TSTP Solution File: NUM375+1.015 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:18:52 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   34
% Syntax   : Number of formulae    : 3354 ( 306 unt;   0 def)
%            Number of atoms       : 10728 (4662 equ)
%            Maximal formula atoms :  914 (   3 avg)
%            Number of connectives : 13663 (6289   ~;5637   |;1704   &)
%                                         (  32 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  431 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   34 (  32 usr;  33 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  19 con; 0-2 aty)
%            Number of variables   :    6 (   0   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6730,plain,
    $false,
    inference(avatar_sat_refutation,[],[f495,f576,f587,f597,f609,f619,f632,f642,f656,f666,f682,f691,f708,f717,f735,f744,f763,f772,f792,f801,f822,f831,f853,f862,f885,f894,f918,f927,f952,f961,f987,f996,f1023,f1032,f1046,f1060,f1075,f1091,f1108,f1126,f1145,f1165,f1186,f1208,f1231,f1255,f1280,f1306,f1331,f1372,f1396,f1421,f1446,f1470,f1493,f1515,f1538,f1560,f1584,f1607,f1629,f1653,f1676,f1699,f1740,f1764,f1787,f1813,f1838,f1863,f1887,f1911,f1935,f1958,f1982,f2006,f2030,f2053,f2093,f2116,f2140,f2163,f2187,f2210,f2233,f2256,f2278,f2300,f2321,f2342,f2364,f2388,f2427,f2452,f2477,f2501,f2526,f2550,f2574,f2597,f2621,f2644,f2668,f2691,f2714,f2753,f2775,f2798,f2822,f2845,f2867,f2888,f2908,f2929,f2950,f2970,f2992,f3013,f3049,f3073,f3095,f3118,f3142,f3165,f3188,f3210,f3233,f3255,f3278,f3300,f3336,f3357,f3377,f3396,f3414,f3437,f3461,f3484,f3506,f3528,f3550,f3571,f3594,f3615,f3636,f3659,f3681,f3702,f3726,f3749,f3772,f3795,f3817,f3855,f3878,f3900,f3922,f3943,f3964,f3985,f4005,f4025,f4045,f4069,f4108,f4132,f4154,f4175,f4199,f4222,f4244,f4265,f4288,f4310,f4337,f4360,f4382,f4403,f4424,f4444,f4468,f4491,f4514,f4537,f4575,f4598,f4620,f4644,f4667,f4690,f4712,f4734,f4756,f4794,f4818,f4841,f4863,f4886,f4908,f4929,f4951,f4972,f5009,f5031,f5052,f5073,f5093,f5113,f5137,f5160,f5196,f5218,f5241,f5263,f5287,f5310,f5333,f5355,f5394,f5415,f5438,f5460,f5484,f5507,f5530,f5568,f5589,f5611,f5632,f5656,f5679,f5702,f5742,f5764,f5784,f5804,f5825,f5849,f5874,f5896,f5919,f5941,f5962,f5983,f6019,f6042,f6063,f6084,f6107,f6131,f6153,f6176,f6198,f6220,f6243,f6264,f6284,f6306,f6343,f6365,f6387,f6410,f6448,f6471,f6492,f6518,f6541,f6563,f6585,f6607,f6644,f6667,f6706,f6729]) ).

fof(f6729,plain,
    ( ~ spl3_5
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6728]) ).

fof(f6728,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6727,f306]) ).

fof(f306,plain,
    n11 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,plain,
    ( n14 != n15
    & n13 != n15
    & n13 != n14
    & n12 != n15
    & n12 != n14
    & n12 != n13
    & n11 != n15
    & n11 != n14
    & n11 != n13
    & n11 != n12
    & n10 != n15
    & n10 != n14
    & n10 != n13
    & n10 != n12
    & n10 != n11
    & n9 != n15
    & n9 != n14
    & n9 != n13
    & n9 != n12
    & n9 != n11
    & n9 != n10
    & n8 != n15
    & n8 != n14
    & n8 != n13
    & n8 != n12
    & n8 != n11
    & n8 != n10
    & n8 != n9
    & n7 != n15
    & n7 != n14
    & n7 != n13
    & n7 != n12
    & n7 != n11
    & n7 != n10
    & n7 != n9
    & n7 != n8
    & n6 != n15
    & n6 != n14
    & n6 != n13
    & n6 != n12
    & n6 != n11
    & n6 != n10
    & n6 != n9
    & n6 != n8
    & n6 != n7
    & n5 != n15
    & n5 != n14
    & n5 != n13
    & n5 != n12
    & n5 != n11
    & n5 != n10
    & n5 != n9
    & n5 != n8
    & n5 != n7
    & n5 != n6
    & n4 != n15
    & n4 != n14
    & n4 != n13
    & n4 != n12
    & n4 != n11
    & n4 != n10
    & n4 != n9
    & n4 != n8
    & n4 != n7
    & n4 != n6
    & n4 != n5
    & n3 != n15
    & n3 != n14
    & n3 != n13
    & n3 != n12
    & n3 != n11
    & n3 != n10
    & n3 != n9
    & n3 != n8
    & n3 != n7
    & n3 != n6
    & n3 != n5
    & n3 != n4
    & n2 != n15
    & n2 != n14
    & n2 != n13
    & n2 != n12
    & n2 != n11
    & n2 != n10
    & n2 != n9
    & n2 != n8
    & n2 != n7
    & n2 != n6
    & n2 != n5
    & n2 != n4
    & n2 != n3
    & n1 != n15
    & n1 != n14
    & n1 != n13
    & n1 != n12
    & n1 != n11
    & n1 != n10
    & n1 != n9
    & n1 != n8
    & n1 != n7
    & n1 != n6
    & n1 != n5
    & n1 != n4
    & n1 != n3
    & n1 != n2
    & n0 != n15
    & n0 != n14
    & n0 != n13
    & n0 != n12
    & n0 != n11
    & n0 != n10
    & n0 != n9
    & n0 != n8
    & n0 != n7
    & n0 != n6
    & n0 != n5
    & n0 != n4
    & n0 != n3
    & n0 != n2
    & n0 != n1
    & n15 != sK2
    & n14 != sK2
    & n13 != sK2
    & n12 != sK2
    & n11 != sK2
    & n10 != sK2
    & n9 != sK2
    & n8 != sK2
    & n7 != sK2
    & n6 != sK2
    & n5 != sK2
    & n4 != sK2
    & n3 != sK2
    & n2 != sK2
    & n1 != sK2
    & n0 != sK2
    & sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
    & ( n15 = sK1
      | n14 = sK1
      | n13 = sK1
      | n12 = sK1
      | n11 = sK1
      | n10 = sK1
      | n9 = sK1
      | n8 = sK1
      | n7 = sK1
      | n6 = sK1
      | n5 = sK1
      | n4 = sK1
      | n3 = sK1
      | n2 = sK1
      | n1 = sK1
      | n0 = sK1 )
    & ( n15 = sK0
      | n14 = sK0
      | n13 = sK0
      | n12 = sK0
      | n11 = sK0
      | n10 = sK0
      | n9 = sK0
      | n8 = sK0
      | n7 = sK0
      | n6 = sK0
      | n5 = sK0
      | n4 = sK0
      | n3 = sK0
      | n2 = sK0
      | n1 = sK0
      | n0 = sK0 )
    & n14 = sum(n15,n15)
    & n13 = sum(n15,n14)
    & n12 = sum(n15,n13)
    & n11 = sum(n15,n12)
    & n10 = sum(n15,n11)
    & n9 = sum(n15,n10)
    & n8 = sum(n15,n9)
    & n7 = sum(n15,n8)
    & n6 = sum(n15,n7)
    & n5 = sum(n15,n6)
    & n4 = sum(n15,n5)
    & n3 = sum(n15,n4)
    & n2 = sum(n15,n3)
    & n1 = sum(n15,n2)
    & n0 = sum(n15,n1)
    & n15 = sum(n15,n0)
    & n13 = sum(n14,n15)
    & n12 = sum(n14,n14)
    & n11 = sum(n14,n13)
    & n10 = sum(n14,n12)
    & n9 = sum(n14,n11)
    & n8 = sum(n14,n10)
    & n7 = sum(n14,n9)
    & n6 = sum(n14,n8)
    & n5 = sum(n14,n7)
    & n4 = sum(n14,n6)
    & n3 = sum(n14,n5)
    & n2 = sum(n14,n4)
    & n1 = sum(n14,n3)
    & n0 = sum(n14,n2)
    & n15 = sum(n14,n1)
    & n14 = sum(n14,n0)
    & n12 = sum(n13,n15)
    & n11 = sum(n13,n14)
    & n10 = sum(n13,n13)
    & n9 = sum(n13,n12)
    & n8 = sum(n13,n11)
    & n7 = sum(n13,n10)
    & n6 = sum(n13,n9)
    & n5 = sum(n13,n8)
    & n4 = sum(n13,n7)
    & n3 = sum(n13,n6)
    & n2 = sum(n13,n5)
    & n1 = sum(n13,n4)
    & n0 = sum(n13,n3)
    & n15 = sum(n13,n2)
    & n14 = sum(n13,n1)
    & n13 = sum(n13,n0)
    & n11 = sum(n12,n15)
    & n10 = sum(n12,n14)
    & n9 = sum(n12,n13)
    & n8 = sum(n12,n12)
    & n7 = sum(n12,n11)
    & n6 = sum(n12,n10)
    & n5 = sum(n12,n9)
    & n4 = sum(n12,n8)
    & n3 = sum(n12,n7)
    & n2 = sum(n12,n6)
    & n1 = sum(n12,n5)
    & n0 = sum(n12,n4)
    & n15 = sum(n12,n3)
    & n14 = sum(n12,n2)
    & n13 = sum(n12,n1)
    & n12 = sum(n12,n0)
    & n10 = sum(n11,n15)
    & n9 = sum(n11,n14)
    & n8 = sum(n11,n13)
    & n7 = sum(n11,n12)
    & n6 = sum(n11,n11)
    & n5 = sum(n11,n10)
    & n4 = sum(n11,n9)
    & n3 = sum(n11,n8)
    & n2 = sum(n11,n7)
    & n1 = sum(n11,n6)
    & n0 = sum(n11,n5)
    & n15 = sum(n11,n4)
    & n14 = sum(n11,n3)
    & n13 = sum(n11,n2)
    & n12 = sum(n11,n1)
    & n11 = sum(n11,n0)
    & n9 = sum(n10,n15)
    & n8 = sum(n10,n14)
    & n7 = sum(n10,n13)
    & n6 = sum(n10,n12)
    & n5 = sum(n10,n11)
    & n4 = sum(n10,n10)
    & n3 = sum(n10,n9)
    & n2 = sum(n10,n8)
    & n1 = sum(n10,n7)
    & n0 = sum(n10,n6)
    & n15 = sum(n10,n5)
    & n14 = sum(n10,n4)
    & n13 = sum(n10,n3)
    & n12 = sum(n10,n2)
    & n11 = sum(n10,n1)
    & n10 = sum(n10,n0)
    & n8 = sum(n9,n15)
    & n7 = sum(n9,n14)
    & n6 = sum(n9,n13)
    & n5 = sum(n9,n12)
    & n4 = sum(n9,n11)
    & n3 = sum(n9,n10)
    & n2 = sum(n9,n9)
    & n1 = sum(n9,n8)
    & n0 = sum(n9,n7)
    & n15 = sum(n9,n6)
    & n14 = sum(n9,n5)
    & n13 = sum(n9,n4)
    & n12 = sum(n9,n3)
    & n11 = sum(n9,n2)
    & n10 = sum(n9,n1)
    & n9 = sum(n9,n0)
    & n7 = sum(n8,n15)
    & n6 = sum(n8,n14)
    & n5 = sum(n8,n13)
    & n4 = sum(n8,n12)
    & n3 = sum(n8,n11)
    & n2 = sum(n8,n10)
    & n1 = sum(n8,n9)
    & n0 = sum(n8,n8)
    & n15 = sum(n8,n7)
    & n14 = sum(n8,n6)
    & n13 = sum(n8,n5)
    & n12 = sum(n8,n4)
    & n11 = sum(n8,n3)
    & n10 = sum(n8,n2)
    & n9 = sum(n8,n1)
    & n8 = sum(n8,n0)
    & n6 = sum(n7,n15)
    & n5 = sum(n7,n14)
    & n4 = sum(n7,n13)
    & n3 = sum(n7,n12)
    & n2 = sum(n7,n11)
    & n1 = sum(n7,n10)
    & n0 = sum(n7,n9)
    & n15 = sum(n7,n8)
    & n14 = sum(n7,n7)
    & n13 = sum(n7,n6)
    & n12 = sum(n7,n5)
    & n11 = sum(n7,n4)
    & n10 = sum(n7,n3)
    & n9 = sum(n7,n2)
    & n8 = sum(n7,n1)
    & n7 = sum(n7,n0)
    & n5 = sum(n6,n15)
    & n4 = sum(n6,n14)
    & n3 = sum(n6,n13)
    & n2 = sum(n6,n12)
    & n1 = sum(n6,n11)
    & n0 = sum(n6,n10)
    & n15 = sum(n6,n9)
    & n14 = sum(n6,n8)
    & n13 = sum(n6,n7)
    & n12 = sum(n6,n6)
    & n11 = sum(n6,n5)
    & n10 = sum(n6,n4)
    & n9 = sum(n6,n3)
    & n8 = sum(n6,n2)
    & n7 = sum(n6,n1)
    & n6 = sum(n6,n0)
    & n4 = sum(n5,n15)
    & n3 = sum(n5,n14)
    & n2 = sum(n5,n13)
    & n1 = sum(n5,n12)
    & n0 = sum(n5,n11)
    & n15 = sum(n5,n10)
    & n14 = sum(n5,n9)
    & n13 = sum(n5,n8)
    & n12 = sum(n5,n7)
    & n11 = sum(n5,n6)
    & n10 = sum(n5,n5)
    & n9 = sum(n5,n4)
    & n8 = sum(n5,n3)
    & n7 = sum(n5,n2)
    & n6 = sum(n5,n1)
    & n5 = sum(n5,n0)
    & n3 = sum(n4,n15)
    & n2 = sum(n4,n14)
    & n1 = sum(n4,n13)
    & n0 = sum(n4,n12)
    & n15 = sum(n4,n11)
    & n14 = sum(n4,n10)
    & n13 = sum(n4,n9)
    & n12 = sum(n4,n8)
    & n11 = sum(n4,n7)
    & n10 = sum(n4,n6)
    & n9 = sum(n4,n5)
    & n8 = sum(n4,n4)
    & n7 = sum(n4,n3)
    & n6 = sum(n4,n2)
    & n5 = sum(n4,n1)
    & n4 = sum(n4,n0)
    & n2 = sum(n3,n15)
    & n1 = sum(n3,n14)
    & n0 = sum(n3,n13)
    & n15 = sum(n3,n12)
    & n14 = sum(n3,n11)
    & n13 = sum(n3,n10)
    & n12 = sum(n3,n9)
    & n11 = sum(n3,n8)
    & n10 = sum(n3,n7)
    & n9 = sum(n3,n6)
    & n8 = sum(n3,n5)
    & n7 = sum(n3,n4)
    & n6 = sum(n3,n3)
    & n5 = sum(n3,n2)
    & n4 = sum(n3,n1)
    & n3 = sum(n3,n0)
    & n1 = sum(n2,n15)
    & n0 = sum(n2,n14)
    & n15 = sum(n2,n13)
    & n14 = sum(n2,n12)
    & n13 = sum(n2,n11)
    & n12 = sum(n2,n10)
    & n11 = sum(n2,n9)
    & n10 = sum(n2,n8)
    & n9 = sum(n2,n7)
    & n8 = sum(n2,n6)
    & n7 = sum(n2,n5)
    & n6 = sum(n2,n4)
    & n5 = sum(n2,n3)
    & n4 = sum(n2,n2)
    & n3 = sum(n2,n1)
    & n2 = sum(n2,n0)
    & n0 = sum(n1,n15)
    & n15 = sum(n1,n14)
    & n14 = sum(n1,n13)
    & n13 = sum(n1,n12)
    & n12 = sum(n1,n11)
    & n11 = sum(n1,n10)
    & n10 = sum(n1,n9)
    & n9 = sum(n1,n8)
    & n8 = sum(n1,n7)
    & n7 = sum(n1,n6)
    & n6 = sum(n1,n5)
    & n5 = sum(n1,n4)
    & n4 = sum(n1,n3)
    & n3 = sum(n1,n2)
    & n2 = sum(n1,n1)
    & n1 = sum(n1,n0)
    & n15 = sum(n0,n15)
    & n14 = sum(n0,n14)
    & n13 = sum(n0,n13)
    & n12 = sum(n0,n12)
    & n11 = sum(n0,n11)
    & n10 = sum(n0,n10)
    & n9 = sum(n0,n9)
    & n8 = sum(n0,n8)
    & n7 = sum(n0,n7)
    & n6 = sum(n0,n6)
    & n5 = sum(n0,n5)
    & n4 = sum(n0,n4)
    & n3 = sum(n0,n3)
    & n2 = sum(n0,n2)
    & n1 = sum(n0,n1)
    & n0 = sum(n0,n0)
    & n14 = pred(n15)
    & n13 = pred(n14)
    & n12 = pred(n13)
    & n11 = pred(n12)
    & n10 = pred(n11)
    & n9 = pred(n10)
    & n8 = pred(n9)
    & n7 = pred(n8)
    & n6 = pred(n7)
    & n5 = pred(n6)
    & n4 = pred(n5)
    & n3 = pred(n4)
    & n2 = pred(n3)
    & n1 = pred(n2)
    & n0 = pred(n1)
    & n15 = pred(n0)
    & n0 = succ(n15)
    & succ(n14) = n15
    & succ(n13) = n14
    & succ(n12) = n13
    & succ(n11) = n12
    & succ(n10) = n11
    & succ(n9) = n10
    & succ(n8) = n9
    & succ(n7) = n8
    & succ(n6) = n7
    & succ(n5) = n6
    & succ(n4) = n5
    & succ(n3) = n4
    & succ(n2) = n3
    & succ(n1) = n2
    & succ(n0) = n1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f1,f2]) ).

fof(f2,plain,
    ( ? [X0,X1,X2] :
        ( n14 != n15
        & n13 != n15
        & n13 != n14
        & n12 != n15
        & n12 != n14
        & n12 != n13
        & n11 != n15
        & n11 != n14
        & n11 != n13
        & n11 != n12
        & n10 != n15
        & n10 != n14
        & n10 != n13
        & n10 != n12
        & n10 != n11
        & n9 != n15
        & n9 != n14
        & n9 != n13
        & n9 != n12
        & n9 != n11
        & n9 != n10
        & n8 != n15
        & n8 != n14
        & n8 != n13
        & n8 != n12
        & n8 != n11
        & n8 != n10
        & n8 != n9
        & n7 != n15
        & n7 != n14
        & n7 != n13
        & n7 != n12
        & n7 != n11
        & n7 != n10
        & n7 != n9
        & n7 != n8
        & n6 != n15
        & n6 != n14
        & n6 != n13
        & n6 != n12
        & n6 != n11
        & n6 != n10
        & n6 != n9
        & n6 != n8
        & n6 != n7
        & n5 != n15
        & n5 != n14
        & n5 != n13
        & n5 != n12
        & n5 != n11
        & n5 != n10
        & n5 != n9
        & n5 != n8
        & n5 != n7
        & n5 != n6
        & n4 != n15
        & n4 != n14
        & n4 != n13
        & n4 != n12
        & n4 != n11
        & n4 != n10
        & n4 != n9
        & n4 != n8
        & n4 != n7
        & n4 != n6
        & n4 != n5
        & n3 != n15
        & n3 != n14
        & n3 != n13
        & n3 != n12
        & n3 != n11
        & n3 != n10
        & n3 != n9
        & n3 != n8
        & n3 != n7
        & n3 != n6
        & n3 != n5
        & n3 != n4
        & n2 != n15
        & n2 != n14
        & n2 != n13
        & n2 != n12
        & n2 != n11
        & n2 != n10
        & n2 != n9
        & n2 != n8
        & n2 != n7
        & n2 != n6
        & n2 != n5
        & n2 != n4
        & n2 != n3
        & n1 != n15
        & n1 != n14
        & n1 != n13
        & n1 != n12
        & n1 != n11
        & n1 != n10
        & n1 != n9
        & n1 != n8
        & n1 != n7
        & n1 != n6
        & n1 != n5
        & n1 != n4
        & n1 != n3
        & n1 != n2
        & n0 != n15
        & n0 != n14
        & n0 != n13
        & n0 != n12
        & n0 != n11
        & n0 != n10
        & n0 != n9
        & n0 != n8
        & n0 != n7
        & n0 != n6
        & n0 != n5
        & n0 != n4
        & n0 != n3
        & n0 != n2
        & n0 != n1
        & n15 != X2
        & n14 != X2
        & n13 != X2
        & n12 != X2
        & n11 != X2
        & n10 != X2
        & n9 != X2
        & n8 != X2
        & n7 != X2
        & n6 != X2
        & n5 != X2
        & n4 != X2
        & n3 != X2
        & n2 != X2
        & n1 != X2
        & n0 != X2
        & sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
        & ( n15 = X1
          | n14 = X1
          | n13 = X1
          | n12 = X1
          | n11 = X1
          | n10 = X1
          | n9 = X1
          | n8 = X1
          | n7 = X1
          | n6 = X1
          | n5 = X1
          | n4 = X1
          | n3 = X1
          | n2 = X1
          | n1 = X1
          | n0 = X1 )
        & ( n15 = X0
          | n14 = X0
          | n13 = X0
          | n12 = X0
          | n11 = X0
          | n10 = X0
          | n9 = X0
          | n8 = X0
          | n7 = X0
          | n6 = X0
          | n5 = X0
          | n4 = X0
          | n3 = X0
          | n2 = X0
          | n1 = X0
          | n0 = X0 )
        & n14 = sum(n15,n15)
        & n13 = sum(n15,n14)
        & n12 = sum(n15,n13)
        & n11 = sum(n15,n12)
        & n10 = sum(n15,n11)
        & n9 = sum(n15,n10)
        & n8 = sum(n15,n9)
        & n7 = sum(n15,n8)
        & n6 = sum(n15,n7)
        & n5 = sum(n15,n6)
        & n4 = sum(n15,n5)
        & n3 = sum(n15,n4)
        & n2 = sum(n15,n3)
        & n1 = sum(n15,n2)
        & n0 = sum(n15,n1)
        & n15 = sum(n15,n0)
        & n13 = sum(n14,n15)
        & n12 = sum(n14,n14)
        & n11 = sum(n14,n13)
        & n10 = sum(n14,n12)
        & n9 = sum(n14,n11)
        & n8 = sum(n14,n10)
        & n7 = sum(n14,n9)
        & n6 = sum(n14,n8)
        & n5 = sum(n14,n7)
        & n4 = sum(n14,n6)
        & n3 = sum(n14,n5)
        & n2 = sum(n14,n4)
        & n1 = sum(n14,n3)
        & n0 = sum(n14,n2)
        & n15 = sum(n14,n1)
        & n14 = sum(n14,n0)
        & n12 = sum(n13,n15)
        & n11 = sum(n13,n14)
        & n10 = sum(n13,n13)
        & n9 = sum(n13,n12)
        & n8 = sum(n13,n11)
        & n7 = sum(n13,n10)
        & n6 = sum(n13,n9)
        & n5 = sum(n13,n8)
        & n4 = sum(n13,n7)
        & n3 = sum(n13,n6)
        & n2 = sum(n13,n5)
        & n1 = sum(n13,n4)
        & n0 = sum(n13,n3)
        & n15 = sum(n13,n2)
        & n14 = sum(n13,n1)
        & n13 = sum(n13,n0)
        & n11 = sum(n12,n15)
        & n10 = sum(n12,n14)
        & n9 = sum(n12,n13)
        & n8 = sum(n12,n12)
        & n7 = sum(n12,n11)
        & n6 = sum(n12,n10)
        & n5 = sum(n12,n9)
        & n4 = sum(n12,n8)
        & n3 = sum(n12,n7)
        & n2 = sum(n12,n6)
        & n1 = sum(n12,n5)
        & n0 = sum(n12,n4)
        & n15 = sum(n12,n3)
        & n14 = sum(n12,n2)
        & n13 = sum(n12,n1)
        & n12 = sum(n12,n0)
        & n10 = sum(n11,n15)
        & n9 = sum(n11,n14)
        & n8 = sum(n11,n13)
        & n7 = sum(n11,n12)
        & n6 = sum(n11,n11)
        & n5 = sum(n11,n10)
        & n4 = sum(n11,n9)
        & n3 = sum(n11,n8)
        & n2 = sum(n11,n7)
        & n1 = sum(n11,n6)
        & n0 = sum(n11,n5)
        & n15 = sum(n11,n4)
        & n14 = sum(n11,n3)
        & n13 = sum(n11,n2)
        & n12 = sum(n11,n1)
        & n11 = sum(n11,n0)
        & n9 = sum(n10,n15)
        & n8 = sum(n10,n14)
        & n7 = sum(n10,n13)
        & n6 = sum(n10,n12)
        & n5 = sum(n10,n11)
        & n4 = sum(n10,n10)
        & n3 = sum(n10,n9)
        & n2 = sum(n10,n8)
        & n1 = sum(n10,n7)
        & n0 = sum(n10,n6)
        & n15 = sum(n10,n5)
        & n14 = sum(n10,n4)
        & n13 = sum(n10,n3)
        & n12 = sum(n10,n2)
        & n11 = sum(n10,n1)
        & n10 = sum(n10,n0)
        & n8 = sum(n9,n15)
        & n7 = sum(n9,n14)
        & n6 = sum(n9,n13)
        & n5 = sum(n9,n12)
        & n4 = sum(n9,n11)
        & n3 = sum(n9,n10)
        & n2 = sum(n9,n9)
        & n1 = sum(n9,n8)
        & n0 = sum(n9,n7)
        & n15 = sum(n9,n6)
        & n14 = sum(n9,n5)
        & n13 = sum(n9,n4)
        & n12 = sum(n9,n3)
        & n11 = sum(n9,n2)
        & n10 = sum(n9,n1)
        & n9 = sum(n9,n0)
        & n7 = sum(n8,n15)
        & n6 = sum(n8,n14)
        & n5 = sum(n8,n13)
        & n4 = sum(n8,n12)
        & n3 = sum(n8,n11)
        & n2 = sum(n8,n10)
        & n1 = sum(n8,n9)
        & n0 = sum(n8,n8)
        & n15 = sum(n8,n7)
        & n14 = sum(n8,n6)
        & n13 = sum(n8,n5)
        & n12 = sum(n8,n4)
        & n11 = sum(n8,n3)
        & n10 = sum(n8,n2)
        & n9 = sum(n8,n1)
        & n8 = sum(n8,n0)
        & n6 = sum(n7,n15)
        & n5 = sum(n7,n14)
        & n4 = sum(n7,n13)
        & n3 = sum(n7,n12)
        & n2 = sum(n7,n11)
        & n1 = sum(n7,n10)
        & n0 = sum(n7,n9)
        & n15 = sum(n7,n8)
        & n14 = sum(n7,n7)
        & n13 = sum(n7,n6)
        & n12 = sum(n7,n5)
        & n11 = sum(n7,n4)
        & n10 = sum(n7,n3)
        & n9 = sum(n7,n2)
        & n8 = sum(n7,n1)
        & n7 = sum(n7,n0)
        & n5 = sum(n6,n15)
        & n4 = sum(n6,n14)
        & n3 = sum(n6,n13)
        & n2 = sum(n6,n12)
        & n1 = sum(n6,n11)
        & n0 = sum(n6,n10)
        & n15 = sum(n6,n9)
        & n14 = sum(n6,n8)
        & n13 = sum(n6,n7)
        & n12 = sum(n6,n6)
        & n11 = sum(n6,n5)
        & n10 = sum(n6,n4)
        & n9 = sum(n6,n3)
        & n8 = sum(n6,n2)
        & n7 = sum(n6,n1)
        & n6 = sum(n6,n0)
        & n4 = sum(n5,n15)
        & n3 = sum(n5,n14)
        & n2 = sum(n5,n13)
        & n1 = sum(n5,n12)
        & n0 = sum(n5,n11)
        & n15 = sum(n5,n10)
        & n14 = sum(n5,n9)
        & n13 = sum(n5,n8)
        & n12 = sum(n5,n7)
        & n11 = sum(n5,n6)
        & n10 = sum(n5,n5)
        & n9 = sum(n5,n4)
        & n8 = sum(n5,n3)
        & n7 = sum(n5,n2)
        & n6 = sum(n5,n1)
        & n5 = sum(n5,n0)
        & n3 = sum(n4,n15)
        & n2 = sum(n4,n14)
        & n1 = sum(n4,n13)
        & n0 = sum(n4,n12)
        & n15 = sum(n4,n11)
        & n14 = sum(n4,n10)
        & n13 = sum(n4,n9)
        & n12 = sum(n4,n8)
        & n11 = sum(n4,n7)
        & n10 = sum(n4,n6)
        & n9 = sum(n4,n5)
        & n8 = sum(n4,n4)
        & n7 = sum(n4,n3)
        & n6 = sum(n4,n2)
        & n5 = sum(n4,n1)
        & n4 = sum(n4,n0)
        & n2 = sum(n3,n15)
        & n1 = sum(n3,n14)
        & n0 = sum(n3,n13)
        & n15 = sum(n3,n12)
        & n14 = sum(n3,n11)
        & n13 = sum(n3,n10)
        & n12 = sum(n3,n9)
        & n11 = sum(n3,n8)
        & n10 = sum(n3,n7)
        & n9 = sum(n3,n6)
        & n8 = sum(n3,n5)
        & n7 = sum(n3,n4)
        & n6 = sum(n3,n3)
        & n5 = sum(n3,n2)
        & n4 = sum(n3,n1)
        & n3 = sum(n3,n0)
        & n1 = sum(n2,n15)
        & n0 = sum(n2,n14)
        & n15 = sum(n2,n13)
        & n14 = sum(n2,n12)
        & n13 = sum(n2,n11)
        & n12 = sum(n2,n10)
        & n11 = sum(n2,n9)
        & n10 = sum(n2,n8)
        & n9 = sum(n2,n7)
        & n8 = sum(n2,n6)
        & n7 = sum(n2,n5)
        & n6 = sum(n2,n4)
        & n5 = sum(n2,n3)
        & n4 = sum(n2,n2)
        & n3 = sum(n2,n1)
        & n2 = sum(n2,n0)
        & n0 = sum(n1,n15)
        & n15 = sum(n1,n14)
        & n14 = sum(n1,n13)
        & n13 = sum(n1,n12)
        & n12 = sum(n1,n11)
        & n11 = sum(n1,n10)
        & n10 = sum(n1,n9)
        & n9 = sum(n1,n8)
        & n8 = sum(n1,n7)
        & n7 = sum(n1,n6)
        & n6 = sum(n1,n5)
        & n5 = sum(n1,n4)
        & n4 = sum(n1,n3)
        & n3 = sum(n1,n2)
        & n2 = sum(n1,n1)
        & n1 = sum(n1,n0)
        & n15 = sum(n0,n15)
        & n14 = sum(n0,n14)
        & n13 = sum(n0,n13)
        & n12 = sum(n0,n12)
        & n11 = sum(n0,n11)
        & n10 = sum(n0,n10)
        & n9 = sum(n0,n9)
        & n8 = sum(n0,n8)
        & n7 = sum(n0,n7)
        & n6 = sum(n0,n6)
        & n5 = sum(n0,n5)
        & n4 = sum(n0,n4)
        & n3 = sum(n0,n3)
        & n2 = sum(n0,n2)
        & n1 = sum(n0,n1)
        & n0 = sum(n0,n0)
        & n14 = pred(n15)
        & n13 = pred(n14)
        & n12 = pred(n13)
        & n11 = pred(n12)
        & n10 = pred(n11)
        & n9 = pred(n10)
        & n8 = pred(n9)
        & n7 = pred(n8)
        & n6 = pred(n7)
        & n5 = pred(n6)
        & n4 = pred(n5)
        & n3 = pred(n4)
        & n2 = pred(n3)
        & n1 = pred(n2)
        & n0 = pred(n1)
        & n15 = pred(n0)
        & n0 = succ(n15)
        & succ(n14) = n15
        & succ(n13) = n14
        & succ(n12) = n13
        & succ(n11) = n12
        & succ(n10) = n11
        & succ(n9) = n10
        & succ(n8) = n9
        & succ(n7) = n8
        & succ(n6) = n7
        & succ(n5) = n6
        & succ(n4) = n5
        & succ(n3) = n4
        & succ(n2) = n3
        & succ(n1) = n2
        & succ(n0) = n1 )
   => ( n14 != n15
      & n13 != n15
      & n13 != n14
      & n12 != n15
      & n12 != n14
      & n12 != n13
      & n11 != n15
      & n11 != n14
      & n11 != n13
      & n11 != n12
      & n10 != n15
      & n10 != n14
      & n10 != n13
      & n10 != n12
      & n10 != n11
      & n9 != n15
      & n9 != n14
      & n9 != n13
      & n9 != n12
      & n9 != n11
      & n9 != n10
      & n8 != n15
      & n8 != n14
      & n8 != n13
      & n8 != n12
      & n8 != n11
      & n8 != n10
      & n8 != n9
      & n7 != n15
      & n7 != n14
      & n7 != n13
      & n7 != n12
      & n7 != n11
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n15
      & n6 != n14
      & n6 != n13
      & n6 != n12
      & n6 != n11
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n15
      & n5 != n14
      & n5 != n13
      & n5 != n12
      & n5 != n11
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n15
      & n4 != n14
      & n4 != n13
      & n4 != n12
      & n4 != n11
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n15
      & n3 != n14
      & n3 != n13
      & n3 != n12
      & n3 != n11
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n15
      & n2 != n14
      & n2 != n13
      & n2 != n12
      & n2 != n11
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n15
      & n1 != n14
      & n1 != n13
      & n1 != n12
      & n1 != n11
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n15
      & n0 != n14
      & n0 != n13
      & n0 != n12
      & n0 != n11
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & n15 != sK2
      & n14 != sK2
      & n13 != sK2
      & n12 != sK2
      & n11 != sK2
      & n10 != sK2
      & n9 != sK2
      & n8 != sK2
      & n7 != sK2
      & n6 != sK2
      & n5 != sK2
      & n4 != sK2
      & n3 != sK2
      & n2 != sK2
      & n1 != sK2
      & n0 != sK2
      & sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
      & ( n15 = sK1
        | n14 = sK1
        | n13 = sK1
        | n12 = sK1
        | n11 = sK1
        | n10 = sK1
        | n9 = sK1
        | n8 = sK1
        | n7 = sK1
        | n6 = sK1
        | n5 = sK1
        | n4 = sK1
        | n3 = sK1
        | n2 = sK1
        | n1 = sK1
        | n0 = sK1 )
      & ( n15 = sK0
        | n14 = sK0
        | n13 = sK0
        | n12 = sK0
        | n11 = sK0
        | n10 = sK0
        | n9 = sK0
        | n8 = sK0
        | n7 = sK0
        | n6 = sK0
        | n5 = sK0
        | n4 = sK0
        | n3 = sK0
        | n2 = sK0
        | n1 = sK0
        | n0 = sK0 )
      & n14 = sum(n15,n15)
      & n13 = sum(n15,n14)
      & n12 = sum(n15,n13)
      & n11 = sum(n15,n12)
      & n10 = sum(n15,n11)
      & n9 = sum(n15,n10)
      & n8 = sum(n15,n9)
      & n7 = sum(n15,n8)
      & n6 = sum(n15,n7)
      & n5 = sum(n15,n6)
      & n4 = sum(n15,n5)
      & n3 = sum(n15,n4)
      & n2 = sum(n15,n3)
      & n1 = sum(n15,n2)
      & n0 = sum(n15,n1)
      & n15 = sum(n15,n0)
      & n13 = sum(n14,n15)
      & n12 = sum(n14,n14)
      & n11 = sum(n14,n13)
      & n10 = sum(n14,n12)
      & n9 = sum(n14,n11)
      & n8 = sum(n14,n10)
      & n7 = sum(n14,n9)
      & n6 = sum(n14,n8)
      & n5 = sum(n14,n7)
      & n4 = sum(n14,n6)
      & n3 = sum(n14,n5)
      & n2 = sum(n14,n4)
      & n1 = sum(n14,n3)
      & n0 = sum(n14,n2)
      & n15 = sum(n14,n1)
      & n14 = sum(n14,n0)
      & n12 = sum(n13,n15)
      & n11 = sum(n13,n14)
      & n10 = sum(n13,n13)
      & n9 = sum(n13,n12)
      & n8 = sum(n13,n11)
      & n7 = sum(n13,n10)
      & n6 = sum(n13,n9)
      & n5 = sum(n13,n8)
      & n4 = sum(n13,n7)
      & n3 = sum(n13,n6)
      & n2 = sum(n13,n5)
      & n1 = sum(n13,n4)
      & n0 = sum(n13,n3)
      & n15 = sum(n13,n2)
      & n14 = sum(n13,n1)
      & n13 = sum(n13,n0)
      & n11 = sum(n12,n15)
      & n10 = sum(n12,n14)
      & n9 = sum(n12,n13)
      & n8 = sum(n12,n12)
      & n7 = sum(n12,n11)
      & n6 = sum(n12,n10)
      & n5 = sum(n12,n9)
      & n4 = sum(n12,n8)
      & n3 = sum(n12,n7)
      & n2 = sum(n12,n6)
      & n1 = sum(n12,n5)
      & n0 = sum(n12,n4)
      & n15 = sum(n12,n3)
      & n14 = sum(n12,n2)
      & n13 = sum(n12,n1)
      & n12 = sum(n12,n0)
      & n10 = sum(n11,n15)
      & n9 = sum(n11,n14)
      & n8 = sum(n11,n13)
      & n7 = sum(n11,n12)
      & n6 = sum(n11,n11)
      & n5 = sum(n11,n10)
      & n4 = sum(n11,n9)
      & n3 = sum(n11,n8)
      & n2 = sum(n11,n7)
      & n1 = sum(n11,n6)
      & n0 = sum(n11,n5)
      & n15 = sum(n11,n4)
      & n14 = sum(n11,n3)
      & n13 = sum(n11,n2)
      & n12 = sum(n11,n1)
      & n11 = sum(n11,n0)
      & n9 = sum(n10,n15)
      & n8 = sum(n10,n14)
      & n7 = sum(n10,n13)
      & n6 = sum(n10,n12)
      & n5 = sum(n10,n11)
      & n4 = sum(n10,n10)
      & n3 = sum(n10,n9)
      & n2 = sum(n10,n8)
      & n1 = sum(n10,n7)
      & n0 = sum(n10,n6)
      & n15 = sum(n10,n5)
      & n14 = sum(n10,n4)
      & n13 = sum(n10,n3)
      & n12 = sum(n10,n2)
      & n11 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n15)
      & n7 = sum(n9,n14)
      & n6 = sum(n9,n13)
      & n5 = sum(n9,n12)
      & n4 = sum(n9,n11)
      & n3 = sum(n9,n10)
      & n2 = sum(n9,n9)
      & n1 = sum(n9,n8)
      & n0 = sum(n9,n7)
      & n15 = sum(n9,n6)
      & n14 = sum(n9,n5)
      & n13 = sum(n9,n4)
      & n12 = sum(n9,n3)
      & n11 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n15)
      & n6 = sum(n8,n14)
      & n5 = sum(n8,n13)
      & n4 = sum(n8,n12)
      & n3 = sum(n8,n11)
      & n2 = sum(n8,n10)
      & n1 = sum(n8,n9)
      & n0 = sum(n8,n8)
      & n15 = sum(n8,n7)
      & n14 = sum(n8,n6)
      & n13 = sum(n8,n5)
      & n12 = sum(n8,n4)
      & n11 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n15)
      & n5 = sum(n7,n14)
      & n4 = sum(n7,n13)
      & n3 = sum(n7,n12)
      & n2 = sum(n7,n11)
      & n1 = sum(n7,n10)
      & n0 = sum(n7,n9)
      & n15 = sum(n7,n8)
      & n14 = sum(n7,n7)
      & n13 = sum(n7,n6)
      & n12 = sum(n7,n5)
      & n11 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n15)
      & n4 = sum(n6,n14)
      & n3 = sum(n6,n13)
      & n2 = sum(n6,n12)
      & n1 = sum(n6,n11)
      & n0 = sum(n6,n10)
      & n15 = sum(n6,n9)
      & n14 = sum(n6,n8)
      & n13 = sum(n6,n7)
      & n12 = sum(n6,n6)
      & n11 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n15)
      & n3 = sum(n5,n14)
      & n2 = sum(n5,n13)
      & n1 = sum(n5,n12)
      & n0 = sum(n5,n11)
      & n15 = sum(n5,n10)
      & n14 = sum(n5,n9)
      & n13 = sum(n5,n8)
      & n12 = sum(n5,n7)
      & n11 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n15)
      & n2 = sum(n4,n14)
      & n1 = sum(n4,n13)
      & n0 = sum(n4,n12)
      & n15 = sum(n4,n11)
      & n14 = sum(n4,n10)
      & n13 = sum(n4,n9)
      & n12 = sum(n4,n8)
      & n11 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n15)
      & n1 = sum(n3,n14)
      & n0 = sum(n3,n13)
      & n15 = sum(n3,n12)
      & n14 = sum(n3,n11)
      & n13 = sum(n3,n10)
      & n12 = sum(n3,n9)
      & n11 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n15)
      & n0 = sum(n2,n14)
      & n15 = sum(n2,n13)
      & n14 = sum(n2,n12)
      & n13 = sum(n2,n11)
      & n12 = sum(n2,n10)
      & n11 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n15)
      & n15 = sum(n1,n14)
      & n14 = sum(n1,n13)
      & n13 = sum(n1,n12)
      & n12 = sum(n1,n11)
      & n11 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n15 = sum(n0,n15)
      & n14 = sum(n0,n14)
      & n13 = sum(n0,n13)
      & n12 = sum(n0,n12)
      & n11 = sum(n0,n11)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n14 = pred(n15)
      & n13 = pred(n14)
      & n12 = pred(n13)
      & n11 = pred(n12)
      & n10 = pred(n11)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n15 = pred(n0)
      & n0 = succ(n15)
      & succ(n14) = n15
      & succ(n13) = n14
      & succ(n12) = n13
      & succ(n11) = n12
      & succ(n10) = n11
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0,X1,X2] :
      ( n14 != n15
      & n13 != n15
      & n13 != n14
      & n12 != n15
      & n12 != n14
      & n12 != n13
      & n11 != n15
      & n11 != n14
      & n11 != n13
      & n11 != n12
      & n10 != n15
      & n10 != n14
      & n10 != n13
      & n10 != n12
      & n10 != n11
      & n9 != n15
      & n9 != n14
      & n9 != n13
      & n9 != n12
      & n9 != n11
      & n9 != n10
      & n8 != n15
      & n8 != n14
      & n8 != n13
      & n8 != n12
      & n8 != n11
      & n8 != n10
      & n8 != n9
      & n7 != n15
      & n7 != n14
      & n7 != n13
      & n7 != n12
      & n7 != n11
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n15
      & n6 != n14
      & n6 != n13
      & n6 != n12
      & n6 != n11
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n15
      & n5 != n14
      & n5 != n13
      & n5 != n12
      & n5 != n11
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n15
      & n4 != n14
      & n4 != n13
      & n4 != n12
      & n4 != n11
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n15
      & n3 != n14
      & n3 != n13
      & n3 != n12
      & n3 != n11
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n15
      & n2 != n14
      & n2 != n13
      & n2 != n12
      & n2 != n11
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n15
      & n1 != n14
      & n1 != n13
      & n1 != n12
      & n1 != n11
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n15
      & n0 != n14
      & n0 != n13
      & n0 != n12
      & n0 != n11
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & n15 != X2
      & n14 != X2
      & n13 != X2
      & n12 != X2
      & n11 != X2
      & n10 != X2
      & n9 != X2
      & n8 != X2
      & n7 != X2
      & n6 != X2
      & n5 != X2
      & n4 != X2
      & n3 != X2
      & n2 != X2
      & n1 != X2
      & n0 != X2
      & sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
      & ( n15 = X1
        | n14 = X1
        | n13 = X1
        | n12 = X1
        | n11 = X1
        | n10 = X1
        | n9 = X1
        | n8 = X1
        | n7 = X1
        | n6 = X1
        | n5 = X1
        | n4 = X1
        | n3 = X1
        | n2 = X1
        | n1 = X1
        | n0 = X1 )
      & ( n15 = X0
        | n14 = X0
        | n13 = X0
        | n12 = X0
        | n11 = X0
        | n10 = X0
        | n9 = X0
        | n8 = X0
        | n7 = X0
        | n6 = X0
        | n5 = X0
        | n4 = X0
        | n3 = X0
        | n2 = X0
        | n1 = X0
        | n0 = X0 )
      & n14 = sum(n15,n15)
      & n13 = sum(n15,n14)
      & n12 = sum(n15,n13)
      & n11 = sum(n15,n12)
      & n10 = sum(n15,n11)
      & n9 = sum(n15,n10)
      & n8 = sum(n15,n9)
      & n7 = sum(n15,n8)
      & n6 = sum(n15,n7)
      & n5 = sum(n15,n6)
      & n4 = sum(n15,n5)
      & n3 = sum(n15,n4)
      & n2 = sum(n15,n3)
      & n1 = sum(n15,n2)
      & n0 = sum(n15,n1)
      & n15 = sum(n15,n0)
      & n13 = sum(n14,n15)
      & n12 = sum(n14,n14)
      & n11 = sum(n14,n13)
      & n10 = sum(n14,n12)
      & n9 = sum(n14,n11)
      & n8 = sum(n14,n10)
      & n7 = sum(n14,n9)
      & n6 = sum(n14,n8)
      & n5 = sum(n14,n7)
      & n4 = sum(n14,n6)
      & n3 = sum(n14,n5)
      & n2 = sum(n14,n4)
      & n1 = sum(n14,n3)
      & n0 = sum(n14,n2)
      & n15 = sum(n14,n1)
      & n14 = sum(n14,n0)
      & n12 = sum(n13,n15)
      & n11 = sum(n13,n14)
      & n10 = sum(n13,n13)
      & n9 = sum(n13,n12)
      & n8 = sum(n13,n11)
      & n7 = sum(n13,n10)
      & n6 = sum(n13,n9)
      & n5 = sum(n13,n8)
      & n4 = sum(n13,n7)
      & n3 = sum(n13,n6)
      & n2 = sum(n13,n5)
      & n1 = sum(n13,n4)
      & n0 = sum(n13,n3)
      & n15 = sum(n13,n2)
      & n14 = sum(n13,n1)
      & n13 = sum(n13,n0)
      & n11 = sum(n12,n15)
      & n10 = sum(n12,n14)
      & n9 = sum(n12,n13)
      & n8 = sum(n12,n12)
      & n7 = sum(n12,n11)
      & n6 = sum(n12,n10)
      & n5 = sum(n12,n9)
      & n4 = sum(n12,n8)
      & n3 = sum(n12,n7)
      & n2 = sum(n12,n6)
      & n1 = sum(n12,n5)
      & n0 = sum(n12,n4)
      & n15 = sum(n12,n3)
      & n14 = sum(n12,n2)
      & n13 = sum(n12,n1)
      & n12 = sum(n12,n0)
      & n10 = sum(n11,n15)
      & n9 = sum(n11,n14)
      & n8 = sum(n11,n13)
      & n7 = sum(n11,n12)
      & n6 = sum(n11,n11)
      & n5 = sum(n11,n10)
      & n4 = sum(n11,n9)
      & n3 = sum(n11,n8)
      & n2 = sum(n11,n7)
      & n1 = sum(n11,n6)
      & n0 = sum(n11,n5)
      & n15 = sum(n11,n4)
      & n14 = sum(n11,n3)
      & n13 = sum(n11,n2)
      & n12 = sum(n11,n1)
      & n11 = sum(n11,n0)
      & n9 = sum(n10,n15)
      & n8 = sum(n10,n14)
      & n7 = sum(n10,n13)
      & n6 = sum(n10,n12)
      & n5 = sum(n10,n11)
      & n4 = sum(n10,n10)
      & n3 = sum(n10,n9)
      & n2 = sum(n10,n8)
      & n1 = sum(n10,n7)
      & n0 = sum(n10,n6)
      & n15 = sum(n10,n5)
      & n14 = sum(n10,n4)
      & n13 = sum(n10,n3)
      & n12 = sum(n10,n2)
      & n11 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n15)
      & n7 = sum(n9,n14)
      & n6 = sum(n9,n13)
      & n5 = sum(n9,n12)
      & n4 = sum(n9,n11)
      & n3 = sum(n9,n10)
      & n2 = sum(n9,n9)
      & n1 = sum(n9,n8)
      & n0 = sum(n9,n7)
      & n15 = sum(n9,n6)
      & n14 = sum(n9,n5)
      & n13 = sum(n9,n4)
      & n12 = sum(n9,n3)
      & n11 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n15)
      & n6 = sum(n8,n14)
      & n5 = sum(n8,n13)
      & n4 = sum(n8,n12)
      & n3 = sum(n8,n11)
      & n2 = sum(n8,n10)
      & n1 = sum(n8,n9)
      & n0 = sum(n8,n8)
      & n15 = sum(n8,n7)
      & n14 = sum(n8,n6)
      & n13 = sum(n8,n5)
      & n12 = sum(n8,n4)
      & n11 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n15)
      & n5 = sum(n7,n14)
      & n4 = sum(n7,n13)
      & n3 = sum(n7,n12)
      & n2 = sum(n7,n11)
      & n1 = sum(n7,n10)
      & n0 = sum(n7,n9)
      & n15 = sum(n7,n8)
      & n14 = sum(n7,n7)
      & n13 = sum(n7,n6)
      & n12 = sum(n7,n5)
      & n11 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n15)
      & n4 = sum(n6,n14)
      & n3 = sum(n6,n13)
      & n2 = sum(n6,n12)
      & n1 = sum(n6,n11)
      & n0 = sum(n6,n10)
      & n15 = sum(n6,n9)
      & n14 = sum(n6,n8)
      & n13 = sum(n6,n7)
      & n12 = sum(n6,n6)
      & n11 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n15)
      & n3 = sum(n5,n14)
      & n2 = sum(n5,n13)
      & n1 = sum(n5,n12)
      & n0 = sum(n5,n11)
      & n15 = sum(n5,n10)
      & n14 = sum(n5,n9)
      & n13 = sum(n5,n8)
      & n12 = sum(n5,n7)
      & n11 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n15)
      & n2 = sum(n4,n14)
      & n1 = sum(n4,n13)
      & n0 = sum(n4,n12)
      & n15 = sum(n4,n11)
      & n14 = sum(n4,n10)
      & n13 = sum(n4,n9)
      & n12 = sum(n4,n8)
      & n11 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n15)
      & n1 = sum(n3,n14)
      & n0 = sum(n3,n13)
      & n15 = sum(n3,n12)
      & n14 = sum(n3,n11)
      & n13 = sum(n3,n10)
      & n12 = sum(n3,n9)
      & n11 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n15)
      & n0 = sum(n2,n14)
      & n15 = sum(n2,n13)
      & n14 = sum(n2,n12)
      & n13 = sum(n2,n11)
      & n12 = sum(n2,n10)
      & n11 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n15)
      & n15 = sum(n1,n14)
      & n14 = sum(n1,n13)
      & n13 = sum(n1,n12)
      & n12 = sum(n1,n11)
      & n11 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n15 = sum(n0,n15)
      & n14 = sum(n0,n14)
      & n13 = sum(n0,n13)
      & n12 = sum(n0,n12)
      & n11 = sum(n0,n11)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n14 = pred(n15)
      & n13 = pred(n14)
      & n12 = pred(n13)
      & n11 = pred(n12)
      & n10 = pred(n11)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n15 = pred(n0)
      & n0 = succ(n15)
      & succ(n14) = n15
      & succ(n13) = n14
      & succ(n12) = n13
      & succ(n11) = n12
      & succ(n10) = n11
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f6727,plain,
    ( n11 = sK2
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6726,f47]) ).

