,c),add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f14321,plain,
    ( spl0_422
  <=> product(b,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f14649,plain,
    ( product(b,add(b,c),add(b,c))
    | ~ spl0_422 ),
    inference(resolution,[],[f14323,f1357]) ).

fof(f1357,plain,
    ! [X10,X11,X12] :
      ( ~ product(X10,X11,X12)
      | product(X10,add(X10,X11),add(X10,X12)) ),
    inference(resolution,[],[f97,f4]) ).

fof(f97,plain,
    ! [X6,X7,X4,X5] :
      ( ~ sum(X4,X7,X6)
      | ~ product(X4,X5,X7)
      | product(X4,add(X4,X5),X6) ),
    inference(resolution,[],[f4,f39]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X0,X3,X1)
      | product(X0,X1,X2)
      | ~ product(X0,X3,X4)
      | ~ sum(X0,X4,X2) ),
    inference(resolution,[],[f13,f20]) ).

fof(f13,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X1,X6)
      | product(X0,X8,X9)
      | ~ product(X0,X3,X7)
      | ~ sum(X6,X7,X9)
      | ~ sum(X1,X3,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).

fof(f14323,plain,
    ( product(b,c,c)
    | ~ spl0_422 ),
    inference(avatar_component_clause,[],[f14321]) ).

fof(f14665,plain,
    ( spl0_426
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f14660,f14321,f14662]) ).

fof(f14660,plain,
    ( product(b,add(b,c),add(b,c))
    | ~ spl0_422 ),
    inference(forward_demodulation,[],[f14650,f695]) ).

fof(f14650,plain,
    ( product(b,add(b,c),add(c,b))
    | ~ spl0_422 ),
    inference(resolution,[],[f14323,f1358]) ).

fof(f1358,plain,
    ! [X14,X15,X13] :
      ( ~ product(X13,X14,X15)
      | product(X13,add(X13,X14),add(X15,X13)) ),
    inference(resolution,[],[f97,f99]) ).

fof(f14408,plain,
    ( spl0_425
    | ~ spl0_398
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14223,f13973,f13547,f14405]) ).

fof(f14405,plain,
    ( spl0_425
  <=> sum(c,b,multiply(multiply(b,add(a,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f13547,plain,
    ( spl0_398
  <=> sum(multiply(b,a),b,multiply(multiply(b,add(a,b)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f14223,plain,
    ( sum(c,b,multiply(multiply(b,add(a,b)),b))
    | ~ spl0_398
    | ~ spl0_418 ),
    inference(backward_demodulation,[],[f13549,f13975]) ).

fof(f13549,plain,
    ( sum(multiply(b,a),b,multiply(multiply(b,add(a,b)),b))
    | ~ spl0_398 ),
    inference(avatar_component_clause,[],[f13547]) ).

fof(f14387,plain,
    ( spl0_421
    | ~ spl0_5
    | ~ spl0_389
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14386,f13973,f13120,f144,f14284]) ).

fof(f14284,plain,
    ( spl0_421
  <=> sum(c,c,multiply(add(a,b),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f144,plain,
    ( spl0_5
  <=> product(a,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f13120,plain,
    ( spl0_389
  <=> sum(c,multiply(b,a),multiply(multiply(add(a,b),a),multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f14386,plain,
    ( sum(c,c,multiply(add(a,b),c))
    | ~ spl0_5
    | ~ spl0_389
    | ~ spl0_418 ),
    inference(forward_demodulation,[],[f14221,f968]) ).

fof(f968,plain,
    ( ! [X36] : multiply(multiply(X36,a),c) = multiply(X36,c)
    | ~ spl0_5 ),
    inference(resolution,[],[f745,f419]) ).

fof(f419,plain,
    ! [X2,X3,X4] :
      ( ~ product(X2,X3,X4)
      | multiply(X2,X3) = X4 ),
    inference(resolution,[],[f17,f3]) ).

fof(f17,axiom,
    ! [X2,X0,X1,X4] :
      ( ~ product(X0,X1,X4)
      | ~ product(X0,X1,X2)
      | X2 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

fof(f745,plain,
    ( ! [X0] : product(multiply(X0,a),c,multiply(X0,c))
    | ~ spl0_5 ),
    inference(resolution,[],[f300,f3]) ).

fof(f300,plain,
    ( ! [X2,X1] :
        ( ~ product(X1,c,X2)
        | product(multiply(X1,a),c,X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f162,f3]) ).

fof(f162,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(X4,a,X5)
        | product(X5,c,X6)
        | ~ product(X4,c,X6) )
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2)
      | product(X2,X3,X5)
      | ~ product(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiplication2) ).

fof(f146,plain,
    ( product(a,c,c)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f14221,plain,
    ( sum(c,c,multiply(multiply(add(a,b),a),c))
    | ~ spl0_389
    | ~ spl0_418 ),
    inference(backward_demodulation,[],[f13122,f13975]) ).

fof(f13122,plain,
    ( sum(c,multiply(b,a),multiply(multiply(add(a,b),a),multiply(b,a)))
    | ~ spl0_389 ),
    inference(avatar_component_clause,[],[f13120]) ).

fof(f14358,plain,
    ( spl0_424
    | ~ spl0_278
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14014,f13973,f9962,f14355]) ).

fof(f14355,plain,
    ( spl0_424
  <=> c = multiply(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f9962,plain,
    ( spl0_278
  <=> multiply(b,a) = multiply(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f14014,plain,
    ( c = multiply(b,c)
    | ~ spl0_278
    | ~ spl0_418 ),
    inference(backward_demodulation,[],[f9964,f13975]) ).

fof(f9964,plain,
    ( multiply(b,a) = multiply(b,c)
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f9962]) ).

fof(f14351,plain,
    ( spl0_423
    | ~ spl0_277
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14012,f13973,f9953,f14348]) ).

fof(f14348,plain,
    ( spl0_423
  <=> sum(c,b,multiply(b,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f9953,plain,
    ( spl0_277
  <=> sum(multiply(b,a),b,multiply(b,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f14012,plain,
    ( sum(c,b,multiply(b,add(b,c)))
    | ~ spl0_277
    | ~ spl0_418 ),
    inference(backward_demodulation,[],[f9955,f13975]) ).

fof(f9955,plain,
    ( sum(multiply(b,a),b,multiply(b,add(b,c)))
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f9953]) ).

fof(f14324,plain,
    ( spl0_422
    | ~ spl0_279
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14015,f13973,f9977,f14321]) ).

fof(f9977,plain,
    ( spl0_279
  <=> product(b,c,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f14015,plain,
    ( product(b,c,c)
    | ~ spl0_279
    | ~ spl0_418 ),
    inference(backward_demodulation,[],[f9979,f13975]) ).

fof(f9979,plain,
    ( product(b,c,multiply(b,a))
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f9977]) ).

fof(f14287,plain,
    ( spl0_421
    | ~ spl0_319
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f14081,f13973,f10596,f14284]) ).

fof(f10596,plain,
    ( spl0_319
  <=> sum(multiply(b,a),c,multiply(add(a,b),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f14081,plain,
    ( sum(c,c,multiply(add(a,b),c))
    | ~ spl0_319
    | ~ spl0_418 ),
    inference(backward_demodulation,[],[f10598,f13975]) ).

fof(f10598,plain,
    ( sum(multiply(b,a),c,multiply(add(a,b),c))
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f10596]) ).

fof(f13997,plain,
    ( spl0_413
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13996,f13784,f13943]) ).

fof(f13943,plain,
    ( spl0_413
  <=> sum(c,additive_identity,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f13784,plain,
    ( spl0_409
  <=> sum(multiply(b,a),additive_identity,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f13996,plain,
    ( sum(c,additive_identity,multiply(b,a))
    | ~ spl0_409 ),
    inference(forward_demodulation,[],[f13927,f635]) ).

fof(f635,plain,
    ! [X2] : add(X2,additive_identity) = X2,
    inference(resolution,[],[f402,f99]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( ~ sum(additive_identity,X0,X1)
      | X0 = X1 ),
    inference(resolution,[],[f16,f1]) ).

fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).

fof(f13927,plain,
    ( sum(c,additive_identity,add(multiply(b,a),additive_identity))
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f1212]) ).

fof(f1212,plain,
    ! [X10,X8,X9] :
      ( ~ sum(X9,X10,X8)
      | sum(X8,additive_identity,add(X9,X10)) ),
    inference(resolution,[],[f121,f4]) ).

fof(f121,plain,
    ! [X6,X7,X4,X5] :
      ( ~ sum(X6,X7,X5)
      | sum(X4,additive_identity,X5)
      | ~ sum(X6,X7,X4) ),
    inference(resolution,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X1,X3,X4)
      | sum(X2,X3,X5)
      | ~ sum(X0,X1,X2)
      | ~ sum(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).

fof(f13786,plain,
    ( sum(multiply(b,a),additive_identity,c)
    | ~ spl0_409 ),
    inference(avatar_component_clause,[],[f13784]) ).

fof(f13995,plain,
    ( spl0_413
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13940,f13784,f13943]) ).

fof(f13940,plain,
    ( sum(c,additive_identity,multiply(b,a))
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f5106]) ).

fof(f5106,plain,
    ! [X10,X11,X12] :
      ( ~ sum(X10,X11,X12)
      | sum(X12,X11,X10) ),
    inference(backward_demodulation,[],[f1316,f5077]) ).

fof(f5077,plain,
    ! [X61] : additive_inverse(X61) = X61,
    inference(forward_demodulation,[],[f5045,f635]) ).

fof(f5045,plain,
    ! [X61] : add(X61,additive_identity) = additive_inverse(X61),
    inference(resolution,[],[f4855,f406]) ).

fof(f4855,plain,
    ! [X3] : sum(X3,additive_identity,additive_inverse(X3)),
    inference(resolution,[],[f4848,f1304]) ).

fof(f1304,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X1,additive_identity)
      | sum(X0,additive_identity,additive_inverse(X1)) ),
    inference(resolution,[],[f117,f1]) ).

fof(f117,plain,
    ! [X14,X15,X12,X13] :
      ( ~ sum(X14,additive_inverse(X13),X15)
      | ~ sum(X12,X13,X14)
      | sum(X12,additive_identity,X15) ),
    inference(resolution,[],[f7,f6]) ).

fof(f6,axiom,
    ! [X0] : sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2)
      | ~ sum(X2,X3,X5)
      | sum(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).

fof(f4848,plain,
    ! [X1] : sum(X1,X1,additive_identity),
    inference(forward_demodulation,[],[f4844,f454]) ).

fof(f454,plain,
    ! [X3] : additive_identity = multiply(X3,additive_identity),
    inference(resolution,[],[f418,f396]) ).

fof(f396,plain,
    ! [X0] : product(additive_identity,additive_identity,multiply(X0,additive_identity)),
    inference(resolution,[],[f63,f3]) ).

fof(f63,plain,
    ! [X2,X3] :
      ( ~ product(X2,additive_identity,X3)
      | product(additive_identity,additive_identity,X3) ),
    inference(resolution,[],[f35,f18]) ).

fof(f18,axiom,
    ! [X0] : product(X0,additive_identity,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_times_identity_x_is_identity) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | product(X2,X1,X3) ),
    inference(resolution,[],[f11,f20]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( ~ product(X0,X0,X1)
      | X0 = X1 ),
    inference(resolution,[],[f17,f20]) ).

fof(f4844,plain,
    ! [X1] : sum(X1,X1,multiply(X1,additive_identity)),
    inference(resolution,[],[f4772,f3]) ).

fof(f4772,plain,
    ! [X0,X1] :
      ( ~ product(X0,additive_identity,X1)
      | sum(X0,X0,X1) ),
    inference(backward_demodulation,[],[f1214,f4771]) ).

fof(f4771,plain,
    ! [X47] : multiply(X47,additive_inverse(X47)) = X47,
    inference(forward_demodulation,[],[f4737,f635]) ).

fof(f4737,plain,
    ! [X47] : add(X47,additive_identity) = multiply(X47,additive_inverse(X47)),
    inference(resolution,[],[f4593,f407]) ).

fof(f407,plain,
    ! [X11,X12,X13] :
      ( ~ sum(X11,X12,X13)
      | add(X12,X11) = X13 ),
    inference(resolution,[],[f16,f99]) ).

fof(f4593,plain,
    ! [X0] : sum(additive_identity,X0,multiply(X0,additive_inverse(X0))),
    inference(resolution,[],[f3979,f1316]) ).

fof(f3979,plain,
    ! [X0] : sum(multiply(X0,additive_inverse(X0)),additive_inverse(X0),additive_identity),
    inference(resolution,[],[f2240,f3]) ).

fof(f2240,plain,
    ! [X2,X3] :
      ( ~ product(X3,additive_inverse(X3),X2)
      | sum(X2,additive_inverse(X3),additive_identity) ),
    inference(forward_demodulation,[],[f2237,f658]) ).

fof(f658,plain,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    inference(resolution,[],[f423,f3]) ).

fof(f423,plain,
    ! [X11,X12] :
      ( ~ product(additive_identity,X11,X12)
      | additive_identity = X12 ),
    inference(resolution,[],[f17,f19]) ).

fof(f19,axiom,
    ! [X0] : product(additive_identity,X0,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_times_x_is_identity) ).

fof(f2237,plain,
    ! [X2,X3] :
      ( ~ product(X3,additive_inverse(X3),X2)
      | sum(X2,additive_inverse(X3),multiply(additive_identity,additive_inverse(X3))) ),
    inference(resolution,[],[f82,f3]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ product(additive_identity,additive_inverse(X0),X2)
      | sum(X1,additive_inverse(X0),X2)
      | ~ product(X0,additive_inverse(X0),X1) ),
    inference(resolution,[],[f6,f41]) ).

fof(f1214,plain,
    ! [X0,X1] :
      ( sum(multiply(X0,additive_inverse(X0)),X0,X1)
      | ~ product(X0,additive_identity,X1) ),
    inference(resolution,[],[f74,f3]) ).

fof(f74,plain,
    ! [X3,X4,X5] :
      ( ~ product(X3,additive_inverse(X3),X5)
      | ~ product(X3,additive_identity,X4)
      | sum(X5,X3,X4) ),
    inference(resolution,[],[f5,f37]) ).

fof(f5,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f1316,plain,
    ! [X10,X11,X12] :
      ( ~ sum(X10,additive_inverse(X11),X12)
      | sum(X12,X11,X10) ),
    inference(forward_demodulation,[],[f1314,f634]) ).

fof(f634,plain,
    ! [X1] : add(additive_identity,X1) = X1,
    inference(resolution,[],[f402,f4]) ).

fof(f1314,plain,
    ! [X10,X11,X12] :
      ( sum(X12,X11,add(additive_identity,X10))
      | ~ sum(X10,additive_inverse(X11),X12) ),
    inference(resolution,[],[f122,f99]) ).

fof(f122,plain,
    ! [X10,X11,X8,X9] :
      ( ~ sum(X11,additive_identity,X10)
      | ~ sum(X11,additive_inverse(X9),X8)
      | sum(X8,X9,X10) ),
    inference(resolution,[],[f8,f5]) ).

fof(f13989,plain,
    ( spl0_420
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13902,f13784,f13986]) ).

fof(f13986,plain,
    ( spl0_420
  <=> product(multiply(b,a),multiply(b,a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f13902,plain,
    ( product(multiply(b,a),multiply(b,a),c)
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f854]) ).

fof(f854,plain,
    ! [X0,X1] :
      ( ~ sum(X0,additive_identity,X1)
      | product(X0,X0,X1) ),
    inference(resolution,[],[f72,f18]) ).

fof(f72,plain,
    ! [X3,X4,X5] :
      ( ~ product(X3,additive_identity,X5)
      | ~ sum(X3,X5,X4)
      | product(X3,X3,X4) ),
    inference(resolution,[],[f39,f2]) ).

fof(f13983,plain,
    ( spl0_419
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13925,f13784,f13980]) ).

fof(f13980,plain,
    ( spl0_419
  <=> c = add(multiply(b,a),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f13925,plain,
    ( c = add(multiply(b,a),additive_identity)
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f406]) ).

fof(f13978,plain,
    ( spl0_413
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13903,f13784,f13943]) ).

fof(f13903,plain,
    ( sum(c,additive_identity,multiply(b,a))
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f1209]) ).

fof(f1209,plain,
    ! [X2,X3] :
      ( ~ sum(X3,additive_identity,X2)
      | sum(X2,additive_identity,X3) ),
    inference(resolution,[],[f121,f2]) ).

fof(f13976,plain,
    ( spl0_418
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13901,f13784,f13973]) ).

fof(f13901,plain,
    ( c = multiply(b,a)
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f403]) ).

fof(f403,plain,
    ! [X2,X3] :
      ( ~ sum(X2,additive_identity,X3)
      | X2 = X3 ),
    inference(resolution,[],[f16,f2]) ).

fof(f13970,plain,
    ( spl0_416
    | ~ spl0_417
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13895,f13784,f13967,f13963]) ).

fof(f13963,plain,
    ( spl0_416
  <=> product(additive_identity,a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f13967,plain,
    ( spl0_417
  <=> product(b,a,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f13895,plain,
    ( ~ product(b,a,additive_identity)
    | product(additive_identity,a,c)
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f5386]) ).

fof(f5386,plain,
    ! [X10,X8,X9,X7] :
      ( ~ sum(multiply(X7,X8),X9,X10)
      | ~ product(X7,X8,X9)
      | product(additive_identity,X8,X10) ),
    inference(backward_demodulation,[],[f3062,f5077]) ).

fof(f3062,plain,
    ! [X10,X8,X9,X7] :
      ( ~ product(X7,X8,X9)
      | ~ sum(multiply(additive_inverse(X7),X8),X9,X10)
      | product(additive_identity,X8,X10) ),
    inference(resolution,[],[f76,f3]) ).

fof(f76,plain,
    ! [X10,X11,X8,X9,X7] :
      ( ~ product(additive_inverse(X7),X8,X9)
      | ~ product(X7,X8,X10)
      | ~ sum(X9,X10,X11)
      | product(additive_identity,X8,X11) ),
    inference(resolution,[],[f5,f15]) ).

fof(f15,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ sum(X1,X3,X8)
      | ~ product(X1,X0,X6)
      | ~ sum(X6,X7,X9)
      | product(X8,X0,X9)
      | ~ product(X3,X0,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).

fof(f13961,plain,
    ( spl0_415
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13926,f13784,f13958]) ).

fof(f13958,plain,
    ( spl0_415
  <=> c = add(additive_identity,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f13926,plain,
    ( c = add(additive_identity,multiply(b,a))
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f407]) ).

fof(f13954,plain,
    ( spl0_414
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13911,f13784,f13951]) ).

fof(f13951,plain,
    ( spl0_414
  <=> sum(additive_identity,multiply(b,a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f13911,plain,
    ( sum(additive_identity,multiply(b,a),c)
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f9]) ).

fof(f13946,plain,
    ( spl0_413
    | ~ spl0_409 ),
    inference(avatar_split_clause,[],[f13941,f13784,f13943]) ).

fof(f13941,plain,
    ( sum(c,additive_identity,multiply(b,a))
    | ~ spl0_409 ),
    inference(forward_demodulation,[],[f13928,f634]) ).

fof(f13928,plain,
    ( sum(c,additive_identity,add(additive_identity,multiply(b,a)))
    | ~ spl0_409 ),
    inference(resolution,[],[f13786,f1213]) ).

fof(f1213,plain,
    ! [X11,X12,X13] :
      ( ~ sum(X13,X12,X11)
      | sum(X11,additive_identity,add(X12,X13)) ),
    inference(resolution,[],[f121,f99]) ).

fof(f13811,plain,
    ( spl0_412
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13763,f13719,f13803]) ).

fof(f13803,plain,
    ( spl0_412
  <=> sum(additive_identity,additive_identity,add(c,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f13719,plain,
    ( spl0_407
  <=> sum(multiply(b,a),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f13763,plain,
    ( sum(additive_identity,additive_identity,add(c,multiply(b,a)))
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f1213]) ).

fof(f13721,plain,
    ( sum(multiply(b,a),c,additive_identity)
    | ~ spl0_407 ),
    inference(avatar_component_clause,[],[f13719]) ).

fof(f13810,plain,
    ( spl0_409
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13742,f13719,f13784]) ).

fof(f13742,plain,
    ( sum(multiply(b,a),additive_identity,c)
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f5102]) ).

fof(f5102,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X1,additive_identity)
      | sum(X0,additive_identity,X1) ),
    inference(backward_demodulation,[],[f1304,f5077]) ).

fof(f13806,plain,
    ( spl0_412
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13801,f13719,f13803]) ).

fof(f13801,plain,
    ( sum(additive_identity,additive_identity,add(c,multiply(b,a)))
    | ~ spl0_407 ),
    inference(forward_demodulation,[],[f13762,f695]) ).

fof(f13762,plain,
    ( sum(additive_identity,additive_identity,add(multiply(b,a),c))
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f1212]) ).

fof(f13800,plain,
    ( spl0_411
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13761,f13719,f13797]) ).

fof(f13797,plain,
    ( spl0_411
  <=> additive_identity = add(c,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f13761,plain,
    ( additive_identity = add(c,multiply(b,a))
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f407]) ).

fof(f13794,plain,
    ( spl0_409
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13793,f13719,f13784]) ).

fof(f13793,plain,
    ( sum(multiply(b,a),additive_identity,c)
    | ~ spl0_407 ),
    inference(forward_demodulation,[],[f13774,f635]) ).

fof(f13774,plain,
    ( sum(multiply(b,a),additive_identity,add(c,additive_identity))
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f5104]) ).

fof(f5104,plain,
    ! [X10,X11,X9] :
      ( ~ sum(X9,X10,X11)
      | sum(X9,additive_identity,add(X10,X11)) ),
    inference(backward_demodulation,[],[f1308,f5077]) ).

fof(f1308,plain,
    ! [X10,X11,X9] :
      ( ~ sum(X9,X10,X11)
      | sum(X9,additive_identity,add(additive_inverse(X10),X11)) ),
    inference(resolution,[],[f117,f99]) ).

fof(f13792,plain,
    ( spl0_410
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13746,f13719,f13789]) ).

fof(f13789,plain,
    ( spl0_410
  <=> sum(c,multiply(b,a),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f13746,plain,
    ( sum(c,multiply(b,a),additive_identity)
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f9]) ).

fof(f13787,plain,
    ( spl0_409
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13782,f13719,f13784]) ).

fof(f13782,plain,
    ( sum(multiply(b,a),additive_identity,c)
    | ~ spl0_407 ),
    inference(forward_demodulation,[],[f13773,f634]) ).

fof(f13773,plain,
    ( sum(multiply(b,a),additive_identity,add(additive_identity,c))
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f5103]) ).

fof(f5103,plain,
    ! [X8,X6,X7] :
      ( ~ sum(X6,X7,X8)
      | sum(X6,additive_identity,add(X8,X7)) ),
    inference(backward_demodulation,[],[f1307,f5077]) ).

fof(f1307,plain,
    ! [X8,X6,X7] :
      ( sum(X6,additive_identity,add(X8,additive_inverse(X7)))
      | ~ sum(X6,X7,X8) ),
    inference(resolution,[],[f117,f4]) ).

fof(f13781,plain,
    ( spl0_408
    | ~ spl0_407 ),
    inference(avatar_split_clause,[],[f13760,f13719,f13778]) ).

fof(f13778,plain,
    ( spl0_408
  <=> additive_identity = add(multiply(b,a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f13760,plain,
    ( additive_identity = add(multiply(b,a),c)
    | ~ spl0_407 ),
    inference(resolution,[],[f13721,f406]) ).

fof(f13722,plain,
    ( spl0_407
    | ~ spl0_282
    | ~ spl0_403 ),
    inference(avatar_split_clause,[],[f13716,f13690,f10009,f13719]) ).

fof(f10009,plain,
    ( spl0_282
  <=> sum(multiply(b,a),c,multiply(add(b,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f13690,plain,
    ( spl0_403
  <=> additive_identity = multiply(add(b,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f13716,plain,
    ( sum(multiply(b,a),c,additive_identity)
    | ~ spl0_282
    | ~ spl0_403 ),
    inference(backward_demodulation,[],[f10011,f13692]) ).

fof(f13692,plain,
    ( additive_identity = multiply(add(b,c),c)
    | ~ spl0_403 ),
    inference(avatar_component_clause,[],[f13690]) ).

fof(f10011,plain,
    ( sum(multiply(b,a),c,multiply(add(b,c),c))
    | ~ spl0_282 ),
    inference(avatar_component_clause,[],[f10009]) ).

fof(f13710,plain,
    ( spl0_406
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f13657,f13220,f13707]) ).

fof(f13707,plain,
    ( spl0_406
  <=> product(multiply(add(b,c),c),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f13220,plain,
    ( spl0_395
  <=> product(add(b,c),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f13657,plain,
    ( product(multiply(add(b,c),c),c,additive_identity)
    | ~ spl0_395 ),
    inference(resolution,[],[f13222,f94]) ).

fof(f94,plain,
    ! [X31,X32,X33] :
      ( ~ product(X31,X32,X33)
      | product(multiply(X31,X32),X32,X33) ),
    inference(resolution,[],[f3,f35]) ).

fof(f13222,plain,
    ( product(add(b,c),c,additive_identity)
    | ~ spl0_395 ),
    inference(avatar_component_clause,[],[f13220]) ).

fof(f13705,plain,
    ( spl0_405
    | ~ spl0_6
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f13637,f13220,f151,f13702]) ).

fof(f13702,plain,
    ( spl0_405
  <=> product(multiply(add(b,c),c),b,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f151,plain,
    ( spl0_6
  <=> product(c,b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f13637,plain,
    ( product(multiply(add(b,c),c),b,additive_identity)
    | ~ spl0_6
    | ~ spl0_395 ),
    inference(resolution,[],[f13222,f320]) ).

fof(f320,plain,
    ( ! [X2,X1] :
        ( ~ product(X1,c,X2)
        | product(multiply(X1,c),b,X2) )
    | ~ spl0_6 ),
    inference(resolution,[],[f170,f3]) ).

fof(f170,plain,
    ( ! [X6,X7,X5] :
        ( ~ product(X5,c,X6)
        | ~ product(X5,c,X7)
        | product(X6,b,X7) )
    | ~ spl0_6 ),
    inference(resolution,[],[f153,f11]) ).

fof(f153,plain,
    ( product(c,b,c)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f13699,plain,
    ( spl0_404
    | ~ spl0_5
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f13694,f13220,f144,f13696]) ).

fof(f13696,plain,
    ( spl0_404
  <=> sum(additive_identity,c,multiply(add(a,add(b,c)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f13694,plain,
    ( sum(additive_identity,c,multiply(add(a,add(b,c)),c))
    | ~ spl0_5
    | ~ spl0_395 ),
    inference(forward_demodulation,[],[f13638,f695]) ).

fof(f13638,plain,
    ( sum(additive_identity,c,multiply(add(add(b,c),a),c))
    | ~ spl0_5
    | ~ spl0_395 ),
    inference(resolution,[],[f13222,f1923]) ).

fof(f1923,plain,
    ( ! [X0,X1] :
        ( ~ product(X0,c,X1)
        | sum(X1,c,multiply(add(X0,a),c)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f384,f3]) ).

fof(f384,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(add(X6,a),c,X5)
        | ~ product(X6,c,X4)
        | sum(X4,c,X5) )
    | ~ spl0_5 ),
    inference(resolution,[],[f165,f4]) ).

fof(f165,plain,
    ( ! [X18,X16,X17,X15] :
        ( ~ sum(X15,a,X16)
        | sum(X17,c,X18)
        | ~ product(X15,c,X17)
        | ~ product(X16,c,X18) )
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f14]) ).

fof(f13693,plain,
    ( spl0_403
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f13659,f13220,f13690]) ).

fof(f13659,plain,
    ( additive_identity = multiply(add(b,c),c)
    | ~ spl0_395 ),
    inference(resolution,[],[f13222,f419]) ).

fof(f13681,plain,
    ( spl0_402
    | ~ spl0_278
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f13676,f13220,f9962,f13678]) ).

fof(f13678,plain,
    ( spl0_402
  <=> sum(additive_identity,c,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f13676,plain,
    ( sum(additive_identity,c,multiply(b,a))
    | ~ spl0_278
    | ~ spl0_395 ),
    inference(forward_demodulation,[],[f13675,f9964]) ).

fof(f13675,plain,
    ( sum(additive_identity,c,multiply(b,c))
    | ~ spl0_395 ),
    inference(forward_demodulation,[],[f13674,f5126]) ).

fof(f5126,plain,
    ! [X41,X42] : add(X41,add(X42,X41)) = X42,
    inference(backward_demodulation,[],[f1730,f5077]) ).

fof(f1730,plain,
    ! [X41,X42] : add(X41,add(X42,additive_inverse(X41))) = X42,
    inference(resolution,[],[f1709,f407]) ).

fof(f1709,plain,
    ! [X3,X4] : sum(add(X3,additive_inverse(X4)),X4,X3),
    inference(resolution,[],[f1316,f4]) ).

fof(f13674,plain,
    ( sum(additive_identity,c,multiply(add(c,add(b,c)),c))
    | ~ spl0_395 ),
    inference(forward_demodulation,[],[f13660,f695]) ).

fof(f13660,plain,
    ( sum(additive_identity,c,multiply(add(add(b,c),c),c))
    | ~ spl0_395 ),
    inference(resolution,[],[f13222,f1335]) ).

fof(f13671,plain,
    ( spl0_401
    | ~ spl0_5
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f13636,f13220,f144,f13668]) ).

fof(f13668,plain,
    ( spl0_401
  <=> product(multiply(add(b,c),a),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f13636,plain,
    ( product(multiply(add(b,c),a),c,additive_identity)
    | ~ spl0_5
    | ~ spl0_395 ),
    inference(resolution,[],[f13222,f300]) ).

fof(f13581,plain,
    ( spl0_400
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f13576,f11620,f13578]) ).

fof(f13578,plain,
    ( spl0_400
  <=> sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),multiply(b,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f11620,plain,
    ( spl0_343
  <=> sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),add(b,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f13576,plain,
    ( sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),multiply(b,add(a,b))))
    | ~ spl0_343 ),
    inference(forward_demodulation,[],[f13473,f695]) ).

fof(f13473,plain,
    ( sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),multiply(b,add(b,a))))
    | ~ spl0_343 ),
    inference(backward_demodulation,[],[f11622,f13254]) ).

fof(f13254,plain,
    ! [X72,X73] : multiply(X72,add(X72,X73)) = add(X72,multiply(X72,X73)),
    inference(resolution,[],[f6458,f419]) ).

fof(f6458,plain,
    ! [X2,X1] : product(X1,add(X1,X2),add(X1,multiply(X1,X2))),
    inference(resolution,[],[f1357,f3]) ).

fof(f11622,plain,
    ( sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),add(b,multiply(b,a))))
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f11620]) ).

fof(f13573,plain,
    ( spl0_399
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f13568,f9985,f13570]) ).

fof(f13570,plain,
    ( spl0_399
  <=> product(b,add(b,c),multiply(b,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f9985,plain,
    ( spl0_280
  <=> product(b,add(b,c),add(b,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f13568,plain,
    ( product(b,add(b,c),multiply(b,add(a,b)))
    | ~ spl0_280 ),
    inference(forward_demodulation,[],[f13426,f695]) ).

fof(f13426,plain,
    ( product(b,add(b,c),multiply(b,add(b,a)))
    | ~ spl0_280 ),
    inference(backward_demodulation,[],[f9987,f13254]) ).

fof(f9987,plain,
    ( product(b,add(b,c),add(b,multiply(b,a)))
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f9985]) ).

fof(f13550,plain,
    ( spl0_398
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f13545,f11603,f13547]) ).

fof(f11603,plain,
    ( spl0_341
  <=> sum(multiply(b,a),b,multiply(add(b,multiply(b,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f13545,plain,
    ( sum(multiply(b,a),b,multiply(multiply(b,add(a,b)),b))
    | ~ spl0_341 ),
    inference(forward_demodulation,[],[f13471,f695]) ).

fof(f13471,plain,
    ( sum(multiply(b,a),b,multiply(multiply(b,add(b,a)),b))
    | ~ spl0_341 ),
    inference(backward_demodulation,[],[f11605,f13254]) ).

fof(f11605,plain,
    ( sum(multiply(b,a),b,multiply(add(b,multiply(b,a)),b))
    | ~ spl0_341 ),
    inference(avatar_component_clause,[],[f11603]) ).

fof(f13525,plain,
    ( spl0_397
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f13520,f11612,f13522]) ).

fof(f13522,plain,
    ( spl0_397
  <=> product(multiply(b,a),multiply(b,add(a,b)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f11612,plain,
    ( spl0_342
  <=> product(multiply(b,a),add(b,multiply(b,a)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f13520,plain,
    ( product(multiply(b,a),multiply(b,add(a,b)),additive_identity)
    | ~ spl0_342 ),
    inference(forward_demodulation,[],[f13472,f695]) ).

fof(f13472,plain,
    ( product(multiply(b,a),multiply(b,add(b,a)),additive_identity)
    | ~ spl0_342 ),
    inference(backward_demodulation,[],[f11614,f13254]) ).

fof(f11614,plain,
    ( product(multiply(b,a),add(b,multiply(b,a)),additive_identity)
    | ~ spl0_342 ),
    inference(avatar_component_clause,[],[f11612]) ).

fof(f13236,plain,
    ( spl0_395
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f13235,f13171,f13220]) ).

fof(f13171,plain,
    ( spl0_393
  <=> product(add(b,c),b,add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f13235,plain,
    ( product(add(b,c),c,additive_identity)
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13234,f5139]) ).

fof(f5139,plain,
    ! [X41,X42] : add(X41,add(X41,X42)) = X42,
    inference(backward_demodulation,[],[f1799,f5077]) ).

fof(f1799,plain,
    ! [X41,X42] : add(X41,add(additive_inverse(X41),X42)) = X42,
    inference(resolution,[],[f1710,f407]) ).

fof(f1710,plain,
    ! [X6,X5] : sum(add(additive_inverse(X5),X6),X5,X6),
    inference(resolution,[],[f1316,f99]) ).

fof(f13234,plain,
    ( product(add(b,c),add(b,add(b,c)),additive_identity)
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13233,f695]) ).

fof(f13233,plain,
    ( product(add(b,c),add(add(b,c),b),additive_identity)
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13200,f4868]) ).

fof(f4868,plain,
    ! [X39] : additive_identity = add(X39,X39),
    inference(resolution,[],[f4848,f406]) ).

fof(f13200,plain,
    ( product(add(b,c),add(add(b,c),b),add(add(b,c),add(b,c)))
    | ~ spl0_393 ),
    inference(resolution,[],[f13173,f1357]) ).

fof(f13173,plain,
    ( product(add(b,c),b,add(b,c))
    | ~ spl0_393 ),
    inference(avatar_component_clause,[],[f13171]) ).

fof(f13229,plain,
    ( spl0_396
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f13224,f13171,f13226]) ).

fof(f13226,plain,
    ( spl0_396
  <=> sum(add(b,c),add(b,c),multiply(add(b,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f13224,plain,
    ( sum(add(b,c),add(b,c),multiply(add(b,c),c))
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13202,f5139]) ).

fof(f13202,plain,
    ( sum(add(b,c),add(b,c),multiply(add(b,c),add(b,add(b,c))))
    | ~ spl0_393 ),
    inference(resolution,[],[f13173,f1360]) ).

fof(f13223,plain,
    ( spl0_395
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f13218,f13171,f13220]) ).

fof(f13218,plain,
    ( product(add(b,c),c,additive_identity)
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13217,f5139]) ).

fof(f13217,plain,
    ( product(add(b,c),add(b,add(b,c)),additive_identity)
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13216,f695]) ).

fof(f13216,plain,
    ( product(add(b,c),add(add(b,c),b),additive_identity)
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13201,f4868]) ).

fof(f13201,plain,
    ( product(add(b,c),add(add(b,c),b),add(add(b,c),add(b,c)))
    | ~ spl0_393 ),
    inference(resolution,[],[f13173,f1358]) ).

fof(f13215,plain,
    ( spl0_394
    | ~ spl0_2
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f13214,f13171,f29,f13210]) ).

fof(f13210,plain,
    ( spl0_394
  <=> sum(add(b,c),c,multiply(add(a,add(b,c)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f29,plain,
    ( spl0_2
  <=> product(a,b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f13214,plain,
    ( sum(add(b,c),c,multiply(add(a,add(b,c)),b))
    | ~ spl0_2
    | ~ spl0_393 ),
    inference(forward_demodulation,[],[f13180,f695]) ).

fof(f13180,plain,
    ( sum(add(b,c),c,multiply(add(add(b,c),a),b))
    | ~ spl0_2
    | ~ spl0_393 ),
    inference(resolution,[],[f13173,f1691]) ).

fof(f1691,plain,
    ( ! [X2,X3] :
        ( ~ product(X2,b,X3)
        | sum(X3,c,multiply(add(X2,a),b)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f111,f4]) ).

fof(f111,plain,
    ( ! [X2,X3,X4] :
        ( ~ sum(X2,a,X4)
        | ~ product(X2,b,X3)
        | sum(X3,c,multiply(X4,b)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f42,f3]) ).

fof(f42,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ product(X6,b,X8)
        | ~ product(X5,b,X7)
        | ~ sum(X5,a,X6)
        | sum(X7,c,X8) )
    | ~ spl0_2 ),
    inference(resolution,[],[f14,f31]) ).

fof(f31,plain,
    ( product(a,b,c)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f13213,plain,
    ( spl0_394
    | ~ spl0_2
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f13179,f13171,f29,f13210]) ).

