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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 08:09:37 EDT 2024

% Result   : Unsatisfiable 1.57s 1.06s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   34
% Syntax   : Number of formulae    : 2872 ( 306 unt;   0 def)
%            Number of atoms       : 9496 (4212 equ)
%            Maximal formula atoms :  914 (   3 avg)
%            Number of connectives : 12147 (5523   ~;4887   |;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(f6954,plain,
    $false,
    inference(avatar_sat_refutation,[],[f495,f560,f571,f582,f593,f605,f618,f632,f647,f663,f680,f698,f717,f737,f758,f780,f803,f827,f853,f866,f879,f892,f907,f924,f941,f958,f978,f997,f1019,f1041,f1063,f1087,f1112,f1138,f1161,f1183,f1207,f1229,f1253,f1278,f1301,f1325,f1349,f1374,f1397,f1422,f1445,f1469,f1510,f1535,f1559,f1585,f1609,f1635,f1659,f1684,f1710,f1735,f1759,f1785,f1809,f1835,f1874,f1898,f1921,f1945,f1967,f1991,f2014,f2039,f2063,f2086,f2110,f2134,f2158,f2183,f2222,f2246,f2269,f2295,f2319,f2345,f2369,f2395,f2419,f2445,f2470,f2494,f2519,f2559,f2584,f2606,f2629,f2652,f2675,f2700,f2723,f2748,f2771,f2795,f2820,f2844,f2883,f2906,f2931,f2955,f2981,f3006,f3031,f3055,f3081,f3105,f3131,f3155,f3195,f3219,f3243,f3265,f3288,f3312,f3335,f3358,f3382,f3407,f3431,f3454,f3495,f3519,f3545,f3570,f3594,f3619,f3644,f3670,f3694,f3720,f3744,f3784,f3808,f3832,f3855,f3877,f3901,f3924,f3949,f3973,f3996,f4020,f4059,f4084,f4108,f4131,f4156,f4180,f4205,f4229,f4254,f4279,f4319,f4343,f4367,f4389,f4413,f4436,f4459,f4484,f4507,f4532,f4570,f4595,f4618,f4643,f4667,f4690,f4715,f4739,f4765,f4804,f4828,f4852,f4876,f4900,f4923,f4947,f4972,f4995,f5035,f5059,f5085,f5109,f5135,f5159,f5185,f5210,f5249,f5274,f5299,f5322,f5346,f5370,f5395,f5419,f5458,f5483,f5508,f5533,f5557,f5582,f5608,f5647,f5672,f5695,f5717,f5741,f5764,f5788,f5828,f5851,f5877,f5901,f5927,f5952,f5991,f6016,f6038,f6062,f6085,f6110,f6150,f6174,f6200,f6224,f6250,f6274,f6297,f6320,f6344,f6368,f6407,f6433,f6457,f6483,f6522,f6548,f6571,f6595,f6634,f6659,f6684,f6709,f6732,f6757,f6796,f6821,f6861,f6887,f6926,f6953]) ).

fof(f6953,plain,
    ( ~ spl3_6
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6952]) ).

fof(f6952,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6951,f299]) ).

fof(f299,plain,
    n4 != 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/tmp/tmp.IMhxExwhVW/Vampire---4.8_27164',try_satisfy_this) ).

fof(f6951,plain,
    ( n4 = sK2
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6950,f176]) ).

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

fof(f6950,plain,
    ( sum(n8,n12) = sK2
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6949,f29]) ).

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

fof(f6949,plain,
    ( sK2 = sum(pred(n9),n12)
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6948,f90]) ).

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

fof(f6948,plain,
    ( sK2 = sum(pred(sum(n3,n6)),n12)
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6947,f123]) ).

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

fof(f6947,plain,
    ( sK2 = sum(pred(sum(n3,n6)),sum(n5,n7))
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6946,f28]) ).

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

fof(f6946,plain,
    ( sK2 = sum(pred(sum(n3,n6)),sum(n5,pred(n8)))
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6945,f89]) ).

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

fof(f6945,plain,
    ( sK2 = sum(pred(sum(n3,n6)),sum(n5,pred(sum(n3,n5))))
    | ~ spl3_6
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f6929,f511]) ).

fof(f511,plain,
    ( n3 = sK0
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl3_20
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f6929,plain,
    ( sK2 = sum(pred(sum(sK0,n6)),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f6928,f9]) ).

fof(f9,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f3]) ).

fof(f6928,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f294,f454]) ).

fof(f454,plain,
    ( n5 = sK1
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl3_6
  <=> n5 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

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

fof(f6926,plain,
    ( ~ spl3_6
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f6925]) ).

fof(f6925,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f6924,f307]) ).

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

fof(f6924,plain,
    ( n12 = sK2
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6923,f108]) ).

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

fof(f6923,plain,
    ( sum(n4,n8) = sK2
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6922,f25]) ).

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

fof(f6922,plain,
    ( sK2 = sum(pred(n5),n8)
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6921,f282]) ).

fof(f282,plain,
    n5 = sum(n15,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6921,plain,
    ( sK2 = sum(pred(sum(n15,n6)),n8)
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6920,f9]) ).

fof(f6920,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),n8)
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6919,f119]) ).

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

fof(f6919,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,n3))
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6918,f24]) ).

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

fof(f6918,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,pred(n4)))
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6917,f281]) ).

fof(f281,plain,
    n4 = sum(n15,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6917,plain,
    ( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,pred(sum(n15,n5))))
    | ~ spl3_6
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f6888,f454]) ).

fof(f6888,plain,
    ( sK2 = sum(pred(sum(n15,succ(sK1))),sum(sK1,pred(sum(n15,sK1))))
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f294,f559]) ).

fof(f559,plain,
    ( n15 = sK0
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl3_32
  <=> n15 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f6887,plain,
    ( ~ spl3_3
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6886]) ).

fof(f6886,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6885,f306]) ).

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

fof(f6885,plain,
    ( n11 = sK2
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6884,f122]) ).

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

fof(f6884,plain,
    ( sum(n5,n6) = sK2
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6883,f26]) ).

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

fof(f6883,plain,
    ( sK2 = sum(pred(n6),n6)
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6882,f87]) ).

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

fof(f6882,plain,
    ( sK2 = sum(pred(sum(n3,n3)),n6)
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6881,f72]) ).

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

fof(f6881,plain,
    ( sK2 = sum(pred(sum(n3,n3)),sum(n2,n4))
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6880,f25]) ).

fof(f6880,plain,
    ( sK2 = sum(pred(sum(n3,n3)),sum(n2,pred(n5)))
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6879,f86]) ).

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

fof(f6879,plain,
    ( sK2 = sum(pred(sum(n3,n3)),sum(n2,pred(sum(n3,n2))))
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f6863,f511]) ).

fof(f6863,plain,
    ( sK2 = sum(pred(sum(sK0,n3)),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f6862,f6]) ).

fof(f6,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f3]) ).

fof(f6862,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f294,f442]) ).

fof(f442,plain,
    ( n2 = sK1
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl3_3
  <=> n2 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f6861,plain,
    ( ~ spl3_3
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f6860]) ).

fof(f6860,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f6859,f298]) ).

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

fof(f6859,plain,
    ( n3 = sK2
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6858,f54]) ).

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

fof(f6858,plain,
    ( sum(n1,n2) = sK2
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6857,f22]) ).

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

fof(f6857,plain,
    ( sK2 = sum(pred(n2),n2)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6856,f279]) ).

fof(f279,plain,
    n2 = sum(n15,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6856,plain,
    ( sK2 = sum(pred(sum(n15,n3)),n2)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6855,f6]) ).

fof(f6855,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),n2)
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6854,f68]) ).

fof(f68,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6854,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,n0))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6853,f21]) ).

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

fof(f6853,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,pred(n1)))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6852,f278]) ).

fof(f278,plain,
    n1 = sum(n15,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6852,plain,
    ( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,pred(sum(n15,n2))))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f6823,f442]) ).

fof(f6823,plain,
    ( sK2 = sum(pred(sum(n15,succ(sK1))),sum(sK1,pred(sum(n15,sK1))))
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f294,f559]) ).

fof(f6821,plain,
    ( ~ spl3_6
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6820]) ).

fof(f6820,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6819,f297]) ).

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

fof(f6819,plain,
    ( n2 = sK2
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6818,f279]) ).

fof(f6818,plain,
    ( sum(n15,n3) = sK2
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6817,f20]) ).

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

fof(f6817,plain,
    ( sK2 = sum(pred(n0),n3)
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6816,f202]) ).

fof(f202,plain,
    n0 = sum(n10,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6816,plain,
    ( sK2 = sum(pred(sum(n10,n6)),n3)
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6815,f9]) ).

fof(f6815,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),n3)
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6814,f130]) ).

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

fof(f6814,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,n14))
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6813,f35]) ).

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

fof(f6813,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(n15)))
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6812,f201]) ).

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

fof(f6812,plain,
    ( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5))))
    | ~ spl3_6
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f6758,f454]) ).

fof(f6758,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f294,f539]) ).

fof(f539,plain,
    ( n10 = sK0
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl3_27
  <=> n10 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f6796,plain,
    ( ~ spl3_3
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6795]) ).

fof(f6795,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6794,f304]) ).

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

fof(f6794,plain,
    ( n9 = sK2
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6793,f241]) ).

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

fof(f6793,plain,
    ( sum(n12,n13) = sK2
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6792,f33]) ).

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

fof(f6792,plain,
    ( sK2 = sum(pred(n13),n13)
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6791,f199]) ).

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

fof(f6791,plain,
    ( sK2 = sum(pred(sum(n10,n3)),n13)
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6790,f6]) ).

fof(f6790,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),n13)
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6789,f79]) ).

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

fof(f6789,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,n11))
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6788,f32]) ).

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

fof(f6788,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(n12)))
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6787,f198]) ).

fof(f198,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6787,plain,
    ( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2))))
    | ~ spl3_3
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f6758,f442]) ).

fof(f6757,plain,
    ( ~ spl3_1
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6756]) ).

fof(f6756,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6755,f300]) ).

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

fof(f6755,plain,
    ( n5 = sK2
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6754,f86]) ).

fof(f6754,plain,
    ( sum(n3,n2) = sK2
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6753,f24]) ).

fof(f6753,plain,
    ( sK2 = sum(pred(n4),n2)
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6752,f85]) ).

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

fof(f6752,plain,
    ( sK2 = sum(pred(sum(n3,n1)),n2)
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6751,f38]) ).

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

fof(f6751,plain,
    ( sK2 = sum(pred(sum(n3,n1)),sum(n0,n2))
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6750,f23]) ).

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

fof(f6750,plain,
    ( sK2 = sum(pred(sum(n3,n1)),sum(n0,pred(n3)))
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6749,f84]) ).

fof(f84,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6749,plain,
    ( sK2 = sum(pred(sum(n3,n1)),sum(n0,pred(sum(n3,n0))))
    | ~ spl3_1
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f6686,f511]) ).

fof(f6686,plain,
    ( sK2 = sum(pred(sum(sK0,n1)),sum(n0,pred(sum(sK0,n0))))
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f6685,f4]) ).

fof(f4,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f3]) ).

fof(f6685,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f294,f434]) ).

fof(f434,plain,
    ( n0 = sK1
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f432,plain,
    ( spl3_1
  <=> n0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f6732,plain,
    ( ~ spl3_1
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f6731]) ).

fof(f6731,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f6730,f308]) ).

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

fof(f6730,plain,
    ( n13 = sK2
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6729,f290]) ).

fof(f290,plain,
    n13 = sum(n15,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f6729,plain,
    ( sum(n15,n14) = sK2
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6728,f20]) ).

fof(f6728,plain,
    ( sK2 = sum(pred(n0),n14)
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6727,f277]) ).

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

fof(f6727,plain,
    ( sK2 = sum(pred(sum(n15,n1)),n14)
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6726,f50]) ).

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

fof(f6726,plain,
    ( sK2 = sum(pred(sum(n15,n1)),sum(n0,n14))
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6725,f35]) ).

fof(f6725,plain,
    ( sK2 = sum(pred(sum(n15,n1)),sum(n0,pred(n15)))
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6724,f276]) ).

fof(f276,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6724,plain,
    ( sK2 = sum(pred(sum(n15,n1)),sum(n0,pred(sum(n15,n0))))
    | ~ spl3_1
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f6686,f559]) ).

fof(f6709,plain,
    ( ~ spl3_1
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6708]) ).

fof(f6708,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6707,f298]) ).

fof(f6707,plain,
    ( n3 = sK2
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6706,f205]) ).

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

fof(f6706,plain,
    ( sum(n10,n9) = sK2
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6705,f31]) ).

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

fof(f6705,plain,
    ( sK2 = sum(pred(n11),n9)
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6704,f197]) ).

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

fof(f6704,plain,
    ( sK2 = sum(pred(sum(n10,n1)),n9)
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6703,f45]) ).

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

fof(f6703,plain,
    ( sK2 = sum(pred(sum(n10,n1)),sum(n0,n9))
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6702,f30]) ).

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

fof(f6702,plain,
    ( sK2 = sum(pred(sum(n10,n1)),sum(n0,pred(n10)))
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6701,f196]) ).

fof(f196,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6701,plain,
    ( sK2 = sum(pred(sum(n10,n1)),sum(n0,pred(sum(n10,n0))))
    | ~ spl3_1
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f6686,f539]) ).

fof(f6684,plain,
    ( ~ spl3_1
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6683]) ).

fof(f6683,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6682,f302]) ).

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

fof(f6682,plain,
    ( n7 = sK2
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6681,f239]) ).

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

fof(f6681,plain,
    ( sum(n12,n11) = sK2
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6680,f33]) ).

fof(f6680,plain,
    ( sK2 = sum(pred(n13),n11)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6679,f229]) ).

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

fof(f6679,plain,
    ( sK2 = sum(pred(sum(n12,n1)),n11)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6678,f4]) ).

fof(f6678,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),n11)
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6677,f47]) ).

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

fof(f6677,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,n11))
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6676,f32]) ).

fof(f6676,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(n12)))
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6675,f228]) ).

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

fof(f6675,plain,
    ( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(sum(n12,n0))))
    | ~ spl3_1
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f6597,f434]) ).

fof(f6597,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f294,f547]) ).

fof(f547,plain,
    ( n12 = sK0
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl3_29
  <=> n12 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f6659,plain,
    ( ~ spl3_3
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6658]) ).

fof(f6658,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6657,f308]) ).

fof(f6657,plain,
    ( n13 = sK2
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6656,f275]) ).

fof(f275,plain,
    n13 = sum(n14,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f6656,plain,
    ( sum(n14,n15) = sK2
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6655,f35]) ).

fof(f6655,plain,
    ( sK2 = sum(pred(n15),n15)
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6654,f231]) ).

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

fof(f6654,plain,
    ( sK2 = sum(pred(sum(n12,n3)),n15)
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6653,f6]) ).

fof(f6653,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),n15)
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6652,f81]) ).

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

fof(f6652,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,n13))
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6651,f34]) ).

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

fof(f6651,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,pred(n14)))
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6650,f230]) ).

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

fof(f6650,plain,
    ( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,pred(sum(n12,n2))))
    | ~ spl3_3
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f6597,f442]) ).

fof(f6634,plain,
    ( ~ spl3_6
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6633]) ).

fof(f6633,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6632,f301]) ).

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

fof(f6632,plain,
    ( n6 = sK2
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6631,f57]) ).

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

fof(f6631,plain,
    ( sum(n1,n5) = sK2
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6630,f22]) ).

fof(f6630,plain,
    ( sK2 = sum(pred(n2),n5)
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6629,f234]) ).

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

fof(f6629,plain,
    ( sK2 = sum(pred(sum(n12,n6)),n5)
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6628,f9]) ).

fof(f6628,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),n5)
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6627,f116]) ).

fof(f116,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6627,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,n0))
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6626,f21]) ).

fof(f6626,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,pred(n1)))
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6625,f233]) ).

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

fof(f6625,plain,
    ( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,pred(sum(n12,n5))))
    | ~ spl3_6
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f6597,f454]) ).

fof(f6595,plain,
    ( ~ spl3_5
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f6594]) ).

fof(f6594,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f6593,f304]) ).

fof(f6593,plain,
    ( n9 = sK2
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6592,f90]) ).

fof(f6592,plain,
    ( sum(n3,n6) = sK2
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6591,f24]) ).

fof(f6591,plain,
    ( sK2 = sum(pred(n4),n6)
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6590,f281]) ).

fof(f6590,plain,
    ( sK2 = sum(pred(sum(n15,n5)),n6)
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6589,f102]) ).

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

fof(f6589,plain,
    ( sK2 = sum(pred(sum(n15,n5)),sum(n4,n2))
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6588,f23]) ).

fof(f6588,plain,
    ( sK2 = sum(pred(sum(n15,n5)),sum(n4,pred(n3)))
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6587,f280]) ).

fof(f280,plain,
    n3 = sum(n15,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6587,plain,
    ( sK2 = sum(pred(sum(n15,n5)),sum(n4,pred(sum(n15,n4))))
    | ~ spl3_5
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f6524,f559]) ).

fof(f6524,plain,
    ( sK2 = sum(pred(sum(sK0,n5)),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f6523,f8]) ).

fof(f8,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f6523,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f294,f450]) ).

fof(f450,plain,
    ( n4 = sK1
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl3_5
  <=> n4 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f6571,plain,
    ( ~ spl3_5
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6570]) ).

fof(f6570,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6569,f310]) ).

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

fof(f6569,plain,
    ( n15 = sK2
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6568,f261]) ).

fof(f261,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6568,plain,
    ( sum(n14,n1) = sK2
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6567,f35]) ).

fof(f6567,plain,
    ( sK2 = sum(pred(n15),n1)
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6566,f201]) ).

fof(f6566,plain,
    ( sK2 = sum(pred(sum(n10,n5)),n1)
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6565,f113]) ).

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

fof(f6565,plain,
    ( sK2 = sum(pred(sum(n10,n5)),sum(n4,n13))
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6564,f34]) ).

fof(f6564,plain,
    ( sK2 = sum(pred(sum(n10,n5)),sum(n4,pred(n14)))
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6563,f200]) ).

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

fof(f6563,plain,
    ( sK2 = sum(pred(sum(n10,n5)),sum(n4,pred(sum(n10,n4))))
    | ~ spl3_5
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f6524,f539]) ).

fof(f6548,plain,
    ( ~ spl3_5
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6547]) ).

fof(f6547,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6546,f296]) ).

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

fof(f6546,plain,
    ( n1 = sK2
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6545,f158]) ).

fof(f158,plain,
    n1 = sum(n7,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f6545,plain,
    ( sum(n7,n10) = sK2
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6544,f28]) ).

fof(f6544,plain,
    ( sK2 = sum(pred(n8),n10)
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6543,f89]) ).

fof(f6543,plain,
    ( sK2 = sum(pred(sum(n3,n5)),n10)
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6542,f106]) ).

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

fof(f6542,plain,
    ( sK2 = sum(pred(sum(n3,n5)),sum(n4,n6))
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6541,f27]) ).

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

fof(f6541,plain,
    ( sK2 = sum(pred(sum(n3,n5)),sum(n4,pred(n7)))
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6540,f88]) ).

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

fof(f6540,plain,
    ( sK2 = sum(pred(sum(n3,n5)),sum(n4,pred(sum(n3,n4))))
    | ~ spl3_5
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f6524,f511]) ).

fof(f6522,plain,
    ( ~ spl3_5
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6521]) ).

fof(f6521,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6520,f298]) ).

fof(f6520,plain,
    ( n3 = sK2
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6519,f39]) ).