fof(f47,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6726,plain,
    ( sum(n0,n11) = sK2
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6725,f21]) ).

fof(f21,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6725,plain,
    ( sK2 = sum(pred(n1),n11)
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6724,f113]) ).

fof(f113,plain,
    n1 = sum(n4,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6724,plain,
    ( sK2 = sum(pred(sum(n4,n13)),n11)
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6723,f16]) ).

fof(f16,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f6723,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),n11)
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6722,f243]) ).

fof(f243,plain,
    n11 = sum(n12,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f6722,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,n15))
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6721,f20]) ).

fof(f20,plain,
    n15 = pred(n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6721,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(n0)))
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6720,f112]) ).

fof(f112,plain,
    n0 = sum(n4,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6720,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(sum(n4,n12))))
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6708,f563]) ).

fof(f563,plain,
    ( n12 = sK1
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl3_29
  <=> n12 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f6708,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f450,plain,
    ( n4 = sK0
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl3_5
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f294,plain,
    sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f6706,plain,
    ( ~ spl3_3
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6705]) ).

fof(f6705,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6704,f302]) ).

fof(f302,plain,
    n7 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6704,plain,
    ( n7 = sK2
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6703,f269]) ).

fof(f269,plain,
    n7 = sum(n14,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6703,plain,
    ( sum(n14,n9) = sK2
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6702,f35]) ).

fof(f35,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f6702,plain,
    ( sK2 = sum(pred(n15),n9)
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6701,f81]) ).

fof(f81,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6701,plain,
    ( sK2 = sum(pred(sum(n2,n13)),n9)
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6700,f16]) ).

fof(f6700,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),n9)
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6699,f241]) ).

fof(f241,plain,
    n9 = sum(n12,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6699,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,n13))
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6698,f34]) ).

fof(f34,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f6698,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,pred(n14)))
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6697,f80]) ).

fof(f80,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6697,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,pred(sum(n2,n12))))
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6684,f442]) ).

fof(f442,plain,
    ( n2 = sK0
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl3_3
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f6684,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f6667,plain,
    ( ~ spl3_5
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6666]) ).

fof(f6666,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6665,f295]) ).

fof(f295,plain,
    n0 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6665,plain,
    ( n0 = sK2
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6664,f157]) ).

fof(f157,plain,
    n0 = sum(n7,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6664,plain,
    ( sum(n7,n9) = sK2
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6663,f28]) ).

fof(f28,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6663,plain,
    ( sK2 = sum(pred(n8),n9)
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6662,f104]) ).

fof(f104,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6662,plain,
    ( sK2 = sum(pred(sum(n4,n4)),n9)
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6661,f7]) ).

fof(f7,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f3]) ).

fof(f6661,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),n9)
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6660,f90]) ).

fof(f90,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6660,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,n6))
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6659,f27]) ).

fof(f27,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6659,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(n7)))
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6658,f103]) ).

fof(f103,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6658,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(sum(n4,n3))))
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6646,f527]) ).

fof(f527,plain,
    ( n3 = sK1
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl3_20
  <=> n3 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f6646,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f6644,plain,
    ( ~ spl3_3
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6643]) ).

fof(f6643,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6642,f307]) ).

fof(f307,plain,
    n12 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6642,plain,
    ( n12 = sK2
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6641,f123]) ).

fof(f123,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6641,plain,
    ( sum(n5,n7) = sK2
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6640,f26]) ).

fof(f26,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6640,plain,
    ( sK2 = sum(pred(n6),n7)
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6639,f72]) ).

fof(f72,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6639,plain,
    ( sK2 = sum(pred(sum(n2,n4)),n7)
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6638,f7]) ).

fof(f6638,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),n7)
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6637,f88]) ).

fof(f88,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6637,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,n4))
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6636,f25]) ).

fof(f25,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6636,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5)))
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6635,f71]) ).

fof(f71,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6635,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3))))
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6624,f442]) ).

fof(f6624,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f6607,plain,
    ( ~ spl3_5
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6606]) ).

fof(f6606,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6605,f310]) ).

fof(f310,plain,
    n15 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6605,plain,
    ( n15 = sK2
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6604,f231]) ).

fof(f231,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6604,plain,
    ( sum(n12,n3) = sK2
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6603,f33]) ).

fof(f33,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6603,plain,
    ( sK2 = sum(pred(n13),n3)
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6602,f109]) ).

fof(f109,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6602,plain,
    ( sK2 = sum(pred(sum(n4,n9)),n3)
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6601,f12]) ).

fof(f12,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f3]) ).

fof(f6601,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),n3)
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6600,f175]) ).

fof(f175,plain,
    n3 = sum(n8,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6600,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,n11))
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6599,f32]) ).

fof(f32,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6599,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(n12)))
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6598,f108]) ).

fof(f108,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6598,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(sum(n4,n8))))
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6586,f547]) ).

fof(f547,plain,
    ( n8 = sK1
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl3_25
  <=> n8 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f6586,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f6585,plain,
    ( ~ spl3_3
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6584]) ).

fof(f6584,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6583,f306]) ).

fof(f6583,plain,
    ( n11 = sK2
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6582,f197]) ).

fof(f197,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6582,plain,
    ( sum(n10,n1) = sK2
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6581,f31]) ).

fof(f31,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6581,plain,
    ( sK2 = sum(pred(n11),n1)
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6580,f77]) ).

fof(f77,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6580,plain,
    ( sK2 = sum(pred(sum(n2,n9)),n1)
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6579,f12]) ).

fof(f6579,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),n1)
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6578,f173]) ).

fof(f173,plain,
    n1 = sum(n8,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6578,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,n9))
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6577,f30]) ).

fof(f30,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6577,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10)))
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6576,f76]) ).

fof(f76,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6576,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6565,f547]) ).

fof(f6565,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f6563,plain,
    ( ~ spl3_1
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6562]) ).

fof(f6562,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6561,f302]) ).

fof(f6561,plain,
    ( n7 = sK2
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6560,f179]) ).

fof(f179,plain,
    n7 = sum(n8,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f6560,plain,
    ( sum(n8,n15) = sK2
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6559,f29]) ).

fof(f29,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6559,plain,
    ( sK2 = sum(pred(n9),n15)
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6558,f45]) ).

fof(f45,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6558,plain,
    ( sK2 = sum(pred(sum(n0,n9)),n15)
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6557,f12]) ).

fof(f6557,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),n15)
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6556,f171]) ).

fof(f171,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6556,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,n7))
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6555,f28]) ).

fof(f6555,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8)))
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6554,f44]) ).

fof(f44,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6554,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8))))
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6542,f434]) ).

fof(f434,plain,
    ( n0 = sK0
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f432,plain,
    ( spl3_1
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f6542,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f6541,plain,
    ( ~ spl3_1
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6540]) ).

fof(f6540,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6539,f298]) ).

fof(f298,plain,
    n3 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6539,plain,
    ( n3 = sK2
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6538,f235]) ).

fof(f235,plain,
    n3 = sum(n12,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6538,plain,
    ( sum(n12,n7) = sK2
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6537,f33]) ).

fof(f6537,plain,
    ( sK2 = sum(pred(n13),n7)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6536,f49]) ).

fof(f49,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6536,plain,
    ( sK2 = sum(pred(sum(n0,n13)),n7)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6535,f16]) ).

fof(f6535,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),n7)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6534,f239]) ).

fof(f239,plain,
    n7 = sum(n12,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6534,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,n11))
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6533,f32]) ).

fof(f6533,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,pred(n12)))
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6532,f48]) ).

fof(f48,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6532,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,pred(sum(n0,n12))))
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6519,f434]) ).

fof(f6519,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f6518,plain,
    ( ~ spl3_1
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6517]) ).

fof(f6517,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6516,f303]) ).

fof(f303,plain,
    n8 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6516,plain,
    ( n8 = sK2
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6515,f89]) ).

fof(f89,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6515,plain,
    ( sum(n3,n5) = sK2
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6514,f24]) ).

fof(f24,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6514,plain,
    ( sK2 = sum(pred(n4),n5)
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6513,f40]) ).

fof(f40,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6513,plain,
    ( sK2 = sum(pred(sum(n0,n4)),n5)
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6512,f7]) ).

fof(f6512,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),n5)
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6511,f86]) ).

fof(f86,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6511,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6510,f23]) ).

fof(f23,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6510,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3)))
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6509,f39]) ).

fof(f39,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6509,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3))))
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6498,f434]) ).

fof(f6498,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f6492,plain,
    ( ~ spl3_1
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6491]) ).

fof(f6491,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6490,f308]) ).

fof(f308,plain,
    n13 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6490,plain,
    ( n13 = sK2
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6489,f199]) ).

fof(f199,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6489,plain,
    ( sum(n10,n3) = sK2
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6488,f31]) ).

fof(f6488,plain,
    ( sK2 = sum(pred(n11),n3)
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6487,f47]) ).

fof(f6487,plain,
    ( sK2 = sum(pred(sum(n0,n11)),n3)
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6486,f14]) ).

fof(f14,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f6486,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),n3)
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6485,f205]) ).

fof(f205,plain,
    n3 = sum(n10,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6485,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,n9))
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6484,f30]) ).

fof(f6484,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10)))
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6483,f46]) ).

fof(f46,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6483,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10))))
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6472,f555]) ).

fof(f555,plain,
    ( n10 = sK1
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl3_27
  <=> n10 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f6472,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f6471,plain,
    ( ~ spl3_5
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6470]) ).

fof(f6470,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6469,f300]) ).

fof(f300,plain,
    n5 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6469,plain,
    ( n5 = sK2
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6468,f267]) ).

fof(f267,plain,
    n5 = sum(n14,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6468,plain,
    ( sum(n14,n7) = sK2
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6467,f35]) ).

fof(f6467,plain,
    ( sK2 = sum(pred(n15),n7)
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6466,f111]) ).

fof(f111,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6466,plain,
    ( sK2 = sum(pred(sum(n4,n11)),n7)
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6465,f14]) ).

fof(f6465,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),n7)
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6464,f209]) ).

fof(f209,plain,
    n7 = sum(n10,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6464,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,n13))
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6463,f34]) ).

fof(f6463,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(n14)))
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6462,f110]) ).

fof(f110,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6462,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(sum(n4,n10))))
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6450,f555]) ).

fof(f6450,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f6448,plain,
    ( ~ spl3_3
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6447]) ).

fof(f6447,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6446,f296]) ).

fof(f296,plain,
    n1 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6446,plain,
    ( n1 = sK2
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6445,f233]) ).

fof(f233,plain,
    n1 = sum(n12,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6445,plain,
    ( sum(n12,n5) = sK2
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6444,f33]) ).

fof(f6444,plain,
    ( sK2 = sum(pred(n13),n5)
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6443,f79]) ).

fof(f79,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6443,plain,
    ( sK2 = sum(pred(sum(n2,n11)),n5)
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6442,f14]) ).

fof(f6442,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),n5)
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6441,f207]) ).

fof(f207,plain,
    n5 = sum(n10,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6441,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,n11))
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6440,f32]) ).

fof(f6440,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(n12)))
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6439,f78]) ).

fof(f78,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6439,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(sum(n2,n10))))
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6427,f442]) ).

fof(f6427,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f6410,plain,
    ( ~ spl3_4
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6409]) ).

fof(f6409,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6408,f304]) ).

fof(f304,plain,
    n9 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6408,plain,
    ( n9 = sK2
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6407,f286]) ).

fof(f286,plain,
    n9 = sum(n15,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6407,plain,
    ( sum(n15,n10) = sK2
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6406,f20]) ).

fof(f6406,plain,
    ( sK2 = sum(pred(n0),n10)
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6405,f97]) ).

fof(f97,plain,
    n0 = sum(n3,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6405,plain,
    ( sK2 = sum(pred(sum(n3,n13)),n10)
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6404,f16]) ).

fof(f6404,plain,
    ( sK2 = sum(pred(sum(n3,succ(n12))),n10)
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6403,f242]) ).

fof(f242,plain,
    n10 = sum(n12,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f6403,plain,
    ( sK2 = sum(pred(sum(n3,succ(n12))),sum(n12,n14))
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6402,f35]) ).

fof(f6402,plain,
    ( sK2 = sum(pred(sum(n3,succ(n12))),sum(n12,pred(n15)))
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6401,f96]) ).

fof(f96,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6401,plain,
    ( sK2 = sum(pred(sum(n3,succ(n12))),sum(n12,pred(sum(n3,n12))))
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6388,f446]) ).

fof(f446,plain,
    ( n3 = sK0
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl3_4
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f6388,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f6387,plain,
    ( ~ spl3_4
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6386]) ).

fof(f6386,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6385,f298]) ).

fof(f6385,plain,
    ( n3 = sK2
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6384,f250]) ).

fof(f250,plain,
    n3 = sum(n13,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6384,plain,
    ( sum(n13,n6) = sK2
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6383,f34]) ).

fof(f6383,plain,
    ( sK2 = sum(pred(n14),n6)
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6382,f95]) ).

fof(f95,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6382,plain,
    ( sK2 = sum(pred(sum(n3,n11)),n6)
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6381,f14]) ).

fof(f6381,plain,
    ( sK2 = sum(pred(sum(n3,succ(n10))),n6)
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6380,f208]) ).

fof(f208,plain,
    n6 = sum(n10,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6380,plain,
    ( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,n12))
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6379,f33]) ).

fof(f6379,plain,
    ( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(n13)))
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6378,f94]) ).

fof(f94,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6378,plain,
    ( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(sum(n3,n10))))
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6366,f446]) ).

fof(f6366,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f6365,plain,
    ( ~ spl3_4
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6364]) ).

fof(f6364,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6363,f308]) ).

fof(f6363,plain,
    ( n13 = sK2
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6362,f214]) ).

fof(f214,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6362,plain,
    ( sum(n11,n2) = sK2
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6361,f32]) ).

fof(f6361,plain,
    ( sK2 = sum(pred(n12),n2)
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6360,f93]) ).

fof(f93,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6360,plain,
    ( sK2 = sum(pred(sum(n3,n9)),n2)
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6359,f12]) ).

fof(f6359,plain,
    ( sK2 = sum(pred(sum(n3,succ(n8))),n2)
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6358,f174]) ).

fof(f174,plain,
    n2 = sum(n8,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6358,plain,
    ( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,n10))
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6357,f31]) ).

fof(f6357,plain,
    ( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(n11)))
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6356,f92]) ).

fof(f92,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6356,plain,
    ( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(sum(n3,n8))))
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6344,f446]) ).

fof(f6344,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f6343,plain,
    ( ~ spl3_4
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6342]) ).

fof(f6342,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6341,f309]) ).

fof(f309,plain,
    n14 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6341,plain,
    ( n14 = sK2
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6340,f140]) ).

fof(f140,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6340,plain,
    ( sum(n6,n8) = sK2
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6339,f27]) ).

fof(f6339,plain,
    ( sK2 = sum(pred(n7),n8)
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6338,f88]) ).

fof(f6338,plain,
    ( sK2 = sum(pred(sum(n3,n4)),n8)
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6337,f7]) ).

fof(f6337,plain,
    ( sK2 = sum(pred(sum(n3,succ(n3))),n8)
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6336,f89]) ).

fof(f6336,plain,
    ( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,n5))
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6335,f26]) ).

fof(f6335,plain,
    ( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(n6)))
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6334,f87]) ).

fof(f87,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6334,plain,
    ( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(sum(n3,n3))))
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6323,f446]) ).

fof(f6323,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f6306,plain,
    ( ~ spl3_5
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6305]) ).

fof(f6305,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6304,f304]) ).

fof(f6304,plain,
    ( n9 = sK2
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6303,f211]) ).

fof(f211,plain,
    n9 = sum(n10,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f6303,plain,
    ( sum(n10,n15) = sK2
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6302,f31]) ).

fof(f6302,plain,
    ( sK2 = sum(pred(n11),n15)
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6301,f107]) ).

fof(f107,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6301,plain,
    ( sK2 = sum(pred(sum(n4,n7)),n15)
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6300,f10]) ).

fof(f10,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f6300,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),n15)
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6299,f141]) ).

fof(f141,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6299,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,n9))
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6298,f30]) ).

fof(f6298,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6297,f106]) ).

fof(f106,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6297,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6))))
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6285,f539]) ).

fof(f539,plain,
    ( n6 = sK1
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl3_23
  <=> n6 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f6285,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f6284,plain,
    ( ~ spl3_1
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6283]) ).

fof(f6283,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6282,f296]) ).

fof(f6282,plain,
    ( n1 = sK2
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6281,f143]) ).

fof(f143,plain,
    n1 = sum(n6,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6281,plain,
    ( sum(n6,n11) = sK2
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6280,f27]) ).

fof(f6280,plain,
    ( sK2 = sum(pred(n7),n11)
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6279,f43]) ).

fof(f43,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6279,plain,
    ( sK2 = sum(pred(sum(n0,n7)),n11)
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6278,f10]) ).

fof(f6278,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),n11)
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6277,f137]) ).

fof(f137,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6277,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,n5))
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6276,f26]) ).

fof(f6276,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6275,f42]) ).

fof(f42,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6275,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6))))
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6265,f539]) ).

fof(f6265,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f6264,plain,
    ( ~ spl3_3
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6263]) ).

fof(f6263,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6262,f300]) ).

fof(f6262,plain,
    ( n5 = sK2
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6261,f177]) ).

fof(f177,plain,
    n5 = sum(n8,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6261,plain,
    ( sum(n8,n13) = sK2
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6260,f29]) ).

fof(f6260,plain,
    ( sK2 = sum(pred(n9),n13)
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6259,f75]) ).

fof(f75,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6259,plain,
    ( sK2 = sum(pred(sum(n2,n7)),n13)
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6258,f10]) ).

fof(f6258,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),n13)
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6257,f139]) ).

fof(f139,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6257,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,n7))
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6256,f28]) ).

fof(f6256,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8)))
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6255,f74]) ).

fof(f74,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6255,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6))))
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6244,f539]) ).

fof(f6244,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f6243,plain,
    ( ~ spl3_4
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6242]) ).

fof(f6242,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6241,f302]) ).

fof(f6241,plain,
    ( n7 = sK2
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6240,f194]) ).

fof(f194,plain,
    n7 = sum(n9,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f6240,plain,
    ( sum(n9,n14) = sK2
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6239,f30]) ).

fof(f6239,plain,
    ( sK2 = sum(pred(n10),n14)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6238,f91]) ).

fof(f91,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6238,plain,
    ( sK2 = sum(pred(sum(n3,n7)),n14)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6237,f10]) ).

fof(f6237,plain,
    ( sK2 = sum(pred(sum(n3,succ(n6))),n14)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6236,f140]) ).

fof(f6236,plain,
    ( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,n8))
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6235,f29]) ).

fof(f6235,plain,
    ( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9)))
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6234,f90]) ).

fof(f6234,plain,
    ( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6))))
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6222,f539]) ).

fof(f6222,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f6220,plain,
    ( ~ spl3_6
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6219]) ).

fof(f6219,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6218,f306]) ).

fof(f6218,plain,
    ( n11 = sK2
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6217,f212]) ).

fof(f212,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6217,plain,
    ( sum(n11,n0) = sK2
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6216,f32]) ).

fof(f6216,plain,
    ( sK2 = sum(pred(n12),n0)
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6215,f123]) ).

fof(f6215,plain,
    ( sK2 = sum(pred(sum(n5,n7)),n0)
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6214,f10]) ).

fof(f6214,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),n0)
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6213,f142]) ).

fof(f142,plain,
    n0 = sum(n6,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6213,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6212,f31]) ).

fof(f6212,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(n11)))
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6211,f122]) ).

fof(f122,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6211,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6))))
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6199,f454]) ).

fof(f454,plain,
    ( n5 = sK0
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl3_6
  <=> n5 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f6199,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f6198,plain,
    ( ~ spl3_6
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6197]) ).

fof(f6197,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6196,f297]) ).

fof(f297,plain,
    n2 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6196,plain,
    ( n2 = sK2
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6195,f174]) ).

fof(f6195,plain,
    ( sum(n8,n10) = sK2
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6194,f29]) ).

fof(f6194,plain,
    ( sK2 = sum(pred(n9),n10)
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6193,f120]) ).

fof(f120,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6193,plain,
    ( sK2 = sum(pred(sum(n5,n4)),n10)
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6192,f7]) ).

fof(f6192,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),n10)
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6191,f91]) ).

fof(f6191,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,n7))
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6190,f28]) ).

fof(f6190,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(n8)))
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6189,f119]) ).

fof(f119,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6189,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(sum(n5,n3))))
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6177,f454]) ).

fof(f6177,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f6176,plain,
    ( ~ spl3_6
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6175]) ).

fof(f6175,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6174,f308]) ).

fof(f6174,plain,
    ( n13 = sK2
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6173,f64]) ).

fof(f64,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6173,plain,
    ( sum(n1,n12) = sK2
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6172,f22]) ).

fof(f22,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6172,plain,
    ( sK2 = sum(pred(n2),n12)
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6171,f129]) ).

fof(f129,plain,
    n2 = sum(n5,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6171,plain,
    ( sK2 = sum(pred(sum(n5,n13)),n12)
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6170,f16]) ).

fof(f6170,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),n12)
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6169,f228]) ).

fof(f228,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6169,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,n0))
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6168,f21]) ).

fof(f6168,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,pred(n1)))
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6167,f128]) ).

fof(f128,plain,
    n1 = sum(n5,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6167,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,pred(sum(n5,n12))))
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6154,f454]) ).

fof(f6154,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f6153,plain,
    ( ~ spl3_6
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6152]) ).

fof(f6152,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6151,f302]) ).

fof(f6151,plain,
    ( n7 = sK2
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6150,f284]) ).

fof(f284,plain,
    n7 = sum(n15,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6150,plain,
    ( sum(n15,n8) = sK2
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6149,f20]) ).

fof(f6149,plain,
    ( sK2 = sum(pred(n0),n8)
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6148,f127]) ).

fof(f127,plain,
    n0 = sum(n5,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6148,plain,
    ( sK2 = sum(pred(sum(n5,n11)),n8)
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6147,f14]) ).

fof(f6147,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),n8)
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6146,f210]) ).

fof(f210,plain,
    n8 = sum(n10,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f6146,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,n14))
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6145,f35]) ).

fof(f6145,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(n15)))
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6144,f126]) ).

fof(f126,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6144,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(sum(n5,n10))))
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6132,f454]) ).

fof(f6132,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f6131,plain,
    ( ~ spl3_6
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6130]) ).

fof(f6130,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6129,f296]) ).

fof(f6129,plain,
    ( n1 = sK2
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6128,f248]) ).

fof(f248,plain,
    n1 = sum(n13,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6128,plain,
    ( sum(n13,n4) = sK2
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6127,f34]) ).

fof(f6127,plain,
    ( sK2 = sum(pred(n14),n4)
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6126,f125]) ).

fof(f125,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f6126,plain,
    ( sK2 = sum(pred(sum(n5,n9)),n4)
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6125,f12]) ).

fof(f6125,plain,
    ( sK2 = sum(pred(sum(n5,succ(n8))),n4)
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6124,f176]) ).

fof(f176,plain,
    n4 = sum(n8,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f6124,plain,
    ( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,n12))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6123,f33]) ).

fof(f6123,plain,
    ( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(n13)))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6122,f124]) ).

fof(f124,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f6122,plain,
    ( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(sum(n5,n8))))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6111,f454]) ).

fof(f6111,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f6107,plain,
    ( ~ spl3_6
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f6106]) ).

fof(f6106,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f6105,f307]) ).

fof(f6105,plain,
    ( n12 = sK2
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6104,f138]) ).

fof(f138,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6104,plain,
    ( sum(n6,n6) = sK2
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6103,f27]) ).

fof(f6103,plain,
    ( sK2 = sum(pred(n7),n6)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6102,f118]) ).

fof(f118,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6102,plain,
    ( sK2 = sum(pred(sum(n5,n2)),n6)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6101,f5]) ).

fof(f5,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6101,plain,
    ( sK2 = sum(pred(sum(n5,succ(n1))),n6)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6100,f57]) ).

fof(f57,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6100,plain,
    ( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,n5))
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6099,f26]) ).

fof(f6099,plain,
    ( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(n6)))
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6098,f117]) ).

fof(f117,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6098,plain,
    ( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(sum(n5,n1))))
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6085,f519]) ).

fof(f519,plain,
    ( n1 = sK1
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl3_18
  <=> n1 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f6085,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f6084,plain,
    ( ~ spl3_3
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f6083]) ).

fof(f6083,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f6082,f301]) ).

fof(f301,plain,
    n6 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6082,plain,
    ( n6 = sK2
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6081,f87]) ).

fof(f6081,plain,
    ( sum(n3,n3) = sK2
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6080,f24]) ).