fof(f13179,plain,
    ( sum(add(b,c),c,multiply(add(a,add(b,c)),b))
    | ~ spl0_2
    | ~ spl0_393 ),
    inference(resolution,[],[f13173,f1692]) ).

fof(f1692,plain,
    ( ! [X4,X5] :
        ( ~ product(X4,b,X5)
        | sum(X5,c,multiply(add(a,X4),b)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f111,f99]) ).

fof(f13175,plain,
    ( spl0_393
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f13150,f6994,f13171]) ).

fof(f6994,plain,
    ( spl0_140
  <=> add(b,c) = multiply(add(b,c),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f13150,plain,
    ( product(add(b,c),b,add(b,c))
    | ~ spl0_140 ),
    inference(superposition,[],[f722,f6996]) ).

fof(f6996,plain,
    ( add(b,c) = multiply(add(b,c),b)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f6994]) ).

fof(f722,plain,
    ! [X2,X1] : product(multiply(X1,X2),X2,multiply(X1,X2)),
    inference(resolution,[],[f94,f3]) ).

fof(f13174,plain,
    ( spl0_393
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f13148,f6994,f13171]) ).

fof(f13148,plain,
    ( product(add(b,c),b,add(b,c))
    | ~ spl0_140 ),
    inference(superposition,[],[f3,f6996]) ).

fof(f13169,plain,
    ( spl0_392
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f13152,f6994,f13166]) ).

fof(f13166,plain,
    ( spl0_392
  <=> product(add(b,c),multiply(b,add(b,c)),add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f13152,plain,
    ( product(add(b,c),multiply(b,add(b,c)),add(b,c))
    | ~ spl0_140 ),
    inference(superposition,[],[f914,f6996]) ).

fof(f914,plain,
    ! [X0,X1] : product(X0,multiply(X1,multiply(X0,X1)),multiply(X0,X1)),
    inference(resolution,[],[f93,f3]) ).

fof(f93,plain,
    ! [X28,X29,X30] :
      ( ~ product(X28,multiply(X29,X28),X30)
      | product(X29,X30,multiply(X29,X28)) ),
    inference(resolution,[],[f3,f33]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X1,X2,X3)
      | product(X0,X3,X2) ),
    inference(resolution,[],[f10,f20]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X2,X3,X5)
      | ~ product(X0,X1,X2)
      | product(X0,X4,X5)
      | ~ product(X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiplication1) ).

fof(f13141,plain,
    ( spl0_391
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f13136,f10266,f13138]) ).

fof(f13138,plain,
    ( spl0_391
  <=> sum(c,a,multiply(a,multiply(add(a,b),a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f10266,plain,
    ( spl0_295
  <=> sum(c,a,multiply(a,add(a,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f13136,plain,
    ( sum(c,a,multiply(a,multiply(add(a,b),a)))
    | ~ spl0_295 ),
    inference(forward_demodulation,[],[f13110,f695]) ).

fof(f13110,plain,
    ( sum(c,a,multiply(a,multiply(add(b,a),a)))
    | ~ spl0_295 ),
    inference(backward_demodulation,[],[f10268,f12971]) ).

fof(f12971,plain,
    ! [X70,X71] : multiply(add(X71,X70),X70) = add(X70,multiply(X71,X70)),
    inference(resolution,[],[f6381,f407]) ).

fof(f10268,plain,
    ( sum(c,a,multiply(a,add(a,multiply(b,a))))
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f10266]) ).

fof(f13135,plain,
    ( spl0_390
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f13130,f10349,f13132]) ).

fof(f13132,plain,
    ( spl0_390
  <=> product(a,multiply(add(a,b),a),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f10349,plain,
    ( spl0_308
  <=> product(a,add(a,multiply(b,a)),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f13130,plain,
    ( product(a,multiply(add(a,b),a),add(a,c))
    | ~ spl0_308 ),
    inference(forward_demodulation,[],[f13111,f695]) ).

fof(f13111,plain,
    ( product(a,multiply(add(b,a),a),add(a,c))
    | ~ spl0_308 ),
    inference(backward_demodulation,[],[f10351,f12971]) ).

fof(f10351,plain,
    ( product(a,add(a,multiply(b,a)),add(a,c))
    | ~ spl0_308 ),
    inference(avatar_component_clause,[],[f10349]) ).

fof(f13123,plain,
    ( spl0_389
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f13118,f10229,f13120]) ).

fof(f10229,plain,
    ( spl0_288
  <=> sum(c,multiply(b,a),multiply(add(a,multiply(b,a)),multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f13118,plain,
    ( sum(c,multiply(b,a),multiply(multiply(add(a,b),a),multiply(b,a)))
    | ~ spl0_288 ),
    inference(forward_demodulation,[],[f13109,f695]) ).

fof(f13109,plain,
    ( sum(c,multiply(b,a),multiply(multiply(add(b,a),a),multiply(b,a)))
    | ~ spl0_288 ),
    inference(backward_demodulation,[],[f10231,f12971]) ).

fof(f10231,plain,
    ( sum(c,multiply(b,a),multiply(add(a,multiply(b,a)),multiply(b,a)))
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f10229]) ).

fof(f12664,plain,
    ( spl0_388
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f12635,f12455,f12661]) ).

fof(f12661,plain,
    ( spl0_388
  <=> product(multiply(b,add(b,add(a,c))),add(b,add(a,c)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f12455,plain,
    ( spl0_383
  <=> product(b,add(b,add(a,c)),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f12635,plain,
    ( product(multiply(b,add(b,add(a,c))),add(b,add(a,c)),b)
    | ~ spl0_383 ),
    inference(resolution,[],[f12457,f94]) ).

fof(f12457,plain,
    ( product(b,add(b,add(a,c)),b)
    | ~ spl0_383 ),
    inference(avatar_component_clause,[],[f12455]) ).

fof(f12659,plain,
    ( spl0_387
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f12637,f12455,f12656]) ).

fof(f12656,plain,
    ( spl0_387
  <=> b = multiply(b,add(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f12637,plain,
    ( b = multiply(b,add(b,add(a,c)))
    | ~ spl0_383 ),
    inference(resolution,[],[f12457,f419]) ).

fof(f12649,plain,
    ( spl0_386
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f12644,f12455,f12646]) ).

fof(f12646,plain,
    ( spl0_386
  <=> sum(b,add(b,add(a,c)),multiply(add(a,c),add(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f12644,plain,
    ( sum(b,add(b,add(a,c)),multiply(add(a,c),add(b,add(a,c))))
    | ~ spl0_383 ),
    inference(forward_demodulation,[],[f12638,f5139]) ).

fof(f12638,plain,
    ( sum(b,add(b,add(a,c)),multiply(add(b,add(b,add(a,c))),add(b,add(a,c))))
    | ~ spl0_383 ),
    inference(resolution,[],[f12457,f1335]) ).

fof(f12472,plain,
    ( spl0_383
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f12471,f12420,f12455]) ).

fof(f12420,plain,
    ( spl0_382
  <=> product(b,add(a,c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f12471,plain,
    ( product(b,add(b,add(a,c)),b)
    | ~ spl0_382 ),
    inference(forward_demodulation,[],[f12446,f634]) ).

fof(f12446,plain,
    ( product(b,add(b,add(a,c)),add(additive_identity,b))
    | ~ spl0_382 ),
    inference(resolution,[],[f12422,f1358]) ).

fof(f12422,plain,
    ( product(b,add(a,c),additive_identity)
    | ~ spl0_382 ),
    inference(avatar_component_clause,[],[f12420]) ).

fof(f12470,plain,
    ( spl0_383
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f12426,f12420,f12455]) ).

fof(f12426,plain,
    ( product(b,add(b,add(a,c)),b)
    | ~ spl0_382 ),
    inference(resolution,[],[f12422,f1352]) ).

fof(f1352,plain,
    ! [X2,X3] :
      ( ~ product(X2,X3,additive_identity)
      | product(X2,add(X2,X3),X2) ),
    inference(resolution,[],[f97,f2]) ).

fof(f12469,plain,
    ( spl0_385
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f12464,f12420,f12466]) ).

fof(f12466,plain,
    ( spl0_385
  <=> sum(additive_identity,b,multiply(b,add(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f12464,plain,
    ( sum(additive_identity,b,multiply(b,add(b,add(a,c))))
    | ~ spl0_382 ),
    inference(forward_demodulation,[],[f12447,f695]) ).

fof(f12447,plain,
    ( sum(additive_identity,b,multiply(b,add(add(a,c),b)))
    | ~ spl0_382 ),
    inference(resolution,[],[f12422,f1360]) ).

fof(f12463,plain,
    ( spl0_384
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f12444,f12420,f12460]) ).

fof(f12460,plain,
    ( spl0_384
  <=> sum(additive_identity,add(a,c),multiply(add(b,add(a,c)),add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f12444,plain,
    ( sum(additive_identity,add(a,c),multiply(add(b,add(a,c)),add(a,c)))
    | ~ spl0_382 ),
    inference(resolution,[],[f12422,f1335]) ).

fof(f12458,plain,
    ( spl0_383
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f12453,f12420,f12455]) ).

fof(f12453,plain,
    ( product(b,add(b,add(a,c)),b)
    | ~ spl0_382 ),
    inference(forward_demodulation,[],[f12445,f635]) ).

fof(f12445,plain,
    ( product(b,add(b,add(a,c)),add(b,additive_identity))
    | ~ spl0_382 ),
    inference(resolution,[],[f12422,f1357]) ).

fof(f12423,plain,
    ( spl0_382
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f12407,f12192,f12420]) ).

fof(f12192,plain,
    ( spl0_377
  <=> additive_identity = multiply(b,add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f12407,plain,
    ( product(b,add(a,c),additive_identity)
    | ~ spl0_377 ),
    inference(superposition,[],[f3,f12194]) ).

fof(f12194,plain,
    ( additive_identity = multiply(b,add(a,c))
    | ~ spl0_377 ),
    inference(avatar_component_clause,[],[f12192]) ).

fof(f12228,plain,
    ( spl0_381
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12152,f9726,f12225]) ).

fof(f12225,plain,
    ( spl0_381
  <=> sum(additive_identity,additive_identity,multiply(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f9726,plain,
    ( spl0_270
  <=> product(b,additive_identity,multiply(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f12152,plain,
    ( sum(additive_identity,additive_identity,multiply(b,add(a,c)))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f913]) ).

fof(f913,plain,
    ! [X3,X4] :
      ( ~ product(X3,additive_identity,X4)
      | sum(additive_identity,additive_identity,X4) ),
    inference(forward_demodulation,[],[f908,f454]) ).

fof(f908,plain,
    ! [X3,X4] :
      ( ~ product(X3,additive_identity,X4)
      | sum(multiply(X3,additive_identity),additive_identity,X4) ),
    inference(resolution,[],[f80,f3]) ).

fof(f80,plain,
    ! [X3,X4,X5] :
      ( ~ product(X3,additive_identity,X4)
      | ~ product(X3,additive_identity,X5)
      | sum(X4,additive_identity,X5) ),
    inference(resolution,[],[f41,f2]) ).

fof(f9728,plain,
    ( product(b,additive_identity,multiply(b,add(a,c)))
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f9726]) ).

fof(f12222,plain,
    ( spl0_378
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12221,f9726,f12197]) ).

fof(f12197,plain,
    ( spl0_378
  <=> sum(multiply(b,add(a,c)),additive_identity,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f12221,plain,
    ( sum(multiply(b,add(a,c)),additive_identity,additive_identity)
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12177,f454]) ).

fof(f12177,plain,
    ( sum(multiply(b,add(a,c)),additive_identity,multiply(add(b,additive_identity),additive_identity))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f1335]) ).

fof(f12220,plain,
    ( spl0_380
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12159,f9726,f12217]) ).

fof(f12217,plain,
    ( spl0_380
  <=> sum(b,b,multiply(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f12159,plain,
    ( sum(b,b,multiply(b,add(a,c)))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f4772]) ).

fof(f12215,plain,
    ( spl0_376
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12214,f9726,f12186]) ).

fof(f12186,plain,
    ( spl0_376
  <=> product(b,b,add(b,multiply(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f12214,plain,
    ( product(b,b,add(b,multiply(b,add(a,c))))
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12178,f635]) ).

fof(f12178,plain,
    ( product(b,add(b,additive_identity),add(b,multiply(b,add(a,c))))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f1357]) ).

fof(f12213,plain,
    ( spl0_377
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12212,f9726,f12192]) ).

fof(f12212,plain,
    ( additive_identity = multiply(b,add(a,c))
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12176,f454]) ).

fof(f12176,plain,
    ( multiply(b,additive_identity) = multiply(b,add(a,c))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f419]) ).

fof(f12211,plain,
    ( spl0_379
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12210,f9726,f12202]) ).

fof(f12202,plain,
    ( spl0_379
  <=> sum(multiply(b,add(a,c)),b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f12210,plain,
    ( sum(multiply(b,add(a,c)),b,b)
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12209,f450]) ).

fof(f450,plain,
    ! [X1] : multiply(X1,X1) = X1,
    inference(resolution,[],[f418,f3]) ).

fof(f12209,plain,
    ( sum(multiply(b,add(a,c)),b,multiply(b,b))
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12180,f634]) ).

fof(f12180,plain,
    ( sum(multiply(b,add(a,c)),b,multiply(b,add(additive_identity,b)))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f1360]) ).

fof(f12205,plain,
    ( spl0_379
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12160,f9726,f12202]) ).

fof(f12160,plain,
    ( sum(multiply(b,add(a,c)),b,b)
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f11135]) ).

fof(f11135,plain,
    ! [X2,X3] :
      ( ~ product(X3,additive_identity,X2)
      | sum(X2,X3,X3) ),
    inference(forward_demodulation,[],[f11121,f450]) ).

fof(f11121,plain,
    ! [X2,X3] :
      ( sum(X2,multiply(X3,X3),X3)
      | ~ product(X3,additive_identity,X2) ),
    inference(resolution,[],[f3109,f1]) ).

fof(f3109,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X1,X3,X0)
      | sum(X2,multiply(X0,X3),X0)
      | ~ product(X0,X1,X2) ),
    inference(resolution,[],[f90,f20]) ).

fof(f90,plain,
    ! [X10,X11,X14,X15,X12,X13] :
      ( ~ product(X10,X13,X14)
      | ~ product(X10,X11,X12)
      | sum(X12,multiply(X10,X15),X14)
      | ~ sum(X11,X15,X13) ),
    inference(resolution,[],[f3,f12]) ).

fof(f12200,plain,
    ( spl0_378
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12154,f9726,f12197]) ).

fof(f12154,plain,
    ( sum(multiply(b,add(a,c)),additive_identity,additive_identity)
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f1336]) ).

fof(f1336,plain,
    ! [X3,X4] :
      ( ~ product(X3,additive_identity,X4)
      | sum(X4,additive_identity,additive_identity) ),
    inference(resolution,[],[f96,f18]) ).

fof(f12195,plain,
    ( spl0_377
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12151,f9726,f12192]) ).

fof(f12151,plain,
    ( additive_identity = multiply(b,add(a,c))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f420]) ).

fof(f420,plain,
    ! [X6,X5] :
      ( ~ product(X5,additive_identity,X6)
      | additive_identity = X6 ),
    inference(resolution,[],[f17,f18]) ).

fof(f12189,plain,
    ( spl0_376
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f12184,f9726,f12186]) ).

fof(f12184,plain,
    ( product(b,b,add(b,multiply(b,add(a,c))))
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12183,f635]) ).

fof(f12183,plain,
    ( product(b,add(b,additive_identity),add(b,multiply(b,add(a,c))))
    | ~ spl0_270 ),
    inference(forward_demodulation,[],[f12179,f695]) ).

fof(f12179,plain,
    ( product(b,add(b,additive_identity),add(multiply(b,add(a,c)),b))
    | ~ spl0_270 ),
    inference(resolution,[],[f9728,f1358]) ).

fof(f12142,plain,
    ( spl0_375
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12077,f11286,f12139]) ).

fof(f12139,plain,
    ( spl0_375
  <=> sum(additive_identity,multiply(b,add(a,b)),multiply(add(a,multiply(b,add(a,b))),multiply(b,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f11286,plain,
    ( spl0_334
  <=> product(a,multiply(b,add(a,b)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f12077,plain,
    ( sum(additive_identity,multiply(b,add(a,b)),multiply(add(a,multiply(b,add(a,b))),multiply(b,add(a,b))))
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1335]) ).

fof(f11288,plain,
    ( product(a,multiply(b,add(a,b)),additive_identity)
    | ~ spl0_334 ),
    inference(avatar_component_clause,[],[f11286]) ).

fof(f12137,plain,
    ( spl0_372
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12136,f11286,f144,f12112]) ).

fof(f12112,plain,
    ( spl0_372
  <=> product(a,add(c,multiply(b,add(a,b))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f12136,plain,
    ( product(a,add(c,multiply(b,add(a,b))),c)
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12053,f635]) ).

fof(f12053,plain,
    ( product(a,add(c,multiply(b,add(a,b))),add(c,additive_identity))
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1786]) ).

fof(f1786,plain,
    ( ! [X2,X3] :
        ( ~ product(a,X2,X3)
        | product(a,add(c,X2),add(c,X3)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f380,f4]) ).

fof(f380,plain,
    ( ! [X6,X4,X5] :
        ( ~ sum(c,X5,X6)
        | product(a,add(c,X4),X6)
        | ~ product(a,X4,X5) )
    | ~ spl0_5 ),
    inference(resolution,[],[f164,f4]) ).

fof(f164,plain,
    ( ! [X11,X14,X12,X13] :
        ( ~ sum(c,X13,X11)
        | ~ product(a,X13,X14)
        | ~ sum(c,X14,X12)
        | product(a,X11,X12) )
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f13]) ).

fof(f12135,plain,
    ( spl0_374
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12130,f11286,f29,f12132]) ).

fof(f12132,plain,
    ( spl0_374
  <=> sum(additive_identity,c,multiply(a,add(b,multiply(b,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f12130,plain,
    ( sum(additive_identity,c,multiply(a,add(b,multiply(b,add(a,b)))))
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12057,f695]) ).

fof(f12057,plain,
    ( sum(additive_identity,c,multiply(a,add(multiply(b,add(a,b)),b)))
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1386]) ).

fof(f1386,plain,
    ( ! [X0,X1] :
        ( ~ product(a,X0,X1)
        | sum(X1,c,multiply(a,add(X0,b))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f101,f3]) ).

fof(f101,plain,
    ( ! [X21,X22,X20] :
        ( ~ product(a,add(X20,b),X21)
        | ~ product(a,X20,X22)
        | sum(X22,c,X21) )
    | ~ spl0_2 ),
    inference(resolution,[],[f4,f38]) ).

fof(f38,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ sum(X5,b,X7)
        | ~ product(a,X7,X8)
        | sum(X6,c,X8)
        | ~ product(a,X5,X6) )
    | ~ spl0_2 ),
    inference(resolution,[],[f12,f31]) ).

fof(f12129,plain,
    ( spl0_370
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12059,f11286,f12098]) ).

fof(f12098,plain,
    ( spl0_370
  <=> product(a,add(a,multiply(b,add(a,b))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f12059,plain,
    ( product(a,add(a,multiply(b,add(a,b))),a)
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1352]) ).

fof(f12125,plain,
    ( spl0_372
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12124,f11286,f144,f12112]) ).

fof(f12124,plain,
    ( product(a,add(c,multiply(b,add(a,b))),c)
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12052,f634]) ).

fof(f12052,plain,
    ( product(a,add(c,multiply(b,add(a,b))),add(additive_identity,c))
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1787]) ).

fof(f1787,plain,
    ( ! [X4,X5] :
        ( ~ product(a,X4,X5)
        | product(a,add(c,X4),add(X5,c)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f380,f99]) ).

fof(f12123,plain,
    ( spl0_373
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12118,f11286,f144,f12120]) ).

fof(f12120,plain,
    ( spl0_373
  <=> sum(additive_identity,c,multiply(a,add(c,multiply(b,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f12118,plain,
    ( sum(additive_identity,c,multiply(a,add(c,multiply(b,add(a,b)))))
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12054,f695]) ).

fof(f12054,plain,
    ( sum(additive_identity,c,multiply(a,add(multiply(b,add(a,b)),c)))
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1714]) ).

fof(f1714,plain,
    ( ! [X0,X1] :
        ( ~ product(a,X1,X0)
        | sum(X0,c,multiply(a,add(X1,c))) )
    | ~ spl0_5 ),
    inference(resolution,[],[f363,f3]) ).

fof(f363,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(a,add(X4,c),X6)
        | sum(X5,c,X6)
        | ~ product(a,X4,X5) )
    | ~ spl0_5 ),
    inference(resolution,[],[f163,f4]) ).

fof(f163,plain,
    ( ! [X10,X8,X9,X7] :
        ( ~ sum(X7,c,X9)
        | ~ product(a,X7,X8)
        | sum(X8,c,X10)
        | ~ product(a,X9,X10) )
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f12]) ).

fof(f12117,plain,
    ( spl0_370
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12116,f11286,f12098]) ).

fof(f12116,plain,
    ( product(a,add(a,multiply(b,add(a,b))),a)
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12079,f634]) ).

fof(f12079,plain,
    ( product(a,add(a,multiply(b,add(a,b))),add(additive_identity,a))
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1358]) ).

fof(f12115,plain,
    ( spl0_372
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12049,f11286,f144,f12112]) ).

fof(f12049,plain,
    ( product(a,add(c,multiply(b,add(a,b))),c)
    | ~ spl0_5
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1784]) ).

fof(f1784,plain,
    ( ! [X0] :
        ( ~ product(a,X0,additive_identity)
        | product(a,add(c,X0),c) )
    | ~ spl0_5 ),
    inference(resolution,[],[f380,f2]) ).

fof(f12110,plain,
    ( spl0_371
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12109,f11286,f29,f12104]) ).

fof(f12104,plain,
    ( spl0_371
  <=> product(a,add(b,multiply(b,add(a,b))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f12109,plain,
    ( product(a,add(b,multiply(b,add(a,b))),c)
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12108,f695]) ).

fof(f12108,plain,
    ( product(a,add(multiply(b,add(a,b)),b),c)
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12055,f635]) ).

fof(f12055,plain,
    ( product(a,add(multiply(b,add(a,b)),b),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1649]) ).

fof(f1649,plain,
    ( ! [X4,X5] :
        ( ~ product(a,X4,X5)
        | product(a,add(X4,b),add(c,X5)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f102,f99]) ).

fof(f102,plain,
    ( ! [X24,X25,X23] :
        ( ~ sum(b,X23,X24)
        | ~ product(a,X23,X25)
        | product(a,X24,add(c,X25)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f4,f40]) ).

fof(f40,plain,
    ( ! [X8,X6,X7,X5] :
        ( ~ sum(c,X8,X6)
        | ~ sum(b,X7,X5)
        | product(a,X5,X6)
        | ~ product(a,X7,X8) )
    | ~ spl0_2 ),
    inference(resolution,[],[f13,f31]) ).

fof(f12107,plain,
    ( spl0_371
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12102,f11286,f29,f12104]) ).

fof(f12102,plain,
    ( product(a,add(b,multiply(b,add(a,b))),c)
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12056,f635]) ).

fof(f12056,plain,
    ( product(a,add(b,multiply(b,add(a,b))),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1648]) ).

fof(f1648,plain,
    ( ! [X2,X3] :
        ( ~ product(a,X2,X3)
        | product(a,add(b,X2),add(c,X3)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f102,f4]) ).

fof(f12101,plain,
    ( spl0_370
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12096,f11286,f12098]) ).

fof(f12096,plain,
    ( product(a,add(a,multiply(b,add(a,b))),a)
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12078,f635]) ).

fof(f12078,plain,
    ( product(a,add(a,multiply(b,add(a,b))),add(a,additive_identity))
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1357]) ).

fof(f12095,plain,
    ( spl0_369
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12090,f11286,f12092]) ).

fof(f12092,plain,
    ( spl0_369
  <=> sum(additive_identity,a,multiply(a,add(a,multiply(b,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f12090,plain,
    ( sum(additive_identity,a,multiply(a,add(a,multiply(b,add(a,b)))))
    | ~ spl0_334 ),
    inference(forward_demodulation,[],[f12080,f695]) ).

fof(f12080,plain,
    ( sum(additive_identity,a,multiply(a,add(multiply(b,add(a,b)),a)))
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f1360]) ).

fof(f12087,plain,
    ( spl0_368
    | ~ spl0_334 ),
    inference(avatar_split_clause,[],[f12076,f11286,f12084]) ).

fof(f12084,plain,
    ( spl0_368
  <=> additive_identity = multiply(a,multiply(b,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f12076,plain,
    ( additive_identity = multiply(a,multiply(b,add(a,b)))
    | ~ spl0_334 ),
    inference(resolution,[],[f11288,f419]) ).

fof(f12046,plain,
    ( spl0_363
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f11988,f11281,f12014]) ).

fof(f12014,plain,
    ( spl0_363
  <=> product(c,add(c,multiply(b,add(a,b))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f11281,plain,
    ( spl0_333
  <=> product(c,multiply(b,add(a,b)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f11988,plain,
    ( product(c,add(c,multiply(b,add(a,b))),c)
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f1352]) ).

fof(f11283,plain,
    ( product(c,multiply(b,add(a,b)),additive_identity)
    | ~ spl0_333 ),
    inference(avatar_component_clause,[],[f11281]) ).

fof(f12044,plain,
    ( spl0_363
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f12043,f11281,f12014]) ).

fof(f12043,plain,
    ( product(c,add(c,multiply(b,add(a,b))),c)
    | ~ spl0_333 ),
    inference(forward_demodulation,[],[f12008,f634]) ).

fof(f12008,plain,
    ( product(c,add(c,multiply(b,add(a,b))),add(additive_identity,c))
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f1358]) ).

fof(f12042,plain,
    ( spl0_367
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f12006,f11281,f12039]) ).

fof(f12039,plain,
    ( spl0_367
  <=> sum(additive_identity,multiply(b,add(a,b)),multiply(add(c,multiply(b,add(a,b))),multiply(b,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f12006,plain,
    ( sum(additive_identity,multiply(b,add(a,b)),multiply(add(c,multiply(b,add(a,b))),multiply(b,add(a,b))))
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f1335]) ).

fof(f12035,plain,
    ( spl0_366
    | ~ spl0_6
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f12030,f11281,f151,f12032]) ).

fof(f12032,plain,
    ( spl0_366
  <=> sum(additive_identity,c,multiply(c,add(b,multiply(b,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f12030,plain,
    ( sum(additive_identity,c,multiply(c,add(b,multiply(b,add(a,b)))))
    | ~ spl0_6
    | ~ spl0_333 ),
    inference(forward_demodulation,[],[f11985,f695]) ).

fof(f11985,plain,
    ( sum(additive_identity,c,multiply(c,add(multiply(b,add(a,b)),b)))
    | ~ spl0_6
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f1928]) ).

fof(f1928,plain,
    ( ! [X0,X1] :
        ( ~ product(c,X1,X0)
        | sum(X0,c,multiply(c,add(X1,b))) )
    | ~ spl0_6 ),
    inference(resolution,[],[f388,f3]) ).

fof(f388,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(c,add(X4,b),X5)
        | sum(X6,c,X5)
        | ~ product(c,X4,X6) )
    | ~ spl0_6 ),
    inference(resolution,[],[f171,f4]) ).

fof(f171,plain,
    ( ! [X10,X11,X8,X9] :
        ( ~ sum(X8,b,X10)
        | ~ product(c,X10,X11)
        | ~ product(c,X8,X9)
        | sum(X9,c,X11) )
    | ~ spl0_6 ),
    inference(resolution,[],[f153,f12]) ).

fof(f12029,plain,
    ( spl0_365
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f12024,f11281,f12026]) ).

fof(f12026,plain,
    ( spl0_365
  <=> sum(additive_identity,c,multiply(c,add(c,multiply(b,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f12024,plain,
    ( sum(additive_identity,c,multiply(c,add(c,multiply(b,add(a,b)))))
    | ~ spl0_333 ),
    inference(forward_demodulation,[],[f12009,f695]) ).

fof(f12009,plain,
    ( sum(additive_identity,c,multiply(c,add(multiply(b,add(a,b)),c)))
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f1360]) ).

fof(f12022,plain,
    ( spl0_364
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f12005,f11281,f12019]) ).

fof(f12019,plain,
    ( spl0_364
  <=> additive_identity = multiply(c,multiply(b,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f12005,plain,
    ( additive_identity = multiply(c,multiply(b,add(a,b)))
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f419]) ).

fof(f12017,plain,
    ( spl0_363
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f12012,f11281,f12014]) ).

fof(f12012,plain,
    ( product(c,add(c,multiply(b,add(a,b))),c)
    | ~ spl0_333 ),
    inference(forward_demodulation,[],[f12007,f635]) ).

fof(f12007,plain,
    ( product(c,add(c,multiply(b,add(a,b))),add(c,additive_identity))
    | ~ spl0_333 ),
    inference(resolution,[],[f11283,f1357]) ).

fof(f11966,plain,
    ( spl0_362
    | ~ spl0_6
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f11909,f11235,f151,f11963]) ).

fof(f11963,plain,
    ( spl0_362
  <=> product(c,multiply(add(c,add(a,b)),b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f11235,plain,
    ( spl0_329
  <=> product(c,add(c,add(a,b)),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f11909,plain,
    ( product(c,multiply(add(c,add(a,b)),b),c)
    | ~ spl0_6
    | ~ spl0_329 ),
    inference(resolution,[],[f11237,f312]) ).

fof(f312,plain,
    ( ! [X2,X1] :
        ( ~ product(X1,X2,c)
        | product(X1,multiply(X2,b),c) )
    | ~ spl0_6 ),
    inference(resolution,[],[f169,f3]) ).

fof(f169,plain,
    ( ! [X2,X3,X4] :
        ( ~ product(X3,b,X4)
        | ~ product(X2,X3,c)
        | product(X2,X4,c) )
    | ~ spl0_6 ),
    inference(resolution,[],[f153,f10]) ).

fof(f11237,plain,
    ( product(c,add(c,add(a,b)),c)
    | ~ spl0_329 ),
    inference(avatar_component_clause,[],[f11235]) ).

fof(f11961,plain,
    ( spl0_361
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f11925,f11235,f11958]) ).

fof(f11958,plain,
    ( spl0_361
  <=> c = multiply(c,add(c,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f11925,plain,
    ( c = multiply(c,add(c,add(a,b)))
    | ~ spl0_329 ),
    inference(resolution,[],[f11237,f419]) ).

fof(f11955,plain,
    ( spl0_360
    | ~ spl0_6
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f11950,f11235,f151,f11952]) ).

fof(f11952,plain,
    ( spl0_360
  <=> sum(c,c,multiply(c,add(b,add(c,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f11950,plain,
    ( sum(c,c,multiply(c,add(b,add(c,add(a,b)))))
    | ~ spl0_6
    | ~ spl0_329 ),
    inference(forward_demodulation,[],[f11905,f695]) ).

fof(f11905,plain,
    ( sum(c,c,multiply(c,add(add(c,add(a,b)),b)))
    | ~ spl0_6
    | ~ spl0_329 ),
    inference(resolution,[],[f11237,f1928]) ).

fof(f11949,plain,
    ( spl0_359
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f11923,f11235,f11946]) ).

fof(f11946,plain,
    ( spl0_359
  <=> product(multiply(c,add(c,add(a,b))),add(c,add(a,b)),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f11923,plain,
    ( product(multiply(c,add(c,add(a,b))),add(c,add(a,b)),c)
    | ~ spl0_329 ),
    inference(resolution,[],[f11237,f94]) ).

fof(f11937,plain,
    ( spl0_358
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f11932,f11235,f11934]) ).

fof(f11934,plain,
    ( spl0_358
  <=> sum(c,add(c,add(a,b)),multiply(add(a,b),add(c,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f11932,plain,
    ( sum(c,add(c,add(a,b)),multiply(add(a,b),add(c,add(a,b))))
    | ~ spl0_329 ),
    inference(forward_demodulation,[],[f11926,f5139]) ).

fof(f11926,plain,
    ( sum(c,add(c,add(a,b)),multiply(add(c,add(c,add(a,b))),add(c,add(a,b))))
    | ~ spl0_329 ),
    inference(resolution,[],[f11237,f1335]) ).

fof(f11895,plain,
    ( spl0_357
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11863,f11152,f11892]) ).

fof(f11892,plain,
    ( spl0_357
  <=> product(add(a,b),additive_identity,multiply(add(a,b),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f11152,plain,
    ( spl0_327
  <=> product(c,add(a,b),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f11863,plain,
    ( product(add(a,b),additive_identity,multiply(add(a,b),c))
    | ~ spl0_327 ),
    inference(resolution,[],[f11227,f93]) ).

fof(f11227,plain,
    ( ! [X42] : product(c,multiply(add(a,b),X42),additive_identity)
    | ~ spl0_327 ),
    inference(forward_demodulation,[],[f11226,f658]) ).

fof(f11226,plain,
    ( ! [X42] : product(c,multiply(add(a,b),X42),multiply(additive_identity,X42))
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f2058]) ).

fof(f2058,plain,
    ! [X3,X6,X4,X5] :
      ( ~ product(X3,X4,X5)
      | product(X3,multiply(X4,X6),multiply(X5,X6)) ),
    inference(resolution,[],[f88,f3]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(X1,X4,X3)
      | ~ product(X0,X1,X2)
      | product(X0,X3,multiply(X2,X4)) ),
    inference(resolution,[],[f3,f10]) ).

fof(f11154,plain,
    ( product(c,add(a,b),additive_identity)
    | ~ spl0_327 ),
    inference(avatar_component_clause,[],[f11152]) ).

fof(f11845,plain,
    ( spl0_356
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11840,f10749,f11842]) ).

fof(f11842,plain,
    ( spl0_356
  <=> sum(additive_identity,a,multiply(a,add(a,multiply(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f10749,plain,
    ( spl0_326
  <=> product(a,multiply(b,add(a,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f11840,plain,
    ( sum(additive_identity,a,multiply(a,add(a,multiply(b,add(a,c)))))
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11783,f695]) ).

fof(f11783,plain,
    ( sum(additive_identity,a,multiply(a,add(multiply(b,add(a,c)),a)))
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1360]) ).

fof(f10751,plain,
    ( product(a,multiply(b,add(a,c)),additive_identity)
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f10749]) ).

fof(f11839,plain,
    ( spl0_355
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11834,f10749,f144,f11836]) ).

fof(f11836,plain,
    ( spl0_355
  <=> sum(additive_identity,c,multiply(a,add(c,multiply(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f11834,plain,
    ( sum(additive_identity,c,multiply(a,add(c,multiply(b,add(a,c)))))
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11757,f695]) ).

fof(f11757,plain,
    ( sum(additive_identity,c,multiply(a,add(multiply(b,add(a,c)),c)))
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1714]) ).

fof(f11833,plain,
    ( spl0_354
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11762,f10749,f11825]) ).

fof(f11825,plain,
    ( spl0_354
  <=> product(a,add(a,multiply(b,add(a,c))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f11762,plain,
    ( product(a,add(a,multiply(b,add(a,c))),a)
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1352]) ).

fof(f11831,plain,
    ( spl0_354
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11830,f10749,f11825]) ).

fof(f11830,plain,
    ( product(a,add(a,multiply(b,add(a,c))),a)
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11782,f634]) ).

fof(f11782,plain,
    ( product(a,add(a,multiply(b,add(a,c))),add(additive_identity,a))
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1358]) ).

fof(f11828,plain,
    ( spl0_354
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11823,f10749,f11825]) ).

fof(f11823,plain,
    ( product(a,add(a,multiply(b,add(a,c))),a)
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11781,f635]) ).

fof(f11781,plain,
    ( product(a,add(a,multiply(b,add(a,c))),add(a,additive_identity))
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1357]) ).

fof(f11822,plain,
    ( spl0_353
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11821,f10749,f29,f11815]) ).

fof(f11815,plain,
    ( spl0_353
  <=> product(a,add(b,multiply(b,add(a,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f11821,plain,
    ( product(a,add(b,multiply(b,add(a,c))),c)
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11759,f635]) ).

fof(f11759,plain,
    ( product(a,add(b,multiply(b,add(a,c))),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1648]) ).

fof(f11820,plain,
    ( spl0_350
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11819,f10749,f144,f11796]) ).

fof(f11796,plain,
    ( spl0_350
  <=> product(a,add(c,multiply(b,add(a,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f11819,plain,
    ( product(a,add(c,multiply(b,add(a,c))),c)
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11756,f635]) ).

fof(f11756,plain,
    ( product(a,add(c,multiply(b,add(a,c))),add(c,additive_identity))
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1786]) ).

fof(f11818,plain,
    ( spl0_353
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11813,f10749,f29,f11815]) ).

fof(f11813,plain,
    ( product(a,add(b,multiply(b,add(a,c))),c)
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11812,f695]) ).

fof(f11812,plain,
    ( product(a,add(multiply(b,add(a,c)),b),c)
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11758,f635]) ).

fof(f11758,plain,
    ( product(a,add(multiply(b,add(a,c)),b),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1649]) ).

fof(f11811,plain,
    ( spl0_352
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11806,f10749,f29,f11808]) ).

fof(f11808,plain,
    ( spl0_352
  <=> sum(additive_identity,c,multiply(a,add(b,multiply(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f11806,plain,
    ( sum(additive_identity,c,multiply(a,add(b,multiply(b,add(a,c)))))
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11760,f695]) ).