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

fof(f6519,plain,
    ( sum(n0,n3) = sK2
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6518,f21]) ).

fof(f6518,plain,
    ( sK2 = sum(pred(n1),n3)
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6517,f233]) ).

fof(f6517,plain,
    ( sK2 = sum(pred(sum(n12,n5)),n3)
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6516,f8]) ).

fof(f6516,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),n3)
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6515,f115]) ).

fof(f115,plain,
    n3 = sum(n4,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f6515,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,n15))
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6514,f20]) ).

fof(f6514,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,pred(n0)))
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6513,f232]) ).

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

fof(f6513,plain,
    ( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,pred(sum(n12,n4))))
    | ~ spl3_5
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f6484,f450]) ).

fof(f6484,plain,
    ( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f294,f547]) ).

fof(f6483,plain,
    ( ~ spl3_1
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6482]) ).

fof(f6482,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6481,f310]) ).

fof(f6481,plain,
    ( n15 = sK2
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6480,f171]) ).

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

fof(f6480,plain,
    ( sum(n8,n7) = sK2
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6479,f29]) ).

fof(f6479,plain,
    ( sK2 = sum(pred(n9),n7)
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6478,f165]) ).

fof(f165,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f6478,plain,
    ( sK2 = sum(pred(sum(n8,n1)),n7)
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6477,f4]) ).

fof(f6477,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),n7)
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6476,f43]) ).

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

fof(f6476,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6475,f28]) ).

fof(f6475,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8)))
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6474,f164]) ).

fof(f164,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f6474,plain,
    ( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0))))
    | ~ spl3_1
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f6369,f434]) ).

fof(f6369,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f294,f531]) ).

fof(f531,plain,
    ( n8 = sK0
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl3_25
  <=> n8 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f6457,plain,
    ( ~ spl3_5
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6456]) ).

fof(f6456,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6455,f306]) ).

fof(f6455,plain,
    ( n11 = sK2
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6454,f243]) ).

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

fof(f6454,plain,
    ( sum(n12,n15) = sK2
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6453,f33]) ).

fof(f6453,plain,
    ( sK2 = sum(pred(n13),n15)
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6452,f169]) ).

fof(f169,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6452,plain,
    ( sK2 = sum(pred(sum(n8,n5)),n15)
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6451,f8]) ).

fof(f6451,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),n15)
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6450,f111]) ).

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

fof(f6450,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,n11))
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6449,f32]) ).

fof(f6449,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(n12)))
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6448,f168]) ).

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

fof(f6448,plain,
    ( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4))))
    | ~ spl3_5
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f6369,f450]) ).

fof(f6433,plain,
    ( ~ spl3_3
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6432]) ).

fof(f6432,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6431,f300]) ).

fof(f6431,plain,
    ( n5 = sK2
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6430,f207]) ).

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

fof(f6430,plain,
    ( sum(n10,n11) = sK2
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6429,f31]) ).

fof(f6429,plain,
    ( sK2 = sum(pred(n11),n11)
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6428,f167]) ).

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

fof(f6428,plain,
    ( sK2 = sum(pred(sum(n8,n3)),n11)
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6427,f6]) ).

fof(f6427,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),n11)
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6426,f77]) ).

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

fof(f6426,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,n9))
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6425,f30]) ).

fof(f6425,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10)))
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6424,f166]) ).

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

fof(f6424,plain,
    ( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2))))
    | ~ spl3_3
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f6369,f442]) ).

fof(f6407,plain,
    ( ~ spl3_6
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6406]) ).

fof(f6406,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6405,f309]) ).

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

fof(f6405,plain,
    ( n14 = sK2
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6404,f245]) ).

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

fof(f6404,plain,
    ( sum(n13,n1) = sK2
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6403,f34]) ).

fof(f6403,plain,
    ( sK2 = sum(pred(n14),n1)
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6402,f170]) ).

fof(f170,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f6402,plain,
    ( sK2 = sum(pred(sum(n8,n6)),n1)
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6401,f9]) ).

fof(f6401,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),n1)
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6400,f128]) ).

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

fof(f6400,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,n12))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6399,f33]) ).

fof(f6399,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(n13)))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6398,f169]) ).

fof(f6398,plain,
    ( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5))))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f6369,f454]) ).

fof(f6368,plain,
    ( ~ spl3_4
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6367]) ).

fof(f6367,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6366,f309]) ).

fof(f6366,plain,
    ( n14 = sK2
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6365,f140]) ).

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

fof(f6365,plain,
    ( sum(n6,n8) = sK2
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6364,f27]) ).

fof(f6364,plain,
    ( sK2 = sum(pred(n7),n8)
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6363,f88]) ).

fof(f6363,plain,
    ( sK2 = sum(pred(sum(n3,n4)),n8)
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6362,f89]) ).

fof(f6362,plain,
    ( sK2 = sum(pred(sum(n3,n4)),sum(n3,n5))
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6361,f26]) ).

fof(f6361,plain,
    ( sK2 = sum(pred(sum(n3,n4)),sum(n3,pred(n6)))
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6360,f87]) ).

fof(f6360,plain,
    ( sK2 = sum(pred(sum(n3,n4)),sum(n3,pred(sum(n3,n3))))
    | ~ spl3_4
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f6252,f511]) ).

fof(f6252,plain,
    ( sK2 = sum(pred(sum(sK0,n4)),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f6251,f7]) ).

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

fof(f6251,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f294,f446]) ).

fof(f446,plain,
    ( n3 = sK1
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl3_4
  <=> n3 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f6344,plain,
    ( ~ spl3_4
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6343]) ).

fof(f6343,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6342,f303]) ).

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

fof(f6342,plain,
    ( n8 = sK2
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6341,f225]) ).

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

fof(f6341,plain,
    ( sum(n11,n13) = sK2
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6340,f32]) ).

fof(f6340,plain,
    ( sK2 = sum(pred(n12),n13)
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6339,f168]) ).

fof(f6339,plain,
    ( sK2 = sum(pred(sum(n8,n4)),n13)
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6338,f94]) ).

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

fof(f6338,plain,
    ( sK2 = sum(pred(sum(n8,n4)),sum(n3,n10))
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6337,f31]) ).

fof(f6337,plain,
    ( sK2 = sum(pred(sum(n8,n4)),sum(n3,pred(n11)))
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6336,f167]) ).

fof(f6336,plain,
    ( sK2 = sum(pred(sum(n8,n4)),sum(n3,pred(sum(n8,n3))))
    | ~ spl3_4
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f6252,f531]) ).

fof(f6320,plain,
    ( ~ spl3_4
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f6319]) ).

fof(f6319,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f6318,f301]) ).

fof(f6318,plain,
    ( n6 = sK2
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6317,f72]) ).

fof(f6317,plain,
    ( sum(n2,n4) = sK2
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6316,f23]) ).

fof(f6316,plain,
    ( sK2 = sum(pred(n3),n4)
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6315,f280]) ).

fof(f6315,plain,
    ( sK2 = sum(pred(sum(n15,n4)),n4)
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6314,f85]) ).

fof(f6314,plain,
    ( sK2 = sum(pred(sum(n15,n4)),sum(n3,n1))
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6313,f22]) ).

fof(f6313,plain,
    ( sK2 = sum(pred(sum(n15,n4)),sum(n3,pred(n2)))
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6312,f279]) ).

fof(f6312,plain,
    ( sK2 = sum(pred(sum(n15,n4)),sum(n3,pred(sum(n15,n3))))
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f6252,f559]) ).

fof(f6297,plain,
    ( ~ spl3_4
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6296]) ).

fof(f6296,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6295,f295]) ).

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

fof(f6295,plain,
    ( n0 = sK2
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6294,f277]) ).

fof(f6294,plain,
    ( sum(n15,n1) = sK2
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6293,f20]) ).

fof(f6293,plain,
    ( sK2 = sum(pred(n0),n1)
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6292,f232]) ).

fof(f6292,plain,
    ( sK2 = sum(pred(sum(n12,n4)),n1)
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6291,f98]) ).

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

fof(f6291,plain,
    ( sK2 = sum(pred(sum(n12,n4)),sum(n3,n14))
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6290,f35]) ).

fof(f6290,plain,
    ( sK2 = sum(pred(sum(n12,n4)),sum(n3,pred(n15)))
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6289,f231]) ).

fof(f6289,plain,
    ( sK2 = sum(pred(sum(n12,n4)),sum(n3,pred(sum(n12,n3))))
    | ~ spl3_4
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f6252,f547]) ).

fof(f6274,plain,
    ( ~ spl3_4
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f6273]) ).

fof(f6273,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f6272,f307]) ).

fof(f6272,plain,
    ( n12 = sK2
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6271,f259]) ).

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

fof(f6271,plain,
    ( sum(n13,n15) = sK2
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6270,f34]) ).

fof(f6270,plain,
    ( sK2 = sum(pred(n14),n15)
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6269,f200]) ).

fof(f6269,plain,
    ( sK2 = sum(pred(sum(n10,n4)),n15)
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6268,f96]) ).

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

fof(f6268,plain,
    ( sK2 = sum(pred(sum(n10,n4)),sum(n3,n12))
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6267,f33]) ).

fof(f6267,plain,
    ( sK2 = sum(pred(sum(n10,n4)),sum(n3,pred(n13)))
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f6266,f199]) ).

fof(f6266,plain,
    ( sK2 = sum(pred(sum(n10,n4)),sum(n3,pred(sum(n10,n3))))
    | ~ spl3_4
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f6252,f539]) ).

fof(f6250,plain,
    ( ~ spl3_4
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6249]) ).

fof(f6249,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6248,f299]) ).

fof(f6248,plain,
    ( n4 = sK2
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6247,f191]) ).

fof(f191,plain,
    n4 = sum(n9,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f6247,plain,
    ( sum(n9,n11) = sK2
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6246,f30]) ).

fof(f6246,plain,
    ( sK2 = sum(pred(n10),n11)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6245,f136]) ).

fof(f136,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f6245,plain,
    ( sK2 = sum(pred(sum(n6,n4)),n11)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6244,f7]) ).

fof(f6244,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),n11)
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6243,f92]) ).

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

fof(f6243,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,n8))
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6242,f29]) ).

fof(f6242,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9)))
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6241,f135]) ).

fof(f135,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6241,plain,
    ( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3))))
    | ~ spl3_4
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f6111,f446]) ).

fof(f6111,plain,
    ( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f294,f523]) ).

fof(f523,plain,
    ( n6 = sK0
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl3_23
  <=> n6 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f6224,plain,
    ( ~ spl3_5
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6223]) ).

fof(f6223,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6222,f302]) ).

fof(f6222,plain,
    ( n7 = sK2
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6221,f209]) ).

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

fof(f6221,plain,
    ( sum(n10,n13) = sK2
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6220,f31]) ).

fof(f6220,plain,
    ( sK2 = sum(pred(n11),n13)
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6219,f137]) ).

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

fof(f6219,plain,
    ( sK2 = sum(pred(sum(n6,n5)),n13)
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6218,f8]) ).

fof(f6218,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),n13)
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6217,f109]) ).

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

fof(f6217,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,n9))
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6216,f30]) ).

fof(f6216,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6215,f136]) ).

fof(f6215,plain,
    ( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4))))
    | ~ spl3_5
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f6111,f450]) ).

fof(f6200,plain,
    ( ~ spl3_1
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6199]) ).

fof(f6199,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6198,f306]) ).

fof(f6198,plain,
    ( n11 = sK2
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6197,f137]) ).

fof(f6197,plain,
    ( sum(n6,n5) = sK2
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6196,f27]) ).

fof(f6196,plain,
    ( sK2 = sum(pred(n7),n5)
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6195,f133]) ).

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

fof(f6195,plain,
    ( sK2 = sum(pred(sum(n6,n1)),n5)
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6194,f4]) ).

fof(f6194,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),n5)
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6193,f41]) ).

fof(f41,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f6193,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,n5))
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6192,f26]) ).

fof(f6192,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6)))
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6191,f132]) ).

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

fof(f6191,plain,
    ( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0))))
    | ~ spl3_1
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f6111,f434]) ).

fof(f6174,plain,
    ( ~ spl3_6
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6173]) ).

fof(f6173,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6172,f305]) ).

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

fof(f6172,plain,
    ( n10 = sK2
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6171,f227]) ).

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

fof(f6171,plain,
    ( sum(n11,n15) = sK2
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6170,f32]) ).

fof(f6170,plain,
    ( sK2 = sum(pred(n12),n15)
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6169,f138]) ).

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

fof(f6169,plain,
    ( sK2 = sum(pred(sum(n6,n6)),n15)
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6168,f9]) ).

fof(f6168,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),n15)
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6167,f126]) ).

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

fof(f6167,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6166,f31]) ).

fof(f6166,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(n11)))
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6165,f137]) ).

fof(f6165,plain,
    ( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5))))
    | ~ spl3_6
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f6111,f454]) ).

fof(f6150,plain,
    ( ~ spl3_3
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6149]) ).

fof(f6149,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6148,f296]) ).

fof(f6148,plain,
    ( n1 = sK2
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6147,f173]) ).

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

fof(f6147,plain,
    ( sum(n8,n9) = sK2
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6146,f29]) ).

fof(f6146,plain,
    ( sK2 = sum(pred(n9),n9)
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6145,f135]) ).

fof(f6145,plain,
    ( sK2 = sum(pred(sum(n6,n3)),n9)
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6144,f6]) ).

fof(f6144,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),n9)
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6143,f75]) ).

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

fof(f6143,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,n7))
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6142,f28]) ).

fof(f6142,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(n8)))
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6141,f134]) ).

fof(f134,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f6141,plain,
    ( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(sum(n6,n2))))
    | ~ spl3_3
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f6111,f442]) ).

fof(f6110,plain,
    ( ~ spl3_7
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f6109]) ).

fof(f6109,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f6108,f302]) ).

fof(f6108,plain,
    ( n7 = sK2
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6107,f194]) ).

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

fof(f6107,plain,
    ( sum(n9,n14) = sK2
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6106,f30]) ).

fof(f6106,plain,
    ( sK2 = sum(pred(n10),n14)
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6105,f91]) ).

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

fof(f6105,plain,
    ( sK2 = sum(pred(sum(n3,n7)),n14)
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6104,f140]) ).

fof(f6104,plain,
    ( sK2 = sum(pred(sum(n3,n7)),sum(n6,n8))
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6103,f29]) ).

fof(f6103,plain,
    ( sK2 = sum(pred(sum(n3,n7)),sum(n6,pred(n9)))
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f6102,f90]) ).

fof(f6102,plain,
    ( sK2 = sum(pred(sum(n3,n7)),sum(n6,pred(sum(n3,n6))))
    | ~ spl3_7
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f5993,f511]) ).

fof(f5993,plain,
    ( sK2 = sum(pred(sum(sK0,n7)),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f5992,f10]) ).

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

fof(f5992,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f294,f458]) ).

fof(f458,plain,
    ( n6 = sK1
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl3_7
  <=> n6 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f6085,plain,
    ( ~ spl3_7
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f6084]) ).

fof(f6084,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f6083,f304]) ).

fof(f6083,plain,
    ( n9 = sK2
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6082,f75]) ).

fof(f6082,plain,
    ( sum(n2,n7) = sK2
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6081,f23]) ).

fof(f6081,plain,
    ( sK2 = sum(pred(n3),n7)
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6080,f235]) ).

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

fof(f6080,plain,
    ( sK2 = sum(pred(sum(n12,n7)),n7)
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6079,f133]) ).

fof(f6079,plain,
    ( sK2 = sum(pred(sum(n12,n7)),sum(n6,n1))
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6078,f22]) ).

fof(f6078,plain,
    ( sK2 = sum(pred(sum(n12,n7)),sum(n6,pred(n2)))
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f6077,f234]) ).

fof(f6077,plain,
    ( sK2 = sum(pred(sum(n12,n7)),sum(n6,pred(sum(n12,n6))))
    | ~ spl3_7
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f5993,f547]) ).

fof(f6062,plain,
    ( ~ spl3_7
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f6061]) ).

fof(f6061,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f6060,f296]) ).

fof(f6060,plain,
    ( n1 = sK2
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6059,f263]) ).

fof(f263,plain,
    n1 = sum(n14,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f6059,plain,
    ( sum(n14,n3) = sK2
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6058,f35]) ).

fof(f6058,plain,
    ( sK2 = sum(pred(n15),n3)
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6057,f171]) ).

fof(f6057,plain,
    ( sK2 = sum(pred(sum(n8,n7)),n3)
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6056,f145]) ).

fof(f145,plain,
    n3 = sum(n6,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f6056,plain,
    ( sK2 = sum(pred(sum(n8,n7)),sum(n6,n13))
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6055,f34]) ).

fof(f6055,plain,
    ( sK2 = sum(pred(sum(n8,n7)),sum(n6,pred(n14)))
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f6054,f170]) ).

fof(f6054,plain,
    ( sK2 = sum(pred(sum(n8,n7)),sum(n6,pred(sum(n8,n6))))
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f5993,f531]) ).

fof(f6038,plain,
    ( ~ spl3_7
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f6037]) ).

fof(f6037,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f6036,f310]) ).

fof(f6036,plain,
    ( n15 = sK2
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6035,f126]) ).

fof(f6035,plain,
    ( sum(n5,n10) = sK2
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6034,f26]) ).

fof(f6034,plain,
    ( sK2 = sum(pred(n6),n10)
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6033,f283]) ).

fof(f283,plain,
    n6 = sum(n15,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f6033,plain,
    ( sK2 = sum(pred(sum(n15,n7)),n10)
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6032,f136]) ).

fof(f6032,plain,
    ( sK2 = sum(pred(sum(n15,n7)),sum(n6,n4))
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6031,f25]) ).

fof(f6031,plain,
    ( sK2 = sum(pred(sum(n15,n7)),sum(n6,pred(n5)))
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f6030,f282]) ).

fof(f6030,plain,
    ( sK2 = sum(pred(sum(n15,n7)),sum(n6,pred(sum(n15,n6))))
    | ~ spl3_7
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f5993,f559]) ).

fof(f6016,plain,
    ( ~ spl3_7
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f6015]) ).

fof(f6015,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f6014,f308]) ).

fof(f6014,plain,
    ( n13 = sK2
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6013,f229]) ).

fof(f6013,plain,
    ( sum(n12,n1) = sK2
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6012,f33]) ).

fof(f6012,plain,
    ( sK2 = sum(pred(n13),n1)
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6011,f139]) ).

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

fof(f6011,plain,
    ( sK2 = sum(pred(sum(n6,n7)),n1)
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6010,f143]) ).

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

fof(f6010,plain,
    ( sK2 = sum(pred(sum(n6,n7)),sum(n6,n11))
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6009,f32]) ).

fof(f6009,plain,
    ( sK2 = sum(pred(sum(n6,n7)),sum(n6,pred(n12)))
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f6008,f138]) ).

fof(f6008,plain,
    ( sK2 = sum(pred(sum(n6,n7)),sum(n6,pred(sum(n6,n6))))
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f5993,f523]) ).

fof(f5991,plain,
    ( ~ spl3_7
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f5990]) ).

fof(f5990,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f5989,f300]) ).

fof(f5989,plain,
    ( n5 = sK2
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5988,f41]) ).

fof(f5988,plain,
    ( sum(n0,n5) = sK2
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5987,f21]) ).

fof(f5987,plain,
    ( sK2 = sum(pred(n1),n5)
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5986,f203]) ).

fof(f203,plain,
    n1 = sum(n10,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f5986,plain,
    ( sK2 = sum(pred(sum(n10,n7)),n5)
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5985,f10]) ).

fof(f5985,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),n5)
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5984,f147]) ).