fof(f6080,plain,
    ( sK2 = sum(pred(n4),n3)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6079,f70]) ).

fof(f70,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6079,plain,
    ( sK2 = sum(pred(sum(n2,n2)),n3)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6078,f5]) ).

fof(f6078,plain,
    ( sK2 = sum(pred(sum(n2,succ(n1))),n3)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6077,f54]) ).

fof(f54,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6077,plain,
    ( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,n2))
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6076,f23]) ).

fof(f6076,plain,
    ( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(n3)))
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6075,f69]) ).

fof(f69,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6075,plain,
    ( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(sum(n2,n1))))
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6064,f519]) ).

fof(f6064,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f6063,plain,
    ( ~ spl3_1
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f6062]) ).

fof(f6062,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f6061,f297]) ).

fof(f6061,plain,
    ( n2 = sK2
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6060,f53]) ).

fof(f53,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6060,plain,
    ( sum(n1,n1) = sK2
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6059,f22]) ).

fof(f6059,plain,
    ( sK2 = sum(pred(n2),n1)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6058,f38]) ).

fof(f38,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6058,plain,
    ( sK2 = sum(pred(sum(n0,n2)),n1)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6057,f5]) ).

fof(f6057,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),n1)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6056,f52]) ).

fof(f52,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6056,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,n0))
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6055,f21]) ).

fof(f6055,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6054,f37]) ).

fof(f37,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6054,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6043,f519]) ).

fof(f6043,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f6042,plain,
    ( ~ spl3_4
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f6041]) ).

fof(f6041,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f6040,f303]) ).

fof(f6040,plain,
    ( n8 = sK2
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6039,f104]) ).

fof(f6039,plain,
    ( sum(n4,n4) = sK2
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6038,f25]) ).

fof(f6038,plain,
    ( sK2 = sum(pred(n5),n4)
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6037,f86]) ).

fof(f6037,plain,
    ( sK2 = sum(pred(sum(n3,n2)),n4)
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6036,f5]) ).

fof(f6036,plain,
    ( sK2 = sum(pred(sum(n3,succ(n1))),n4)
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6035,f55]) ).

fof(f55,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6035,plain,
    ( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,n3))
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6034,f24]) ).

fof(f6034,plain,
    ( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(n4)))
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6033,f85]) ).

fof(f85,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6033,plain,
    ( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(sum(n3,n1))))
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6021,f519]) ).

fof(f6021,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f6019,plain,
    ( ~ spl3_5
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f6018]) ).

fof(f6018,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f6017,f305]) ).

fof(f305,plain,
    n10 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f6017,plain,
    ( n10 = sK2
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6016,f121]) ).

fof(f121,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6016,plain,
    ( sum(n5,n5) = sK2
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6015,f26]) ).

fof(f6015,plain,
    ( sK2 = sum(pred(n6),n5)
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6014,f102]) ).

fof(f102,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6014,plain,
    ( sK2 = sum(pred(sum(n4,n2)),n5)
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6013,f5]) ).

fof(f6013,plain,
    ( sK2 = sum(pred(sum(n4,succ(n1))),n5)
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6012,f56]) ).

fof(f56,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6012,plain,
    ( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,n4))
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6011,f25]) ).

fof(f6011,plain,
    ( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(n5)))
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6010,f101]) ).

fof(f101,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6010,plain,
    ( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(sum(n4,n1))))
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f6000,f450]) ).

fof(f6000,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f5983,plain,
    ( ~ spl3_13
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f5982]) ).

fof(f5982,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f5981,f295]) ).

fof(f5981,plain,
    ( n0 = sK2
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5980,f277]) ).

fof(f277,plain,
    n0 = sum(n15,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5980,plain,
    ( sum(n15,n1) = sK2
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5979,f20]) ).

fof(f5979,plain,
    ( sK2 = sum(pred(n0),n1)
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5978,f232]) ).

fof(f232,plain,
    n0 = sum(n12,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5978,plain,
    ( sK2 = sum(pred(sum(n12,n4)),n1)
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5977,f7]) ).

fof(f5977,plain,
    ( sK2 = sum(pred(sum(n12,succ(n3))),n1)
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5976,f98]) ).

fof(f98,plain,
    n1 = sum(n3,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5976,plain,
    ( sK2 = sum(pred(sum(n12,succ(n3))),sum(n3,n14))
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5975,f35]) ).

fof(f5975,plain,
    ( sK2 = sum(pred(sum(n12,succ(n3))),sum(n3,pred(n15)))
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5974,f231]) ).

fof(f5974,plain,
    ( sK2 = sum(pred(sum(n12,succ(n3))),sum(n3,pred(sum(n12,n3))))
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5963,f482]) ).

fof(f482,plain,
    ( n12 = sK0
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl3_13
  <=> n12 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f5963,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f5962,plain,
    ( ~ spl3_13
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5961]) ).

fof(f5961,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5960,f305]) ).

fof(f5960,plain,
    ( n10 = sK2
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5959,f257]) ).

fof(f257,plain,
    n10 = sum(n13,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f5959,plain,
    ( sum(n13,n13) = sK2
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5958,f34]) ).

fof(f5958,plain,
    ( sK2 = sum(pred(n14),n13)
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5957,f230]) ).

fof(f230,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5957,plain,
    ( sK2 = sum(pred(sum(n12,n2)),n13)
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5956,f5]) ).

fof(f5956,plain,
    ( sK2 = sum(pred(sum(n12,succ(n1))),n13)
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5955,f64]) ).

fof(f5955,plain,
    ( sK2 = sum(pred(sum(n12,succ(n1))),sum(n1,n12))
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5954,f33]) ).

fof(f5954,plain,
    ( sK2 = sum(pred(sum(n12,succ(n1))),sum(n1,pred(n13)))
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5953,f229]) ).

fof(f229,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5953,plain,
    ( sK2 = sum(pred(sum(n12,succ(n1))),sum(n1,pred(sum(n12,n1))))
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5942,f482]) ).

fof(f5942,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f5941,plain,
    ( ~ spl3_13
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f5940]) ).

fof(f5940,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f5939,f300]) ).

fof(f5939,plain,
    ( n5 = sK2
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5938,f147]) ).

fof(f147,plain,
    n5 = sum(n6,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f5938,plain,
    ( sum(n6,n15) = sK2
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5937,f27]) ).

fof(f5937,plain,
    ( sK2 = sum(pred(n7),n15)
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5936,f239]) ).

fof(f5936,plain,
    ( sK2 = sum(pred(sum(n12,n11)),n15)
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5935,f14]) ).

fof(f5935,plain,
    ( sK2 = sum(pred(sum(n12,succ(n10))),n15)
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5934,f201]) ).

fof(f201,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5934,plain,
    ( sK2 = sum(pred(sum(n12,succ(n10))),sum(n10,n5))
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5933,f26]) ).

fof(f5933,plain,
    ( sK2 = sum(pred(sum(n12,succ(n10))),sum(n10,pred(n6)))
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5932,f238]) ).

fof(f238,plain,
    n6 = sum(n12,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f5932,plain,
    ( sK2 = sum(pred(sum(n12,succ(n10))),sum(n10,pred(sum(n12,n10))))
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5920,f482]) ).

fof(f5920,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f5919,plain,
    ( ~ spl3_13
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f5918]) ).

fof(f5918,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f5917,f306]) ).

fof(f5917,plain,
    ( n11 = sK2
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5916,f167]) ).

fof(f167,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5916,plain,
    ( sum(n8,n3) = sK2
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5915,f29]) ).

fof(f5915,plain,
    ( sK2 = sum(pred(n9),n3)
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5914,f241]) ).

fof(f5914,plain,
    ( sK2 = sum(pred(sum(n12,n13)),n3)
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5913,f16]) ).

fof(f5913,plain,
    ( sK2 = sum(pred(sum(n12,succ(n12))),n3)
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5912,f235]) ).

fof(f5912,plain,
    ( sK2 = sum(pred(sum(n12,succ(n12))),sum(n12,n7))
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5911,f28]) ).

fof(f5911,plain,
    ( sK2 = sum(pred(sum(n12,succ(n12))),sum(n12,pred(n8)))
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5910,f240]) ).

fof(f240,plain,
    n8 = sum(n12,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5910,plain,
    ( sK2 = sum(pred(sum(n12,succ(n12))),sum(n12,pred(sum(n12,n12))))
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5897,f482]) ).

fof(f5897,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f5896,plain,
    ( ~ spl3_13
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f5895]) ).

fof(f5895,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f5894,f304]) ).

fof(f5894,plain,
    ( n9 = sK2
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5893,f75]) ).

fof(f5893,plain,
    ( sum(n2,n7) = sK2
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5892,f23]) ).

fof(f5892,plain,
    ( sK2 = sum(pred(n3),n7)
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5891,f235]) ).

fof(f5891,plain,
    ( sK2 = sum(pred(sum(n12,n7)),n7)
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5890,f10]) ).

fof(f5890,plain,
    ( sK2 = sum(pred(sum(n12,succ(n6))),n7)
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5889,f133]) ).

fof(f133,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5889,plain,
    ( sK2 = sum(pred(sum(n12,succ(n6))),sum(n6,n1))
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5888,f22]) ).

fof(f5888,plain,
    ( sK2 = sum(pred(sum(n12,succ(n6))),sum(n6,pred(n2)))
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5887,f234]) ).

fof(f234,plain,
    n2 = sum(n12,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f5887,plain,
    ( sK2 = sum(pred(sum(n12,succ(n6))),sum(n6,pred(sum(n12,n6))))
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5875,f482]) ).

fof(f5875,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f5874,plain,
    ( ~ spl3_13
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f5873]) ).

fof(f5873,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f5872,f310]) ).

fof(f5872,plain,
    ( n15 = sK2
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5871,f111]) ).

fof(f5871,plain,
    ( sum(n4,n11) = sK2
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5870,f25]) ).

fof(f5870,plain,
    ( sK2 = sum(pred(n5),n11)
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5869,f237]) ).

fof(f237,plain,
    n5 = sum(n12,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f5869,plain,
    ( sK2 = sum(pred(sum(n12,n9)),n11)
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5868,f12]) ).

fof(f5868,plain,
    ( sK2 = sum(pred(sum(n12,succ(n8))),n11)
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5867,f167]) ).

fof(f5867,plain,
    ( sK2 = sum(pred(sum(n12,succ(n8))),sum(n8,n3))
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5866,f24]) ).

fof(f5866,plain,
    ( sK2 = sum(pred(sum(n12,succ(n8))),sum(n8,pred(n4)))
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5865,f236]) ).

fof(f236,plain,
    n4 = sum(n12,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f5865,plain,
    ( sK2 = sum(pred(sum(n12,succ(n8))),sum(n8,pred(sum(n12,n8))))
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5852,f482]) ).

fof(f5852,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f5849,plain,
    ( ~ spl3_13
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5848]) ).

fof(f5848,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5847,f309]) ).

fof(f5847,plain,
    ( n14 = sK2
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5846,f185]) ).

fof(f185,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5846,plain,
    ( sum(n9,n5) = sK2
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5845,f30]) ).

fof(f5845,plain,
    ( sK2 = sum(pred(n10),n5)
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5844,f242]) ).

fof(f5844,plain,
    ( sK2 = sum(pred(sum(n12,n14)),n5)
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5843,f17]) ).

fof(f17,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f3]) ).

fof(f5843,plain,
    ( sK2 = sum(pred(sum(n12,succ(n13))),n5)
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5842,f252]) ).

fof(f252,plain,
    n5 = sum(n13,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f5842,plain,
    ( sK2 = sum(pred(sum(n12,succ(n13))),sum(n13,n8))
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5841,f29]) ).

fof(f5841,plain,
    ( sK2 = sum(pred(sum(n12,succ(n13))),sum(n13,pred(n9)))
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5840,f241]) ).

fof(f5840,plain,
    ( sK2 = sum(pred(sum(n12,succ(n13))),sum(n13,pred(sum(n12,n13))))
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5826,f567]) ).

fof(f567,plain,
    ( n13 = sK1
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl3_30
  <=> n13 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f5826,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f5825,plain,
    ( ~ spl3_5
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5824]) ).

fof(f5824,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5823,f309]) ).

fof(f5823,plain,
    ( n14 = sK2
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5822,f65]) ).

fof(f65,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f5822,plain,
    ( sum(n1,n13) = sK2
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5821,f22]) ).

fof(f5821,plain,
    ( sK2 = sum(pred(n2),n13)
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5820,f114]) ).

fof(f114,plain,
    n2 = sum(n4,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5820,plain,
    ( sK2 = sum(pred(sum(n4,n14)),n13)
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5819,f17]) ).

fof(f5819,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),n13)
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5818,f244]) ).

fof(f244,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5818,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,n0))
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5817,f21]) ).

fof(f5817,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,pred(n1)))
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5816,f113]) ).

fof(f5816,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,pred(sum(n4,n13))))
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5805,f567]) ).

fof(f5805,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f5804,plain,
    ( ~ spl3_3
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5803]) ).

fof(f5803,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5802,f305]) ).

fof(f5802,plain,
    ( n10 = sK2
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5801,f287]) ).

fof(f287,plain,
    n10 = sum(n15,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f5801,plain,
    ( sum(n15,n11) = sK2
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5800,f20]) ).

fof(f5800,plain,
    ( sK2 = sum(pred(n0),n11)
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5799,f82]) ).

fof(f82,plain,
    n0 = sum(n2,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5799,plain,
    ( sK2 = sum(pred(sum(n2,n14)),n11)
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5798,f17]) ).

fof(f5798,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),n11)
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5797,f258]) ).

fof(f258,plain,
    n11 = sum(n13,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5797,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,n14))
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5796,f35]) ).

fof(f5796,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,pred(n15)))
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5795,f81]) ).

fof(f5795,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,pred(sum(n2,n13))))
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5785,f567]) ).

fof(f5785,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f5784,plain,
    ( ~ spl3_1
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5783]) ).

fof(f5783,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5782,f301]) ).

fof(f5782,plain,
    ( n6 = sK2
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5781,f253]) ).

fof(f253,plain,
    n6 = sum(n13,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f5781,plain,
    ( sum(n13,n9) = sK2
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5780,f34]) ).

fof(f5780,plain,
    ( sK2 = sum(pred(n14),n9)
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5779,f50]) ).

fof(f50,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5779,plain,
    ( sK2 = sum(pred(sum(n0,n14)),n9)
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5778,f17]) ).

fof(f5778,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),n9)
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5777,f256]) ).

fof(f256,plain,
    n9 = sum(n13,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5777,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,n12))
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5776,f33]) ).

fof(f5776,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(n13)))
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5775,f49]) ).

fof(f5775,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(sum(n0,n13))))
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5765,f567]) ).

fof(f5765,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f5764,plain,
    ( ~ spl3_4
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5763]) ).

fof(f5763,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5762,f307]) ).

fof(f5762,plain,
    ( n12 = sK2
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5761,f48]) ).

fof(f5761,plain,
    ( sum(n0,n12) = sK2
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5760,f21]) ).

fof(f5760,plain,
    ( sK2 = sum(pred(n1),n12)
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5759,f98]) ).

fof(f5759,plain,
    ( sK2 = sum(pred(sum(n3,n14)),n12)
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5758,f17]) ).

fof(f5758,plain,
    ( sK2 = sum(pred(sum(n3,succ(n13))),n12)
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5757,f259]) ).

fof(f259,plain,
    n12 = sum(n13,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f5757,plain,
    ( sK2 = sum(pred(sum(n3,succ(n13))),sum(n13,n15))
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5756,f20]) ).

fof(f5756,plain,
    ( sK2 = sum(pred(sum(n3,succ(n13))),sum(n13,pred(n0)))
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5755,f97]) ).

fof(f5755,plain,
    ( sK2 = sum(pred(sum(n3,succ(n13))),sum(n13,pred(sum(n3,n13))))
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5744,f567]) ).

fof(f5744,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f5742,plain,
    ( ~ spl3_6
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5741]) ).

fof(f5741,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5740,f295]) ).

fof(f5740,plain,
    ( n0 = sK2
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5739,f82]) ).

fof(f5739,plain,
    ( sum(n2,n14) = sK2
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5738,f23]) ).

fof(f5738,plain,
    ( sK2 = sum(pred(n3),n14)
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5737,f130]) ).

fof(f130,plain,
    n3 = sum(n5,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5737,plain,
    ( sK2 = sum(pred(sum(n5,n14)),n14)
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5736,f17]) ).

fof(f5736,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),n14)
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5735,f245]) ).

fof(f245,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5735,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,n1))
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5734,f22]) ).

fof(f5734,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,pred(n2)))
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5733,f129]) ).

fof(f5733,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,pred(sum(n5,n13))))
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5719,f454]) ).

fof(f5719,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f5702,plain,
    ( ~ spl3_12
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f5701]) ).

fof(f5701,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f5700,f304]) ).

fof(f5700,plain,
    ( n9 = sK2
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5699,f150]) ).

fof(f150,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5699,plain,
    ( sum(n7,n2) = sK2
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5698,f28]) ).

fof(f5698,plain,
    ( sK2 = sum(pred(n8),n2)
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5697,f225]) ).

fof(f225,plain,
    n8 = sum(n11,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f5697,plain,
    ( sK2 = sum(pred(sum(n11,n13)),n2)
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5696,f16]) ).

fof(f5696,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),n2)
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5695,f234]) ).

fof(f5695,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,n6))
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5694,f27]) ).

fof(f5694,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(n7)))
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5693,f224]) ).

fof(f224,plain,
    n7 = sum(n11,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5693,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(sum(n11,n12))))
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5680,f478]) ).

fof(f478,plain,
    ( n11 = sK0
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl3_12
  <=> n11 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f5680,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f5679,plain,
    ( ~ spl3_12
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f5678]) ).

fof(f5678,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f5677,f302]) ).

fof(f5677,plain,
    ( n7 = sK2
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5676,f58]) ).

fof(f58,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f5676,plain,
    ( sum(n1,n6) = sK2
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5675,f22]) ).

fof(f5675,plain,
    ( sK2 = sum(pred(n2),n6)
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5674,f219]) ).

fof(f219,plain,
    n2 = sum(n11,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f5674,plain,
    ( sK2 = sum(pred(sum(n11,n7)),n6)
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5673,f10]) ).

fof(f5673,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),n6)
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5672,f132]) ).

fof(f132,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5672,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,n0))
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5671,f21]) ).

fof(f5671,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,pred(n1)))
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5670,f218]) ).

fof(f218,plain,
    n1 = sum(n11,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f5670,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,pred(sum(n11,n6))))
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5657,f478]) ).

fof(f5657,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f5656,plain,
    ( ~ spl3_12
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5655]) ).

fof(f5655,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5654,f307]) ).

fof(f5654,plain,
    ( n12 = sK2
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5653,f168]) ).

fof(f168,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5653,plain,
    ( sum(n8,n4) = sK2
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5652,f29]) ).

fof(f5652,plain,
    ( sK2 = sum(pred(n9),n4)
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5651,f226]) ).

fof(f226,plain,
    n9 = sum(n11,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5651,plain,
    ( sK2 = sum(pred(sum(n11,n14)),n4)
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5650,f17]) ).

fof(f5650,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),n4)
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5649,f251]) ).

fof(f251,plain,
    n4 = sum(n13,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f5649,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,n7))
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5648,f28]) ).

fof(f5648,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(n8)))
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5647,f225]) ).

fof(f5647,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(sum(n11,n13))))
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5633,f478]) ).

fof(f5633,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f5632,plain,
    ( ~ spl3_12
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5631]) ).

fof(f5631,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5630,f303]) ).

fof(f5630,plain,
    ( n8 = sK2
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5629,f240]) ).

fof(f5629,plain,
    ( sum(n12,n12) = sK2
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5628,f33]) ).

fof(f5628,plain,
    ( sK2 = sum(pred(n13),n12)
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5627,f214]) ).

fof(f5627,plain,
    ( sK2 = sum(pred(sum(n11,n2)),n12)
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5626,f5]) ).

fof(f5626,plain,
    ( sK2 = sum(pred(sum(n11,succ(n1))),n12)
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5625,f63]) ).

fof(f63,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f5625,plain,
    ( sK2 = sum(pred(sum(n11,succ(n1))),sum(n1,n11))
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5624,f32]) ).

fof(f5624,plain,
    ( sK2 = sum(pred(sum(n11,succ(n1))),sum(n1,pred(n12)))
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5623,f213]) ).

fof(f213,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5623,plain,
    ( sK2 = sum(pred(sum(n11,succ(n1))),sum(n1,pred(sum(n11,n1))))
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5612,f478]) ).

fof(f5612,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f5611,plain,
    ( ~ spl3_12
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f5610]) ).

fof(f5610,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f5609,f298]) ).

fof(f5609,plain,
    ( n3 = sK2
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5608,f130]) ).

fof(f5608,plain,
    ( sum(n5,n14) = sK2
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5607,f26]) ).

fof(f5607,plain,
    ( sK2 = sum(pred(n6),n14)
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5606,f223]) ).

fof(f223,plain,
    n6 = sum(n11,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f5606,plain,
    ( sK2 = sum(pred(sum(n11,n11)),n14)
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5605,f14]) ).

fof(f5605,plain,
    ( sK2 = sum(pred(sum(n11,succ(n10))),n14)
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5604,f200]) ).

fof(f200,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5604,plain,
    ( sK2 = sum(pred(sum(n11,succ(n10))),sum(n10,n4))
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5603,f25]) ).

fof(f5603,plain,
    ( sK2 = sum(pred(sum(n11,succ(n10))),sum(n10,pred(n5)))
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5602,f222]) ).

fof(f222,plain,
    n5 = sum(n11,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f5602,plain,
    ( sK2 = sum(pred(sum(n11,succ(n10))),sum(n10,pred(sum(n11,n10))))
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5590,f478]) ).

fof(f5590,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f5589,plain,
    ( ~ spl3_12
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f5588]) ).

fof(f5588,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f5587,f309]) ).

fof(f5587,plain,
    ( n14 = sK2
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5586,f260]) ).

fof(f260,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5586,plain,
    ( sum(n14,n0) = sK2
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5585,f35]) ).

fof(f5585,plain,
    ( sK2 = sum(pred(n15),n0)
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5584,f216]) ).

fof(f216,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5584,plain,
    ( sK2 = sum(pred(sum(n11,n4)),n0)
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5583,f7]) ).

fof(f5583,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),n0)
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5582,f97]) ).

fof(f5582,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,n13))
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5581,f34]) ).

fof(f5581,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,pred(n14)))
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5580,f215]) ).

fof(f215,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5580,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,pred(sum(n11,n3))))
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5569,f478]) ).

fof(f5569,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f5568,plain,
    ( ~ spl3_12
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f5567]) ).

fof(f5567,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f5566,f308]) ).

fof(f5566,plain,
    ( n13 = sK2
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5565,f94]) ).

fof(f5565,plain,
    ( sum(n3,n10) = sK2
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5564,f24]) ).

fof(f5564,plain,
    ( sK2 = sum(pred(n4),n10)
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5563,f221]) ).

fof(f221,plain,
    n4 = sum(n11,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f5563,plain,
    ( sK2 = sum(pred(sum(n11,n9)),n10)
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5562,f12]) ).

fof(f5562,plain,
    ( sK2 = sum(pred(sum(n11,succ(n8))),n10)
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5561,f166]) ).

fof(f166,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5561,plain,
    ( sK2 = sum(pred(sum(n11,succ(n8))),sum(n8,n2))
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5560,f23]) ).

fof(f5560,plain,
    ( sK2 = sum(pred(sum(n11,succ(n8))),sum(n8,pred(n3)))
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5559,f220]) ).

fof(f220,plain,
    n3 = sum(n11,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f5559,plain,
    ( sK2 = sum(pred(sum(n11,succ(n8))),sum(n8,pred(sum(n11,n8))))
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5547,f478]) ).

fof(f5547,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f5530,plain,
    ( ~ spl3_6
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5529]) ).

fof(f5529,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5528,f305]) ).

fof(f5528,plain,
    ( n10 = sK2
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5527,f46]) ).

fof(f5527,plain,
    ( sum(n0,n10) = sK2
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5526,f21]) ).

fof(f5526,plain,
    ( sK2 = sum(pred(n1),n10)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5525,f128]) ).

fof(f5525,plain,
    ( sK2 = sum(pred(sum(n5,n12)),n10)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5524,f15]) ).

fof(f15,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f3]) ).

fof(f5524,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),n10)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5523,f227]) ).

fof(f227,plain,
    n10 = sum(n11,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f5523,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,n15))
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5522,f20]) ).

fof(f5522,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,pred(n0)))
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5521,f127]) ).

fof(f5521,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,pred(sum(n5,n11))))
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5508,f559]) ).

fof(f559,plain,
    ( n11 = sK1
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl3_28
  <=> n11 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f5508,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f5507,plain,
    ( ~ spl3_5
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5506]) ).

fof(f5506,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5505,f303]) ).

fof(f5505,plain,
    ( n8 = sK2
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5504,f285]) ).

fof(f285,plain,
    n8 = sum(n15,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f5504,plain,
    ( sum(n15,n9) = sK2
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5503,f20]) ).

fof(f5503,plain,
    ( sK2 = sum(pred(n0),n9)
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5502,f112]) ).

fof(f5502,plain,
    ( sK2 = sum(pred(sum(n4,n12)),n9)
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5501,f15]) ).

fof(f5501,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),n9)
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5500,f226]) ).

fof(f5500,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,n14))
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5499,f35]) ).

fof(f5499,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,pred(n15)))
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5498,f111]) ).

fof(f5498,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,pred(sum(n4,n11))))
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5485,f559]) ).

fof(f5485,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f5484,plain,
    ( ~ spl3_13
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5483]) ).

fof(f5483,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5482,f303]) ).

fof(f5482,plain,
    ( n8 = sK2
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5481,f149]) ).

fof(f149,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5481,plain,
    ( sum(n7,n1) = sK2
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5480,f28]) ).

fof(f5480,plain,
    ( sK2 = sum(pred(n8),n1)
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5479,f240]) ).

fof(f5479,plain,
    ( sK2 = sum(pred(sum(n12,n12)),n1)
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5478,f15]) ).

fof(f5478,plain,
    ( sK2 = sum(pred(sum(n12,succ(n11))),n1)
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5477,f218]) ).

fof(f5477,plain,
    ( sK2 = sum(pred(sum(n12,succ(n11))),sum(n11,n6))
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5476,f27]) ).

fof(f5476,plain,
    ( sK2 = sum(pred(sum(n12,succ(n11))),sum(n11,pred(n7)))
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5475,f239]) ).

fof(f5475,plain,
    ( sK2 = sum(pred(sum(n12,succ(n11))),sum(n11,pred(sum(n12,n11))))
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5461,f559]) ).

fof(f5461,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f5460,plain,
    ( ~ spl3_4
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5459]) ).

fof(f5459,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5458,f301]) ).

fof(f5458,plain,
    ( n6 = sK2
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5457,f268]) ).

fof(f268,plain,
    n6 = sum(n14,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f5457,plain,
    ( sum(n14,n8) = sK2
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5456,f35]) ).

fof(f5456,plain,
    ( sK2 = sum(pred(n15),n8)
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5455,f96]) ).

fof(f5455,plain,
    ( sK2 = sum(pred(sum(n3,n12)),n8)
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5454,f15]) ).

fof(f5454,plain,
    ( sK2 = sum(pred(sum(n3,succ(n11))),n8)
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5453,f225]) ).

fof(f5453,plain,
    ( sK2 = sum(pred(sum(n3,succ(n11))),sum(n11,n13))
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5452,f34]) ).

fof(f5452,plain,
    ( sK2 = sum(pred(sum(n3,succ(n11))),sum(n11,pred(n14)))
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5451,f95]) ).

fof(f5451,plain,
    ( sK2 = sum(pred(sum(n3,succ(n11))),sum(n11,pred(sum(n3,n11))))
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5439,f559]) ).

fof(f5439,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f5438,plain,
    ( ~ spl3_12
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5437]) ).

fof(f5437,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5436,f301]) ).

fof(f5436,plain,
    ( n6 = sK2
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5435,f132]) ).

fof(f5435,plain,
    ( sum(n6,n0) = sK2
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5434,f27]) ).

fof(f5434,plain,
    ( sK2 = sum(pred(n7),n0)
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5433,f224]) ).

fof(f5433,plain,
    ( sK2 = sum(pred(sum(n11,n12)),n0)
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5432,f15]) ).

fof(f5432,plain,
    ( sK2 = sum(pred(sum(n11,succ(n11))),n0)
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5431,f217]) ).

fof(f217,plain,
    n0 = sum(n11,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5431,plain,
    ( sK2 = sum(pred(sum(n11,succ(n11))),sum(n11,n5))
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5430,f26]) ).

fof(f5430,plain,
    ( sK2 = sum(pred(sum(n11,succ(n11))),sum(n11,pred(n6)))
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5429,f223]) ).

fof(f5429,plain,
    ( sK2 = sum(pred(sum(n11,succ(n11))),sum(n11,pred(sum(n11,n11))))
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5416,f559]) ).

fof(f5416,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f5415,plain,
    ( ~ spl3_1
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5414]) ).

fof(f5414,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5413,f295]) ).

fof(f5413,plain,
    ( n0 = sK2
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5412,f217]) ).

fof(f5412,plain,
    ( sum(n11,n5) = sK2
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5411,f32]) ).

fof(f5411,plain,
    ( sK2 = sum(pred(n12),n5)
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5410,f48]) ).

fof(f5410,plain,
    ( sK2 = sum(pred(sum(n0,n12)),n5)
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5409,f15]) ).

fof(f5409,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),n5)
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5408,f222]) ).

fof(f5408,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,n10))
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5407,f31]) ).

fof(f5407,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,pred(n11)))
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5406,f47]) ).

fof(f5406,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11))))
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5396,f559]) ).

fof(f5396,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f5394,plain,
    ( ~ spl3_3
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5393]) ).

fof(f5393,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5392,f299]) ).

fof(f299,plain,
    n4 != sK2,
    inference(cnf_transformation,[],[f3]) ).

fof(f5392,plain,
    ( n4 = sK2
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5391,f251]) ).

fof(f5391,plain,
    ( sum(n13,n7) = sK2
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5390,f34]) ).

fof(f5390,plain,
    ( sK2 = sum(pred(n14),n7)
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5389,f80]) ).

fof(f5389,plain,
    ( sK2 = sum(pred(sum(n2,n12)),n7)
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5388,f15]) ).

fof(f5388,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),n7)
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5387,f224]) ).

fof(f5387,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,n12))
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5386,f33]) ).

fof(f5386,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,pred(n13)))
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5385,f79]) ).

fof(f5385,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,pred(sum(n2,n11))))
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5372,f442]) ).

fof(f5372,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f5355,plain,
    ( ~ spl3_11
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5354]) ).

fof(f5354,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5353,f301]) ).

fof(f5353,plain,
    ( n6 = sK2
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5352,f223]) ).

fof(f5352,plain,
    ( sum(n11,n11) = sK2
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5351,f32]) ).

fof(f5351,plain,
    ( sK2 = sum(pred(n12),n11)
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5350,f198]) ).

fof(f198,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5350,plain,
    ( sK2 = sum(pred(sum(n10,n2)),n11)
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5349,f5]) ).

fof(f5349,plain,
    ( sK2 = sum(pred(sum(n10,succ(n1))),n11)
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5348,f62]) ).

fof(f62,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f5348,plain,
    ( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,n10))
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5347,f31]) ).

fof(f5347,plain,
    ( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(n11)))
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5346,f197]) ).

fof(f5346,plain,
    ( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(sum(n10,n1))))
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5334,f474]) ).

fof(f474,plain,
    ( n10 = sK0
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl3_11
  <=> n10 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f5334,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f5333,plain,
    ( ~ spl3_11
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f5332]) ).

fof(f5332,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f5331,f296]) ).

fof(f5331,plain,
    ( n1 = sK2
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5330,f113]) ).

fof(f5330,plain,
    ( sum(n4,n13) = sK2
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5329,f25]) ).

fof(f5329,plain,
    ( sK2 = sum(pred(n5),n13)
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5328,f207]) ).

fof(f5328,plain,
    ( sK2 = sum(pred(sum(n10,n11)),n13)
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5327,f14]) ).

fof(f5327,plain,
    ( sK2 = sum(pred(sum(n10,succ(n10))),n13)
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5326,f199]) ).

fof(f5326,plain,
    ( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,n3))
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5325,f24]) ).

fof(f5325,plain,
    ( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(n4)))
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5324,f206]) ).

fof(f206,plain,
    n4 = sum(n10,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f5324,plain,
    ( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(sum(n10,n10))))
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5311,f474]) ).

fof(f5311,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f5310,plain,
    ( ~ spl3_11
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f5309]) ).

fof(f5309,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f5308,f307]) ).

fof(f5308,plain,
    ( n12 = sK2
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5307,f259]) ).

fof(f5307,plain,
    ( sum(n13,n15) = sK2
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5306,f34]) ).

fof(f5306,plain,
    ( sK2 = sum(pred(n14),n15)
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5305,f200]) ).

fof(f5305,plain,
    ( sK2 = sum(pred(sum(n10,n4)),n15)
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5304,f7]) ).

fof(f5304,plain,
    ( sK2 = sum(pred(sum(n10,succ(n3))),n15)
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5303,f96]) ).

fof(f5303,plain,
    ( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,n12))
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5302,f33]) ).

fof(f5302,plain,
    ( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(n13)))
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5301,f199]) ).

fof(f5301,plain,
    ( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(sum(n10,n3))))
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5288,f474]) ).

fof(f5288,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f5287,plain,
    ( ~ spl3_11
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5286]) ).

fof(f5286,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5285,f305]) ).

fof(f5285,plain,
    ( n10 = sK2
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5284,f151]) ).

fof(f151,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5284,plain,
    ( sum(n7,n3) = sK2
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5283,f28]) ).

fof(f5283,plain,
    ( sK2 = sum(pred(n8),n3)
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5282,f210]) ).

fof(f5282,plain,
    ( sK2 = sum(pred(sum(n10,n14)),n3)
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5281,f17]) ).

fof(f5281,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),n3)
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5280,f250]) ).

fof(f5280,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,n6))
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5279,f27]) ).

fof(f5279,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,pred(n7)))
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5278,f209]) ).

fof(f5278,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,pred(sum(n10,n13))))
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5264,f474]) ).

fof(f5264,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f5263,plain,
    ( ~ spl3_11
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f5262]) ).

fof(f5262,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f5261,f300]) ).

fof(f5261,plain,
    ( n5 = sK2
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5260,f41]) ).

fof(f41,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5260,plain,
    ( sum(n0,n5) = sK2
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5259,f21]) ).

fof(f5259,plain,
    ( sK2 = sum(pred(n1),n5)
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5258,f203]) ).

fof(f203,plain,
    n1 = sum(n10,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f5258,plain,
    ( sK2 = sum(pred(sum(n10,n7)),n5)
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5257,f10]) ).

fof(f5257,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),n5)
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5256,f147]) ).

fof(f5256,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,n15))
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5255,f20]) ).

fof(f5255,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(n0)))
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5254,f202]) ).

fof(f202,plain,
    n0 = sum(n10,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f5254,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6))))
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5242,f474]) ).

fof(f5242,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f5241,plain,
    ( ~ spl3_11
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f5240]) ).

fof(f5240,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f5239,f302]) ).

fof(f5239,plain,
    ( n7 = sK2
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5238,f133]) ).

fof(f5238,plain,
    ( sum(n6,n1) = sK2
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5237,f27]) ).

fof(f5237,plain,
    ( sK2 = sum(pred(n7),n1)
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5236,f209]) ).

fof(f5236,plain,
    ( sK2 = sum(pred(sum(n10,n13)),n1)
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5235,f16]) ).

fof(f5235,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),n1)
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5234,f233]) ).

fof(f5234,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,n5))
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5233,f26]) ).

fof(f5233,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(n6)))
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5232,f208]) ).

fof(f5232,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(sum(n10,n12))))
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5219,f474]) ).

fof(f5219,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f5218,plain,
    ( ~ spl3_11
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5217]) ).

fof(f5217,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5216,f299]) ).

fof(f5216,plain,
    ( n4 = sK2
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5215,f131]) ).

fof(f131,plain,
    n4 = sum(n5,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f5215,plain,
    ( sum(n5,n15) = sK2
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5214,f26]) ).

fof(f5214,plain,
    ( sK2 = sum(pred(n6),n15)
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5213,f208]) ).

fof(f5213,plain,
    ( sK2 = sum(pred(sum(n10,n12)),n15)
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5212,f15]) ).

fof(f5212,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),n15)
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5211,f216]) ).

fof(f5211,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,n4))
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5210,f25]) ).

fof(f5210,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(n5)))
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5209,f207]) ).

fof(f5209,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(sum(n10,n11))))
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5197,f474]) ).

fof(f5197,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f5196,plain,
    ( ~ spl3_11
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f5195]) ).

fof(f5195,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f5194,f306]) ).

fof(f5194,plain,
    ( n11 = sK2
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5193,f77]) ).

fof(f5193,plain,
    ( sum(n2,n9) = sK2
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5192,f23]) ).

fof(f5192,plain,
    ( sK2 = sum(pred(n3),n9)
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5191,f205]) ).

fof(f5191,plain,
    ( sK2 = sum(pred(sum(n10,n9)),n9)
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5190,f12]) ).

fof(f5190,plain,
    ( sK2 = sum(pred(sum(n10,succ(n8))),n9)
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5189,f165]) ).

fof(f165,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5189,plain,
    ( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,n1))
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5188,f22]) ).

fof(f5188,plain,
    ( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(n2)))
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5187,f204]) ).

fof(f204,plain,
    n2 = sum(n10,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f5187,plain,
    ( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(sum(n10,n8))))
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5177,f474]) ).

fof(f5177,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f5160,plain,
    ( ~ spl3_12
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5159]) ).

fof(f5159,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5158,f295]) ).

fof(f5158,plain,
    ( n0 = sK2
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5157,f112]) ).

fof(f5157,plain,
    ( sum(n4,n12) = sK2
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5156,f25]) ).

fof(f5156,plain,
    ( sK2 = sum(pred(n5),n12)
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5155,f222]) ).

fof(f5155,plain,
    ( sK2 = sum(pred(sum(n11,n10)),n12)
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5154,f13]) ).

fof(f13,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f5154,plain,
    ( sK2 = sum(pred(sum(n11,succ(n9))),n12)
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5153,f183]) ).

fof(f183,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5153,plain,
    ( sK2 = sum(pred(sum(n11,succ(n9))),sum(n9,n3))
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5152,f24]) ).