fof(f11760,plain,
    ( sum(additive_identity,c,multiply(a,add(multiply(b,add(a,c)),b)))
    | ~ spl0_2
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1386]) ).

fof(f11805,plain,
    ( spl0_351
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11780,f10749,f11802]) ).

fof(f11802,plain,
    ( spl0_351
  <=> sum(additive_identity,multiply(b,add(a,c)),multiply(add(a,multiply(b,add(a,c))),multiply(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f11780,plain,
    ( sum(additive_identity,multiply(b,add(a,c)),multiply(add(a,multiply(b,add(a,c))),multiply(b,add(a,c))))
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1335]) ).

fof(f11800,plain,
    ( spl0_350
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11752,f10749,f144,f11796]) ).

fof(f11752,plain,
    ( product(a,add(c,multiply(b,add(a,c))),c)
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1784]) ).

fof(f11799,plain,
    ( spl0_350
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11794,f10749,f144,f11796]) ).

fof(f11794,plain,
    ( product(a,add(c,multiply(b,add(a,c))),c)
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(forward_demodulation,[],[f11755,f634]) ).

fof(f11755,plain,
    ( product(a,add(c,multiply(b,add(a,c))),add(additive_identity,c))
    | ~ spl0_5
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f1787]) ).

fof(f11790,plain,
    ( spl0_349
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f11779,f10749,f11787]) ).

fof(f11787,plain,
    ( spl0_349
  <=> additive_identity = multiply(a,multiply(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f11779,plain,
    ( additive_identity = multiply(a,multiply(b,add(a,c)))
    | ~ spl0_326 ),
    inference(resolution,[],[f10751,f419]) ).

fof(f11751,plain,
    ( spl0_345
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11750,f10744,f11722]) ).

fof(f11722,plain,
    ( spl0_345
  <=> product(c,add(c,multiply(b,add(a,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f10744,plain,
    ( spl0_325
  <=> product(c,multiply(b,add(a,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f11750,plain,
    ( product(c,add(c,multiply(b,add(a,c))),c)
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f11710,f635]) ).

fof(f11710,plain,
    ( product(c,add(c,multiply(b,add(a,c))),add(c,additive_identity))
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f1357]) ).

fof(f10746,plain,
    ( product(c,multiply(b,add(a,c)),additive_identity)
    | ~ spl0_325 ),
    inference(avatar_component_clause,[],[f10744]) ).

fof(f11747,plain,
    ( spl0_348
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11708,f10744,f11744]) ).

fof(f11744,plain,
    ( spl0_348
  <=> additive_identity = multiply(c,multiply(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f11708,plain,
    ( additive_identity = multiply(c,multiply(b,add(a,c)))
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f419]) ).

fof(f11741,plain,
    ( spl0_347
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11736,f10744,f11738]) ).

fof(f11738,plain,
    ( spl0_347
  <=> sum(additive_identity,c,multiply(c,add(c,multiply(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f11736,plain,
    ( sum(additive_identity,c,multiply(c,add(c,multiply(b,add(a,c)))))
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f11712,f695]) ).

fof(f11712,plain,
    ( sum(additive_identity,c,multiply(c,add(multiply(b,add(a,c)),c)))
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f1360]) ).

fof(f11735,plain,
    ( spl0_346
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11709,f10744,f11732]) ).

fof(f11732,plain,
    ( spl0_346
  <=> sum(additive_identity,multiply(b,add(a,c)),multiply(add(c,multiply(b,add(a,c))),multiply(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f11709,plain,
    ( sum(additive_identity,multiply(b,add(a,c)),multiply(add(c,multiply(b,add(a,c))),multiply(b,add(a,c))))
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f1335]) ).

fof(f11729,plain,
    ( spl0_345
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11728,f10744,f11722]) ).

fof(f11728,plain,
    ( product(c,add(c,multiply(b,add(a,c))),c)
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f11711,f634]) ).

fof(f11711,plain,
    ( product(c,add(c,multiply(b,add(a,c))),add(additive_identity,c))
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f1358]) ).

fof(f11725,plain,
    ( spl0_345
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11691,f10744,f11722]) ).

fof(f11691,plain,
    ( product(c,add(c,multiply(b,add(a,c))),c)
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f1352]) ).

fof(f11720,plain,
    ( spl0_344
    | ~ spl0_6
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f11715,f10744,f151,f11717]) ).

fof(f11717,plain,
    ( spl0_344
  <=> sum(additive_identity,c,multiply(c,add(b,multiply(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f11715,plain,
    ( sum(additive_identity,c,multiply(c,add(b,multiply(b,add(a,c)))))
    | ~ spl0_6
    | ~ spl0_325 ),
    inference(forward_demodulation,[],[f11688,f695]) ).

fof(f11688,plain,
    ( sum(additive_identity,c,multiply(c,add(multiply(b,add(a,c)),b)))
    | ~ spl0_6
    | ~ spl0_325 ),
    inference(resolution,[],[f10746,f1928]) ).

fof(f11623,plain,
    ( spl0_343
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11585,f10587,f11620]) ).

fof(f10587,plain,
    ( spl0_318
  <=> product(multiply(b,a),b,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f11585,plain,
    ( sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),add(b,multiply(b,a))))
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f1360]) ).

fof(f10589,plain,
    ( product(multiply(b,a),b,multiply(b,a))
    | ~ spl0_318 ),
    inference(avatar_component_clause,[],[f10587]) ).

fof(f11618,plain,
    ( spl0_342
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11617,f10587,f11612]) ).

fof(f11617,plain,
    ( product(multiply(b,a),add(b,multiply(b,a)),additive_identity)
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11616,f695]) ).

fof(f11616,plain,
    ( product(multiply(b,a),add(multiply(b,a),b),additive_identity)
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11583,f4868]) ).

fof(f11583,plain,
    ( product(multiply(b,a),add(multiply(b,a),b),add(multiply(b,a),multiply(b,a)))
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f1357]) ).

fof(f11615,plain,
    ( spl0_342
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11610,f10587,f11612]) ).

fof(f11610,plain,
    ( product(multiply(b,a),add(b,multiply(b,a)),additive_identity)
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11609,f695]) ).

fof(f11609,plain,
    ( product(multiply(b,a),add(multiply(b,a),b),additive_identity)
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11584,f4868]) ).

fof(f11584,plain,
    ( product(multiply(b,a),add(multiply(b,a),b),add(multiply(b,a),multiply(b,a)))
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f1358]) ).

fof(f11606,plain,
    ( spl0_341
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11601,f10587,f11603]) ).

fof(f11601,plain,
    ( sum(multiply(b,a),b,multiply(add(b,multiply(b,a)),b))
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11582,f695]) ).

fof(f11582,plain,
    ( sum(multiply(b,a),b,multiply(add(multiply(b,a),b),b))
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f1335]) ).

fof(f11600,plain,
    ( spl0_340
    | ~ spl0_6
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11595,f10587,f151,f11597]) ).

fof(f11597,plain,
    ( spl0_340
  <=> sum(multiply(b,a),c,multiply(add(c,multiply(b,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f11595,plain,
    ( sum(multiply(b,a),c,multiply(add(c,multiply(b,a)),b))
    | ~ spl0_6
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11561,f695]) ).

fof(f11561,plain,
    ( sum(multiply(b,a),c,multiply(add(multiply(b,a),c),b))
    | ~ spl0_6
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f2002]) ).

fof(f2002,plain,
    ( ! [X0,X1] :
        ( ~ product(X1,b,X0)
        | sum(X0,c,multiply(add(X1,c),b)) )
    | ~ spl0_6 ),
    inference(resolution,[],[f400,f3]) ).

fof(f400,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(add(X4,c),b,X6)
        | sum(X5,c,X6)
        | ~ product(X4,b,X5) )
    | ~ spl0_6 ),
    inference(resolution,[],[f173,f4]) ).

fof(f173,plain,
    ( ! [X18,X19,X16,X17] :
        ( ~ sum(X16,c,X17)
        | ~ product(X16,b,X18)
        | ~ product(X17,b,X19)
        | sum(X18,c,X19) )
    | ~ spl0_6 ),
    inference(resolution,[],[f153,f14]) ).

fof(f11594,plain,
    ( spl0_339
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11562,f10587,f29,f11590]) ).

fof(f11590,plain,
    ( spl0_339
  <=> sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f11562,plain,
    ( sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),b))
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f1692]) ).

fof(f11593,plain,
    ( spl0_339
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(avatar_split_clause,[],[f11588,f10587,f29,f11590]) ).

fof(f11588,plain,
    ( sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),b))
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(forward_demodulation,[],[f11563,f695]) ).

fof(f11563,plain,
    ( sum(multiply(b,a),c,multiply(add(multiply(b,a),a),b))
    | ~ spl0_2
    | ~ spl0_318 ),
    inference(resolution,[],[f10589,f1691]) ).

fof(f11549,plain,
    ( spl0_338
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f11548,f9999,f11543]) ).

fof(f11543,plain,
    ( spl0_338
  <=> product(multiply(b,a),add(c,multiply(b,a)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f9999,plain,
    ( spl0_281
  <=> product(multiply(b,a),c,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f11548,plain,
    ( product(multiply(b,a),add(c,multiply(b,a)),additive_identity)
    | ~ spl0_281 ),
    inference(forward_demodulation,[],[f11547,f695]) ).

fof(f11547,plain,
    ( product(multiply(b,a),add(multiply(b,a),c),additive_identity)
    | ~ spl0_281 ),
    inference(forward_demodulation,[],[f11514,f4868]) ).

fof(f11514,plain,
    ( product(multiply(b,a),add(multiply(b,a),c),add(multiply(b,a),multiply(b,a)))
    | ~ spl0_281 ),
    inference(resolution,[],[f10001,f1358]) ).

fof(f10001,plain,
    ( product(multiply(b,a),c,multiply(b,a))
    | ~ spl0_281 ),
    inference(avatar_component_clause,[],[f9999]) ).

fof(f11546,plain,
    ( spl0_338
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f11541,f9999,f11543]) ).

fof(f11541,plain,
    ( product(multiply(b,a),add(c,multiply(b,a)),additive_identity)
    | ~ spl0_281 ),
    inference(forward_demodulation,[],[f11540,f695]) ).

fof(f11540,plain,
    ( product(multiply(b,a),add(multiply(b,a),c),additive_identity)
    | ~ spl0_281 ),
    inference(forward_demodulation,[],[f11513,f4868]) ).

fof(f11513,plain,
    ( product(multiply(b,a),add(multiply(b,a),c),add(multiply(b,a),multiply(b,a)))
    | ~ spl0_281 ),
    inference(resolution,[],[f10001,f1357]) ).

fof(f11537,plain,
    ( spl0_337
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f11515,f9999,f11534]) ).

fof(f11534,plain,
    ( spl0_337
  <=> sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),add(c,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f11515,plain,
    ( sum(multiply(b,a),multiply(b,a),multiply(multiply(b,a),add(c,multiply(b,a))))
    | ~ spl0_281 ),
    inference(resolution,[],[f10001,f1360]) ).

fof(f11531,plain,
    ( spl0_336
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f11526,f9999,f11528]) ).

fof(f11528,plain,
    ( spl0_336
  <=> sum(multiply(b,a),c,multiply(add(c,multiply(b,a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f11526,plain,
    ( sum(multiply(b,a),c,multiply(add(c,multiply(b,a)),c))
    | ~ spl0_281 ),
    inference(forward_demodulation,[],[f11512,f695]) ).

fof(f11512,plain,
    ( sum(multiply(b,a),c,multiply(add(multiply(b,a),c),c))
    | ~ spl0_281 ),
    inference(resolution,[],[f10001,f1335]) ).

fof(f11525,plain,
    ( spl0_335
    | ~ spl0_5
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f11520,f9999,f144,f11522]) ).

fof(f11522,plain,
    ( spl0_335
  <=> sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f11520,plain,
    ( sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),c))
    | ~ spl0_5
    | ~ spl0_281 ),
    inference(forward_demodulation,[],[f11493,f695]) ).

fof(f11493,plain,
    ( sum(multiply(b,a),c,multiply(add(multiply(b,a),a),c))
    | ~ spl0_5
    | ~ spl0_281 ),
    inference(resolution,[],[f10001,f1923]) ).

fof(f11289,plain,
    ( spl0_334
    | ~ spl0_2
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f11269,f11229,f29,f11286]) ).

fof(f11229,plain,
    ( spl0_328
  <=> additive_identity = multiply(c,add(a,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f11269,plain,
    ( product(a,multiply(b,add(a,b)),additive_identity)
    | ~ spl0_2
    | ~ spl0_328 ),
    inference(superposition,[],[f8030,f11231]) ).

fof(f11231,plain,
    ( additive_identity = multiply(c,add(a,b))
    | ~ spl0_328 ),
    inference(avatar_component_clause,[],[f11229]) ).

fof(f8030,plain,
    ( ! [X26] : product(a,multiply(b,X26),multiply(c,X26))
    | ~ spl0_2 ),
    inference(resolution,[],[f2058,f31]) ).

fof(f11284,plain,
    ( spl0_333
    | ~ spl0_6
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f11267,f11229,f151,f11281]) ).

fof(f11267,plain,
    ( product(c,multiply(b,add(a,b)),additive_identity)
    | ~ spl0_6
    | ~ spl0_328 ),
    inference(superposition,[],[f8042,f11231]) ).

fof(f8042,plain,
    ( ! [X38] : product(c,multiply(b,X38),multiply(c,X38))
    | ~ spl0_6 ),
    inference(resolution,[],[f2058,f153]) ).

fof(f11261,plain,
    ( spl0_332
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11256,f11152,f11258]) ).

fof(f11258,plain,
    ( spl0_332
  <=> sum(additive_identity,c,multiply(c,add(c,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f11256,plain,
    ( sum(additive_identity,c,multiply(c,add(c,add(a,b))))
    | ~ spl0_327 ),
    inference(forward_demodulation,[],[f11224,f695]) ).

fof(f11224,plain,
    ( sum(additive_identity,c,multiply(c,add(add(a,b),c)))
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f1360]) ).

fof(f11255,plain,
    ( spl0_331
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11218,f11152,f11252]) ).

fof(f11252,plain,
    ( spl0_331
  <=> product(multiply(c,add(a,b)),add(a,b),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f11218,plain,
    ( product(multiply(c,add(a,b)),add(a,b),additive_identity)
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f94]) ).

fof(f11250,plain,
    ( spl0_330
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11221,f11152,f11247]) ).

fof(f11247,plain,
    ( spl0_330
  <=> sum(additive_identity,add(a,b),multiply(add(c,add(a,b)),add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f11221,plain,
    ( sum(additive_identity,add(a,b),multiply(add(c,add(a,b)),add(a,b)))
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f1335]) ).

fof(f11242,plain,
    ( spl0_329
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11203,f11152,f11235]) ).

fof(f11203,plain,
    ( product(c,add(c,add(a,b)),c)
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f1352]) ).

fof(f11240,plain,
    ( spl0_329
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11239,f11152,f11235]) ).

fof(f11239,plain,
    ( product(c,add(c,add(a,b)),c)
    | ~ spl0_327 ),
    inference(forward_demodulation,[],[f11222,f635]) ).

fof(f11222,plain,
    ( product(c,add(c,add(a,b)),add(c,additive_identity))
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f1357]) ).

fof(f11238,plain,
    ( spl0_329
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11233,f11152,f11235]) ).

fof(f11233,plain,
    ( product(c,add(c,add(a,b)),c)
    | ~ spl0_327 ),
    inference(forward_demodulation,[],[f11223,f634]) ).

fof(f11223,plain,
    ( product(c,add(c,add(a,b)),add(additive_identity,c))
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f1358]) ).

fof(f11232,plain,
    ( spl0_328
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f11220,f11152,f11229]) ).

fof(f11220,plain,
    ( additive_identity = multiply(c,add(a,b))
    | ~ spl0_327 ),
    inference(resolution,[],[f11154,f419]) ).

fof(f11157,plain,
    ( spl0_327
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f11156,f10415,f151,f11152]) ).

fof(f10415,plain,
    ( spl0_314
  <=> product(c,a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f11156,plain,
    ( product(c,add(a,b),additive_identity)
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(forward_demodulation,[],[f11149,f695]) ).

fof(f11149,plain,
    ( product(c,add(b,a),additive_identity)
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(resolution,[],[f10474,f4]) ).

fof(f10474,plain,
    ( ! [X0] :
        ( ~ sum(b,a,X0)
        | product(c,X0,additive_identity) )
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(forward_demodulation,[],[f10439,f4868]) ).

fof(f10439,plain,
    ( ! [X0] :
        ( ~ sum(b,a,X0)
        | product(c,X0,add(c,c)) )
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(resolution,[],[f10417,f392]) ).

fof(f392,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(c,X6,X5)
        | product(c,X4,add(c,X5))
        | ~ sum(b,X6,X4) )
    | ~ spl0_6 ),
    inference(resolution,[],[f172,f4]) ).

fof(f172,plain,
    ( ! [X14,X15,X12,X13] :
        ( ~ sum(c,X15,X13)
        | product(c,X12,X13)
        | ~ product(c,X14,X15)
        | ~ sum(b,X14,X12) )
    | ~ spl0_6 ),
    inference(resolution,[],[f153,f13]) ).

fof(f10417,plain,
    ( product(c,a,c)
    | ~ spl0_314 ),
    inference(avatar_component_clause,[],[f10415]) ).

fof(f11155,plain,
    ( spl0_327
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f11150,f10415,f151,f11152]) ).

fof(f11150,plain,
    ( product(c,add(a,b),additive_identity)
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(resolution,[],[f10474,f99]) ).

fof(f10752,plain,
    ( spl0_326
    | ~ spl0_2
    | ~ spl0_321 ),
    inference(avatar_split_clause,[],[f10732,f10660,f29,f10749]) ).

fof(f10660,plain,
    ( spl0_321
  <=> additive_identity = multiply(c,add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f10732,plain,
    ( product(a,multiply(b,add(a,c)),additive_identity)
    | ~ spl0_2
    | ~ spl0_321 ),
    inference(superposition,[],[f8030,f10662]) ).

fof(f10662,plain,
    ( additive_identity = multiply(c,add(a,c))
    | ~ spl0_321 ),
    inference(avatar_component_clause,[],[f10660]) ).

fof(f10747,plain,
    ( spl0_325
    | ~ spl0_6
    | ~ spl0_321 ),
    inference(avatar_split_clause,[],[f10730,f10660,f151,f10744]) ).

fof(f10730,plain,
    ( product(c,multiply(b,add(a,c)),additive_identity)
    | ~ spl0_6
    | ~ spl0_321 ),
    inference(superposition,[],[f8042,f10662]) ).

fof(f10728,plain,
    ( spl0_324
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10709,f9962,f10725]) ).

fof(f10725,plain,
    ( spl0_324
  <=> multiply(multiply(b,a),c) = multiply(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f10709,plain,
    ( multiply(multiply(b,a),c) = multiply(b,a)
    | ~ spl0_278 ),
    inference(superposition,[],[f870,f9964]) ).

fof(f870,plain,
    ! [X40,X39] : multiply(multiply(X39,X40),X40) = multiply(X39,X40),
    inference(resolution,[],[f722,f419]) ).

fof(f10723,plain,
    ( spl0_323
    | ~ spl0_6
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10702,f9962,f151,f10720]) ).

fof(f10720,plain,
    ( spl0_323
  <=> multiply(b,a) = multiply(multiply(b,a),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f10702,plain,
    ( multiply(b,a) = multiply(multiply(b,a),b)
    | ~ spl0_6
    | ~ spl0_278 ),
    inference(superposition,[],[f1039,f9964]) ).

fof(f1039,plain,
    ( ! [X35] : multiply(multiply(X35,c),b) = multiply(X35,c)
    | ~ spl0_6 ),
    inference(resolution,[],[f810,f419]) ).

fof(f810,plain,
    ( ! [X0] : product(multiply(X0,c),b,multiply(X0,c))
    | ~ spl0_6 ),
    inference(resolution,[],[f320,f3]) ).

fof(f10670,plain,
    ( spl0_322
    | ~ spl0_6
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f10665,f10487,f151,f10667]) ).

fof(f10667,plain,
    ( spl0_322
  <=> sum(additive_identity,c,multiply(c,add(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f10487,plain,
    ( spl0_317
  <=> product(c,add(a,c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f10665,plain,
    ( sum(additive_identity,c,multiply(c,add(b,add(a,c))))
    | ~ spl0_6
    | ~ spl0_317 ),
    inference(forward_demodulation,[],[f10620,f695]) ).

fof(f10620,plain,
    ( sum(additive_identity,c,multiply(c,add(add(a,c),b)))
    | ~ spl0_6
    | ~ spl0_317 ),
    inference(resolution,[],[f10489,f1928]) ).

fof(f10489,plain,
    ( product(c,add(a,c),additive_identity)
    | ~ spl0_317 ),
    inference(avatar_component_clause,[],[f10487]) ).

fof(f10663,plain,
    ( spl0_321
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f10640,f10487,f10660]) ).

fof(f10640,plain,
    ( additive_identity = multiply(c,add(a,c))
    | ~ spl0_317 ),
    inference(resolution,[],[f10489,f419]) ).

fof(f10652,plain,
    ( spl0_320
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f10638,f10487,f10649]) ).

fof(f10649,plain,
    ( spl0_320
  <=> product(multiply(c,add(a,c)),add(a,c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f10638,plain,
    ( product(multiply(c,add(a,c)),add(a,c),additive_identity)
    | ~ spl0_317 ),
    inference(resolution,[],[f10489,f94]) ).

fof(f10599,plain,
    ( spl0_319
    | ~ spl0_5
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f10594,f9977,f144,f10596]) ).

fof(f10594,plain,
    ( sum(multiply(b,a),c,multiply(add(a,b),c))
    | ~ spl0_5
    | ~ spl0_279 ),
    inference(forward_demodulation,[],[f10560,f695]) ).

fof(f10560,plain,
    ( sum(multiply(b,a),c,multiply(add(b,a),c))
    | ~ spl0_5
    | ~ spl0_279 ),
    inference(resolution,[],[f9979,f1923]) ).

fof(f10590,plain,
    ( spl0_318
    | ~ spl0_6
    | ~ spl0_278
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f10585,f9977,f9962,f151,f10587]) ).

fof(f10585,plain,
    ( product(multiply(b,a),b,multiply(b,a))
    | ~ spl0_6
    | ~ spl0_278
    | ~ spl0_279 ),
    inference(forward_demodulation,[],[f10559,f9964]) ).

fof(f10559,plain,
    ( product(multiply(b,c),b,multiply(b,a))
    | ~ spl0_6
    | ~ spl0_279 ),
    inference(resolution,[],[f9979,f320]) ).

fof(f10494,plain,
    ( spl0_317
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f10493,f10415,f10487]) ).

fof(f10493,plain,
    ( product(c,add(a,c),additive_identity)
    | ~ spl0_314 ),
    inference(forward_demodulation,[],[f10492,f695]) ).

fof(f10492,plain,
    ( product(c,add(c,a),additive_identity)
    | ~ spl0_314 ),
    inference(forward_demodulation,[],[f10464,f4868]) ).

fof(f10464,plain,
    ( product(c,add(c,a),add(c,c))
    | ~ spl0_314 ),
    inference(resolution,[],[f10417,f1358]) ).

fof(f10490,plain,
    ( spl0_317
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f10485,f10415,f10487]) ).

fof(f10485,plain,
    ( product(c,add(a,c),additive_identity)
    | ~ spl0_314 ),
    inference(forward_demodulation,[],[f10484,f695]) ).

fof(f10484,plain,
    ( product(c,add(c,a),additive_identity)
    | ~ spl0_314 ),
    inference(forward_demodulation,[],[f10463,f4868]) ).

fof(f10463,plain,
    ( product(c,add(c,a),add(c,c))
    | ~ spl0_314 ),
    inference(resolution,[],[f10417,f1357]) ).

fof(f10483,plain,
    ( spl0_316
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f10438,f10415,f151,f10480]) ).

fof(f10480,plain,
    ( spl0_316
  <=> sum(c,c,multiply(c,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f10438,plain,
    ( sum(c,c,multiply(c,add(a,b)))
    | ~ spl0_6
    | ~ spl0_314 ),
    inference(resolution,[],[f10417,f1928]) ).

fof(f10473,plain,
    ( spl0_315
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f10465,f10415,f10470]) ).

fof(f10470,plain,
    ( spl0_315
  <=> sum(c,c,multiply(c,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f10465,plain,
    ( sum(c,c,multiply(c,add(a,c)))
    | ~ spl0_314 ),
    inference(resolution,[],[f10417,f1360]) ).

fof(f10432,plain,
    ( spl0_314
    | ~ spl0_19
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f10431,f10285,f591,f10415]) ).

fof(f591,plain,
    ( spl0_19
  <=> c = multiply(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f10285,plain,
    ( spl0_298
  <=> product(a,multiply(b,a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f10431,plain,
    ( product(c,a,c)
    | ~ spl0_19
    | ~ spl0_298 ),
    inference(forward_demodulation,[],[f10390,f593]) ).

fof(f593,plain,
    ( c = multiply(a,b)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f10390,plain,
    ( product(multiply(a,b),a,c)
    | ~ spl0_298 ),
    inference(resolution,[],[f10287,f2076]) ).

fof(f2076,plain,
    ! [X3,X6,X4,X5] :
      ( ~ product(X3,multiply(X4,X5),X6)
      | product(multiply(X3,X4),X5,X6) ),
    inference(resolution,[],[f89,f3]) ).

fof(f89,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ product(X5,X6,X7)
      | product(X7,X8,X9)
      | ~ product(X5,multiply(X6,X8),X9) ),
    inference(resolution,[],[f3,f11]) ).

fof(f10287,plain,
    ( product(a,multiply(b,a),c)
    | ~ spl0_298 ),
    inference(avatar_component_clause,[],[f10285]) ).

fof(f10418,plain,
    ( spl0_314
    | ~ spl0_2
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f10382,f10285,f29,f10415]) ).

fof(f10382,plain,
    ( product(c,a,c)
    | ~ spl0_2
    | ~ spl0_298 ),
    inference(resolution,[],[f10287,f2087]) ).

fof(f2087,plain,
    ( ! [X34,X35] :
        ( ~ product(a,multiply(b,X34),X35)
        | product(c,X34,X35) )
    | ~ spl0_2 ),
    inference(resolution,[],[f89,f31]) ).

fof(f10381,plain,
    ( spl0_313
    | ~ spl0_120
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10083,f9962,f6707,f10378]) ).

fof(f10378,plain,
    ( spl0_313
  <=> additive_identity = multiply(c,add(b,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f6707,plain,
    ( spl0_120
  <=> additive_identity = multiply(c,add(b,multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f10083,plain,
    ( additive_identity = multiply(c,add(b,multiply(b,a)))
    | ~ spl0_120
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6709,f9964]) ).

fof(f6709,plain,
    ( additive_identity = multiply(c,add(b,multiply(b,c)))
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f6707]) ).

fof(f10376,plain,
    ( spl0_312
    | ~ spl0_122
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10085,f9962,f6720,f10373]) ).

fof(f10373,plain,
    ( spl0_312
  <=> sum(additive_identity,add(b,multiply(b,a)),multiply(add(c,add(b,multiply(b,a))),add(b,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f6720,plain,
    ( spl0_122
  <=> sum(additive_identity,add(b,multiply(b,c)),multiply(add(c,add(b,multiply(b,c))),add(b,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f10085,plain,
    ( sum(additive_identity,add(b,multiply(b,a)),multiply(add(c,add(b,multiply(b,a))),add(b,multiply(b,a))))
    | ~ spl0_122
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6722,f9964]) ).

fof(f6722,plain,
    ( sum(additive_identity,add(b,multiply(b,c)),multiply(add(c,add(b,multiply(b,c))),add(b,multiply(b,c))))
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f6720]) ).

fof(f10371,plain,
    ( spl0_311
    | ~ spl0_199
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10155,f9962,f7991,f10368]) ).

fof(f10368,plain,
    ( spl0_311
  <=> sum(additive_identity,a,multiply(a,add(a,add(c,multiply(b,a))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f7991,plain,
    ( spl0_199
  <=> sum(additive_identity,a,multiply(a,add(a,add(c,multiply(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f10155,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(c,multiply(b,a)))))
    | ~ spl0_199
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7993,f9964]) ).

fof(f7993,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(c,multiply(b,c)))))
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f7991]) ).

fof(f10365,plain,
    ( spl0_310
    | ~ spl0_200
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10156,f9962,f7996,f10362]) ).

fof(f10362,plain,
    ( spl0_310
  <=> sum(additive_identity,add(c,multiply(b,a)),multiply(add(a,add(c,multiply(b,a))),add(c,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f7996,plain,
    ( spl0_200
  <=> sum(additive_identity,add(c,multiply(b,c)),multiply(add(a,add(c,multiply(b,c))),add(c,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f10156,plain,
    ( sum(additive_identity,add(c,multiply(b,a)),multiply(add(a,add(c,multiply(b,a))),add(c,multiply(b,a))))
    | ~ spl0_200
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7998,f9964]) ).

fof(f7998,plain,
    ( sum(additive_identity,add(c,multiply(b,c)),multiply(add(a,add(c,multiply(b,c))),add(c,multiply(b,c))))
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f7996]) ).

fof(f10357,plain,
    ( spl0_309
    | ~ spl0_136
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10087,f9962,f6946,f10354]) ).

fof(f10354,plain,
    ( spl0_309
  <=> product(a,add(c,multiply(b,a)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f6946,plain,
    ( spl0_136
  <=> product(a,add(c,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f10087,plain,
    ( product(a,add(c,multiply(b,a)),additive_identity)
    | ~ spl0_136
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6948,f9964]) ).

fof(f6948,plain,
    ( product(a,add(c,multiply(b,c)),additive_identity)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f6946]) ).

fof(f10352,plain,
    ( spl0_308
    | ~ spl0_106
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10065,f9962,f6506,f10349]) ).

fof(f6506,plain,
    ( spl0_106
  <=> product(a,add(a,multiply(b,c)),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f10065,plain,
    ( product(a,add(a,multiply(b,a)),add(a,c))
    | ~ spl0_106
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6508,f9964]) ).

fof(f6508,plain,
    ( product(a,add(a,multiply(b,c)),add(a,c))
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f6506]) ).

fof(f10346,plain,
    ( spl0_307
    | ~ spl0_12
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10031,f9962,f259,f10343]) ).

fof(f10343,plain,
    ( spl0_307
  <=> product(c,multiply(b,a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f259,plain,
    ( spl0_12
  <=> product(c,multiply(b,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f10031,plain,
    ( product(c,multiply(b,a),c)
    | ~ spl0_12
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f261,f9964]) ).

fof(f261,plain,
    ( product(c,multiply(b,c),c)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f10341,plain,
    ( spl0_306
    | ~ spl0_198
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10154,f9962,f7980,f10338]) ).

fof(f10338,plain,
    ( spl0_306
  <=> product(a,add(a,add(c,multiply(b,a))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f7980,plain,
    ( spl0_198
  <=> product(a,add(a,add(c,multiply(b,c))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f10154,plain,
    ( product(a,add(a,add(c,multiply(b,a))),a)
    | ~ spl0_198
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7982,f9964]) ).

fof(f7982,plain,
    ( product(a,add(a,add(c,multiply(b,c))),a)
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f7980]) ).

fof(f10335,plain,
    ( spl0_305
    | ~ spl0_162
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10105,f9962,f7403,f10332]) ).

fof(f10332,plain,
    ( spl0_305
  <=> sum(additive_identity,add(c,multiply(b,a)),multiply(multiply(b,a),add(c,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f7403,plain,
    ( spl0_162
  <=> sum(additive_identity,add(c,multiply(b,c)),multiply(multiply(b,c),add(c,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f10105,plain,
    ( sum(additive_identity,add(c,multiply(b,a)),multiply(multiply(b,a),add(c,multiply(b,a))))
    | ~ spl0_162
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7405,f9964]) ).

fof(f7405,plain,
    ( sum(additive_identity,add(c,multiply(b,c)),multiply(multiply(b,c),add(c,multiply(b,c))))
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f7403]) ).

fof(f10329,plain,
    ( spl0_304
    | ~ spl0_179
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10125,f9962,f7648,f10326]) ).

fof(f10326,plain,
    ( spl0_304
  <=> sum(additive_identity,a,multiply(a,add(a,add(b,multiply(b,a))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f7648,plain,
    ( spl0_179
  <=> sum(additive_identity,a,multiply(a,add(a,add(b,multiply(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f10125,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(b,multiply(b,a)))))
    | ~ spl0_179
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7650,f9964]) ).

fof(f7650,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(b,multiply(b,c)))))
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f7648]) ).

fof(f10322,plain,
    ( spl0_303
    | ~ spl0_197
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10153,f9962,f7971,f10319]) ).

fof(f10319,plain,
    ( spl0_303
  <=> product(a,add(b,add(c,multiply(b,a))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f7971,plain,
    ( spl0_197
  <=> product(a,add(b,add(c,multiply(b,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f10153,plain,
    ( product(a,add(b,add(c,multiply(b,a))),c)
    | ~ spl0_197
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7973,f9964]) ).

fof(f7973,plain,
    ( product(a,add(b,add(c,multiply(b,c))),c)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f7971]) ).

fof(f10317,plain,
    ( spl0_302
    | ~ spl0_175
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10121,f9962,f7619,f10314]) ).

fof(f10314,plain,
    ( spl0_302
  <=> product(a,add(c,add(b,multiply(b,a))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f7619,plain,
    ( spl0_175
  <=> product(a,add(c,add(b,multiply(b,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f10121,plain,
    ( product(a,add(c,add(b,multiply(b,a))),c)
    | ~ spl0_175
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7621,f9964]) ).

fof(f7621,plain,
    ( product(a,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f7619]) ).

fof(f10312,plain,
    ( spl0_301
    | ~ spl0_121
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10084,f9962,f6713,f10309]) ).

fof(f10309,plain,
    ( spl0_301
  <=> sum(additive_identity,c,multiply(c,add(c,add(b,multiply(b,a))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f6713,plain,
    ( spl0_121
  <=> sum(additive_identity,c,multiply(c,add(c,add(b,multiply(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f10084,plain,
    ( sum(additive_identity,c,multiply(c,add(c,add(b,multiply(b,a)))))
    | ~ spl0_121
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6715,f9964]) ).

fof(f6715,plain,
    ( sum(additive_identity,c,multiply(c,add(c,add(b,multiply(b,c)))))
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f6713]) ).

fof(f10302,plain,
    ( spl0_300
    | ~ spl0_124
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10086,f9962,f6742,f10299]) ).

fof(f10299,plain,
    ( spl0_300
  <=> product(a,add(b,multiply(b,a)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f6742,plain,
    ( spl0_124
  <=> product(a,add(b,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f10086,plain,
    ( product(a,add(b,multiply(b,a)),additive_identity)
    | ~ spl0_124
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6744,f9964]) ).

fof(f6744,plain,
    ( product(a,add(b,multiply(b,c)),additive_identity)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f6742]) ).

fof(f10297,plain,
    ( spl0_299
    | ~ spl0_178
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10124,f9962,f7642,f10294]) ).

fof(f10294,plain,
    ( spl0_299
  <=> additive_identity = multiply(a,add(b,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f7642,plain,
    ( spl0_178
  <=> additive_identity = multiply(a,add(b,multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f10124,plain,
    ( additive_identity = multiply(a,add(b,multiply(b,a)))
    | ~ spl0_178
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7644,f9964]) ).

fof(f7644,plain,
    ( additive_identity = multiply(a,add(b,multiply(b,c)))
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f7642]) ).

fof(f10288,plain,
    ( spl0_298
    | ~ spl0_3
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10023,f9962,f132,f10285]) ).

fof(f132,plain,
    ( spl0_3
  <=> product(a,multiply(b,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f10023,plain,
    ( product(a,multiply(b,a),c)
    | ~ spl0_3
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f134,f9964]) ).

fof(f134,plain,
    ( product(a,multiply(b,c),c)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f10282,plain,
    ( spl0_297
    | ~ spl0_194
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10151,f9962,f7954,f10279]) ).

fof(f10279,plain,
    ( spl0_297
  <=> additive_identity = multiply(a,add(c,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f7954,plain,
    ( spl0_194
  <=> additive_identity = multiply(a,add(c,multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f10151,plain,
    ( additive_identity = multiply(a,add(c,multiply(b,a)))
    | ~ spl0_194
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7956,f9964]) ).

fof(f7956,plain,
    ( additive_identity = multiply(a,add(c,multiply(b,c)))
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f7954]) ).

fof(f10276,plain,
    ( spl0_296
    | ~ spl0_160
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10104,f9962,f7389,f10273]) ).

fof(f10273,plain,
    ( spl0_296
  <=> additive_identity = multiply(c,add(c,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f7389,plain,
    ( spl0_160
  <=> additive_identity = multiply(c,add(c,multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f10104,plain,
    ( additive_identity = multiply(c,add(c,multiply(b,a)))
    | ~ spl0_160
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7391,f9964]) ).

fof(f7391,plain,
    ( additive_identity = multiply(c,add(c,multiply(b,c)))
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f7389]) ).

fof(f10269,plain,
    ( spl0_295
    | ~ spl0_114
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10066,f9962,f6633,f10266]) ).

fof(f6633,plain,
    ( spl0_114
  <=> sum(c,a,multiply(a,add(a,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f10066,plain,
    ( sum(c,a,multiply(a,add(a,multiply(b,a))))
    | ~ spl0_114
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6635,f9964]) ).

fof(f6635,plain,
    ( sum(c,a,multiply(a,add(a,multiply(b,c))))
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f6633]) ).