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

fof(f5984,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,n15))
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5983,f20]) ).

fof(f5983,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(n0)))
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5982,f202]) ).

fof(f5982,plain,
    ( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6))))
    | ~ spl3_7
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f5953,f458]) ).

fof(f5953,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f294,f539]) ).

fof(f5952,plain,
    ( ~ spl3_3
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5951]) ).

fof(f5951,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5950,f302]) ).

fof(f5950,plain,
    ( n7 = sK2
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5949,f88]) ).

fof(f5949,plain,
    ( sum(n3,n4) = sK2
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5948,f24]) ).

fof(f5948,plain,
    ( sK2 = sum(pred(n4),n4)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5947,f55]) ).

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

fof(f5947,plain,
    ( sK2 = sum(pred(sum(n1,n3)),n4)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5946,f6]) ).

fof(f5946,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),n4)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5945,f70]) ).

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

fof(f5945,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5944,f23]) ).

fof(f5944,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5943,f54]) ).

fof(f5943,plain,
    ( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5790,f442]) ).

fof(f5790,plain,
    ( sK2 = sum(pred(sum(n1,succ(sK1))),sum(sK1,pred(sum(n1,sK1))))
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f294,f503]) ).

fof(f503,plain,
    ( n1 = sK0
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl3_18
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f5927,plain,
    ( ~ spl3_5
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5926]) ).

fof(f5926,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5925,f308]) ).

fof(f5925,plain,
    ( n13 = sK2
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5924,f124]) ).

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

fof(f5924,plain,
    ( sum(n5,n8) = sK2
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5923,f26]) ).

fof(f5923,plain,
    ( sK2 = sum(pred(n6),n8)
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5922,f57]) ).

fof(f5922,plain,
    ( sK2 = sum(pred(sum(n1,n5)),n8)
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5921,f8]) ).

fof(f5921,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),n8)
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5920,f104]) ).

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

fof(f5920,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5919,f25]) ).

fof(f5919,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5918,f56]) ).

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

fof(f5918,plain,
    ( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
    | ~ spl3_5
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5790,f450]) ).

fof(f5901,plain,
    ( ~ spl3_7
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5900]) ).

fof(f5900,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5899,f298]) ).

fof(f5899,plain,
    ( n3 = sK2
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5898,f160]) ).

fof(f160,plain,
    n3 = sum(n7,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5898,plain,
    ( sum(n7,n12) = sK2
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5897,f28]) ).

fof(f5897,plain,
    ( sK2 = sum(pred(n8),n12)
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5896,f59]) ).

fof(f59,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f5896,plain,
    ( sK2 = sum(pred(sum(n1,n7)),n12)
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5895,f10]) ).

fof(f5895,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),n12)
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5894,f138]) ).

fof(f5894,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5893,f27]) ).

fof(f5893,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5892,f58]) ).

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

fof(f5892,plain,
    ( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5790,f458]) ).

fof(f5877,plain,
    ( ~ spl3_1
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5876]) ).

fof(f5876,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5875,f296]) ).

fof(f5875,plain,
    ( n1 = sK2
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5874,f52]) ).

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

fof(f5874,plain,
    ( sum(n1,n0) = sK2
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5873,f22]) ).

fof(f5873,plain,
    ( sK2 = sum(pred(n2),n0)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5872,f53]) ).

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

fof(f5872,plain,
    ( sK2 = sum(pred(sum(n1,n1)),n0)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5871,f4]) ).

fof(f5871,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),n0)
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5870,f36]) ).

fof(f36,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5870,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5869,f21]) ).

fof(f5869,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5868,f52]) ).

fof(f5868,plain,
    ( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
    | ~ spl3_1
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5790,f434]) ).

fof(f5851,plain,
    ( ~ spl3_6
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5850]) ).

fof(f5850,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5849,f295]) ).

fof(f5849,plain,
    ( n0 = sK2
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5848,f142]) ).

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

fof(f5848,plain,
    ( sum(n6,n10) = sK2
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5847,f27]) ).

fof(f5847,plain,
    ( sK2 = sum(pred(n7),n10)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5846,f58]) ).

fof(f5846,plain,
    ( sK2 = sum(pred(sum(n1,n6)),n10)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5845,f9]) ).

fof(f5845,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),n10)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5844,f121]) ).

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

fof(f5844,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5843,f26]) ).

fof(f5843,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5842,f57]) ).

fof(f5842,plain,
    ( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5790,f454]) ).

fof(f5828,plain,
    ( ~ spl3_4
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5827]) ).

fof(f5827,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5826,f305]) ).

fof(f5826,plain,
    ( n10 = sK2
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5825,f106]) ).

fof(f5825,plain,
    ( sum(n4,n6) = sK2
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5824,f25]) ).

fof(f5824,plain,
    ( sK2 = sum(pred(n5),n6)
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5823,f56]) ).

fof(f5823,plain,
    ( sK2 = sum(pred(sum(n1,n4)),n6)
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5822,f7]) ).

fof(f5822,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),n6)
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5821,f87]) ).

fof(f5821,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5820,f24]) ).

fof(f5820,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5819,f55]) ).

fof(f5819,plain,
    ( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
    | ~ spl3_4
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5790,f446]) ).

fof(f5788,plain,
    ( ~ spl3_14
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f5787]) ).

fof(f5787,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f5786,f309]) ).

fof(f5786,plain,
    ( n14 = sK2
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5785,f185]) ).

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

fof(f5785,plain,
    ( sum(n9,n5) = sK2
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5784,f30]) ).

fof(f5784,plain,
    ( sK2 = sum(pred(n10),n5)
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5783,f242]) ).

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

fof(f5783,plain,
    ( sK2 = sum(pred(sum(n12,n14)),n5)
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5782,f252]) ).

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

fof(f5782,plain,
    ( sK2 = sum(pred(sum(n12,n14)),sum(n13,n8))
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5781,f29]) ).

fof(f5781,plain,
    ( sK2 = sum(pred(sum(n12,n14)),sum(n13,pred(n9)))
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5780,f241]) ).

fof(f5780,plain,
    ( sK2 = sum(pred(sum(n12,n14)),sum(n13,pred(sum(n12,n13))))
    | ~ spl3_14
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f5649,f547]) ).

fof(f5649,plain,
    ( sK2 = sum(pred(sum(sK0,n14)),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f5648,f17]) ).

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

fof(f5648,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f294,f486]) ).

fof(f486,plain,
    ( n13 = sK1
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl3_14
  <=> n13 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f5764,plain,
    ( ~ spl3_14
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f5763]) ).

fof(f5763,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f5762,f301]) ).

fof(f5762,plain,
    ( n6 = sK2
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5761,f117]) ).

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

fof(f5761,plain,
    ( sum(n5,n1) = sK2
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5760,f26]) ).

fof(f5760,plain,
    ( sK2 = sum(pred(n6),n1)
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5759,f178]) ).

fof(f178,plain,
    n6 = sum(n8,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5759,plain,
    ( sK2 = sum(pred(sum(n8,n14)),n1)
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5758,f248]) ).

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

fof(f5758,plain,
    ( sK2 = sum(pred(sum(n8,n14)),sum(n13,n4))
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5757,f25]) ).

fof(f5757,plain,
    ( sK2 = sum(pred(sum(n8,n14)),sum(n13,pred(n5)))
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5756,f177]) ).

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

fof(f5756,plain,
    ( sK2 = sum(pred(sum(n8,n14)),sum(n13,pred(sum(n8,n13))))
    | ~ spl3_14
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f5649,f531]) ).

fof(f5741,plain,
    ( ~ spl3_14
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5740]) ).

fof(f5740,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5739,f303]) ).

fof(f5739,plain,
    ( n8 = sK2
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5738,f270]) ).

fof(f270,plain,
    n8 = sum(n14,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f5738,plain,
    ( sum(n14,n10) = sK2
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5737,f35]) ).

fof(f5737,plain,
    ( sK2 = sum(pred(n15),n10)
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5736,f66]) ).

fof(f66,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5736,plain,
    ( sK2 = sum(pred(sum(n1,n14)),n10)
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5735,f257]) ).

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

fof(f5735,plain,
    ( sK2 = sum(pred(sum(n1,n14)),sum(n13,n13))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5734,f34]) ).

fof(f5734,plain,
    ( sK2 = sum(pred(sum(n1,n14)),sum(n13,pred(n14)))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5733,f65]) ).

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

fof(f5733,plain,
    ( sK2 = sum(pred(sum(n1,n14)),sum(n13,pred(sum(n1,n13))))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5649,f503]) ).

fof(f5717,plain,
    ( ~ spl3_14
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f5716]) ).

fof(f5716,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f5715,f299]) ).

fof(f5715,plain,
    ( n4 = sK2
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5714,f236]) ).

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

fof(f5714,plain,
    ( sum(n12,n8) = sK2
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5713,f33]) ).

fof(f5713,plain,
    ( sK2 = sum(pred(n13),n8)
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5712,f290]) ).

fof(f5712,plain,
    ( sK2 = sum(pred(sum(n15,n14)),n8)
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5711,f255]) ).

fof(f255,plain,
    n8 = sum(n13,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f5711,plain,
    ( sK2 = sum(pred(sum(n15,n14)),sum(n13,n11))
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5710,f32]) ).

fof(f5710,plain,
    ( sK2 = sum(pred(sum(n15,n14)),sum(n13,pred(n12)))
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5709,f289]) ).

fof(f289,plain,
    n12 = sum(n15,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f5709,plain,
    ( sK2 = sum(pred(sum(n15,n14)),sum(n13,pred(sum(n15,n13))))
    | ~ spl3_14
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f5649,f559]) ).

fof(f5695,plain,
    ( ~ spl3_14
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f5694]) ).

fof(f5694,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f5693,f307]) ).

fof(f5693,plain,
    ( n12 = sK2
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5692,f48]) ).

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

fof(f5692,plain,
    ( sum(n0,n12) = sK2
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5691,f21]) ).

fof(f5691,plain,
    ( sK2 = sum(pred(n1),n12)
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5690,f98]) ).

fof(f5690,plain,
    ( sK2 = sum(pred(sum(n3,n14)),n12)
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5689,f259]) ).

fof(f5689,plain,
    ( sK2 = sum(pred(sum(n3,n14)),sum(n13,n15))
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5688,f20]) ).

fof(f5688,plain,
    ( sK2 = sum(pred(sum(n3,n14)),sum(n13,pred(n0)))
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5687,f97]) ).

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

fof(f5687,plain,
    ( sK2 = sum(pred(sum(n3,n14)),sum(n13,pred(sum(n3,n13))))
    | ~ spl3_14
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f5649,f511]) ).

fof(f5672,plain,
    ( ~ spl3_14
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f5671]) ).

fof(f5671,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f5670,f297]) ).

fof(f5670,plain,
    ( n2 = sK2
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5669,f99]) ).

fof(f99,plain,
    n2 = sum(n3,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f5669,plain,
    ( sum(n3,n15) = sK2
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5668,f24]) ).

fof(f5668,plain,
    ( sK2 = sum(pred(n4),n15)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5667,f146]) ).

fof(f146,plain,
    n4 = sum(n6,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f5667,plain,
    ( sK2 = sum(pred(sum(n6,n14)),n15)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5666,f246]) ).

fof(f246,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f5666,plain,
    ( sK2 = sum(pred(sum(n6,n14)),sum(n13,n2))
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5665,f23]) ).

fof(f5665,plain,
    ( sK2 = sum(pred(sum(n6,n14)),sum(n13,pred(n3)))
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5664,f145]) ).

fof(f5664,plain,
    ( sK2 = sum(pred(sum(n6,n14)),sum(n13,pred(sum(n6,n13))))
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f5649,f523]) ).

fof(f5647,plain,
    ( ~ spl3_14
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f5646]) ).

fof(f5646,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f5645,f305]) ).

fof(f5645,plain,
    ( n10 = sK2
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5644,f151]) ).

fof(f151,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5644,plain,
    ( sum(n7,n3) = sK2
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5643,f28]) ).

fof(f5643,plain,
    ( sK2 = sum(pred(n8),n3)
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5642,f210]) ).

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

fof(f5642,plain,
    ( sK2 = sum(pred(sum(n10,n14)),n3)
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5641,f17]) ).

fof(f5641,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),n3)
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5640,f250]) ).

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

fof(f5640,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,n6))
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5639,f27]) ).

fof(f5639,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,pred(n7)))
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5638,f209]) ).

fof(f5638,plain,
    ( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,pred(sum(n10,n13))))
    | ~ spl3_14
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f5609,f486]) ).

fof(f5609,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f294,f539]) ).

fof(f5608,plain,
    ( ~ spl3_1
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5607]) ).

fof(f5607,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5606,f304]) ).

fof(f5606,plain,
    ( n9 = sK2
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5605,f256]) ).

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

fof(f5605,plain,
    ( sum(n13,n12) = sK2
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5604,f34]) ).

fof(f5604,plain,
    ( sK2 = sum(pred(n14),n12)
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5603,f245]) ).

fof(f5603,plain,
    ( sK2 = sum(pred(sum(n13,n1)),n12)
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5602,f4]) ).

fof(f5602,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),n12)
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5601,f48]) ).

fof(f5601,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,n12))
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5600,f33]) ).

fof(f5600,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,pred(n13)))
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5599,f244]) ).

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

fof(f5599,plain,
    ( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,pred(sum(n13,n0))))
    | ~ spl3_1
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f434]) ).

fof(f5420,plain,
    ( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f294,f551]) ).

fof(f551,plain,
    ( n13 = sK0
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl3_30
  <=> n13 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f5582,plain,
    ( ~ spl3_14
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5581]) ).

fof(f5581,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5580,f295]) ).

fof(f5580,plain,
    ( n0 = sK2
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5579,f202]) ).

fof(f5579,plain,
    ( sum(n10,n6) = sK2
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5578,f31]) ).

fof(f5578,plain,
    ( sK2 = sum(pred(n11),n6)
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5577,f258]) ).

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

fof(f5577,plain,
    ( sK2 = sum(pred(sum(n13,n14)),n6)
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5576,f17]) ).

fof(f5576,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),n6)
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5575,f253]) ).

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

fof(f5575,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,n9))
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5574,f30]) ).

fof(f5574,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,pred(n10)))
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5573,f257]) ).

fof(f5573,plain,
    ( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,pred(sum(n13,n13))))
    | ~ spl3_14
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f486]) ).

fof(f5557,plain,
    ( ~ spl3_5
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5556]) ).

fof(f5556,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5555,f300]) ).

fof(f5555,plain,
    ( n5 = sK2
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5554,f56]) ).

fof(f5554,plain,
    ( sum(n1,n4) = sK2
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5553,f22]) ).

fof(f5553,plain,
    ( sK2 = sum(pred(n2),n4)
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5552,f249]) ).

fof(f249,plain,
    n2 = sum(n13,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5552,plain,
    ( sK2 = sum(pred(sum(n13,n5)),n4)
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5551,f8]) ).

fof(f5551,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),n4)
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5550,f100]) ).

fof(f100,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5550,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,n0))
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5549,f21]) ).

fof(f5549,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,pred(n1)))
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5548,f248]) ).

fof(f5548,plain,
    ( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,pred(sum(n13,n4))))
    | ~ spl3_5
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f450]) ).

fof(f5533,plain,
    ( ~ spl3_3
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5532]) ).

fof(f5532,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5531,f310]) ).

fof(f5531,plain,
    ( n15 = sK2
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5530,f276]) ).

fof(f5530,plain,
    ( sum(n15,n0) = sK2
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5529,f20]) ).

fof(f5529,plain,
    ( sK2 = sum(pred(n0),n0)
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5528,f247]) ).

fof(f247,plain,
    n0 = sum(n13,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f5528,plain,
    ( sK2 = sum(pred(sum(n13,n3)),n0)
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5527,f6]) ).

fof(f5527,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),n0)
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5526,f82]) ).

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

fof(f5526,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,n14))
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5525,f35]) ).

fof(f5525,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,pred(n15)))
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5524,f246]) ).

fof(f5524,plain,
    ( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,pred(sum(n13,n2))))
    | ~ spl3_3
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f442]) ).

fof(f5508,plain,
    ( ~ spl3_4
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5507]) ).

fof(f5507,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5506,f297]) ).

fof(f5506,plain,
    ( n2 = sK2
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5505,f38]) ).

fof(f5505,plain,
    ( sum(n0,n2) = sK2
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5504,f21]) ).

fof(f5504,plain,
    ( sK2 = sum(pred(n1),n2)
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5503,f248]) ).

fof(f5503,plain,
    ( sK2 = sum(pred(sum(n13,n4)),n2)
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5502,f7]) ).

fof(f5502,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),n2)
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5501,f99]) ).

fof(f5501,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,n15))
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5500,f20]) ).

fof(f5500,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,pred(n0)))
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5499,f247]) ).

fof(f5499,plain,
    ( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,pred(sum(n13,n3))))
    | ~ spl3_4
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f446]) ).

fof(f5483,plain,
    ( ~ spl3_6
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5482]) ).

fof(f5482,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5481,f303]) ).

fof(f5481,plain,
    ( n8 = sK2
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5480,f74]) ).

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

fof(f5480,plain,
    ( sum(n2,n6) = sK2
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5479,f23]) ).

fof(f5479,plain,
    ( sK2 = sum(pred(n3),n6)
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5478,f250]) ).

fof(f5478,plain,
    ( sK2 = sum(pred(sum(n13,n6)),n6)
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5477,f9]) ).

fof(f5477,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),n6)
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5476,f117]) ).

fof(f5476,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,n1))
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5475,f22]) ).

fof(f5475,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,pred(n2)))
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5474,f249]) ).

fof(f5474,plain,
    ( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,pred(sum(n13,n5))))
    | ~ spl3_6
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f454]) ).

fof(f5458,plain,
    ( ~ spl3_7
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5457]) ).

fof(f5457,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5456,f306]) ).

fof(f5456,plain,
    ( n11 = sK2
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5455,f92]) ).

fof(f5455,plain,
    ( sum(n3,n8) = sK2
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5454,f24]) ).

fof(f5454,plain,
    ( sK2 = sum(pred(n4),n8)
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5453,f251]) ).

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

fof(f5453,plain,
    ( sK2 = sum(pred(sum(n13,n7)),n8)
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5452,f10]) ).

fof(f5452,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),n8)
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5451,f134]) ).

fof(f5451,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,n2))
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5450,f23]) ).

fof(f5450,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,pred(n3)))
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5449,f250]) ).

fof(f5449,plain,
    ( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,pred(sum(n13,n6))))
    | ~ spl3_7
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5420,f458]) ).

fof(f5419,plain,
    ( ~ spl3_13
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f5418]) ).

fof(f5418,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f5417,f298]) ).

fof(f5417,plain,
    ( n3 = sK2
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5416,f115]) ).

fof(f5416,plain,
    ( sum(n4,n15) = sK2
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5415,f25]) ).

fof(f5415,plain,
    ( sK2 = sum(pred(n5),n15)
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5414,f177]) ).

fof(f5414,plain,
    ( sK2 = sum(pred(sum(n8,n13)),n15)
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5413,f231]) ).

fof(f5413,plain,
    ( sK2 = sum(pred(sum(n8,n13)),sum(n12,n3))
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5412,f24]) ).

fof(f5412,plain,
    ( sK2 = sum(pred(sum(n8,n13)),sum(n12,pred(n4)))
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f5411,f176]) ).

fof(f5411,plain,
    ( sK2 = sum(pred(sum(n8,n13)),sum(n12,pred(sum(n8,n12))))
    | ~ spl3_13
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f5251,f531]) ).

fof(f5251,plain,
    ( sK2 = sum(pred(sum(sK0,n13)),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f5250,f16]) ).