fof(f5152,plain,
    ( sK2 = sum(pred(sum(n11,succ(n9))),sum(n9,pred(n4)))
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5151,f221]) ).

fof(f5151,plain,
    ( sK2 = sum(pred(sum(n11,succ(n9))),sum(n9,pred(sum(n11,n9))))
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5138,f551]) ).

fof(f551,plain,
    ( n9 = sK1
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl3_26
  <=> n9 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f5138,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f5137,plain,
    ( ~ spl3_13
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5136]) ).

fof(f5136,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5135,f297]) ).

fof(f5135,plain,
    ( n2 = sK2
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5134,f129]) ).

fof(f5134,plain,
    ( sum(n5,n13) = sK2
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5133,f26]) ).

fof(f5133,plain,
    ( sK2 = sum(pred(n6),n13)
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5132,f238]) ).

fof(f5132,plain,
    ( sK2 = sum(pred(sum(n12,n10)),n13)
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5131,f13]) ).

fof(f5131,plain,
    ( sK2 = sum(pred(sum(n12,succ(n9))),n13)
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5130,f184]) ).

fof(f184,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5130,plain,
    ( sK2 = sum(pred(sum(n12,succ(n9))),sum(n9,n4))
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5129,f25]) ).

fof(f5129,plain,
    ( sK2 = sum(pred(sum(n12,succ(n9))),sum(n9,pred(n5)))
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5128,f237]) ).

fof(f5128,plain,
    ( sK2 = sum(pred(sum(n12,succ(n9))),sum(n9,pred(sum(n12,n9))))
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5114,f551]) ).

fof(f5114,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f5113,plain,
    ( ~ spl3_5
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5112]) ).

fof(f5112,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5111,f297]) ).

fof(f5111,plain,
    ( n2 = sK2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5110,f249]) ).

fof(f249,plain,
    n2 = sum(n13,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5110,plain,
    ( sum(n13,n5) = sK2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5109,f34]) ).

fof(f5109,plain,
    ( sK2 = sum(pred(n14),n5)
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5108,f110]) ).

fof(f5108,plain,
    ( sK2 = sum(pred(sum(n4,n10)),n5)
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5107,f13]) ).

fof(f5107,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),n5)
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5106,f192]) ).

fof(f192,plain,
    n5 = sum(n9,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5106,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,n12))
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5105,f33]) ).

fof(f5105,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(n13)))
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5104,f109]) ).

fof(f5104,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9))))
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5094,f551]) ).

fof(f5094,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f5093,plain,
    ( ~ spl3_4
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5092]) ).

fof(f5092,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5091,f295]) ).

fof(f5091,plain,
    ( n0 = sK2
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5090,f232]) ).

fof(f5090,plain,
    ( sum(n12,n4) = sK2
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5089,f33]) ).

fof(f5089,plain,
    ( sK2 = sum(pred(n13),n4)
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5088,f94]) ).

fof(f5088,plain,
    ( sK2 = sum(pred(sum(n3,n10)),n4)
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5087,f13]) ).

fof(f5087,plain,
    ( sK2 = sum(pred(sum(n3,succ(n9))),n4)
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5086,f191]) ).

fof(f191,plain,
    n4 = sum(n9,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f5086,plain,
    ( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,n11))
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5085,f32]) ).

fof(f5085,plain,
    ( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(n12)))
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5084,f93]) ).

fof(f5084,plain,
    ( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(sum(n3,n9))))
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5074,f551]) ).

fof(f5074,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f5073,plain,
    ( ~ spl3_6
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5072]) ).

fof(f5072,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5071,f299]) ).

fof(f5071,plain,
    ( n4 = sK2
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5070,f266]) ).

fof(f266,plain,
    n4 = sum(n14,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f5070,plain,
    ( sum(n14,n6) = sK2
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5069,f35]) ).

fof(f5069,plain,
    ( sK2 = sum(pred(n15),n6)
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5068,f126]) ).

fof(f5068,plain,
    ( sK2 = sum(pred(sum(n5,n10)),n6)
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5067,f13]) ).

fof(f5067,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),n6)
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5066,f193]) ).

fof(f193,plain,
    n6 = sum(n9,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f5066,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,n13))
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5065,f34]) ).

fof(f5065,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(n14)))
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5064,f125]) ).

fof(f5064,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(sum(n5,n9))))
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5053,f551]) ).

fof(f5053,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f5052,plain,
    ( ~ spl3_3
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5051]) ).

fof(f5051,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5050,f309]) ).

fof(f5050,plain,
    ( n14 = sK2
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5049,f215]) ).

fof(f5049,plain,
    ( sum(n11,n3) = sK2
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5048,f32]) ).

fof(f5048,plain,
    ( sK2 = sum(pred(n12),n3)
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5047,f78]) ).

fof(f5047,plain,
    ( sK2 = sum(pred(sum(n2,n10)),n3)
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5046,f13]) ).

fof(f5046,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),n3)
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5045,f190]) ).

fof(f190,plain,
    n3 = sum(n9,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f5045,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,n10))
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5044,f31]) ).

fof(f5044,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(n11)))
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5043,f77]) ).

fof(f5043,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9))))
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5032,f551]) ).

fof(f5032,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f5031,plain,
    ( ~ spl3_1
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5030]) ).

fof(f5030,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5029,f305]) ).

fof(f5029,plain,
    ( n10 = sK2
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5028,f181]) ).

fof(f181,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f5028,plain,
    ( sum(n9,n1) = sK2
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5027,f30]) ).

fof(f5027,plain,
    ( sK2 = sum(pred(n10),n1)
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5026,f46]) ).

fof(f5026,plain,
    ( sK2 = sum(pred(sum(n0,n10)),n1)
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5025,f13]) ).

fof(f5025,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),n1)
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5024,f188]) ).

fof(f188,plain,
    n1 = sum(n9,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f5024,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5023,f29]) ).

fof(f5023,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9)))
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5022,f45]) ).

fof(f5022,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9))))
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5011,f551]) ).

fof(f5011,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f5009,plain,
    ( ~ spl3_11
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5008]) ).

fof(f5008,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f5007,f309]) ).

fof(f5007,plain,
    ( n14 = sK2
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5006,f95]) ).

fof(f5006,plain,
    ( sum(n3,n11) = sK2
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5005,f24]) ).

fof(f5005,plain,
    ( sK2 = sum(pred(n4),n11)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5004,f206]) ).

fof(f5004,plain,
    ( sK2 = sum(pred(sum(n10,n10)),n11)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5003,f13]) ).

fof(f5003,plain,
    ( sK2 = sum(pred(sum(n10,succ(n9))),n11)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5002,f182]) ).

fof(f182,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5002,plain,
    ( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,n2))
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5001,f23]) ).

fof(f5001,plain,
    ( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(n3)))
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f5000,f205]) ).

fof(f5000,plain,
    ( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9))))
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4989,f474]) ).

fof(f4989,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f4972,plain,
    ( ~ spl3_10
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f4971]) ).

fof(f4971,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f4970,f299]) ).

fof(f4970,plain,
    ( n4 = sK2
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4969,f206]) ).

fof(f4969,plain,
    ( sum(n10,n10) = sK2
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4968,f31]) ).

fof(f4968,plain,
    ( sK2 = sum(pred(n11),n10)
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4967,f182]) ).

fof(f4967,plain,
    ( sK2 = sum(pred(sum(n9,n2)),n10)
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4966,f5]) ).

fof(f4966,plain,
    ( sK2 = sum(pred(sum(n9,succ(n1))),n10)
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4965,f61]) ).

fof(f61,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f4965,plain,
    ( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,n9))
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4964,f30]) ).

fof(f4964,plain,
    ( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(n10)))
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4963,f181]) ).

fof(f4963,plain,
    ( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(sum(n9,n1))))
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4952,f470]) ).

fof(f470,plain,
    ( n9 = sK0
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl3_10
  <=> n9 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f4952,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f4951,plain,
    ( ~ spl3_10
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f4950]) ).

fof(f4950,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f4949,f297]) ).

fof(f4949,plain,
    ( n2 = sK2
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4948,f114]) ).

fof(f4948,plain,
    ( sum(n4,n14) = sK2
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4947,f25]) ).

fof(f4947,plain,
    ( sK2 = sum(pred(n5),n14)
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4946,f192]) ).

fof(f4946,plain,
    ( sK2 = sum(pred(sum(n9,n12)),n14)
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4945,f15]) ).

fof(f4945,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),n14)
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4944,f215]) ).

fof(f4944,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,n3))
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4943,f24]) ).

fof(f4943,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,pred(n4)))
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4942,f191]) ).

fof(f4942,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,pred(sum(n9,n11))))
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4930,f470]) ).

fof(f4930,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f4929,plain,
    ( ~ spl3_10
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f4928]) ).

fof(f4928,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f4927,f298]) ).

fof(f4927,plain,
    ( n3 = sK2
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4926,f280]) ).

fof(f280,plain,
    n3 = sum(n15,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f4926,plain,
    ( sum(n15,n4) = sK2
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4925,f20]) ).

fof(f4925,plain,
    ( sK2 = sum(pred(n0),n4)
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4924,f187]) ).

fof(f187,plain,
    n0 = sum(n9,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f4924,plain,
    ( sK2 = sum(pred(sum(n9,n7)),n4)
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4923,f10]) ).

fof(f4923,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),n4)
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4922,f146]) ).

fof(f146,plain,
    n4 = sum(n6,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f4922,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,n14))
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4921,f35]) ).

fof(f4921,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n15)))
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4920,f186]) ).

fof(f186,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f4920,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4909,f470]) ).

fof(f4909,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f4908,plain,
    ( ~ spl3_10
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f4907]) ).

fof(f4907,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f4906,f310]) ).

fof(f4906,plain,
    ( n15 = sK2
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4905,f96]) ).

fof(f4905,plain,
    ( sum(n3,n12) = sK2
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4904,f24]) ).

fof(f4904,plain,
    ( sK2 = sum(pred(n4),n12)
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4903,f191]) ).

fof(f4903,plain,
    ( sK2 = sum(pred(sum(n9,n11)),n12)
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4902,f14]) ).

fof(f4902,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),n12)
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4901,f198]) ).

fof(f4901,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,n2))
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4900,f23]) ).

fof(f4900,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(n3)))
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4899,f190]) ).

fof(f4899,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(sum(n9,n10))))
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4887,f470]) ).

fof(f4887,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f4886,plain,
    ( ~ spl3_10
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f4885]) ).

fof(f4885,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f4884,f300]) ).

fof(f4884,plain,
    ( n5 = sK2
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4883,f116]) ).

fof(f116,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4883,plain,
    ( sum(n5,n0) = sK2
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4882,f26]) ).

fof(f4882,plain,
    ( sK2 = sum(pred(n6),n0)
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4881,f193]) ).

fof(f4881,plain,
    ( sK2 = sum(pred(sum(n9,n13)),n0)
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4880,f16]) ).

fof(f4880,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),n0)
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4879,f232]) ).

fof(f4879,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,n4))
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4878,f25]) ).

fof(f4878,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(n5)))
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4877,f192]) ).

fof(f4877,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(sum(n9,n12))))
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4864,f470]) ).

fof(f4864,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f4863,plain,
    ( ~ spl3_10
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f4862]) ).

fof(f4862,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f4861,f305]) ).

fof(f4861,plain,
    ( n10 = sK2
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4860,f242]) ).

fof(f4860,plain,
    ( sum(n12,n14) = sK2
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4859,f33]) ).

fof(f4859,plain,
    ( sK2 = sum(pred(n13),n14)
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4858,f184]) ).

fof(f4858,plain,
    ( sK2 = sum(pred(sum(n9,n4)),n14)
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4857,f7]) ).

fof(f4857,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),n14)
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4856,f95]) ).

fof(f4856,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,n11))
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4855,f32]) ).

fof(f4855,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(n12)))
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4854,f183]) ).

fof(f4854,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3))))
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4842,f470]) ).

fof(f4842,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f4841,plain,
    ( ~ spl3_10
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4840]) ).

fof(f4840,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4839,f307]) ).

fof(f4839,plain,
    ( n12 = sK2
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4838,f78]) ).

fof(f4838,plain,
    ( sum(n2,n10) = sK2
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4837,f23]) ).

fof(f4837,plain,
    ( sK2 = sum(pred(n3),n10)
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4836,f190]) ).

fof(f4836,plain,
    ( sK2 = sum(pred(sum(n9,n10)),n10)
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4835,f13]) ).

fof(f4835,plain,
    ( sK2 = sum(pred(sum(n9,succ(n9))),n10)
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4834,f181]) ).

fof(f4834,plain,
    ( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,n1))
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4833,f22]) ).

fof(f4833,plain,
    ( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(n2)))
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4832,f189]) ).

fof(f189,plain,
    n2 = sum(n9,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f4832,plain,
    ( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9))))
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4819,f470]) ).

fof(f4819,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f4818,plain,
    ( ~ spl3_10
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f4817]) ).

fof(f4817,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f4816,f303]) ).

fof(f4816,plain,
    ( n8 = sK2
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4815,f134]) ).

fof(f134,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4815,plain,
    ( sum(n6,n2) = sK2
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4814,f27]) ).

fof(f4814,plain,
    ( sK2 = sum(pred(n7),n2)
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4813,f194]) ).

fof(f4813,plain,
    ( sK2 = sum(pred(sum(n9,n14)),n2)
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4812,f17]) ).

fof(f4812,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),n2)
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4811,f249]) ).

fof(f4811,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,n5))
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4810,f26]) ).

fof(f4810,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,pred(n6)))
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4809,f193]) ).

fof(f4809,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,pred(sum(n9,n13))))
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4795,f470]) ).

fof(f4795,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f4794,plain,
    ( ~ spl3_10
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f4793]) ).

fof(f4793,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f4792,f304]) ).

fof(f4792,plain,
    ( n9 = sK2
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4791,f60]) ).

fof(f60,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f4791,plain,
    ( sum(n1,n8) = sK2
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4790,f22]) ).

fof(f4790,plain,
    ( sK2 = sum(pred(n2),n8)
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4789,f189]) ).

fof(f4789,plain,
    ( sK2 = sum(pred(sum(n9,n9)),n8)
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4788,f12]) ).

fof(f4788,plain,
    ( sK2 = sum(pred(sum(n9,succ(n8))),n8)
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4787,f164]) ).

fof(f164,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4787,plain,
    ( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,n0))
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4786,f21]) ).

fof(f4786,plain,
    ( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(n1)))
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4785,f188]) ).

fof(f4785,plain,
    ( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8))))
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4773,f470]) ).

fof(f4773,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f4756,plain,
    ( ~ spl3_6
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4755]) ).

fof(f4755,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4754,f309]) ).

fof(f4754,plain,
    ( n14 = sK2
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4753,f230]) ).

fof(f4753,plain,
    ( sum(n12,n2) = sK2
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4752,f33]) ).

fof(f4752,plain,
    ( sK2 = sum(pred(n13),n2)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4751,f124]) ).

fof(f4751,plain,
    ( sK2 = sum(pred(sum(n5,n8)),n2)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4750,f11]) ).

fof(f11,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f4750,plain,
    ( sK2 = sum(pred(sum(n5,succ(n7))),n2)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4749,f159]) ).

fof(f159,plain,
    n2 = sum(n7,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f4749,plain,
    ( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,n11))
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4748,f32]) ).

fof(f4748,plain,
    ( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(n12)))
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4747,f123]) ).

fof(f4747,plain,
    ( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(sum(n5,n7))))
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4735,f543]) ).

fof(f543,plain,
    ( n7 = sK1
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl3_24
  <=> n7 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f4735,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f4734,plain,
    ( ~ spl3_3
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4733]) ).

fof(f4733,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4732,f303]) ).

fof(f4732,plain,
    ( n8 = sK2
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4731,f195]) ).

fof(f195,plain,
    n8 = sum(n9,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f4731,plain,
    ( sum(n9,n15) = sK2
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4730,f30]) ).

fof(f4730,plain,
    ( sK2 = sum(pred(n10),n15)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4729,f76]) ).

fof(f4729,plain,
    ( sK2 = sum(pred(sum(n2,n8)),n15)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4728,f11]) ).

fof(f4728,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),n15)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4727,f156]) ).

fof(f156,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f4727,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,n8))
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4726,f29]) ).

fof(f4726,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9)))
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4725,f75]) ).

fof(f4725,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7))))
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4713,f543]) ).

fof(f4713,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f4712,plain,
    ( ~ spl3_1
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4711]) ).

fof(f4711,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4710,f299]) ).

fof(f4710,plain,
    ( n4 = sK2
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4709,f161]) ).

fof(f161,plain,
    n4 = sum(n7,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f4709,plain,
    ( sum(n7,n13) = sK2
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4708,f28]) ).

fof(f4708,plain,
    ( sK2 = sum(pred(n8),n13)
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4707,f44]) ).

fof(f4707,plain,
    ( sK2 = sum(pred(sum(n0,n8)),n13)
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4706,f11]) ).

fof(f4706,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),n13)
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4705,f154]) ).

fof(f154,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f4705,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,n6))
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4704,f27]) ).

fof(f4704,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7)))
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4703,f43]) ).

fof(f4703,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7))))
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4691,f543]) ).

fof(f4691,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f4690,plain,
    ( ~ spl3_12
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4689]) ).

fof(f4689,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4688,f305]) ).

fof(f4688,plain,
    ( n10 = sK2
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4687,f76]) ).

fof(f4687,plain,
    ( sum(n2,n8) = sK2
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4686,f23]) ).

fof(f4686,plain,
    ( sK2 = sum(pred(n3),n8)
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4685,f220]) ).

fof(f4685,plain,
    ( sK2 = sum(pred(sum(n11,n8)),n8)
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4684,f11]) ).

fof(f4684,plain,
    ( sK2 = sum(pred(sum(n11,succ(n7))),n8)
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4683,f149]) ).

fof(f4683,plain,
    ( sK2 = sum(pred(sum(n11,succ(n7))),sum(n7,n1))
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4682,f22]) ).

fof(f4682,plain,
    ( sK2 = sum(pred(sum(n11,succ(n7))),sum(n7,pred(n2)))
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4681,f219]) ).

fof(f4681,plain,
    ( sK2 = sum(pred(sum(n11,succ(n7))),sum(n7,pred(sum(n11,n7))))
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4668,f543]) ).

fof(f4668,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f4667,plain,
    ( ~ spl3_4
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4666]) ).

fof(f4666,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4665,f305]) ).

fof(f4665,plain,
    ( n10 = sK2
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4664,f196]) ).

fof(f196,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4664,plain,
    ( sum(n10,n0) = sK2
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4663,f31]) ).

fof(f4663,plain,
    ( sK2 = sum(pred(n11),n0)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4662,f92]) ).

fof(f4662,plain,
    ( sK2 = sum(pred(sum(n3,n8)),n0)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4661,f11]) ).

fof(f4661,plain,
    ( sK2 = sum(pred(sum(n3,succ(n7))),n0)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4660,f157]) ).

fof(f4660,plain,
    ( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,n9))
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4659,f30]) ).

fof(f4659,plain,
    ( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(n10)))
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4658,f91]) ).

fof(f4658,plain,
    ( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(sum(n3,n7))))
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4645,f543]) ).

fof(f4645,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f4644,plain,
    ( ~ spl3_13
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4643]) ).

fof(f4643,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4642,f307]) ).

fof(f4642,plain,
    ( n12 = sK2
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4641,f93]) ).

fof(f4641,plain,
    ( sum(n3,n9) = sK2
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4640,f24]) ).

fof(f4640,plain,
    ( sK2 = sum(pred(n4),n9)
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4639,f236]) ).

fof(f4639,plain,
    ( sK2 = sum(pred(sum(n12,n8)),n9)
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4638,f11]) ).

fof(f4638,plain,
    ( sK2 = sum(pred(sum(n12,succ(n7))),n9)
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4637,f150]) ).

fof(f4637,plain,
    ( sK2 = sum(pred(sum(n12,succ(n7))),sum(n7,n2))
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4636,f23]) ).

fof(f4636,plain,
    ( sK2 = sum(pred(sum(n12,succ(n7))),sum(n7,pred(n3)))
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4635,f235]) ).

fof(f4635,plain,
    ( sK2 = sum(pred(sum(n12,succ(n7))),sum(n7,pred(sum(n12,n7))))
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4621,f543]) ).

fof(f4621,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f4620,plain,
    ( ~ spl3_10
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4619]) ).

fof(f4619,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4618,f301]) ).

fof(f4618,plain,
    ( n6 = sK2
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4617,f42]) ).

fof(f4617,plain,
    ( sum(n0,n6) = sK2
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4616,f21]) ).

fof(f4616,plain,
    ( sK2 = sum(pred(n1),n6)
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4615,f188]) ).

fof(f4615,plain,
    ( sK2 = sum(pred(sum(n9,n8)),n6)
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4614,f11]) ).

fof(f4614,plain,
    ( sK2 = sum(pred(sum(n9,succ(n7))),n6)
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4613,f163]) ).

fof(f163,plain,
    n6 = sum(n7,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f4613,plain,
    ( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,n15))
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4612,f20]) ).

fof(f4612,plain,
    ( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(n0)))
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4611,f187]) ).

fof(f4611,plain,
    ( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7))))
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4599,f543]) ).

fof(f4599,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_10 ),
    inference(superposition,[],[f294,f470]) ).

fof(f4598,plain,
    ( ~ spl3_5
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4597]) ).

fof(f4597,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4596,f307]) ).

fof(f4596,plain,
    ( n12 = sK2
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4595,f213]) ).

fof(f4595,plain,
    ( sum(n11,n1) = sK2
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4594,f32]) ).

fof(f4594,plain,
    ( sK2 = sum(pred(n12),n1)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4593,f108]) ).

fof(f4593,plain,
    ( sK2 = sum(pred(sum(n4,n8)),n1)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4592,f11]) ).

fof(f4592,plain,
    ( sK2 = sum(pred(sum(n4,succ(n7))),n1)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4591,f158]) ).

fof(f158,plain,
    n1 = sum(n7,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f4591,plain,
    ( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,n10))
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4590,f31]) ).

fof(f4590,plain,
    ( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(n11)))
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4589,f107]) ).

fof(f4589,plain,
    ( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7))))
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4577,f543]) ).

fof(f4577,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f4575,plain,
    ( ~ spl3_11
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4574]) ).

fof(f4574,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4573,f303]) ).

fof(f4573,plain,
    ( n8 = sK2
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4572,f59]) ).

fof(f59,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f4572,plain,
    ( sum(n1,n7) = sK2
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4571,f22]) ).

fof(f4571,plain,
    ( sK2 = sum(pred(n2),n7)
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4570,f204]) ).

fof(f4570,plain,
    ( sK2 = sum(pred(sum(n10,n8)),n7)
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4569,f11]) ).

fof(f4569,plain,
    ( sK2 = sum(pred(sum(n10,succ(n7))),n7)
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4568,f148]) ).

fof(f148,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4568,plain,
    ( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,n0))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4567,f21]) ).

fof(f4567,plain,
    ( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(n1)))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4566,f203]) ).

fof(f4566,plain,
    ( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7))))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4554,f474]) ).

fof(f4554,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f4537,plain,
    ( ~ spl3_9
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f4536]) ).

fof(f4536,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f4535,f295]) ).

fof(f4535,plain,
    ( n0 = sK2
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4534,f97]) ).

fof(f4534,plain,
    ( sum(n3,n13) = sK2
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4533,f24]) ).

fof(f4533,plain,
    ( sK2 = sum(pred(n4),n13)
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4532,f176]) ).

fof(f4532,plain,
    ( sK2 = sum(pred(sum(n8,n12)),n13)
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4531,f15]) ).

fof(f4531,plain,
    ( sK2 = sum(pred(sum(n8,succ(n11))),n13)
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4530,f214]) ).

fof(f4530,plain,
    ( sK2 = sum(pred(sum(n8,succ(n11))),sum(n11,n2))
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4529,f23]) ).

fof(f4529,plain,
    ( sK2 = sum(pred(sum(n8,succ(n11))),sum(n11,pred(n3)))
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4528,f175]) ).

fof(f4528,plain,
    ( sK2 = sum(pred(sum(n8,succ(n11))),sum(n11,pred(sum(n8,n11))))
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4515,f466]) ).

fof(f466,plain,
    ( n8 = sK0
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl3_9
  <=> n8 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f4515,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f4514,plain,
    ( ~ spl3_9
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4513]) ).

fof(f4513,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4512,f305]) ).

fof(f4512,plain,
    ( n10 = sK2
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4511,f61]) ).

fof(f4511,plain,
    ( sum(n1,n9) = sK2
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4510,f22]) ).

fof(f4510,plain,
    ( sK2 = sum(pred(n2),n9)
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4509,f174]) ).

fof(f4509,plain,
    ( sK2 = sum(pred(sum(n8,n10)),n9)
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4508,f13]) ).

fof(f4508,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),n9)
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4507,f180]) ).

fof(f180,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4507,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,n0))
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4506,f21]) ).

fof(f4506,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(n1)))
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4505,f173]) ).

fof(f4505,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9))))
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4492,f466]) ).

fof(f4492,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f4491,plain,
    ( ~ spl3_9
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f4490]) ).

fof(f4490,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f4489,f296]) ).

fof(f4489,plain,
    ( n1 = sK2
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4488,f263]) ).

fof(f263,plain,
    n1 = sum(n14,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4488,plain,
    ( sum(n14,n3) = sK2
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4487,f35]) ).

fof(f4487,plain,
    ( sK2 = sum(pred(n15),n3)
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4486,f171]) ).

fof(f4486,plain,
    ( sK2 = sum(pred(sum(n8,n7)),n3)
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4485,f10]) ).

fof(f4485,plain,
    ( sK2 = sum(pred(sum(n8,succ(n6))),n3)
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4484,f145]) ).

fof(f145,plain,
    n3 = sum(n6,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f4484,plain,
    ( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,n13))
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4483,f34]) ).

fof(f4483,plain,
    ( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(n14)))
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4482,f170]) ).

fof(f170,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f4482,plain,
    ( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6))))
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4469,f466]) ).

fof(f4469,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f4468,plain,
    ( ~ spl3_9
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f4467]) ).

fof(f4467,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f4466,f301]) ).

fof(f4466,plain,
    ( n6 = sK2
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4465,f117]) ).

fof(f4465,plain,
    ( sum(n5,n1) = sK2
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4464,f26]) ).

fof(f4464,plain,
    ( sK2 = sum(pred(n6),n1)
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4463,f178]) ).

fof(f178,plain,
    n6 = sum(n8,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f4463,plain,
    ( sK2 = sum(pred(sum(n8,n14)),n1)
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4462,f17]) ).

fof(f4462,plain,
    ( sK2 = sum(pred(sum(n8,succ(n13))),n1)
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4461,f248]) ).

fof(f4461,plain,
    ( sK2 = sum(pred(sum(n8,succ(n13))),sum(n13,n4))
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4460,f25]) ).

fof(f4460,plain,
    ( sK2 = sum(pred(sum(n8,succ(n13))),sum(n13,pred(n5)))
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4459,f177]) ).

fof(f4459,plain,
    ( sK2 = sum(pred(sum(n8,succ(n13))),sum(n13,pred(sum(n8,n13))))
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4445,f466]) ).

fof(f4445,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f4444,plain,
    ( ~ spl3_9
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f4443]) ).

fof(f4443,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f4442,f303]) ).

fof(f4442,plain,
    ( n8 = sK2
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4441,f225]) ).

fof(f4441,plain,
    ( sum(n11,n13) = sK2
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4440,f32]) ).

fof(f4440,plain,
    ( sK2 = sum(pred(n12),n13)
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4439,f168]) ).

fof(f4439,plain,
    ( sK2 = sum(pred(sum(n8,n4)),n13)
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4438,f7]) ).

fof(f4438,plain,
    ( sK2 = sum(pred(sum(n8,succ(n3))),n13)
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4437,f94]) ).

fof(f4437,plain,
    ( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,n10))
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4436,f31]) ).

fof(f4436,plain,
    ( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(n11)))
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4435,f167]) ).

fof(f4435,plain,
    ( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(sum(n8,n3))))
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4425,f466]) ).

fof(f4425,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f4424,plain,
    ( ~ spl3_9
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f4423]) ).

fof(f4423,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f4422,f302]) ).

fof(f4422,plain,
    ( n7 = sK2
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4421,f43]) ).

fof(f4421,plain,
    ( sum(n0,n7) = sK2
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4420,f21]) ).

fof(f4420,plain,
    ( sK2 = sum(pred(n1),n7)
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4419,f173]) ).

fof(f4419,plain,
    ( sK2 = sum(pred(sum(n8,n9)),n7)
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4418,f12]) ).

fof(f4418,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),n7)
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4417,f179]) ).

fof(f4417,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,n15))
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4416,f20]) ).

fof(f4416,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(n0)))
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4415,f172]) ).

fof(f172,plain,
    n0 = sum(n8,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f4415,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8))))
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4404,f466]) ).

fof(f4404,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f4403,plain,
    ( ~ spl3_9
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f4402]) ).

fof(f4402,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f4401,f297]) ).

fof(f4401,plain,
    ( n2 = sK2
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4400,f189]) ).

fof(f4400,plain,
    ( sum(n9,n9) = sK2
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4399,f30]) ).

fof(f4399,plain,
    ( sK2 = sum(pred(n10),n9)
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4398,f166]) ).

fof(f4398,plain,
    ( sK2 = sum(pred(sum(n8,n2)),n9)
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4397,f5]) ).

fof(f4397,plain,
    ( sK2 = sum(pred(sum(n8,succ(n1))),n9)
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4396,f60]) ).

fof(f4396,plain,
    ( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,n8))
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4395,f29]) ).

fof(f4395,plain,
    ( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(n9)))
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4394,f165]) ).

fof(f4394,plain,
    ( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(sum(n8,n1))))
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4383,f466]) ).

fof(f4383,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f4382,plain,
    ( ~ spl3_9
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f4381]) ).

fof(f4381,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f4380,f308]) ).

fof(f4380,plain,
    ( n13 = sK2
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4379,f79]) ).

fof(f4379,plain,
    ( sum(n2,n11) = sK2
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4378,f23]) ).

fof(f4378,plain,
    ( sK2 = sum(pred(n3),n11)
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4377,f175]) ).

fof(f4377,plain,
    ( sK2 = sum(pred(sum(n8,n11)),n11)
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4376,f14]) ).

fof(f4376,plain,
    ( sK2 = sum(pred(sum(n8,succ(n10))),n11)
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4375,f197]) ).

fof(f4375,plain,
    ( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,n1))
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4374,f22]) ).

fof(f4374,plain,
    ( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(n2)))
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4373,f174]) ).

fof(f4373,plain,
    ( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(sum(n8,n10))))
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4361,f466]) ).

fof(f4361,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f4360,plain,
    ( ~ spl3_9
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f4359]) ).

fof(f4359,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f4358,f298]) ).

fof(f4358,plain,
    ( n3 = sK2
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4357,f115]) ).

fof(f115,plain,
    n3 = sum(n4,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f4357,plain,
    ( sum(n4,n15) = sK2
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4356,f25]) ).

fof(f4356,plain,
    ( sK2 = sum(pred(n5),n15)
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4355,f177]) ).

fof(f4355,plain,
    ( sK2 = sum(pred(sum(n8,n13)),n15)
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4354,f16]) ).

fof(f4354,plain,
    ( sK2 = sum(pred(sum(n8,succ(n12))),n15)
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4353,f231]) ).

fof(f4353,plain,
    ( sK2 = sum(pred(sum(n8,succ(n12))),sum(n12,n3))
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4352,f24]) ).

fof(f4352,plain,
    ( sK2 = sum(pred(sum(n8,succ(n12))),sum(n12,pred(n4)))
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4351,f176]) ).

fof(f4351,plain,
    ( sK2 = sum(pred(sum(n8,succ(n12))),sum(n12,pred(sum(n8,n12))))
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4338,f466]) ).

fof(f4338,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f4337,plain,
    ( ~ spl3_9
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4336]) ).

fof(f4336,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4335,f299]) ).

fof(f4335,plain,
    ( n4 = sK2
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4334,f281]) ).

fof(f281,plain,
    n4 = sum(n15,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f4334,plain,
    ( sum(n15,n5) = sK2
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4333,f20]) ).

fof(f4333,plain,
    ( sK2 = sum(pred(n0),n5)
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4332,f172]) ).

fof(f4332,plain,
    ( sK2 = sum(pred(sum(n8,n8)),n5)
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4331,f11]) ).

fof(f4331,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),n5)
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4330,f162]) ).

fof(f162,plain,
    n5 = sum(n7,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f4330,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,n14))
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4329,f35]) ).

fof(f4329,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(n15)))
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4328,f171]) ).

fof(f4328,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4315,f466]) ).

fof(f4315,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f4310,plain,
    ( ~ spl3_9
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4309]) ).

fof(f4309,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4308,f309]) ).

fof(f4308,plain,
    ( n14 = sK2
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4307,f245]) ).

fof(f4307,plain,
    ( sum(n13,n1) = sK2
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4306,f34]) ).

fof(f4306,plain,
    ( sK2 = sum(pred(n14),n1)
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4305,f170]) ).

fof(f4305,plain,
    ( sK2 = sum(pred(sum(n8,n6)),n1)
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4304,f9]) ).

fof(f9,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f3]) ).

fof(f4304,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),n1)
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4303,f128]) ).

fof(f4303,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,n12))
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4302,f33]) ).

fof(f4302,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(n13)))
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4301,f169]) ).

fof(f169,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f4301,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5))))
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4289,f535]) ).

fof(f535,plain,
    ( n5 = sK1
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl3_22
  <=> n5 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f4289,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_9 ),
    inference(superposition,[],[f294,f466]) ).

fof(f4288,plain,
    ( ~ spl3_10
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4287]) ).

fof(f4287,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4286,f295]) ).

fof(f4286,plain,
    ( n0 = sK2
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4285,f262]) ).

fof(f262,plain,
    n0 = sum(n14,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4285,plain,
    ( sum(n14,n2) = sK2
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4284,f35]) ).

fof(f4284,plain,
    ( sK2 = sum(pred(n15),n2)
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4283,f186]) ).

fof(f4283,plain,
    ( sK2 = sum(pred(sum(n9,n6)),n2)
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4282,f9]) ).

fof(f4282,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),n2)
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4281,f129]) ).

fof(f4281,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,n13))
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4280,f34]) ).

fof(f4280,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n14)))
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4279,f185]) ).

fof(f4279,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5))))
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4266,f535]) ).

fof(f4266,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_10 ),
    inference(superposition,[],[f294,f470]) ).

fof(f4265,plain,
    ( ~ spl3_3
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4264]) ).

fof(f4264,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4263,f297]) ).

fof(f4263,plain,
    ( n2 = sK2
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4262,f159]) ).

fof(f4262,plain,
    ( sum(n7,n11) = sK2
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4261,f28]) ).

fof(f4261,plain,
    ( sK2 = sum(pred(n8),n11)
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4260,f74]) ).

fof(f4260,plain,
    ( sK2 = sum(pred(sum(n2,n6)),n11)
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4259,f9]) ).

fof(f4259,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),n11)
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4258,f122]) ).

fof(f4258,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,n6))
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4257,f27]) ).

fof(f4257,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7)))
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4256,f73]) ).

fof(f73,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f4256,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5))))
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4245,f535]) ).

fof(f4245,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f4244,plain,
    ( ~ spl3_5
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4243]) ).

fof(f4243,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4242,f301]) ).

fof(f4242,plain,
    ( n6 = sK2
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4241,f193]) ).

fof(f4241,plain,
    ( sum(n9,n13) = sK2
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4240,f30]) ).

fof(f4240,plain,
    ( sK2 = sum(pred(n10),n13)
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4239,f106]) ).

fof(f4239,plain,
    ( sK2 = sum(pred(sum(n4,n6)),n13)
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4238,f9]) ).

fof(f4238,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),n13)
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4237,f124]) ).

fof(f4237,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4236,f29]) ).

fof(f4236,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9)))
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4235,f105]) ).

fof(f105,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f4235,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5))))
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4223,f535]) ).

fof(f4223,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f4222,plain,
    ( ~ spl3_6
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4221]) ).

fof(f4221,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4220,f303]) ).

fof(f4220,plain,
    ( n8 = sK2
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4219,f210]) ).

fof(f4219,plain,
    ( sum(n10,n14) = sK2
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4218,f31]) ).

fof(f4218,plain,
    ( sK2 = sum(pred(n11),n14)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4217,f122]) ).

fof(f4217,plain,
    ( sK2 = sum(pred(sum(n5,n6)),n14)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4216,f9]) ).

fof(f4216,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),n14)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4215,f125]) ).

fof(f4215,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,n9))
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4214,f30]) ).

fof(f4214,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10)))
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4213,f121]) ).

fof(f4213,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5))))
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4200,f535]) ).

fof(f4200,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f4199,plain,
    ( ~ spl3_13
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4198]) ).

fof(f4198,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4197,f301]) ).

fof(f4197,plain,
    ( n6 = sK2
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4196,f57]) ).

fof(f4196,plain,
    ( sum(n1,n5) = sK2
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4195,f22]) ).

fof(f4195,plain,
    ( sK2 = sum(pred(n2),n5)
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4194,f234]) ).

fof(f4194,plain,
    ( sK2 = sum(pred(sum(n12,n6)),n5)
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4193,f9]) ).

fof(f4193,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),n5)
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4192,f116]) ).

fof(f4192,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,n0))
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4191,f21]) ).

fof(f4191,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,pred(n1)))
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4190,f233]) ).

fof(f4190,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,pred(sum(n12,n5))))
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4176,f535]) ).

fof(f4176,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f4175,plain,
    ( ~ spl3_1
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4174]) ).

fof(f4174,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4173,f309]) ).

fof(f4173,plain,
    ( n14 = sK2
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4172,f125]) ).

fof(f4172,plain,
    ( sum(n5,n9) = sK2
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4171,f26]) ).

fof(f4171,plain,
    ( sK2 = sum(pred(n6),n9)
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4170,f42]) ).

fof(f4170,plain,
    ( sK2 = sum(pred(sum(n0,n6)),n9)
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4169,f9]) ).

fof(f4169,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),n9)
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4168,f120]) ).

fof(f4168,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,n4))
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4167,f25]) ).

fof(f4167,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5)))
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4166,f41]) ).

fof(f4166,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5))))
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4155,f535]) ).

fof(f4155,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f4154,plain,
    ( ~ spl3_11
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4153]) ).

fof(f4153,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4152,f297]) ).