fof(f10264,plain,
    ( spl0_294
    | ~ spl0_96
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10062,f9962,f6423,f10261]) ).

fof(f10261,plain,
    ( spl0_294
  <=> sum(c,multiply(b,a),multiply(add(c,multiply(b,a)),multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f6423,plain,
    ( spl0_96
  <=> sum(c,multiply(b,c),multiply(add(c,multiply(b,c)),multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f10062,plain,
    ( sum(c,multiply(b,a),multiply(add(c,multiply(b,a)),multiply(b,a)))
    | ~ spl0_96
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6425,f9964]) ).

fof(f6425,plain,
    ( sum(c,multiply(b,c),multiply(add(c,multiply(b,c)),multiply(b,c)))
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f6423]) ).

fof(f10258,plain,
    ( spl0_293
    | ~ spl0_24
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10041,f9962,f717,f10255]) ).

fof(f10255,plain,
    ( spl0_293
  <=> c = multiply(a,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f717,plain,
    ( spl0_24
  <=> c = multiply(a,multiply(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f10041,plain,
    ( c = multiply(a,multiply(b,a))
    | ~ spl0_24
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f719,f9964]) ).

fof(f719,plain,
    ( c = multiply(a,multiply(b,c))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f10253,plain,
    ( spl0_292
    | ~ spl0_196
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10152,f9962,f7965,f10250]) ).

fof(f10250,plain,
    ( spl0_292
  <=> sum(additive_identity,c,multiply(a,add(b,add(c,multiply(b,a))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f7965,plain,
    ( spl0_196
  <=> sum(additive_identity,c,multiply(a,add(b,add(c,multiply(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f10152,plain,
    ( sum(additive_identity,c,multiply(a,add(b,add(c,multiply(b,a)))))
    | ~ spl0_196
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7967,f9964]) ).

fof(f7967,plain,
    ( sum(additive_identity,c,multiply(a,add(b,add(c,multiply(b,c)))))
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f7965]) ).

fof(f10248,plain,
    ( spl0_291
    | ~ spl0_180
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10126,f9962,f7653,f10245]) ).

fof(f10245,plain,
    ( spl0_291
  <=> sum(additive_identity,add(b,multiply(b,a)),multiply(add(a,add(b,multiply(b,a))),add(b,multiply(b,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f7653,plain,
    ( spl0_180
  <=> sum(additive_identity,add(b,multiply(b,c)),multiply(add(a,add(b,multiply(b,c))),add(b,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f10126,plain,
    ( sum(additive_identity,add(b,multiply(b,a)),multiply(add(a,add(b,multiply(b,a))),add(b,multiply(b,a))))
    | ~ spl0_180
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7655,f9964]) ).

fof(f7655,plain,
    ( sum(additive_identity,add(b,multiply(b,c)),multiply(add(a,add(b,multiply(b,c))),add(b,multiply(b,c))))
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f7653]) ).

fof(f10243,plain,
    ( spl0_290
    | ~ spl0_23
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10040,f9962,f712,f10240]) ).

fof(f10240,plain,
    ( spl0_290
  <=> c = multiply(c,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f712,plain,
    ( spl0_23
  <=> c = multiply(c,multiply(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f10040,plain,
    ( c = multiply(c,multiply(b,a))
    | ~ spl0_23
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f714,f9964]) ).

fof(f714,plain,
    ( c = multiply(c,multiply(b,c))
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f10238,plain,
    ( spl0_289
    | ~ spl0_105
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10064,f9962,f6498,f10235]) ).

fof(f10235,plain,
    ( spl0_289
  <=> product(c,add(c,multiply(b,a)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f6498,plain,
    ( spl0_105
  <=> product(c,add(c,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f10064,plain,
    ( product(c,add(c,multiply(b,a)),additive_identity)
    | ~ spl0_105
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6500,f9964]) ).

fof(f6500,plain,
    ( product(c,add(c,multiply(b,c)),additive_identity)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f6498]) ).

fof(f10232,plain,
    ( spl0_288
    | ~ spl0_97
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10063,f9962,f6428,f10229]) ).

fof(f6428,plain,
    ( spl0_97
  <=> sum(c,multiply(b,c),multiply(add(a,multiply(b,c)),multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f10063,plain,
    ( sum(c,multiply(b,a),multiply(add(a,multiply(b,a)),multiply(b,a)))
    | ~ spl0_97
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6430,f9964]) ).

fof(f6430,plain,
    ( sum(c,multiply(b,c),multiply(add(a,multiply(b,c)),multiply(b,c)))
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f6428]) ).

fof(f10226,plain,
    ( spl0_287
    | ~ spl0_119
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10082,f9962,f6702,f10223]) ).

fof(f10223,plain,
    ( spl0_287
  <=> product(c,add(c,add(b,multiply(b,a))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f6702,plain,
    ( spl0_119
  <=> product(c,add(c,add(b,multiply(b,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f10082,plain,
    ( product(c,add(c,add(b,multiply(b,a))),c)
    | ~ spl0_119
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6704,f9964]) ).

fof(f6704,plain,
    ( product(c,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f6702]) ).

fof(f10218,plain,
    ( spl0_286
    | ~ spl0_92
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10061,f9962,f6202,f10215]) ).

fof(f10215,plain,
    ( spl0_286
  <=> product(c,add(b,multiply(b,a)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f6202,plain,
    ( spl0_92
  <=> product(c,add(b,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f10061,plain,
    ( product(c,add(b,multiply(b,a)),additive_identity)
    | ~ spl0_92
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f6204,f9964]) ).

fof(f6204,plain,
    ( product(c,add(b,multiply(b,c)),additive_identity)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f6202]) ).

fof(f10212,plain,
    ( spl0_285
    | ~ spl0_177
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10123,f9962,f7634,f10209]) ).

fof(f10209,plain,
    ( spl0_285
  <=> sum(additive_identity,c,multiply(a,add(c,add(b,multiply(b,a))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f7634,plain,
    ( spl0_177
  <=> sum(additive_identity,c,multiply(a,add(c,add(b,multiply(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f10123,plain,
    ( sum(additive_identity,c,multiply(a,add(c,add(b,multiply(b,a)))))
    | ~ spl0_177
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7636,f9964]) ).

fof(f7636,plain,
    ( sum(additive_identity,c,multiply(a,add(c,add(b,multiply(b,c)))))
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f7634]) ).

fof(f10206,plain,
    ( spl0_284
    | ~ spl0_176
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10122,f9962,f7628,f10203]) ).

fof(f10203,plain,
    ( spl0_284
  <=> product(a,add(a,add(b,multiply(b,a))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f7628,plain,
    ( spl0_176
  <=> product(a,add(a,add(b,multiply(b,c))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f10122,plain,
    ( product(a,add(a,add(b,multiply(b,a))),a)
    | ~ spl0_176
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7630,f9964]) ).

fof(f7630,plain,
    ( product(a,add(a,add(b,multiply(b,c))),a)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f7628]) ).

fof(f10200,plain,
    ( spl0_283
    | ~ spl0_159
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f10102,f9962,f7379,f10197]) ).

fof(f10197,plain,
    ( spl0_283
  <=> sum(additive_identity,c,multiply(c,add(b,add(c,multiply(b,a))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f7379,plain,
    ( spl0_159
  <=> sum(additive_identity,c,multiply(c,add(b,add(c,multiply(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f10102,plain,
    ( sum(additive_identity,c,multiply(c,add(b,add(c,multiply(b,a)))))
    | ~ spl0_159
    | ~ spl0_278 ),
    inference(backward_demodulation,[],[f7381,f9964]) ).

fof(f7381,plain,
    ( sum(additive_identity,c,multiply(c,add(b,add(c,multiply(b,c)))))
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f7379]) ).

fof(f10012,plain,
    ( spl0_282
    | ~ spl0_231
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f9916,f9788,f8910,f10009]) ).

fof(f8910,plain,
    ( spl0_231
  <=> sum(multiply(b,a),multiply(c,a),multiply(add(b,multiply(c,a)),multiply(c,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f9788,plain,
    ( spl0_272
  <=> c = multiply(c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f9916,plain,
    ( sum(multiply(b,a),c,multiply(add(b,c),c))
    | ~ spl0_231
    | ~ spl0_272 ),
    inference(backward_demodulation,[],[f8912,f9790]) ).

fof(f9790,plain,
    ( c = multiply(c,a)
    | ~ spl0_272 ),
    inference(avatar_component_clause,[],[f9788]) ).

fof(f8912,plain,
    ( sum(multiply(b,a),multiply(c,a),multiply(add(b,multiply(c,a)),multiply(c,a)))
    | ~ spl0_231 ),
    inference(avatar_component_clause,[],[f8910]) ).

fof(f10002,plain,
    ( spl0_281
    | ~ spl0_234
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f9918,f9788,f8926,f9999]) ).

fof(f8926,plain,
    ( spl0_234
  <=> product(multiply(b,a),multiply(c,a),multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f9918,plain,
    ( product(multiply(b,a),c,multiply(b,a))
    | ~ spl0_234
    | ~ spl0_272 ),
    inference(backward_demodulation,[],[f8928,f9790]) ).

fof(f8928,plain,
    ( product(multiply(b,a),multiply(c,a),multiply(b,a))
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f8926]) ).

fof(f9988,plain,
    ( spl0_280
    | ~ spl0_228
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f9914,f9788,f8893,f9985]) ).

fof(f8893,plain,
    ( spl0_228
  <=> product(b,add(b,multiply(c,a)),add(b,multiply(b,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f9914,plain,
    ( product(b,add(b,c),add(b,multiply(b,a)))
    | ~ spl0_228
    | ~ spl0_272 ),
    inference(backward_demodulation,[],[f8895,f9790]) ).

fof(f8895,plain,
    ( product(b,add(b,multiply(c,a)),add(b,multiply(b,a)))
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f8893]) ).

fof(f9980,plain,
    ( spl0_279
    | ~ spl0_202
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f9897,f9788,f8226,f9977]) ).

fof(f8226,plain,
    ( spl0_202
  <=> product(b,multiply(c,a),multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f9897,plain,
    ( product(b,c,multiply(b,a))
    | ~ spl0_202
    | ~ spl0_272 ),
    inference(backward_demodulation,[],[f8228,f9790]) ).

fof(f8228,plain,
    ( product(b,multiply(c,a),multiply(b,a))
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f8226]) ).

fof(f9965,plain,
    ( spl0_278
    | ~ spl0_233
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f9917,f9788,f8920,f9962]) ).

fof(f8920,plain,
    ( spl0_233
  <=> multiply(b,multiply(c,a)) = multiply(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f9917,plain,
    ( multiply(b,a) = multiply(b,c)
    | ~ spl0_233
    | ~ spl0_272 ),
    inference(backward_demodulation,[],[f8922,f9790]) ).

fof(f8922,plain,
    ( multiply(b,multiply(c,a)) = multiply(b,a)
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f8920]) ).

fof(f9956,plain,
    ( spl0_277
    | ~ spl0_227
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f9913,f9788,f8887,f9953]) ).

fof(f8887,plain,
    ( spl0_227
  <=> sum(multiply(b,a),b,multiply(b,add(b,multiply(c,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f9913,plain,
    ( sum(multiply(b,a),b,multiply(b,add(b,c)))
    | ~ spl0_227
    | ~ spl0_272 ),
    inference(backward_demodulation,[],[f8889,f9790]) ).

fof(f8889,plain,
    ( sum(multiply(b,a),b,multiply(b,add(b,multiply(c,a))))
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f8887]) ).

fof(f9820,plain,
    ( spl0_275
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9819,f9564,f9806]) ).

fof(f9806,plain,
    ( spl0_275
  <=> sum(multiply(c,a),additive_identity,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f9564,plain,
    ( spl0_267
  <=> sum(add(a,c),a,multiply(c,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f9819,plain,
    ( sum(multiply(c,a),additive_identity,c)
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f9775,f5139]) ).

fof(f9775,plain,
    ( sum(multiply(c,a),additive_identity,add(a,add(a,c)))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f1213]) ).

fof(f9566,plain,
    ( sum(add(a,c),a,multiply(c,a))
    | ~ spl0_267 ),
    inference(avatar_component_clause,[],[f9564]) ).

fof(f9818,plain,
    ( spl0_272
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9817,f9564,f9788]) ).

fof(f9817,plain,
    ( c = multiply(c,a)
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f9772,f5181]) ).

fof(f5181,plain,
    ! [X48,X47] : add(add(X47,X48),X47) = X48,
    inference(backward_demodulation,[],[f1978,f5077]) ).

fof(f1978,plain,
    ! [X48,X47] : add(add(X47,X48),additive_inverse(X47)) = X48,
    inference(resolution,[],[f1824,f406]) ).

fof(f1824,plain,
    ! [X2,X1] : sum(add(X1,X2),additive_inverse(X1),X2),
    inference(superposition,[],[f1710,f1473]) ).

fof(f1473,plain,
    ! [X47] : additive_inverse(additive_inverse(X47)) = X47,
    inference(forward_demodulation,[],[f1452,f635]) ).

fof(f1452,plain,
    ! [X47] : add(X47,additive_identity) = additive_inverse(additive_inverse(X47)),
    inference(resolution,[],[f1416,f406]) ).

fof(f1416,plain,
    ! [X0] : sum(X0,additive_identity,additive_inverse(additive_inverse(X0))),
    inference(resolution,[],[f1304,f6]) ).

fof(f9772,plain,
    ( multiply(c,a) = add(add(a,c),a)
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f406]) ).

fof(f9816,plain,
    ( spl0_276
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9755,f9564,f9813]) ).

fof(f9813,plain,
    ( spl0_276
  <=> sum(c,additive_identity,multiply(c,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f9755,plain,
    ( sum(c,additive_identity,multiply(c,a))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f5101]) ).

fof(f5101,plain,
    ! [X10,X11,X9] :
      ( ~ sum(add(X9,X10),X9,X11)
      | sum(X10,additive_identity,X11) ),
    inference(backward_demodulation,[],[f1262,f5077]) ).

fof(f1262,plain,
    ! [X10,X11,X9] :
      ( sum(X10,additive_identity,X11)
      | ~ sum(add(additive_inverse(X9),X10),X9,X11) ),
    inference(resolution,[],[f116,f99]) ).

fof(f116,plain,
    ! [X10,X11,X8,X9] :
      ( ~ sum(X8,additive_inverse(X9),X10)
      | ~ sum(X10,X9,X11)
      | sum(X8,additive_identity,X11) ),
    inference(resolution,[],[f7,f5]) ).

fof(f9811,plain,
    ( spl0_273
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9810,f9564,f9793]) ).

fof(f9793,plain,
    ( spl0_273
  <=> sum(add(a,c),additive_identity,add(a,multiply(c,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f9810,plain,
    ( sum(add(a,c),additive_identity,add(a,multiply(c,a)))
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f9778,f695]) ).

fof(f9778,plain,
    ( sum(add(a,c),additive_identity,add(multiply(c,a),a))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f5103]) ).

fof(f9809,plain,
    ( spl0_275
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9804,f9564,f9806]) ).

fof(f9804,plain,
    ( sum(multiply(c,a),additive_identity,c)
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f9803,f5139]) ).

fof(f9803,plain,
    ( sum(multiply(c,a),additive_identity,add(a,add(a,c)))
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f9774,f695]) ).

fof(f9774,plain,
    ( sum(multiply(c,a),additive_identity,add(add(a,c),a))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f1212]) ).

fof(f9801,plain,
    ( spl0_274
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9780,f9564,f9798]) ).

fof(f9798,plain,
    ( spl0_274
  <=> sum(multiply(c,a),a,add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f9780,plain,
    ( sum(multiply(c,a),a,add(a,c))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f5106]) ).

fof(f9796,plain,
    ( spl0_273
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9779,f9564,f9793]) ).

fof(f9779,plain,
    ( sum(add(a,c),additive_identity,add(a,multiply(c,a)))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f5104]) ).

fof(f9791,plain,
    ( spl0_272
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9786,f9564,f9788]) ).

fof(f9786,plain,
    ( c = multiply(c,a)
    | ~ spl0_267 ),
    inference(forward_demodulation,[],[f9773,f5139]) ).

fof(f9773,plain,
    ( multiply(c,a) = add(a,add(a,c))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f407]) ).

fof(f9785,plain,
    ( spl0_271
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f9761,f9564,f9782]) ).

fof(f9782,plain,
    ( spl0_271
  <=> sum(a,add(a,c),multiply(c,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f9761,plain,
    ( sum(a,add(a,c),multiply(c,a))
    | ~ spl0_267 ),
    inference(resolution,[],[f9566,f9]) ).

fof(f9729,plain,
    ( spl0_270
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f9695,f7855,f9726]) ).

fof(f7855,plain,
    ( spl0_190
  <=> product(add(a,c),b,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f9695,plain,
    ( product(b,additive_identity,multiply(b,add(a,c)))
    | ~ spl0_190 ),
    inference(resolution,[],[f8044,f93]) ).

fof(f8044,plain,
    ( ! [X25] : product(add(a,c),multiply(b,X25),additive_identity)
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f8029,f658]) ).

fof(f8029,plain,
    ( ! [X25] : product(add(a,c),multiply(b,X25),multiply(additive_identity,X25))
    | ~ spl0_190 ),
    inference(resolution,[],[f2058,f7857]) ).

fof(f7857,plain,
    ( product(add(a,c),b,additive_identity)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f7855]) ).

fof(f9685,plain,
    ( spl0_269
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f9649,f7184,f9682]) ).

fof(f9682,plain,
    ( spl0_269
  <=> product(c,additive_identity,multiply(c,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f7184,plain,
    ( spl0_151
  <=> product(add(a,c),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f9649,plain,
    ( product(c,additive_identity,multiply(c,add(a,c)))
    | ~ spl0_151 ),
    inference(resolution,[],[f8049,f93]) ).

fof(f8049,plain,
    ( ! [X24] : product(add(a,c),multiply(c,X24),additive_identity)
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f8028,f658]) ).

fof(f8028,plain,
    ( ! [X24] : product(add(a,c),multiply(c,X24),multiply(additive_identity,X24))
    | ~ spl0_151 ),
    inference(resolution,[],[f2058,f7186]) ).

fof(f7186,plain,
    ( product(add(a,c),c,additive_identity)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f7184]) ).

fof(f9574,plain,
    ( spl0_268
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f9534,f7230,f9571]) ).

fof(f9571,plain,
    ( spl0_268
  <=> product(multiply(add(a,c),a),a,add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f7230,plain,
    ( spl0_153
  <=> product(add(a,c),a,add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f9534,plain,
    ( product(multiply(add(a,c),a),a,add(a,c))
    | ~ spl0_153 ),
    inference(resolution,[],[f7232,f94]) ).

fof(f7232,plain,
    ( product(add(a,c),a,add(a,c))
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f7230]) ).

fof(f9567,plain,
    ( spl0_267
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f9562,f7230,f9564]) ).

fof(f9562,plain,
    ( sum(add(a,c),a,multiply(c,a))
    | ~ spl0_153 ),
    inference(forward_demodulation,[],[f9561,f5139]) ).

fof(f9561,plain,
    ( sum(add(a,c),a,multiply(add(a,add(a,c)),a))
    | ~ spl0_153 ),
    inference(forward_demodulation,[],[f9537,f695]) ).

fof(f9537,plain,
    ( sum(add(a,c),a,multiply(add(add(a,c),a),a))
    | ~ spl0_153 ),
    inference(resolution,[],[f7232,f1335]) ).

fof(f9558,plain,
    ( spl0_266
    | ~ spl0_3
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f9516,f7230,f132,f9555]) ).

fof(f9555,plain,
    ( spl0_266
  <=> product(add(a,c),c,multiply(add(a,c),multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f9516,plain,
    ( product(add(a,c),c,multiply(add(a,c),multiply(b,c)))
    | ~ spl0_3
    | ~ spl0_153 ),
    inference(resolution,[],[f7232,f2071]) ).

fof(f2071,plain,
    ( ! [X38,X39] :
        ( ~ product(X38,a,X39)
        | product(X38,c,multiply(X39,multiply(b,c))) )
    | ~ spl0_3 ),
    inference(resolution,[],[f88,f134]) ).

fof(f9553,plain,
    ( spl0_265
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f9536,f7230,f9550]) ).

fof(f9550,plain,
    ( spl0_265
  <=> add(a,c) = multiply(add(a,c),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f9536,plain,
    ( add(a,c) = multiply(add(a,c),a)
    | ~ spl0_153 ),
    inference(resolution,[],[f7232,f419]) ).

fof(f9433,plain,
    ( spl0_264
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9388,f8915,f9430]) ).

fof(f9430,plain,
    ( spl0_264
  <=> multiply(b,a) = multiply(multiply(b,c),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f8915,plain,
    ( spl0_232
  <=> product(multiply(b,c),a,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f9388,plain,
    ( multiply(b,a) = multiply(multiply(b,c),a)
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f419]) ).

fof(f8917,plain,
    ( product(multiply(b,c),a,multiply(b,a))
    | ~ spl0_232 ),
    inference(avatar_component_clause,[],[f8915]) ).

fof(f9428,plain,
    ( spl0_261
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9427,f8915,f9412]) ).

fof(f9412,plain,
    ( spl0_261
  <=> product(multiply(b,c),add(a,multiply(b,c)),add(multiply(b,a),multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f9427,plain,
    ( product(multiply(b,c),add(a,multiply(b,c)),add(multiply(b,a),multiply(b,c)))
    | ~ spl0_232 ),
    inference(forward_demodulation,[],[f9426,f695]) ).

fof(f9426,plain,
    ( product(multiply(b,c),add(multiply(b,c),a),add(multiply(b,a),multiply(b,c)))
    | ~ spl0_232 ),
    inference(forward_demodulation,[],[f9390,f695]) ).

fof(f9390,plain,
    ( product(multiply(b,c),add(multiply(b,c),a),add(multiply(b,c),multiply(b,a)))
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f1357]) ).

fof(f9425,plain,
    ( spl0_263
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9386,f8915,f9422]) ).

fof(f9422,plain,
    ( spl0_263
  <=> product(multiply(multiply(b,c),a),a,multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f9386,plain,
    ( product(multiply(multiply(b,c),a),a,multiply(b,a))
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f94]) ).

fof(f9420,plain,
    ( spl0_262
    | ~ spl0_3
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9368,f8915,f132,f9417]) ).

fof(f9417,plain,
    ( spl0_262
  <=> product(multiply(b,c),c,multiply(multiply(b,a),multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f9368,plain,
    ( product(multiply(b,c),c,multiply(multiply(b,a),multiply(b,c)))
    | ~ spl0_3
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f2071]) ).

fof(f9415,plain,
    ( spl0_261
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9410,f8915,f9412]) ).

fof(f9410,plain,
    ( product(multiply(b,c),add(a,multiply(b,c)),add(multiply(b,a),multiply(b,c)))
    | ~ spl0_232 ),
    inference(forward_demodulation,[],[f9391,f695]) ).

fof(f9391,plain,
    ( product(multiply(b,c),add(multiply(b,c),a),add(multiply(b,a),multiply(b,c)))
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f1358]) ).

fof(f9406,plain,
    ( spl0_260
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9392,f8915,f9403]) ).

fof(f9403,plain,
    ( spl0_260
  <=> sum(multiply(b,a),multiply(b,c),multiply(multiply(b,c),add(a,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f9392,plain,
    ( sum(multiply(b,a),multiply(b,c),multiply(multiply(b,c),add(a,multiply(b,c))))
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f1360]) ).

fof(f9401,plain,
    ( spl0_259
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f9396,f8915,f9398]) ).

fof(f9398,plain,
    ( spl0_259
  <=> sum(multiply(b,a),a,multiply(add(a,multiply(b,c)),a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f9396,plain,
    ( sum(multiply(b,a),a,multiply(add(a,multiply(b,c)),a))
    | ~ spl0_232 ),
    inference(forward_demodulation,[],[f9389,f695]) ).

fof(f9389,plain,
    ( sum(multiply(b,a),a,multiply(add(multiply(b,c),a),a))
    | ~ spl0_232 ),
    inference(resolution,[],[f8917,f1335]) ).

fof(f9359,plain,
    ( spl0_258
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9358,f8333,f9350]) ).

fof(f9350,plain,
    ( spl0_258
  <=> product(c,add(c,multiply(b,add(b,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f8333,plain,
    ( spl0_203
  <=> product(c,multiply(b,add(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f9358,plain,
    ( product(c,add(c,multiply(b,add(b,c))),c)
    | ~ spl0_203 ),
    inference(forward_demodulation,[],[f9320,f635]) ).

fof(f9320,plain,
    ( product(c,add(c,multiply(b,add(b,c))),add(c,additive_identity))
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f1357]) ).

fof(f8335,plain,
    ( product(c,multiply(b,add(b,c)),additive_identity)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f8333]) ).

fof(f9355,plain,
    ( spl0_258
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9354,f8333,f9350]) ).

fof(f9354,plain,
    ( product(c,add(c,multiply(b,add(b,c))),c)
    | ~ spl0_203 ),
    inference(forward_demodulation,[],[f9321,f634]) ).

fof(f9321,plain,
    ( product(c,add(c,multiply(b,add(b,c))),add(additive_identity,c))
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f1358]) ).

fof(f9353,plain,
    ( spl0_258
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9301,f8333,f9350]) ).

fof(f9301,plain,
    ( product(c,add(c,multiply(b,add(b,c))),c)
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f1352]) ).

fof(f9347,plain,
    ( spl0_257
    | ~ spl0_6
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9342,f8333,f151,f9344]) ).

fof(f9344,plain,
    ( spl0_257
  <=> sum(additive_identity,c,multiply(c,add(b,multiply(b,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f9342,plain,
    ( sum(additive_identity,c,multiply(c,add(b,multiply(b,add(b,c)))))
    | ~ spl0_6
    | ~ spl0_203 ),
    inference(forward_demodulation,[],[f9298,f695]) ).

fof(f9298,plain,
    ( sum(additive_identity,c,multiply(c,add(multiply(b,add(b,c)),b)))
    | ~ spl0_6
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f1928]) ).

fof(f9340,plain,
    ( spl0_256
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9318,f8333,f9337]) ).

fof(f9337,plain,
    ( spl0_256
  <=> additive_identity = multiply(c,multiply(b,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f9318,plain,
    ( additive_identity = multiply(c,multiply(b,add(b,c)))
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f419]) ).

fof(f9335,plain,
    ( spl0_255
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9330,f8333,f9332]) ).

fof(f9332,plain,
    ( spl0_255
  <=> sum(additive_identity,c,multiply(c,add(c,multiply(b,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f9330,plain,
    ( sum(additive_identity,c,multiply(c,add(c,multiply(b,add(b,c)))))
    | ~ spl0_203 ),
    inference(forward_demodulation,[],[f9322,f695]) ).

fof(f9322,plain,
    ( sum(additive_identity,c,multiply(c,add(multiply(b,add(b,c)),c)))
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f1360]) ).

fof(f9329,plain,
    ( spl0_254
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f9319,f8333,f9326]) ).

fof(f9326,plain,
    ( spl0_254
  <=> sum(additive_identity,multiply(b,add(b,c)),multiply(add(c,multiply(b,add(b,c))),multiply(b,add(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f9319,plain,
    ( sum(additive_identity,multiply(b,add(b,c)),multiply(add(c,multiply(b,add(b,c))),multiply(b,add(b,c))))
    | ~ spl0_203 ),
    inference(resolution,[],[f8335,f1335]) ).

fof(f9295,plain,
    ( spl0_249
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9294,f8220,f144,f9256]) ).

fof(f9256,plain,
    ( spl0_249
  <=> product(a,add(c,multiply(b,add(b,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f8220,plain,
    ( spl0_201
  <=> product(a,multiply(b,add(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f9294,plain,
    ( product(a,add(c,multiply(b,add(b,c))),c)
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9205,f634]) ).

fof(f9205,plain,
    ( product(a,add(c,multiply(b,add(b,c))),add(additive_identity,c))
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1787]) ).

fof(f8222,plain,
    ( product(a,multiply(b,add(b,c)),additive_identity)
    | ~ spl0_201 ),
    inference(avatar_component_clause,[],[f8220]) ).

fof(f9293,plain,
    ( spl0_250
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9212,f8220,f9262]) ).

fof(f9262,plain,
    ( spl0_250
  <=> product(a,add(a,multiply(b,add(b,c))),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f9212,plain,
    ( product(a,add(a,multiply(b,add(b,c))),a)
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1352]) ).

fof(f9291,plain,
    ( spl0_251
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9290,f8220,f29,f9269]) ).

fof(f9269,plain,
    ( spl0_251
  <=> product(a,add(b,multiply(b,add(b,c))),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f9290,plain,
    ( product(a,add(b,multiply(b,add(b,c))),c)
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9209,f635]) ).

fof(f9209,plain,
    ( product(a,add(b,multiply(b,add(b,c))),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1648]) ).

fof(f9288,plain,
    ( spl0_250
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9287,f8220,f9262]) ).

fof(f9287,plain,
    ( product(a,add(a,multiply(b,add(b,c))),a)
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9232,f634]) ).

fof(f9232,plain,
    ( product(a,add(a,multiply(b,add(b,c))),add(additive_identity,a))
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1358]) ).

fof(f9286,plain,
    ( spl0_249
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9202,f8220,f144,f9256]) ).

fof(f9202,plain,
    ( product(a,add(c,multiply(b,add(b,c))),c)
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1784]) ).

fof(f9285,plain,
    ( spl0_253
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9230,f8220,f9282]) ).

fof(f9282,plain,
    ( spl0_253
  <=> sum(additive_identity,multiply(b,add(b,c)),multiply(add(a,multiply(b,add(b,c))),multiply(b,add(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f9230,plain,
    ( sum(additive_identity,multiply(b,add(b,c)),multiply(add(a,multiply(b,add(b,c))),multiply(b,add(b,c))))
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1335]) ).

fof(f9280,plain,
    ( spl0_252
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9229,f8220,f9277]) ).

fof(f9277,plain,
    ( spl0_252
  <=> additive_identity = multiply(a,multiply(b,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f9229,plain,
    ( additive_identity = multiply(a,multiply(b,add(b,c)))
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f419]) ).

fof(f9272,plain,
    ( spl0_251
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9267,f8220,f29,f9269]) ).

fof(f9267,plain,
    ( product(a,add(b,multiply(b,add(b,c))),c)
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9266,f695]) ).

fof(f9266,plain,
    ( product(a,add(multiply(b,add(b,c)),b),c)
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9208,f635]) ).

fof(f9208,plain,
    ( product(a,add(multiply(b,add(b,c)),b),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1649]) ).

fof(f9265,plain,
    ( spl0_250
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9260,f8220,f9262]) ).

fof(f9260,plain,
    ( product(a,add(a,multiply(b,add(b,c))),a)
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9231,f635]) ).

fof(f9231,plain,
    ( product(a,add(a,multiply(b,add(b,c))),add(a,additive_identity))
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1357]) ).

fof(f9259,plain,
    ( spl0_249
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9254,f8220,f144,f9256]) ).

fof(f9254,plain,
    ( product(a,add(c,multiply(b,add(b,c))),c)
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9206,f635]) ).

fof(f9206,plain,
    ( product(a,add(c,multiply(b,add(b,c))),add(c,additive_identity))
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1786]) ).

fof(f9253,plain,
    ( spl0_248
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9248,f8220,f9250]) ).

fof(f9250,plain,
    ( spl0_248
  <=> sum(additive_identity,a,multiply(a,add(a,multiply(b,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f9248,plain,
    ( sum(additive_identity,a,multiply(a,add(a,multiply(b,add(b,c)))))
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9233,f695]) ).

fof(f9233,plain,
    ( sum(additive_identity,a,multiply(a,add(multiply(b,add(b,c)),a)))
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1360]) ).

fof(f9247,plain,
    ( spl0_247
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9242,f8220,f144,f9244]) ).

fof(f9244,plain,
    ( spl0_247
  <=> sum(additive_identity,c,multiply(a,add(c,multiply(b,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f9242,plain,
    ( sum(additive_identity,c,multiply(a,add(c,multiply(b,add(b,c)))))
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9207,f695]) ).

fof(f9207,plain,
    ( sum(additive_identity,c,multiply(a,add(multiply(b,add(b,c)),c)))
    | ~ spl0_5
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1714]) ).

fof(f9241,plain,
    ( spl0_246
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f9236,f8220,f29,f9238]) ).

fof(f9238,plain,
    ( spl0_246
  <=> sum(additive_identity,c,multiply(a,add(b,multiply(b,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f9236,plain,
    ( sum(additive_identity,c,multiply(a,add(b,multiply(b,add(b,c)))))
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(forward_demodulation,[],[f9210,f695]) ).

fof(f9210,plain,
    ( sum(additive_identity,c,multiply(a,add(multiply(b,add(b,c)),b)))
    | ~ spl0_2
    | ~ spl0_201 ),
    inference(resolution,[],[f8222,f1386]) ).

fof(f9191,plain,
    ( spl0_245
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9144,f7189,f9188]) ).

fof(f9188,plain,
    ( spl0_245
  <=> sum(additive_identity,multiply(add(a,c),a),multiply(multiply(add(a,c),a),add(b,multiply(add(a,c),a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f7189,plain,
    ( spl0_152
  <=> product(multiply(add(a,c),a),b,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f9144,plain,
    ( sum(additive_identity,multiply(add(a,c),a),multiply(multiply(add(a,c),a),add(b,multiply(add(a,c),a))))
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1360]) ).

fof(f7191,plain,
    ( product(multiply(add(a,c),a),b,additive_identity)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f7189]) ).

fof(f9186,plain,
    ( spl0_244
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9181,f7189,f9183]) ).

fof(f9183,plain,
    ( spl0_244
  <=> sum(additive_identity,b,multiply(add(b,multiply(add(a,c),a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f9181,plain,
    ( sum(additive_identity,b,multiply(add(b,multiply(add(a,c),a)),b))
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9141,f695]) ).

fof(f9141,plain,
    ( sum(additive_identity,b,multiply(add(multiply(add(a,c),a),b),b))
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1335]) ).

fof(f9180,plain,
    ( spl0_243
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9140,f7189,f9177]) ).

fof(f9177,plain,
    ( spl0_243
  <=> additive_identity = multiply(multiply(add(a,c),a),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f9140,plain,
    ( additive_identity = multiply(multiply(add(a,c),a),b)
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f419]) ).

fof(f9174,plain,
    ( spl0_240
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9173,f7189,f9150]) ).

fof(f9150,plain,
    ( spl0_240
  <=> product(multiply(add(a,c),a),add(b,multiply(add(a,c),a)),multiply(add(a,c),a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f9173,plain,
    ( product(multiply(add(a,c),a),add(b,multiply(add(a,c),a)),multiply(add(a,c),a))
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9172,f695]) ).

fof(f9172,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),b),multiply(add(a,c),a))
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9143,f634]) ).

fof(f9143,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),b),add(additive_identity,multiply(add(a,c),a)))
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1358]) ).

fof(f9171,plain,
    ( spl0_240
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9170,f7189,f9150]) ).

fof(f9170,plain,
    ( product(multiply(add(a,c),a),add(b,multiply(add(a,c),a)),multiply(add(a,c),a))
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9123,f695]) ).

fof(f9123,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),b),multiply(add(a,c),a))
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1352]) ).

fof(f9168,plain,
    ( spl0_242
    | ~ spl0_2
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9167,f7189,f29,f9161]) ).

fof(f9161,plain,
    ( spl0_242
  <=> sum(additive_identity,c,multiply(add(a,multiply(add(a,c),a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f9167,plain,
    ( sum(additive_identity,c,multiply(add(a,multiply(add(a,c),a)),b))
    | ~ spl0_2
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9120,f695]) ).

fof(f9120,plain,
    ( sum(additive_identity,c,multiply(add(multiply(add(a,c),a),a),b))
    | ~ spl0_2
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1691]) ).

fof(f9164,plain,
    ( spl0_242
    | ~ spl0_2
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9119,f7189,f29,f9161]) ).

fof(f9119,plain,
    ( sum(additive_identity,c,multiply(add(a,multiply(add(a,c),a)),b))
    | ~ spl0_2
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1692]) ).

fof(f9159,plain,
    ( spl0_241
    | ~ spl0_6
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9154,f7189,f151,f9156]) ).

fof(f9156,plain,
    ( spl0_241
  <=> sum(additive_identity,c,multiply(add(c,multiply(add(a,c),a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f9154,plain,
    ( sum(additive_identity,c,multiply(add(c,multiply(add(a,c),a)),b))
    | ~ spl0_6
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9118,f695]) ).

fof(f9118,plain,
    ( sum(additive_identity,c,multiply(add(multiply(add(a,c),a),c),b))
    | ~ spl0_6
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f2002]) ).

fof(f9153,plain,
    ( spl0_240
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f9148,f7189,f9150]) ).

fof(f9148,plain,
    ( product(multiply(add(a,c),a),add(b,multiply(add(a,c),a)),multiply(add(a,c),a))
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9147,f695]) ).

fof(f9147,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),b),multiply(add(a,c),a))
    | ~ spl0_152 ),
    inference(forward_demodulation,[],[f9142,f635]) ).

fof(f9142,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),b),add(multiply(add(a,c),a),additive_identity))
    | ~ spl0_152 ),
    inference(resolution,[],[f7191,f1357]) ).

fof(f9099,plain,
    ( spl0_239
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9053,f7178,f9096]) ).

fof(f9096,plain,
    ( spl0_239
  <=> additive_identity = multiply(multiply(add(a,c),a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f7178,plain,
    ( spl0_150
  <=> product(multiply(add(a,c),a),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f9053,plain,
    ( additive_identity = multiply(multiply(add(a,c),a),c)
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f419]) ).