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

fof(f5250,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f294,f482]) ).

fof(f482,plain,
    ( n12 = sK1
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl3_13
  <=> n12 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f5395,plain,
    ( ~ spl3_13
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f5394]) ).

fof(f5394,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f5393,f306]) ).

fof(f5393,plain,
    ( n11 = sK2
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5392,f167]) ).

fof(f5392,plain,
    ( sum(n8,n3) = sK2
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5391,f29]) ).

fof(f5391,plain,
    ( sK2 = sum(pred(n9),n3)
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5390,f241]) ).

fof(f5390,plain,
    ( sK2 = sum(pred(sum(n12,n13)),n3)
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5389,f235]) ).

fof(f5389,plain,
    ( sK2 = sum(pred(sum(n12,n13)),sum(n12,n7))
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5388,f28]) ).

fof(f5388,plain,
    ( sK2 = sum(pred(sum(n12,n13)),sum(n12,pred(n8)))
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f5387,f240]) ).

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

fof(f5387,plain,
    ( sK2 = sum(pred(sum(n12,n13)),sum(n12,pred(sum(n12,n12))))
    | ~ spl3_13
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f5251,f547]) ).

fof(f5370,plain,
    ( ~ spl3_13
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f5369]) ).

fof(f5369,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f5368,f296]) ).

fof(f5368,plain,
    ( n1 = sK2
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5367,f218]) ).

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

fof(f5367,plain,
    ( sum(n11,n6) = sK2
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5366,f32]) ).

fof(f5366,plain,
    ( sK2 = sum(pred(n12),n6)
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5365,f289]) ).

fof(f5365,plain,
    ( sK2 = sum(pred(sum(n15,n13)),n6)
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5364,f238]) ).

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

fof(f5364,plain,
    ( sK2 = sum(pred(sum(n15,n13)),sum(n12,n10))
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5363,f31]) ).

fof(f5363,plain,
    ( sK2 = sum(pred(sum(n15,n13)),sum(n12,pred(n11)))
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f5362,f288]) ).

fof(f288,plain,
    n11 = sum(n15,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5362,plain,
    ( sK2 = sum(pred(sum(n15,n13)),sum(n12,pred(sum(n15,n12))))
    | ~ spl3_13
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f5251,f559]) ).

fof(f5346,plain,
    ( ~ spl3_13
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f5345]) ).

fof(f5345,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f5344,f310]) ).

fof(f5344,plain,
    ( n15 = sK2
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5343,f81]) ).

fof(f5343,plain,
    ( sum(n2,n13) = sK2
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5342,f23]) ).

fof(f5342,plain,
    ( sK2 = sum(pred(n3),n13)
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5341,f145]) ).

fof(f5341,plain,
    ( sK2 = sum(pred(sum(n6,n13)),n13)
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5340,f229]) ).

fof(f5340,plain,
    ( sK2 = sum(pred(sum(n6,n13)),sum(n12,n1))
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5339,f22]) ).

fof(f5339,plain,
    ( sK2 = sum(pred(sum(n6,n13)),sum(n12,pred(n2)))
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f5338,f144]) ).

fof(f144,plain,
    n2 = sum(n6,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f5338,plain,
    ( sK2 = sum(pred(sum(n6,n13)),sum(n12,pred(sum(n6,n12))))
    | ~ spl3_13
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f5251,f523]) ).

fof(f5322,plain,
    ( ~ spl3_13
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f5321]) ).

fof(f5321,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f5320,f304]) ).

fof(f5320,plain,
    ( n9 = sK2
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5319,f286]) ).

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

fof(f5319,plain,
    ( sum(n15,n10) = sK2
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5318,f20]) ).

fof(f5318,plain,
    ( sK2 = sum(pred(n0),n10)
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5317,f97]) ).

fof(f5317,plain,
    ( sK2 = sum(pred(sum(n3,n13)),n10)
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5316,f242]) ).

fof(f5316,plain,
    ( sK2 = sum(pred(sum(n3,n13)),sum(n12,n14))
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5315,f35]) ).

fof(f5315,plain,
    ( sK2 = sum(pred(sum(n3,n13)),sum(n12,pred(n15)))
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f5314,f96]) ).

fof(f5314,plain,
    ( sK2 = sum(pred(sum(n3,n13)),sum(n12,pred(sum(n3,n12))))
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f5251,f511]) ).

fof(f5299,plain,
    ( ~ spl3_13
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f5298]) ).

fof(f5298,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f5297,f300]) ).

fof(f5297,plain,
    ( n5 = sK2
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5296,f252]) ).

fof(f5296,plain,
    ( sum(n13,n8) = sK2
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5295,f34]) ).

fof(f5295,plain,
    ( sK2 = sum(pred(n14),n8)
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5294,f65]) ).

fof(f5294,plain,
    ( sK2 = sum(pred(sum(n1,n13)),n8)
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5293,f240]) ).

fof(f5293,plain,
    ( sK2 = sum(pred(sum(n1,n13)),sum(n12,n12))
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5292,f33]) ).

fof(f5292,plain,
    ( sK2 = sum(pred(sum(n1,n13)),sum(n12,pred(n13)))
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f5291,f64]) ).

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

fof(f5291,plain,
    ( sK2 = sum(pred(sum(n1,n13)),sum(n12,pred(sum(n1,n12))))
    | ~ spl3_13
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f5251,f503]) ).

fof(f5274,plain,
    ( ~ spl3_13
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f5273]) ).

fof(f5273,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f5272,f308]) ).

fof(f5272,plain,
    ( n13 = sK2
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5271,f184]) ).

fof(f184,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f5271,plain,
    ( sum(n9,n4) = sK2
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5270,f30]) ).

fof(f5270,plain,
    ( sK2 = sum(pred(n10),n4)
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5269,f257]) ).

fof(f5269,plain,
    ( sK2 = sum(pred(sum(n13,n13)),n4)
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5268,f236]) ).

fof(f5268,plain,
    ( sK2 = sum(pred(sum(n13,n13)),sum(n12,n8))
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5267,f29]) ).

fof(f5267,plain,
    ( sK2 = sum(pred(sum(n13,n13)),sum(n12,pred(n9)))
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f5266,f256]) ).

fof(f5266,plain,
    ( sK2 = sum(pred(sum(n13,n13)),sum(n12,pred(sum(n13,n12))))
    | ~ spl3_13
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f5251,f551]) ).

fof(f5249,plain,
    ( ~ spl3_13
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f5248]) ).

fof(f5248,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f5247,f302]) ).

fof(f5247,plain,
    ( n7 = sK2
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5246,f133]) ).

fof(f5246,plain,
    ( sum(n6,n1) = sK2
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5245,f27]) ).

fof(f5245,plain,
    ( sK2 = sum(pred(n7),n1)
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5244,f209]) ).

fof(f5244,plain,
    ( sK2 = sum(pred(sum(n10,n13)),n1)
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5243,f16]) ).

fof(f5243,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),n1)
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5242,f233]) ).

fof(f5242,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,n5))
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5241,f26]) ).

fof(f5241,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(n6)))
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f5240,f208]) ).

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

fof(f5240,plain,
    ( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(sum(n10,n12))))
    | ~ spl3_13
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f5211,f482]) ).

fof(f5211,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f294,f539]) ).

fof(f5210,plain,
    ( ~ spl3_6
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5209]) ).

fof(f5209,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5208,f299]) ).

fof(f5208,plain,
    ( n4 = sK2
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5207,f40]) ).

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

fof(f5207,plain,
    ( sum(n0,n4) = sK2
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5206,f21]) ).

fof(f5206,plain,
    ( sK2 = sum(pred(n1),n4)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5205,f218]) ).

fof(f5205,plain,
    ( sK2 = sum(pred(sum(n11,n6)),n4)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5204,f9]) ).

fof(f5204,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),n4)
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5203,f131]) ).

fof(f131,plain,
    n4 = sum(n5,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f5203,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,n15))
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5202,f20]) ).

fof(f5202,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(n0)))
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5201,f217]) ).

fof(f217,plain,
    n0 = sum(n11,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f5201,plain,
    ( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(sum(n11,n5))))
    | ~ spl3_6
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f454]) ).

fof(f4997,plain,
    ( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f294,f543]) ).

fof(f543,plain,
    ( n11 = sK0
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl3_28
  <=> n11 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f5185,plain,
    ( ~ spl3_13
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5184]) ).

fof(f5184,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5183,f304]) ).

fof(f5183,plain,
    ( n9 = sK2
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5182,f150]) ).

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

fof(f5182,plain,
    ( sum(n7,n2) = sK2
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5181,f28]) ).

fof(f5181,plain,
    ( sK2 = sum(pred(n8),n2)
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5180,f225]) ).

fof(f5180,plain,
    ( sK2 = sum(pred(sum(n11,n13)),n2)
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5179,f16]) ).

fof(f5179,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),n2)
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5178,f234]) ).

fof(f5178,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,n6))
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5177,f27]) ).

fof(f5177,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(n7)))
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5176,f224]) ).

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

fof(f5176,plain,
    ( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(sum(n11,n12))))
    | ~ spl3_13
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f482]) ).

fof(f5159,plain,
    ( ~ spl3_14
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5158]) ).

fof(f5158,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5157,f307]) ).

fof(f5157,plain,
    ( n12 = sK2
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5156,f168]) ).

fof(f5156,plain,
    ( sum(n8,n4) = sK2
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5155,f29]) ).

fof(f5155,plain,
    ( sK2 = sum(pred(n9),n4)
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5154,f226]) ).

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

fof(f5154,plain,
    ( sK2 = sum(pred(sum(n11,n14)),n4)
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5153,f17]) ).

fof(f5153,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),n4)
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5152,f251]) ).

fof(f5152,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,n7))
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5151,f28]) ).

fof(f5151,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(n8)))
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5150,f225]) ).

fof(f5150,plain,
    ( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(sum(n11,n13))))
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f486]) ).

fof(f5135,plain,
    ( ~ spl3_3
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5134]) ).

fof(f5134,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5133,f306]) ).

fof(f5133,plain,
    ( n11 = sK2
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5132,f258]) ).

fof(f5132,plain,
    ( sum(n13,n14) = sK2
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5131,f34]) ).

fof(f5131,plain,
    ( sK2 = sum(pred(n14),n14)
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5130,f215]) ).

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

fof(f5130,plain,
    ( sK2 = sum(pred(sum(n11,n3)),n14)
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5129,f6]) ).

fof(f5129,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),n14)
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5128,f80]) ).

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

fof(f5128,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,n12))
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5127,f33]) ).

fof(f5127,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,pred(n13)))
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5126,f214]) ).

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

fof(f5126,plain,
    ( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,pred(sum(n11,n2))))
    | ~ spl3_3
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f442]) ).

fof(f5109,plain,
    ( ~ spl3_7
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5108]) ).

fof(f5108,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5107,f302]) ).

fof(f5107,plain,
    ( n7 = sK2
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5106,f58]) ).

fof(f5106,plain,
    ( sum(n1,n6) = sK2
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5105,f22]) ).

fof(f5105,plain,
    ( sK2 = sum(pred(n2),n6)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5104,f219]) ).

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

fof(f5104,plain,
    ( sK2 = sum(pred(sum(n11,n7)),n6)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5103,f10]) ).

fof(f5103,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),n6)
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5102,f132]) ).

fof(f5102,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,n0))
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5101,f21]) ).

fof(f5101,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,pred(n1)))
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5100,f218]) ).

fof(f5100,plain,
    ( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,pred(sum(n11,n6))))
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f458]) ).

fof(f5085,plain,
    ( ~ spl3_1
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5084]) ).

fof(f5084,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5083,f300]) ).

fof(f5083,plain,
    ( n5 = sK2
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5082,f222]) ).

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

fof(f5082,plain,
    ( sum(n11,n10) = sK2
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5081,f32]) ).

fof(f5081,plain,
    ( sK2 = sum(pred(n12),n10)
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5080,f213]) ).

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

fof(f5080,plain,
    ( sK2 = sum(pred(sum(n11,n1)),n10)
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5079,f4]) ).

fof(f5079,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),n10)
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5078,f46]) ).

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

fof(f5078,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,n10))
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5077,f31]) ).

fof(f5077,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(n11)))
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5076,f212]) ).

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

fof(f5076,plain,
    ( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(sum(n11,n0))))
    | ~ spl3_1
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f434]) ).

fof(f5059,plain,
    ( ~ spl3_5
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5058]) ).

fof(f5058,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5057,f296]) ).

fof(f5057,plain,
    ( n1 = sK2
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5056,f278]) ).

fof(f5056,plain,
    ( sum(n15,n2) = sK2
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5055,f20]) ).

fof(f5055,plain,
    ( sK2 = sum(pred(n0),n2)
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5054,f217]) ).

fof(f5054,plain,
    ( sK2 = sum(pred(sum(n11,n5)),n2)
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5053,f8]) ).

fof(f5053,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),n2)
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5052,f114]) ).

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

fof(f5052,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,n14))
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5051,f35]) ).

fof(f5051,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,pred(n15)))
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5050,f216]) ).

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

fof(f5050,plain,
    ( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,pred(sum(n11,n4))))
    | ~ spl3_5
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f450]) ).

fof(f5035,plain,
    ( ~ spl3_4
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f5034]) ).

fof(f5034,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f5033,f309]) ).

fof(f5033,plain,
    ( n14 = sK2
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5032,f260]) ).

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

fof(f5032,plain,
    ( sum(n14,n0) = sK2
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5031,f35]) ).

fof(f5031,plain,
    ( sK2 = sum(pred(n15),n0)
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5030,f216]) ).

fof(f5030,plain,
    ( sK2 = sum(pred(sum(n11,n4)),n0)
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5029,f7]) ).

fof(f5029,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),n0)
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5028,f97]) ).

fof(f5028,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,n13))
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5027,f34]) ).

fof(f5027,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,pred(n14)))
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f5026,f215]) ).

fof(f5026,plain,
    ( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,pred(sum(n11,n3))))
    | ~ spl3_4
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4997,f446]) ).

fof(f4995,plain,
    ( ~ spl3_12
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f4994]) ).

fof(f4994,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f4993,f305]) ).

fof(f4993,plain,
    ( n10 = sK2
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4992,f166]) ).

fof(f4992,plain,
    ( sum(n8,n2) = sK2
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4991,f29]) ).

fof(f4991,plain,
    ( sK2 = sum(pred(n9),n2)
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4990,f256]) ).

fof(f4990,plain,
    ( sK2 = sum(pred(sum(n13,n12)),n2)
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4989,f219]) ).

fof(f4989,plain,
    ( sK2 = sum(pred(sum(n13,n12)),sum(n11,n7))
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4988,f28]) ).

fof(f4988,plain,
    ( sK2 = sum(pred(sum(n13,n12)),sum(n11,pred(n8)))
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4987,f255]) ).

fof(f4987,plain,
    ( sK2 = sum(pred(sum(n13,n12)),sum(n11,pred(sum(n13,n11))))
    | ~ spl3_12
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f4806,f551]) ).

fof(f4806,plain,
    ( sK2 = sum(pred(sum(sK0,n12)),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f4805,f15]) ).

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

fof(f4805,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f294,f478]) ).

fof(f478,plain,
    ( n11 = sK1
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl3_12
  <=> n11 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f4972,plain,
    ( ~ spl3_12
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f4971]) ).

fof(f4971,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f4970,f295]) ).

fof(f4970,plain,
    ( n0 = sK2
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4969,f97]) ).

fof(f4969,plain,
    ( sum(n3,n13) = sK2
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4968,f24]) ).

fof(f4968,plain,
    ( sK2 = sum(pred(n4),n13)
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4967,f176]) ).

fof(f4967,plain,
    ( sK2 = sum(pred(sum(n8,n12)),n13)
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4966,f214]) ).

fof(f4966,plain,
    ( sK2 = sum(pred(sum(n8,n12)),sum(n11,n2))
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4965,f23]) ).

fof(f4965,plain,
    ( sK2 = sum(pred(sum(n8,n12)),sum(n11,pred(n3)))
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4964,f175]) ).

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

fof(f4964,plain,
    ( sK2 = sum(pred(sum(n8,n12)),sum(n11,pred(sum(n8,n11))))
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f4806,f531]) ).

fof(f4947,plain,
    ( ~ spl3_12
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f4946]) ).

fof(f4946,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f4945,f303]) ).

fof(f4945,plain,
    ( n8 = sK2
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4944,f149]) ).

fof(f149,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4944,plain,
    ( sum(n7,n1) = sK2
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4943,f28]) ).

fof(f4943,plain,
    ( sK2 = sum(pred(n8),n1)
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4942,f240]) ).

fof(f4942,plain,
    ( sK2 = sum(pred(sum(n12,n12)),n1)
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4941,f218]) ).

fof(f4941,plain,
    ( sK2 = sum(pred(sum(n12,n12)),sum(n11,n6))
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4940,f27]) ).

fof(f4940,plain,
    ( sK2 = sum(pred(sum(n12,n12)),sum(n11,pred(n7)))
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4939,f239]) ).

fof(f4939,plain,
    ( sK2 = sum(pred(sum(n12,n12)),sum(n11,pred(sum(n12,n11))))
    | ~ spl3_12
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f4806,f547]) ).

fof(f4923,plain,
    ( ~ spl3_12
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f4922]) ).

fof(f4922,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f4921,f301]) ).

fof(f4921,plain,
    ( n6 = sK2
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4920,f268]) ).

fof(f268,plain,
    n6 = sum(n14,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f4920,plain,
    ( sum(n14,n8) = sK2
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4919,f35]) ).

fof(f4919,plain,
    ( sK2 = sum(pred(n15),n8)
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4918,f96]) ).

fof(f4918,plain,
    ( sK2 = sum(pred(sum(n3,n12)),n8)
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4917,f225]) ).

fof(f4917,plain,
    ( sK2 = sum(pred(sum(n3,n12)),sum(n11,n13))
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4916,f34]) ).

fof(f4916,plain,
    ( sK2 = sum(pred(sum(n3,n12)),sum(n11,pred(n14)))
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4915,f95]) ).

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

fof(f4915,plain,
    ( sK2 = sum(pred(sum(n3,n12)),sum(n11,pred(sum(n3,n11))))
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f4806,f511]) ).

fof(f4900,plain,
    ( ~ spl3_12
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f4899]) ).

fof(f4899,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f4898,f297]) ).

fof(f4898,plain,
    ( n2 = sK2
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4897,f234]) ).

fof(f4897,plain,
    ( sum(n12,n6) = sK2
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4896,f33]) ).

fof(f4896,plain,
    ( sK2 = sum(pred(n13),n6)
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4895,f64]) ).

fof(f4895,plain,
    ( sK2 = sum(pred(sum(n1,n12)),n6)
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4894,f223]) ).

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

fof(f4894,plain,
    ( sK2 = sum(pred(sum(n1,n12)),sum(n11,n11))
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4893,f32]) ).

fof(f4893,plain,
    ( sK2 = sum(pred(sum(n1,n12)),sum(n11,pred(n12)))
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4892,f63]) ).