fof(f4152,plain,
    ( n2 = sK2
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4151,f279]) ).

fof(f279,plain,
    n2 = sum(n15,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4151,plain,
    ( sum(n15,n3) = sK2
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4150,f20]) ).

fof(f4150,plain,
    ( sK2 = sum(pred(n0),n3)
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4149,f202]) ).

fof(f4149,plain,
    ( sK2 = sum(pred(sum(n10,n6)),n3)
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4148,f9]) ).

fof(f4148,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),n3)
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4147,f130]) ).

fof(f4147,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,n14))
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4146,f35]) ).

fof(f4146,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(n15)))
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4145,f201]) ).

fof(f4145,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5))))
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4133,f535]) ).

fof(f4133,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_11 ),
    inference(superposition,[],[f294,f474]) ).

fof(f4132,plain,
    ( ~ spl3_12
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4131]) ).

fof(f4131,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4130,f299]) ).

fof(f4130,plain,
    ( n4 = sK2
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4129,f40]) ).

fof(f4129,plain,
    ( sum(n0,n4) = sK2
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4128,f21]) ).

fof(f4128,plain,
    ( sK2 = sum(pred(n1),n4)
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4127,f218]) ).

fof(f4127,plain,
    ( sK2 = sum(pred(sum(n11,n6)),n4)
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4126,f9]) ).

fof(f4126,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),n4)
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4125,f131]) ).

fof(f4125,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,n15))
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4124,f20]) ).

fof(f4124,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(n0)))
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4123,f217]) ).

fof(f4123,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(sum(n11,n5))))
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4110,f535]) ).

fof(f4110,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f4108,plain,
    ( ~ spl3_4
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f4107]) ).

fof(f4107,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f4106,f299]) ).

fof(f4106,plain,
    ( n4 = sK2
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4105,f176]) ).

fof(f4105,plain,
    ( sum(n8,n12) = sK2
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4104,f29]) ).

fof(f4104,plain,
    ( sK2 = sum(pred(n9),n12)
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4103,f90]) ).

fof(f4103,plain,
    ( sK2 = sum(pred(sum(n3,n6)),n12)
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4102,f9]) ).

fof(f4102,plain,
    ( sK2 = sum(pred(sum(n3,succ(n5))),n12)
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4101,f123]) ).

fof(f4101,plain,
    ( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,n7))
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4100,f28]) ).

fof(f4100,plain,
    ( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(n8)))
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4099,f89]) ).

fof(f4099,plain,
    ( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(sum(n3,n5))))
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f4086,f446]) ).

fof(f4086,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f4069,plain,
    ( ~ spl3_8
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f4068]) ).

fof(f4068,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f4067,f299]) ).

fof(f4067,plain,
    ( n4 = sK2
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4066,f100]) ).

fof(f100,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4066,plain,
    ( sum(n4,n0) = sK2
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4065,f25]) ).

fof(f4065,plain,
    ( sK2 = sum(pred(n5),n0)
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4064,f162]) ).

fof(f4064,plain,
    ( sK2 = sum(pred(sum(n7,n14)),n0)
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4063,f17]) ).

fof(f4063,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),n0)
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4062,f247]) ).

fof(f247,plain,
    n0 = sum(n13,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4062,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,n3))
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4061,f24]) ).

fof(f4061,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,pred(n4)))
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4060,f161]) ).

fof(f4060,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,pred(sum(n7,n13))))
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4046,f462]) ).

fof(f462,plain,
    ( n7 = sK0
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl3_8
  <=> n7 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f4046,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f4045,plain,
    ( ~ spl3_8
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4044]) ).

fof(f4044,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4043,f303]) ).

fof(f4043,plain,
    ( n8 = sK2
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4042,f44]) ).

fof(f4042,plain,
    ( sum(n0,n8) = sK2
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4041,f21]) ).

fof(f4041,plain,
    ( sK2 = sum(pred(n1),n8)
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4040,f158]) ).

fof(f4040,plain,
    ( sK2 = sum(pred(sum(n7,n10)),n8)
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4039,f13]) ).

fof(f4039,plain,
    ( sK2 = sum(pred(sum(n7,succ(n9))),n8)
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4038,f195]) ).

fof(f4038,plain,
    ( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,n15))
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4037,f20]) ).

fof(f4037,plain,
    ( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(n0)))
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4036,f157]) ).

fof(f4036,plain,
    ( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9))))
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4026,f462]) ).

fof(f4026,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f4025,plain,
    ( ~ spl3_8
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f4024]) ).

fof(f4024,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f4023,f310]) ).

fof(f4023,plain,
    ( n15 = sK2
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4022,f246]) ).

fof(f246,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4022,plain,
    ( sum(n13,n2) = sK2
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4021,f34]) ).

fof(f4021,plain,
    ( sK2 = sum(pred(n14),n2)
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4020,f155]) ).

fof(f155,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f4020,plain,
    ( sK2 = sum(pred(sum(n7,n7)),n2)
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4019,f10]) ).

fof(f4019,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),n2)
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4018,f144]) ).

fof(f144,plain,
    n2 = sum(n6,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f4018,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,n12))
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4017,f33]) ).

fof(f4017,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(n13)))
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4016,f154]) ).

fof(f4016,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6))))
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4006,f462]) ).

fof(f4006,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f4005,plain,
    ( ~ spl3_8
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f4004]) ).

fof(f4004,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f4003,f295]) ).

fof(f4003,plain,
    ( n0 = sK2
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4002,f172]) ).

fof(f4002,plain,
    ( sum(n8,n8) = sK2
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4001,f29]) ).

fof(f4001,plain,
    ( sK2 = sum(pred(n9),n8)
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4000,f150]) ).

fof(f4000,plain,
    ( sK2 = sum(pred(sum(n7,n2)),n8)
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3999,f5]) ).

fof(f3999,plain,
    ( sK2 = sum(pred(sum(n7,succ(n1))),n8)
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3998,f59]) ).

fof(f3998,plain,
    ( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,n7))
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3997,f28]) ).

fof(f3997,plain,
    ( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8)))
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3996,f149]) ).

fof(f3996,plain,
    ( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1))))
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3986,f462]) ).

fof(f3986,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f3985,plain,
    ( ~ spl3_8
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f3984]) ).

fof(f3984,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f3983,f306]) ).

fof(f3983,plain,
    ( n11 = sK2
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3982,f62]) ).

fof(f3982,plain,
    ( sum(n1,n10) = sK2
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3981,f22]) ).

fof(f3981,plain,
    ( sK2 = sum(pred(n2),n10)
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3980,f159]) ).

fof(f3980,plain,
    ( sK2 = sum(pred(sum(n7,n11)),n10)
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3979,f14]) ).

fof(f3979,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),n10)
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3978,f196]) ).

fof(f3978,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,n0))
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3977,f21]) ).

fof(f3977,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(n1)))
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3976,f158]) ).

fof(f3976,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(sum(n7,n10))))
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3965,f462]) ).

fof(f3965,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f3964,plain,
    ( ~ spl3_8
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3963]) ).

fof(f3963,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3962,f307]) ).

fof(f3962,plain,
    ( n12 = sK2
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3961,f228]) ).

fof(f3961,plain,
    ( sum(n12,n0) = sK2
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3960,f33]) ).

fof(f3960,plain,
    ( sK2 = sum(pred(n13),n0)
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3959,f154]) ).

fof(f3959,plain,
    ( sK2 = sum(pred(sum(n7,n6)),n0)
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3958,f9]) ).

fof(f3958,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),n0)
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3957,f127]) ).

fof(f3957,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,n11))
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3956,f32]) ).

fof(f3956,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(n12)))
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3955,f153]) ).

fof(f153,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f3955,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5))))
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3944,f462]) ).

fof(f3944,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f3943,plain,
    ( ~ spl3_8
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f3942]) ).

fof(f3942,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f3941,f301]) ).

fof(f3941,plain,
    ( n6 = sK2
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3940,f208]) ).

fof(f3940,plain,
    ( sum(n10,n12) = sK2
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3939,f31]) ).

fof(f3939,plain,
    ( sK2 = sum(pred(n11),n12)
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3938,f152]) ).

fof(f152,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f3938,plain,
    ( sK2 = sum(pred(sum(n7,n4)),n12)
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3937,f7]) ).

fof(f3937,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),n12)
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3936,f93]) ).

fof(f3936,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,n9))
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3935,f30]) ).

fof(f3935,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10)))
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3934,f151]) ).

fof(f3934,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3))))
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3923,f462]) ).

fof(f3923,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f3922,plain,
    ( ~ spl3_8
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f3921]) ).

fof(f3921,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f3920,f309]) ).

fof(f3920,plain,
    ( n14 = sK2
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3919,f80]) ).

fof(f3919,plain,
    ( sum(n2,n12) = sK2
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3918,f23]) ).

fof(f3918,plain,
    ( sK2 = sum(pred(n3),n12)
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3917,f160]) ).

fof(f160,plain,
    n3 = sum(n7,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f3917,plain,
    ( sK2 = sum(pred(sum(n7,n12)),n12)
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3916,f15]) ).

fof(f3916,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),n12)
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3915,f213]) ).

fof(f3915,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,n1))
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3914,f22]) ).

fof(f3914,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(n2)))
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3913,f159]) ).

fof(f3913,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(sum(n7,n11))))
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3901,f462]) ).

fof(f3901,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f3900,plain,
    ( ~ spl3_8
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f3899]) ).

fof(f3899,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f3898,f300]) ).

fof(f3898,plain,
    ( n5 = sK2
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3897,f282]) ).

fof(f282,plain,
    n5 = sum(n15,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f3897,plain,
    ( sum(n15,n6) = sK2
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3896,f20]) ).

fof(f3896,plain,
    ( sK2 = sum(pred(n0),n6)
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3895,f157]) ).

fof(f3895,plain,
    ( sK2 = sum(pred(sum(n7,n9)),n6)
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3894,f12]) ).

fof(f3894,plain,
    ( sK2 = sum(pred(sum(n7,succ(n8))),n6)
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3893,f178]) ).

fof(f3893,plain,
    ( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,n14))
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3892,f35]) ).

fof(f3892,plain,
    ( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(n15)))
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3891,f156]) ).

fof(f3891,plain,
    ( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8))))
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3879,f462]) ).

fof(f3879,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f3878,plain,
    ( ~ spl3_8
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f3877]) ).

fof(f3877,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f3876,f296]) ).

fof(f3876,plain,
    ( n1 = sK2
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3875,f98]) ).

fof(f3875,plain,
    ( sum(n3,n14) = sK2
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3874,f24]) ).

fof(f3874,plain,
    ( sK2 = sum(pred(n4),n14)
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3873,f161]) ).

fof(f3873,plain,
    ( sK2 = sum(pred(sum(n7,n13)),n14)
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3872,f16]) ).

fof(f3872,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),n14)
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3871,f230]) ).

fof(f3871,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,n2))
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3870,f23]) ).

fof(f3870,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,pred(n3)))
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3869,f160]) ).

fof(f3869,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,pred(sum(n7,n12))))
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3856,f462]) ).

fof(f3856,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f3855,plain,
    ( ~ spl3_8
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f3854]) ).

fof(f3854,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f3853,f297]) ).

fof(f3853,plain,
    ( n2 = sK2
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3852,f264]) ).

fof(f264,plain,
    n2 = sum(n14,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f3852,plain,
    ( sum(n14,n4) = sK2
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3851,f35]) ).

fof(f3851,plain,
    ( sK2 = sum(pred(n15),n4)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3850,f156]) ).

fof(f3850,plain,
    ( sK2 = sum(pred(sum(n7,n8)),n4)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3849,f11]) ).

fof(f3849,plain,
    ( sK2 = sum(pred(sum(n7,succ(n7))),n4)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3848,f161]) ).

fof(f3848,plain,
    ( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,n13))
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3847,f34]) ).

fof(f3847,plain,
    ( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(n14)))
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3846,f155]) ).

fof(f3846,plain,
    ( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7))))
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3834,f462]) ).

fof(f3834,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f3817,plain,
    ( ~ spl3_9
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3816]) ).

fof(f3816,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3815,f306]) ).

fof(f3815,plain,
    ( n11 = sK2
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3814,f243]) ).

fof(f3814,plain,
    ( sum(n12,n15) = sK2
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3813,f33]) ).

fof(f3813,plain,
    ( sK2 = sum(pred(n13),n15)
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3812,f169]) ).

fof(f3812,plain,
    ( sK2 = sum(pred(sum(n8,n5)),n15)
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3811,f8]) ).

fof(f8,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f3811,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),n15)
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3810,f111]) ).

fof(f3810,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,n11))
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3809,f32]) ).

fof(f3809,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(n12)))
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3808,f168]) ).

fof(f3808,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4))))
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3796,f531]) ).

fof(f531,plain,
    ( n4 = sK1
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl3_21
  <=> n4 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f3796,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_9 ),
    inference(superposition,[],[f294,f466]) ).

fof(f3795,plain,
    ( ~ spl3_11
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3794]) ).

fof(f3794,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3793,f310]) ).

fof(f3793,plain,
    ( n15 = sK2
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3792,f261]) ).

fof(f261,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3792,plain,
    ( sum(n14,n1) = sK2
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3791,f35]) ).

fof(f3791,plain,
    ( sK2 = sum(pred(n15),n1)
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3790,f201]) ).

fof(f3790,plain,
    ( sK2 = sum(pred(sum(n10,n5)),n1)
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3789,f8]) ).

fof(f3789,plain,
    ( sK2 = sum(pred(sum(n10,succ(n4))),n1)
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3788,f113]) ).

fof(f3788,plain,
    ( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,n13))
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3787,f34]) ).

fof(f3787,plain,
    ( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(n14)))
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3786,f200]) ).

fof(f3786,plain,
    ( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(sum(n10,n4))))
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3773,f531]) ).

fof(f3773,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_11 ),
    inference(superposition,[],[f294,f474]) ).

fof(f3772,plain,
    ( ~ spl3_4
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3771]) ).

fof(f3771,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3770,f296]) ).

fof(f3770,plain,
    ( n1 = sK2
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3769,f158]) ).

fof(f3769,plain,
    ( sum(n7,n10) = sK2
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3768,f28]) ).

fof(f3768,plain,
    ( sK2 = sum(pred(n8),n10)
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3767,f89]) ).

fof(f3767,plain,
    ( sK2 = sum(pred(sum(n3,n5)),n10)
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3766,f8]) ).

fof(f3766,plain,
    ( sK2 = sum(pred(sum(n3,succ(n4))),n10)
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3765,f106]) ).

fof(f3765,plain,
    ( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,n6))
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3764,f27]) ).

fof(f3764,plain,
    ( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(n7)))
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3763,f88]) ).

fof(f3763,plain,
    ( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(sum(n3,n4))))
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3750,f531]) ).

fof(f3750,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f3749,plain,
    ( ~ spl3_3
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3748]) ).

fof(f3748,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3747,f310]) ).

fof(f3747,plain,
    ( n15 = sK2
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3746,f141]) ).

fof(f3746,plain,
    ( sum(n6,n9) = sK2
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3745,f27]) ).

fof(f3745,plain,
    ( sK2 = sum(pred(n7),n9)
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3744,f73]) ).

fof(f3744,plain,
    ( sK2 = sum(pred(sum(n2,n5)),n9)
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3743,f8]) ).

fof(f3743,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),n9)
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3742,f105]) ).

fof(f3742,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3741,f26]) ).

fof(f3741,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6)))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3740,f72]) ).

fof(f3740,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4))))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3727,f531]) ).

fof(f3727,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f3726,plain,
    ( ~ spl3_13
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3725]) ).

fof(f3725,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3724,f298]) ).

fof(f3724,plain,
    ( n3 = sK2
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3723,f39]) ).

fof(f3723,plain,
    ( sum(n0,n3) = sK2
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3722,f21]) ).

fof(f3722,plain,
    ( sK2 = sum(pred(n1),n3)
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3721,f233]) ).

fof(f3721,plain,
    ( sK2 = sum(pred(sum(n12,n5)),n3)
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3720,f8]) ).

fof(f3720,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),n3)
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3719,f115]) ).

fof(f3719,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,n15))
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3718,f20]) ).

fof(f3718,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,pred(n0)))
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3717,f232]) ).

fof(f3717,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,pred(sum(n12,n4))))
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3703,f531]) ).

fof(f3703,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f3702,plain,
    ( ~ spl3_5
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3701]) ).

fof(f3701,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3700,f298]) ).

fof(f3700,plain,
    ( n3 = sK2
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3699,f175]) ).

fof(f3699,plain,
    ( sum(n8,n11) = sK2
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3698,f29]) ).

fof(f3698,plain,
    ( sK2 = sum(pred(n9),n11)
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3697,f105]) ).

fof(f3697,plain,
    ( sK2 = sum(pred(sum(n4,n5)),n11)
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3696,f8]) ).

fof(f3696,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),n11)
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3695,f107]) ).

fof(f3695,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,n7))
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3694,f28]) ).

fof(f3694,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8)))
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3693,f104]) ).

fof(f3693,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4))))
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3682,f531]) ).

fof(f3682,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f3681,plain,
    ( ~ spl3_6
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3680]) ).

fof(f3680,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3679,f300]) ).

fof(f3679,plain,
    ( n5 = sK2
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3678,f192]) ).

fof(f3678,plain,
    ( sum(n9,n12) = sK2
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3677,f30]) ).

fof(f3677,plain,
    ( sK2 = sum(pred(n10),n12)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3676,f121]) ).

fof(f3676,plain,
    ( sK2 = sum(pred(sum(n5,n5)),n12)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3675,f8]) ).

fof(f3675,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),n12)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3674,f108]) ).

fof(f3674,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,n8))
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3673,f29]) ).

fof(f3673,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(n9)))
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3672,f120]) ).

fof(f3672,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(sum(n5,n4))))
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3660,f531]) ).

fof(f3660,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f3659,plain,
    ( ~ spl3_12
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3658]) ).

fof(f3658,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3657,f296]) ).

fof(f3657,plain,
    ( n1 = sK2
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3656,f278]) ).

fof(f278,plain,
    n1 = sum(n15,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3656,plain,
    ( sum(n15,n2) = sK2
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3655,f20]) ).

fof(f3655,plain,
    ( sK2 = sum(pred(n0),n2)
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3654,f217]) ).

fof(f3654,plain,
    ( sK2 = sum(pred(sum(n11,n5)),n2)
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3653,f8]) ).

fof(f3653,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),n2)
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3652,f114]) ).

fof(f3652,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,n14))
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3651,f35]) ).

fof(f3651,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,pred(n15)))
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3650,f216]) ).

fof(f3650,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,pred(sum(n11,n4))))
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3637,f531]) ).

fof(f3637,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f3636,plain,
    ( ~ spl3_8
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3635]) ).

fof(f3635,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3634,f304]) ).

fof(f3634,plain,
    ( n9 = sK2
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3633,f226]) ).

fof(f3633,plain,
    ( sum(n11,n14) = sK2
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3632,f32]) ).

fof(f3632,plain,
    ( sK2 = sum(pred(n12),n14)
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3631,f153]) ).

fof(f3631,plain,
    ( sK2 = sum(pred(sum(n7,n5)),n14)
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3630,f8]) ).

fof(f3630,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),n14)
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3629,f110]) ).

fof(f3629,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3628,f31]) ).

fof(f3628,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(n11)))
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3627,f152]) ).

fof(f3627,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3616,f531]) ).

fof(f3616,plain,
    ( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
    | ~ spl3_8 ),
    inference(superposition,[],[f294,f462]) ).

fof(f3615,plain,
    ( ~ spl3_1
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3614]) ).

fof(f3614,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3613,f306]) ).

fof(f3613,plain,
    ( n11 = sK2
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3612,f107]) ).

fof(f3612,plain,
    ( sum(n4,n7) = sK2
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3611,f25]) ).

fof(f3611,plain,
    ( sK2 = sum(pred(n5),n7)
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3610,f41]) ).

fof(f3610,plain,
    ( sK2 = sum(pred(sum(n0,n5)),n7)
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3609,f8]) ).

fof(f3609,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),n7)
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3608,f103]) ).

fof(f3608,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,n3))
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3607,f24]) ).

fof(f3607,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3606,f40]) ).

fof(f3606,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3595,f531]) ).

fof(f3595,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f3594,plain,
    ( ~ spl3_10
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3593]) ).

fof(f3593,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3592,f308]) ).

fof(f3592,plain,
    ( n13 = sK2
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3591,f244]) ).

fof(f3591,plain,
    ( sum(n13,n0) = sK2
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3590,f34]) ).

fof(f3590,plain,
    ( sK2 = sum(pred(n14),n0)
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3589,f185]) ).

fof(f3589,plain,
    ( sK2 = sum(pred(sum(n9,n5)),n0)
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3588,f8]) ).

fof(f3588,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),n0)
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3587,f112]) ).

fof(f3587,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,n12))
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3586,f33]) ).

fof(f3586,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(n13)))
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3585,f184]) ).

fof(f3585,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(sum(n9,n4))))
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3573,f531]) ).

fof(f3573,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_10 ),
    inference(superposition,[],[f294,f470]) ).

fof(f3571,plain,
    ( ~ spl3_7
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3570]) ).

fof(f3570,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3569,f302]) ).

fof(f3569,plain,
    ( n7 = sK2
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3568,f209]) ).

fof(f3568,plain,
    ( sum(n10,n13) = sK2
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3567,f31]) ).

fof(f3567,plain,
    ( sK2 = sum(pred(n11),n13)
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3566,f137]) ).

fof(f3566,plain,
    ( sK2 = sum(pred(sum(n6,n5)),n13)
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3565,f8]) ).

fof(f3565,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),n13)
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3564,f109]) ).

fof(f3564,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,n9))
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3563,f30]) ).

fof(f3563,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3562,f136]) ).

fof(f136,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f3562,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4))))
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3551,f458]) ).

fof(f458,plain,
    ( n6 = sK0
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl3_7
  <=> n6 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f3551,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_21 ),
    inference(superposition,[],[f294,f531]) ).

fof(f3550,plain,
    ( ~ spl3_7
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f3549]) ).

fof(f3549,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f3548,f308]) ).

fof(f3548,plain,
    ( n13 = sK2
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3547,f229]) ).

fof(f3547,plain,
    ( sum(n12,n1) = sK2
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3546,f33]) ).

fof(f3546,plain,
    ( sK2 = sum(pred(n13),n1)
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3545,f139]) ).

fof(f3545,plain,
    ( sK2 = sum(pred(sum(n6,n7)),n1)
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3544,f10]) ).

fof(f3544,plain,
    ( sK2 = sum(pred(sum(n6,succ(n6))),n1)
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3543,f143]) ).

fof(f3543,plain,
    ( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,n11))
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3542,f32]) ).

fof(f3542,plain,
    ( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(n12)))
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3541,f138]) ).

fof(f3541,plain,
    ( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6))))
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3529,f458]) ).

fof(f3529,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f3528,plain,
    ( ~ spl3_7
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3527]) ).

fof(f3527,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3526,f305]) ).

fof(f3526,plain,
    ( n10 = sK2
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3525,f227]) ).

fof(f3525,plain,
    ( sum(n11,n15) = sK2
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3524,f32]) ).

fof(f3524,plain,
    ( sK2 = sum(pred(n12),n15)
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3523,f138]) ).

fof(f3523,plain,
    ( sK2 = sum(pred(sum(n6,n6)),n15)
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3522,f9]) ).

fof(f3522,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),n15)
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3521,f126]) ).

fof(f3521,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3520,f31]) ).

fof(f3520,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(n11)))
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3519,f137]) ).

fof(f3519,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5))))
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3507,f458]) ).

fof(f3507,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f3506,plain,
    ( ~ spl3_7
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f3505]) ).

fof(f3505,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f3504,f299]) ).

fof(f3504,plain,
    ( n4 = sK2
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3503,f191]) ).

fof(f3503,plain,
    ( sum(n9,n11) = sK2
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3502,f30]) ).

fof(f3502,plain,
    ( sK2 = sum(pred(n10),n11)
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3501,f136]) ).

fof(f3501,plain,
    ( sK2 = sum(pred(sum(n6,n4)),n11)
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3500,f7]) ).

fof(f3500,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),n11)
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3499,f92]) ).

fof(f3499,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,n8))
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3498,f29]) ).

fof(f3498,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9)))
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3497,f135]) ).

fof(f135,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3497,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3))))
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3485,f458]) ).

fof(f3485,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f3484,plain,
    ( ~ spl3_7
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f3483]) ).

fof(f3483,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f3482,f307]) ).

fof(f3482,plain,
    ( n12 = sK2
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3481,f63]) ).

fof(f3481,plain,
    ( sum(n1,n11) = sK2
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3480,f22]) ).

fof(f3480,plain,
    ( sK2 = sum(pred(n2),n11)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3479,f144]) ).

fof(f3479,plain,
    ( sK2 = sum(pred(sum(n6,n12)),n11)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3478,f15]) ).

fof(f3478,plain,
    ( sK2 = sum(pred(sum(n6,succ(n11))),n11)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3477,f212]) ).

fof(f3477,plain,
    ( sK2 = sum(pred(sum(n6,succ(n11))),sum(n11,n0))
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3476,f21]) ).

fof(f3476,plain,
    ( sK2 = sum(pred(sum(n6,succ(n11))),sum(n11,pred(n1)))
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3475,f143]) ).

fof(f3475,plain,
    ( sK2 = sum(pred(sum(n6,succ(n11))),sum(n11,pred(sum(n6,n11))))
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3462,f458]) ).

fof(f3462,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f3461,plain,
    ( ~ spl3_7
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f3460]) ).

fof(f3460,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f3459,f297]) ).

fof(f3459,plain,
    ( n2 = sK2
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3458,f99]) ).

fof(f99,plain,
    n2 = sum(n3,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f3458,plain,
    ( sum(n3,n15) = sK2
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3457,f24]) ).

fof(f3457,plain,
    ( sK2 = sum(pred(n4),n15)
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3456,f146]) ).

fof(f3456,plain,
    ( sK2 = sum(pred(sum(n6,n14)),n15)
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3455,f17]) ).

fof(f3455,plain,
    ( sK2 = sum(pred(sum(n6,succ(n13))),n15)
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3454,f246]) ).

fof(f3454,plain,
    ( sK2 = sum(pred(sum(n6,succ(n13))),sum(n13,n2))
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3453,f23]) ).

fof(f3453,plain,
    ( sK2 = sum(pred(sum(n6,succ(n13))),sum(n13,pred(n3)))
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3452,f145]) ).

fof(f3452,plain,
    ( sK2 = sum(pred(sum(n6,succ(n13))),sum(n13,pred(sum(n6,n13))))
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3438,f458]) ).

fof(f3438,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f3437,plain,
    ( ~ spl3_7
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f3436]) ).

fof(f3436,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f3435,f310]) ).

fof(f3435,plain,
    ( n15 = sK2
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3434,f81]) ).

fof(f3434,plain,
    ( sum(n2,n13) = sK2
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3433,f23]) ).

fof(f3433,plain,
    ( sK2 = sum(pred(n3),n13)
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3432,f145]) ).

fof(f3432,plain,
    ( sK2 = sum(pred(sum(n6,n13)),n13)
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3431,f16]) ).

fof(f3431,plain,
    ( sK2 = sum(pred(sum(n6,succ(n12))),n13)
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3430,f229]) ).

fof(f3430,plain,
    ( sK2 = sum(pred(sum(n6,succ(n12))),sum(n12,n1))
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3429,f22]) ).

fof(f3429,plain,
    ( sK2 = sum(pred(sum(n6,succ(n12))),sum(n12,pred(n2)))
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3428,f144]) ).

fof(f3428,plain,
    ( sK2 = sum(pred(sum(n6,succ(n12))),sum(n12,pred(sum(n6,n12))))
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3415,f458]) ).

fof(f3415,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f3414,plain,
    ( ~ spl3_7
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f3413]) ).

fof(f3413,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f3412,f309]) ).

fof(f3412,plain,
    ( n14 = sK2
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3411,f155]) ).

fof(f3411,plain,
    ( sum(n7,n7) = sK2
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3410,f28]) ).

fof(f3410,plain,
    ( sK2 = sum(pred(n8),n7)
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3409,f134]) ).

fof(f3409,plain,
    ( sK2 = sum(pred(sum(n6,n2)),n7)
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3408,f5]) ).

fof(f3408,plain,
    ( sK2 = sum(pred(sum(n6,succ(n1))),n7)
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3407,f58]) ).

fof(f3407,plain,
    ( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,n6))
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3406,f27]) ).

fof(f3406,plain,
    ( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(n7)))
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3405,f133]) ).

fof(f3405,plain,
    ( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(sum(n6,n1))))
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3397,f458]) ).

fof(f3397,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f3396,plain,
    ( ~ spl3_7
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f3395]) ).

fof(f3395,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f3394,f298]) ).

fof(f3394,plain,
    ( n3 = sK2
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3393,f265]) ).

fof(f265,plain,
    n3 = sum(n14,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f3393,plain,
    ( sum(n14,n5) = sK2
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3392,f35]) ).

fof(f3392,plain,
    ( sK2 = sum(pred(n15),n5)
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3391,f141]) ).

fof(f3391,plain,
    ( sK2 = sum(pred(sum(n6,n9)),n5)
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3390,f12]) ).

fof(f3390,plain,
    ( sK2 = sum(pred(sum(n6,succ(n8))),n5)
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3389,f177]) ).

fof(f3389,plain,
    ( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,n13))
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3388,f34]) ).

fof(f3388,plain,
    ( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(n14)))
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3387,f140]) ).

fof(f3387,plain,
    ( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(sum(n6,n8))))
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3378,f458]) ).

fof(f3378,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f3377,plain,
    ( ~ spl3_7
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f3376]) ).

fof(f3376,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f3375,f301]) ).

fof(f3375,plain,
    ( n6 = sK2
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3374,f283]) ).

fof(f283,plain,
    n6 = sum(n15,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f3374,plain,
    ( sum(n15,n7) = sK2
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3373,f20]) ).

fof(f3373,plain,
    ( sK2 = sum(pred(n0),n7)
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3372,f142]) ).

fof(f3372,plain,
    ( sK2 = sum(pred(sum(n6,n10)),n7)
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3371,f13]) ).

fof(f3371,plain,
    ( sK2 = sum(pred(sum(n6,succ(n9))),n7)
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3370,f194]) ).

fof(f3370,plain,
    ( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,n14))
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3369,f35]) ).

fof(f3369,plain,
    ( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(n15)))
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3368,f141]) ).

fof(f3368,plain,
    ( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(sum(n6,n9))))
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3358,f458]) ).

fof(f3358,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f3357,plain,
    ( ~ spl3_7
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f3356]) ).

fof(f3356,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f3355,f304]) ).

fof(f3355,plain,
    ( n9 = sK2
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3354,f45]) ).

fof(f3354,plain,
    ( sum(n0,n9) = sK2
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3353,f21]) ).

fof(f3353,plain,
    ( sK2 = sum(pred(n1),n9)
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3352,f143]) ).

fof(f3352,plain,
    ( sK2 = sum(pred(sum(n6,n11)),n9)
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3351,f14]) ).

fof(f3351,plain,
    ( sK2 = sum(pred(sum(n6,succ(n10))),n9)
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3350,f211]) ).

fof(f3350,plain,
    ( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,n15))
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3349,f20]) ).

fof(f3349,plain,
    ( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(n0)))
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3348,f142]) ).

fof(f3348,plain,
    ( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(sum(n6,n10))))
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3337,f458]) ).

fof(f3337,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f3336,plain,
    ( ~ spl3_7
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f3335]) ).

fof(f3335,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f3334,f295]) ).

fof(f3334,plain,
    ( n0 = sK2
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3333,f247]) ).

fof(f3333,plain,
    ( sum(n13,n3) = sK2
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3332,f34]) ).

fof(f3332,plain,
    ( sK2 = sum(pred(n14),n3)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3331,f140]) ).

fof(f3331,plain,
    ( sK2 = sum(pred(sum(n6,n8)),n3)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3330,f11]) ).

fof(f3330,plain,
    ( sK2 = sum(pred(sum(n6,succ(n7))),n3)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3329,f160]) ).

fof(f3329,plain,
    ( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,n12))
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3328,f33]) ).

fof(f3328,plain,
    ( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(n13)))
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3327,f139]) ).

fof(f3327,plain,
    ( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7))))
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3317,f458]) ).

fof(f3317,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f3300,plain,
    ( ~ spl3_1
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3299]) ).

fof(f3299,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3298,f300]) ).

fof(f3298,plain,
    ( n5 = sK2
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3297,f71]) ).

fof(f3297,plain,
    ( sum(n2,n3) = sK2
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3296,f23]) ).

fof(f3296,plain,
    ( sK2 = sum(pred(n3),n3)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3295,f39]) ).

fof(f3295,plain,
    ( sK2 = sum(pred(sum(n0,n3)),n3)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3294,f6]) ).

fof(f6,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f3]) ).

fof(f3294,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),n3)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3293,f69]) ).

fof(f3293,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3292,f22]) ).

fof(f3292,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2)))
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3291,f38]) ).

fof(f3291,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2))))
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3279,f523]) ).

fof(f523,plain,
    ( n2 = sK1
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl3_19
  <=> n2 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f3279,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f3278,plain,
    ( ~ spl3_12
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3277]) ).

fof(f3277,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3276,f306]) ).

fof(f3276,plain,
    ( n11 = sK2
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3275,f258]) ).

fof(f3275,plain,
    ( sum(n13,n14) = sK2
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3274,f34]) ).

fof(f3274,plain,
    ( sK2 = sum(pred(n14),n14)
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3273,f215]) ).

fof(f3273,plain,
    ( sK2 = sum(pred(sum(n11,n3)),n14)
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3272,f6]) ).

fof(f3272,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),n14)
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3271,f80]) ).

fof(f3271,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,n12))
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3270,f33]) ).

fof(f3270,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,pred(n13)))
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3269,f214]) ).

fof(f3269,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,pred(sum(n11,n2))))
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3256,f523]) ).

fof(f3256,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f3255,plain,
    ( ~ spl3_9
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3254]) ).

fof(f3254,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3253,f300]) ).

fof(f3253,plain,
    ( n5 = sK2
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3252,f207]) ).

fof(f3252,plain,
    ( sum(n10,n11) = sK2
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3251,f31]) ).

fof(f3251,plain,
    ( sK2 = sum(pred(n11),n11)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3250,f167]) ).

fof(f3250,plain,
    ( sK2 = sum(pred(sum(n8,n3)),n11)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3249,f6]) ).

fof(f3249,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),n11)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3248,f77]) ).

fof(f3248,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,n9))
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3247,f30]) ).

fof(f3247,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10)))
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3246,f166]) ).

fof(f3246,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2))))
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3234,f523]) ).

fof(f3234,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_9 ),
    inference(superposition,[],[f294,f466]) ).

fof(f3233,plain,
    ( ~ spl3_11
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3232]) ).

fof(f3232,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3231,f304]) ).

fof(f3231,plain,
    ( n9 = sK2
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3230,f241]) ).

fof(f3230,plain,
    ( sum(n12,n13) = sK2
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3229,f33]) ).

fof(f3229,plain,
    ( sK2 = sum(pred(n13),n13)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3228,f199]) ).

fof(f3228,plain,
    ( sK2 = sum(pred(sum(n10,n3)),n13)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3227,f6]) ).

fof(f3227,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),n13)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3226,f79]) ).

fof(f3226,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,n11))
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3225,f32]) ).

fof(f3225,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(n12)))
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3224,f198]) ).

fof(f3224,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2))))
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3211,f523]) ).

fof(f3211,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_11 ),
    inference(superposition,[],[f294,f474]) ).

fof(f3210,plain,
    ( ~ spl3_5
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3209]) ).

fof(f3209,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3208,f308]) ).

fof(f3208,plain,
    ( n13 = sK2
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3207,f139]) ).

fof(f3207,plain,
    ( sum(n6,n7) = sK2
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3206,f27]) ).

fof(f3206,plain,
    ( sK2 = sum(pred(n7),n7)
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3205,f103]) ).

fof(f3205,plain,
    ( sK2 = sum(pred(sum(n4,n3)),n7)
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3204,f6]) ).

fof(f3204,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),n7)
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3203,f73]) ).

fof(f3203,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,n5))
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3202,f26]) ).

fof(f3202,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(n6)))
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3201,f102]) ).

fof(f3201,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(sum(n4,n2))))
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3189,f523]) ).

fof(f3189,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f3188,plain,
    ( ~ spl3_8
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3187]) ).

fof(f3187,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3186,f298]) ).

fof(f3186,plain,
    ( n3 = sK2
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3185,f190]) ).

fof(f3185,plain,
    ( sum(n9,n10) = sK2
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3184,f30]) ).

fof(f3184,plain,
    ( sK2 = sum(pred(n10),n10)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3183,f151]) ).

fof(f3183,plain,
    ( sK2 = sum(pred(sum(n7,n3)),n10)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3182,f6]) ).

fof(f3182,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),n10)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3181,f76]) ).

fof(f3181,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,n8))
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3180,f29]) ).

fof(f3180,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3179,f150]) ).

fof(f3179,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3166,f523]) ).

fof(f3166,plain,
    ( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
    | ~ spl3_8 ),
    inference(superposition,[],[f294,f462]) ).

fof(f3165,plain,
    ( ~ spl3_4
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3164]) ).

fof(f3164,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3163,f306]) ).

fof(f3163,plain,
    ( n11 = sK2
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3162,f122]) ).

fof(f3162,plain,
    ( sum(n5,n6) = sK2
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3161,f26]) ).

fof(f3161,plain,
    ( sK2 = sum(pred(n6),n6)
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3160,f87]) ).

fof(f3160,plain,
    ( sK2 = sum(pred(sum(n3,n3)),n6)
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3159,f6]) ).

fof(f3159,plain,
    ( sK2 = sum(pred(sum(n3,succ(n2))),n6)
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3158,f72]) ).

fof(f3158,plain,
    ( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,n4))
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3157,f25]) ).

fof(f3157,plain,
    ( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(n5)))
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3156,f86]) ).

fof(f3156,plain,
    ( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(sum(n3,n2))))
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3143,f523]) ).

fof(f3143,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f3142,plain,
    ( ~ spl3_13
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3141]) ).

fof(f3141,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3140,f308]) ).

fof(f3140,plain,
    ( n13 = sK2
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3139,f275]) ).

fof(f275,plain,
    n13 = sum(n14,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f3139,plain,
    ( sum(n14,n15) = sK2
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3138,f35]) ).

fof(f3138,plain,
    ( sK2 = sum(pred(n15),n15)
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3137,f231]) ).