fof(f7180,plain,
    ( product(multiply(add(a,c),a),c,additive_identity)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f7178]) ).

fof(f9094,plain,
    ( spl0_236
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9093,f7178,f9068]) ).

fof(f9068,plain,
    ( spl0_236
  <=> product(multiply(add(a,c),a),add(c,multiply(add(a,c),a)),multiply(add(a,c),a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f9093,plain,
    ( product(multiply(add(a,c),a),add(c,multiply(add(a,c),a)),multiply(add(a,c),a))
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9092,f695]) ).

fof(f9092,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),c),multiply(add(a,c),a))
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9056,f634]) ).

fof(f9056,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),c),add(additive_identity,multiply(add(a,c),a)))
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f1358]) ).

fof(f9088,plain,
    ( spl0_238
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9057,f7178,f9085]) ).

fof(f9085,plain,
    ( spl0_238
  <=> sum(additive_identity,multiply(add(a,c),a),multiply(multiply(add(a,c),a),add(c,multiply(add(a,c),a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f9057,plain,
    ( sum(additive_identity,multiply(add(a,c),a),multiply(multiply(add(a,c),a),add(c,multiply(add(a,c),a))))
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f1360]) ).

fof(f9083,plain,
    ( spl0_236
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9082,f7178,f9068]) ).

fof(f9082,plain,
    ( product(multiply(add(a,c),a),add(c,multiply(add(a,c),a)),multiply(add(a,c),a))
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9081,f695]) ).

fof(f9081,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),c),multiply(add(a,c),a))
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9055,f635]) ).

fof(f9055,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),c),add(multiply(add(a,c),a),additive_identity))
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f1357]) ).

fof(f9079,plain,
    ( spl0_237
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9074,f7178,f144,f9076]) ).

fof(f9076,plain,
    ( spl0_237
  <=> sum(additive_identity,c,multiply(add(a,multiply(add(a,c),a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f9074,plain,
    ( sum(additive_identity,c,multiply(add(a,multiply(add(a,c),a)),c))
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9033,f695]) ).

fof(f9033,plain,
    ( sum(additive_identity,c,multiply(add(multiply(add(a,c),a),a),c))
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f1923]) ).

fof(f9071,plain,
    ( spl0_236
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9066,f7178,f9068]) ).

fof(f9066,plain,
    ( product(multiply(add(a,c),a),add(c,multiply(add(a,c),a)),multiply(add(a,c),a))
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9036,f695]) ).

fof(f9036,plain,
    ( product(multiply(add(a,c),a),add(multiply(add(a,c),a),c),multiply(add(a,c),a))
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f1352]) ).

fof(f9065,plain,
    ( spl0_235
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f9060,f7178,f9062]) ).

fof(f9062,plain,
    ( spl0_235
  <=> sum(additive_identity,c,multiply(add(c,multiply(add(a,c),a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f9060,plain,
    ( sum(additive_identity,c,multiply(add(c,multiply(add(a,c),a)),c))
    | ~ spl0_150 ),
    inference(forward_demodulation,[],[f9054,f695]) ).

fof(f9054,plain,
    ( sum(additive_identity,c,multiply(add(multiply(add(a,c),a),c),c))
    | ~ spl0_150 ),
    inference(resolution,[],[f7180,f1335]) ).

fof(f8929,plain,
    ( spl0_234
    | ~ spl0_229
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f8924,f8920,f8900,f8926]) ).

fof(f8900,plain,
    ( spl0_229
  <=> product(multiply(b,multiply(c,a)),multiply(c,a),multiply(b,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f8924,plain,
    ( product(multiply(b,a),multiply(c,a),multiply(b,a))
    | ~ spl0_229
    | ~ spl0_233 ),
    inference(forward_demodulation,[],[f8902,f8922]) ).

fof(f8902,plain,
    ( product(multiply(b,multiply(c,a)),multiply(c,a),multiply(b,a))
    | ~ spl0_229 ),
    inference(avatar_component_clause,[],[f8900]) ).

fof(f8923,plain,
    ( spl0_233
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8878,f8226,f8920]) ).

fof(f8878,plain,
    ( multiply(b,multiply(c,a)) = multiply(b,a)
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f419]) ).

fof(f8918,plain,
    ( spl0_232
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8862,f8226,f8915]) ).

fof(f8862,plain,
    ( product(multiply(b,c),a,multiply(b,a))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f2076]) ).

fof(f8913,plain,
    ( spl0_231
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8879,f8226,f8910]) ).

fof(f8879,plain,
    ( sum(multiply(b,a),multiply(c,a),multiply(add(b,multiply(c,a)),multiply(c,a)))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f1335]) ).

fof(f8908,plain,
    ( spl0_230
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8883,f8226,f8905]) ).

fof(f8905,plain,
    ( spl0_230
  <=> product(b,multiply(c,a),multiply(multiply(b,a),multiply(c,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f8883,plain,
    ( product(b,multiply(c,a),multiply(multiply(b,a),multiply(c,a)))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f2057]) ).

fof(f2057,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X0,X1,multiply(X2,X1)) ),
    inference(resolution,[],[f88,f20]) ).

fof(f8903,plain,
    ( spl0_229
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8876,f8226,f8900]) ).

fof(f8876,plain,
    ( product(multiply(b,multiply(c,a)),multiply(c,a),multiply(b,a))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f94]) ).

fof(f8898,plain,
    ( spl0_228
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8897,f8226,f8893]) ).

fof(f8897,plain,
    ( product(b,add(b,multiply(c,a)),add(b,multiply(b,a)))
    | ~ spl0_202 ),
    inference(forward_demodulation,[],[f8881,f695]) ).

fof(f8881,plain,
    ( product(b,add(b,multiply(c,a)),add(multiply(b,a),b))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f1358]) ).

fof(f8896,plain,
    ( spl0_228
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8880,f8226,f8893]) ).

fof(f8880,plain,
    ( product(b,add(b,multiply(c,a)),add(b,multiply(b,a)))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f1357]) ).

fof(f8890,plain,
    ( spl0_227
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f8885,f8226,f8887]) ).

fof(f8885,plain,
    ( sum(multiply(b,a),b,multiply(b,add(b,multiply(c,a))))
    | ~ spl0_202 ),
    inference(forward_demodulation,[],[f8882,f695]) ).

fof(f8882,plain,
    ( sum(multiply(b,a),b,multiply(b,add(multiply(c,a),b)))
    | ~ spl0_202 ),
    inference(resolution,[],[f8228,f1360]) ).

fof(f8841,plain,
    ( spl0_226
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f8795,f6748,f8838]) ).

fof(f8838,plain,
    ( spl0_226
  <=> product(add(b,c),additive_identity,multiply(add(b,c),a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f6748,plain,
    ( spl0_125
  <=> product(a,add(b,c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f8795,plain,
    ( product(add(b,c),additive_identity,multiply(add(b,c),a))
    | ~ spl0_125 ),
    inference(resolution,[],[f8048,f93]) ).

fof(f8048,plain,
    ( ! [X29] : product(a,multiply(add(b,c),X29),additive_identity)
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f8033,f658]) ).

fof(f8033,plain,
    ( ! [X29] : product(a,multiply(add(b,c),X29),multiply(additive_identity,X29))
    | ~ spl0_125 ),
    inference(resolution,[],[f2058,f6750]) ).

fof(f6750,plain,
    ( product(a,add(b,c),additive_identity)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f6748]) ).

fof(f8781,plain,
    ( spl0_225
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f8745,f4973,f8778]) ).

fof(f8778,plain,
    ( spl0_225
  <=> product(add(b,c),additive_identity,multiply(add(b,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f4973,plain,
    ( spl0_89
  <=> product(c,add(b,c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f8745,plain,
    ( product(add(b,c),additive_identity,multiply(add(b,c),c))
    | ~ spl0_89 ),
    inference(resolution,[],[f8043,f93]) ).

fof(f8043,plain,
    ( ! [X35] : product(c,multiply(add(b,c),X35),additive_identity)
    | ~ spl0_89 ),
    inference(forward_demodulation,[],[f8039,f658]) ).

fof(f8039,plain,
    ( ! [X35] : product(c,multiply(add(b,c),X35),multiply(additive_identity,X35))
    | ~ spl0_89 ),
    inference(resolution,[],[f2058,f4975]) ).

fof(f4975,plain,
    ( product(c,add(b,c),additive_identity)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f4973]) ).

fof(f8728,plain,
    ( spl0_219
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8727,f7530,f29,f8691]) ).

fof(f8691,plain,
    ( spl0_219
  <=> product(a,add(b,add(c,add(a,b))),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f7530,plain,
    ( spl0_170
  <=> product(a,add(c,add(a,b)),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f8727,plain,
    ( product(a,add(b,add(c,add(a,b))),add(a,c))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8653,f695]) ).

fof(f8653,plain,
    ( product(a,add(b,add(c,add(a,b))),add(c,a))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1648]) ).

fof(f7532,plain,
    ( product(a,add(c,add(a,b)),a)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f7530]) ).

fof(f8723,plain,
    ( spl0_224
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8673,f7530,f8720]) ).

fof(f8720,plain,
    ( spl0_224
  <=> sum(a,add(c,add(a,b)),multiply(add(a,add(c,add(a,b))),add(c,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f8673,plain,
    ( sum(a,add(c,add(a,b)),multiply(add(a,add(c,add(a,b))),add(c,add(a,b))))
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1335]) ).

fof(f8718,plain,
    ( spl0_223
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8713,f7530,f29,f8715]) ).

fof(f8715,plain,
    ( spl0_223
  <=> sum(a,c,multiply(a,add(b,add(c,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f8713,plain,
    ( sum(a,c,multiply(a,add(b,add(c,add(a,b)))))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8654,f695]) ).

fof(f8654,plain,
    ( sum(a,c,multiply(a,add(add(c,add(a,b)),b)))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1386]) ).

fof(f8712,plain,
    ( spl0_222
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8670,f7530,f8709]) ).

fof(f8709,plain,
    ( spl0_222
  <=> product(multiply(a,add(c,add(a,b))),add(c,add(a,b)),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f8670,plain,
    ( product(multiply(a,add(c,add(a,b))),add(c,add(a,b)),a)
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f94]) ).

fof(f8707,plain,
    ( spl0_221
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8702,f7530,f8704]) ).

fof(f8704,plain,
    ( spl0_221
  <=> sum(a,a,multiply(a,add(a,add(c,add(a,b))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f8702,plain,
    ( sum(a,a,multiply(a,add(a,add(c,add(a,b)))))
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8676,f695]) ).

fof(f8676,plain,
    ( sum(a,a,multiply(a,add(add(c,add(a,b)),a)))
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1360]) ).

fof(f8701,plain,
    ( spl0_218
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8700,f7530,f8682]) ).

fof(f8682,plain,
    ( spl0_218
  <=> product(a,add(a,add(c,add(a,b))),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f8700,plain,
    ( product(a,add(a,add(c,add(a,b))),additive_identity)
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8674,f4868]) ).

fof(f8674,plain,
    ( product(a,add(a,add(c,add(a,b))),add(a,a))
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1357]) ).

fof(f8699,plain,
    ( spl0_220
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8672,f7530,f8696]) ).

fof(f8696,plain,
    ( spl0_220
  <=> a = multiply(a,add(c,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f8672,plain,
    ( a = multiply(a,add(c,add(a,b)))
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f419]) ).

fof(f8694,plain,
    ( spl0_219
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8689,f7530,f29,f8691]) ).

fof(f8689,plain,
    ( product(a,add(b,add(c,add(a,b))),add(a,c))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8688,f695]) ).

fof(f8688,plain,
    ( product(a,add(add(c,add(a,b)),b),add(a,c))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8652,f695]) ).

fof(f8652,plain,
    ( product(a,add(add(c,add(a,b)),b),add(c,a))
    | ~ spl0_2
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1649]) ).

fof(f8685,plain,
    ( spl0_218
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8680,f7530,f8682]) ).

fof(f8680,plain,
    ( product(a,add(a,add(c,add(a,b))),additive_identity)
    | ~ spl0_170 ),
    inference(forward_demodulation,[],[f8675,f4868]) ).

fof(f8675,plain,
    ( product(a,add(a,add(c,add(a,b))),add(a,a))
    | ~ spl0_170 ),
    inference(resolution,[],[f7532,f1358]) ).

fof(f8625,plain,
    ( spl0_217
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8570,f7469,f8622]) ).

fof(f8622,plain,
    ( spl0_217
  <=> sum(a,add(b,add(a,c)),multiply(add(a,add(b,add(a,c))),add(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f7469,plain,
    ( spl0_166
  <=> product(a,add(b,add(a,c)),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f8570,plain,
    ( sum(a,add(b,add(a,c)),multiply(add(a,add(b,add(a,c))),add(b,add(a,c))))
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1335]) ).

fof(f7471,plain,
    ( product(a,add(b,add(a,c)),a)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f7469]) ).

fof(f8618,plain,
    ( spl0_213
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8617,f7469,f144,f8588]) ).

fof(f8588,plain,
    ( spl0_213
  <=> product(a,add(c,add(b,add(a,c))),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f8617,plain,
    ( product(a,add(c,add(b,add(a,c))),add(a,c))
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(forward_demodulation,[],[f8547,f695]) ).

fof(f8547,plain,
    ( product(a,add(c,add(b,add(a,c))),add(c,a))
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1786]) ).

fof(f8616,plain,
    ( spl0_216
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8567,f7469,f8613]) ).

fof(f8613,plain,
    ( spl0_216
  <=> product(multiply(a,add(b,add(a,c))),add(b,add(a,c)),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f8567,plain,
    ( product(multiply(a,add(b,add(a,c))),add(b,add(a,c)),a)
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f94]) ).

fof(f8611,plain,
    ( spl0_215
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8606,f7469,f8608]) ).

fof(f8608,plain,
    ( spl0_215
  <=> sum(a,a,multiply(a,add(a,add(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f8606,plain,
    ( sum(a,a,multiply(a,add(a,add(b,add(a,c)))))
    | ~ spl0_166 ),
    inference(forward_demodulation,[],[f8573,f695]) ).

fof(f8573,plain,
    ( sum(a,a,multiply(a,add(add(b,add(a,c)),a)))
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1360]) ).

fof(f8605,plain,
    ( spl0_211
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8604,f7469,f8578]) ).

fof(f8578,plain,
    ( spl0_211
  <=> product(a,add(a,add(b,add(a,c))),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f8604,plain,
    ( product(a,add(a,add(b,add(a,c))),additive_identity)
    | ~ spl0_166 ),
    inference(forward_demodulation,[],[f8571,f4868]) ).

fof(f8571,plain,
    ( product(a,add(a,add(b,add(a,c))),add(a,a))
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1357]) ).

fof(f8597,plain,
    ( spl0_214
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8592,f7469,f144,f8594]) ).

fof(f8594,plain,
    ( spl0_214
  <=> sum(a,c,multiply(a,add(c,add(b,add(a,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f8592,plain,
    ( sum(a,c,multiply(a,add(c,add(b,add(a,c)))))
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(forward_demodulation,[],[f8548,f695]) ).

fof(f8548,plain,
    ( sum(a,c,multiply(a,add(add(b,add(a,c)),c)))
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1714]) ).

fof(f8591,plain,
    ( spl0_213
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8546,f7469,f144,f8588]) ).

fof(f8546,plain,
    ( product(a,add(c,add(b,add(a,c))),add(a,c))
    | ~ spl0_5
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1787]) ).

fof(f8586,plain,
    ( spl0_212
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8569,f7469,f8583]) ).

fof(f8583,plain,
    ( spl0_212
  <=> a = multiply(a,add(b,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f8569,plain,
    ( a = multiply(a,add(b,add(a,c)))
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f419]) ).

fof(f8581,plain,
    ( spl0_211
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f8576,f7469,f8578]) ).

fof(f8576,plain,
    ( product(a,add(a,add(b,add(a,c))),additive_identity)
    | ~ spl0_166 ),
    inference(forward_demodulation,[],[f8572,f4868]) ).

fof(f8572,plain,
    ( product(a,add(a,add(b,add(a,c))),add(a,a))
    | ~ spl0_166 ),
    inference(resolution,[],[f7471,f1358]) ).

fof(f8519,plain,
    ( spl0_210
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8460,f6788,f8516]) ).

fof(f8516,plain,
    ( spl0_210
  <=> product(multiply(a,add(a,add(b,c))),add(a,add(b,c)),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f6788,plain,
    ( spl0_126
  <=> product(a,add(a,add(b,c)),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f8460,plain,
    ( product(multiply(a,add(a,add(b,c))),add(a,add(b,c)),a)
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f94]) ).

fof(f6790,plain,
    ( product(a,add(a,add(b,c)),a)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f6788]) ).

fof(f8514,plain,
    ( spl0_205
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8513,f6788,f29,f8476]) ).

fof(f8476,plain,
    ( spl0_205
  <=> product(a,add(b,add(a,add(b,c))),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f8513,plain,
    ( product(a,add(b,add(a,add(b,c))),add(a,c))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8512,f695]) ).

fof(f8512,plain,
    ( product(a,add(add(a,add(b,c)),b),add(a,c))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8442,f695]) ).

fof(f8442,plain,
    ( product(a,add(add(a,add(b,c)),b),add(c,a))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1649]) ).

fof(f8511,plain,
    ( spl0_209
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8506,f6788,f144,f8508]) ).

fof(f8508,plain,
    ( spl0_209
  <=> sum(a,c,multiply(a,add(c,add(a,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f8506,plain,
    ( sum(a,c,multiply(a,add(c,add(a,add(b,c)))))
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8441,f695]) ).

fof(f8441,plain,
    ( sum(a,c,multiply(a,add(add(a,add(b,c)),c)))
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1714]) ).

fof(f8505,plain,
    ( spl0_208
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8500,f6788,f29,f8502]) ).

fof(f8502,plain,
    ( spl0_208
  <=> sum(a,c,multiply(a,add(b,add(a,add(b,c))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f8500,plain,
    ( sum(a,c,multiply(a,add(b,add(a,add(b,c)))))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8444,f695]) ).

fof(f8444,plain,
    ( sum(a,c,multiply(a,add(add(a,add(b,c)),b)))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1386]) ).

fof(f8499,plain,
    ( spl0_207
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8494,f6788,f8496]) ).

fof(f8496,plain,
    ( spl0_207
  <=> sum(a,add(a,add(b,c)),multiply(add(b,c),add(a,add(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f8494,plain,
    ( sum(a,add(a,add(b,c)),multiply(add(b,c),add(a,add(b,c))))
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8463,f5139]) ).

fof(f8463,plain,
    ( sum(a,add(a,add(b,c)),multiply(add(a,add(a,add(b,c))),add(a,add(b,c))))
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1335]) ).

fof(f8488,plain,
    ( spl0_204
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8487,f6788,f144,f8470]) ).

fof(f8470,plain,
    ( spl0_204
  <=> product(a,add(c,add(a,add(b,c))),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f8487,plain,
    ( product(a,add(c,add(a,add(b,c))),add(a,c))
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8440,f695]) ).

fof(f8440,plain,
    ( product(a,add(c,add(a,add(b,c))),add(c,a))
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1786]) ).

fof(f8486,plain,
    ( spl0_206
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8462,f6788,f8483]) ).

fof(f8483,plain,
    ( spl0_206
  <=> a = multiply(a,add(a,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f8462,plain,
    ( a = multiply(a,add(a,add(b,c)))
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f419]) ).

fof(f8479,plain,
    ( spl0_205
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8474,f6788,f29,f8476]) ).

fof(f8474,plain,
    ( product(a,add(b,add(a,add(b,c))),add(a,c))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(forward_demodulation,[],[f8443,f695]) ).

fof(f8443,plain,
    ( product(a,add(b,add(a,add(b,c))),add(c,a))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1648]) ).

fof(f8473,plain,
    ( spl0_204
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8439,f6788,f144,f8470]) ).

fof(f8439,plain,
    ( product(a,add(c,add(a,add(b,c))),add(a,c))
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(resolution,[],[f6790,f1787]) ).

fof(f8336,plain,
    ( spl0_203
    | ~ spl0_6
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f8328,f4992,f151,f8333]) ).

fof(f4992,plain,
    ( spl0_90
  <=> additive_identity = multiply(c,add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f8328,plain,
    ( product(c,multiply(b,add(b,c)),additive_identity)
    | ~ spl0_6
    | ~ spl0_90 ),
    inference(superposition,[],[f8042,f4994]) ).

fof(f4994,plain,
    ( additive_identity = multiply(c,add(b,c))
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f4992]) ).

fof(f8229,plain,
    ( spl0_202
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f8184,f29,f8226]) ).

fof(f8184,plain,
    ( product(b,multiply(c,a),multiply(b,a))
    | ~ spl0_2 ),
    inference(resolution,[],[f8030,f93]) ).

fof(f8223,plain,
    ( spl0_201
    | ~ spl0_2
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f8212,f4992,f29,f8220]) ).

fof(f8212,plain,
    ( product(a,multiply(b,add(b,c)),additive_identity)
    | ~ spl0_2
    | ~ spl0_90 ),
    inference(superposition,[],[f8030,f4994]) ).

fof(f8006,plain,
    ( spl0_198
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7930,f6946,f7980]) ).

fof(f7930,plain,
    ( product(a,add(a,add(c,multiply(b,c))),a)
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1352]) ).

fof(f8001,plain,
    ( spl0_198
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f8000,f6946,f7980]) ).

fof(f8000,plain,
    ( product(a,add(a,add(c,multiply(b,c))),a)
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7950,f634]) ).

fof(f7950,plain,
    ( product(a,add(a,add(c,multiply(b,c))),add(additive_identity,a))
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1358]) ).

fof(f7999,plain,
    ( spl0_200
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7948,f6946,f7996]) ).

fof(f7948,plain,
    ( sum(additive_identity,add(c,multiply(b,c)),multiply(add(a,add(c,multiply(b,c))),add(c,multiply(b,c))))
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1335]) ).

fof(f7994,plain,
    ( spl0_199
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7989,f6946,f7991]) ).

fof(f7989,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(c,multiply(b,c)))))
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7951,f695]) ).

fof(f7951,plain,
    ( sum(additive_identity,a,multiply(a,add(add(c,multiply(b,c)),a)))
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1360]) ).

fof(f7986,plain,
    ( spl0_197
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7985,f6946,f29,f7971]) ).

fof(f7985,plain,
    ( product(a,add(b,add(c,multiply(b,c))),c)
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7984,f695]) ).

fof(f7984,plain,
    ( product(a,add(add(c,multiply(b,c)),b),c)
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7927,f635]) ).

fof(f7927,plain,
    ( product(a,add(add(c,multiply(b,c)),b),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1649]) ).

fof(f7983,plain,
    ( spl0_198
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7978,f6946,f7980]) ).

fof(f7978,plain,
    ( product(a,add(a,add(c,multiply(b,c))),a)
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7949,f635]) ).

fof(f7949,plain,
    ( product(a,add(a,add(c,multiply(b,c))),add(a,additive_identity))
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1357]) ).

fof(f7974,plain,
    ( spl0_197
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7969,f6946,f29,f7971]) ).

fof(f7969,plain,
    ( product(a,add(b,add(c,multiply(b,c))),c)
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7928,f635]) ).

fof(f7928,plain,
    ( product(a,add(b,add(c,multiply(b,c))),add(c,additive_identity))
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1648]) ).

fof(f7968,plain,
    ( spl0_196
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7963,f6946,f29,f7965]) ).

fof(f7963,plain,
    ( sum(additive_identity,c,multiply(a,add(b,add(c,multiply(b,c)))))
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(forward_demodulation,[],[f7929,f695]) ).

fof(f7929,plain,
    ( sum(additive_identity,c,multiply(a,add(add(c,multiply(b,c)),b)))
    | ~ spl0_2
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f1386]) ).

fof(f7962,plain,
    ( spl0_195
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7945,f6946,f7959]) ).

fof(f7959,plain,
    ( spl0_195
  <=> product(multiply(a,add(c,multiply(b,c))),add(c,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f7945,plain,
    ( product(multiply(a,add(c,multiply(b,c))),add(c,multiply(b,c)),additive_identity)
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f94]) ).

fof(f7957,plain,
    ( spl0_194
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f7947,f6946,f7954]) ).

fof(f7947,plain,
    ( additive_identity = multiply(a,add(c,multiply(b,c)))
    | ~ spl0_136 ),
    inference(resolution,[],[f6948,f419]) ).

fof(f7921,plain,
    ( spl0_192
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f7920,f7855,f7906]) ).

fof(f7906,plain,
    ( spl0_192
  <=> product(add(a,c),add(b,add(a,c)),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f7920,plain,
    ( product(add(a,c),add(b,add(a,c)),add(a,c))
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f7919,f695]) ).

fof(f7919,plain,
    ( product(add(a,c),add(add(a,c),b),add(a,c))
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f7886,f634]) ).

fof(f7886,plain,
    ( product(add(a,c),add(add(a,c),b),add(additive_identity,add(a,c)))
    | ~ spl0_190 ),
    inference(resolution,[],[f7857,f1358]) ).

fof(f7918,plain,
    ( spl0_193
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f7887,f7855,f7915]) ).

fof(f7915,plain,
    ( spl0_193
  <=> sum(additive_identity,add(a,c),multiply(add(a,c),add(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f7887,plain,
    ( sum(additive_identity,add(a,c),multiply(add(a,c),add(b,add(a,c))))
    | ~ spl0_190 ),
    inference(resolution,[],[f7857,f1360]) ).

fof(f7912,plain,
    ( spl0_192
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f7911,f7855,f7906]) ).

fof(f7911,plain,
    ( product(add(a,c),add(b,add(a,c)),add(a,c))
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f7910,f695]) ).

fof(f7910,plain,
    ( product(add(a,c),add(add(a,c),b),add(a,c))
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f7885,f635]) ).

fof(f7885,plain,
    ( product(add(a,c),add(add(a,c),b),add(add(a,c),additive_identity))
    | ~ spl0_190 ),
    inference(resolution,[],[f7857,f1357]) ).

fof(f7909,plain,
    ( spl0_192
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f7904,f7855,f7906]) ).

fof(f7904,plain,
    ( product(add(a,c),add(b,add(a,c)),add(a,c))
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f7866,f695]) ).

fof(f7866,plain,
    ( product(add(a,c),add(add(a,c),b),add(a,c))
    | ~ spl0_190 ),
    inference(resolution,[],[f7857,f1352]) ).

fof(f7897,plain,
    ( spl0_191
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f7892,f7855,f7894]) ).

fof(f7894,plain,
    ( spl0_191
  <=> sum(additive_identity,b,multiply(add(b,add(a,c)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f7892,plain,
    ( sum(additive_identity,b,multiply(add(b,add(a,c)),b))
    | ~ spl0_190 ),
    inference(forward_demodulation,[],[f7884,f695]) ).

fof(f7884,plain,
    ( sum(additive_identity,b,multiply(add(add(a,c),b),b))
    | ~ spl0_190 ),
    inference(resolution,[],[f7857,f1335]) ).

fof(f7858,plain,
    ( spl0_190
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f7847,f7713,f7855]) ).

fof(f7713,plain,
    ( spl0_184
  <=> additive_identity = multiply(add(a,c),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f7847,plain,
    ( product(add(a,c),b,additive_identity)
    | ~ spl0_184 ),
    inference(superposition,[],[f3,f7715]) ).

fof(f7715,plain,
    ( additive_identity = multiply(add(a,c),b)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f7713]) ).

fof(f7785,plain,
    ( spl0_189
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f7780,f178,f151,f7782]) ).

fof(f7782,plain,
    ( spl0_189
  <=> sum(c,c,multiply(add(c,multiply(c,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f178,plain,
    ( spl0_8
  <=> product(multiply(c,a),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f7780,plain,
    ( sum(c,c,multiply(add(c,multiply(c,a)),b))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f7771,f695]) ).

fof(f7771,plain,
    ( sum(c,c,multiply(add(multiply(c,a),c),b))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(resolution,[],[f2002,f180]) ).

fof(f180,plain,
    ( product(multiply(c,a),b,c)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f7743,plain,
    ( spl0_188
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7680,f6876,f7740]) ).

fof(f7740,plain,
    ( spl0_188
  <=> product(c,additive_identity,multiply(add(a,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f6876,plain,
    ( spl0_133
  <=> sum(c,c,multiply(add(a,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f7680,plain,
    ( product(c,additive_identity,multiply(add(a,c),b))
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f4773]) ).

fof(f4773,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X0,X1)
      | product(X0,additive_identity,X1) ),
    inference(backward_demodulation,[],[f1229,f4771]) ).

fof(f1229,plain,
    ! [X0,X1] :
      ( product(X0,additive_identity,X1)
      | ~ sum(X0,multiply(X0,additive_inverse(X0)),X1) ),
    inference(resolution,[],[f83,f3]) ).

fof(f83,plain,
    ! [X3,X4,X5] :
      ( ~ product(X3,additive_inverse(X3),X5)
      | product(X3,additive_identity,X4)
      | ~ sum(X3,X5,X4) ),
    inference(resolution,[],[f6,f39]) ).

fof(f6878,plain,
    ( sum(c,c,multiply(add(a,c),b))
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f6876]) ).

fof(f7738,plain,
    ( spl0_182
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7698,f6876,f7702]) ).

fof(f7702,plain,
    ( spl0_182
  <=> sum(c,additive_identity,add(c,multiply(add(a,c),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f7698,plain,
    ( sum(c,additive_identity,add(c,multiply(add(a,c),b)))
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f5104]) ).

fof(f7737,plain,
    ( spl0_183
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7736,f6876,f7708]) ).

fof(f7708,plain,
    ( spl0_183
  <=> sum(multiply(add(a,c),b),additive_identity,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f7736,plain,
    ( sum(multiply(add(a,c),b),additive_identity,additive_identity)
    | ~ spl0_133 ),
    inference(forward_demodulation,[],[f7695,f4868]) ).

fof(f7695,plain,
    ( sum(multiply(add(a,c),b),additive_identity,add(c,c))
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f1212]) ).

fof(f7735,plain,
    ( spl0_184
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7734,f6876,f7713]) ).

fof(f7734,plain,
    ( additive_identity = multiply(add(a,c),b)
    | ~ spl0_133 ),
    inference(forward_demodulation,[],[f7693,f4868]) ).

fof(f7693,plain,
    ( multiply(add(a,c),b) = add(c,c)
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f406]) ).

fof(f7733,plain,
    ( spl0_184
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7732,f6876,f7713]) ).

fof(f7732,plain,
    ( additive_identity = multiply(add(a,c),b)
    | ~ spl0_133 ),
    inference(forward_demodulation,[],[f7694,f4868]) ).

fof(f7694,plain,
    ( multiply(add(a,c),b) = add(c,c)
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f407]) ).

fof(f7731,plain,
    ( spl0_187
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7699,f6876,f7728]) ).

fof(f7728,plain,
    ( spl0_187
  <=> sum(multiply(add(a,c),b),c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f7699,plain,
    ( sum(multiply(add(a,c),b),c,c)
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f5106]) ).

fof(f7726,plain,
    ( spl0_186
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7671,f6876,f517,f144,f7723]) ).

fof(f7723,plain,
    ( spl0_186
  <=> product(a,additive_identity,multiply(add(a,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f517,plain,
    ( spl0_18
  <=> c = multiply(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f7671,plain,
    ( product(a,additive_identity,multiply(add(a,c),b))
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f5768]) ).

fof(f5768,plain,
    ( ! [X0] :
        ( ~ sum(c,c,X0)
        | product(a,additive_identity,X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f5485,f519]) ).

fof(f519,plain,
    ( c = multiply(a,c)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f5485,plain,
    ( ! [X0] :
        ( product(a,additive_identity,X0)
        | ~ sum(c,multiply(a,c),X0) )
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f1233,f5077]) ).

fof(f1233,plain,
    ( ! [X0] :
        ( product(a,additive_identity,X0)
        | ~ sum(c,multiply(a,additive_inverse(c)),X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f379,f3]) ).

fof(f379,plain,
    ( ! [X2,X3] :
        ( ~ product(a,additive_inverse(c),X2)
        | product(a,additive_identity,X3)
        | ~ sum(c,X2,X3) )
    | ~ spl0_5 ),
    inference(resolution,[],[f164,f6]) ).

fof(f7721,plain,
    ( spl0_185
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7679,f6876,f7718]) ).

fof(f7718,plain,
    ( spl0_185
  <=> sum(additive_identity,additive_identity,multiply(add(a,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f7679,plain,
    ( sum(additive_identity,additive_identity,multiply(add(a,c),b))
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f5099]) ).

fof(f5099,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X0,X1)
      | sum(additive_identity,additive_identity,X1) ),
    inference(backward_demodulation,[],[f1258,f5077]) ).

fof(f1258,plain,
    ! [X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | sum(additive_identity,additive_identity,X1) ),
    inference(resolution,[],[f116,f1]) ).

fof(f7716,plain,
    ( spl0_184
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7678,f6876,f7713]) ).

fof(f7678,plain,
    ( additive_identity = multiply(add(a,c),b)
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f4860]) ).

fof(f4860,plain,
    ! [X18,X19] :
      ( ~ sum(X18,X18,X19)
      | additive_identity = X19 ),
    inference(resolution,[],[f4848,f16]) ).

fof(f7711,plain,
    ( spl0_183
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7706,f6876,f7708]) ).

fof(f7706,plain,
    ( sum(multiply(add(a,c),b),additive_identity,additive_identity)
    | ~ spl0_133 ),
    inference(forward_demodulation,[],[f7696,f4868]) ).

fof(f7696,plain,
    ( sum(multiply(add(a,c),b),additive_identity,add(c,c))
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f1213]) ).

fof(f7705,plain,
    ( spl0_182
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f7700,f6876,f7702]) ).

fof(f7700,plain,
    ( sum(c,additive_identity,add(c,multiply(add(a,c),b)))
    | ~ spl0_133 ),
    inference(forward_demodulation,[],[f7697,f695]) ).

fof(f7697,plain,
    ( sum(c,additive_identity,add(multiply(add(a,c),b),c))
    | ~ spl0_133 ),
    inference(resolution,[],[f6878,f5103]) ).

fof(f7668,plain,
    ( spl0_176
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7667,f6742,f7628]) ).

fof(f7667,plain,
    ( product(a,add(a,add(b,multiply(b,c))),a)
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f7612,f634]) ).

fof(f7612,plain,
    ( product(a,add(a,add(b,multiply(b,c))),add(additive_identity,a))
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1358]) ).

fof(f7666,plain,
    ( spl0_181
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7607,f6742,f7663]) ).

fof(f7663,plain,
    ( spl0_181
  <=> product(multiply(a,add(b,multiply(b,c))),add(b,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f7607,plain,
    ( product(multiply(a,add(b,multiply(b,c))),add(b,multiply(b,c)),additive_identity)
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f94]) ).

fof(f7661,plain,
    ( spl0_175
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7584,f6742,f144,f7619]) ).

fof(f7584,plain,
    ( product(a,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1784]) ).

fof(f7656,plain,
    ( spl0_180
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7610,f6742,f7653]) ).

fof(f7610,plain,
    ( sum(additive_identity,add(b,multiply(b,c)),multiply(add(a,add(b,multiply(b,c))),add(b,multiply(b,c))))
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1335]) ).

fof(f7651,plain,
    ( spl0_179
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7646,f6742,f7648]) ).

fof(f7646,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(b,multiply(b,c)))))
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f7613,f695]) ).

fof(f7613,plain,
    ( sum(additive_identity,a,multiply(a,add(add(b,multiply(b,c)),a)))
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1360]) ).

fof(f7645,plain,
    ( spl0_178
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7609,f6742,f7642]) ).

fof(f7609,plain,
    ( additive_identity = multiply(a,add(b,multiply(b,c)))
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f419]) ).

fof(f7640,plain,
    ( spl0_175
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7639,f6742,f144,f7619]) ).

fof(f7639,plain,
    ( product(a,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f7586,f634]) ).

fof(f7586,plain,
    ( product(a,add(c,add(b,multiply(b,c))),add(additive_identity,c))
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1787]) ).

fof(f7638,plain,
    ( spl0_176
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7592,f6742,f7628]) ).

fof(f7592,plain,
    ( product(a,add(a,add(b,multiply(b,c))),a)
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1352]) ).

fof(f7637,plain,
    ( spl0_177
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7632,f6742,f144,f7634]) ).

fof(f7632,plain,
    ( sum(additive_identity,c,multiply(a,add(c,add(b,multiply(b,c)))))
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f7588,f695]) ).

fof(f7588,plain,
    ( sum(additive_identity,c,multiply(a,add(add(b,multiply(b,c)),c)))
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1714]) ).

fof(f7631,plain,
    ( spl0_176
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7626,f6742,f7628]) ).

fof(f7626,plain,
    ( product(a,add(a,add(b,multiply(b,c))),a)
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f7611,f635]) ).

fof(f7611,plain,
    ( product(a,add(a,add(b,multiply(b,c))),add(a,additive_identity))
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1357]) ).

fof(f7622,plain,
    ( spl0_175
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f7617,f6742,f144,f7619]) ).

fof(f7617,plain,
    ( product(a,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(forward_demodulation,[],[f7587,f635]) ).

fof(f7587,plain,
    ( product(a,add(c,add(b,multiply(b,c))),add(c,additive_identity))
    | ~ spl0_5
    | ~ spl0_124 ),
    inference(resolution,[],[f6744,f1786]) ).