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

fof(f4892,plain,
    ( sK2 = sum(pred(sum(n1,n12)),sum(n11,pred(sum(n1,n11))))
    | ~ spl3_12
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f4806,f503]) ).

fof(f4876,plain,
    ( ~ spl3_12
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f4875]) ).

fof(f4875,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f4874,f307]) ).

fof(f4874,plain,
    ( n12 = sK2
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4873,f63]) ).

fof(f4873,plain,
    ( sum(n1,n11) = sK2
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4872,f22]) ).

fof(f4872,plain,
    ( sK2 = sum(pred(n2),n11)
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4871,f144]) ).

fof(f4871,plain,
    ( sK2 = sum(pred(sum(n6,n12)),n11)
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4870,f212]) ).

fof(f4870,plain,
    ( sK2 = sum(pred(sum(n6,n12)),sum(n11,n0))
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4869,f21]) ).

fof(f4869,plain,
    ( sK2 = sum(pred(sum(n6,n12)),sum(n11,pred(n1)))
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4868,f143]) ).

fof(f4868,plain,
    ( sK2 = sum(pred(sum(n6,n12)),sum(n11,pred(sum(n6,n11))))
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f4806,f523]) ).

fof(f4852,plain,
    ( ~ spl3_12
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f4851]) ).

fof(f4851,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f4850,f301]) ).

fof(f4850,plain,
    ( n6 = sK2
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4849,f132]) ).

fof(f4849,plain,
    ( sum(n6,n0) = sK2
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4848,f27]) ).

fof(f4848,plain,
    ( sK2 = sum(pred(n7),n0)
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4847,f224]) ).

fof(f4847,plain,
    ( sK2 = sum(pred(sum(n11,n12)),n0)
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4846,f217]) ).

fof(f4846,plain,
    ( sK2 = sum(pred(sum(n11,n12)),sum(n11,n5))
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4845,f26]) ).

fof(f4845,plain,
    ( sK2 = sum(pred(sum(n11,n12)),sum(n11,pred(n6)))
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4844,f223]) ).

fof(f4844,plain,
    ( sK2 = sum(pred(sum(n11,n12)),sum(n11,pred(sum(n11,n11))))
    | ~ spl3_12
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4806,f543]) ).

fof(f4828,plain,
    ( ~ spl3_12
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f4827]) ).

fof(f4827,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f4826,f309]) ).

fof(f4826,plain,
    ( n14 = sK2
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4825,f200]) ).

fof(f4825,plain,
    ( sum(n10,n4) = sK2
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4824,f31]) ).

fof(f4824,plain,
    ( sK2 = sum(pred(n11),n4)
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4823,f288]) ).

fof(f4823,plain,
    ( sK2 = sum(pred(sum(n15,n12)),n4)
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4822,f221]) ).

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

fof(f4822,plain,
    ( sK2 = sum(pred(sum(n15,n12)),sum(n11,n9))
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4821,f30]) ).

fof(f4821,plain,
    ( sK2 = sum(pred(sum(n15,n12)),sum(n11,pred(n10)))
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4820,f287]) ).

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

fof(f4820,plain,
    ( sK2 = sum(pred(sum(n15,n12)),sum(n11,pred(sum(n15,n11))))
    | ~ spl3_12
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f4806,f559]) ).

fof(f4804,plain,
    ( ~ spl3_12
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f4803]) ).

fof(f4803,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f4802,f299]) ).

fof(f4802,plain,
    ( n4 = sK2
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4801,f131]) ).

fof(f4801,plain,
    ( sum(n5,n15) = sK2
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4800,f26]) ).

fof(f4800,plain,
    ( sK2 = sum(pred(n6),n15)
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4799,f208]) ).

fof(f4799,plain,
    ( sK2 = sum(pred(sum(n10,n12)),n15)
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4798,f15]) ).

fof(f4798,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),n15)
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4797,f216]) ).

fof(f4797,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,n4))
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4796,f25]) ).

fof(f4796,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(n5)))
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4795,f207]) ).

fof(f4795,plain,
    ( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(sum(n10,n11))))
    | ~ spl3_12
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f4766,f478]) ).

fof(f4766,plain,
    ( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f294,f539]) ).

fof(f4765,plain,
    ( ~ spl3_5
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4764]) ).

fof(f4764,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4763,f308]) ).

fof(f4763,plain,
    ( n13 = sK2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4762,f244]) ).

fof(f4762,plain,
    ( sum(n13,n0) = sK2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4761,f34]) ).

fof(f4761,plain,
    ( sK2 = sum(pred(n14),n0)
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4760,f185]) ).

fof(f4760,plain,
    ( sK2 = sum(pred(sum(n9,n5)),n0)
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4759,f8]) ).

fof(f4759,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),n0)
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4758,f112]) ).

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

fof(f4758,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,n12))
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4757,f33]) ).

fof(f4757,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(n13)))
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4756,f184]) ).

fof(f4756,plain,
    ( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(sum(n9,n4))))
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f450]) ).

fof(f4533,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f294,f535]) ).

fof(f535,plain,
    ( n9 = sK0
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl3_26
  <=> n9 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f4739,plain,
    ( ~ spl3_14
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4738]) ).

fof(f4738,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4737,f303]) ).

fof(f4737,plain,
    ( n8 = sK2
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4736,f134]) ).

fof(f4736,plain,
    ( sum(n6,n2) = sK2
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4735,f27]) ).

fof(f4735,plain,
    ( sK2 = sum(pred(n7),n2)
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4734,f194]) ).

fof(f4734,plain,
    ( sK2 = sum(pred(sum(n9,n14)),n2)
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4733,f17]) ).

fof(f4733,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),n2)
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4732,f249]) ).

fof(f4732,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,n5))
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4731,f26]) ).

fof(f4731,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,pred(n6)))
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4730,f193]) ).

fof(f193,plain,
    n6 = sum(n9,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f4730,plain,
    ( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,pred(sum(n9,n13))))
    | ~ spl3_14
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f486]) ).

fof(f4715,plain,
    ( ~ spl3_4
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4714]) ).

fof(f4714,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4713,f305]) ).

fof(f4713,plain,
    ( n10 = sK2
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4712,f242]) ).

fof(f4712,plain,
    ( sum(n12,n14) = sK2
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4711,f33]) ).

fof(f4711,plain,
    ( sK2 = sum(pred(n13),n14)
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4710,f184]) ).

fof(f4710,plain,
    ( sK2 = sum(pred(sum(n9,n4)),n14)
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4709,f7]) ).

fof(f4709,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),n14)
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4708,f95]) ).

fof(f4708,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,n11))
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4707,f32]) ).

fof(f4707,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(n12)))
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4706,f183]) ).

fof(f183,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f4706,plain,
    ( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3))))
    | ~ spl3_4
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f446]) ).

fof(f4690,plain,
    ( ~ spl3_6
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4689]) ).

fof(f4689,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4688,f295]) ).

fof(f4688,plain,
    ( n0 = sK2
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4687,f262]) ).

fof(f262,plain,
    n0 = sum(n14,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4687,plain,
    ( sum(n14,n2) = sK2
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4686,f35]) ).

fof(f4686,plain,
    ( sK2 = sum(pred(n15),n2)
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4685,f186]) ).

fof(f186,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f4685,plain,
    ( sK2 = sum(pred(sum(n9,n6)),n2)
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4684,f9]) ).

fof(f4684,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),n2)
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4683,f129]) ).

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

fof(f4683,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,n13))
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4682,f34]) ).

fof(f4682,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n14)))
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4681,f185]) ).

fof(f4681,plain,
    ( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5))))
    | ~ spl3_6
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f454]) ).

fof(f4667,plain,
    ( ~ spl3_1
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4666]) ).

fof(f4666,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4665,f296]) ).

fof(f4665,plain,
    ( n1 = sK2
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4664,f188]) ).

fof(f188,plain,
    n1 = sum(n9,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f4664,plain,
    ( sum(n9,n8) = sK2
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4663,f30]) ).

fof(f4663,plain,
    ( sK2 = sum(pred(n10),n8)
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4662,f181]) ).

fof(f181,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f4662,plain,
    ( sK2 = sum(pred(sum(n9,n1)),n8)
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4661,f4]) ).

fof(f4661,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),n8)
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4660,f44]) ).

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

fof(f4660,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4659,f29]) ).

fof(f4659,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9)))
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4658,f180]) ).

fof(f180,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4658,plain,
    ( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
    | ~ spl3_1
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f434]) ).

fof(f4643,plain,
    ( ~ spl3_7
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4642]) ).

fof(f4642,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4641,f298]) ).

fof(f4641,plain,
    ( n3 = sK2
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4640,f280]) ).

fof(f4640,plain,
    ( sum(n15,n4) = sK2
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4639,f20]) ).

fof(f4639,plain,
    ( sK2 = sum(pred(n0),n4)
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4638,f187]) ).

fof(f187,plain,
    n0 = sum(n9,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f4638,plain,
    ( sK2 = sum(pred(sum(n9,n7)),n4)
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4637,f10]) ).

fof(f4637,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),n4)
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4636,f146]) ).

fof(f4636,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,n14))
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4635,f35]) ).

fof(f4635,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n15)))
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4634,f186]) ).

fof(f4634,plain,
    ( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
    | ~ spl3_7
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f458]) ).

fof(f4618,plain,
    ( ~ spl3_13
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4617]) ).

fof(f4617,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4616,f300]) ).

fof(f4616,plain,
    ( n5 = sK2
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4615,f116]) ).

fof(f4615,plain,
    ( sum(n5,n0) = sK2
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4614,f26]) ).

fof(f4614,plain,
    ( sK2 = sum(pred(n6),n0)
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4613,f193]) ).

fof(f4613,plain,
    ( sK2 = sum(pred(sum(n9,n13)),n0)
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4612,f16]) ).

fof(f4612,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),n0)
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4611,f232]) ).

fof(f4611,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,n4))
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4610,f25]) ).

fof(f4610,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(n5)))
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4609,f192]) ).

fof(f192,plain,
    n5 = sum(n9,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f4609,plain,
    ( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(sum(n9,n12))))
    | ~ spl3_13
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f482]) ).

fof(f4595,plain,
    ( ~ spl3_3
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4594]) ).

fof(f4594,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4593,f302]) ).

fof(f4593,plain,
    ( n7 = sK2
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4592,f224]) ).

fof(f4592,plain,
    ( sum(n11,n12) = sK2
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4591,f32]) ).

fof(f4591,plain,
    ( sK2 = sum(pred(n12),n12)
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4590,f183]) ).

fof(f4590,plain,
    ( sK2 = sum(pred(sum(n9,n3)),n12)
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4589,f6]) ).

fof(f4589,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),n12)
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4588,f78]) ).

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

fof(f4588,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,n10))
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4587,f31]) ).

fof(f4587,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(n11)))
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4586,f182]) ).

fof(f182,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f4586,plain,
    ( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2))))
    | ~ spl3_3
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f442]) ).

fof(f4570,plain,
    ( ~ spl3_12
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4569]) ).

fof(f4569,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4568,f297]) ).

fof(f4568,plain,
    ( n2 = sK2
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4567,f114]) ).

fof(f4567,plain,
    ( sum(n4,n14) = sK2
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4566,f25]) ).

fof(f4566,plain,
    ( sK2 = sum(pred(n5),n14)
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4565,f192]) ).

fof(f4565,plain,
    ( sK2 = sum(pred(sum(n9,n12)),n14)
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4564,f15]) ).

fof(f4564,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),n14)
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4563,f215]) ).

fof(f4563,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,n3))
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4562,f24]) ).

fof(f4562,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,pred(n4)))
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4561,f191]) ).

fof(f4561,plain,
    ( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,pred(sum(n9,n11))))
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4533,f478]) ).

fof(f4532,plain,
    ( ~ spl3_11
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f4531]) ).

fof(f4531,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f4530,f304]) ).

fof(f4530,plain,
    ( n9 = sK2
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4529,f45]) ).

fof(f4529,plain,
    ( sum(n0,n9) = sK2
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4528,f21]) ).

fof(f4528,plain,
    ( sK2 = sum(pred(n1),n9)
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4527,f143]) ).

fof(f4527,plain,
    ( sK2 = sum(pred(sum(n6,n11)),n9)
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4526,f211]) ).

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

fof(f4526,plain,
    ( sK2 = sum(pred(sum(n6,n11)),sum(n10,n15))
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4525,f20]) ).

fof(f4525,plain,
    ( sK2 = sum(pred(sum(n6,n11)),sum(n10,pred(n0)))
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f4524,f142]) ).

fof(f4524,plain,
    ( sK2 = sum(pred(sum(n6,n11)),sum(n10,pred(sum(n6,n10))))
    | ~ spl3_11
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f4321,f523]) ).

fof(f4321,plain,
    ( sK2 = sum(pred(sum(sK0,n11)),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f4320,f14]) ).

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

fof(f4320,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f294,f474]) ).

fof(f474,plain,
    ( n10 = sK1
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl3_11
  <=> n10 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f4507,plain,
    ( ~ spl3_11
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f4506]) ).

fof(f4506,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f4505,f300]) ).

fof(f4505,plain,
    ( n5 = sK2
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4504,f147]) ).

fof(f4504,plain,
    ( sum(n6,n15) = sK2
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4503,f27]) ).

fof(f4503,plain,
    ( sK2 = sum(pred(n7),n15)
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4502,f239]) ).

fof(f4502,plain,
    ( sK2 = sum(pred(sum(n12,n11)),n15)
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4501,f201]) ).

fof(f4501,plain,
    ( sK2 = sum(pred(sum(n12,n11)),sum(n10,n5))
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4500,f26]) ).

fof(f4500,plain,
    ( sK2 = sum(pred(sum(n12,n11)),sum(n10,pred(n6)))
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f4499,f238]) ).

fof(f4499,plain,
    ( sK2 = sum(pred(sum(n12,n11)),sum(n10,pred(sum(n12,n10))))
    | ~ spl3_11
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f4321,f547]) ).

fof(f4484,plain,
    ( ~ spl3_11
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f4483]) ).

fof(f4483,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f4482,f308]) ).

fof(f4482,plain,
    ( n13 = sK2
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4481,f79]) ).

fof(f4481,plain,
    ( sum(n2,n11) = sK2
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4480,f23]) ).

fof(f4480,plain,
    ( sK2 = sum(pred(n3),n11)
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4479,f175]) ).

fof(f4479,plain,
    ( sK2 = sum(pred(sum(n8,n11)),n11)
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4478,f197]) ).

fof(f4478,plain,
    ( sK2 = sum(pred(sum(n8,n11)),sum(n10,n1))
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4477,f22]) ).

fof(f4477,plain,
    ( sK2 = sum(pred(sum(n8,n11)),sum(n10,pred(n2)))
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4476,f174]) ).

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

fof(f4476,plain,
    ( sK2 = sum(pred(sum(n8,n11)),sum(n10,pred(sum(n8,n10))))
    | ~ spl3_11
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f4321,f531]) ).

fof(f4459,plain,
    ( ~ spl3_11
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f4458]) ).

fof(f4458,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f4457,f306]) ).

fof(f4457,plain,
    ( n11 = sK2
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4456,f182]) ).

fof(f4456,plain,
    ( sum(n9,n2) = sK2
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4455,f30]) ).

fof(f4455,plain,
    ( sK2 = sum(pred(n10),n2)
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4454,f287]) ).

fof(f4454,plain,
    ( sK2 = sum(pred(sum(n15,n11)),n2)
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4453,f204]) ).

fof(f204,plain,
    n2 = sum(n10,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f4453,plain,
    ( sK2 = sum(pred(sum(n15,n11)),sum(n10,n8))
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4452,f29]) ).

fof(f4452,plain,
    ( sK2 = sum(pred(sum(n15,n11)),sum(n10,pred(n9)))
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4451,f286]) ).

fof(f4451,plain,
    ( sK2 = sum(pred(sum(n15,n11)),sum(n10,pred(sum(n15,n10))))
    | ~ spl3_11
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f4321,f559]) ).

fof(f4436,plain,
    ( ~ spl3_11
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f4435]) ).

fof(f4435,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f4434,f310]) ).

fof(f4434,plain,
    ( n15 = sK2
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4433,f216]) ).

fof(f4433,plain,
    ( sum(n11,n4) = sK2
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4432,f32]) ).

fof(f4432,plain,
    ( sK2 = sum(pred(n12),n4)
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4431,f63]) ).

fof(f4431,plain,
    ( sK2 = sum(pred(sum(n1,n11)),n4)
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4430,f206]) ).

fof(f206,plain,
    n4 = sum(n10,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f4430,plain,
    ( sK2 = sum(pred(sum(n1,n11)),sum(n10,n10))
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4429,f31]) ).

fof(f4429,plain,
    ( sK2 = sum(pred(sum(n1,n11)),sum(n10,pred(n11)))
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f4428,f62]) ).

fof(f62,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f4428,plain,
    ( sK2 = sum(pred(sum(n1,n11)),sum(n10,pred(sum(n1,n10))))
    | ~ spl3_11
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f4321,f503]) ).

fof(f4413,plain,
    ( ~ spl3_11
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f4412]) ).

fof(f4412,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f4411,f296]) ).

fof(f4411,plain,
    ( n1 = sK2
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4410,f113]) ).

fof(f4410,plain,
    ( sum(n4,n13) = sK2
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4409,f25]) ).

fof(f4409,plain,
    ( sK2 = sum(pred(n5),n13)
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4408,f207]) ).

fof(f4408,plain,
    ( sK2 = sum(pred(sum(n10,n11)),n13)
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4407,f199]) ).

fof(f4407,plain,
    ( sK2 = sum(pred(sum(n10,n11)),sum(n10,n3))
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4406,f24]) ).

fof(f4406,plain,
    ( sK2 = sum(pred(sum(n10,n11)),sum(n10,pred(n4)))
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f4405,f206]) ).

fof(f4405,plain,
    ( sK2 = sum(pred(sum(n10,n11)),sum(n10,pred(sum(n10,n10))))
    | ~ spl3_11
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f4321,f539]) ).

fof(f4389,plain,
    ( ~ spl3_11
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f4388]) ).

fof(f4388,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f4387,f298]) ).

fof(f4387,plain,
    ( n3 = sK2
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4386,f130]) ).

fof(f4386,plain,
    ( sum(n5,n14) = sK2
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4385,f26]) ).

fof(f4385,plain,
    ( sK2 = sum(pred(n6),n14)
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4384,f223]) ).

fof(f4384,plain,
    ( sK2 = sum(pred(sum(n11,n11)),n14)
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4383,f200]) ).

fof(f4383,plain,
    ( sK2 = sum(pred(sum(n11,n11)),sum(n10,n4))
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4382,f25]) ).

fof(f4382,plain,
    ( sK2 = sum(pred(sum(n11,n11)),sum(n10,pred(n5)))
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f4381,f222]) ).

fof(f4381,plain,
    ( sK2 = sum(pred(sum(n11,n11)),sum(n10,pred(sum(n11,n10))))
    | ~ spl3_11
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f4321,f543]) ).

fof(f4367,plain,
    ( ~ spl3_11
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f4366]) ).

fof(f4366,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f4365,f298]) ).

fof(f4365,plain,
    ( n3 = sK2
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4364,f250]) ).

fof(f4364,plain,
    ( sum(n13,n6) = sK2
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4363,f34]) ).

fof(f4363,plain,
    ( sK2 = sum(pred(n14),n6)
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4362,f95]) ).

fof(f4362,plain,
    ( sK2 = sum(pred(sum(n3,n11)),n6)
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4361,f208]) ).

fof(f4361,plain,
    ( sK2 = sum(pred(sum(n3,n11)),sum(n10,n12))
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4360,f33]) ).

fof(f4360,plain,
    ( sK2 = sum(pred(sum(n3,n11)),sum(n10,pred(n13)))
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f4359,f94]) ).