fof(f3137,plain,
    ( sK2 = sum(pred(sum(n12,n3)),n15)
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3136,f6]) ).

fof(f3136,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),n15)
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3135,f81]) ).

fof(f3135,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,n13))
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3134,f34]) ).

fof(f3134,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,pred(n14)))
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3133,f230]) ).

fof(f3133,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,pred(sum(n12,n2))))
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3119,f523]) ).

fof(f3119,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f3118,plain,
    ( ~ spl3_7
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3117]) ).

fof(f3117,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3116,f296]) ).

fof(f3116,plain,
    ( n1 = sK2
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3115,f173]) ).

fof(f3115,plain,
    ( sum(n8,n9) = sK2
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3114,f29]) ).

fof(f3114,plain,
    ( sK2 = sum(pred(n9),n9)
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3113,f135]) ).

fof(f3113,plain,
    ( sK2 = sum(pred(sum(n6,n3)),n9)
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3112,f6]) ).

fof(f3112,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),n9)
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3111,f75]) ).

fof(f3111,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,n7))
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3110,f28]) ).

fof(f3110,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(n8)))
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3109,f134]) ).

fof(f3109,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(sum(n6,n2))))
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3096,f523]) ).

fof(f3096,plain,
    ( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
    | ~ spl3_7 ),
    inference(superposition,[],[f294,f458]) ).

fof(f3095,plain,
    ( ~ spl3_3
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3094]) ).

fof(f3094,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3093,f304]) ).

fof(f3093,plain,
    ( n9 = sK2
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3092,f105]) ).

fof(f3092,plain,
    ( sum(n4,n5) = sK2
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3091,f25]) ).

fof(f3091,plain,
    ( sK2 = sum(pred(n5),n5)
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3090,f71]) ).

fof(f3090,plain,
    ( sK2 = sum(pred(sum(n2,n3)),n5)
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3089,f6]) ).

fof(f3089,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),n5)
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3088,f71]) ).

fof(f3088,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,n3))
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3087,f24]) ).

fof(f3087,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4)))
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3086,f70]) ).

fof(f3086,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2))))
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3074,f523]) ).

fof(f3074,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f3073,plain,
    ( ~ spl3_6
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3072]) ).

fof(f3072,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3071,f310]) ).

fof(f3071,plain,
    ( n15 = sK2
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3070,f156]) ).

fof(f3070,plain,
    ( sum(n7,n8) = sK2
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3069,f28]) ).

fof(f3069,plain,
    ( sK2 = sum(pred(n8),n8)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3068,f119]) ).

fof(f3068,plain,
    ( sK2 = sum(pred(sum(n5,n3)),n8)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3067,f6]) ).

fof(f3067,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),n8)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3066,f74]) ).

fof(f3066,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,n6))
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3065,f27]) ).

fof(f3065,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(n7)))
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3064,f118]) ).

fof(f3064,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(sum(n5,n2))))
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3051,f523]) ).

fof(f3051,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f3049,plain,
    ( ~ spl3_10
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f3048]) ).

fof(f3048,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f3047,f302]) ).

fof(f3047,plain,
    ( n7 = sK2
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3046,f224]) ).

fof(f3046,plain,
    ( sum(n11,n12) = sK2
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3045,f32]) ).

fof(f3045,plain,
    ( sK2 = sum(pred(n12),n12)
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3044,f183]) ).

fof(f3044,plain,
    ( sK2 = sum(pred(sum(n9,n3)),n12)
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3043,f6]) ).

fof(f3043,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),n12)
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3042,f78]) ).

fof(f3042,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,n10))
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3041,f31]) ).

fof(f3041,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(n11)))
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3040,f182]) ).

fof(f3040,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2))))
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f3030,f470]) ).

fof(f3030,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_19 ),
    inference(superposition,[],[f294,f523]) ).

fof(f3013,plain,
    ( ~ spl3_14
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f3012]) ).

fof(f3012,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f3011,f299]) ).

fof(f3011,plain,
    ( n4 = sK2
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3010,f146]) ).

fof(f3010,plain,
    ( sum(n6,n14) = sK2
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3009,f27]) ).

fof(f3009,plain,
    ( sK2 = sum(pred(n7),n14)
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3008,f254]) ).

fof(f254,plain,
    n7 = sum(n13,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3008,plain,
    ( sK2 = sum(pred(sum(n13,n10)),n14)
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3007,f13]) ).

fof(f3007,plain,
    ( sK2 = sum(pred(sum(n13,succ(n9))),n14)
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3006,f185]) ).

fof(f3006,plain,
    ( sK2 = sum(pred(sum(n13,succ(n9))),sum(n9,n5))
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3005,f26]) ).

fof(f3005,plain,
    ( sK2 = sum(pred(sum(n13,succ(n9))),sum(n9,pred(n6)))
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3004,f253]) ).

fof(f3004,plain,
    ( sK2 = sum(pred(sum(n13,succ(n9))),sum(n9,pred(sum(n13,n9))))
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2993,f486]) ).

fof(f486,plain,
    ( n13 = sK0
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl3_14
  <=> n13 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f2993,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f2992,plain,
    ( ~ spl3_14
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f2991]) ).

fof(f2991,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f2990,f305]) ).

fof(f2990,plain,
    ( n10 = sK2
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2989,f166]) ).

fof(f2989,plain,
    ( sum(n8,n2) = sK2
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2988,f29]) ).

fof(f2988,plain,
    ( sK2 = sum(pred(n9),n2)
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2987,f256]) ).

fof(f2987,plain,
    ( sK2 = sum(pred(sum(n13,n12)),n2)
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2986,f15]) ).

fof(f2986,plain,
    ( sK2 = sum(pred(sum(n13,succ(n11))),n2)
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2985,f219]) ).

fof(f2985,plain,
    ( sK2 = sum(pred(sum(n13,succ(n11))),sum(n11,n7))
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2984,f28]) ).

fof(f2984,plain,
    ( sK2 = sum(pred(sum(n13,succ(n11))),sum(n11,pred(n8)))
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2983,f255]) ).

fof(f255,plain,
    n8 = sum(n13,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f2983,plain,
    ( sK2 = sum(pred(sum(n13,succ(n11))),sum(n11,pred(sum(n13,n11))))
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2971,f486]) ).

fof(f2971,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f2970,plain,
    ( ~ spl3_14
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f2969]) ).

fof(f2969,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f2968,f303]) ).

fof(f2968,plain,
    ( n8 = sK2
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2967,f74]) ).

fof(f2967,plain,
    ( sum(n2,n6) = sK2
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2966,f23]) ).

fof(f2966,plain,
    ( sK2 = sum(pred(n3),n6)
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2965,f250]) ).

fof(f2965,plain,
    ( sK2 = sum(pred(sum(n13,n6)),n6)
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2964,f9]) ).

fof(f2964,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),n6)
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2963,f117]) ).

fof(f2963,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,n1))
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2962,f22]) ).

fof(f2962,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,pred(n2)))
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2961,f249]) ).

fof(f2961,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,pred(sum(n13,n5))))
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2951,f486]) ).

fof(f2951,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f2950,plain,
    ( ~ spl3_14
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f2949]) ).

fof(f2949,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f2948,f306]) ).

fof(f2948,plain,
    ( n11 = sK2
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2947,f92]) ).

fof(f2947,plain,
    ( sum(n3,n8) = sK2
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2946,f24]) ).

fof(f2946,plain,
    ( sK2 = sum(pred(n4),n8)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2945,f251]) ).

fof(f2945,plain,
    ( sK2 = sum(pred(sum(n13,n7)),n8)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2944,f10]) ).

fof(f2944,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),n8)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2943,f134]) ).

fof(f2943,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,n2))
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2942,f23]) ).

fof(f2942,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,pred(n3)))
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2941,f250]) ).

fof(f2941,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,pred(sum(n13,n6))))
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2930,f486]) ).

fof(f2930,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f2929,plain,
    ( ~ spl3_14
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2928,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2927,f300]) ).

fof(f2927,plain,
    ( n5 = sK2
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2926,f56]) ).

fof(f2926,plain,
    ( sum(n1,n4) = sK2
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2925,f22]) ).

fof(f2925,plain,
    ( sK2 = sum(pred(n2),n4)
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2924,f249]) ).

fof(f2924,plain,
    ( sK2 = sum(pred(sum(n13,n5)),n4)
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2923,f8]) ).

fof(f2923,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),n4)
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2922,f100]) ).

fof(f2922,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,n0))
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2921,f21]) ).

fof(f2921,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,pred(n1)))
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2920,f248]) ).

fof(f2920,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,pred(sum(n13,n4))))
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2909,f486]) ).

fof(f2909,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_21 ),
    inference(superposition,[],[f294,f531]) ).

fof(f2908,plain,
    ( ~ spl3_14
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f2907]) ).

fof(f2907,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f2906,f307]) ).

fof(f2906,plain,
    ( n12 = sK2
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2905,f274]) ).

fof(f274,plain,
    n12 = sum(n14,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f2905,plain,
    ( sum(n14,n14) = sK2
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2904,f35]) ).

fof(f2904,plain,
    ( sK2 = sum(pred(n15),n14)
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2903,f246]) ).

fof(f2903,plain,
    ( sK2 = sum(pred(sum(n13,n2)),n14)
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2902,f5]) ).

fof(f2902,plain,
    ( sK2 = sum(pred(sum(n13,succ(n1))),n14)
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2901,f65]) ).

fof(f2901,plain,
    ( sK2 = sum(pred(sum(n13,succ(n1))),sum(n1,n13))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2900,f34]) ).

fof(f2900,plain,
    ( sK2 = sum(pred(sum(n13,succ(n1))),sum(n1,pred(n14)))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2899,f245]) ).

fof(f2899,plain,
    ( sK2 = sum(pred(sum(n13,succ(n1))),sum(n1,pred(sum(n13,n1))))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2889,f486]) ).

fof(f2889,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f2888,plain,
    ( ~ spl3_14
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2887]) ).

fof(f2887,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2886,f310]) ).

fof(f2886,plain,
    ( n15 = sK2
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2885,f276]) ).

fof(f276,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2885,plain,
    ( sum(n15,n0) = sK2
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2884,f20]) ).

fof(f2884,plain,
    ( sK2 = sum(pred(n0),n0)
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2883,f247]) ).

fof(f2883,plain,
    ( sK2 = sum(pred(sum(n13,n3)),n0)
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2882,f6]) ).

fof(f2882,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),n0)
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2881,f82]) ).

fof(f2881,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,n14))
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2880,f35]) ).

fof(f2880,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,pred(n15)))
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2879,f246]) ).

fof(f2879,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,pred(sum(n13,n2))))
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2868,f486]) ).

fof(f2868,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_19 ),
    inference(superposition,[],[f294,f523]) ).

fof(f2867,plain,
    ( ~ spl3_14
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f2866]) ).

fof(f2866,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f2865,f296]) ).

fof(f2865,plain,
    ( n1 = sK2
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2864,f128]) ).

fof(f2864,plain,
    ( sum(n5,n12) = sK2
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2863,f26]) ).

fof(f2863,plain,
    ( sK2 = sum(pred(n6),n12)
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2862,f253]) ).

fof(f2862,plain,
    ( sK2 = sum(pred(sum(n13,n9)),n12)
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2861,f12]) ).

fof(f2861,plain,
    ( sK2 = sum(pred(sum(n13,succ(n8))),n12)
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2860,f168]) ).

fof(f2860,plain,
    ( sK2 = sum(pred(sum(n13,succ(n8))),sum(n8,n4))
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2859,f25]) ).

fof(f2859,plain,
    ( sK2 = sum(pred(sum(n13,succ(n8))),sum(n8,pred(n5)))
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2858,f252]) ).

fof(f2858,plain,
    ( sK2 = sum(pred(sum(n13,succ(n8))),sum(n8,pred(sum(n13,n8))))
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2846,f486]) ).

fof(f2846,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f2845,plain,
    ( ~ spl3_14
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f2844]) ).

fof(f2844,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f2843,f308]) ).

fof(f2843,plain,
    ( n13 = sK2
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2842,f184]) ).

fof(f2842,plain,
    ( sum(n9,n4) = sK2
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2841,f30]) ).

fof(f2841,plain,
    ( sK2 = sum(pred(n10),n4)
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2840,f257]) ).

fof(f2840,plain,
    ( sK2 = sum(pred(sum(n13,n13)),n4)
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2839,f16]) ).

fof(f2839,plain,
    ( sK2 = sum(pred(sum(n13,succ(n12))),n4)
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2838,f236]) ).

fof(f2838,plain,
    ( sK2 = sum(pred(sum(n13,succ(n12))),sum(n12,n8))
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2837,f29]) ).

fof(f2837,plain,
    ( sK2 = sum(pred(sum(n13,succ(n12))),sum(n12,pred(n9)))
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2836,f256]) ).

fof(f2836,plain,
    ( sK2 = sum(pred(sum(n13,succ(n12))),sum(n12,pred(sum(n13,n12))))
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2823,f486]) ).

fof(f2823,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f2822,plain,
    ( ~ spl3_14
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f2821]) ).

fof(f2821,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f2820,f295]) ).

fof(f2820,plain,
    ( n0 = sK2
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2819,f202]) ).

fof(f2819,plain,
    ( sum(n10,n6) = sK2
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2818,f31]) ).

fof(f2818,plain,
    ( sK2 = sum(pred(n11),n6)
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2817,f258]) ).

fof(f2817,plain,
    ( sK2 = sum(pred(sum(n13,n14)),n6)
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2816,f17]) ).

fof(f2816,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),n6)
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2815,f253]) ).

fof(f2815,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,n9))
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2814,f30]) ).

fof(f2814,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,pred(n10)))
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2813,f257]) ).

fof(f2813,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,pred(sum(n13,n13))))
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2799,f486]) ).

fof(f2799,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f2798,plain,
    ( ~ spl3_14
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f2797]) ).

fof(f2797,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f2796,f302]) ).

fof(f2796,plain,
    ( n7 = sK2
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2795,f148]) ).

fof(f2795,plain,
    ( sum(n7,n0) = sK2
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2794,f28]) ).

fof(f2794,plain,
    ( sK2 = sum(pred(n8),n0)
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2793,f255]) ).

fof(f2793,plain,
    ( sK2 = sum(pred(sum(n13,n11)),n0)
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2792,f14]) ).

fof(f2792,plain,
    ( sK2 = sum(pred(sum(n13,succ(n10))),n0)
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2791,f202]) ).

fof(f2791,plain,
    ( sK2 = sum(pred(sum(n13,succ(n10))),sum(n10,n6))
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2790,f27]) ).

fof(f2790,plain,
    ( sK2 = sum(pred(sum(n13,succ(n10))),sum(n10,pred(n7)))
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2789,f254]) ).

fof(f2789,plain,
    ( sK2 = sum(pred(sum(n13,succ(n10))),sum(n10,pred(sum(n13,n10))))
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2776,f486]) ).

fof(f2776,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f2775,plain,
    ( ~ spl3_14
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f2774]) ).

fof(f2774,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f2773,f297]) ).

fof(f2773,plain,
    ( n2 = sK2
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2772,f38]) ).

fof(f2772,plain,
    ( sum(n0,n2) = sK2
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2771,f21]) ).

fof(f2771,plain,
    ( sK2 = sum(pred(n1),n2)
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2770,f248]) ).

fof(f2770,plain,
    ( sK2 = sum(pred(sum(n13,n4)),n2)
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2769,f7]) ).

fof(f2769,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),n2)
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2768,f99]) ).

fof(f2768,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,n15))
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2767,f20]) ).

fof(f2767,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,pred(n0)))
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2766,f247]) ).

fof(f2766,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,pred(sum(n13,n3))))
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2754,f486]) ).

fof(f2754,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f2753,plain,
    ( ~ spl3_14
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f2752]) ).

fof(f2752,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f2751,f309]) ).

fof(f2751,plain,
    ( n14 = sK2
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2750,f110]) ).

fof(f2750,plain,
    ( sum(n4,n10) = sK2
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2749,f25]) ).

fof(f2749,plain,
    ( sK2 = sum(pred(n5),n10)
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2748,f252]) ).

fof(f2748,plain,
    ( sK2 = sum(pred(sum(n13,n8)),n10)
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2747,f11]) ).

fof(f2747,plain,
    ( sK2 = sum(pred(sum(n13,succ(n7))),n10)
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2746,f151]) ).

fof(f2746,plain,
    ( sK2 = sum(pred(sum(n13,succ(n7))),sum(n7,n3))
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2745,f24]) ).

fof(f2745,plain,
    ( sK2 = sum(pred(sum(n13,succ(n7))),sum(n7,pred(n4)))
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2744,f251]) ).

fof(f2744,plain,
    ( sK2 = sum(pred(sum(n13,succ(n7))),sum(n7,pred(sum(n13,n7))))
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2731,f486]) ).

fof(f2731,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f2714,plain,
    ( ~ spl3_9
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2713]) ).

fof(f2713,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2712,f310]) ).

fof(f2712,plain,
    ( n15 = sK2
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2711,f171]) ).

fof(f2711,plain,
    ( sum(n8,n7) = sK2
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2710,f29]) ).

fof(f2710,plain,
    ( sK2 = sum(pred(n9),n7)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2709,f165]) ).

fof(f2709,plain,
    ( sK2 = sum(pred(sum(n8,n1)),n7)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2708,f4]) ).

fof(f4,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f3]) ).

fof(f2708,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),n7)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2707,f43]) ).

fof(f2707,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2706,f28]) ).

fof(f2706,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8)))
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2705,f164]) ).

fof(f2705,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0))))
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2692,f515]) ).

fof(f515,plain,
    ( n0 = sK1
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl3_17
  <=> n0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f2692,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_9 ),
    inference(superposition,[],[f294,f466]) ).

fof(f2691,plain,
    ( ~ spl3_8
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2690]) ).

fof(f2690,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2689,f308]) ).

fof(f2689,plain,
    ( n13 = sK2
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2688,f154]) ).

fof(f2688,plain,
    ( sum(n7,n6) = sK2
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2687,f28]) ).

fof(f2687,plain,
    ( sK2 = sum(pred(n8),n6)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2686,f149]) ).

fof(f2686,plain,
    ( sK2 = sum(pred(sum(n7,n1)),n6)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2685,f4]) ).

fof(f2685,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),n6)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2684,f42]) ).

fof(f2684,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2683,f27]) ).

fof(f2683,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7)))
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2682,f148]) ).

fof(f2682,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0))))
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2669,f515]) ).

fof(f2669,plain,
    ( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
    | ~ spl3_8 ),
    inference(superposition,[],[f294,f462]) ).

fof(f2668,plain,
    ( ~ spl3_13
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2667]) ).

fof(f2667,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2666,f302]) ).

fof(f2666,plain,
    ( n7 = sK2
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2665,f239]) ).

fof(f2665,plain,
    ( sum(n12,n11) = sK2
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2664,f33]) ).

fof(f2664,plain,
    ( sK2 = sum(pred(n13),n11)
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2663,f229]) ).

fof(f2663,plain,
    ( sK2 = sum(pred(sum(n12,n1)),n11)
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2662,f4]) ).

fof(f2662,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),n11)
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2661,f47]) ).

fof(f2661,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,n11))
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2660,f32]) ).

fof(f2660,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(n12)))
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2659,f228]) ).

fof(f2659,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(sum(n12,n0))))
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2645,f515]) ).

fof(f2645,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f2644,plain,
    ( ~ spl3_7
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2642,f306]) ).

fof(f2642,plain,
    ( n11 = sK2
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2641,f137]) ).

fof(f2641,plain,
    ( sum(n6,n5) = sK2
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2640,f27]) ).

fof(f2640,plain,
    ( sK2 = sum(pred(n7),n5)
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2639,f133]) ).

fof(f2639,plain,
    ( sK2 = sum(pred(sum(n6,n1)),n5)
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2638,f4]) ).

fof(f2638,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),n5)
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2637,f41]) ).

fof(f2637,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,n5))
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2636,f26]) ).

fof(f2636,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6)))
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2635,f132]) ).

fof(f2635,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0))))
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2622,f515]) ).

fof(f2622,plain,
    ( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
    | ~ spl3_7 ),
    inference(superposition,[],[f294,f458]) ).

fof(f2621,plain,
    ( ~ spl3_10
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2620]) ).

fof(f2620,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2619,f296]) ).

fof(f2619,plain,
    ( n1 = sK2
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2618,f188]) ).

fof(f2618,plain,
    ( sum(n9,n8) = sK2
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2617,f30]) ).

fof(f2617,plain,
    ( sK2 = sum(pred(n10),n8)
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2616,f181]) ).

fof(f2616,plain,
    ( sK2 = sum(pred(sum(n9,n1)),n8)
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2615,f4]) ).

fof(f2615,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),n8)
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2614,f44]) ).

fof(f2614,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2613,f29]) ).

fof(f2613,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9)))
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2612,f180]) ).

fof(f2612,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2598,f515]) ).

fof(f2598,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_10 ),
    inference(superposition,[],[f294,f470]) ).

fof(f2597,plain,
    ( ~ spl3_4
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2596]) ).

fof(f2596,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2595,f300]) ).

fof(f2595,plain,
    ( n5 = sK2
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2594,f86]) ).

fof(f2594,plain,
    ( sum(n3,n2) = sK2
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2593,f24]) ).

fof(f2593,plain,
    ( sK2 = sum(pred(n4),n2)
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2592,f85]) ).

fof(f2592,plain,
    ( sK2 = sum(pred(sum(n3,n1)),n2)
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2591,f4]) ).

fof(f2591,plain,
    ( sK2 = sum(pred(sum(n3,succ(n0))),n2)
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2590,f38]) ).

fof(f2590,plain,
    ( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,n2))
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2589,f23]) ).

fof(f2589,plain,
    ( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3)))
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2588,f84]) ).

fof(f84,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2588,plain,
    ( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0))))
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2575,f515]) ).

fof(f2575,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f2574,plain,
    ( ~ spl3_6
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2573,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2572,f304]) ).

fof(f2572,plain,
    ( n9 = sK2
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2571,f120]) ).

fof(f2571,plain,
    ( sum(n5,n4) = sK2
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2570,f26]) ).

fof(f2570,plain,
    ( sK2 = sum(pred(n6),n4)
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2569,f117]) ).

fof(f2569,plain,
    ( sK2 = sum(pred(sum(n5,n1)),n4)
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2568,f4]) ).

fof(f2568,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),n4)
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2567,f40]) ).

fof(f2567,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,n4))
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2566,f25]) ).

fof(f2566,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5)))
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2565,f116]) ).

fof(f2565,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0))))
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2551,f515]) ).

fof(f2551,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f2550,plain,
    ( ~ spl3_1
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2549,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2548,f310]) ).

fof(f2548,plain,
    ( n15 = sK2
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2547,f51]) ).

fof(f51,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f2547,plain,
    ( sum(n0,n15) = sK2
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2546,f21]) ).

fof(f2546,plain,
    ( sK2 = sum(pred(n1),n15)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2545,f37]) ).

fof(f2545,plain,
    ( sK2 = sum(pred(sum(n0,n1)),n15)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2544,f4]) ).

fof(f2544,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),n15)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2543,f51]) ).

fof(f2543,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,n15))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2542,f20]) ).

fof(f2542,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0)))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2541,f36]) ).

fof(f36,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2541,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2527,f515]) ).

fof(f2527,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f2526,plain,
    ( ~ spl3_14
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2525]) ).

fof(f2525,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2524,f304]) ).

fof(f2524,plain,
    ( n9 = sK2
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2523,f256]) ).

fof(f2523,plain,
    ( sum(n13,n12) = sK2
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2522,f34]) ).

fof(f2522,plain,
    ( sK2 = sum(pred(n14),n12)
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2521,f245]) ).

fof(f2521,plain,
    ( sK2 = sum(pred(sum(n13,n1)),n12)
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2520,f4]) ).

fof(f2520,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),n12)
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2519,f48]) ).

fof(f2519,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,n12))
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2518,f33]) ).

fof(f2518,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,pred(n13)))
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2517,f244]) ).

fof(f2517,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,pred(sum(n13,n0))))
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2502,f515]) ).

fof(f2502,plain,
    ( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
    | ~ spl3_14 ),
    inference(superposition,[],[f294,f486]) ).

fof(f2501,plain,
    ( ~ spl3_11
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2500]) ).

fof(f2500,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2499,f298]) ).

fof(f2499,plain,
    ( n3 = sK2
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2498,f205]) ).

fof(f2498,plain,
    ( sum(n10,n9) = sK2
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2497,f31]) ).

fof(f2497,plain,
    ( sK2 = sum(pred(n11),n9)
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2496,f197]) ).

fof(f2496,plain,
    ( sK2 = sum(pred(sum(n10,n1)),n9)
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2495,f4]) ).

fof(f2495,plain,
    ( sK2 = sum(pred(sum(n10,succ(n0))),n9)
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2494,f45]) ).

fof(f2494,plain,
    ( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,n9))
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2493,f30]) ).

fof(f2493,plain,
    ( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10)))
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2492,f196]) ).

fof(f2492,plain,
    ( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0))))
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2478,f515]) ).

fof(f2478,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_11 ),
    inference(superposition,[],[f294,f474]) ).

fof(f2477,plain,
    ( ~ spl3_12
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2476]) ).

fof(f2476,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2475,f300]) ).

fof(f2475,plain,
    ( n5 = sK2
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2474,f222]) ).

fof(f2474,plain,
    ( sum(n11,n10) = sK2
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2473,f32]) ).

fof(f2473,plain,
    ( sK2 = sum(pred(n12),n10)
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2472,f213]) ).

fof(f2472,plain,
    ( sK2 = sum(pred(sum(n11,n1)),n10)
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2471,f4]) ).

fof(f2471,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),n10)
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2470,f46]) ).

fof(f2470,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,n10))
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2469,f31]) ).

fof(f2469,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(n11)))
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2468,f212]) ).

fof(f2468,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(sum(n11,n0))))
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2453,f515]) ).

fof(f2453,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f2452,plain,
    ( ~ spl3_3
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2451]) ).

fof(f2451,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2450,f298]) ).

fof(f2450,plain,
    ( n3 = sK2
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2449,f69]) ).

fof(f2449,plain,
    ( sum(n2,n1) = sK2
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2448,f23]) ).

fof(f2448,plain,
    ( sK2 = sum(pred(n3),n1)
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2447,f69]) ).

fof(f2447,plain,
    ( sK2 = sum(pred(sum(n2,n1)),n1)
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2446,f4]) ).

fof(f2446,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),n1)
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2445,f37]) ).

fof(f2445,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,n1))
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2444,f22]) ).

fof(f2444,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2)))
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2443,f68]) ).

fof(f68,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2443,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0))))
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2429,f515]) ).

fof(f2429,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f2427,plain,
    ( ~ spl3_5
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2426]) ).

fof(f2426,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2425,f302]) ).

fof(f2425,plain,
    ( n7 = sK2
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2424,f103]) ).

fof(f2424,plain,
    ( sum(n4,n3) = sK2
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2423,f25]) ).

fof(f2423,plain,
    ( sK2 = sum(pred(n5),n3)
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2422,f101]) ).

fof(f2422,plain,
    ( sK2 = sum(pred(sum(n4,n1)),n3)
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2421,f4]) ).

fof(f2421,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),n3)
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2420,f39]) ).

fof(f2420,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,n3))
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2419,f24]) ).

fof(f2419,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4)))
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2418,f100]) ).

fof(f2418,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2405,f450]) ).

fof(f2405,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
    | ~ spl3_17 ),
    inference(superposition,[],[f294,f515]) ).

fof(f2388,plain,
    ( ~ spl3_16
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f2387]) ).

fof(f2387,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f2386,f299]) ).

fof(f2386,plain,
    ( n4 = sK2
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2385,f236]) ).

fof(f2385,plain,
    ( sum(n12,n8) = sK2
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2384,f33]) ).

fof(f2384,plain,
    ( sK2 = sum(pred(n13),n8)
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2383,f290]) ).

fof(f290,plain,
    n13 = sum(n15,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f2383,plain,
    ( sK2 = sum(pred(sum(n15,n14)),n8)
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2382,f17]) ).

fof(f2382,plain,
    ( sK2 = sum(pred(sum(n15,succ(n13))),n8)
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2381,f255]) ).

fof(f2381,plain,
    ( sK2 = sum(pred(sum(n15,succ(n13))),sum(n13,n11))
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2380,f32]) ).

fof(f2380,plain,
    ( sK2 = sum(pred(sum(n15,succ(n13))),sum(n13,pred(n12)))
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2379,f289]) ).

fof(f289,plain,
    n12 = sum(n15,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f2379,plain,
    ( sK2 = sum(pred(sum(n15,succ(n13))),sum(n13,pred(sum(n15,n13))))
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2365,f494]) ).

fof(f494,plain,
    ( n15 = sK0
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl3_16
  <=> n15 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f2365,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f2364,plain,
    ( ~ spl3_16
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f2363]) ).

fof(f2363,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f2362,f303]) ).

fof(f2362,plain,
    ( n8 = sK2
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2361,f164]) ).

fof(f2361,plain,
    ( sum(n8,n0) = sK2
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2360,f29]) ).

fof(f2360,plain,
    ( sK2 = sum(pred(n9),n0)
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2359,f286]) ).

fof(f2359,plain,
    ( sK2 = sum(pred(sum(n15,n10)),n0)
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2358,f13]) ).

fof(f2358,plain,
    ( sK2 = sum(pred(sum(n15,succ(n9))),n0)
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2357,f187]) ).

fof(f2357,plain,
    ( sK2 = sum(pred(sum(n15,succ(n9))),sum(n9,n7))
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2356,f28]) ).

fof(f2356,plain,
    ( sK2 = sum(pred(sum(n15,succ(n9))),sum(n9,pred(n8)))
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2355,f285]) ).

fof(f2355,plain,
    ( sK2 = sum(pred(sum(n15,succ(n9))),sum(n9,pred(sum(n15,n9))))
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2343,f494]) ).

fof(f2343,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f2342,plain,
    ( ~ spl3_16
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f2341]) ).

fof(f2341,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f2340,f310]) ).

fof(f2340,plain,
    ( n15 = sK2
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2339,f126]) ).

fof(f2339,plain,
    ( sum(n5,n10) = sK2
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2338,f26]) ).

fof(f2338,plain,
    ( sK2 = sum(pred(n6),n10)
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2337,f283]) ).

fof(f2337,plain,
    ( sK2 = sum(pred(sum(n15,n7)),n10)
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2336,f10]) ).

fof(f2336,plain,
    ( sK2 = sum(pred(sum(n15,succ(n6))),n10)
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2335,f136]) ).

fof(f2335,plain,
    ( sK2 = sum(pred(sum(n15,succ(n6))),sum(n6,n4))
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2334,f25]) ).

fof(f2334,plain,
    ( sK2 = sum(pred(sum(n15,succ(n6))),sum(n6,pred(n5)))
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2333,f282]) ).

fof(f2333,plain,
    ( sK2 = sum(pred(sum(n15,succ(n6))),sum(n6,pred(sum(n15,n6))))
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2322,f494]) ).

fof(f2322,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f2321,plain,
    ( ~ spl3_16
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2320]) ).

fof(f2320,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2319,f298]) ).

fof(f2319,plain,
    ( n3 = sK2
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2318,f54]) ).

fof(f2318,plain,
    ( sum(n1,n2) = sK2
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2317,f22]) ).

fof(f2317,plain,
    ( sK2 = sum(pred(n2),n2)
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2316,f279]) ).

fof(f2316,plain,
    ( sK2 = sum(pred(sum(n15,n3)),n2)
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2315,f6]) ).

fof(f2315,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),n2)
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2314,f68]) ).

fof(f2314,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,n0))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2313,f21]) ).

fof(f2313,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,pred(n1)))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2312,f278]) ).

fof(f2312,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,pred(sum(n15,n2))))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2301,f494]) ).

fof(f2301,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_19 ),
    inference(superposition,[],[f294,f523]) ).

fof(f2300,plain,
    ( ~ spl3_16
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f2298,f300]) ).

fof(f2298,plain,
    ( n5 = sK2
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2297,f162]) ).

fof(f2297,plain,
    ( sum(n7,n14) = sK2
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2296,f28]) ).

fof(f2296,plain,
    ( sK2 = sum(pred(n8),n14)
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2295,f285]) ).

fof(f2295,plain,
    ( sK2 = sum(pred(sum(n15,n9)),n14)
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2294,f12]) ).

fof(f2294,plain,
    ( sK2 = sum(pred(sum(n15,succ(n8))),n14)
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2293,f170]) ).

fof(f2293,plain,
    ( sK2 = sum(pred(sum(n15,succ(n8))),sum(n8,n6))
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2292,f27]) ).

fof(f2292,plain,
    ( sK2 = sum(pred(sum(n15,succ(n8))),sum(n8,pred(n7)))
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2291,f284]) ).

fof(f2291,plain,
    ( sK2 = sum(pred(sum(n15,succ(n8))),sum(n8,pred(sum(n15,n8))))
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2279,f494]) ).

fof(f2279,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f2278,plain,
    ( ~ spl3_16
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f2277]) ).

fof(f2277,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f2276,f308]) ).

fof(f2276,plain,
    ( n13 = sK2
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2275,f290]) ).

fof(f2275,plain,
    ( sum(n15,n14) = sK2
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2274,f20]) ).

fof(f2274,plain,
    ( sK2 = sum(pred(n0),n14)
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2273,f277]) ).

fof(f2273,plain,
    ( sK2 = sum(pred(sum(n15,n1)),n14)
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2272,f4]) ).

fof(f2272,plain,
    ( sK2 = sum(pred(sum(n15,succ(n0))),n14)
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2271,f50]) ).

fof(f2271,plain,
    ( sK2 = sum(pred(sum(n15,succ(n0))),sum(n0,n14))
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2270,f35]) ).

fof(f2270,plain,
    ( sK2 = sum(pred(sum(n15,succ(n0))),sum(n0,pred(n15)))
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2269,f276]) ).

fof(f2269,plain,
    ( sK2 = sum(pred(sum(n15,succ(n0))),sum(n0,pred(sum(n15,n0))))
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f2257,f494]) ).

fof(f2257,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
    | ~ spl3_17 ),
    inference(superposition,[],[f294,f515]) ).

fof(f2256,plain,
    ( ~ spl3_16
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f2255]) ).

fof(f2255,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f2254,f306]) ).

fof(f2254,plain,
    ( n11 = sK2
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2253,f182]) ).

fof(f2253,plain,
    ( sum(n9,n2) = sK2
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2252,f30]) ).

fof(f2252,plain,
    ( sK2 = sum(pred(n10),n2)
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2251,f287]) ).

fof(f2251,plain,
    ( sK2 = sum(pred(sum(n15,n11)),n2)
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2250,f14]) ).

fof(f2250,plain,
    ( sK2 = sum(pred(sum(n15,succ(n10))),n2)
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2249,f204]) ).

fof(f2249,plain,
    ( sK2 = sum(pred(sum(n15,succ(n10))),sum(n10,n8))
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2248,f29]) ).

fof(f2248,plain,
    ( sK2 = sum(pred(sum(n15,succ(n10))),sum(n10,pred(n9)))
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2247,f286]) ).

fof(f2247,plain,
    ( sK2 = sum(pred(sum(n15,succ(n10))),sum(n10,pred(sum(n15,n10))))
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2234,f494]) ).

fof(f2234,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f2233,plain,
    ( ~ spl3_16
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f2232]) ).

fof(f2232,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f2231,f307]) ).

fof(f2231,plain,
    ( n12 = sK2
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2230,f108]) ).

fof(f2230,plain,
    ( sum(n4,n8) = sK2
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2229,f25]) ).

fof(f2229,plain,
    ( sK2 = sum(pred(n5),n8)
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2228,f282]) ).

fof(f2228,plain,
    ( sK2 = sum(pred(sum(n15,n6)),n8)
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2227,f9]) ).

fof(f2227,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),n8)
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2226,f119]) ).

fof(f2226,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,n3))
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2225,f24]) ).

fof(f2225,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,pred(n4)))
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2224,f281]) ).

fof(f2224,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,pred(sum(n15,n5))))
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2211,f494]) ).

fof(f2211,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f2210,plain,
    ( ~ spl3_16
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f2208,f301]) ).

fof(f2208,plain,
    ( n6 = sK2
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2207,f72]) ).

fof(f2207,plain,
    ( sum(n2,n4) = sK2
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2206,f23]) ).

fof(f2206,plain,
    ( sK2 = sum(pred(n3),n4)
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2205,f280]) ).

fof(f2205,plain,
    ( sK2 = sum(pred(sum(n15,n4)),n4)
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2204,f7]) ).

fof(f2204,plain,
    ( sK2 = sum(pred(sum(n15,succ(n3))),n4)
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2203,f85]) ).

fof(f2203,plain,
    ( sK2 = sum(pred(sum(n15,succ(n3))),sum(n3,n1))
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2202,f22]) ).

fof(f2202,plain,
    ( sK2 = sum(pred(sum(n15,succ(n3))),sum(n3,pred(n2)))
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2201,f279]) ).

fof(f2201,plain,
    ( sK2 = sum(pred(sum(n15,succ(n3))),sum(n3,pred(sum(n15,n3))))
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2188,f494]) ).

fof(f2188,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f2187,plain,
    ( ~ spl3_16
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f2186]) ).

fof(f2186,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f2185,f296]) ).

fof(f2185,plain,
    ( n1 = sK2
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2184,f218]) ).

fof(f2184,plain,
    ( sum(n11,n6) = sK2
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2183,f32]) ).

fof(f2183,plain,
    ( sK2 = sum(pred(n12),n6)
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2182,f289]) ).

fof(f2182,plain,
    ( sK2 = sum(pred(sum(n15,n13)),n6)
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2181,f16]) ).

fof(f2181,plain,
    ( sK2 = sum(pred(sum(n15,succ(n12))),n6)
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2180,f238]) ).

fof(f2180,plain,
    ( sK2 = sum(pred(sum(n15,succ(n12))),sum(n12,n10))
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2179,f31]) ).

fof(f2179,plain,
    ( sK2 = sum(pred(sum(n15,succ(n12))),sum(n12,pred(n11)))
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2178,f288]) ).

fof(f288,plain,
    n11 = sum(n15,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f2178,plain,
    ( sK2 = sum(pred(sum(n15,succ(n12))),sum(n12,pred(sum(n15,n12))))
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2164,f494]) ).

fof(f2164,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f2163,plain,
    ( ~ spl3_16
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f2161,f295]) ).