fof(f7573,plain,
    ( spl0_174
    | ~ spl0_168
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f7568,f7541,f7515,f7570]) ).

fof(f7570,plain,
    ( spl0_174
  <=> product(add(a,c),add(a,b),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f7515,plain,
    ( spl0_168
  <=> multiply(a,add(a,b)) = add(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f7541,plain,
    ( spl0_172
  <=> product(multiply(a,add(a,b)),add(a,b),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f7568,plain,
    ( product(add(a,c),add(a,b),add(a,c))
    | ~ spl0_168
    | ~ spl0_172 ),
    inference(forward_demodulation,[],[f7543,f7517]) ).

fof(f7517,plain,
    ( multiply(a,add(a,b)) = add(a,c)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f7515]) ).

fof(f7543,plain,
    ( product(multiply(a,add(a,b)),add(a,b),add(a,c))
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f7541]) ).

fof(f7557,plain,
    ( spl0_173
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7513,f6520,f7554]) ).

fof(f7554,plain,
    ( spl0_173
  <=> product(a,add(a,b),multiply(add(a,c),add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f6520,plain,
    ( spl0_108
  <=> product(a,add(a,b),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f7513,plain,
    ( product(a,add(a,b),multiply(add(a,c),add(a,b)))
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f2057]) ).

fof(f6522,plain,
    ( product(a,add(a,b),add(a,c))
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f6520]) ).

fof(f7552,plain,
    ( spl0_170
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7551,f6520,f144,f7530]) ).

fof(f7551,plain,
    ( product(a,add(c,add(a,b)),a)
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f7550,f5126]) ).

fof(f7550,plain,
    ( product(a,add(c,add(a,b)),add(c,add(a,c)))
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f7487,f695]) ).

fof(f7487,plain,
    ( product(a,add(c,add(a,b)),add(add(a,c),c))
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f1787]) ).

fof(f7544,plain,
    ( spl0_172
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7506,f6520,f7541]) ).

fof(f7506,plain,
    ( product(multiply(a,add(a,b)),add(a,b),add(a,c))
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f94]) ).

fof(f7539,plain,
    ( spl0_171
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7534,f6520,f7536]) ).

fof(f7536,plain,
    ( spl0_171
  <=> sum(add(a,c),add(a,b),multiply(b,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f7534,plain,
    ( sum(add(a,c),add(a,b),multiply(b,add(a,b)))
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f7509,f5139]) ).

fof(f7509,plain,
    ( sum(add(a,c),add(a,b),multiply(add(a,add(a,b)),add(a,b)))
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f1335]) ).

fof(f7533,plain,
    ( spl0_170
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7528,f6520,f144,f7530]) ).

fof(f7528,plain,
    ( product(a,add(c,add(a,b)),a)
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f7488,f5126]) ).

fof(f7488,plain,
    ( product(a,add(c,add(a,b)),add(c,add(a,c)))
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f1786]) ).

fof(f7524,plain,
    ( spl0_169
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7519,f6520,f144,f7521]) ).

fof(f7521,plain,
    ( spl0_169
  <=> sum(add(a,c),c,multiply(a,add(c,add(a,b)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f7519,plain,
    ( sum(add(a,c),c,multiply(a,add(c,add(a,b))))
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(forward_demodulation,[],[f7489,f695]) ).

fof(f7489,plain,
    ( sum(add(a,c),c,multiply(a,add(add(a,b),c)))
    | ~ spl0_5
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f1714]) ).

fof(f7518,plain,
    ( spl0_168
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f7508,f6520,f7515]) ).

fof(f7508,plain,
    ( multiply(a,add(a,b)) = add(a,c)
    | ~ spl0_108 ),
    inference(resolution,[],[f6522,f419]) ).

fof(f7482,plain,
    ( spl0_167
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f7477,f6514,f29,f7479]) ).

fof(f7479,plain,
    ( spl0_167
  <=> sum(add(a,c),c,multiply(a,add(b,add(a,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f6514,plain,
    ( spl0_107
  <=> product(a,add(a,c),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f7477,plain,
    ( sum(add(a,c),c,multiply(a,add(b,add(a,c))))
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f7417,f695]) ).

fof(f7417,plain,
    ( sum(add(a,c),c,multiply(a,add(add(a,c),b)))
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(resolution,[],[f6516,f1386]) ).

fof(f6516,plain,
    ( product(a,add(a,c),add(a,c))
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f6514]) ).

fof(f7475,plain,
    ( spl0_166
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f7474,f6514,f29,f7469]) ).

fof(f7474,plain,
    ( product(a,add(b,add(a,c)),a)
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f7473,f695]) ).

fof(f7473,plain,
    ( product(a,add(add(a,c),b),a)
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f7415,f5126]) ).

fof(f7415,plain,
    ( product(a,add(add(a,c),b),add(c,add(a,c)))
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(resolution,[],[f6516,f1649]) ).

fof(f7472,plain,
    ( spl0_166
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f7467,f6514,f29,f7469]) ).

fof(f7467,plain,
    ( product(a,add(b,add(a,c)),a)
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f7416,f5126]) ).

fof(f7416,plain,
    ( product(a,add(b,add(a,c)),add(c,add(a,c)))
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(resolution,[],[f6516,f1648]) ).

fof(f7466,plain,
    ( spl0_165
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f7461,f6514,f7463]) ).

fof(f7463,plain,
    ( spl0_165
  <=> sum(add(a,c),add(a,c),multiply(c,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f7461,plain,
    ( sum(add(a,c),add(a,c),multiply(c,add(a,c)))
    | ~ spl0_107 ),
    inference(forward_demodulation,[],[f7434,f5139]) ).

fof(f7434,plain,
    ( sum(add(a,c),add(a,c),multiply(add(a,add(a,c)),add(a,c)))
    | ~ spl0_107 ),
    inference(resolution,[],[f6516,f1335]) ).

fof(f7455,plain,
    ( spl0_164
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f7431,f6514,f7452]) ).

fof(f7452,plain,
    ( spl0_164
  <=> product(multiply(a,add(a,c)),add(a,c),add(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f7431,plain,
    ( product(multiply(a,add(a,c)),add(a,c),add(a,c))
    | ~ spl0_107 ),
    inference(resolution,[],[f6516,f94]) ).

fof(f7446,plain,
    ( spl0_163
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f7433,f6514,f7443]) ).

fof(f7443,plain,
    ( spl0_163
  <=> multiply(a,add(a,c)) = add(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f7433,plain,
    ( multiply(a,add(a,c)) = add(a,c)
    | ~ spl0_107 ),
    inference(resolution,[],[f6516,f419]) ).

fof(f7406,plain,
    ( spl0_162
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f7401,f6498,f7403]) ).

fof(f7401,plain,
    ( sum(additive_identity,add(c,multiply(b,c)),multiply(multiply(b,c),add(c,multiply(b,c))))
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f7372,f5139]) ).

fof(f7372,plain,
    ( sum(additive_identity,add(c,multiply(b,c)),multiply(add(c,add(c,multiply(b,c))),add(c,multiply(b,c))))
    | ~ spl0_105 ),
    inference(resolution,[],[f6500,f1335]) ).

fof(f7400,plain,
    ( spl0_161
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f7369,f6498,f7397]) ).

fof(f7397,plain,
    ( spl0_161
  <=> product(multiply(c,add(c,multiply(b,c))),add(c,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f7369,plain,
    ( product(multiply(c,add(c,multiply(b,c))),add(c,multiply(b,c)),additive_identity)
    | ~ spl0_105 ),
    inference(resolution,[],[f6500,f94]) ).

fof(f7392,plain,
    ( spl0_160
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f7371,f6498,f7389]) ).

fof(f7371,plain,
    ( additive_identity = multiply(c,add(c,multiply(b,c)))
    | ~ spl0_105 ),
    inference(resolution,[],[f6500,f419]) ).

fof(f7382,plain,
    ( spl0_159
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f7377,f6498,f151,f7379]) ).

fof(f7377,plain,
    ( sum(additive_identity,c,multiply(c,add(b,add(c,multiply(b,c)))))
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(forward_demodulation,[],[f7352,f695]) ).

fof(f7352,plain,
    ( sum(additive_identity,c,multiply(c,add(add(c,multiply(b,c)),b)))
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(resolution,[],[f6500,f1928]) ).

fof(f7327,plain,
    ( spl0_156
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7300,f6434,f7310]) ).

fof(f7310,plain,
    ( spl0_156
  <=> sum(c,additive_identity,add(b,multiply(add(a,b),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f6434,plain,
    ( spl0_98
  <=> sum(c,b,multiply(add(a,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f7300,plain,
    ( sum(c,additive_identity,add(b,multiply(add(a,b),b)))
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f5104]) ).

fof(f6436,plain,
    ( sum(c,b,multiply(add(a,b),b))
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f6434]) ).

fof(f7326,plain,
    ( spl0_157
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7325,f6434,f7315]) ).

fof(f7315,plain,
    ( spl0_157
  <=> add(b,c) = multiply(add(a,b),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f7325,plain,
    ( add(b,c) = multiply(add(a,b),b)
    | ~ spl0_98 ),
    inference(forward_demodulation,[],[f7295,f695]) ).

fof(f7295,plain,
    ( multiply(add(a,b),b) = add(c,b)
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f406]) ).

fof(f7324,plain,
    ( spl0_158
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7301,f6434,f7321]) ).

fof(f7321,plain,
    ( spl0_158
  <=> sum(multiply(add(a,b),b),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f7301,plain,
    ( sum(multiply(add(a,b),b),b,c)
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f5106]) ).

fof(f7319,plain,
    ( spl0_155
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7298,f6434,f7304]) ).

fof(f7304,plain,
    ( spl0_155
  <=> sum(multiply(add(a,b),b),additive_identity,add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f7298,plain,
    ( sum(multiply(add(a,b),b),additive_identity,add(b,c))
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f1213]) ).

fof(f7318,plain,
    ( spl0_157
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7296,f6434,f7315]) ).

fof(f7296,plain,
    ( add(b,c) = multiply(add(a,b),b)
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f407]) ).

fof(f7313,plain,
    ( spl0_156
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7308,f6434,f7310]) ).

fof(f7308,plain,
    ( sum(c,additive_identity,add(b,multiply(add(a,b),b)))
    | ~ spl0_98 ),
    inference(forward_demodulation,[],[f7299,f695]) ).

fof(f7299,plain,
    ( sum(c,additive_identity,add(multiply(add(a,b),b),b))
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f5103]) ).

fof(f7307,plain,
    ( spl0_155
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f7302,f6434,f7304]) ).

fof(f7302,plain,
    ( sum(multiply(add(a,b),b),additive_identity,add(b,c))
    | ~ spl0_98 ),
    inference(forward_demodulation,[],[f7297,f695]) ).

fof(f7297,plain,
    ( sum(multiply(add(a,b),b),additive_identity,add(c,b))
    | ~ spl0_98 ),
    inference(resolution,[],[f6436,f1212]) ).

fof(f7252,plain,
    ( spl0_154
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f7247,f7184,f7249]) ).

fof(f7249,plain,
    ( spl0_154
  <=> sum(additive_identity,add(a,c),multiply(add(a,c),a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f7247,plain,
    ( sum(additive_identity,add(a,c),multiply(add(a,c),a))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7221,f5126]) ).

fof(f7221,plain,
    ( sum(additive_identity,add(a,c),multiply(add(a,c),add(c,add(a,c))))
    | ~ spl0_151 ),
    inference(resolution,[],[f7186,f1360]) ).

fof(f7246,plain,
    ( spl0_153
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f7245,f7184,f7230]) ).

fof(f7245,plain,
    ( product(add(a,c),a,add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7244,f5126]) ).

fof(f7244,plain,
    ( product(add(a,c),add(c,add(a,c)),add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7243,f695]) ).

fof(f7243,plain,
    ( product(add(a,c),add(add(a,c),c),add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7220,f634]) ).

fof(f7220,plain,
    ( product(add(a,c),add(add(a,c),c),add(additive_identity,add(a,c)))
    | ~ spl0_151 ),
    inference(resolution,[],[f7186,f1358]) ).

fof(f7236,plain,
    ( spl0_153
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f7235,f7184,f7230]) ).

fof(f7235,plain,
    ( product(add(a,c),a,add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7234,f5126]) ).

fof(f7234,plain,
    ( product(add(a,c),add(c,add(a,c)),add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7200,f695]) ).

fof(f7200,plain,
    ( product(add(a,c),add(add(a,c),c),add(a,c))
    | ~ spl0_151 ),
    inference(resolution,[],[f7186,f1352]) ).

fof(f7233,plain,
    ( spl0_153
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f7228,f7184,f7230]) ).

fof(f7228,plain,
    ( product(add(a,c),a,add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7227,f5126]) ).

fof(f7227,plain,
    ( product(add(a,c),add(c,add(a,c)),add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7226,f695]) ).

fof(f7226,plain,
    ( product(add(a,c),add(add(a,c),c),add(a,c))
    | ~ spl0_151 ),
    inference(forward_demodulation,[],[f7219,f635]) ).

fof(f7219,plain,
    ( product(add(a,c),add(add(a,c),c),add(add(a,c),additive_identity))
    | ~ spl0_151 ),
    inference(resolution,[],[f7186,f1357]) ).

fof(f7192,plain,
    ( spl0_152
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f7169,f7071,f29,f7189]) ).

fof(f7071,plain,
    ( spl0_144
  <=> additive_identity = multiply(add(a,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f7169,plain,
    ( product(multiply(add(a,c),a),b,additive_identity)
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(superposition,[],[f740,f7073]) ).

fof(f7073,plain,
    ( additive_identity = multiply(add(a,c),c)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f7071]) ).

fof(f740,plain,
    ( ! [X0] : product(multiply(X0,a),b,multiply(X0,c))
    | ~ spl0_2 ),
    inference(resolution,[],[f95,f3]) ).

fof(f95,plain,
    ( ! [X34,X35] :
        ( ~ product(X34,a,X35)
        | product(X35,b,multiply(X34,c)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f3,f36]) ).

fof(f36,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(X4,c,X6)
        | ~ product(X4,a,X5)
        | product(X5,b,X6) )
    | ~ spl0_2 ),
    inference(resolution,[],[f11,f31]) ).

fof(f7187,plain,
    ( spl0_151
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f7170,f7071,f7184]) ).

fof(f7170,plain,
    ( product(add(a,c),c,additive_identity)
    | ~ spl0_144 ),
    inference(superposition,[],[f3,f7073]) ).

fof(f7181,plain,
    ( spl0_150
    | ~ spl0_5
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f7168,f7071,f144,f7178]) ).

fof(f7168,plain,
    ( product(multiply(add(a,c),a),c,additive_identity)
    | ~ spl0_5
    | ~ spl0_144 ),
    inference(superposition,[],[f745,f7073]) ).

fof(f7162,plain,
    ( spl0_149
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f7157,f751,f144,f7159]) ).

fof(f7159,plain,
    ( spl0_149
  <=> sum(c,c,multiply(add(a,multiply(c,a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f751,plain,
    ( spl0_25
  <=> product(multiply(c,a),c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f7157,plain,
    ( sum(c,c,multiply(add(a,multiply(c,a)),c))
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f7148,f695]) ).

fof(f7148,plain,
    ( sum(c,c,multiply(add(multiply(c,a),a),c))
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(resolution,[],[f1923,f753]) ).

fof(f753,plain,
    ( product(multiply(c,a),c,c)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f7101,plain,
    ( spl0_148
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7037,f6416,f7098]) ).

fof(f7098,plain,
    ( spl0_148
  <=> sum(additive_identity,additive_identity,multiply(add(a,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f6416,plain,
    ( spl0_95
  <=> sum(c,c,multiply(add(a,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f7037,plain,
    ( sum(additive_identity,additive_identity,multiply(add(a,c),c))
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f5099]) ).

fof(f6418,plain,
    ( sum(c,c,multiply(add(a,c),c))
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f6416]) ).

fof(f7096,plain,
    ( spl0_145
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7056,f6416,f7079]) ).

fof(f7079,plain,
    ( spl0_145
  <=> sum(c,additive_identity,add(c,multiply(add(a,c),c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f7056,plain,
    ( sum(c,additive_identity,add(c,multiply(add(a,c),c)))
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f5104]) ).

fof(f7095,plain,
    ( spl0_147
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7029,f6416,f517,f144,f7092]) ).

fof(f7092,plain,
    ( spl0_147
  <=> product(a,additive_identity,multiply(add(a,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f7029,plain,
    ( product(a,additive_identity,multiply(add(a,c),c))
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f5768]) ).

fof(f7090,plain,
    ( spl0_144
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7089,f6416,f7071]) ).

fof(f7089,plain,
    ( additive_identity = multiply(add(a,c),c)
    | ~ spl0_95 ),
    inference(forward_demodulation,[],[f7052,f4868]) ).

fof(f7052,plain,
    ( multiply(add(a,c),c) = add(c,c)
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f407]) ).

fof(f7088,plain,
    ( spl0_144
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7036,f6416,f7071]) ).

fof(f7036,plain,
    ( additive_identity = multiply(add(a,c),c)
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f4860]) ).

fof(f7087,plain,
    ( spl0_146
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7038,f6416,f7084]) ).

fof(f7084,plain,
    ( spl0_146
  <=> product(c,additive_identity,multiply(add(a,c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f7038,plain,
    ( product(c,additive_identity,multiply(add(a,c),c))
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f4773]) ).

fof(f7082,plain,
    ( spl0_145
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7077,f6416,f7079]) ).

fof(f7077,plain,
    ( sum(c,additive_identity,add(c,multiply(add(a,c),c)))
    | ~ spl0_95 ),
    inference(forward_demodulation,[],[f7055,f695]) ).

fof(f7055,plain,
    ( sum(c,additive_identity,add(multiply(add(a,c),c),c))
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f5103]) ).

fof(f7076,plain,
    ( spl0_143
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7075,f6416,f7065]) ).

fof(f7065,plain,
    ( spl0_143
  <=> sum(multiply(add(a,c),c),additive_identity,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f7075,plain,
    ( sum(multiply(add(a,c),c),additive_identity,additive_identity)
    | ~ spl0_95 ),
    inference(forward_demodulation,[],[f7053,f4868]) ).

fof(f7053,plain,
    ( sum(multiply(add(a,c),c),additive_identity,add(c,c))
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f1212]) ).

fof(f7074,plain,
    ( spl0_144
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7069,f6416,f7071]) ).

fof(f7069,plain,
    ( additive_identity = multiply(add(a,c),c)
    | ~ spl0_95 ),
    inference(forward_demodulation,[],[f7051,f4868]) ).

fof(f7051,plain,
    ( multiply(add(a,c),c) = add(c,c)
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f406]) ).

fof(f7068,plain,
    ( spl0_143
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7063,f6416,f7065]) ).

fof(f7063,plain,
    ( sum(multiply(add(a,c),c),additive_identity,additive_identity)
    | ~ spl0_95 ),
    inference(forward_demodulation,[],[f7054,f4868]) ).

fof(f7054,plain,
    ( sum(multiply(add(a,c),c),additive_identity,add(c,c))
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f1213]) ).

fof(f7062,plain,
    ( spl0_142
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f7057,f6416,f7059]) ).

fof(f7059,plain,
    ( spl0_142
  <=> sum(multiply(add(a,c),c),c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f7057,plain,
    ( sum(multiply(add(a,c),c),c,c)
    | ~ spl0_95 ),
    inference(resolution,[],[f6418,f5106]) ).

fof(f7005,plain,
    ( spl0_139
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6971,f6406,f6988]) ).

fof(f6988,plain,
    ( spl0_139
  <=> sum(multiply(add(b,c),b),additive_identity,add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f6406,plain,
    ( spl0_94
  <=> sum(c,b,multiply(add(b,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f6971,plain,
    ( sum(multiply(add(b,c),b),additive_identity,add(b,c))
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f1213]) ).

fof(f6408,plain,
    ( sum(c,b,multiply(add(b,c),b))
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f6406]) ).

fof(f7004,plain,
    ( spl0_140
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6969,f6406,f6994]) ).

fof(f6969,plain,
    ( add(b,c) = multiply(add(b,c),b)
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f407]) ).

fof(f7003,plain,
    ( spl0_138
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6973,f6406,f6982]) ).

fof(f6982,plain,
    ( spl0_138
  <=> sum(c,additive_identity,add(b,multiply(add(b,c),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f6973,plain,
    ( sum(c,additive_identity,add(b,multiply(add(b,c),b)))
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f5104]) ).

fof(f7002,plain,
    ( spl0_141
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6974,f6406,f6999]) ).

fof(f6999,plain,
    ( spl0_141
  <=> sum(multiply(add(b,c),b),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f6974,plain,
    ( sum(multiply(add(b,c),b),b,c)
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f5106]) ).

fof(f6997,plain,
    ( spl0_140
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6992,f6406,f6994]) ).

fof(f6992,plain,
    ( add(b,c) = multiply(add(b,c),b)
    | ~ spl0_94 ),
    inference(forward_demodulation,[],[f6968,f695]) ).

fof(f6968,plain,
    ( multiply(add(b,c),b) = add(c,b)
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f406]) ).

fof(f6991,plain,
    ( spl0_139
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6986,f6406,f6988]) ).

fof(f6986,plain,
    ( sum(multiply(add(b,c),b),additive_identity,add(b,c))
    | ~ spl0_94 ),
    inference(forward_demodulation,[],[f6970,f695]) ).

fof(f6970,plain,
    ( sum(multiply(add(b,c),b),additive_identity,add(c,b))
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f1212]) ).

fof(f6985,plain,
    ( spl0_138
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6980,f6406,f6982]) ).

fof(f6980,plain,
    ( sum(c,additive_identity,add(b,multiply(add(b,c),b)))
    | ~ spl0_94 ),
    inference(forward_demodulation,[],[f6972,f695]) ).

fof(f6972,plain,
    ( sum(c,additive_identity,add(multiply(add(b,c),b),b))
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f5103]) ).

fof(f6979,plain,
    ( spl0_137
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6958,f6406,f6976]) ).

fof(f6976,plain,
    ( spl0_137
  <=> sum(b,c,multiply(add(b,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f6958,plain,
    ( sum(b,c,multiply(add(b,c),b))
    | ~ spl0_94 ),
    inference(resolution,[],[f6408,f9]) ).

fof(f6949,plain,
    ( spl0_136
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6944,f144,f132,f6946]) ).

fof(f6944,plain,
    ( product(a,add(c,multiply(b,c)),additive_identity)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f6931,f4868]) ).

fof(f6931,plain,
    ( product(a,add(c,multiply(b,c)),add(c,c))
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(resolution,[],[f1786,f134]) ).

fof(f6928,plain,
    ( spl0_135
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6905,f144,f6925]) ).

fof(f6925,plain,
    ( spl0_135
  <=> sum(a,c,multiply(a,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f6905,plain,
    ( sum(a,c,multiply(a,add(a,c)))
    | ~ spl0_5 ),
    inference(resolution,[],[f1714,f20]) ).

fof(f6921,plain,
    ( spl0_134
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6916,f144,f132,f6918]) ).

fof(f6918,plain,
    ( spl0_134
  <=> sum(c,c,multiply(a,add(c,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f6916,plain,
    ( sum(c,c,multiply(a,add(c,multiply(b,c))))
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f6903,f695]) ).

fof(f6903,plain,
    ( sum(c,c,multiply(a,add(multiply(b,c),c)))
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(resolution,[],[f1714,f134]) ).

fof(f6879,plain,
    ( spl0_133
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f6874,f151,f29,f6876]) ).

fof(f6874,plain,
    ( sum(c,c,multiply(add(a,c),b))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6854,f695]) ).

fof(f6854,plain,
    ( sum(c,c,multiply(add(c,a),b))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f1691,f153]) ).

fof(f6871,plain,
    ( spl0_132
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6866,f29,f6868]) ).

fof(f6868,plain,
    ( spl0_132
  <=> sum(b,c,multiply(add(a,b),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f6866,plain,
    ( sum(b,c,multiply(add(a,b),b))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f6846,f695]) ).

fof(f6846,plain,
    ( sum(b,c,multiply(add(b,a),b))
    | ~ spl0_2 ),
    inference(resolution,[],[f1691,f20]) ).

fof(f6864,plain,
    ( spl0_131
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f6859,f178,f29,f6861]) ).

fof(f6861,plain,
    ( spl0_131
  <=> sum(c,c,multiply(add(a,multiply(c,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f6859,plain,
    ( sum(c,c,multiply(add(a,multiply(c,a)),b))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f6849,f695]) ).

fof(f6849,plain,
    ( sum(c,c,multiply(add(multiply(c,a),a),b))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f1691,f180]) ).

fof(f6822,plain,
    ( spl0_126
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6821,f6748,f6788]) ).

fof(f6821,plain,
    ( product(a,add(a,add(b,c)),a)
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f6783,f634]) ).

fof(f6783,plain,
    ( product(a,add(a,add(b,c)),add(additive_identity,a))
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f1358]) ).

fof(f6817,plain,
    ( spl0_130
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6812,f6748,f6814]) ).

fof(f6814,plain,
    ( spl0_130
  <=> sum(additive_identity,a,multiply(a,add(a,add(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f6812,plain,
    ( sum(additive_identity,a,multiply(a,add(a,add(b,c))))
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f6784,f695]) ).

fof(f6784,plain,
    ( sum(additive_identity,a,multiply(a,add(add(b,c),a)))
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f1360]) ).

fof(f6810,plain,
    ( spl0_129
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6781,f6748,f6807]) ).

fof(f6807,plain,
    ( spl0_129
  <=> sum(additive_identity,add(b,c),multiply(add(a,add(b,c)),add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f6781,plain,
    ( sum(additive_identity,add(b,c),multiply(add(a,add(b,c)),add(b,c)))
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f1335]) ).

fof(f6805,plain,
    ( spl0_128
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6780,f6748,f6802]) ).

fof(f6802,plain,
    ( spl0_128
  <=> additive_identity = multiply(a,add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f6780,plain,
    ( additive_identity = multiply(a,add(b,c))
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f419]) ).

fof(f6800,plain,
    ( spl0_126
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6763,f6748,f6788]) ).

fof(f6763,plain,
    ( product(a,add(a,add(b,c)),a)
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f1352]) ).

fof(f6799,plain,
    ( spl0_127
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6778,f6748,f6796]) ).

fof(f6796,plain,
    ( spl0_127
  <=> product(multiply(a,add(b,c)),add(b,c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f6778,plain,
    ( product(multiply(a,add(b,c)),add(b,c),additive_identity)
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f94]) ).

fof(f6791,plain,
    ( spl0_126
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6786,f6748,f6788]) ).

fof(f6786,plain,
    ( product(a,add(a,add(b,c)),a)
    | ~ spl0_125 ),
    inference(forward_demodulation,[],[f6782,f635]) ).

fof(f6782,plain,
    ( product(a,add(a,add(b,c)),add(a,additive_identity))
    | ~ spl0_125 ),
    inference(resolution,[],[f6750,f1357]) ).

fof(f6751,plain,
    ( spl0_125
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6746,f144,f29,f6748]) ).

fof(f6746,plain,
    ( product(a,add(b,c),additive_identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f6734,f4868]) ).

fof(f6734,plain,
    ( product(a,add(b,c),add(c,c))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f1648,f146]) ).

fof(f6745,plain,
    ( spl0_124
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6740,f132,f29,f6742]) ).

fof(f6740,plain,
    ( product(a,add(b,multiply(b,c)),additive_identity)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f6735,f4868]) ).

fof(f6735,plain,
    ( product(a,add(b,multiply(b,c)),add(c,c))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f1648,f134]) ).

fof(f6730,plain,
    ( spl0_119
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6729,f6202,f6702]) ).

fof(f6729,plain,
    ( product(c,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_92 ),
    inference(forward_demodulation,[],[f6696,f635]) ).

fof(f6696,plain,
    ( product(c,add(c,add(b,multiply(b,c))),add(c,additive_identity))
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f1357]) ).

fof(f6728,plain,
    ( spl0_123
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6692,f6202,f6725]) ).

fof(f6725,plain,
    ( spl0_123
  <=> product(multiply(c,add(b,multiply(b,c))),add(b,multiply(b,c)),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f6692,plain,
    ( product(multiply(c,add(b,multiply(b,c))),add(b,multiply(b,c)),additive_identity)
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f94]) ).

fof(f6723,plain,
    ( spl0_122
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6695,f6202,f6720]) ).

fof(f6695,plain,
    ( sum(additive_identity,add(b,multiply(b,c)),multiply(add(c,add(b,multiply(b,c))),add(b,multiply(b,c))))
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f1335]) ).

fof(f6717,plain,
    ( spl0_119
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6677,f6202,f6702]) ).

fof(f6677,plain,
    ( product(c,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f1352]) ).

fof(f6716,plain,
    ( spl0_121
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6711,f6202,f6713]) ).

fof(f6711,plain,
    ( sum(additive_identity,c,multiply(c,add(c,add(b,multiply(b,c)))))
    | ~ spl0_92 ),
    inference(forward_demodulation,[],[f6698,f695]) ).

fof(f6698,plain,
    ( sum(additive_identity,c,multiply(c,add(add(b,multiply(b,c)),c)))
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f1360]) ).

fof(f6710,plain,
    ( spl0_120
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6694,f6202,f6707]) ).

fof(f6694,plain,
    ( additive_identity = multiply(c,add(b,multiply(b,c)))
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f419]) ).

fof(f6705,plain,
    ( spl0_119
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f6700,f6202,f6702]) ).

fof(f6700,plain,
    ( product(c,add(c,add(b,multiply(b,c))),c)
    | ~ spl0_92 ),
    inference(forward_demodulation,[],[f6697,f634]) ).

fof(f6697,plain,
    ( product(c,add(c,add(b,multiply(b,c))),add(additive_identity,c))
    | ~ spl0_92 ),
    inference(resolution,[],[f6204,f1358]) ).

fof(f6674,plain,
    ( spl0_118
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6669,f144,f29,f6671]) ).

fof(f6671,plain,
    ( spl0_118
  <=> sum(c,c,multiply(a,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f6669,plain,
    ( sum(c,c,multiply(a,add(b,c)))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f6647,f695]) ).

fof(f6647,plain,
    ( sum(c,c,multiply(a,add(c,b)))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f1386,f146]) ).

fof(f6668,plain,
    ( spl0_117
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6649,f29,f6665]) ).

fof(f6665,plain,
    ( spl0_117
  <=> sum(a,c,multiply(a,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f6649,plain,
    ( sum(a,c,multiply(a,add(a,b)))
    | ~ spl0_2 ),
    inference(resolution,[],[f1386,f20]) ).

fof(f6660,plain,
    ( spl0_116
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6655,f132,f29,f6657]) ).

fof(f6657,plain,
    ( spl0_116
  <=> sum(c,c,multiply(a,add(b,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f6655,plain,
    ( sum(c,c,multiply(a,add(b,multiply(b,c))))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f6648,f695]) ).

fof(f6648,plain,
    ( sum(c,c,multiply(a,add(multiply(b,c),b)))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f1386,f134]) ).

fof(f6643,plain,
    ( spl0_115
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f6586,f3217,f6640]) ).

fof(f6640,plain,
    ( spl0_115
  <=> sum(c,multiply(c,a),multiply(multiply(c,a),add(multiply(b,c),multiply(c,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3217,plain,
    ( spl0_52
  <=> product(multiply(c,a),multiply(b,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f6586,plain,
    ( sum(c,multiply(c,a),multiply(multiply(c,a),add(multiply(b,c),multiply(c,a))))
    | ~ spl0_52 ),
    inference(resolution,[],[f1360,f3219]) ).

fof(f3219,plain,
    ( product(multiply(c,a),multiply(b,c),c)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f3217]) ).

fof(f6636,plain,
    ( spl0_114
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6631,f132,f6633]) ).

fof(f6631,plain,
    ( sum(c,a,multiply(a,add(a,multiply(b,c))))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f6593,f695]) ).

fof(f6593,plain,
    ( sum(c,a,multiply(a,add(multiply(b,c),a)))
    | ~ spl0_3 ),
    inference(resolution,[],[f1360,f134]) ).

fof(f6630,plain,
    ( spl0_113
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f6584,f178,f6627]) ).

fof(f6627,plain,
    ( spl0_113
  <=> sum(c,multiply(c,a),multiply(multiply(c,a),add(b,multiply(c,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f6584,plain,
    ( sum(c,multiply(c,a),multiply(multiply(c,a),add(b,multiply(c,a))))
    | ~ spl0_8 ),
    inference(resolution,[],[f1360,f180]) ).

fof(f6625,plain,
    ( spl0_112
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f6585,f751,f6622]) ).

fof(f6622,plain,
    ( spl0_112
  <=> sum(c,multiply(c,a),multiply(multiply(c,a),add(c,multiply(c,a)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f6585,plain,
    ( sum(c,multiply(c,a),multiply(multiply(c,a),add(c,multiply(c,a))))
    | ~ spl0_25 ),
    inference(resolution,[],[f1360,f753]) ).

fof(f6617,plain,
    ( spl0_111
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6612,f29,f6614]) ).

fof(f6614,plain,
    ( spl0_111
  <=> sum(c,a,multiply(a,add(a,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f6612,plain,
    ( sum(c,a,multiply(a,add(a,b)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f6591,f695]) ).

fof(f6591,plain,
    ( sum(c,a,multiply(a,add(b,a)))
    | ~ spl0_2 ),
    inference(resolution,[],[f1360,f31]) ).

fof(f6608,plain,
    ( spl0_110
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f6603,f259,f6605]) ).

fof(f6605,plain,
    ( spl0_110
  <=> sum(c,c,multiply(c,add(c,multiply(b,c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f6603,plain,
    ( sum(c,c,multiply(c,add(c,multiply(b,c))))
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f6594,f695]) ).

fof(f6594,plain,
    ( sum(c,c,multiply(c,add(multiply(b,c),c)))
    | ~ spl0_12 ),
    inference(resolution,[],[f1360,f261]) ).

fof(f6602,plain,
    ( spl0_109
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6597,f144,f6599]) ).

fof(f6599,plain,
    ( spl0_109
  <=> sum(c,a,multiply(a,add(a,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f6597,plain,
    ( sum(c,a,multiply(a,add(a,c)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f6592,f695]) ).

fof(f6592,plain,
    ( sum(c,a,multiply(a,add(c,a)))
    | ~ spl0_5 ),
    inference(resolution,[],[f1360,f146]) ).

fof(f6523,plain,
    ( spl0_108
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6469,f29,f6520]) ).

fof(f6469,plain,
    ( product(a,add(a,b),add(a,c))
    | ~ spl0_2 ),
    inference(resolution,[],[f1357,f31]) ).

fof(f6517,plain,
    ( spl0_107
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6470,f144,f6514]) ).

fof(f6470,plain,
    ( product(a,add(a,c),add(a,c))
    | ~ spl0_5 ),
    inference(resolution,[],[f1357,f146]) ).

fof(f6509,plain,
    ( spl0_106
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6471,f132,f6506]) ).

fof(f6471,plain,
    ( product(a,add(a,multiply(b,c)),add(a,c))
    | ~ spl0_3 ),
    inference(resolution,[],[f1357,f134]) ).

fof(f6501,plain,
    ( spl0_105
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f6496,f259,f6498]) ).

fof(f6496,plain,
    ( product(c,add(c,multiply(b,c)),additive_identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f6472,f4868]) ).

fof(f6472,plain,
    ( product(c,add(c,multiply(b,c)),add(c,c))
    | ~ spl0_12 ),
    inference(resolution,[],[f1357,f261]) ).

fof(f6495,plain,
    ( spl0_104
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f6490,f3217,f6492]) ).

fof(f6492,plain,
    ( spl0_104
  <=> product(multiply(c,a),add(multiply(b,c),multiply(c,a)),add(c,multiply(c,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f6490,plain,
    ( product(multiply(c,a),add(multiply(b,c),multiply(c,a)),add(c,multiply(c,a)))
    | ~ spl0_52 ),
    inference(forward_demodulation,[],[f6489,f695]) ).

fof(f6489,plain,
    ( product(multiply(c,a),add(multiply(c,a),multiply(b,c)),add(c,multiply(c,a)))
    | ~ spl0_52 ),
    inference(forward_demodulation,[],[f6464,f695]) ).

fof(f6464,plain,
    ( product(multiply(c,a),add(multiply(c,a),multiply(b,c)),add(multiply(c,a),c))
    | ~ spl0_52 ),
    inference(resolution,[],[f1357,f3219]) ).

fof(f6488,plain,
    ( spl0_103
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f6483,f751,f6485]) ).

fof(f6485,plain,
    ( spl0_103
  <=> product(multiply(c,a),add(c,multiply(c,a)),add(c,multiply(c,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f6483,plain,
    ( product(multiply(c,a),add(c,multiply(c,a)),add(c,multiply(c,a)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f6463,f695]) ).

fof(f6463,plain,
    ( product(multiply(c,a),add(multiply(c,a),c),add(multiply(c,a),c))
    | ~ spl0_25 ),
    inference(resolution,[],[f1357,f753]) ).

fof(f6481,plain,
    ( spl0_102
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f6476,f178,f6478]) ).

fof(f6478,plain,
    ( spl0_102
  <=> product(multiply(c,a),add(b,multiply(c,a)),add(c,multiply(c,a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f6476,plain,
    ( product(multiply(c,a),add(b,multiply(c,a)),add(c,multiply(c,a)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f6475,f695]) ).

fof(f6475,plain,
    ( product(multiply(c,a),add(multiply(c,a),b),add(c,multiply(c,a)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f6462,f695]) ).

fof(f6462,plain,
    ( product(multiply(c,a),add(multiply(c,a),b),add(multiply(c,a),c))
    | ~ spl0_8 ),
    inference(resolution,[],[f1357,f180]) ).