fof(f4359,plain,
    ( sK2 = sum(pred(sum(n3,n11)),sum(n10,pred(sum(n3,n10))))
    | ~ spl3_11
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f4321,f511]) ).

fof(f4343,plain,
    ( ~ spl3_11
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f4342]) ).

fof(f4342,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f4341,f302]) ).

fof(f4341,plain,
    ( n7 = sK2
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4340,f148]) ).

fof(f148,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f4340,plain,
    ( sum(n7,n0) = sK2
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4339,f28]) ).

fof(f4339,plain,
    ( sK2 = sum(pred(n8),n0)
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4338,f255]) ).

fof(f4338,plain,
    ( sK2 = sum(pred(sum(n13,n11)),n0)
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4337,f202]) ).

fof(f4337,plain,
    ( sK2 = sum(pred(sum(n13,n11)),sum(n10,n6))
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4336,f27]) ).

fof(f4336,plain,
    ( sK2 = sum(pred(sum(n13,n11)),sum(n10,pred(n7)))
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f4335,f254]) ).

fof(f254,plain,
    n7 = sum(n13,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f4335,plain,
    ( sK2 = sum(pred(sum(n13,n11)),sum(n10,pred(sum(n13,n10))))
    | ~ spl3_11
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f4321,f551]) ).

fof(f4319,plain,
    ( ~ spl3_11
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f4318]) ).

fof(f4318,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f4317,f310]) ).

fof(f4317,plain,
    ( n15 = sK2
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4316,f96]) ).

fof(f4316,plain,
    ( sum(n3,n12) = sK2
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4315,f24]) ).

fof(f4315,plain,
    ( sK2 = sum(pred(n4),n12)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4314,f191]) ).

fof(f4314,plain,
    ( sK2 = sum(pred(sum(n9,n11)),n12)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4313,f14]) ).

fof(f4313,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),n12)
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4312,f198]) ).

fof(f4312,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,n2))
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4311,f23]) ).

fof(f4311,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(n3)))
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4310,f190]) ).

fof(f190,plain,
    n3 = sum(n9,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f4310,plain,
    ( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(sum(n9,n10))))
    | ~ spl3_11
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f4281,f474]) ).

fof(f4281,plain,
    ( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f294,f535]) ).

fof(f4279,plain,
    ( ~ spl3_14
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4278]) ).

fof(f4278,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4277,f299]) ).

fof(f4277,plain,
    ( n4 = sK2
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4276,f100]) ).

fof(f4276,plain,
    ( sum(n4,n0) = sK2
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4275,f25]) ).

fof(f4275,plain,
    ( sK2 = sum(pred(n5),n0)
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4274,f162]) ).

fof(f162,plain,
    n5 = sum(n7,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f4274,plain,
    ( sK2 = sum(pred(sum(n7,n14)),n0)
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4273,f17]) ).

fof(f4273,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),n0)
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4272,f247]) ).

fof(f4272,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,n3))
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4271,f24]) ).

fof(f4271,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,pred(n4)))
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4270,f161]) ).

fof(f161,plain,
    n4 = sum(n7,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f4270,plain,
    ( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,pred(sum(n7,n13))))
    | ~ spl3_14
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f486]) ).

fof(f4022,plain,
    ( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f294,f527]) ).

fof(f527,plain,
    ( n7 = sK0
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl3_24
  <=> n7 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f4254,plain,
    ( ~ spl3_13
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4253]) ).

fof(f4253,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4252,f296]) ).

fof(f4252,plain,
    ( n1 = sK2
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4251,f98]) ).

fof(f4251,plain,
    ( sum(n3,n14) = sK2
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4250,f24]) ).

fof(f4250,plain,
    ( sK2 = sum(pred(n4),n14)
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4249,f161]) ).

fof(f4249,plain,
    ( sK2 = sum(pred(sum(n7,n13)),n14)
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4248,f16]) ).

fof(f4248,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),n14)
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4247,f230]) ).

fof(f4247,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,n2))
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4246,f23]) ).

fof(f4246,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,pred(n3)))
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4245,f160]) ).

fof(f4245,plain,
    ( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,pred(sum(n7,n12))))
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f482]) ).

fof(f4229,plain,
    ( ~ spl3_11
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4228]) ).

fof(f4228,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4227,f306]) ).

fof(f4227,plain,
    ( n11 = sK2
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4226,f62]) ).

fof(f4226,plain,
    ( sum(n1,n10) = sK2
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4225,f22]) ).

fof(f4225,plain,
    ( sK2 = sum(pred(n2),n10)
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4224,f159]) ).

fof(f159,plain,
    n2 = sum(n7,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f4224,plain,
    ( sK2 = sum(pred(sum(n7,n11)),n10)
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4223,f14]) ).

fof(f4223,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),n10)
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4222,f196]) ).

fof(f4222,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,n0))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4221,f21]) ).

fof(f4221,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(n1)))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4220,f158]) ).

fof(f4220,plain,
    ( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(sum(n7,n10))))
    | ~ spl3_11
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f474]) ).

fof(f4205,plain,
    ( ~ spl3_3
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4204]) ).

fof(f4204,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4203,f298]) ).

fof(f4203,plain,
    ( n3 = sK2
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4202,f190]) ).

fof(f4202,plain,
    ( sum(n9,n10) = sK2
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4201,f30]) ).

fof(f4201,plain,
    ( sK2 = sum(pred(n10),n10)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4200,f151]) ).

fof(f4200,plain,
    ( sK2 = sum(pred(sum(n7,n3)),n10)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4199,f6]) ).

fof(f4199,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),n10)
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4198,f76]) ).

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

fof(f4198,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,n8))
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4197,f29]) ).

fof(f4197,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4196,f150]) ).

fof(f4196,plain,
    ( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
    | ~ spl3_3
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f442]) ).

fof(f4180,plain,
    ( ~ spl3_4
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4179]) ).

fof(f4179,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4178,f301]) ).

fof(f4178,plain,
    ( n6 = sK2
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4177,f208]) ).

fof(f4177,plain,
    ( sum(n10,n12) = sK2
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4176,f31]) ).

fof(f4176,plain,
    ( sK2 = sum(pred(n11),n12)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4175,f152]) ).

fof(f152,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f4175,plain,
    ( sK2 = sum(pred(sum(n7,n4)),n12)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4174,f7]) ).

fof(f4174,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),n12)
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4173,f93]) ).

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

fof(f4173,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,n9))
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4172,f30]) ).

fof(f4172,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10)))
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4171,f151]) ).

fof(f4171,plain,
    ( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3))))
    | ~ spl3_4
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f446]) ).

fof(f4156,plain,
    ( ~ spl3_5
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4155]) ).

fof(f4155,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4154,f304]) ).

fof(f4154,plain,
    ( n9 = sK2
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4153,f226]) ).

fof(f4153,plain,
    ( sum(n11,n14) = sK2
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4152,f32]) ).

fof(f4152,plain,
    ( sK2 = sum(pred(n12),n14)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4151,f153]) ).

fof(f153,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f4151,plain,
    ( sK2 = sum(pred(sum(n7,n5)),n14)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4150,f8]) ).

fof(f4150,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),n14)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4149,f110]) ).

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

fof(f4149,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4148,f31]) ).

fof(f4148,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(n11)))
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4147,f152]) ).

fof(f4147,plain,
    ( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f450]) ).

fof(f4131,plain,
    ( ~ spl3_7
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4130]) ).

fof(f4130,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4129,f310]) ).

fof(f4129,plain,
    ( n15 = sK2
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4128,f246]) ).

fof(f4128,plain,
    ( sum(n13,n2) = sK2
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4127,f34]) ).

fof(f4127,plain,
    ( sK2 = sum(pred(n14),n2)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4126,f155]) ).

fof(f155,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f4126,plain,
    ( sK2 = sum(pred(sum(n7,n7)),n2)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4125,f10]) ).

fof(f4125,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),n2)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4124,f144]) ).

fof(f4124,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,n12))
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4123,f33]) ).

fof(f4123,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(n13)))
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4122,f154]) ).

fof(f154,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f4122,plain,
    ( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6))))
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f458]) ).

fof(f4108,plain,
    ( ~ spl3_1
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4107]) ).

fof(f4107,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4106,f308]) ).

fof(f4106,plain,
    ( n13 = sK2
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4105,f154]) ).

fof(f4105,plain,
    ( sum(n7,n6) = sK2
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4104,f28]) ).

fof(f4104,plain,
    ( sK2 = sum(pred(n8),n6)
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4103,f149]) ).

fof(f4103,plain,
    ( sK2 = sum(pred(sum(n7,n1)),n6)
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4102,f4]) ).

fof(f4102,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),n6)
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4101,f42]) ).

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

fof(f4101,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4100,f27]) ).

fof(f4100,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7)))
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4099,f148]) ).

fof(f4099,plain,
    ( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0))))
    | ~ spl3_1
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f434]) ).

fof(f4084,plain,
    ( ~ spl3_6
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4083]) ).

fof(f4083,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4082,f307]) ).

fof(f4082,plain,
    ( n12 = sK2
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4081,f228]) ).

fof(f4081,plain,
    ( sum(n12,n0) = sK2
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4080,f33]) ).

fof(f4080,plain,
    ( sK2 = sum(pred(n13),n0)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4079,f154]) ).

fof(f4079,plain,
    ( sK2 = sum(pred(sum(n7,n6)),n0)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4078,f9]) ).

fof(f4078,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),n0)
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4077,f127]) ).

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

fof(f4077,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,n11))
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4076,f32]) ).

fof(f4076,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(n12)))
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4075,f153]) ).

fof(f4075,plain,
    ( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5))))
    | ~ spl3_6
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f454]) ).

fof(f4059,plain,
    ( ~ spl3_12
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f4058]) ).

fof(f4058,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f4057,f309]) ).

fof(f4057,plain,
    ( n14 = sK2
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4056,f80]) ).

fof(f4056,plain,
    ( sum(n2,n12) = sK2
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4055,f23]) ).

fof(f4055,plain,
    ( sK2 = sum(pred(n3),n12)
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4054,f160]) ).

fof(f4054,plain,
    ( sK2 = sum(pred(sum(n7,n12)),n12)
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4053,f15]) ).

fof(f4053,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),n12)
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4052,f213]) ).

fof(f4052,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,n1))
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4051,f22]) ).

fof(f4051,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(n2)))
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f4050,f159]) ).

fof(f4050,plain,
    ( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(sum(n7,n11))))
    | ~ spl3_12
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f4022,f478]) ).

fof(f4020,plain,
    ( ~ spl3_10
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f4019]) ).

fof(f4019,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f4018,f303]) ).

fof(f4018,plain,
    ( n8 = sK2
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4017,f164]) ).

fof(f4017,plain,
    ( sum(n8,n0) = sK2
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4016,f29]) ).

fof(f4016,plain,
    ( sK2 = sum(pred(n9),n0)
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4015,f286]) ).

fof(f4015,plain,
    ( sK2 = sum(pred(sum(n15,n10)),n0)
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4014,f187]) ).

fof(f4014,plain,
    ( sK2 = sum(pred(sum(n15,n10)),sum(n9,n7))
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4013,f28]) ).

fof(f4013,plain,
    ( sK2 = sum(pred(sum(n15,n10)),sum(n9,pred(n8)))
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f4012,f285]) ).

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

fof(f4012,plain,
    ( sK2 = sum(pred(sum(n15,n10)),sum(n9,pred(sum(n15,n9))))
    | ~ spl3_10
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f3786,f559]) ).

fof(f3786,plain,
    ( sK2 = sum(pred(sum(sK0,n10)),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f3785,f13]) ).

fof(f13,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f3785,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f294,f470]) ).

fof(f470,plain,
    ( n9 = sK1
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl3_10
  <=> n9 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f3996,plain,
    ( ~ spl3_10
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f3995]) ).

fof(f3995,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f3994,f309]) ).

fof(f3994,plain,
    ( n14 = sK2
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3993,f95]) ).

fof(f3993,plain,
    ( sum(n3,n11) = sK2
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3992,f24]) ).

fof(f3992,plain,
    ( sK2 = sum(pred(n4),n11)
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3991,f206]) ).

fof(f3991,plain,
    ( sK2 = sum(pred(sum(n10,n10)),n11)
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3990,f182]) ).

fof(f3990,plain,
    ( sK2 = sum(pred(sum(n10,n10)),sum(n9,n2))
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3989,f23]) ).

fof(f3989,plain,
    ( sK2 = sum(pred(sum(n10,n10)),sum(n9,pred(n3)))
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3988,f205]) ).

fof(f3988,plain,
    ( sK2 = sum(pred(sum(n10,n10)),sum(n9,pred(sum(n10,n9))))
    | ~ spl3_10
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f3786,f539]) ).

fof(f3973,plain,
    ( ~ spl3_10
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f3972]) ).

fof(f3972,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f3971,f307]) ).

fof(f3971,plain,
    ( n12 = sK2
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3970,f198]) ).

fof(f3970,plain,
    ( sum(n10,n2) = sK2
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3969,f31]) ).

fof(f3969,plain,
    ( sK2 = sum(pred(n11),n2)
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3968,f62]) ).

fof(f3968,plain,
    ( sK2 = sum(pred(sum(n1,n10)),n2)
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3967,f189]) ).

fof(f189,plain,
    n2 = sum(n9,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f3967,plain,
    ( sK2 = sum(pred(sum(n1,n10)),sum(n9,n9))
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3966,f30]) ).

fof(f3966,plain,
    ( sK2 = sum(pred(sum(n1,n10)),sum(n9,pred(n10)))
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3965,f61]) ).

fof(f61,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f3965,plain,
    ( sK2 = sum(pred(sum(n1,n10)),sum(n9,pred(sum(n1,n9))))
    | ~ spl3_10
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f3786,f503]) ).

fof(f3949,plain,
    ( ~ spl3_10
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f3948]) ).

fof(f3948,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f3947,f295]) ).

fof(f3947,plain,
    ( n0 = sK2
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3946,f232]) ).

fof(f3946,plain,
    ( sum(n12,n4) = sK2
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3945,f33]) ).

fof(f3945,plain,
    ( sK2 = sum(pred(n13),n4)
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3944,f94]) ).

fof(f3944,plain,
    ( sK2 = sum(pred(sum(n3,n10)),n4)
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3943,f191]) ).

fof(f3943,plain,
    ( sK2 = sum(pred(sum(n3,n10)),sum(n9,n11))
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3942,f32]) ).

fof(f3942,plain,
    ( sK2 = sum(pred(sum(n3,n10)),sum(n9,pred(n12)))
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3941,f93]) ).

fof(f3941,plain,
    ( sK2 = sum(pred(sum(n3,n10)),sum(n9,pred(sum(n3,n9))))
    | ~ spl3_10
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f3786,f511]) ).

fof(f3924,plain,
    ( ~ spl3_10
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f3923]) ).

fof(f3923,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f3922,f295]) ).

fof(f3922,plain,
    ( n0 = sK2
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3921,f112]) ).

fof(f3921,plain,
    ( sum(n4,n12) = sK2
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3920,f25]) ).

fof(f3920,plain,
    ( sK2 = sum(pred(n5),n12)
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3919,f222]) ).

fof(f3919,plain,
    ( sK2 = sum(pred(sum(n11,n10)),n12)
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3918,f183]) ).

fof(f3918,plain,
    ( sK2 = sum(pred(sum(n11,n10)),sum(n9,n3))
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3917,f24]) ).

fof(f3917,plain,
    ( sK2 = sum(pred(sum(n11,n10)),sum(n9,pred(n4)))
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3916,f221]) ).

fof(f3916,plain,
    ( sK2 = sum(pred(sum(n11,n10)),sum(n9,pred(sum(n11,n9))))
    | ~ spl3_10
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f3786,f543]) ).

fof(f3901,plain,
    ( ~ spl3_10
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f3900]) ).

fof(f3900,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f3899,f303]) ).

fof(f3899,plain,
    ( n8 = sK2
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3898,f44]) ).

fof(f3898,plain,
    ( sum(n0,n8) = sK2
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3897,f21]) ).

fof(f3897,plain,
    ( sK2 = sum(pred(n1),n8)
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3896,f158]) ).

fof(f3896,plain,
    ( sK2 = sum(pred(sum(n7,n10)),n8)
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3895,f195]) ).

fof(f195,plain,
    n8 = sum(n9,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f3895,plain,
    ( sK2 = sum(pred(sum(n7,n10)),sum(n9,n15))
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3894,f20]) ).

fof(f3894,plain,
    ( sK2 = sum(pred(sum(n7,n10)),sum(n9,pred(n0)))
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3893,f157]) ).

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

fof(f3893,plain,
    ( sK2 = sum(pred(sum(n7,n10)),sum(n9,pred(sum(n7,n9))))
    | ~ spl3_10
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f3786,f527]) ).

fof(f3877,plain,
    ( ~ spl3_10
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f3876]) ).

fof(f3876,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f3875,f297]) ).

fof(f3875,plain,
    ( n2 = sK2
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3874,f129]) ).

fof(f3874,plain,
    ( sum(n5,n13) = sK2
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3873,f26]) ).

fof(f3873,plain,
    ( sK2 = sum(pred(n6),n13)
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3872,f238]) ).

fof(f3872,plain,
    ( sK2 = sum(pred(sum(n12,n10)),n13)
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3871,f184]) ).

fof(f3871,plain,
    ( sK2 = sum(pred(sum(n12,n10)),sum(n9,n4))
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3870,f25]) ).

fof(f3870,plain,
    ( sK2 = sum(pred(sum(n12,n10)),sum(n9,pred(n5)))
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3869,f237]) ).

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

fof(f3869,plain,
    ( sK2 = sum(pred(sum(n12,n10)),sum(n9,pred(sum(n12,n9))))
    | ~ spl3_10
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f3786,f547]) ).

fof(f3855,plain,
    ( ~ spl3_10
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f3854]) ).

fof(f3854,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f3853,f301]) ).

fof(f3853,plain,
    ( n6 = sK2
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3852,f283]) ).

fof(f3852,plain,
    ( sum(n15,n7) = sK2
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3851,f20]) ).

fof(f3851,plain,
    ( sK2 = sum(pred(n0),n7)
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3850,f142]) ).

fof(f3850,plain,
    ( sK2 = sum(pred(sum(n6,n10)),n7)
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3849,f194]) ).

fof(f3849,plain,
    ( sK2 = sum(pred(sum(n6,n10)),sum(n9,n14))
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3848,f35]) ).

fof(f3848,plain,
    ( sK2 = sum(pred(sum(n6,n10)),sum(n9,pred(n15)))
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3847,f141]) ).