fof(f2161,plain,
    ( n0 = sK2
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2160,f36]) ).

fof(f2160,plain,
    ( sum(n0,n0) = sK2
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2159,f21]) ).

fof(f2159,plain,
    ( sK2 = sum(pred(n1),n0)
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2158,f278]) ).

fof(f2158,plain,
    ( sK2 = sum(pred(sum(n15,n2)),n0)
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2157,f5]) ).

fof(f2157,plain,
    ( sK2 = sum(pred(sum(n15,succ(n1))),n0)
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2156,f67]) ).

fof(f67,plain,
    n0 = sum(n1,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f2156,plain,
    ( sK2 = sum(pred(sum(n15,succ(n1))),sum(n1,n15))
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2155,f20]) ).

fof(f2155,plain,
    ( sK2 = sum(pred(sum(n15,succ(n1))),sum(n1,pred(n0)))
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2154,f277]) ).

fof(f2154,plain,
    ( sK2 = sum(pred(sum(n15,succ(n1))),sum(n1,pred(sum(n15,n1))))
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2141,f494]) ).

fof(f2141,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f2140,plain,
    ( ~ spl3_16
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f2139]) ).

fof(f2139,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f2138,f309]) ).

fof(f2138,plain,
    ( n14 = sK2
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2137,f200]) ).

fof(f2137,plain,
    ( sum(n10,n4) = sK2
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2136,f31]) ).

fof(f2136,plain,
    ( sK2 = sum(pred(n11),n4)
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2135,f288]) ).

fof(f2135,plain,
    ( sK2 = sum(pred(sum(n15,n12)),n4)
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2134,f15]) ).

fof(f2134,plain,
    ( sK2 = sum(pred(sum(n15,succ(n11))),n4)
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2133,f221]) ).

fof(f2133,plain,
    ( sK2 = sum(pred(sum(n15,succ(n11))),sum(n11,n9))
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2132,f30]) ).

fof(f2132,plain,
    ( sK2 = sum(pred(sum(n15,succ(n11))),sum(n11,pred(n10)))
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2131,f287]) ).

fof(f2131,plain,
    ( sK2 = sum(pred(sum(n15,succ(n11))),sum(n11,pred(sum(n15,n11))))
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2117,f494]) ).

fof(f2117,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f2116,plain,
    ( ~ spl3_16
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2115]) ).

fof(f2115,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2114,f304]) ).

fof(f2114,plain,
    ( n9 = sK2
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2113,f90]) ).

fof(f2113,plain,
    ( sum(n3,n6) = sK2
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2112,f24]) ).

fof(f2112,plain,
    ( sK2 = sum(pred(n4),n6)
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2111,f281]) ).

fof(f2111,plain,
    ( sK2 = sum(pred(sum(n15,n5)),n6)
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2110,f8]) ).

fof(f2110,plain,
    ( sK2 = sum(pred(sum(n15,succ(n4))),n6)
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2109,f102]) ).

fof(f2109,plain,
    ( sK2 = sum(pred(sum(n15,succ(n4))),sum(n4,n2))
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2108,f23]) ).

fof(f2108,plain,
    ( sK2 = sum(pred(sum(n15,succ(n4))),sum(n4,pred(n3)))
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2107,f280]) ).

fof(f2107,plain,
    ( sK2 = sum(pred(sum(n15,succ(n4))),sum(n4,pred(sum(n15,n4))))
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2094,f494]) ).

fof(f2094,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_21 ),
    inference(superposition,[],[f294,f531]) ).

fof(f2093,plain,
    ( ~ spl3_16
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f2092]) ).

fof(f2092,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f2091,f297]) ).

fof(f2091,plain,
    ( n2 = sK2
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2090,f144]) ).

fof(f2090,plain,
    ( sum(n6,n12) = sK2
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2089,f27]) ).

fof(f2089,plain,
    ( sK2 = sum(pred(n7),n12)
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2088,f284]) ).

fof(f2088,plain,
    ( sK2 = sum(pred(sum(n15,n8)),n12)
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2087,f11]) ).

fof(f2087,plain,
    ( sK2 = sum(pred(sum(n15,succ(n7))),n12)
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2086,f153]) ).

fof(f2086,plain,
    ( sK2 = sum(pred(sum(n15,succ(n7))),sum(n7,n5))
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2085,f26]) ).

fof(f2085,plain,
    ( sK2 = sum(pred(sum(n15,succ(n7))),sum(n7,pred(n6)))
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2084,f283]) ).

fof(f2084,plain,
    ( sK2 = sum(pred(sum(n15,succ(n7))),sum(n7,pred(sum(n15,n7))))
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2070,f494]) ).

fof(f2070,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f2053,plain,
    ( ~ spl3_10
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2052,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f2051,f306]) ).

fof(f2051,plain,
    ( n11 = sK2
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2050,f152]) ).

fof(f2050,plain,
    ( sum(n7,n4) = sK2
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2049,f28]) ).

fof(f2049,plain,
    ( sK2 = sum(pred(n8),n4)
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2048,f195]) ).

fof(f2048,plain,
    ( sK2 = sum(pred(sum(n9,n15)),n4)
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2047,f18]) ).

fof(f18,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f2047,plain,
    ( sK2 = sum(pred(sum(n9,succ(n14))),n4)
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2046,f266]) ).

fof(f2046,plain,
    ( sK2 = sum(pred(sum(n9,succ(n14))),sum(n14,n6))
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2045,f27]) ).

fof(f2045,plain,
    ( sK2 = sum(pred(sum(n9,succ(n14))),sum(n14,pred(n7)))
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2044,f194]) ).

fof(f2044,plain,
    ( sK2 = sum(pred(sum(n9,succ(n14))),sum(n14,pred(sum(n9,n14))))
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2031,f571]) ).

fof(f571,plain,
    ( n14 = sK1
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl3_31
  <=> n14 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f2031,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_10 ),
    inference(superposition,[],[f294,f470]) ).

fof(f2030,plain,
    ( ~ spl3_12
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f2028,f310]) ).

fof(f2028,plain,
    ( n15 = sK2
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2027,f186]) ).

fof(f2027,plain,
    ( sum(n9,n6) = sK2
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2026,f30]) ).

fof(f2026,plain,
    ( sK2 = sum(pred(n10),n6)
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2025,f227]) ).

fof(f2025,plain,
    ( sK2 = sum(pred(sum(n11,n15)),n6)
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2024,f18]) ).

fof(f2024,plain,
    ( sK2 = sum(pred(sum(n11,succ(n14))),n6)
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2023,f268]) ).

fof(f2023,plain,
    ( sK2 = sum(pred(sum(n11,succ(n14))),sum(n14,n8))
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2022,f29]) ).

fof(f2022,plain,
    ( sK2 = sum(pred(sum(n11,succ(n14))),sum(n14,pred(n9)))
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2021,f226]) ).

fof(f2021,plain,
    ( sK2 = sum(pred(sum(n11,succ(n14))),sum(n14,pred(sum(n11,n14))))
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2007,f571]) ).

fof(f2007,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f2006,plain,
    ( ~ spl3_9
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f2004,f304]) ).

fof(f2004,plain,
    ( n9 = sK2
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2003,f135]) ).

fof(f2003,plain,
    ( sum(n6,n3) = sK2
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2002,f27]) ).

fof(f2002,plain,
    ( sK2 = sum(pred(n7),n3)
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2001,f179]) ).

fof(f2001,plain,
    ( sK2 = sum(pred(sum(n8,n15)),n3)
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2000,f18]) ).

fof(f2000,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),n3)
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1999,f265]) ).

fof(f1999,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,n5))
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1998,f26]) ).

fof(f1998,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,pred(n6)))
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1997,f178]) ).

fof(f1997,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,pred(sum(n8,n14))))
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1983,f571]) ).

fof(f1983,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_9 ),
    inference(superposition,[],[f294,f466]) ).

fof(f1982,plain,
    ( ~ spl3_8
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1981]) ).

fof(f1981,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1980,f302]) ).

fof(f1980,plain,
    ( n7 = sK2
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1979,f118]) ).

fof(f1979,plain,
    ( sum(n5,n2) = sK2
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1978,f26]) ).

fof(f1978,plain,
    ( sK2 = sum(pred(n6),n2)
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1977,f163]) ).

fof(f1977,plain,
    ( sK2 = sum(pred(sum(n7,n15)),n2)
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1976,f18]) ).

fof(f1976,plain,
    ( sK2 = sum(pred(sum(n7,succ(n14))),n2)
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1975,f264]) ).

fof(f1975,plain,
    ( sK2 = sum(pred(sum(n7,succ(n14))),sum(n14,n4))
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1974,f25]) ).

fof(f1974,plain,
    ( sK2 = sum(pred(sum(n7,succ(n14))),sum(n14,pred(n5)))
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1973,f162]) ).

fof(f1973,plain,
    ( sK2 = sum(pred(sum(n7,succ(n14))),sum(n14,pred(sum(n7,n14))))
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1959,f571]) ).

fof(f1959,plain,
    ( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
    | ~ spl3_8 ),
    inference(superposition,[],[f294,f462]) ).

fof(f1958,plain,
    ( ~ spl3_4
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1957]) ).

fof(f1957,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1956,f310]) ).

fof(f1956,plain,
    ( n15 = sK2
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1955,f66]) ).

fof(f66,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f1955,plain,
    ( sum(n1,n14) = sK2
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1954,f22]) ).

fof(f1954,plain,
    ( sK2 = sum(pred(n2),n14)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1953,f99]) ).

fof(f1953,plain,
    ( sK2 = sum(pred(sum(n3,n15)),n14)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1952,f18]) ).

fof(f1952,plain,
    ( sK2 = sum(pred(sum(n3,succ(n14))),n14)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1951,f260]) ).

fof(f1951,plain,
    ( sK2 = sum(pred(sum(n3,succ(n14))),sum(n14,n0))
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1950,f21]) ).

fof(f1950,plain,
    ( sK2 = sum(pred(sum(n3,succ(n14))),sum(n14,pred(n1)))
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1949,f98]) ).

fof(f1949,plain,
    ( sK2 = sum(pred(sum(n3,succ(n14))),sum(n14,pred(sum(n3,n14))))
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1936,f571]) ).

fof(f1936,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f1935,plain,
    ( ~ spl3_7
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1933,f300]) ).

fof(f1933,plain,
    ( n5 = sK2
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1932,f101]) ).

fof(f1932,plain,
    ( sum(n4,n1) = sK2
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1931,f25]) ).

fof(f1931,plain,
    ( sK2 = sum(pred(n5),n1)
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1930,f147]) ).

fof(f1930,plain,
    ( sK2 = sum(pred(sum(n6,n15)),n1)
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1929,f18]) ).

fof(f1929,plain,
    ( sK2 = sum(pred(sum(n6,succ(n14))),n1)
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1928,f263]) ).

fof(f1928,plain,
    ( sK2 = sum(pred(sum(n6,succ(n14))),sum(n14,n3))
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1927,f24]) ).

fof(f1927,plain,
    ( sK2 = sum(pred(sum(n6,succ(n14))),sum(n14,pred(n4)))
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1926,f146]) ).

fof(f1926,plain,
    ( sK2 = sum(pred(sum(n6,succ(n14))),sum(n14,pred(sum(n6,n14))))
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1912,f571]) ).

fof(f1912,plain,
    ( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
    | ~ spl3_7 ),
    inference(superposition,[],[f294,f458]) ).

fof(f1911,plain,
    ( ~ spl3_6
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1909,f298]) ).

fof(f1909,plain,
    ( n3 = sK2
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1908,f84]) ).

fof(f1908,plain,
    ( sum(n3,n0) = sK2
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1907,f24]) ).

fof(f1907,plain,
    ( sK2 = sum(pred(n4),n0)
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1906,f131]) ).

fof(f1906,plain,
    ( sK2 = sum(pred(sum(n5,n15)),n0)
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1905,f18]) ).

fof(f1905,plain,
    ( sK2 = sum(pred(sum(n5,succ(n14))),n0)
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1904,f262]) ).

fof(f1904,plain,
    ( sK2 = sum(pred(sum(n5,succ(n14))),sum(n14,n2))
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1903,f23]) ).

fof(f1903,plain,
    ( sK2 = sum(pred(sum(n5,succ(n14))),sum(n14,pred(n3)))
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1902,f130]) ).

fof(f1902,plain,
    ( sK2 = sum(pred(sum(n5,succ(n14))),sum(n14,pred(sum(n5,n14))))
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1888,f571]) ).

fof(f1888,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f1887,plain,
    ( ~ spl3_5
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1885,f296]) ).

fof(f1885,plain,
    ( n1 = sK2
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1884,f83]) ).

fof(f83,plain,
    n1 = sum(n2,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f1884,plain,
    ( sum(n2,n15) = sK2
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1883,f23]) ).

fof(f1883,plain,
    ( sK2 = sum(pred(n3),n15)
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1882,f115]) ).

fof(f1882,plain,
    ( sK2 = sum(pred(sum(n4,n15)),n15)
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1881,f18]) ).

fof(f1881,plain,
    ( sK2 = sum(pred(sum(n4,succ(n14))),n15)
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1880,f261]) ).

fof(f1880,plain,
    ( sK2 = sum(pred(sum(n4,succ(n14))),sum(n14,n1))
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1879,f22]) ).

fof(f1879,plain,
    ( sK2 = sum(pred(sum(n4,succ(n14))),sum(n14,pred(n2)))
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1878,f114]) ).

fof(f1878,plain,
    ( sK2 = sum(pred(sum(n4,succ(n14))),sum(n14,pred(sum(n4,n14))))
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1864,f571]) ).

fof(f1864,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f1863,plain,
    ( ~ spl3_14
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1861,f298]) ).

fof(f1861,plain,
    ( n3 = sK2
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1860,f220]) ).

fof(f1860,plain,
    ( sum(n11,n8) = sK2
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1859,f32]) ).

fof(f1859,plain,
    ( sK2 = sum(pred(n12),n8)
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1858,f259]) ).

fof(f1858,plain,
    ( sK2 = sum(pred(sum(n13,n15)),n8)
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1857,f18]) ).

fof(f1857,plain,
    ( sK2 = sum(pred(sum(n13,succ(n14))),n8)
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1856,f270]) ).

fof(f270,plain,
    n8 = sum(n14,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f1856,plain,
    ( sK2 = sum(pred(sum(n13,succ(n14))),sum(n14,n10))
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1855,f31]) ).

fof(f1855,plain,
    ( sK2 = sum(pred(sum(n13,succ(n14))),sum(n14,pred(n11)))
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1854,f258]) ).

fof(f1854,plain,
    ( sK2 = sum(pred(sum(n13,succ(n14))),sum(n14,pred(sum(n13,n14))))
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1839,f571]) ).

fof(f1839,plain,
    ( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
    | ~ spl3_14 ),
    inference(superposition,[],[f294,f486]) ).

fof(f1838,plain,
    ( ~ spl3_3
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1837]) ).

fof(f1837,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1836,f308]) ).

fof(f1836,plain,
    ( n13 = sK2
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1835,f49]) ).

fof(f1835,plain,
    ( sum(n0,n13) = sK2
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1834,f21]) ).

fof(f1834,plain,
    ( sK2 = sum(pred(n1),n13)
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1833,f83]) ).

fof(f1833,plain,
    ( sK2 = sum(pred(sum(n2,n15)),n13)
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1832,f18]) ).

fof(f1832,plain,
    ( sK2 = sum(pred(sum(n2,succ(n14))),n13)
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1831,f275]) ).

fof(f1831,plain,
    ( sK2 = sum(pred(sum(n2,succ(n14))),sum(n14,n15))
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1830,f20]) ).

fof(f1830,plain,
    ( sK2 = sum(pred(sum(n2,succ(n14))),sum(n14,pred(n0)))
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1829,f82]) ).

fof(f1829,plain,
    ( sK2 = sum(pred(sum(n2,succ(n14))),sum(n14,pred(sum(n2,n14))))
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1814,f571]) ).

fof(f1814,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f1813,plain,
    ( ~ spl3_16
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1812]) ).

fof(f1812,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1811,f302]) ).

fof(f1811,plain,
    ( n7 = sK2
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1810,f254]) ).

fof(f1810,plain,
    ( sum(n13,n10) = sK2
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1809,f34]) ).

fof(f1809,plain,
    ( sK2 = sum(pred(n14),n10)
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1808,f291]) ).

fof(f291,plain,
    n14 = sum(n15,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f1808,plain,
    ( sK2 = sum(pred(sum(n15,n15)),n10)
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1807,f18]) ).

fof(f1807,plain,
    ( sK2 = sum(pred(sum(n15,succ(n14))),n10)
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1806,f272]) ).

fof(f272,plain,
    n10 = sum(n14,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f1806,plain,
    ( sK2 = sum(pred(sum(n15,succ(n14))),sum(n14,n12))
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1805,f33]) ).

fof(f1805,plain,
    ( sK2 = sum(pred(sum(n15,succ(n14))),sum(n14,pred(n13)))
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1804,f290]) ).

fof(f1804,plain,
    ( sK2 = sum(pred(sum(n15,succ(n14))),sum(n14,pred(sum(n15,n14))))
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1788,f571]) ).

fof(f1788,plain,
    ( sK2 = sum(pred(sum(n15,succ(sK1))),sum(sK1,pred(sum(n15,sK1))))
    | ~ spl3_16 ),
    inference(superposition,[],[f294,f494]) ).

fof(f1787,plain,
    ( ~ spl3_11
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1785,f308]) ).

fof(f1785,plain,
    ( n13 = sK2
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1784,f169]) ).

fof(f1784,plain,
    ( sum(n8,n5) = sK2
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1783,f29]) ).

fof(f1783,plain,
    ( sK2 = sum(pred(n9),n5)
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1782,f211]) ).

fof(f1782,plain,
    ( sK2 = sum(pred(sum(n10,n15)),n5)
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1781,f18]) ).

fof(f1781,plain,
    ( sK2 = sum(pred(sum(n10,succ(n14))),n5)
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1780,f267]) ).

fof(f1780,plain,
    ( sK2 = sum(pred(sum(n10,succ(n14))),sum(n14,n7))
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1779,f28]) ).

fof(f1779,plain,
    ( sK2 = sum(pred(sum(n10,succ(n14))),sum(n14,pred(n8)))
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1778,f210]) ).

fof(f1778,plain,
    ( sK2 = sum(pred(sum(n10,succ(n14))),sum(n14,pred(sum(n10,n14))))
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1765,f571]) ).

fof(f1765,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_11 ),
    inference(superposition,[],[f294,f474]) ).

fof(f1764,plain,
    ( ~ spl3_1
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1763]) ).

fof(f1763,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1762,f304]) ).

fof(f1762,plain,
    ( n9 = sK2
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1761,f271]) ).

fof(f271,plain,
    n9 = sum(n14,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f1761,plain,
    ( sum(n14,n11) = sK2
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1760,f35]) ).

fof(f1760,plain,
    ( sK2 = sum(pred(n15),n11)
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1759,f51]) ).

fof(f1759,plain,
    ( sK2 = sum(pred(sum(n0,n15)),n11)
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1758,f18]) ).

fof(f1758,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),n11)
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1757,f273]) ).

fof(f273,plain,
    n11 = sum(n14,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f1757,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,n13))
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1756,f34]) ).

fof(f1756,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,pred(n14)))
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1755,f50]) ).

fof(f1755,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,pred(sum(n0,n14))))
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1742,f571]) ).

fof(f1742,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f1740,plain,
    ( ~ spl3_13
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1739]) ).

fof(f1739,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1738,f296]) ).

fof(f1738,plain,
    ( n1 = sK2
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1737,f203]) ).

fof(f1737,plain,
    ( sum(n10,n7) = sK2
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1736,f31]) ).

fof(f1736,plain,
    ( sK2 = sum(pred(n11),n7)
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1735,f243]) ).

fof(f1735,plain,
    ( sK2 = sum(pred(sum(n12,n15)),n7)
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1734,f18]) ).

fof(f1734,plain,
    ( sK2 = sum(pred(sum(n12,succ(n14))),n7)
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1733,f269]) ).

fof(f1733,plain,
    ( sK2 = sum(pred(sum(n12,succ(n14))),sum(n14,n9))
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1732,f30]) ).

fof(f1732,plain,
    ( sK2 = sum(pred(sum(n12,succ(n14))),sum(n14,pred(n10)))
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1731,f242]) ).

fof(f1731,plain,
    ( sK2 = sum(pred(sum(n12,succ(n14))),sum(n14,pred(sum(n12,n14))))
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1716,f482]) ).

fof(f1716,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
    | ~ spl3_31 ),
    inference(superposition,[],[f294,f571]) ).

fof(f1699,plain,
    ( ~ spl3_15
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f1697,f310]) ).

fof(f1697,plain,
    ( n15 = sK2
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1696,f201]) ).

fof(f1696,plain,
    ( sum(n10,n5) = sK2
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1695,f31]) ).

fof(f1695,plain,
    ( sK2 = sum(pred(n11),n5)
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1694,f273]) ).

fof(f1694,plain,
    ( sK2 = sum(pred(sum(n14,n13)),n5)
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1693,f16]) ).

fof(f1693,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),n5)
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1692,f237]) ).

fof(f1692,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,n9))
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1691,f30]) ).

fof(f1691,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,pred(n10)))
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1690,f272]) ).

fof(f1690,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,pred(sum(n14,n12))))
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1677,f490]) ).

fof(f490,plain,
    ( n14 = sK0
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl3_15
  <=> n14 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f1677,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f1676,plain,
    ( ~ spl3_15
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1675,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f1674,f298]) ).

fof(f1674,plain,
    ( n3 = sK2
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1673,f145]) ).

fof(f1673,plain,
    ( sum(n6,n13) = sK2
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1672,f27]) ).

fof(f1672,plain,
    ( sK2 = sum(pred(n7),n13)
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1671,f269]) ).

fof(f1671,plain,
    ( sK2 = sum(pred(sum(n14,n9)),n13)
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1670,f12]) ).

fof(f1670,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),n13)
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1669,f169]) ).

fof(f1669,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,n5))
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1668,f26]) ).

fof(f1668,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,pred(n6)))
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1667,f268]) ).

fof(f1667,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,pred(sum(n14,n8))))
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1654,f490]) ).

fof(f1654,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f1653,plain,
    ( ~ spl3_15
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f1651,f297]) ).

fof(f1651,plain,
    ( n2 = sK2
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1650,f219]) ).

fof(f1650,plain,
    ( sum(n11,n7) = sK2
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1649,f32]) ).

fof(f1649,plain,
    ( sK2 = sum(pred(n12),n7)
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1648,f274]) ).

fof(f1648,plain,
    ( sK2 = sum(pred(sum(n14,n14)),n7)
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1647,f17]) ).

fof(f1647,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),n7)
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1646,f254]) ).

fof(f1646,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,n10))
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1645,f31]) ).

fof(f1645,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(n11)))
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1644,f273]) ).

fof(f1644,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(sum(n14,n13))))
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1630,f490]) ).

fof(f1630,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f1629,plain,
    ( ~ spl3_15
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f1627,f296]) ).

fof(f1627,plain,
    ( n1 = sK2
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1626,f37]) ).

fof(f1626,plain,
    ( sum(n0,n1) = sK2
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1625,f21]) ).

fof(f1625,plain,
    ( sK2 = sum(pred(n1),n1)
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1624,f263]) ).

fof(f1624,plain,
    ( sK2 = sum(pred(sum(n14,n3)),n1)
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1623,f6]) ).

fof(f1623,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),n1)
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1622,f83]) ).

fof(f1622,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,n15))
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1621,f20]) ).

fof(f1621,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,pred(n0)))
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1620,f262]) ).

fof(f1620,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,pred(sum(n14,n2))))
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1608,f490]) ).

fof(f1608,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_19 ),
    inference(superposition,[],[f294,f523]) ).

fof(f1607,plain,
    ( ~ spl3_15
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f1606]) ).

fof(f1606,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f1605,f308]) ).

fof(f1605,plain,
    ( n13 = sK2
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1604,f109]) ).

fof(f1604,plain,
    ( sum(n4,n9) = sK2
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1603,f25]) ).

fof(f1603,plain,
    ( sK2 = sum(pred(n5),n9)
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1602,f267]) ).

fof(f1602,plain,
    ( sK2 = sum(pred(sum(n14,n7)),n9)
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1601,f10]) ).

fof(f1601,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),n9)
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1600,f135]) ).

fof(f1600,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,n3))
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1599,f24]) ).

fof(f1599,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(n4)))
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1598,f266]) ).

fof(f1598,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(sum(n14,n6))))
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1585,f490]) ).

fof(f1585,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f1584,plain,
    ( ~ spl3_15
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f1583]) ).

fof(f1583,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f1582,f307]) ).

fof(f1582,plain,
    ( n12 = sK2
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1581,f183]) ).

fof(f1581,plain,
    ( sum(n9,n3) = sK2
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1580,f30]) ).

fof(f1580,plain,
    ( sK2 = sum(pred(n10),n3)
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1579,f272]) ).

fof(f1579,plain,
    ( sK2 = sum(pred(sum(n14,n12)),n3)
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1578,f15]) ).

fof(f1578,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),n3)
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1577,f220]) ).

fof(f1577,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,n8))
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1576,f29]) ).

fof(f1576,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,pred(n9)))
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1575,f271]) ).

fof(f1575,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,pred(sum(n14,n11))))
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1561,f490]) ).

fof(f1561,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f1560,plain,
    ( ~ spl3_15
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f1558,f302]) ).

fof(f1558,plain,
    ( n7 = sK2
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1557,f73]) ).

fof(f1557,plain,
    ( sum(n2,n5) = sK2
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1556,f23]) ).

fof(f1556,plain,
    ( sK2 = sum(pred(n3),n5)
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1555,f265]) ).

fof(f1555,plain,
    ( sK2 = sum(pred(sum(n14,n5)),n5)
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1554,f8]) ).

fof(f1554,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),n5)
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1553,f101]) ).

fof(f1553,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,n1))
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1552,f22]) ).

fof(f1552,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,pred(n2)))
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1551,f264]) ).

fof(f1551,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,pred(sum(n14,n4))))
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1539,f490]) ).

fof(f1539,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_21 ),
    inference(superposition,[],[f294,f531]) ).

fof(f1538,plain,
    ( ~ spl3_15
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1537,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f1536,f305]) ).

fof(f1536,plain,
    ( n10 = sK2
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1535,f91]) ).

fof(f1535,plain,
    ( sum(n3,n7) = sK2
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1534,f24]) ).

fof(f1534,plain,
    ( sK2 = sum(pred(n4),n7)
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1533,f266]) ).

fof(f1533,plain,
    ( sK2 = sum(pred(sum(n14,n6)),n7)
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1532,f9]) ).

fof(f1532,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),n7)
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1531,f118]) ).

fof(f1531,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,n2))
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1530,f23]) ).

fof(f1530,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(n3)))
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1529,f265]) ).

fof(f1529,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(sum(n14,n5))))
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1516,f490]) ).

fof(f1516,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f1515,plain,
    ( ~ spl3_15
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1514,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1513,f306]) ).

fof(f1513,plain,
    ( n11 = sK2
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1512,f273]) ).

fof(f1512,plain,
    ( sum(n14,n13) = sK2
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1511,f35]) ).

fof(f1511,plain,
    ( sK2 = sum(pred(n15),n13)
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1510,f261]) ).

fof(f1510,plain,
    ( sK2 = sum(pred(sum(n14,n1)),n13)
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1509,f4]) ).

fof(f1509,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),n13)
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1508,f49]) ).

fof(f1508,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,n13))
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1507,f34]) ).

fof(f1507,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(n14)))
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1506,f260]) ).

fof(f1506,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(sum(n14,n0))))
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1494,f490]) ).

fof(f1494,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
    | ~ spl3_17 ),
    inference(superposition,[],[f294,f515]) ).

fof(f1493,plain,
    ( ~ spl3_15
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f1492]) ).

fof(f1492,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f1491,f309]) ).

fof(f1491,plain,
    ( n14 = sK2
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1490,f291]) ).

fof(f1490,plain,
    ( sum(n15,n15) = sK2
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1489,f20]) ).

fof(f1489,plain,
    ( sK2 = sum(pred(n0),n15)
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1488,f262]) ).

fof(f1488,plain,
    ( sK2 = sum(pred(sum(n14,n2)),n15)
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1487,f5]) ).

fof(f1487,plain,
    ( sK2 = sum(pred(sum(n14,succ(n1))),n15)
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1486,f66]) ).

fof(f1486,plain,
    ( sK2 = sum(pred(sum(n14,succ(n1))),sum(n1,n14))
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1485,f35]) ).

fof(f1485,plain,
    ( sK2 = sum(pred(sum(n14,succ(n1))),sum(n1,pred(n15)))
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1484,f261]) ).

fof(f1484,plain,
    ( sK2 = sum(pred(sum(n14,succ(n1))),sum(n1,pred(sum(n14,n1))))
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1471,f490]) ).

fof(f1471,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f1470,plain,
    ( ~ spl3_15
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f1468,f304]) ).

fof(f1468,plain,
    ( n9 = sK2
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1467,f165]) ).

fof(f1467,plain,
    ( sum(n8,n1) = sK2
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1466,f29]) ).

fof(f1466,plain,
    ( sK2 = sum(pred(n9),n1)
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1465,f271]) ).

fof(f1465,plain,
    ( sK2 = sum(pred(sum(n14,n11)),n1)
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1464,f14]) ).

fof(f1464,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),n1)
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1463,f203]) ).

fof(f1463,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,n7))
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1462,f28]) ).

fof(f1462,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,pred(n8)))
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1461,f270]) ).

fof(f1461,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,pred(sum(n14,n10))))
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1447,f490]) ).

fof(f1447,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f1446,plain,
    ( ~ spl3_15
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1444,f300]) ).

fof(f1444,plain,
    ( n5 = sK2
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1443,f237]) ).

fof(f1443,plain,
    ( sum(n12,n9) = sK2
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1442,f33]) ).

fof(f1442,plain,
    ( sK2 = sum(pred(n13),n9)
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1441,f275]) ).

fof(f1441,plain,
    ( sK2 = sum(pred(sum(n14,n15)),n9)
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1440,f18]) ).

fof(f1440,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),n9)
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1439,f271]) ).

fof(f1439,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,n11))
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1438,f32]) ).

fof(f1438,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(n12)))
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1437,f274]) ).

fof(f1437,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(sum(n14,n14))))
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1422,f490]) ).

fof(f1422,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
    | ~ spl3_31 ),
    inference(superposition,[],[f294,f571]) ).

fof(f1421,plain,
    ( ~ spl3_15
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f1420]) ).

fof(f1420,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f1419,f301]) ).

fof(f1419,plain,
    ( n6 = sK2
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1418,f163]) ).

fof(f1418,plain,
    ( sum(n7,n15) = sK2
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1417,f28]) ).

fof(f1417,plain,
    ( sK2 = sum(pred(n8),n15)
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1416,f270]) ).

fof(f1416,plain,
    ( sK2 = sum(pred(sum(n14,n10)),n15)
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1415,f13]) ).

fof(f1415,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),n15)
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1414,f186]) ).

fof(f1414,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,n6))
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1413,f27]) ).

fof(f1413,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(n7)))
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1412,f269]) ).

fof(f1412,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(sum(n14,n9))))
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1397,f490]) ).

fof(f1397,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f1396,plain,
    ( ~ spl3_15
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f1394,f299]) ).

fof(f1394,plain,
    ( n4 = sK2
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1393,f55]) ).

fof(f1393,plain,
    ( sum(n1,n3) = sK2
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1392,f22]) ).

fof(f1392,plain,
    ( sK2 = sum(pred(n2),n3)
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1391,f264]) ).

fof(f1391,plain,
    ( sK2 = sum(pred(sum(n14,n4)),n3)
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1390,f7]) ).

fof(f1390,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),n3)
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1389,f84]) ).

fof(f1389,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,n0))
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1388,f21]) ).

fof(f1388,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(n1)))
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1387,f263]) ).

fof(f1387,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(sum(n14,n3))))
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1373,f490]) ).

fof(f1373,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f1372,plain,
    ( ~ spl3_15
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1371,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f1370,f295]) ).

fof(f1370,plain,
    ( n0 = sK2
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1369,f127]) ).

fof(f1369,plain,
    ( sum(n5,n11) = sK2
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1368,f26]) ).

fof(f1368,plain,
    ( sK2 = sum(pred(n6),n11)
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1367,f268]) ).

fof(f1367,plain,
    ( sK2 = sum(pred(sum(n14,n8)),n11)
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1366,f11]) ).

fof(f1366,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),n11)
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1365,f152]) ).

fof(f1365,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,n4))
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1364,f25]) ).

fof(f1364,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,pred(n5)))
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1363,f267]) ).

fof(f1363,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,pred(sum(n14,n7))))
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1348,f490]) ).

fof(f1348,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f1331,plain,
    ( ~ spl3_1
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1330]) ).

fof(f1330,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1329,f307]) ).

fof(f1329,plain,
    ( n12 = sK2
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1328,f289]) ).

fof(f1328,plain,
    ( sum(n15,n13) = sK2
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1327,f20]) ).

fof(f1327,plain,
    ( sK2 = sum(pred(n0),n13)
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1326,f36]) ).

fof(f1326,plain,
    ( sK2 = sum(pred(sum(n0,n0)),n13)
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1325,f19]) ).

fof(f19,plain,
    n0 = succ(n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f1325,plain,
    ( sK2 = sum(pred(sum(n0,succ(n15))),n13)
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1324,f290]) ).

fof(f1324,plain,
    ( sK2 = sum(pred(sum(n0,succ(n15))),sum(n15,n14))
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1323,f35]) ).

fof(f1323,plain,
    ( sK2 = sum(pred(sum(n0,succ(n15))),sum(n15,pred(n15)))
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1322,f51]) ).

fof(f1322,plain,
    ( sK2 = sum(pred(sum(n0,succ(n15))),sum(n15,pred(sum(n0,n15))))
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1307,f575]) ).

fof(f575,plain,
    ( n15 = sK1
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl3_32
  <=> n15 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f1307,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_1 ),
    inference(superposition,[],[f294,f434]) ).

fof(f1306,plain,
    ( ~ spl3_16
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1305]) ).

fof(f1305,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1304,f305]) ).

fof(f1304,plain,
    ( n10 = sK2
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1303,f272]) ).

fof(f1303,plain,
    ( sum(n14,n12) = sK2
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1302,f35]) ).

fof(f1302,plain,
    ( sK2 = sum(pred(n15),n12)
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1301,f276]) ).

fof(f1301,plain,
    ( sK2 = sum(pred(sum(n15,n0)),n12)
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1300,f19]) ).

fof(f1300,plain,
    ( sK2 = sum(pred(sum(n15,succ(n15))),n12)
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1299,f289]) ).

fof(f1299,plain,
    ( sK2 = sum(pred(sum(n15,succ(n15))),sum(n15,n13))
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1298,f34]) ).

fof(f1298,plain,
    ( sK2 = sum(pred(sum(n15,succ(n15))),sum(n15,pred(n14)))
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1297,f291]) ).

fof(f1297,plain,
    ( sK2 = sum(pred(sum(n15,succ(n15))),sum(n15,pred(sum(n15,n15))))
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1281,f575]) ).

fof(f1281,plain,
    ( sK2 = sum(pred(sum(n15,succ(sK1))),sum(sK1,pred(sum(n15,sK1))))
    | ~ spl3_16 ),
    inference(superposition,[],[f294,f494]) ).

fof(f1280,plain,
    ( ~ spl3_15
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1279]) ).

fof(f1279,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1278,f303]) ).

fof(f1278,plain,
    ( n8 = sK2
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1277,f255]) ).

fof(f1277,plain,
    ( sum(n13,n11) = sK2
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1276,f34]) ).

fof(f1276,plain,
    ( sK2 = sum(pred(n14),n11)
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1275,f260]) ).

fof(f1275,plain,
    ( sK2 = sum(pred(sum(n14,n0)),n11)
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1274,f19]) ).

fof(f1274,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),n11)
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1273,f288]) ).

fof(f1273,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,n12))
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1272,f33]) ).

fof(f1272,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(n13)))
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1271,f275]) ).

fof(f1271,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(sum(n14,n15))))
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1256,f575]) ).

fof(f1256,plain,
    ( sK2 = sum(pred(sum(n14,succ(sK1))),sum(sK1,pred(sum(n14,sK1))))
    | ~ spl3_15 ),
    inference(superposition,[],[f294,f490]) ).

fof(f1255,plain,
    ( ~ spl3_14
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1253,f301]) ).

fof(f1253,plain,
    ( n6 = sK2
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1252,f238]) ).

fof(f1252,plain,
    ( sum(n12,n10) = sK2
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1251,f33]) ).

fof(f1251,plain,
    ( sK2 = sum(pred(n13),n10)
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1250,f244]) ).

fof(f1250,plain,
    ( sK2 = sum(pred(sum(n13,n0)),n10)
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1249,f19]) ).

fof(f1249,plain,
    ( sK2 = sum(pred(sum(n13,succ(n15))),n10)
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1248,f287]) ).

fof(f1248,plain,
    ( sK2 = sum(pred(sum(n13,succ(n15))),sum(n15,n11))
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1247,f32]) ).

fof(f1247,plain,
    ( sK2 = sum(pred(sum(n13,succ(n15))),sum(n15,pred(n12)))
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1246,f259]) ).

fof(f1246,plain,
    ( sK2 = sum(pred(sum(n13,succ(n15))),sum(n15,pred(sum(n13,n15))))
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1232,f575]) ).

fof(f1232,plain,
    ( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
    | ~ spl3_14 ),
    inference(superposition,[],[f294,f486]) ).

fof(f1231,plain,
    ( ~ spl3_13
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1229,f299]) ).

fof(f1229,plain,
    ( n4 = sK2
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1228,f221]) ).

fof(f1228,plain,
    ( sum(n11,n9) = sK2
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1227,f32]) ).

fof(f1227,plain,
    ( sK2 = sum(pred(n12),n9)
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1226,f228]) ).

fof(f1226,plain,
    ( sK2 = sum(pred(sum(n12,n0)),n9)
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1225,f19]) ).

fof(f1225,plain,
    ( sK2 = sum(pred(sum(n12,succ(n15))),n9)
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1224,f286]) ).

fof(f1224,plain,
    ( sK2 = sum(pred(sum(n12,succ(n15))),sum(n15,n10))
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1223,f31]) ).