fof(f6455,plain,
    ( spl0_101
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f6450,f751,f6452]) ).

fof(f6452,plain,
    ( spl0_101
  <=> sum(c,c,multiply(add(c,multiply(c,a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f6450,plain,
    ( sum(c,c,multiply(add(c,multiply(c,a)),c))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f6386,f695]) ).

fof(f6386,plain,
    ( sum(c,c,multiply(add(multiply(c,a),c),c))
    | ~ spl0_25 ),
    inference(resolution,[],[f1335,f753]) ).

fof(f6449,plain,
    ( spl0_100
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f6444,f178,f6446]) ).

fof(f6446,plain,
    ( spl0_100
  <=> sum(c,b,multiply(add(b,multiply(c,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f6444,plain,
    ( sum(c,b,multiply(add(b,multiply(c,a)),b))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f6385,f695]) ).

fof(f6385,plain,
    ( sum(c,b,multiply(add(multiply(c,a),b),b))
    | ~ spl0_8 ),
    inference(resolution,[],[f1335,f180]) ).

fof(f6443,plain,
    ( spl0_99
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f6438,f3217,f6440]) ).

fof(f6440,plain,
    ( spl0_99
  <=> sum(c,multiply(b,c),multiply(add(multiply(b,c),multiply(c,a)),multiply(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f6438,plain,
    ( sum(c,multiply(b,c),multiply(add(multiply(b,c),multiply(c,a)),multiply(b,c)))
    | ~ spl0_52 ),
    inference(forward_demodulation,[],[f6387,f695]) ).

fof(f6387,plain,
    ( sum(c,multiply(b,c),multiply(add(multiply(c,a),multiply(b,c)),multiply(b,c)))
    | ~ spl0_52 ),
    inference(resolution,[],[f1335,f3219]) ).

fof(f6437,plain,
    ( spl0_98
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6392,f29,f6434]) ).

fof(f6392,plain,
    ( sum(c,b,multiply(add(a,b),b))
    | ~ spl0_2 ),
    inference(resolution,[],[f1335,f31]) ).

fof(f6431,plain,
    ( spl0_97
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6394,f132,f6428]) ).

fof(f6394,plain,
    ( sum(c,multiply(b,c),multiply(add(a,multiply(b,c)),multiply(b,c)))
    | ~ spl0_3 ),
    inference(resolution,[],[f1335,f134]) ).

fof(f6426,plain,
    ( spl0_96
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f6395,f259,f6423]) ).

fof(f6395,plain,
    ( sum(c,multiply(b,c),multiply(add(c,multiply(b,c)),multiply(b,c)))
    | ~ spl0_12 ),
    inference(resolution,[],[f1335,f261]) ).

fof(f6419,plain,
    ( spl0_95
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6393,f144,f6416]) ).

fof(f6393,plain,
    ( sum(c,c,multiply(add(a,c),c))
    | ~ spl0_5 ),
    inference(resolution,[],[f1335,f146]) ).

fof(f6409,plain,
    ( spl0_94
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f6404,f151,f6406]) ).

fof(f6404,plain,
    ( sum(c,b,multiply(add(b,c),b))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6397,f695]) ).

fof(f6397,plain,
    ( sum(c,b,multiply(add(c,b),b))
    | ~ spl0_6 ),
    inference(resolution,[],[f1335,f153]) ).

fof(f6403,plain,
    ( spl0_93
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f6398,f4973,f6400]) ).

fof(f6400,plain,
    ( spl0_93
  <=> sum(additive_identity,add(b,c),multiply(b,add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f6398,plain,
    ( sum(additive_identity,add(b,c),multiply(b,add(b,c)))
    | ~ spl0_89 ),
    inference(forward_demodulation,[],[f6396,f5126]) ).

fof(f6396,plain,
    ( sum(additive_identity,add(b,c),multiply(add(c,add(b,c)),add(b,c)))
    | ~ spl0_89 ),
    inference(resolution,[],[f1335,f4975]) ).

fof(f6207,plain,
    ( spl0_92
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f6206,f259,f151,f6202]) ).

fof(f6206,plain,
    ( product(c,add(b,multiply(b,c)),additive_identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f6200,f695]) ).

fof(f6200,plain,
    ( product(c,add(multiply(b,c),b),additive_identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(resolution,[],[f4935,f99]) ).

fof(f4935,plain,
    ( ! [X1] :
        ( ~ sum(b,multiply(b,c),X1)
        | product(c,X1,additive_identity) )
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f1997,f4868]) ).

fof(f1997,plain,
    ( ! [X1] :
        ( ~ sum(b,multiply(b,c),X1)
        | product(c,X1,add(c,c)) )
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(resolution,[],[f392,f261]) ).

fof(f6205,plain,
    ( spl0_92
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f6199,f259,f151,f6202]) ).

fof(f6199,plain,
    ( product(c,add(b,multiply(b,c)),additive_identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(resolution,[],[f4935,f4]) ).

fof(f5076,plain,
    ( spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f5059,f151,f5073]) ).

fof(f5073,plain,
    ( spl0_91
  <=> product(c,additive_inverse(b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f5059,plain,
    ( product(c,additive_inverse(b),c)
    | ~ spl0_6 ),
    inference(resolution,[],[f4855,f1094]) ).

fof(f1094,plain,
    ( ! [X0] :
        ( ~ sum(b,additive_identity,X0)
        | product(c,X0,c) )
    | ~ spl0_6 ),
    inference(resolution,[],[f390,f18]) ).

fof(f390,plain,
    ( ! [X0,X1] :
        ( ~ product(c,X1,additive_identity)
        | product(c,X0,c)
        | ~ sum(b,X1,X0) )
    | ~ spl0_6 ),
    inference(resolution,[],[f172,f2]) ).

fof(f5009,plain,
    ( spl0_89
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f5008,f4291,f4973]) ).

fof(f4291,plain,
    ( spl0_86
  <=> product(c,add(b,c),multiply(a,add(c,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f5008,plain,
    ( product(c,add(b,c),additive_identity)
    | ~ spl0_86 ),
    inference(forward_demodulation,[],[f4961,f454]) ).

fof(f4961,plain,
    ( product(c,add(b,c),multiply(a,additive_identity))
    | ~ spl0_86 ),
    inference(backward_demodulation,[],[f4293,f4868]) ).

fof(f4293,plain,
    ( product(c,add(b,c),multiply(a,add(c,c)))
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f4291]) ).

fof(f5003,plain,
    ( spl0_89
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f5002,f3808,f4973]) ).

fof(f3808,plain,
    ( spl0_75
  <=> product(c,add(b,c),multiply(c,add(c,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f5002,plain,
    ( product(c,add(b,c),additive_identity)
    | ~ spl0_75 ),
    inference(forward_demodulation,[],[f4960,f454]) ).

fof(f4960,plain,
    ( product(c,add(b,c),multiply(c,additive_identity))
    | ~ spl0_75 ),
    inference(backward_demodulation,[],[f3810,f4868]) ).

fof(f3810,plain,
    ( product(c,add(b,c),multiply(c,add(c,c)))
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f3808]) ).

fof(f4995,plain,
    ( spl0_90
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f4954,f3508,f4992]) ).

fof(f3508,plain,
    ( spl0_67
  <=> add(c,c) = multiply(c,add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f4954,plain,
    ( additive_identity = multiply(c,add(b,c))
    | ~ spl0_67 ),
    inference(backward_demodulation,[],[f3510,f4868]) ).

fof(f3510,plain,
    ( add(c,c) = multiply(c,add(b,c))
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f3508]) ).

fof(f4976,plain,
    ( spl0_89
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f4938,f3436,f4973]) ).

fof(f3436,plain,
    ( spl0_63
  <=> product(c,add(b,c),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f4938,plain,
    ( product(c,add(b,c),additive_identity)
    | ~ spl0_63 ),
    inference(backward_demodulation,[],[f3438,f4868]) ).

fof(f3438,plain,
    ( product(c,add(b,c),add(c,c))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f3436]) ).

fof(f4344,plain,
    ( spl0_88
    | ~ spl0_5
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4276,f3418,f144,f4341]) ).

fof(f4341,plain,
    ( spl0_88
  <=> product(c,add(b,b),multiply(a,add(c,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3418,plain,
    ( spl0_60
  <=> add(c,c) = multiply(c,add(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f4276,plain,
    ( product(c,add(b,b),multiply(a,add(c,c)))
    | ~ spl0_5
    | ~ spl0_60 ),
    inference(superposition,[],[f3614,f3420]) ).

fof(f3420,plain,
    ( add(c,c) = multiply(c,add(b,b))
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f3418]) ).

fof(f3614,plain,
    ( ! [X0] : product(c,X0,multiply(a,multiply(c,X0)))
    | ~ spl0_5 ),
    inference(resolution,[],[f2088,f3]) ).

fof(f2088,plain,
    ( ! [X36,X37] :
        ( ~ product(a,multiply(c,X36),X37)
        | product(c,X36,X37) )
    | ~ spl0_5 ),
    inference(resolution,[],[f89,f146]) ).

fof(f4309,plain,
    ( spl0_87
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f4263,f144,f4306]) ).

fof(f4306,plain,
    ( spl0_87
  <=> product(c,c,multiply(multiply(a,multiply(c,a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f4263,plain,
    ( product(c,c,multiply(multiply(a,multiply(c,a)),c))
    | ~ spl0_5 ),
    inference(resolution,[],[f3614,f2070]) ).

fof(f2070,plain,
    ( ! [X36,X37] :
        ( ~ product(X36,a,X37)
        | product(X36,c,multiply(X37,c)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f88,f146]) ).

fof(f4294,plain,
    ( spl0_86
    | ~ spl0_5
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f4277,f3508,f144,f4291]) ).

fof(f4277,plain,
    ( product(c,add(b,c),multiply(a,add(c,c)))
    | ~ spl0_5
    | ~ spl0_67 ),
    inference(superposition,[],[f3614,f3510]) ).

fof(f4289,plain,
    ( spl0_85
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f4284,f144,f29,f4286]) ).

fof(f4286,plain,
    ( spl0_85
  <=> product(multiply(a,multiply(c,a)),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f4284,plain,
    ( product(multiply(a,multiply(c,a)),b,c)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4265,f450]) ).

fof(f4265,plain,
    ( product(multiply(a,multiply(c,a)),b,multiply(c,c))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f3614,f95]) ).

fof(f4110,plain,
    ( spl0_82
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3993,f29,f4071]) ).

fof(f4071,plain,
    ( spl0_82
  <=> product(multiply(a,multiply(b,a)),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f3993,plain,
    ( product(multiply(a,multiply(b,a)),b,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f3609,f66]) ).

fof(f66,plain,
    ( ! [X0] :
        ( ~ product(c,a,X0)
        | product(X0,b,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f36,f20]) ).

fof(f3609,plain,
    ( ! [X0] : product(c,X0,multiply(a,multiply(b,X0)))
    | ~ spl0_2 ),
    inference(resolution,[],[f2087,f3]) ).

fof(f4095,plain,
    ( spl0_84
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f4042,f29,f4092]) ).

fof(f4092,plain,
    ( spl0_84
  <=> product(c,c,multiply(multiply(a,multiply(b,a)),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f4042,plain,
    ( product(c,c,multiply(multiply(a,multiply(b,a)),b))
    | ~ spl0_2 ),
    inference(resolution,[],[f3609,f2069]) ).

fof(f2069,plain,
    ( ! [X34,X35] :
        ( ~ product(X34,a,X35)
        | product(X34,c,multiply(X35,b)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f88,f31]) ).

fof(f4084,plain,
    ( spl0_83
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f4038,f29,f4081]) ).

fof(f4081,plain,
    ( spl0_83
  <=> sum(multiply(a,multiply(b,additive_inverse(c))),additive_inverse(c),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f4038,plain,
    ( sum(multiply(a,multiply(b,additive_inverse(c))),additive_inverse(c),additive_identity)
    | ~ spl0_2 ),
    inference(resolution,[],[f3609,f2240]) ).

fof(f4074,plain,
    ( spl0_82
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f4069,f29,f4071]) ).

fof(f4069,plain,
    ( product(multiply(a,multiply(b,a)),b,c)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4043,f450]) ).

fof(f4043,plain,
    ( product(multiply(a,multiply(b,a)),b,multiply(c,c))
    | ~ spl0_2 ),
    inference(resolution,[],[f3609,f95]) ).

fof(f4059,plain,
    ( spl0_81
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f4041,f144,f29,f4056]) ).

fof(f4056,plain,
    ( spl0_81
  <=> product(c,c,multiply(multiply(a,multiply(b,a)),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f4041,plain,
    ( product(c,c,multiply(multiply(a,multiply(b,a)),c))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f3609,f2070]) ).

fof(f3894,plain,
    ( spl0_80
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f3767,f3418,f3891]) ).

fof(f3891,plain,
    ( spl0_80
  <=> product(c,add(b,b),multiply(c,add(c,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f3767,plain,
    ( product(c,add(b,b),multiply(c,add(c,c)))
    | ~ spl0_60 ),
    inference(superposition,[],[f3585,f3420]) ).

fof(f3585,plain,
    ! [X2,X1] : product(X1,X2,multiply(X1,multiply(X1,X2))),
    inference(resolution,[],[f2075,f3]) ).

fof(f2075,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,multiply(X0,X1),X2)
      | product(X0,X1,X2) ),
    inference(resolution,[],[f89,f20]) ).

fof(f3846,plain,
    ( spl0_79
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f3736,f151,f3843]) ).

fof(f3843,plain,
    ( spl0_79
  <=> product(c,multiply(b,multiply(b,c)),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f3736,plain,
    ( product(c,multiply(b,multiply(b,c)),c)
    | ~ spl0_6 ),
    inference(resolution,[],[f3585,f174]) ).

fof(f174,plain,
    ( ! [X20] :
        ( ~ product(b,c,X20)
        | product(c,X20,c) )
    | ~ spl0_6 ),
    inference(resolution,[],[f153,f33]) ).

fof(f3834,plain,
    ( spl0_78
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f3760,f1570,f3831]) ).

fof(f3831,plain,
    ( spl0_78
  <=> product(additive_inverse(a),b,multiply(additive_inverse(a),additive_inverse(c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1570,plain,
    ( spl0_47
  <=> multiply(additive_inverse(a),b) = additive_inverse(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3760,plain,
    ( product(additive_inverse(a),b,multiply(additive_inverse(a),additive_inverse(c)))
    | ~ spl0_47 ),
    inference(superposition,[],[f3585,f1572]) ).

fof(f1572,plain,
    ( multiply(additive_inverse(a),b) = additive_inverse(c)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f1570]) ).

fof(f3821,plain,
    ( spl0_77
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3741,f29,f3818]) ).

fof(f3818,plain,
    ( spl0_77
  <=> product(multiply(c,multiply(c,a)),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f3741,plain,
    ( product(multiply(c,multiply(c,a)),b,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f3585,f66]) ).

fof(f3816,plain,
    ( spl0_76
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3737,f29,f3813]) ).

fof(f3813,plain,
    ( spl0_76
  <=> product(a,multiply(b,multiply(b,c)),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3737,plain,
    ( product(a,multiply(b,multiply(b,c)),c)
    | ~ spl0_2 ),
    inference(resolution,[],[f3585,f54]) ).

fof(f54,plain,
    ( ! [X4] :
        ( ~ product(b,c,X4)
        | product(a,X4,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f33,f31]) ).

fof(f3811,plain,
    ( spl0_75
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3768,f3508,f3808]) ).

fof(f3768,plain,
    ( product(c,add(b,c),multiply(c,add(c,c)))
    | ~ spl0_67 ),
    inference(superposition,[],[f3585,f3510]) ).

fof(f3786,plain,
    ( spl0_74
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f3781,f1570,f29,f3783]) ).

fof(f3783,plain,
    ( spl0_74
  <=> sum(multiply(additive_inverse(a),additive_inverse(c)),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3781,plain,
    ( sum(multiply(additive_inverse(a),additive_inverse(c)),c,additive_identity)
    | ~ spl0_2
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f3711,f1572]) ).

fof(f3711,plain,
    ( sum(multiply(additive_inverse(a),multiply(additive_inverse(a),b)),c,additive_identity)
    | ~ spl0_2 ),
    inference(resolution,[],[f3585,f927]) ).

fof(f927,plain,
    ( ! [X0] :
        ( ~ product(additive_inverse(a),b,X0)
        | sum(X0,c,additive_identity) )
    | ~ spl0_2 ),
    inference(resolution,[],[f113,f5]) ).

fof(f113,plain,
    ( ! [X8,X7] :
        ( ~ sum(X7,a,additive_identity)
        | sum(X8,c,additive_identity)
        | ~ product(X7,b,X8) )
    | ~ spl0_2 ),
    inference(resolution,[],[f42,f19]) ).

fof(f3561,plain,
    ( spl0_73
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3547,f3508,f3558]) ).

fof(f3558,plain,
    ( spl0_73
  <=> product(c,multiply(add(b,c),add(c,c)),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3547,plain,
    ( product(c,multiply(add(b,c),add(c,c)),add(c,c))
    | ~ spl0_67 ),
    inference(superposition,[],[f914,f3510]) ).

fof(f3556,plain,
    ( spl0_72
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3548,f3508,f3553]) ).

fof(f3553,plain,
    ( spl0_72
  <=> add(c,c) = multiply(add(c,c),add(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3548,plain,
    ( add(c,c) = multiply(add(c,c),add(b,c))
    | ~ spl0_67 ),
    inference(superposition,[],[f870,f3510]) ).

fof(f3537,plain,
    ( spl0_71
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f3524,f3418,f3534]) ).

fof(f3534,plain,
    ( spl0_71
  <=> add(c,c) = multiply(add(c,c),add(b,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3524,plain,
    ( add(c,c) = multiply(add(c,c),add(b,b))
    | ~ spl0_60 ),
    inference(superposition,[],[f870,f3420]) ).

fof(f3532,plain,
    ( spl0_70
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f3523,f3418,f3529]) ).

fof(f3529,plain,
    ( spl0_70
  <=> product(c,multiply(add(b,b),add(c,c)),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3523,plain,
    ( product(c,multiply(add(b,b),add(c,c)),add(c,c))
    | ~ spl0_60 ),
    inference(superposition,[],[f914,f3420]) ).

fof(f3522,plain,
    ( spl0_69
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3517,f3508,f3503,f3519]) ).

fof(f3519,plain,
    ( spl0_69
  <=> product(add(c,c),add(b,c),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3503,plain,
    ( spl0_66
  <=> product(multiply(c,add(b,c)),add(b,c),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3517,plain,
    ( product(add(c,c),add(b,c),add(c,c))
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(backward_demodulation,[],[f3505,f3510]) ).

fof(f3505,plain,
    ( product(multiply(c,add(b,c)),add(b,c),add(c,c))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f3503]) ).

fof(f3516,plain,
    ( spl0_68
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f3501,f3436,f3513]) ).

fof(f3513,plain,
    ( spl0_68
  <=> product(c,add(b,c),multiply(add(c,c),add(b,c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3501,plain,
    ( product(c,add(b,c),multiply(add(c,c),add(b,c)))
    | ~ spl0_63 ),
    inference(resolution,[],[f3438,f2057]) ).

fof(f3511,plain,
    ( spl0_67
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f3500,f3436,f3508]) ).

fof(f3500,plain,
    ( add(c,c) = multiply(c,add(b,c))
    | ~ spl0_63 ),
    inference(resolution,[],[f3438,f419]) ).

fof(f3506,plain,
    ( spl0_66
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f3498,f3436,f3503]) ).

fof(f3498,plain,
    ( product(multiply(c,add(b,c)),add(b,c),add(c,c))
    | ~ spl0_63 ),
    inference(resolution,[],[f3438,f94]) ).

fof(f3480,plain,
    ( spl0_65
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f3462,f3394,f3477]) ).

fof(f3477,plain,
    ( spl0_65
  <=> product(c,add(b,b),multiply(add(c,c),add(b,b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3394,plain,
    ( spl0_59
  <=> product(c,add(b,b),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3462,plain,
    ( product(c,add(b,b),multiply(add(c,c),add(b,b)))
    | ~ spl0_59 ),
    inference(resolution,[],[f2057,f3396]) ).

fof(f3396,plain,
    ( product(c,add(b,b),add(c,c))
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f3394]) ).

fof(f3467,plain,
    ( spl0_64
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f3456,f3337,f3464]) ).

fof(f3464,plain,
    ( spl0_64
  <=> product(additive_inverse(a),multiply(b,additive_inverse(c)),multiply(additive_inverse(c),multiply(b,additive_inverse(c)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f3337,plain,
    ( spl0_56
  <=> product(additive_inverse(a),multiply(b,additive_inverse(c)),additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3456,plain,
    ( product(additive_inverse(a),multiply(b,additive_inverse(c)),multiply(additive_inverse(c),multiply(b,additive_inverse(c))))
    | ~ spl0_56 ),
    inference(resolution,[],[f2057,f3339]) ).

fof(f3339,plain,
    ( product(additive_inverse(a),multiply(b,additive_inverse(c)),additive_inverse(c))
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f3337]) ).

fof(f3441,plain,
    ( spl0_63
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f3440,f151,f3436]) ).

fof(f3440,plain,
    ( product(c,add(b,c),add(c,c))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3434,f695]) ).

fof(f3434,plain,
    ( product(c,add(c,b),add(c,c))
    | ~ spl0_6 ),
    inference(resolution,[],[f1998,f99]) ).

fof(f1998,plain,
    ( ! [X2] :
        ( ~ sum(b,c,X2)
        | product(c,X2,add(c,c)) )
    | ~ spl0_6 ),
    inference(resolution,[],[f392,f20]) ).

fof(f3439,plain,
    ( spl0_63
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f3433,f151,f3436]) ).

fof(f3433,plain,
    ( product(c,add(b,c),add(c,c))
    | ~ spl0_6 ),
    inference(resolution,[],[f1998,f4]) ).

fof(f3432,plain,
    ( spl0_62
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f3427,f3423,f3418,f3429]) ).

fof(f3429,plain,
    ( spl0_62
  <=> product(add(c,c),add(b,b),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3423,plain,
    ( spl0_61
  <=> product(multiply(c,add(b,b)),add(b,b),add(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3427,plain,
    ( product(add(c,c),add(b,b),add(c,c))
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(backward_demodulation,[],[f3425,f3420]) ).

fof(f3425,plain,
    ( product(multiply(c,add(b,b)),add(b,b),add(c,c))
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f3423]) ).

fof(f3426,plain,
    ( spl0_61
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f3414,f3394,f3423]) ).

fof(f3414,plain,
    ( product(multiply(c,add(b,b)),add(b,b),add(c,c))
    | ~ spl0_59 ),
    inference(resolution,[],[f3396,f94]) ).

fof(f3421,plain,
    ( spl0_60
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f3416,f3394,f3418]) ).

fof(f3416,plain,
    ( add(c,c) = multiply(c,add(b,b))
    | ~ spl0_59 ),
    inference(resolution,[],[f3396,f419]) ).

fof(f3398,plain,
    ( spl0_59
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f3391,f151,f3394]) ).

fof(f3391,plain,
    ( product(c,add(b,b),add(c,c))
    | ~ spl0_6 ),
    inference(resolution,[],[f1996,f4]) ).

fof(f1996,plain,
    ( ! [X0] :
        ( ~ sum(b,b,X0)
        | product(c,X0,add(c,c)) )
    | ~ spl0_6 ),
    inference(resolution,[],[f392,f153]) ).

fof(f3397,plain,
    ( spl0_59
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f3392,f151,f3394]) ).

fof(f3392,plain,
    ( product(c,add(b,b),add(c,c))
    | ~ spl0_6 ),
    inference(resolution,[],[f1996,f99]) ).

fof(f3379,plain,
    ( spl0_58
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f3369,f3337,f3376]) ).

fof(f3376,plain,
    ( spl0_58
  <=> multiply(additive_inverse(a),multiply(b,additive_inverse(c))) = additive_inverse(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3369,plain,
    ( multiply(additive_inverse(a),multiply(b,additive_inverse(c))) = additive_inverse(c)
    | ~ spl0_56 ),
    inference(resolution,[],[f3339,f419]) ).

fof(f3374,plain,
    ( spl0_57
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f3367,f3337,f3371]) ).

fof(f3371,plain,
    ( spl0_57
  <=> product(multiply(additive_inverse(a),multiply(b,additive_inverse(c))),multiply(b,additive_inverse(c)),additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3367,plain,
    ( product(multiply(additive_inverse(a),multiply(b,additive_inverse(c))),multiply(b,additive_inverse(c)),additive_inverse(c))
    | ~ spl0_56 ),
    inference(resolution,[],[f3339,f94]) ).

fof(f3340,plain,
    ( spl0_56
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f3299,f1570,f3337]) ).

fof(f3299,plain,
    ( product(additive_inverse(a),multiply(b,additive_inverse(c)),additive_inverse(c))
    | ~ spl0_47 ),
    inference(superposition,[],[f914,f1572]) ).

fof(f3317,plain,
    ( spl0_55
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f3300,f1664,f3314]) ).

fof(f3314,plain,
    ( spl0_55
  <=> product(additive_inverse(c),multiply(b,additive_inverse(c)),additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1664,plain,
    ( spl0_50
  <=> additive_inverse(c) = multiply(additive_inverse(c),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3300,plain,
    ( product(additive_inverse(c),multiply(b,additive_inverse(c)),additive_inverse(c))
    | ~ spl0_50 ),
    inference(superposition,[],[f914,f1666]) ).

fof(f1666,plain,
    ( additive_inverse(c) = multiply(additive_inverse(c),b)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f3253,plain,
    ( spl0_54
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f3242,f3217,f3250]) ).

fof(f3250,plain,
    ( spl0_54
  <=> c = multiply(multiply(c,a),multiply(b,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3242,plain,
    ( c = multiply(multiply(c,a),multiply(b,c))
    | ~ spl0_52 ),
    inference(resolution,[],[f3219,f419]) ).

fof(f3247,plain,
    ( spl0_53
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f3240,f3217,f3244]) ).

fof(f3244,plain,
    ( spl0_53
  <=> product(multiply(multiply(c,a),multiply(b,c)),multiply(b,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3240,plain,
    ( product(multiply(multiply(c,a),multiply(b,c)),multiply(b,c),c)
    | ~ spl0_52 ),
    inference(resolution,[],[f3219,f94]) ).

fof(f3220,plain,
    ( spl0_52
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f3215,f178,f3217]) ).

fof(f3215,plain,
    ( product(multiply(c,a),multiply(b,c),c)
    | ~ spl0_8 ),
    inference(resolution,[],[f226,f3]) ).

fof(f226,plain,
    ( ! [X20] :
        ( ~ product(b,c,X20)
        | product(multiply(c,a),X20,c) )
    | ~ spl0_8 ),
    inference(resolution,[],[f180,f33]) ).

fof(f1672,plain,
    ( spl0_51
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1661,f1637,f1669]) ).

fof(f1669,plain,
    ( spl0_51
  <=> product(multiply(additive_inverse(c),b),b,additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1637,plain,
    ( spl0_48
  <=> product(additive_inverse(c),b,additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1661,plain,
    ( product(multiply(additive_inverse(c),b),b,additive_inverse(c))
    | ~ spl0_48 ),
    inference(resolution,[],[f1639,f94]) ).

fof(f1639,plain,
    ( product(additive_inverse(c),b,additive_inverse(c))
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f1637]) ).

fof(f1667,plain,
    ( spl0_50
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1662,f1637,f1664]) ).

fof(f1662,plain,
    ( additive_inverse(c) = multiply(additive_inverse(c),b)
    | ~ spl0_48 ),
    inference(resolution,[],[f1639,f419]) ).

fof(f1645,plain,
    ( spl0_49
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1635,f1570,f1642]) ).

fof(f1642,plain,
    ( spl0_49
  <=> product(additive_inverse(a),b,additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1635,plain,
    ( product(additive_inverse(a),b,additive_inverse(c))
    | ~ spl0_47 ),
    inference(superposition,[],[f3,f1572]) ).

fof(f1640,plain,
    ( spl0_48
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1634,f1570,f1637]) ).

fof(f1634,plain,
    ( product(additive_inverse(c),b,additive_inverse(c))
    | ~ spl0_47 ),
    inference(superposition,[],[f722,f1572]) ).

fof(f1573,plain,
    ( spl0_47
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1529,f1424,f1570]) ).

fof(f1424,plain,
    ( spl0_39
  <=> sum(multiply(additive_inverse(a),b),additive_identity,additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1529,plain,
    ( multiply(additive_inverse(a),b) = additive_inverse(c)
    | ~ spl0_39 ),
    inference(resolution,[],[f1426,f403]) ).

fof(f1426,plain,
    ( sum(multiply(additive_inverse(a),b),additive_identity,additive_inverse(c))
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f1424]) ).

fof(f1568,plain,
    ( spl0_46
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1542,f1424,f1565]) ).

fof(f1565,plain,
    ( spl0_46
  <=> additive_inverse(c) = add(multiply(additive_inverse(a),b),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1542,plain,
    ( additive_inverse(c) = add(multiply(additive_inverse(a),b),additive_identity)
    | ~ spl0_39 ),
    inference(resolution,[],[f1426,f406]) ).

fof(f1563,plain,
    ( spl0_45
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1543,f1424,f1560]) ).

fof(f1560,plain,
    ( spl0_45
  <=> add(additive_identity,multiply(additive_inverse(a),b)) = additive_inverse(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1543,plain,
    ( add(additive_identity,multiply(additive_inverse(a),b)) = additive_inverse(c)
    | ~ spl0_39 ),
    inference(resolution,[],[f1426,f407]) ).

fof(f1558,plain,
    ( spl0_44
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1530,f1424,f1555]) ).

fof(f1555,plain,
    ( spl0_44
  <=> product(multiply(additive_inverse(a),b),multiply(additive_inverse(a),b),additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1530,plain,
    ( product(multiply(additive_inverse(a),b),multiply(additive_inverse(a),b),additive_inverse(c))
    | ~ spl0_39 ),
    inference(resolution,[],[f1426,f854]) ).

fof(f1553,plain,
    ( spl0_43
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1534,f1424,f1550]) ).

fof(f1550,plain,
    ( spl0_43
  <=> sum(additive_identity,multiply(additive_inverse(a),b),additive_inverse(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1534,plain,
    ( sum(additive_identity,multiply(additive_inverse(a),b),additive_inverse(c))
    | ~ spl0_39 ),
    inference(resolution,[],[f1426,f9]) ).

fof(f1548,plain,
    ( spl0_42
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1531,f1424,f1545]) ).

fof(f1545,plain,
    ( spl0_42
  <=> sum(additive_inverse(c),additive_identity,multiply(additive_inverse(a),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1531,plain,
    ( sum(additive_inverse(c),additive_identity,multiply(additive_inverse(a),b))
    | ~ spl0_39 ),
    inference(resolution,[],[f1426,f1209]) ).

fof(f1472,plain,
    ( spl0_41
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1461,f151,f1469]) ).

fof(f1469,plain,
    ( spl0_41
  <=> product(c,additive_inverse(additive_inverse(b)),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1461,plain,
    ( product(c,additive_inverse(additive_inverse(b)),c)
    | ~ spl0_6 ),
    inference(resolution,[],[f1416,f1094]) ).

fof(f1432,plain,
    ( spl0_40
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1419,f1277,f1429]) ).

fof(f1429,plain,
    ( spl0_40
  <=> sum(c,additive_identity,additive_inverse(multiply(additive_inverse(a),b))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1277,plain,
    ( spl0_36
  <=> sum(c,multiply(additive_inverse(a),b),additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1419,plain,
    ( sum(c,additive_identity,additive_inverse(multiply(additive_inverse(a),b)))
    | ~ spl0_36 ),
    inference(resolution,[],[f1304,f1279]) ).

fof(f1279,plain,
    ( sum(c,multiply(additive_inverse(a),b),additive_identity)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1427,plain,
    ( spl0_39
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1417,f1254,f1424]) ).

fof(f1254,plain,
    ( spl0_35
  <=> sum(multiply(additive_inverse(a),b),c,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1417,plain,
    ( sum(multiply(additive_inverse(a),b),additive_identity,additive_inverse(c))
    | ~ spl0_35 ),
    inference(resolution,[],[f1304,f1256]) ).

fof(f1256,plain,
    ( sum(multiply(additive_inverse(a),b),c,additive_identity)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1303,plain,
    ( spl0_38
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1298,f1277,f1300]) ).

fof(f1300,plain,
    ( spl0_38
  <=> additive_identity = add(c,multiply(additive_inverse(a),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1298,plain,
    ( additive_identity = add(c,multiply(additive_inverse(a),b))
    | ~ spl0_36 ),
    inference(resolution,[],[f1279,f406]) ).

fof(f1285,plain,
    ( spl0_37
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1275,f1254,f1282]) ).

fof(f1282,plain,
    ( spl0_37
  <=> additive_identity = add(multiply(additive_inverse(a),b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1275,plain,
    ( additive_identity = add(multiply(additive_inverse(a),b),c)
    | ~ spl0_35 ),
    inference(resolution,[],[f1256,f406]) ).

fof(f1280,plain,
    ( spl0_36
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1268,f1254,f1277]) ).

fof(f1268,plain,
    ( sum(c,multiply(additive_inverse(a),b),additive_identity)
    | ~ spl0_35 ),
    inference(resolution,[],[f1256,f9]) ).

fof(f1257,plain,
    ( spl0_35
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1252,f29,f1254]) ).

fof(f1252,plain,
    ( sum(multiply(additive_inverse(a),b),c,additive_identity)
    | ~ spl0_2 ),
    inference(resolution,[],[f927,f3]) ).

fof(f1026,plain,
    ( spl0_34
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1015,f801,f1023]) ).

fof(f1023,plain,
    ( spl0_34
  <=> c = multiply(c,multiply(multiply(b,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f801,plain,
    ( spl0_30
  <=> product(c,multiply(multiply(b,c),b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1015,plain,
    ( c = multiply(c,multiply(multiply(b,c),b))
    | ~ spl0_30 ),
    inference(resolution,[],[f803,f419]) ).

fof(f803,plain,
    ( product(c,multiply(multiply(b,c),b),c)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1020,plain,
    ( spl0_33
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1014,f801,f1017]) ).

fof(f1017,plain,
    ( spl0_33
  <=> product(multiply(c,multiply(multiply(b,c),b)),multiply(multiply(b,c),b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1014,plain,
    ( product(multiply(c,multiply(multiply(b,c),b)),multiply(multiply(b,c),b),c)
    | ~ spl0_30 ),
    inference(resolution,[],[f803,f94]) ).

fof(f1003,plain,
    ( spl0_32
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f992,f796,f1000]) ).

fof(f1000,plain,
    ( spl0_32
  <=> c = multiply(a,multiply(multiply(b,c),b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f796,plain,
    ( spl0_29
  <=> product(a,multiply(multiply(b,c),b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f992,plain,
    ( c = multiply(a,multiply(multiply(b,c),b))
    | ~ spl0_29 ),
    inference(resolution,[],[f798,f419]) ).

fof(f798,plain,
    ( product(a,multiply(multiply(b,c),b),c)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f997,plain,
    ( spl0_31
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f991,f796,f994]) ).

fof(f994,plain,
    ( spl0_31
  <=> product(multiply(a,multiply(multiply(b,c),b)),multiply(multiply(b,c),b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f991,plain,
    ( product(multiply(a,multiply(multiply(b,c),b)),multiply(multiply(b,c),b),c)
    | ~ spl0_29 ),
    inference(resolution,[],[f798,f94]) ).

fof(f804,plain,
    ( spl0_30
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f791,f259,f151,f801]) ).

fof(f791,plain,
    ( product(c,multiply(multiply(b,c),b),c)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(resolution,[],[f312,f261]) ).

fof(f799,plain,
    ( spl0_29
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f789,f151,f132,f796]) ).

fof(f789,plain,
    ( product(a,multiply(multiply(b,c),b),c)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(resolution,[],[f312,f134]) ).

fof(f782,plain,
    ( spl0_28
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f766,f751,f779]) ).

fof(f779,plain,
    ( spl0_28
  <=> product(multiply(multiply(c,a),c),c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f766,plain,
    ( product(multiply(multiply(c,a),c),c,c)
    | ~ spl0_25 ),
    inference(resolution,[],[f753,f94]) ).

fof(f777,plain,
    ( spl0_27
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f755,f751,f144,f774]) ).

fof(f774,plain,
    ( spl0_27
  <=> product(multiply(multiply(c,a),a),c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f755,plain,
    ( product(multiply(multiply(c,a),a),c,c)
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(resolution,[],[f753,f300]) ).

fof(f772,plain,
    ( spl0_26
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f767,f751,f769]) ).

fof(f769,plain,
    ( spl0_26
  <=> c = multiply(multiply(c,a),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f767,plain,
    ( c = multiply(multiply(c,a),c)
    | ~ spl0_25 ),
    inference(resolution,[],[f753,f419]) ).

fof(f754,plain,
    ( spl0_25
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f744,f144,f751]) ).

fof(f744,plain,
    ( product(multiply(c,a),c,c)
    | ~ spl0_5 ),
    inference(resolution,[],[f300,f20]) ).

fof(f720,plain,
    ( spl0_24
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f703,f132,f717]) ).

fof(f703,plain,
    ( c = multiply(a,multiply(b,c))
    | ~ spl0_3 ),
    inference(resolution,[],[f419,f134]) ).

fof(f715,plain,
    ( spl0_23
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f705,f259,f712]) ).