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

fof(f3847,plain,
    ( sK2 = sum(pred(sum(n6,n10)),sum(n9,pred(sum(n6,n9))))
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f3786,f523]) ).

fof(f3832,plain,
    ( ~ spl3_10
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f3831]) ).

fof(f3831,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f3830,f307]) ).

fof(f3830,plain,
    ( n12 = sK2
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3829,f78]) ).

fof(f3829,plain,
    ( sum(n2,n10) = sK2
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3828,f23]) ).

fof(f3828,plain,
    ( sK2 = sum(pred(n3),n10)
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3827,f190]) ).

fof(f3827,plain,
    ( sK2 = sum(pred(sum(n9,n10)),n10)
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3826,f181]) ).

fof(f3826,plain,
    ( sK2 = sum(pred(sum(n9,n10)),sum(n9,n1))
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3825,f22]) ).

fof(f3825,plain,
    ( sK2 = sum(pred(sum(n9,n10)),sum(n9,pred(n2)))
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3824,f189]) ).

fof(f3824,plain,
    ( sK2 = sum(pred(sum(n9,n10)),sum(n9,pred(sum(n9,n9))))
    | ~ spl3_10
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f3786,f535]) ).

fof(f3808,plain,
    ( ~ spl3_10
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f3807]) ).

fof(f3807,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f3806,f299]) ).

fof(f3806,plain,
    ( n4 = sK2
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3805,f146]) ).

fof(f3805,plain,
    ( sum(n6,n14) = sK2
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3804,f27]) ).

fof(f3804,plain,
    ( sK2 = sum(pred(n7),n14)
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3803,f254]) ).

fof(f3803,plain,
    ( sK2 = sum(pred(sum(n13,n10)),n14)
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3802,f185]) ).

fof(f3802,plain,
    ( sK2 = sum(pred(sum(n13,n10)),sum(n9,n5))
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3801,f26]) ).

fof(f3801,plain,
    ( sK2 = sum(pred(sum(n13,n10)),sum(n9,pred(n6)))
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3800,f253]) ).

fof(f3800,plain,
    ( sK2 = sum(pred(sum(n13,n10)),sum(n9,pred(sum(n13,n9))))
    | ~ spl3_10
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f3786,f551]) ).

fof(f3784,plain,
    ( ~ spl3_10
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f3783]) ).

fof(f3783,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f3782,f305]) ).

fof(f3782,plain,
    ( n10 = sK2
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3781,f61]) ).

fof(f3781,plain,
    ( sum(n1,n9) = sK2
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3780,f22]) ).

fof(f3780,plain,
    ( sK2 = sum(pred(n2),n9)
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3779,f174]) ).

fof(f3779,plain,
    ( sK2 = sum(pred(sum(n8,n10)),n9)
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3778,f13]) ).

fof(f3778,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),n9)
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3777,f180]) ).

fof(f3777,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,n0))
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3776,f21]) ).

fof(f3776,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(n1)))
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3775,f173]) ).

fof(f3775,plain,
    ( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9))))
    | ~ spl3_10
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f3746,f470]) ).

fof(f3746,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f294,f531]) ).

fof(f3744,plain,
    ( ~ spl3_3
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3743]) ).

fof(f3743,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3742,f310]) ).

fof(f3742,plain,
    ( n15 = sK2
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3741,f156]) ).

fof(f156,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f3741,plain,
    ( sum(n7,n8) = sK2
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3740,f28]) ).

fof(f3740,plain,
    ( sK2 = sum(pred(n8),n8)
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3739,f119]) ).

fof(f3739,plain,
    ( sK2 = sum(pred(sum(n5,n3)),n8)
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3738,f6]) ).

fof(f3738,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),n8)
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3737,f74]) ).

fof(f3737,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,n6))
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3736,f27]) ).

fof(f3736,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(n7)))
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3735,f118]) ).

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

fof(f3735,plain,
    ( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(sum(n5,n2))))
    | ~ spl3_3
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f442]) ).

fof(f3456,plain,
    ( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f294,f519]) ).

fof(f519,plain,
    ( n5 = sK0
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl3_22
  <=> n5 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f3720,plain,
    ( ~ spl3_1
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3719]) ).

fof(f3719,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3718,f304]) ).

fof(f3718,plain,
    ( n9 = sK2
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3717,f120]) ).

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

fof(f3717,plain,
    ( sum(n5,n4) = sK2
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3716,f26]) ).

fof(f3716,plain,
    ( sK2 = sum(pred(n6),n4)
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3715,f117]) ).

fof(f3715,plain,
    ( sK2 = sum(pred(sum(n5,n1)),n4)
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3714,f4]) ).

fof(f3714,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),n4)
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3713,f40]) ).

fof(f3713,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,n4))
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3712,f25]) ).

fof(f3712,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5)))
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3711,f116]) ).

fof(f3711,plain,
    ( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0))))
    | ~ spl3_1
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f434]) ).

fof(f3694,plain,
    ( ~ spl3_7
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3693]) ).

fof(f3693,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3692,f306]) ).

fof(f3692,plain,
    ( n11 = sK2
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3691,f212]) ).

fof(f3691,plain,
    ( sum(n11,n0) = sK2
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3690,f32]) ).

fof(f3690,plain,
    ( sK2 = sum(pred(n12),n0)
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3689,f123]) ).

fof(f3689,plain,
    ( sK2 = sum(pred(sum(n5,n7)),n0)
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3688,f10]) ).

fof(f3688,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),n0)
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3687,f142]) ).

fof(f3687,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3686,f31]) ).

fof(f3686,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(n11)))
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3685,f122]) ).

fof(f3685,plain,
    ( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6))))
    | ~ spl3_7
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f458]) ).

fof(f3670,plain,
    ( ~ spl3_4
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3669]) ).

fof(f3669,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3668,f297]) ).

fof(f3668,plain,
    ( n2 = sK2
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3667,f174]) ).

fof(f3667,plain,
    ( sum(n8,n10) = sK2
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3666,f29]) ).

fof(f3666,plain,
    ( sK2 = sum(pred(n9),n10)
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3665,f120]) ).

fof(f3665,plain,
    ( sK2 = sum(pred(sum(n5,n4)),n10)
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3664,f7]) ).

fof(f3664,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),n10)
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3663,f91]) ).

fof(f3663,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,n7))
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3662,f28]) ).

fof(f3662,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(n8)))
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3661,f119]) ).

fof(f3661,plain,
    ( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(sum(n5,n3))))
    | ~ spl3_4
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f446]) ).

fof(f3644,plain,
    ( ~ spl3_13
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3643]) ).

fof(f3643,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3642,f308]) ).

fof(f3642,plain,
    ( n13 = sK2
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3641,f64]) ).

fof(f3641,plain,
    ( sum(n1,n12) = sK2
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3640,f22]) ).

fof(f3640,plain,
    ( sK2 = sum(pred(n2),n12)
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3639,f129]) ).

fof(f3639,plain,
    ( sK2 = sum(pred(sum(n5,n13)),n12)
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3638,f16]) ).

fof(f3638,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),n12)
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3637,f228]) ).

fof(f3637,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,n0))
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3636,f21]) ).

fof(f3636,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,pred(n1)))
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3635,f128]) ).

fof(f3635,plain,
    ( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,pred(sum(n5,n12))))
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f482]) ).

fof(f3619,plain,
    ( ~ spl3_11
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3618]) ).

fof(f3618,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3617,f302]) ).

fof(f3617,plain,
    ( n7 = sK2
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3616,f284]) ).

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

fof(f3616,plain,
    ( sum(n15,n8) = sK2
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3615,f20]) ).

fof(f3615,plain,
    ( sK2 = sum(pred(n0),n8)
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3614,f127]) ).

fof(f3614,plain,
    ( sK2 = sum(pred(sum(n5,n11)),n8)
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3613,f14]) ).

fof(f3613,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),n8)
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3612,f210]) ).

fof(f3612,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,n14))
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3611,f35]) ).

fof(f3611,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(n15)))
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3610,f126]) ).

fof(f3610,plain,
    ( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(sum(n5,n10))))
    | ~ spl3_11
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f474]) ).

fof(f3594,plain,
    ( ~ spl3_10
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3593]) ).

fof(f3593,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3592,f299]) ).

fof(f3592,plain,
    ( n4 = sK2
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3591,f266]) ).

fof(f266,plain,
    n4 = sum(n14,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f3591,plain,
    ( sum(n14,n6) = sK2
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3590,f35]) ).

fof(f3590,plain,
    ( sK2 = sum(pred(n15),n6)
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3589,f126]) ).

fof(f3589,plain,
    ( sK2 = sum(pred(sum(n5,n10)),n6)
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3588,f13]) ).

fof(f3588,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),n6)
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3587,f193]) ).

fof(f3587,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,n13))
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3586,f34]) ).

fof(f3586,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(n14)))
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3585,f125]) ).

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

fof(f3585,plain,
    ( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(sum(n5,n9))))
    | ~ spl3_10
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f470]) ).

fof(f3570,plain,
    ( ~ spl3_6
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3569]) ).

fof(f3569,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3568,f303]) ).

fof(f3568,plain,
    ( n8 = sK2
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3567,f210]) ).

fof(f3567,plain,
    ( sum(n10,n14) = sK2
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3566,f31]) ).

fof(f3566,plain,
    ( sK2 = sum(pred(n11),n14)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3565,f122]) ).

fof(f3565,plain,
    ( sK2 = sum(pred(sum(n5,n6)),n14)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3564,f9]) ).

fof(f3564,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),n14)
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3563,f125]) ).

fof(f3563,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,n9))
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3562,f30]) ).

fof(f3562,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10)))
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3561,f121]) ).

fof(f3561,plain,
    ( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5))))
    | ~ spl3_6
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f454]) ).

fof(f3545,plain,
    ( ~ spl3_12
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3544]) ).

fof(f3544,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3543,f305]) ).

fof(f3543,plain,
    ( n10 = sK2
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3542,f46]) ).

fof(f3542,plain,
    ( sum(n0,n10) = sK2
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3541,f21]) ).

fof(f3541,plain,
    ( sK2 = sum(pred(n1),n10)
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3540,f128]) ).

fof(f3540,plain,
    ( sK2 = sum(pred(sum(n5,n12)),n10)
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3539,f15]) ).

fof(f3539,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),n10)
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3538,f227]) ).

fof(f3538,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,n15))
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3537,f20]) ).

fof(f3537,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,pred(n0)))
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3536,f127]) ).

fof(f3536,plain,
    ( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,pred(sum(n5,n11))))
    | ~ spl3_12
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f478]) ).

fof(f3519,plain,
    ( ~ spl3_14
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3518]) ).

fof(f3518,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3517,f295]) ).

fof(f3517,plain,
    ( n0 = sK2
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3516,f82]) ).

fof(f3516,plain,
    ( sum(n2,n14) = sK2
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3515,f23]) ).

fof(f3515,plain,
    ( sK2 = sum(pred(n3),n14)
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3514,f130]) ).

fof(f3514,plain,
    ( sK2 = sum(pred(sum(n5,n14)),n14)
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3513,f17]) ).

fof(f3513,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),n14)
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3512,f245]) ).

fof(f3512,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,n1))
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3511,f22]) ).

fof(f3511,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,pred(n2)))
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3510,f129]) ).

fof(f3510,plain,
    ( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,pred(sum(n5,n13))))
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f486]) ).

fof(f3495,plain,
    ( ~ spl3_5
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3494]) ).

fof(f3494,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3493,f300]) ).

fof(f3493,plain,
    ( n5 = sK2
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3492,f192]) ).

fof(f3492,plain,
    ( sum(n9,n12) = sK2
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3491,f30]) ).

fof(f3491,plain,
    ( sK2 = sum(pred(n10),n12)
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3490,f121]) ).

fof(f3490,plain,
    ( sK2 = sum(pred(sum(n5,n5)),n12)
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3489,f8]) ).

fof(f3489,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),n12)
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3488,f108]) ).

fof(f3488,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,n8))
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3487,f29]) ).

fof(f3487,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(n9)))
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3486,f120]) ).

fof(f3486,plain,
    ( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(sum(n5,n4))))
    | ~ spl3_5
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3456,f450]) ).

fof(f3454,plain,
    ( ~ spl3_9
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f3453]) ).

fof(f3453,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f3452,f308]) ).

fof(f3452,plain,
    ( n13 = sK2
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3451,f94]) ).

fof(f3451,plain,
    ( sum(n3,n10) = sK2
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3450,f24]) ).

fof(f3450,plain,
    ( sK2 = sum(pred(n4),n10)
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3449,f221]) ).

fof(f3449,plain,
    ( sK2 = sum(pred(sum(n11,n9)),n10)
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3448,f166]) ).

fof(f3448,plain,
    ( sK2 = sum(pred(sum(n11,n9)),sum(n8,n2))
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3447,f23]) ).

fof(f3447,plain,
    ( sK2 = sum(pred(sum(n11,n9)),sum(n8,pred(n3)))
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f3446,f220]) ).

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

fof(f3446,plain,
    ( sK2 = sum(pred(sum(n11,n9)),sum(n8,pred(sum(n11,n8))))
    | ~ spl3_9
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f3197,f543]) ).

fof(f3197,plain,
    ( sK2 = sum(pred(sum(sK0,n9)),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f3196,f12]) ).

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

fof(f3196,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f294,f466]) ).

fof(f466,plain,
    ( n8 = sK1
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl3_9
  <=> n8 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f3431,plain,
    ( ~ spl3_9
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f3430]) ).

fof(f3430,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f3429,f296]) ).

fof(f3429,plain,
    ( n1 = sK2
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3428,f248]) ).

fof(f3428,plain,
    ( sum(n13,n4) = sK2
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3427,f34]) ).

fof(f3427,plain,
    ( sK2 = sum(pred(n14),n4)
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3426,f125]) ).

fof(f3426,plain,
    ( sK2 = sum(pred(sum(n5,n9)),n4)
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3425,f176]) ).

fof(f3425,plain,
    ( sK2 = sum(pred(sum(n5,n9)),sum(n8,n12))
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3424,f33]) ).

fof(f3424,plain,
    ( sK2 = sum(pred(sum(n5,n9)),sum(n8,pred(n13)))
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f3423,f124]) ).

fof(f3423,plain,
    ( sK2 = sum(pred(sum(n5,n9)),sum(n8,pred(sum(n5,n8))))
    | ~ spl3_9
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f3197,f519]) ).

fof(f3407,plain,
    ( ~ spl3_9
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f3406]) ).

fof(f3406,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f3405,f298]) ).

fof(f3405,plain,
    ( n3 = sK2
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3404,f265]) ).

fof(f265,plain,
    n3 = sum(n14,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f3404,plain,
    ( sum(n14,n5) = sK2
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3403,f35]) ).

fof(f3403,plain,
    ( sK2 = sum(pred(n15),n5)
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3402,f141]) ).

fof(f3402,plain,
    ( sK2 = sum(pred(sum(n6,n9)),n5)
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3401,f177]) ).

fof(f3401,plain,
    ( sK2 = sum(pred(sum(n6,n9)),sum(n8,n13))
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3400,f34]) ).

fof(f3400,plain,
    ( sK2 = sum(pred(sum(n6,n9)),sum(n8,pred(n14)))
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f3399,f140]) ).

fof(f3399,plain,
    ( sK2 = sum(pred(sum(n6,n9)),sum(n8,pred(sum(n6,n8))))
    | ~ spl3_9
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f3197,f523]) ).

fof(f3382,plain,
    ( ~ spl3_9
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f3381]) ).

fof(f3381,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f3380,f300]) ).

fof(f3380,plain,
    ( n5 = sK2
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f3379,f162]) ).

fof(f3379,plain,
    ( sum(n7,n14) = sK2
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f3378,f28]) ).

fof(f3378,plain,
    ( sK2 = sum(pred(n8),n14)
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f3377,f285]) ).

fof(f3377,plain,
    ( sK2 = sum(pred(sum(n15,n9)),n14)
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f3376,f170]) ).

fof(f3376,plain,
    ( sK2 = sum(pred(sum(n15,n9)),sum(n8,n6))
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f3375,f27]) ).

fof(f3375,plain,
    ( sK2 = sum(pred(sum(n15,n9)),sum(n8,pred(n7)))
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f3374,f284]) ).

fof(f3374,plain,
    ( sK2 = sum(pred(sum(n15,n9)),sum(n8,pred(sum(n15,n8))))
    | ~ spl3_9
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f3197,f559]) ).

fof(f3358,plain,
    ( ~ spl3_9
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f3357]) ).

fof(f3357,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f3356,f306]) ).

fof(f3356,plain,
    ( n11 = sK2
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3355,f77]) ).

fof(f3355,plain,
    ( sum(n2,n9) = sK2
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3354,f23]) ).

fof(f3354,plain,
    ( sK2 = sum(pred(n3),n9)
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3353,f205]) ).

fof(f3353,plain,
    ( sK2 = sum(pred(sum(n10,n9)),n9)
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3352,f165]) ).

fof(f3352,plain,
    ( sK2 = sum(pred(sum(n10,n9)),sum(n8,n1))
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3351,f22]) ).

fof(f3351,plain,
    ( sK2 = sum(pred(sum(n10,n9)),sum(n8,pred(n2)))
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f3350,f204]) ).

fof(f3350,plain,
    ( sK2 = sum(pred(sum(n10,n9)),sum(n8,pred(sum(n10,n8))))
    | ~ spl3_9
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f3197,f539]) ).

fof(f3335,plain,
    ( ~ spl3_9
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f3334]) ).

fof(f3334,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f3333,f300]) ).

fof(f3333,plain,
    ( n5 = sK2
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3332,f282]) ).

fof(f3332,plain,
    ( sum(n15,n6) = sK2
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3331,f20]) ).

fof(f3331,plain,
    ( sK2 = sum(pred(n0),n6)
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3330,f157]) ).

fof(f3330,plain,
    ( sK2 = sum(pred(sum(n7,n9)),n6)
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3329,f178]) ).

fof(f3329,plain,
    ( sK2 = sum(pred(sum(n7,n9)),sum(n8,n14))
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3328,f35]) ).

fof(f3328,plain,
    ( sK2 = sum(pred(sum(n7,n9)),sum(n8,pred(n15)))
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f3327,f156]) ).

fof(f3327,plain,
    ( sK2 = sum(pred(sum(n7,n9)),sum(n8,pred(sum(n7,n8))))
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f3197,f527]) ).

fof(f3312,plain,
    ( ~ spl3_9
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f3311]) ).

fof(f3311,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f3310,f310]) ).

fof(f3310,plain,
    ( n15 = sK2
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3309,f111]) ).

fof(f3309,plain,
    ( sum(n4,n11) = sK2
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3308,f25]) ).

fof(f3308,plain,
    ( sK2 = sum(pred(n5),n11)
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3307,f237]) ).

fof(f3307,plain,
    ( sK2 = sum(pred(sum(n12,n9)),n11)
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3306,f167]) ).

fof(f3306,plain,
    ( sK2 = sum(pred(sum(n12,n9)),sum(n8,n3))
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3305,f24]) ).

fof(f3305,plain,
    ( sK2 = sum(pred(sum(n12,n9)),sum(n8,pred(n4)))
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f3304,f236]) ).

fof(f3304,plain,
    ( sK2 = sum(pred(sum(n12,n9)),sum(n8,pred(sum(n12,n8))))
    | ~ spl3_9
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f3197,f547]) ).

fof(f3288,plain,
    ( ~ spl3_9
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f3287]) ).

fof(f3287,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f3286,f296]) ).

fof(f3286,plain,
    ( n1 = sK2
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3285,f128]) ).

fof(f3285,plain,
    ( sum(n5,n12) = sK2
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3284,f26]) ).

fof(f3284,plain,
    ( sK2 = sum(pred(n6),n12)
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3283,f253]) ).

fof(f3283,plain,
    ( sK2 = sum(pred(sum(n13,n9)),n12)
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3282,f168]) ).

fof(f3282,plain,
    ( sK2 = sum(pred(sum(n13,n9)),sum(n8,n4))
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3281,f25]) ).

fof(f3281,plain,
    ( sK2 = sum(pred(sum(n13,n9)),sum(n8,pred(n5)))
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f3280,f252]) ).

fof(f3280,plain,
    ( sK2 = sum(pred(sum(n13,n9)),sum(n8,pred(sum(n13,n8))))
    | ~ spl3_9
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f3197,f551]) ).

fof(f3265,plain,
    ( ~ spl3_9
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

fof(f3264,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f3263,f308]) ).

fof(f3263,plain,
    ( n13 = sK2
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3262,f214]) ).