fof(f1223,plain,
    ( sK2 = sum(pred(sum(n12,succ(n15))),sum(n15,pred(n11)))
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1222,f243]) ).

fof(f1222,plain,
    ( sK2 = sum(pred(sum(n12,succ(n15))),sum(n15,pred(sum(n12,n15))))
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1209,f575]) ).

fof(f1209,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_13 ),
    inference(superposition,[],[f294,f482]) ).

fof(f1208,plain,
    ( ~ spl3_12
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1207]) ).

fof(f1207,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1206,f297]) ).

fof(f1206,plain,
    ( n2 = sK2
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1205,f204]) ).

fof(f1205,plain,
    ( sum(n10,n8) = sK2
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1204,f31]) ).

fof(f1204,plain,
    ( sK2 = sum(pred(n11),n8)
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1203,f212]) ).

fof(f1203,plain,
    ( sK2 = sum(pred(sum(n11,n0)),n8)
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1202,f19]) ).

fof(f1202,plain,
    ( sK2 = sum(pred(sum(n11,succ(n15))),n8)
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1201,f285]) ).

fof(f1201,plain,
    ( sK2 = sum(pred(sum(n11,succ(n15))),sum(n15,n9))
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1200,f30]) ).

fof(f1200,plain,
    ( sK2 = sum(pred(sum(n11,succ(n15))),sum(n15,pred(n10)))
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1199,f227]) ).

fof(f1199,plain,
    ( sK2 = sum(pred(sum(n11,succ(n15))),sum(n15,pred(sum(n11,n15))))
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1187,f575]) ).

fof(f1187,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_12 ),
    inference(superposition,[],[f294,f478]) ).

fof(f1186,plain,
    ( ~ spl3_11
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1185]) ).

fof(f1185,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1184,f295]) ).

fof(f1184,plain,
    ( n0 = sK2
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1183,f187]) ).

fof(f1183,plain,
    ( sum(n9,n7) = sK2
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1182,f30]) ).

fof(f1182,plain,
    ( sK2 = sum(pred(n10),n7)
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1181,f196]) ).

fof(f1181,plain,
    ( sK2 = sum(pred(sum(n10,n0)),n7)
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1180,f19]) ).

fof(f1180,plain,
    ( sK2 = sum(pred(sum(n10,succ(n15))),n7)
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1179,f284]) ).

fof(f1179,plain,
    ( sK2 = sum(pred(sum(n10,succ(n15))),sum(n15,n8))
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1178,f29]) ).

fof(f1178,plain,
    ( sK2 = sum(pred(sum(n10,succ(n15))),sum(n15,pred(n9)))
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1177,f211]) ).

fof(f1177,plain,
    ( sK2 = sum(pred(sum(n10,succ(n15))),sum(n15,pred(sum(n10,n15))))
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1166,f575]) ).

fof(f1166,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_11 ),
    inference(superposition,[],[f294,f474]) ).

fof(f1165,plain,
    ( ~ spl3_10
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1164]) ).

fof(f1164,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1163,f309]) ).

fof(f1163,plain,
    ( n14 = sK2
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1162,f170]) ).

fof(f1162,plain,
    ( sum(n8,n6) = sK2
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1161,f29]) ).

fof(f1161,plain,
    ( sK2 = sum(pred(n9),n6)
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1160,f180]) ).

fof(f1160,plain,
    ( sK2 = sum(pred(sum(n9,n0)),n6)
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1159,f19]) ).

fof(f1159,plain,
    ( sK2 = sum(pred(sum(n9,succ(n15))),n6)
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1158,f283]) ).

fof(f1158,plain,
    ( sK2 = sum(pred(sum(n9,succ(n15))),sum(n15,n7))
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1157,f28]) ).

fof(f1157,plain,
    ( sK2 = sum(pred(sum(n9,succ(n15))),sum(n15,pred(n8)))
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1156,f195]) ).

fof(f1156,plain,
    ( sK2 = sum(pred(sum(n9,succ(n15))),sum(n15,pred(sum(n9,n15))))
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1146,f575]) ).

fof(f1146,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_10 ),
    inference(superposition,[],[f294,f470]) ).

fof(f1145,plain,
    ( ~ spl3_9
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1143,f307]) ).

fof(f1143,plain,
    ( n12 = sK2
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1142,f153]) ).

fof(f1142,plain,
    ( sum(n7,n5) = sK2
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1141,f28]) ).

fof(f1141,plain,
    ( sK2 = sum(pred(n8),n5)
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1140,f164]) ).

fof(f1140,plain,
    ( sK2 = sum(pred(sum(n8,n0)),n5)
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1139,f19]) ).

fof(f1139,plain,
    ( sK2 = sum(pred(sum(n8,succ(n15))),n5)
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1138,f282]) ).

fof(f1138,plain,
    ( sK2 = sum(pred(sum(n8,succ(n15))),sum(n15,n6))
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1137,f27]) ).

fof(f1137,plain,
    ( sK2 = sum(pred(sum(n8,succ(n15))),sum(n15,pred(n7)))
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1136,f179]) ).

fof(f1136,plain,
    ( sK2 = sum(pred(sum(n8,succ(n15))),sum(n15,pred(sum(n8,n15))))
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1127,f575]) ).

fof(f1127,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_9 ),
    inference(superposition,[],[f294,f466]) ).

fof(f1126,plain,
    ( ~ spl3_8
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1125]) ).

fof(f1125,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1124,f305]) ).

fof(f1124,plain,
    ( n10 = sK2
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1123,f136]) ).

fof(f1123,plain,
    ( sum(n6,n4) = sK2
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1122,f27]) ).

fof(f1122,plain,
    ( sK2 = sum(pred(n7),n4)
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1121,f148]) ).

fof(f1121,plain,
    ( sK2 = sum(pred(sum(n7,n0)),n4)
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1120,f19]) ).

fof(f1120,plain,
    ( sK2 = sum(pred(sum(n7,succ(n15))),n4)
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1119,f281]) ).

fof(f1119,plain,
    ( sK2 = sum(pred(sum(n7,succ(n15))),sum(n15,n5))
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1118,f26]) ).

fof(f1118,plain,
    ( sK2 = sum(pred(sum(n7,succ(n15))),sum(n15,pred(n6)))
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1117,f163]) ).

fof(f1117,plain,
    ( sK2 = sum(pred(sum(n7,succ(n15))),sum(n15,pred(sum(n7,n15))))
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1109,f575]) ).

fof(f1109,plain,
    ( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
    | ~ spl3_8 ),
    inference(superposition,[],[f294,f462]) ).

fof(f1108,plain,
    ( ~ spl3_7
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1106,f303]) ).

fof(f1106,plain,
    ( n8 = sK2
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1105,f119]) ).

fof(f1105,plain,
    ( sum(n5,n3) = sK2
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1104,f26]) ).

fof(f1104,plain,
    ( sK2 = sum(pred(n6),n3)
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1103,f132]) ).

fof(f1103,plain,
    ( sK2 = sum(pred(sum(n6,n0)),n3)
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1102,f19]) ).

fof(f1102,plain,
    ( sK2 = sum(pred(sum(n6,succ(n15))),n3)
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1101,f280]) ).

fof(f1101,plain,
    ( sK2 = sum(pred(sum(n6,succ(n15))),sum(n15,n4))
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1100,f25]) ).

fof(f1100,plain,
    ( sK2 = sum(pred(sum(n6,succ(n15))),sum(n15,pred(n5)))
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1099,f147]) ).

fof(f1099,plain,
    ( sK2 = sum(pred(sum(n6,succ(n15))),sum(n15,pred(sum(n6,n15))))
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1092,f575]) ).

fof(f1092,plain,
    ( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
    | ~ spl3_7 ),
    inference(superposition,[],[f294,f458]) ).

fof(f1091,plain,
    ( ~ spl3_6
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1089,f301]) ).

fof(f1089,plain,
    ( n6 = sK2
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1088,f102]) ).

fof(f1088,plain,
    ( sum(n4,n2) = sK2
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1087,f25]) ).

fof(f1087,plain,
    ( sK2 = sum(pred(n5),n2)
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1086,f116]) ).

fof(f1086,plain,
    ( sK2 = sum(pred(sum(n5,n0)),n2)
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1085,f19]) ).

fof(f1085,plain,
    ( sK2 = sum(pred(sum(n5,succ(n15))),n2)
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1084,f279]) ).

fof(f1084,plain,
    ( sK2 = sum(pred(sum(n5,succ(n15))),sum(n15,n3))
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1083,f24]) ).

fof(f1083,plain,
    ( sK2 = sum(pred(sum(n5,succ(n15))),sum(n15,pred(n4)))
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1082,f131]) ).

fof(f1082,plain,
    ( sK2 = sum(pred(sum(n5,succ(n15))),sum(n15,pred(sum(n5,n15))))
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1076,f575]) ).

fof(f1076,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_6 ),
    inference(superposition,[],[f294,f454]) ).

fof(f1075,plain,
    ( ~ spl3_5
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1074]) ).

fof(f1074,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1073,f299]) ).

fof(f1073,plain,
    ( n4 = sK2
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1072,f85]) ).

fof(f1072,plain,
    ( sum(n3,n1) = sK2
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1071,f24]) ).

fof(f1071,plain,
    ( sK2 = sum(pred(n4),n1)
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1070,f100]) ).

fof(f1070,plain,
    ( sK2 = sum(pred(sum(n4,n0)),n1)
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1069,f19]) ).

fof(f1069,plain,
    ( sK2 = sum(pred(sum(n4,succ(n15))),n1)
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1068,f278]) ).

fof(f1068,plain,
    ( sK2 = sum(pred(sum(n4,succ(n15))),sum(n15,n2))
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1067,f23]) ).

fof(f1067,plain,
    ( sK2 = sum(pred(sum(n4,succ(n15))),sum(n15,pred(n3)))
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1066,f115]) ).

fof(f1066,plain,
    ( sK2 = sum(pred(sum(n4,succ(n15))),sum(n15,pred(sum(n4,n15))))
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1065,f575]) ).

fof(f1065,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_5 ),
    inference(superposition,[],[f294,f450]) ).

fof(f1060,plain,
    ( ~ spl3_4
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1059]) ).

fof(f1059,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1058,f297]) ).

fof(f1058,plain,
    ( n2 = sK2
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1057,f68]) ).

fof(f1057,plain,
    ( sum(n2,n0) = sK2
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1056,f23]) ).

fof(f1056,plain,
    ( sK2 = sum(pred(n3),n0)
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1055,f84]) ).

fof(f1055,plain,
    ( sK2 = sum(pred(sum(n3,n0)),n0)
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1054,f19]) ).

fof(f1054,plain,
    ( sK2 = sum(pred(sum(n3,succ(n15))),n0)
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1053,f277]) ).

fof(f1053,plain,
    ( sK2 = sum(pred(sum(n3,succ(n15))),sum(n15,n1))
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1052,f22]) ).

fof(f1052,plain,
    ( sK2 = sum(pred(sum(n3,succ(n15))),sum(n15,pred(n2)))
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1051,f99]) ).

fof(f1051,plain,
    ( sK2 = sum(pred(sum(n3,succ(n15))),sum(n15,pred(sum(n3,n15))))
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1050,f575]) ).

fof(f1050,plain,
    ( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
    | ~ spl3_4 ),
    inference(superposition,[],[f294,f446]) ).

fof(f1046,plain,
    ( ~ spl3_3
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1044,f295]) ).

fof(f1044,plain,
    ( n0 = sK2
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1043,f67]) ).

fof(f1043,plain,
    ( sum(n1,n15) = sK2
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1042,f22]) ).

fof(f1042,plain,
    ( sK2 = sum(pred(n2),n15)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1041,f68]) ).

fof(f1041,plain,
    ( sK2 = sum(pred(sum(n2,n0)),n15)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1040,f19]) ).

fof(f1040,plain,
    ( sK2 = sum(pred(sum(n2,succ(n15))),n15)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1039,f276]) ).

fof(f1039,plain,
    ( sK2 = sum(pred(sum(n2,succ(n15))),sum(n15,n0))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1038,f21]) ).

fof(f1038,plain,
    ( sK2 = sum(pred(sum(n2,succ(n15))),sum(n15,pred(n1)))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1037,f83]) ).

fof(f1037,plain,
    ( sK2 = sum(pred(sum(n2,succ(n15))),sum(n15,pred(sum(n2,n15))))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1036,f575]) ).

fof(f1036,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_3 ),
    inference(superposition,[],[f294,f442]) ).

fof(f1032,plain,
    ( ~ spl3_2
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1031]) ).

fof(f1031,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1030,f309]) ).

fof(f1030,plain,
    ( n14 = sK2
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1029,f50]) ).

fof(f1029,plain,
    ( sum(n0,n14) = sK2
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1028,f21]) ).

fof(f1028,plain,
    ( sK2 = sum(pred(n1),n14)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1027,f52]) ).

fof(f1027,plain,
    ( sK2 = sum(pred(sum(n1,n0)),n14)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1026,f19]) ).

fof(f1026,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),n14)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1025,f291]) ).

fof(f1025,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,n15))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1024,f20]) ).

fof(f1024,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(n0)))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f998,f67]) ).

fof(f998,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(sum(n1,n15))))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(superposition,[],[f497,f575]) ).

fof(f497,plain,
    ( sK2 = sum(pred(sum(n1,succ(sK1))),sum(sK1,pred(sum(n1,sK1))))
    | ~ spl3_2 ),
    inference(superposition,[],[f294,f438]) ).

fof(f438,plain,
    ( n1 = sK0
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl3_2
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f1023,plain,
    ( ~ spl3_2
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1022,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1021,f309]) ).

fof(f1021,plain,
    ( n14 = sK2
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1020,f50]) ).

fof(f1020,plain,
    ( sum(n0,n14) = sK2
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1019,f21]) ).

fof(f1019,plain,
    ( sK2 = sum(pred(n1),n14)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1018,f52]) ).

fof(f1018,plain,
    ( sK2 = sum(pred(sum(n1,n0)),n14)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1017,f19]) ).

fof(f1017,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),n14)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1016,f291]) ).

fof(f1016,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,n15))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1015,f20]) ).

fof(f1015,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(n0)))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1014,f67]) ).

fof(f1014,plain,
    ( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(sum(n1,n15))))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f997,f438]) ).

fof(f997,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
    | ~ spl3_32 ),
    inference(superposition,[],[f294,f575]) ).

fof(f996,plain,
    ( ~ spl3_2
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f995]) ).

fof(f995,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f994,f306]) ).

fof(f994,plain,
    ( n11 = sK2
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f993,f288]) ).

fof(f993,plain,
    ( sum(n15,n12) = sK2
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f992,f20]) ).

fof(f992,plain,
    ( sK2 = sum(pred(n0),n12)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f991,f67]) ).

fof(f991,plain,
    ( sK2 = sum(pred(sum(n1,n15)),n12)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f990,f18]) ).

fof(f990,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),n12)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f989,f274]) ).

fof(f989,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,n14))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f988,f35]) ).

fof(f988,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(n15)))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f963,f66]) ).

fof(f963,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(sum(n1,n14))))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(superposition,[],[f497,f571]) ).

fof(f987,plain,
    ( ~ spl3_2
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f985,f306]) ).

fof(f985,plain,
    ( n11 = sK2
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f984,f288]) ).

fof(f984,plain,
    ( sum(n15,n12) = sK2
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f983,f20]) ).

fof(f983,plain,
    ( sK2 = sum(pred(n0),n12)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f982,f67]) ).

fof(f982,plain,
    ( sK2 = sum(pred(sum(n1,n15)),n12)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f981,f18]) ).

fof(f981,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),n12)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f980,f274]) ).

fof(f980,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,n14))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f979,f35]) ).

fof(f979,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(n15)))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f978,f66]) ).

fof(f978,plain,
    ( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(sum(n1,n14))))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f962,f438]) ).

fof(f962,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
    | ~ spl3_31 ),
    inference(superposition,[],[f294,f571]) ).

fof(f961,plain,
    ( ~ spl3_2
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f960]) ).

fof(f960,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f959,f303]) ).

fof(f959,plain,
    ( n8 = sK2
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f958,f270]) ).

fof(f958,plain,
    ( sum(n14,n10) = sK2
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f957,f35]) ).

fof(f957,plain,
    ( sK2 = sum(pred(n15),n10)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f956,f66]) ).

fof(f956,plain,
    ( sK2 = sum(pred(sum(n1,n14)),n10)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f955,f17]) ).

fof(f955,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),n10)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f954,f257]) ).

fof(f954,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,n13))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f953,f34]) ).

fof(f953,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(n14)))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f929,f65]) ).

fof(f929,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(sum(n1,n13))))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(superposition,[],[f497,f567]) ).

fof(f952,plain,
    ( ~ spl3_2
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f951]) ).

fof(f951,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f950,f303]) ).

fof(f950,plain,
    ( n8 = sK2
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f949,f270]) ).

fof(f949,plain,
    ( sum(n14,n10) = sK2
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f948,f35]) ).

fof(f948,plain,
    ( sK2 = sum(pred(n15),n10)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f947,f66]) ).

fof(f947,plain,
    ( sK2 = sum(pred(sum(n1,n14)),n10)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f946,f17]) ).

fof(f946,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),n10)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f945,f257]) ).

fof(f945,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,n13))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f944,f34]) ).

fof(f944,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(n14)))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f943,f65]) ).

fof(f943,plain,
    ( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(sum(n1,n13))))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f928,f438]) ).

fof(f928,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_30 ),
    inference(superposition,[],[f294,f567]) ).

fof(f927,plain,
    ( ~ spl3_2
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f926]) ).

fof(f926,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f925,f300]) ).

fof(f925,plain,
    ( n5 = sK2
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f924,f252]) ).

fof(f924,plain,
    ( sum(n13,n8) = sK2
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f923,f34]) ).

fof(f923,plain,
    ( sK2 = sum(pred(n14),n8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f922,f65]) ).

fof(f922,plain,
    ( sK2 = sum(pred(sum(n1,n13)),n8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f921,f16]) ).

fof(f921,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),n8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f920,f240]) ).

fof(f920,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,n12))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f919,f33]) ).

fof(f919,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(n13)))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f896,f64]) ).

fof(f896,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(sum(n1,n12))))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(superposition,[],[f497,f563]) ).

fof(f918,plain,
    ( ~ spl3_2
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f916,f300]) ).

fof(f916,plain,
    ( n5 = sK2
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f915,f252]) ).

fof(f915,plain,
    ( sum(n13,n8) = sK2
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f914,f34]) ).

fof(f914,plain,
    ( sK2 = sum(pred(n14),n8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f913,f65]) ).

fof(f913,plain,
    ( sK2 = sum(pred(sum(n1,n13)),n8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f912,f16]) ).

fof(f912,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),n8)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f911,f240]) ).

fof(f911,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,n12))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f910,f33]) ).

fof(f910,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(n13)))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f909,f64]) ).

fof(f909,plain,
    ( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(sum(n1,n12))))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f895,f438]) ).

fof(f895,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_29 ),
    inference(superposition,[],[f294,f563]) ).

fof(f894,plain,
    ( ~ spl3_2
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f892,f297]) ).

fof(f892,plain,
    ( n2 = sK2
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f891,f234]) ).

fof(f891,plain,
    ( sum(n12,n6) = sK2
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f890,f33]) ).

fof(f890,plain,
    ( sK2 = sum(pred(n13),n6)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f889,f64]) ).

fof(f889,plain,
    ( sK2 = sum(pred(sum(n1,n12)),n6)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f888,f15]) ).

fof(f888,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),n6)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f887,f223]) ).

fof(f887,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,n11))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f886,f32]) ).

fof(f886,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(n12)))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f864,f63]) ).

fof(f864,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(sum(n1,n11))))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(superposition,[],[f497,f559]) ).

fof(f885,plain,
    ( ~ spl3_2
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f884]) ).

fof(f884,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f883,f297]) ).

fof(f883,plain,
    ( n2 = sK2
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f882,f234]) ).

fof(f882,plain,
    ( sum(n12,n6) = sK2
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f881,f33]) ).

fof(f881,plain,
    ( sK2 = sum(pred(n13),n6)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f880,f64]) ).

fof(f880,plain,
    ( sK2 = sum(pred(sum(n1,n12)),n6)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f879,f15]) ).

fof(f879,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),n6)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f878,f223]) ).

fof(f878,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,n11))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f877,f32]) ).

fof(f877,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(n12)))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f876,f63]) ).

fof(f876,plain,
    ( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(sum(n1,n11))))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f863,f438]) ).

fof(f863,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_28 ),
    inference(superposition,[],[f294,f559]) ).

fof(f862,plain,
    ( ~ spl3_2
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f861]) ).

fof(f861,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f860,f310]) ).

fof(f860,plain,
    ( n15 = sK2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f859,f216]) ).

fof(f859,plain,
    ( sum(n11,n4) = sK2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f858,f32]) ).

fof(f858,plain,
    ( sK2 = sum(pred(n12),n4)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f857,f63]) ).

fof(f857,plain,
    ( sK2 = sum(pred(sum(n1,n11)),n4)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f856,f14]) ).

fof(f856,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),n4)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f855,f206]) ).

fof(f855,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f854,f31]) ).

fof(f854,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n11)))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f833,f62]) ).

fof(f833,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(superposition,[],[f497,f555]) ).

fof(f853,plain,
    ( ~ spl3_2
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f852]) ).

fof(f852,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f851,f310]) ).

fof(f851,plain,
    ( n15 = sK2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f850,f216]) ).

fof(f850,plain,
    ( sum(n11,n4) = sK2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f849,f32]) ).

fof(f849,plain,
    ( sK2 = sum(pred(n12),n4)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f848,f63]) ).

fof(f848,plain,
    ( sK2 = sum(pred(sum(n1,n11)),n4)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f847,f14]) ).

fof(f847,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),n4)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f846,f206]) ).

fof(f846,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f845,f31]) ).

fof(f845,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n11)))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f844,f62]) ).

fof(f844,plain,
    ( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f832,f438]) ).

fof(f832,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_27 ),
    inference(superposition,[],[f294,f555]) ).

fof(f831,plain,
    ( ~ spl3_2
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f830]) ).

fof(f830,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f829,f307]) ).

fof(f829,plain,
    ( n12 = sK2
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f828,f198]) ).

fof(f828,plain,
    ( sum(n10,n2) = sK2
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f827,f31]) ).

fof(f827,plain,
    ( sK2 = sum(pred(n11),n2)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f826,f62]) ).

fof(f826,plain,
    ( sK2 = sum(pred(sum(n1,n10)),n2)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f825,f13]) ).

fof(f825,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),n2)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f824,f189]) ).

fof(f824,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f823,f30]) ).

fof(f823,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f803,f61]) ).

fof(f803,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(superposition,[],[f497,f551]) ).

fof(f822,plain,
    ( ~ spl3_2
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f820,f307]) ).

fof(f820,plain,
    ( n12 = sK2
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f819,f198]) ).

fof(f819,plain,
    ( sum(n10,n2) = sK2
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f818,f31]) ).

fof(f818,plain,
    ( sK2 = sum(pred(n11),n2)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f817,f62]) ).

fof(f817,plain,
    ( sK2 = sum(pred(sum(n1,n10)),n2)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f816,f13]) ).

fof(f816,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),n2)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f815,f189]) ).

fof(f815,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f814,f30]) ).

fof(f814,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f813,f61]) ).

fof(f813,plain,
    ( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f802,f438]) ).

fof(f802,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_26 ),
    inference(superposition,[],[f294,f551]) ).

fof(f801,plain,
    ( ~ spl3_2
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f799,f304]) ).

fof(f799,plain,
    ( n9 = sK2
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f798,f180]) ).

fof(f798,plain,
    ( sum(n9,n0) = sK2
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f797,f30]) ).

fof(f797,plain,
    ( sK2 = sum(pred(n10),n0)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f796,f61]) ).

fof(f796,plain,
    ( sK2 = sum(pred(sum(n1,n9)),n0)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f795,f12]) ).

fof(f795,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),n0)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f794,f172]) ).

fof(f794,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f793,f29]) ).

fof(f793,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f774,f60]) ).

fof(f774,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(superposition,[],[f497,f547]) ).

fof(f792,plain,
    ( ~ spl3_2
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f790,f304]) ).

fof(f790,plain,
    ( n9 = sK2
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f789,f180]) ).

fof(f789,plain,
    ( sum(n9,n0) = sK2
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f788,f30]) ).

fof(f788,plain,
    ( sK2 = sum(pred(n10),n0)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f787,f61]) ).

fof(f787,plain,
    ( sK2 = sum(pred(sum(n1,n9)),n0)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f786,f12]) ).

fof(f786,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),n0)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f785,f172]) ).

fof(f785,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f784,f29]) ).

fof(f784,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f783,f60]) ).

fof(f783,plain,
    ( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f773,f438]) ).

fof(f773,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_25 ),
    inference(superposition,[],[f294,f547]) ).

fof(f772,plain,
    ( ~ spl3_2
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

fof(f771,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f770,f301]) ).

fof(f770,plain,
    ( n6 = sK2
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f769,f178]) ).

fof(f769,plain,
    ( sum(n8,n14) = sK2
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f768,f29]) ).

fof(f768,plain,
    ( sK2 = sum(pred(n9),n14)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f767,f60]) ).

fof(f767,plain,
    ( sK2 = sum(pred(sum(n1,n8)),n14)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f766,f11]) ).

fof(f766,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),n14)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f765,f155]) ).

fof(f765,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f764,f28]) ).

fof(f764,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f746,f59]) ).

fof(f746,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(superposition,[],[f497,f543]) ).

fof(f763,plain,
    ( ~ spl3_2
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f762]) ).

fof(f762,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f761,f301]) ).

fof(f761,plain,
    ( n6 = sK2
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f760,f178]) ).

fof(f760,plain,
    ( sum(n8,n14) = sK2
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f759,f29]) ).

fof(f759,plain,
    ( sK2 = sum(pred(n9),n14)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f758,f60]) ).

fof(f758,plain,
    ( sK2 = sum(pred(sum(n1,n8)),n14)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f757,f11]) ).

fof(f757,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),n14)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f756,f155]) ).

fof(f756,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f755,f28]) ).

fof(f755,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f754,f59]) ).

fof(f754,plain,
    ( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f745,f438]) ).

fof(f745,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_24 ),
    inference(superposition,[],[f294,f543]) ).

fof(f744,plain,
    ( ~ spl3_2
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f743]) ).

fof(f743,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f742,f298]) ).

fof(f742,plain,
    ( n3 = sK2
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f741,f160]) ).

fof(f741,plain,
    ( sum(n7,n12) = sK2
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f740,f28]) ).

fof(f740,plain,
    ( sK2 = sum(pred(n8),n12)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f739,f59]) ).

fof(f739,plain,
    ( sK2 = sum(pred(sum(n1,n7)),n12)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f738,f10]) ).

fof(f738,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),n12)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f737,f138]) ).

fof(f737,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f736,f27]) ).

fof(f736,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f719,f58]) ).

fof(f719,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(superposition,[],[f497,f539]) ).

fof(f735,plain,
    ( ~ spl3_2
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f734]) ).

fof(f734,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f733,f298]) ).

fof(f733,plain,
    ( n3 = sK2
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f732,f160]) ).

fof(f732,plain,
    ( sum(n7,n12) = sK2
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f731,f28]) ).

fof(f731,plain,
    ( sK2 = sum(pred(n8),n12)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f730,f59]) ).

fof(f730,plain,
    ( sK2 = sum(pred(sum(n1,n7)),n12)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f729,f10]) ).

fof(f729,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),n12)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f728,f138]) ).

fof(f728,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f727,f27]) ).

fof(f727,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f726,f58]) ).

fof(f726,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f718,f438]) ).

fof(f718,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_23 ),
    inference(superposition,[],[f294,f539]) ).

fof(f717,plain,
    ( ~ spl3_2
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f715,f295]) ).

fof(f715,plain,
    ( n0 = sK2
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f714,f142]) ).

fof(f714,plain,
    ( sum(n6,n10) = sK2
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f713,f27]) ).

fof(f713,plain,
    ( sK2 = sum(pred(n7),n10)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f712,f58]) ).

fof(f712,plain,
    ( sK2 = sum(pred(sum(n1,n6)),n10)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f711,f9]) ).

fof(f711,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),n10)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f710,f121]) ).

fof(f710,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f709,f26]) ).

fof(f709,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f693,f57]) ).

fof(f693,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(superposition,[],[f497,f535]) ).

fof(f708,plain,
    ( ~ spl3_2
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f707]) ).

fof(f707,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f706,f295]) ).

fof(f706,plain,
    ( n0 = sK2
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f705,f142]) ).

fof(f705,plain,
    ( sum(n6,n10) = sK2
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f704,f27]) ).

fof(f704,plain,
    ( sK2 = sum(pred(n7),n10)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f703,f58]) ).

fof(f703,plain,
    ( sK2 = sum(pred(sum(n1,n6)),n10)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f702,f9]) ).

fof(f702,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),n10)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f701,f121]) ).

fof(f701,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f700,f26]) ).

fof(f700,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f699,f57]) ).

fof(f699,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f692,f438]) ).

fof(f692,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_22 ),
    inference(superposition,[],[f294,f535]) ).

fof(f691,plain,
    ( ~ spl3_2
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f690]) ).

fof(f690,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f689,f308]) ).

fof(f689,plain,
    ( n13 = sK2
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f688,f124]) ).

fof(f688,plain,
    ( sum(n5,n8) = sK2
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f687,f26]) ).

fof(f687,plain,
    ( sK2 = sum(pred(n6),n8)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f686,f57]) ).

fof(f686,plain,
    ( sK2 = sum(pred(sum(n1,n5)),n8)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f685,f8]) ).

fof(f685,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),n8)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f684,f104]) ).

fof(f684,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f683,f25]) ).

fof(f683,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f668,f56]) ).

fof(f668,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(superposition,[],[f497,f531]) ).

fof(f682,plain,
    ( ~ spl3_2
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f681]) ).

fof(f681,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f680,f308]) ).

fof(f680,plain,
    ( n13 = sK2
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f679,f124]) ).

fof(f679,plain,
    ( sum(n5,n8) = sK2
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f678,f26]) ).

fof(f678,plain,
    ( sK2 = sum(pred(n6),n8)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f677,f57]) ).

fof(f677,plain,
    ( sK2 = sum(pred(sum(n1,n5)),n8)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f676,f8]) ).

fof(f676,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),n8)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f675,f104]) ).

fof(f675,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f674,f25]) ).

fof(f674,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f673,f56]) ).

fof(f673,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f667,f438]) ).

fof(f667,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_21 ),
    inference(superposition,[],[f294,f531]) ).

fof(f666,plain,
    ( ~ spl3_2
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f665]) ).

fof(f665,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f664,f305]) ).

fof(f664,plain,
    ( n10 = sK2
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f663,f106]) ).

fof(f663,plain,
    ( sum(n4,n6) = sK2
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f662,f25]) ).

fof(f662,plain,
    ( sK2 = sum(pred(n5),n6)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f661,f56]) ).

fof(f661,plain,
    ( sK2 = sum(pred(sum(n1,n4)),n6)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f660,f7]) ).

fof(f660,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),n6)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f659,f87]) ).

fof(f659,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f658,f24]) ).

fof(f658,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f657,f55]) ).

fof(f657,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f647,f438]) ).

fof(f647,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_20 ),
    inference(superposition,[],[f294,f527]) ).

fof(f656,plain,
    ( ~ spl3_2
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f655]) ).

fof(f655,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f654,f305]) ).

fof(f654,plain,
    ( n10 = sK2
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f653,f106]) ).

fof(f653,plain,
    ( sum(n4,n6) = sK2
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f652,f25]) ).

fof(f652,plain,
    ( sK2 = sum(pred(n5),n6)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f651,f56]) ).

fof(f651,plain,
    ( sK2 = sum(pred(sum(n1,n4)),n6)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f650,f7]) ).

fof(f650,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),n6)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f649,f87]) ).

fof(f649,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f648,f24]) ).

fof(f648,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f646,f55]) ).

fof(f646,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(superposition,[],[f497,f527]) ).

fof(f642,plain,
    ( ~ spl3_2
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f640,f302]) ).

fof(f640,plain,
    ( n7 = sK2
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f639,f88]) ).

fof(f639,plain,
    ( sum(n3,n4) = sK2
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f638,f24]) ).

fof(f638,plain,
    ( sK2 = sum(pred(n4),n4)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f637,f55]) ).

fof(f637,plain,
    ( sK2 = sum(pred(sum(n1,n3)),n4)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f636,f6]) ).

fof(f636,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),n4)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f635,f70]) ).

fof(f635,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f634,f23]) ).

fof(f634,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f633,f54]) ).

fof(f633,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f623,f438]) ).

fof(f623,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_19 ),
    inference(superposition,[],[f294,f523]) ).

fof(f632,plain,
    ( ~ spl3_2
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f631]) ).

fof(f631,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f630,f302]) ).

fof(f630,plain,
    ( n7 = sK2
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f629,f88]) ).

fof(f629,plain,
    ( sum(n3,n4) = sK2
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f628,f24]) ).

fof(f628,plain,
    ( sK2 = sum(pred(n4),n4)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f627,f55]) ).

fof(f627,plain,
    ( sK2 = sum(pred(sum(n1,n3)),n4)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f626,f6]) ).

fof(f626,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),n4)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f625,f70]) ).

fof(f625,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f624,f23]) ).

fof(f624,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f622,f54]) ).

fof(f622,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(superposition,[],[f497,f523]) ).

fof(f619,plain,
    ( ~ spl3_2
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f618]) ).

fof(f618,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f617,f299]) ).

fof(f617,plain,
    ( n4 = sK2
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f616,f70]) ).

fof(f616,plain,
    ( sum(n2,n2) = sK2
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f615,f23]) ).

fof(f615,plain,
    ( sK2 = sum(pred(n3),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f614,f54]) ).

fof(f614,plain,
    ( sK2 = sum(pred(sum(n1,n2)),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f613,f5]) ).

fof(f613,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f612,f53]) ).

fof(f612,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f611,f22]) ).

fof(f611,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f610,f53]) ).

fof(f610,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f600,f438]) ).

fof(f600,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_18 ),
    inference(superposition,[],[f294,f519]) ).

fof(f609,plain,
    ( ~ spl3_2
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f608,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f607,f299]) ).

fof(f607,plain,
    ( n4 = sK2
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f606,f70]) ).

fof(f606,plain,
    ( sum(n2,n2) = sK2
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f605,f23]) ).

fof(f605,plain,
    ( sK2 = sum(pred(n3),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f604,f54]) ).

fof(f604,plain,
    ( sK2 = sum(pred(sum(n1,n2)),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f603,f5]) ).

fof(f603,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f602,f53]) ).

fof(f602,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f601,f22]) ).

fof(f601,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f599,f53]) ).

fof(f599,plain,
    ( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(superposition,[],[f497,f519]) ).

fof(f597,plain,
    ( ~ spl3_2
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f595,f296]) ).

fof(f595,plain,
    ( n1 = sK2
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f594,f52]) ).

fof(f594,plain,
    ( sum(n1,n0) = sK2
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f593,f22]) ).

fof(f593,plain,
    ( sK2 = sum(pred(n2),n0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f592,f53]) ).

fof(f592,plain,
    ( sK2 = sum(pred(sum(n1,n1)),n0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f591,f4]) ).

fof(f591,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),n0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f590,f36]) ).

fof(f590,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f589,f21]) ).

fof(f589,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f588,f52]) ).

fof(f588,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f578,f438]) ).

fof(f578,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
    | ~ spl3_17 ),
    inference(superposition,[],[f294,f515]) ).

fof(f587,plain,
    ( ~ spl3_2
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f586]) ).

fof(f586,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f585,f296]) ).

fof(f585,plain,
    ( n1 = sK2
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f584,f52]) ).

fof(f584,plain,
    ( sum(n1,n0) = sK2
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f583,f22]) ).

fof(f583,plain,
    ( sK2 = sum(pred(n2),n0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f582,f53]) ).

fof(f582,plain,
    ( sK2 = sum(pred(sum(n1,n1)),n0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f581,f4]) ).

fof(f581,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),n0)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f580,f36]) ).

fof(f580,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f579,f21]) ).

fof(f579,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f577,f52]) ).

fof(f577,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(superposition,[],[f497,f515]) ).

fof(f576,plain,
    ( spl3_17
    | spl3_18
    | spl3_19
    | spl3_20
    | spl3_21
    | spl3_22
    | spl3_23
    | spl3_24
    | spl3_25
    | spl3_26
    | spl3_27
    | spl3_28
    | spl3_29
    | spl3_30
    | spl3_31
    | spl3_32 ),
    inference(avatar_split_clause,[],[f293,f573,f569,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513]) ).

fof(f293,plain,
    ( n15 = sK1
    | n14 = sK1
    | n13 = sK1
    | n12 = sK1
    | n11 = sK1
    | n10 = sK1
    | n9 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1
    | n0 = sK1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f495,plain,
    ( spl3_1
    | spl3_2
    | spl3_3
    | spl3_4
    | spl3_5
    | spl3_6
    | spl3_7
    | spl3_8
    | spl3_9
    | spl3_10
    | spl3_11
    | spl3_12
    | spl3_13
    | spl3_14
    | spl3_15
    | spl3_16 ),
    inference(avatar_split_clause,[],[f292,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432]) ).

fof(f292,plain,
    ( n15 = sK0
    | n14 = sK0
    | n13 = sK0
    | n12 = sK0
    | n11 = sK0
    | n10 = sK0
    | n9 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0
    | n0 = sK0 ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 15:08:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (29591)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (29594)WARNING: value z3 for option sas not known
% 0.14/0.37  % (29595)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (29597)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (29593)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (29596)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (29598)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (29594)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (29592)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39  Detected minimum model sizes of [17]
% 0.14/0.39  Detected maximum model sizes of [max]
% 0.14/0.39  Detected minimum model sizes of [17]
% 0.14/0.39  Detected maximum model sizes of [max]
% 0.14/0.40  TRYING [17]
% 0.14/0.40  TRYING [17]
% 0.20/0.47  % (29594)First to succeed.
% 0.20/0.49  % (29594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29591"
% 0.20/0.49  % (29594)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (29594)------------------------------
% 0.20/0.51  % (29594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.51  % (29594)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (29594)Memory used [KB]: 2391
% 0.20/0.51  % (29594)Time elapsed: 0.124 s
% 0.20/0.51  % (29594)Instructions burned: 289 (million)
% 0.20/0.51  % (29591)Success in time 0.151 s
%------------------------------------------------------------------------------