fof(f705,plain,
    ( c = multiply(c,multiply(b,c))
    | ~ spl0_12 ),
    inference(resolution,[],[f419,f261]) ).

fof(f710,plain,
    ( spl0_22
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f700,f178,f707]) ).

fof(f707,plain,
    ( spl0_22
  <=> c = multiply(multiply(c,a),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f700,plain,
    ( c = multiply(multiply(c,a),b)
    | ~ spl0_8 ),
    inference(resolution,[],[f419,f180]) ).

fof(f640,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f633,f637]) ).

fof(f637,plain,
    ( spl0_21
  <=> additive_identity = additive_inverse(additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f633,plain,
    additive_identity = additive_inverse(additive_identity),
    inference(resolution,[],[f402,f6]) ).

fof(f628,plain,
    ( spl0_20
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f623,f151,f625]) ).

fof(f625,plain,
    ( spl0_20
  <=> c = multiply(c,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f623,plain,
    ( c = multiply(c,b)
    | ~ spl0_6 ),
    inference(resolution,[],[f433,f3]) ).

fof(f433,plain,
    ( ! [X23] :
        ( ~ product(c,b,X23)
        | c = X23 )
    | ~ spl0_6 ),
    inference(resolution,[],[f17,f153]) ).

fof(f594,plain,
    ( spl0_19
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f589,f29,f591]) ).

fof(f589,plain,
    ( c = multiply(a,b)
    | ~ spl0_2 ),
    inference(resolution,[],[f427,f3]) ).

fof(f427,plain,
    ( ! [X17] :
        ( ~ product(a,b,X17)
        | c = X17 )
    | ~ spl0_2 ),
    inference(resolution,[],[f17,f31]) ).

fof(f520,plain,
    ( spl0_18
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f456,f253,f517]) ).

fof(f253,plain,
    ( spl0_11
  <=> product(c,c,multiply(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f456,plain,
    ( c = multiply(a,c)
    | ~ spl0_11 ),
    inference(resolution,[],[f418,f255]) ).

fof(f255,plain,
    ( product(c,c,multiply(a,c))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f377,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f365,f374]) ).

fof(f374,plain,
    ( spl0_17
  <=> product(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f365,plain,
    product(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
    inference(resolution,[],[f360,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ product(X0,X0,X1)
      | product(X0,X1,X0) ),
    inference(resolution,[],[f33,f20]) ).

fof(f360,plain,
    ! [X3] : product(X3,multiply(additive_identity,additive_identity),additive_identity),
    inference(resolution,[],[f53,f3]) ).

fof(f53,plain,
    ! [X2,X3] :
      ( ~ product(additive_identity,additive_identity,X2)
      | product(X3,X2,additive_identity) ),
    inference(resolution,[],[f33,f18]) ).

fof(f336,plain,
    ( spl0_16
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f324,f253,f151,f333]) ).

fof(f333,plain,
    ( spl0_16
  <=> product(c,b,multiply(a,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f324,plain,
    ( product(c,b,multiply(a,c))
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(resolution,[],[f319,f255]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ product(c,c,X0)
        | product(c,b,X0) )
    | ~ spl0_6 ),
    inference(resolution,[],[f170,f20]) ).

fof(f331,plain,
    ( spl0_15
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f326,f151,f328]) ).

fof(f328,plain,
    ( spl0_15
  <=> product(c,b,multiply(c,c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f326,plain,
    ( product(c,b,multiply(c,c))
    | ~ spl0_6 ),
    inference(resolution,[],[f319,f3]) ).

fof(f282,plain,
    ( spl0_14
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f263,f253,f144,f279]) ).

fof(f279,plain,
    ( spl0_14
  <=> product(a,multiply(a,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f263,plain,
    ( product(a,multiply(a,c),c)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f255,f166]) ).

fof(f166,plain,
    ( ! [X19] :
        ( ~ product(c,c,X19)
        | product(a,X19,c) )
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f33]) ).

fof(f277,plain,
    ( spl0_13
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f265,f253,f274]) ).

fof(f274,plain,
    ( spl0_13
  <=> product(c,multiply(a,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f265,plain,
    ( product(c,multiply(a,c),c)
    | ~ spl0_11 ),
    inference(resolution,[],[f255,f52]) ).

fof(f262,plain,
    ( spl0_12
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f257,f151,f259]) ).

fof(f257,plain,
    ( product(c,multiply(b,c),c)
    | ~ spl0_6 ),
    inference(resolution,[],[f174,f3]) ).

fof(f256,plain,
    ( spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f251,f144,f253]) ).

fof(f251,plain,
    ( product(c,c,multiply(a,c))
    | ~ spl0_5 ),
    inference(resolution,[],[f167,f3]) ).

fof(f167,plain,
    ( ! [X20] :
        ( ~ product(a,c,X20)
        | product(c,c,X20) )
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f35]) ).

fof(f242,plain,
    ( spl0_10
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f237,f144,f239]) ).

fof(f239,plain,
    ( spl0_10
  <=> product(a,multiply(c,c),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f237,plain,
    ( product(a,multiply(c,c),c)
    | ~ spl0_5 ),
    inference(resolution,[],[f166,f3]) ).

fof(f204,plain,
    ( spl0_9
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f199,f144,f29,f201]) ).

fof(f201,plain,
    ( spl0_9
  <=> product(multiply(a,a),b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f199,plain,
    ( product(multiply(a,a),b,c)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f160,f3]) ).

fof(f160,plain,
    ( ! [X0] :
        ( ~ product(a,a,X0)
        | product(X0,b,c) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f146,f36]) ).

fof(f181,plain,
    ( spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f176,f29,f178]) ).

fof(f176,plain,
    ( product(multiply(c,a),b,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f66,f3]) ).

fof(f159,plain,
    ( spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f149,f29,f156]) ).

fof(f156,plain,
    ( spl0_7
  <=> product(c,b,multiply(a,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f149,plain,
    ( product(c,b,multiply(a,b))
    | ~ spl0_2 ),
    inference(resolution,[],[f64,f3]) ).

fof(f64,plain,
    ( ! [X4] :
        ( ~ product(a,b,X4)
        | product(c,b,X4) )
    | ~ spl0_2 ),
    inference(resolution,[],[f35,f31]) ).

fof(f154,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f148,f29,f151]) ).

fof(f148,plain,
    ( product(c,b,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f64,f31]) ).

fof(f147,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f136,f29,f144]) ).

fof(f136,plain,
    ( product(a,c,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f61,f31]) ).

fof(f61,plain,
    ( ! [X0] :
        ( ~ product(a,b,X0)
        | product(a,X0,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f34,f20]) ).

fof(f34,plain,
    ( ! [X6,X4,X5] :
        ( ~ product(X4,X5,a)
        | product(X4,X6,c)
        | ~ product(X5,b,X6) )
    | ~ spl0_2 ),
    inference(resolution,[],[f10,f31]) ).

fof(f142,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f137,f29,f139]) ).

fof(f139,plain,
    ( spl0_4
  <=> product(a,multiply(a,b),c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f137,plain,
    ( product(a,multiply(a,b),c)
    | ~ spl0_2 ),
    inference(resolution,[],[f61,f3]) ).

fof(f135,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f130,f29,f132]) ).

fof(f130,plain,
    ( product(a,multiply(b,c),c)
    | ~ spl0_2 ),
    inference(resolution,[],[f54,f3]) ).

fof(f32,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f21,f29]) ).

fof(f21,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).

fof(f27,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f22,f24]) ).

fof(f22,axiom,
    ~ product(b,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : RNG008-6 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12  % 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 : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 11:42:10 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.49  % (8627)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.49  % (8643)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (8635)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  % (8634)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (8634)Instruction limit reached!
% 0.19/0.50  % (8634)------------------------------
% 0.19/0.50  % (8634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (8634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (8634)Termination reason: Unknown
% 0.19/0.50  % (8634)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (8634)Memory used [KB]: 5500
% 0.19/0.50  % (8634)Time elapsed: 0.105 s
% 0.19/0.50  % (8634)Instructions burned: 8 (million)
% 0.19/0.50  % (8634)------------------------------
% 0.19/0.50  % (8634)------------------------------
% 0.19/0.50  % (8650)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (8642)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (8633)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (8635)Instruction limit reached!
% 0.19/0.51  % (8635)------------------------------
% 0.19/0.51  % (8635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8635)Termination reason: Unknown
% 0.19/0.51  % (8635)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (8635)Memory used [KB]: 5373
% 0.19/0.51  % (8635)Time elapsed: 0.118 s
% 0.19/0.51  % (8635)Instructions burned: 3 (million)
% 0.19/0.51  % (8635)------------------------------
% 0.19/0.51  % (8635)------------------------------
% 0.19/0.51  % (8649)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (8631)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (8629)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (8632)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (8628)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (8630)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (8639)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (8637)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (8640)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (8638)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (8636)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (8641)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  TRYING [4]
% 0.19/0.53  % (8655)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (8653)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (8656)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (8654)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (8651)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (8652)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (8647)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (8648)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (8646)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (8644)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (8645)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (8628)Refutation not found, incomplete strategy% (8628)------------------------------
% 0.19/0.54  % (8628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8628)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (8628)Memory used [KB]: 5500
% 0.19/0.54  % (8628)Time elapsed: 0.130 s
% 0.19/0.54  % (8628)Instructions burned: 9 (million)
% 0.19/0.54  % (8628)------------------------------
% 0.19/0.54  % (8628)------------------------------
% 0.19/0.56  TRYING [4]
% 0.19/0.58  TRYING [4]
% 0.19/0.59  % (8629)Instruction limit reached!
% 0.19/0.59  % (8629)------------------------------
% 0.19/0.59  % (8629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (8629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (8629)Termination reason: Unknown
% 0.19/0.59  % (8629)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (8629)Memory used [KB]: 1151
% 0.19/0.59  % (8629)Time elapsed: 0.196 s
% 0.19/0.59  % (8629)Instructions burned: 38 (million)
% 0.19/0.59  % (8629)------------------------------
% 0.19/0.59  % (8629)------------------------------
% 0.19/0.60  % (8633)Instruction limit reached!
% 0.19/0.60  % (8633)------------------------------
% 0.19/0.60  % (8633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (8633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (8633)Termination reason: Unknown
% 0.19/0.60  % (8633)Termination phase: Finite model building constraint generation
% 0.19/0.60  
% 0.19/0.60  % (8633)Memory used [KB]: 8699
% 0.19/0.60  % (8633)Time elapsed: 0.145 s
% 0.19/0.60  % (8633)Instructions burned: 53 (million)
% 0.19/0.60  % (8633)------------------------------
% 0.19/0.60  % (8633)------------------------------
% 0.19/0.60  % (8631)Instruction limit reached!
% 0.19/0.60  % (8631)------------------------------
% 0.19/0.60  % (8631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (8631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (8631)Termination reason: Unknown
% 0.19/0.60  % (8631)Termination phase: Saturation
% 0.19/0.60  
% 0.19/0.60  % (8631)Memory used [KB]: 5756
% 0.19/0.60  % (8631)Time elapsed: 0.213 s
% 0.19/0.60  % (8631)Instructions burned: 51 (million)
% 0.19/0.60  % (8631)------------------------------
% 0.19/0.60  % (8631)------------------------------
% 0.19/0.60  % (8637)Instruction limit reached!
% 0.19/0.60  % (8637)------------------------------
% 0.19/0.60  % (8637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.60  % (8642)Instruction limit reached!
% 2.05/0.60  % (8642)------------------------------
% 2.05/0.60  % (8642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.60  % (8642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.60  % (8642)Termination reason: Unknown
% 2.05/0.60  % (8642)Termination phase: Saturation
% 2.05/0.60  
% 2.05/0.60  % (8642)Memory used [KB]: 1535
% 2.05/0.60  % (8642)Time elapsed: 0.204 s
% 2.05/0.60  % (8642)Instructions burned: 75 (million)
% 2.05/0.60  % (8642)------------------------------
% 2.05/0.60  % (8642)------------------------------
% 2.05/0.60  % (8636)Instruction limit reached!
% 2.05/0.60  % (8636)------------------------------
% 2.05/0.60  % (8636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.60  % (8636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.60  % (8636)Termination reason: Unknown
% 2.05/0.60  % (8636)Termination phase: Saturation
% 2.05/0.60  
% 2.05/0.60  % (8636)Memory used [KB]: 1279
% 2.05/0.60  % (8636)Time elapsed: 0.190 s
% 2.05/0.60  % (8636)Instructions burned: 51 (million)
% 2.05/0.60  % (8636)------------------------------
% 2.05/0.60  % (8636)------------------------------
% 2.05/0.61  % (8644)Instruction limit reached!
% 2.05/0.61  % (8644)------------------------------
% 2.05/0.61  % (8644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (8644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (8644)Termination reason: Unknown
% 2.05/0.61  % (8644)Termination phase: Finite model building constraint generation
% 2.05/0.61  
% 2.05/0.61  % (8644)Memory used [KB]: 8955
% 2.05/0.61  % (8644)Time elapsed: 0.206 s
% 2.05/0.61  % (8644)Instructions burned: 60 (million)
% 2.05/0.61  % (8644)------------------------------
% 2.05/0.61  % (8644)------------------------------
% 2.22/0.62  % (8637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.62  % (8637)Termination reason: Unknown
% 2.22/0.62  % (8637)Termination phase: Saturation
% 2.22/0.62  
% 2.22/0.62  % (8637)Memory used [KB]: 6140
% 2.22/0.62  % (8637)Time elapsed: 0.199 s
% 2.22/0.62  % (8637)Instructions burned: 51 (million)
% 2.22/0.62  % (8637)------------------------------
% 2.22/0.62  % (8637)------------------------------
% 2.25/0.63  % (8630)Instruction limit reached!
% 2.25/0.63  % (8630)------------------------------
% 2.25/0.63  % (8630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (8630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (8630)Termination reason: Unknown
% 2.25/0.63  % (8630)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (8630)Memory used [KB]: 6012
% 2.25/0.63  % (8630)Time elapsed: 0.237 s
% 2.25/0.63  % (8630)Instructions burned: 52 (million)
% 2.25/0.63  % (8630)------------------------------
% 2.25/0.63  % (8630)------------------------------
% 2.25/0.63  % (8632)Instruction limit reached!
% 2.25/0.63  % (8632)------------------------------
% 2.25/0.63  % (8632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (8632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (8632)Termination reason: Unknown
% 2.25/0.63  % (8632)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (8632)Memory used [KB]: 6012
% 2.25/0.63  % (8632)Time elapsed: 0.238 s
% 2.25/0.63  % (8632)Instructions burned: 49 (million)
% 2.25/0.63  % (8632)------------------------------
% 2.25/0.63  % (8632)------------------------------
% 2.25/0.63  % (8653)Instruction limit reached!
% 2.25/0.63  % (8653)------------------------------
% 2.25/0.63  % (8653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (8653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (8653)Termination reason: Unknown
% 2.25/0.63  % (8653)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (8653)Memory used [KB]: 6140
% 2.25/0.63  % (8653)Time elapsed: 0.033 s
% 2.25/0.63  % (8653)Instructions burned: 68 (million)
% 2.25/0.63  % (8653)------------------------------
% 2.25/0.63  % (8653)------------------------------
% 2.25/0.63  % (8641)Instruction limit reached!
% 2.25/0.63  % (8641)------------------------------
% 2.25/0.63  % (8641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (8641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (8641)Termination reason: Unknown
% 2.25/0.63  % (8641)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (8641)Memory used [KB]: 6140
% 2.25/0.63  % (8641)Time elapsed: 0.034 s
% 2.25/0.63  % (8641)Instructions burned: 70 (million)
% 2.25/0.63  % (8641)------------------------------
% 2.25/0.63  % (8641)------------------------------
% 2.25/0.63  % (8657)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 (2998ds/388Mi)
% 2.25/0.65  % (8658)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 (2998ds/211Mi)
% 2.25/0.67  % (8646)Instruction limit reached!
% 2.25/0.67  % (8646)------------------------------
% 2.25/0.67  % (8646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.67  % (8646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.67  % (8646)Termination reason: Unknown
% 2.25/0.67  % (8646)Termination phase: Saturation
% 2.25/0.67  
% 2.25/0.67  % (8646)Memory used [KB]: 1279
% 2.25/0.67  % (8646)Time elapsed: 0.249 s
% 2.25/0.67  % (8646)Instructions burned: 103 (million)
% 2.25/0.67  % (8646)------------------------------
% 2.25/0.67  % (8646)------------------------------
% 2.25/0.68  % (8643)Instruction limit reached!
% 2.25/0.68  % (8643)------------------------------
% 2.25/0.68  % (8643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (8643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (8643)Termination reason: Unknown
% 2.25/0.68  % (8643)Termination phase: Saturation
% 2.25/0.68  
% 2.25/0.68  % (8643)Memory used [KB]: 6396
% 2.25/0.68  % (8643)Time elapsed: 0.288 s
% 2.25/0.68  % (8643)Instructions burned: 100 (million)
% 2.25/0.68  % (8643)------------------------------
% 2.25/0.68  % (8643)------------------------------
% 2.25/0.68  % (8638)Instruction limit reached!
% 2.25/0.68  % (8638)------------------------------
% 2.25/0.68  % (8638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (8638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (8638)Termination reason: Unknown
% 2.25/0.68  % (8638)Termination phase: Saturation
% 2.25/0.68  
% 2.25/0.68  % (8638)Memory used [KB]: 6652
% 2.25/0.68  % (8638)Time elapsed: 0.275 s
% 2.25/0.68  % (8638)Instructions burned: 100 (million)
% 2.25/0.68  % (8638)------------------------------
% 2.25/0.68  % (8638)------------------------------
% 2.25/0.68  % (8640)Instruction limit reached!
% 2.25/0.68  % (8640)------------------------------
% 2.25/0.68  % (8640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (8640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (8640)Termination reason: Unknown
% 2.25/0.68  % (8640)Termination phase: Saturation
% 2.25/0.68  
% 2.25/0.68  % (8640)Memory used [KB]: 6140
% 2.25/0.68  % (8640)Time elapsed: 0.274 s
% 2.25/0.68  % (8640)Instructions burned: 100 (million)
% 2.25/0.68  % (8640)------------------------------
% 2.25/0.68  % (8640)------------------------------
% 2.25/0.68  % (8645)Instruction limit reached!
% 2.25/0.68  % (8645)------------------------------
% 2.25/0.68  % (8645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (8645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (8645)Termination reason: Unknown
% 2.25/0.68  % (8645)Termination phase: Saturation
% 2.25/0.68  
% 2.25/0.68  % (8645)Memory used [KB]: 6012
% 2.25/0.68  % (8645)Time elapsed: 0.301 s
% 2.25/0.68  % (8645)Instructions burned: 100 (million)
% 2.25/0.68  % (8645)------------------------------
% 2.25/0.68  % (8645)------------------------------
% 2.25/0.69  % (8639)Instruction limit reached!
% 2.25/0.69  % (8639)------------------------------
% 2.25/0.69  % (8639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.69  % (8639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.69  % (8639)Termination reason: Unknown
% 2.25/0.69  % (8639)Termination phase: Saturation
% 2.25/0.69  
% 2.25/0.69  % (8639)Memory used [KB]: 6268
% 2.25/0.69  % (8639)Time elapsed: 0.297 s
% 2.25/0.69  % (8639)Instructions burned: 101 (million)
% 2.25/0.69  % (8639)------------------------------
% 2.25/0.69  % (8639)------------------------------
% 2.25/0.69  TRYING [5]
% 2.25/0.70  % (8659)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.74/0.72  % (8660)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.74/0.72  % (8661)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.74/0.73  % (8662)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 (2997ds/747Mi)
% 2.74/0.74  % (8664)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 (2997ds/68Mi)
% 2.74/0.75  % (8663)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 (2997ds/655Mi)
% 2.74/0.76  % (8668)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 (2997ds/2016Mi)
% 2.74/0.76  % (8669)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.74/0.77  % (8670)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 (2997ds/4958Mi)
% 2.74/0.77  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.74/0.77  % (8667)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.74/0.77  % (8665)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 (2997ds/940Mi)
% 2.74/0.77  % (8666)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 (2997ds/981Mi)
% 3.00/0.81  % (8648)Instruction limit reached!
% 3.00/0.81  % (8648)------------------------------
% 3.00/0.81  % (8648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.81  % (8648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.81  % (8648)Termination reason: Unknown
% 3.00/0.81  % (8648)Termination phase: Saturation
% 3.00/0.81  
% 3.00/0.81  % (8648)Memory used [KB]: 7291
% 3.00/0.81  % (8648)Time elapsed: 0.423 s
% 3.00/0.81  % (8648)Instructions burned: 139 (million)
% 3.00/0.81  % (8648)------------------------------
% 3.00/0.81  % (8648)------------------------------
% 3.00/0.81  % (8647)Instruction limit reached!
% 3.00/0.81  % (8647)------------------------------
% 3.00/0.81  % (8647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.81  % (8647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.81  % (8647)Termination reason: Unknown
% 3.00/0.81  % (8647)Termination phase: Saturation
% 3.00/0.81  
% 3.00/0.81  % (8647)Memory used [KB]: 6012
% 3.00/0.81  % (8647)Time elapsed: 0.425 s
% 3.00/0.81  % (8647)Instructions burned: 176 (million)
% 3.00/0.81  % (8647)------------------------------
% 3.00/0.81  % (8647)------------------------------
% 3.00/0.81  % (8671)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.00/0.82  % (8672)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.00/0.82  % (8654)Instruction limit reached!
% 3.00/0.82  % (8654)------------------------------
% 3.00/0.82  % (8654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.82  % (8654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.82  % (8654)Termination reason: Unknown
% 3.00/0.82  % (8654)Termination phase: Saturation
% 3.00/0.82  
% 3.00/0.82  % (8654)Memory used [KB]: 2174
% 3.00/0.82  % (8654)Time elapsed: 0.431 s
% 3.00/0.82  % (8654)Instructions burned: 177 (million)
% 3.00/0.82  % (8654)------------------------------
% 3.00/0.82  % (8654)------------------------------
% 3.00/0.82  % (8674)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)
% 3.00/0.82  % (8673)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 (2996ds/4931Mi)
% 3.00/0.82  % (8676)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 (2996ds/2134Mi)
% 3.00/0.84  % (8675)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 (2996ds/1824Mi)
% 3.00/0.85  % (8659)Instruction limit reached!
% 3.00/0.85  % (8659)------------------------------
% 3.00/0.85  % (8659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.85  % (8659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.85  % (8659)Termination reason: Unknown
% 3.00/0.85  % (8659)Termination phase: Saturation
% 3.00/0.85  
% 3.00/0.85  % (8659)Memory used [KB]: 6140
% 3.00/0.85  % (8659)Time elapsed: 0.251 s
% 3.00/0.85  % (8659)Instructions burned: 91 (million)
% 3.00/0.85  % (8659)------------------------------
% 3.00/0.85  % (8659)------------------------------
% 3.34/0.87  % (8664)Instruction limit reached!
% 3.34/0.87  % (8664)------------------------------
% 3.34/0.87  % (8664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.87  % (8664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.87  % (8664)Termination reason: Unknown
% 3.34/0.87  % (8664)Termination phase: Saturation
% 3.34/0.87  
% 3.34/0.87  % (8664)Memory used [KB]: 6140
% 3.34/0.87  % (8664)Time elapsed: 0.032 s
% 3.34/0.87  % (8664)Instructions burned: 68 (million)
% 3.34/0.87  % (8664)------------------------------
% 3.34/0.87  % (8664)------------------------------
% 3.57/0.93  % (8674)Instruction limit reached!
% 3.57/0.93  % (8674)------------------------------
% 3.57/0.93  % (8674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.93  % (8674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.93  % (8674)Termination reason: Unknown
% 3.57/0.93  % (8674)Termination phase: Saturation
% 3.57/0.93  
% 3.57/0.93  % (8674)Memory used [KB]: 6140
% 3.57/0.93  % (8674)Time elapsed: 0.032 s
% 3.57/0.93  % (8674)Instructions burned: 69 (million)
% 3.57/0.93  % (8674)------------------------------
% 3.57/0.93  % (8674)------------------------------
% 3.57/0.93  % (8667)Instruction limit reached!
% 3.57/0.93  % (8667)------------------------------
% 3.57/0.93  % (8667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.93  % (8667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.93  % (8667)Termination reason: Unknown
% 3.57/0.93  % (8667)Termination phase: Saturation
% 3.57/0.93  
% 3.57/0.93  % (8667)Memory used [KB]: 6012
% 3.57/0.93  % (8667)Time elapsed: 0.261 s
% 3.57/0.93  % (8667)Instructions burned: 91 (million)
% 3.57/0.93  % (8667)------------------------------
% 3.57/0.93  % (8667)------------------------------
% 3.57/0.95  % (8677)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.57/0.95  % (8679)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.57/0.96  % (8678)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.57/0.97  % (8658)Instruction limit reached!
% 3.57/0.97  % (8658)------------------------------
% 3.57/0.97  % (8658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.97  % (8658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.97  % (8658)Termination reason: Unknown
% 3.57/0.97  % (8658)Termination phase: Saturation
% 3.57/0.97  
% 3.57/0.97  % (8658)Memory used [KB]: 1918
% 3.57/0.97  % (8658)Time elapsed: 0.376 s
% 3.57/0.97  % (8658)Instructions burned: 211 (million)
% 3.57/0.97  % (8658)------------------------------
% 3.57/0.97  % (8658)------------------------------
% 3.57/0.99  % (8680)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.92/1.01  % (8681)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.92/1.07  % (8682)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 (2994ds/9965Mi)
% 3.92/1.07  % (8650)Instruction limit reached!
% 3.92/1.07  % (8650)------------------------------
% 3.92/1.07  % (8650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.92/1.07  % (8650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.92/1.07  % (8650)Termination reason: Unknown
% 3.92/1.07  % (8650)Termination phase: Saturation
% 3.92/1.07  
% 3.92/1.07  % (8650)Memory used [KB]: 7164
% 3.92/1.07  % (8650)Time elapsed: 0.672 s
% 3.92/1.07  % (8650)Instructions burned: 467 (million)
% 3.92/1.07  % (8650)------------------------------
% 3.92/1.07  % (8650)------------------------------
% 4.10/1.08  % (8683)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 4.10/1.10  % (8679)Instruction limit reached!
% 4.10/1.10  % (8679)------------------------------
% 4.10/1.10  % (8679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.10/1.10  % (8679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.10/1.10  % (8679)Termination reason: Unknown
% 4.10/1.10  % (8679)Termination phase: Saturation
% 4.10/1.10  
% 4.10/1.10  % (8679)Memory used [KB]: 6012
% 4.10/1.10  % (8679)Time elapsed: 0.255 s
% 4.10/1.10  % (8679)Instructions burned: 90 (million)
% 4.10/1.10  % (8679)------------------------------
% 4.10/1.10  % (8679)------------------------------
% 4.10/1.10  % (8684)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)
% 4.10/1.17  % (8656)Instruction limit reached!
% 4.10/1.17  % (8656)------------------------------
% 4.10/1.17  % (8656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.10/1.17  % (8656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.10/1.17  % (8656)Termination reason: Unknown
% 4.10/1.17  % (8656)Termination phase: Saturation
% 4.10/1.17  
% 4.10/1.17  % (8656)Memory used [KB]: 8827
% 4.10/1.17  % (8656)Time elapsed: 0.765 s
% 4.10/1.17  % (8656)Instructions burned: 355 (million)
% 4.10/1.17  % (8656)------------------------------
% 4.10/1.17  % (8656)------------------------------
% 6.86/1.20  % (8685)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 7.05/1.24  % (8686)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 7.05/1.25  % (8655)Instruction limit reached!
% 7.05/1.25  % (8655)------------------------------
% 7.05/1.25  % (8655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.25  % (8655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.25  % (8655)Termination reason: Unknown
% 7.05/1.25  % (8655)Termination phase: Saturation
% 7.05/1.25  
% 7.05/1.25  % (8655)Memory used [KB]: 7931
% 7.05/1.25  % (8655)Time elapsed: 0.845 s
% 7.05/1.25  % (8655)Instructions burned: 439 (million)
% 7.05/1.25  % (8655)------------------------------
% 7.05/1.25  % (8655)------------------------------
% 7.05/1.25  TRYING [6]
% 7.05/1.30  % (8652)Instruction limit reached!
% 7.05/1.30  % (8652)------------------------------
% 7.05/1.30  % (8652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.30  % (8652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.30  % (8652)Termination reason: Unknown
% 7.05/1.30  % (8652)Termination phase: Saturation
% 7.05/1.30  
% 7.05/1.30  % (8652)Memory used [KB]: 7164
% 7.05/1.30  % (8652)Time elapsed: 0.899 s
% 7.05/1.30  % (8652)Instructions burned: 500 (million)
% 7.05/1.30  % (8652)------------------------------
% 7.05/1.30  % (8652)------------------------------
% 7.05/1.32  % (8687)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.05/1.32  % (8657)Instruction limit reached!
% 7.05/1.32  % (8657)------------------------------
% 7.05/1.32  % (8657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.32  % (8657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.32  % (8657)Termination reason: Unknown
% 7.05/1.32  % (8657)Termination phase: Saturation
% 7.05/1.32  
% 7.05/1.32  % (8657)Memory used [KB]: 8571
% 7.05/1.32  % (8657)Time elapsed: 0.783 s
% 7.05/1.32  % (8657)Instructions burned: 390 (million)
% 7.05/1.32  % (8657)------------------------------
% 7.05/1.32  % (8657)------------------------------
% 7.77/1.35  % (8651)Instruction limit reached!
% 7.77/1.35  % (8651)------------------------------
% 7.77/1.35  % (8651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.77/1.35  % (8651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.77/1.35  % (8651)Termination reason: Unknown
% 7.77/1.35  % (8651)Termination phase: Saturation
% 7.77/1.35  
% 7.77/1.35  % (8651)Memory used [KB]: 7675
% 7.77/1.35  % (8651)Time elapsed: 0.931 s
% 7.77/1.35  % (8651)Instructions burned: 483 (million)
% 7.77/1.35  % (8651)------------------------------
% 7.77/1.35  % (8651)------------------------------
% 7.77/1.38  % (8649)Instruction limit reached!
% 7.77/1.38  % (8649)------------------------------
% 7.77/1.38  % (8649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.77/1.38  % (8649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.77/1.38  % (8649)Termination reason: Unknown
% 7.77/1.38  % (8649)Termination phase: Saturation
% 7.77/1.38  
% 7.77/1.38  % (8649)Memory used [KB]: 3198
% 7.77/1.38  % (8649)Time elapsed: 0.924 s
% 7.77/1.38  % (8649)Instructions burned: 499 (million)
% 7.77/1.38  % (8649)------------------------------
% 7.77/1.38  % (8649)------------------------------
% 7.77/1.39  % (8688)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 (2990ds/90Mi)
% 8.28/1.42  % (8689)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 (2990ds/44001Mi)
% 8.28/1.46  % (8690)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 (2990ds/4958Mi)
% 8.80/1.49  % (8691)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)
% 8.99/1.51  % (8692)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 9.13/1.53  % (8688)Instruction limit reached!
% 9.13/1.53  % (8688)------------------------------
% 9.13/1.53  % (8688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.13/1.53  % (8688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.13/1.53  % (8688)Termination reason: Unknown
% 9.13/1.53  % (8688)Termination phase: Saturation
% 9.13/1.53  
% 9.13/1.53  % (8688)Memory used [KB]: 6140
% 9.13/1.53  % (8688)Time elapsed: 0.248 s
% 9.13/1.53  % (8688)Instructions burned: 90 (million)
% 9.13/1.53  % (8688)------------------------------
% 9.13/1.53  % (8688)------------------------------
% 9.83/1.69  % (8693)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 (2988ds/37001Mi)
% 10.27/1.70  % (8663)Instruction limit reached!
% 10.27/1.70  % (8663)------------------------------
% 10.27/1.70  % (8663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.27/1.70  % (8663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.27/1.70  % (8663)Termination reason: Unknown
% 10.27/1.70  % (8663)Termination phase: Saturation
% 10.27/1.70  
% 10.27/1.70  % (8663)Memory used [KB]: 3454
% 10.27/1.70  % (8663)Time elapsed: 1.030 s
% 10.27/1.70  % (8663)Instructions burned: 655 (million)
% 10.27/1.70  % (8663)------------------------------
% 10.27/1.70  % (8663)------------------------------
% 11.66/1.83  % (8661)Instruction limit reached!
% 11.66/1.83  % (8661)------------------------------
% 11.66/1.83  % (8661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.77/1.83  % (8661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.77/1.83  % (8661)Termination reason: Unknown
% 11.77/1.83  % (8661)Termination phase: Saturation
% 11.77/1.83  
% 11.77/1.83  % (8661)Memory used [KB]: 10234
% 11.77/1.83  % (8661)Time elapsed: 1.124 s
% 11.77/1.83  % (8661)Instructions burned: 935 (million)
% 11.77/1.83  % (8661)------------------------------
% 11.77/1.83  % (8661)------------------------------
% 11.77/1.88  % (8662)Instruction limit reached!
% 11.77/1.88  % (8662)------------------------------
% 11.77/1.88  % (8662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.77/1.88  % (8662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.77/1.88  % (8662)Termination reason: Unknown
% 11.77/1.88  % (8662)Termination phase: Saturation
% 11.77/1.88  
% 11.77/1.88  % (8662)Memory used [KB]: 9338
% 11.77/1.88  % (8662)Time elapsed: 1.214 s
% 11.77/1.88  % (8662)Instructions burned: 747 (million)
% 11.77/1.88  % (8662)------------------------------
% 11.77/1.88  % (8662)------------------------------
% 11.77/1.88  % (8694)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/10187Mi)
% 12.44/1.96  % (8695)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 (2985ds/29337Mi)
% 12.94/2.02  % (8696)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 (2984ds/10147Mi)
% 13.99/2.16  % (8660)Instruction limit reached!
% 13.99/2.16  % (8660)------------------------------
% 13.99/2.16  % (8660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.99/2.16  % (8660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.99/2.16  % (8660)Termination reason: Unknown
% 13.99/2.16  % (8660)Termination phase: Saturation
% 13.99/2.16  
% 13.99/2.16  % (8660)Memory used [KB]: 9850
% 13.99/2.16  % (8660)Time elapsed: 1.523 s
% 13.99/2.16  % (8660)Instructions burned: 920 (million)
% 13.99/2.16  % (8660)------------------------------
% 13.99/2.16  % (8660)------------------------------
% 15.46/2.30  % (8697)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/38056Mi)
% 15.46/2.33  TRYING [1]
% 15.46/2.33  TRYING [2]
% 15.46/2.33  TRYING [3]
% 15.46/2.35  % (8665)Instruction limit reached!
% 15.46/2.35  % (8665)------------------------------
% 15.46/2.35  % (8665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.46/2.35  % (8665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.46/2.35  % (8665)Termination reason: Unknown
% 15.46/2.35  % (8665)Termination phase: Saturation
% 15.46/2.35  
% 15.46/2.35  % (8665)Memory used [KB]: 12409
% 15.46/2.35  % (8665)Time elapsed: 1.708 s
% 15.46/2.35  % (8665)Instructions burned: 941 (million)
% 15.46/2.35  % (8665)------------------------------
% 15.46/2.35  % (8665)------------------------------
% 15.46/2.36  TRYING [4]
% 16.25/2.39  % (8666)Instruction limit reached!
% 16.25/2.39  % (8666)------------------------------
% 16.25/2.39  % (8666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.25/2.39  % (8666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.25/2.39  % (8666)Termination reason: Unknown
% 16.25/2.39  % (8666)Termination phase: Saturation
% 16.25/2.39  
% 16.25/2.39  % (8666)Memory used [KB]: 14967
% 16.25/2.39  % (8666)Time elapsed: 1.641 s
% 16.25/2.39  % (8666)Instructions burned: 983 (million)
% 16.25/2.39  % (8666)------------------------------
% 16.25/2.39  % (8666)------------------------------
% 17.11/2.52  TRYING [5]
% 17.11/2.56  % (8699)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/20987Mi)
% 17.11/2.56  % (8698)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 (2979ds/33239Mi)
% 17.11/2.57  TRYING [1]
% 17.11/2.57  TRYING [2]
% 17.11/2.57  TRYING [3]
% 17.11/2.58  TRYING [1]
% 17.11/2.58  TRYING [2]
% 17.11/2.58  TRYING [3]
% 17.70/2.61  TRYING [4]
% 17.70/2.62  TRYING [4]
% 18.71/2.80  TRYING [5]
% 18.71/2.81  TRYING [5]
% 21.17/3.08  TRYING [6]
% 21.17/3.08  TRYING [7]
% 23.59/3.35  % (8682)First to succeed.
% 23.59/3.41  % (8682)Refutation found. Thanks to Tanya!
% 23.59/3.41  % SZS status Unsatisfiable for theBenchmark
% 23.59/3.41  % SZS output start Proof for theBenchmark
% See solution above
% 23.80/3.43  % (8682)------------------------------
% 23.80/3.43  % (8682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.80/3.43  % (8682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.80/3.43  % (8682)Termination reason: Refutation
% 23.80/3.43  
% 23.80/3.43  % (8682)Memory used [KB]: 7291
% 23.80/3.43  % (8682)Time elapsed: 2.407 s
% 23.80/3.43  % (8682)Instructions burned: 1564 (million)
% 23.80/3.43  % (8682)------------------------------
% 23.80/3.43  % (8682)------------------------------
% 23.80/3.43  % (8626)Success in time 3.078 s
%------------------------------------------------------------------------------