fof(f3262,plain,
    ( sum(n11,n2) = sK2
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3261,f32]) ).

fof(f3261,plain,
    ( sK2 = sum(pred(n12),n2)
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3260,f93]) ).

fof(f3260,plain,
    ( sK2 = sum(pred(sum(n3,n9)),n2)
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3259,f174]) ).

fof(f3259,plain,
    ( sK2 = sum(pred(sum(n3,n9)),sum(n8,n10))
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3258,f31]) ).

fof(f3258,plain,
    ( sK2 = sum(pred(sum(n3,n9)),sum(n8,pred(n11)))
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f3257,f92]) ).

fof(f3257,plain,
    ( sK2 = sum(pred(sum(n3,n9)),sum(n8,pred(sum(n3,n8))))
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f3197,f511]) ).

fof(f3243,plain,
    ( ~ spl3_9
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f3242]) ).

fof(f3242,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f3241,f304]) ).

fof(f3241,plain,
    ( n9 = sK2
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3240,f180]) ).

fof(f3240,plain,
    ( sum(n9,n0) = sK2
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3239,f30]) ).

fof(f3239,plain,
    ( sK2 = sum(pred(n10),n0)
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3238,f61]) ).

fof(f3238,plain,
    ( sK2 = sum(pred(sum(n1,n9)),n0)
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3237,f172]) ).

fof(f172,plain,
    n0 = sum(n8,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f3237,plain,
    ( sK2 = sum(pred(sum(n1,n9)),sum(n8,n8))
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3236,f29]) ).

fof(f3236,plain,
    ( sK2 = sum(pred(sum(n1,n9)),sum(n8,pred(n9)))
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f3235,f60]) ).

fof(f60,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f3235,plain,
    ( sK2 = sum(pred(sum(n1,n9)),sum(n8,pred(sum(n1,n8))))
    | ~ spl3_9
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f3197,f503]) ).

fof(f3219,plain,
    ( ~ spl3_9
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f3218]) ).

fof(f3218,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f3217,f304]) ).

fof(f3217,plain,
    ( n9 = sK2
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3216,f60]) ).

fof(f3216,plain,
    ( sum(n1,n8) = sK2
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3215,f22]) ).

fof(f3215,plain,
    ( sK2 = sum(pred(n2),n8)
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3214,f189]) ).

fof(f3214,plain,
    ( sK2 = sum(pred(sum(n9,n9)),n8)
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3213,f164]) ).

fof(f3213,plain,
    ( sK2 = sum(pred(sum(n9,n9)),sum(n8,n0))
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3212,f21]) ).

fof(f3212,plain,
    ( sK2 = sum(pred(sum(n9,n9)),sum(n8,pred(n1)))
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f3211,f188]) ).

fof(f3211,plain,
    ( sK2 = sum(pred(sum(n9,n9)),sum(n8,pred(sum(n9,n8))))
    | ~ spl3_9
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f3197,f535]) ).

fof(f3195,plain,
    ( ~ spl3_9
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f3194]) ).

fof(f3194,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f3193,f302]) ).

fof(f3193,plain,
    ( n7 = sK2
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3192,f43]) ).

fof(f3192,plain,
    ( sum(n0,n7) = sK2
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3191,f21]) ).

fof(f3191,plain,
    ( sK2 = sum(pred(n1),n7)
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3190,f173]) ).

fof(f3190,plain,
    ( sK2 = sum(pred(sum(n8,n9)),n7)
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3189,f12]) ).

fof(f3189,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),n7)
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3188,f179]) ).

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

fof(f3188,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,n15))
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3187,f20]) ).

fof(f3187,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(n0)))
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f3186,f172]) ).

fof(f3186,plain,
    ( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8))))
    | ~ spl3_9
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f3157,f466]) ).

fof(f3157,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f294,f531]) ).

fof(f3155,plain,
    ( ~ spl3_5
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3154]) ).

fof(f3154,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3153,f298]) ).

fof(f3153,plain,
    ( n3 = sK2
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3152,f175]) ).

fof(f3152,plain,
    ( sum(n8,n11) = sK2
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3151,f29]) ).

fof(f3151,plain,
    ( sK2 = sum(pred(n9),n11)
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3150,f105]) ).

fof(f105,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f3150,plain,
    ( sK2 = sum(pred(sum(n4,n5)),n11)
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3149,f8]) ).

fof(f3149,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),n11)
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3148,f107]) ).

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

fof(f3148,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,n7))
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3147,f28]) ).

fof(f3147,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8)))
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3146,f104]) ).

fof(f3146,plain,
    ( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4))))
    | ~ spl3_5
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f450]) ).

fof(f2845,plain,
    ( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f294,f515]) ).

fof(f515,plain,
    ( n4 = sK0
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl3_21
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f3131,plain,
    ( ~ spl3_4
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3130]) ).

fof(f3130,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3129,f295]) ).

fof(f3129,plain,
    ( n0 = sK2
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3128,f157]) ).

fof(f3128,plain,
    ( sum(n7,n9) = sK2
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3127,f28]) ).

fof(f3127,plain,
    ( sK2 = sum(pred(n8),n9)
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3126,f104]) ).

fof(f3126,plain,
    ( sK2 = sum(pred(sum(n4,n4)),n9)
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3125,f7]) ).

fof(f3125,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),n9)
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3124,f90]) ).

fof(f3124,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,n6))
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3123,f27]) ).

fof(f3123,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(n7)))
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3122,f103]) ).

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

fof(f3122,plain,
    ( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(sum(n4,n3))))
    | ~ spl3_4
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f446]) ).

fof(f3105,plain,
    ( ~ spl3_11
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3104]) ).

fof(f3104,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3103,f300]) ).

fof(f3103,plain,
    ( n5 = sK2
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3102,f267]) ).

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

fof(f3102,plain,
    ( sum(n14,n7) = sK2
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3101,f35]) ).

fof(f3101,plain,
    ( sK2 = sum(pred(n15),n7)
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3100,f111]) ).

fof(f3100,plain,
    ( sK2 = sum(pred(sum(n4,n11)),n7)
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3099,f14]) ).

fof(f3099,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),n7)
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3098,f209]) ).

fof(f3098,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,n13))
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3097,f34]) ).

fof(f3097,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(n14)))
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3096,f110]) ).

fof(f3096,plain,
    ( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(sum(n4,n10))))
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f474]) ).

fof(f3081,plain,
    ( ~ spl3_10
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3080]) ).

fof(f3080,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3079,f297]) ).

fof(f3079,plain,
    ( n2 = sK2
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3078,f249]) ).

fof(f3078,plain,
    ( sum(n13,n5) = sK2
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3077,f34]) ).

fof(f3077,plain,
    ( sK2 = sum(pred(n14),n5)
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3076,f110]) ).

fof(f3076,plain,
    ( sK2 = sum(pred(sum(n4,n10)),n5)
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3075,f13]) ).

fof(f3075,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),n5)
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3074,f192]) ).

fof(f3074,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,n12))
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3073,f33]) ).

fof(f3073,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(n13)))
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3072,f109]) ).

fof(f3072,plain,
    ( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9))))
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f470]) ).

fof(f3055,plain,
    ( ~ spl3_14
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3054]) ).

fof(f3054,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3053,f309]) ).

fof(f3053,plain,
    ( n14 = sK2
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3052,f65]) ).

fof(f3052,plain,
    ( sum(n1,n13) = sK2
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3051,f22]) ).

fof(f3051,plain,
    ( sK2 = sum(pred(n2),n13)
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3050,f114]) ).

fof(f3050,plain,
    ( sK2 = sum(pred(sum(n4,n14)),n13)
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3049,f17]) ).

fof(f3049,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),n13)
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3048,f244]) ).

fof(f3048,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,n0))
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3047,f21]) ).

fof(f3047,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,pred(n1)))
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3046,f113]) ).

fof(f3046,plain,
    ( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,pred(sum(n4,n13))))
    | ~ spl3_14
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f486]) ).

fof(f3031,plain,
    ( ~ spl3_3
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3030]) ).

fof(f3030,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3029,f308]) ).

fof(f3029,plain,
    ( n13 = sK2
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3028,f139]) ).

fof(f3028,plain,
    ( sum(n6,n7) = sK2
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3027,f27]) ).

fof(f3027,plain,
    ( sK2 = sum(pred(n7),n7)
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3026,f103]) ).

fof(f3026,plain,
    ( sK2 = sum(pred(sum(n4,n3)),n7)
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3025,f6]) ).

fof(f3025,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),n7)
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3024,f73]) ).

fof(f73,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f3024,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,n5))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3023,f26]) ).

fof(f3023,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(n6)))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3022,f102]) ).

fof(f3022,plain,
    ( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(sum(n4,n2))))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f442]) ).

fof(f3006,plain,
    ( ~ spl3_7
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f3005]) ).

fof(f3005,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f3004,f304]) ).

fof(f3004,plain,
    ( n9 = sK2
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3003,f211]) ).

fof(f3003,plain,
    ( sum(n10,n15) = sK2
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3002,f31]) ).

fof(f3002,plain,
    ( sK2 = sum(pred(n11),n15)
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3001,f107]) ).

fof(f3001,plain,
    ( sK2 = sum(pred(sum(n4,n7)),n15)
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f3000,f10]) ).

fof(f3000,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),n15)
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2999,f141]) ).

fof(f2999,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,n9))
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2998,f30]) ).

fof(f2998,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2997,f106]) ).

fof(f2997,plain,
    ( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6))))
    | ~ spl3_7
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f458]) ).

fof(f2981,plain,
    ( ~ spl3_9
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2980]) ).

fof(f2980,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2979,f310]) ).

fof(f2979,plain,
    ( n15 = sK2
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2978,f231]) ).

fof(f2978,plain,
    ( sum(n12,n3) = sK2
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2977,f33]) ).

fof(f2977,plain,
    ( sK2 = sum(pred(n13),n3)
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2976,f109]) ).

fof(f2976,plain,
    ( sK2 = sum(pred(sum(n4,n9)),n3)
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2975,f12]) ).

fof(f2975,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),n3)
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2974,f175]) ).

fof(f2974,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,n11))
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2973,f32]) ).

fof(f2973,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(n12)))
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2972,f108]) ).

fof(f2972,plain,
    ( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(sum(n4,n8))))
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f466]) ).

fof(f2955,plain,
    ( ~ spl3_12
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2954,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2953,f303]) ).

fof(f2953,plain,
    ( n8 = sK2
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2952,f285]) ).

fof(f2952,plain,
    ( sum(n15,n9) = sK2
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2951,f20]) ).

fof(f2951,plain,
    ( sK2 = sum(pred(n0),n9)
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2950,f112]) ).

fof(f2950,plain,
    ( sK2 = sum(pred(sum(n4,n12)),n9)
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2949,f15]) ).

fof(f2949,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),n9)
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2948,f226]) ).

fof(f2948,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,n14))
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2947,f35]) ).

fof(f2947,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,pred(n15)))
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2946,f111]) ).

fof(f2946,plain,
    ( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,pred(sum(n4,n11))))
    | ~ spl3_12
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f478]) ).

fof(f2931,plain,
    ( ~ spl3_6
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2930]) ).

fof(f2930,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2929,f301]) ).

fof(f2929,plain,
    ( n6 = sK2
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2928,f193]) ).

fof(f2928,plain,
    ( sum(n9,n13) = sK2
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2927,f30]) ).

fof(f2927,plain,
    ( sK2 = sum(pred(n10),n13)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2926,f106]) ).

fof(f2926,plain,
    ( sK2 = sum(pred(sum(n4,n6)),n13)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2925,f9]) ).

fof(f2925,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),n13)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2924,f124]) ).

fof(f2924,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2923,f29]) ).

fof(f2923,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9)))
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2922,f105]) ).

fof(f2922,plain,
    ( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5))))
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f454]) ).

fof(f2906,plain,
    ( ~ spl3_13
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2905]) ).

fof(f2905,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2904,f306]) ).

fof(f2904,plain,
    ( n11 = sK2
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2903,f47]) ).

fof(f2903,plain,
    ( sum(n0,n11) = sK2
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2902,f21]) ).

fof(f2902,plain,
    ( sK2 = sum(pred(n1),n11)
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2901,f113]) ).

fof(f2901,plain,
    ( sK2 = sum(pred(sum(n4,n13)),n11)
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2900,f16]) ).

fof(f2900,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),n11)
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2899,f243]) ).

fof(f2899,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,n15))
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2898,f20]) ).

fof(f2898,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(n0)))
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2897,f112]) ).

fof(f2897,plain,
    ( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(sum(n4,n12))))
    | ~ spl3_13
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f482]) ).

fof(f2883,plain,
    ( ~ spl3_1
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2882]) ).

fof(f2882,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2881,f302]) ).

fof(f2881,plain,
    ( n7 = sK2
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2880,f103]) ).

fof(f2880,plain,
    ( sum(n4,n3) = sK2
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2879,f25]) ).

fof(f2879,plain,
    ( sK2 = sum(pred(n5),n3)
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2878,f101]) ).

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

fof(f2878,plain,
    ( sK2 = sum(pred(sum(n4,n1)),n3)
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2877,f4]) ).

fof(f2877,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),n3)
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2876,f39]) ).

fof(f2876,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,n3))
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2875,f24]) ).

fof(f2875,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4)))
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2874,f100]) ).

fof(f2874,plain,
    ( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
    | ~ spl3_1
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2845,f434]) ).

fof(f2844,plain,
    ( ~ spl3_8
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f2843]) ).

fof(f2843,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f2842,f303]) ).

fof(f2842,plain,
    ( n8 = sK2
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2841,f59]) ).

fof(f2841,plain,
    ( sum(n1,n7) = sK2
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2840,f22]) ).

fof(f2840,plain,
    ( sK2 = sum(pred(n2),n7)
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2839,f204]) ).

fof(f2839,plain,
    ( sK2 = sum(pred(sum(n10,n8)),n7)
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2838,f148]) ).

fof(f2838,plain,
    ( sK2 = sum(pred(sum(n10,n8)),sum(n7,n0))
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2837,f21]) ).

fof(f2837,plain,
    ( sK2 = sum(pred(sum(n10,n8)),sum(n7,pred(n1)))
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f2836,f203]) ).

fof(f2836,plain,
    ( sK2 = sum(pred(sum(n10,n8)),sum(n7,pred(sum(n10,n7))))
    | ~ spl3_8
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f2561,f539]) ).

fof(f2561,plain,
    ( sK2 = sum(pred(sum(sK0,n8)),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f2560,f11]) ).

fof(f11,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f2560,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f294,f462]) ).

fof(f462,plain,
    ( n7 = sK1
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl3_8
  <=> n7 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f2820,plain,
    ( ~ spl3_8
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f2819]) ).

fof(f2819,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f2818,f307]) ).

fof(f2818,plain,
    ( n12 = sK2
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2817,f93]) ).

fof(f2817,plain,
    ( sum(n3,n9) = sK2
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2816,f24]) ).

fof(f2816,plain,
    ( sK2 = sum(pred(n4),n9)
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2815,f236]) ).

fof(f2815,plain,
    ( sK2 = sum(pred(sum(n12,n8)),n9)
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2814,f150]) ).

fof(f2814,plain,
    ( sK2 = sum(pred(sum(n12,n8)),sum(n7,n2))
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2813,f23]) ).

fof(f2813,plain,
    ( sK2 = sum(pred(sum(n12,n8)),sum(n7,pred(n3)))
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f2812,f235]) ).

fof(f2812,plain,
    ( sK2 = sum(pred(sum(n12,n8)),sum(n7,pred(sum(n12,n7))))
    | ~ spl3_8
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f2561,f547]) ).

fof(f2795,plain,
    ( ~ spl3_8
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f2794]) ).

fof(f2794,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f2793,f297]) ).

fof(f2793,plain,
    ( n2 = sK2
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2792,f144]) ).

fof(f2792,plain,
    ( sum(n6,n12) = sK2
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2791,f27]) ).

fof(f2791,plain,
    ( sK2 = sum(pred(n7),n12)
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2790,f284]) ).

fof(f2790,plain,
    ( sK2 = sum(pred(sum(n15,n8)),n12)
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2789,f153]) ).

fof(f2789,plain,
    ( sK2 = sum(pred(sum(n15,n8)),sum(n7,n5))
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2788,f26]) ).

fof(f2788,plain,
    ( sK2 = sum(pred(sum(n15,n8)),sum(n7,pred(n6)))
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2787,f283]) ).

fof(f2787,plain,
    ( sK2 = sum(pred(sum(n15,n8)),sum(n7,pred(sum(n15,n7))))
    | ~ spl3_8
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f2561,f559]) ).

fof(f2771,plain,
    ( ~ spl3_8
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f2770]) ).

fof(f2770,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f2769,f297]) ).

fof(f2769,plain,
    ( n2 = sK2
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2768,f264]) ).

fof(f264,plain,
    n2 = sum(n14,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f2768,plain,
    ( sum(n14,n4) = sK2
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2767,f35]) ).

fof(f2767,plain,
    ( sK2 = sum(pred(n15),n4)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2766,f156]) ).

fof(f2766,plain,
    ( sK2 = sum(pred(sum(n7,n8)),n4)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2765,f161]) ).

fof(f2765,plain,
    ( sK2 = sum(pred(sum(n7,n8)),sum(n7,n13))
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2764,f34]) ).

fof(f2764,plain,
    ( sK2 = sum(pred(sum(n7,n8)),sum(n7,pred(n14)))
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f2763,f155]) ).

fof(f2763,plain,
    ( sK2 = sum(pred(sum(n7,n8)),sum(n7,pred(sum(n7,n7))))
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f2561,f527]) ).

fof(f2748,plain,
    ( ~ spl3_8
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f2747]) ).

fof(f2747,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f2746,f309]) ).

fof(f2746,plain,
    ( n14 = sK2
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2745,f230]) ).

fof(f2745,plain,
    ( sum(n12,n2) = sK2
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2744,f33]) ).

fof(f2744,plain,
    ( sK2 = sum(pred(n13),n2)
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2743,f124]) ).

fof(f2743,plain,
    ( sK2 = sum(pred(sum(n5,n8)),n2)
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2742,f159]) ).

fof(f2742,plain,
    ( sK2 = sum(pred(sum(n5,n8)),sum(n7,n11))
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2741,f32]) ).

fof(f2741,plain,
    ( sK2 = sum(pred(sum(n5,n8)),sum(n7,pred(n12)))
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2740,f123]) ).

fof(f2740,plain,
    ( sK2 = sum(pred(sum(n5,n8)),sum(n7,pred(sum(n5,n7))))
    | ~ spl3_8
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f2561,f519]) ).

fof(f2723,plain,
    ( ~ spl3_8
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f2722]) ).

fof(f2722,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f2721,f295]) ).

fof(f2721,plain,
    ( n0 = sK2
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2720,f247]) ).

fof(f2720,plain,
    ( sum(n13,n3) = sK2
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2719,f34]) ).

fof(f2719,plain,
    ( sK2 = sum(pred(n14),n3)
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2718,f140]) ).

fof(f2718,plain,
    ( sK2 = sum(pred(sum(n6,n8)),n3)
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2717,f160]) ).

fof(f2717,plain,
    ( sK2 = sum(pred(sum(n6,n8)),sum(n7,n12))
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2716,f33]) ).

fof(f2716,plain,
    ( sK2 = sum(pred(sum(n6,n8)),sum(n7,pred(n13)))
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2715,f139]) ).

fof(f2715,plain,
    ( sK2 = sum(pred(sum(n6,n8)),sum(n7,pred(sum(n6,n7))))
    | ~ spl3_8
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f2561,f523]) ).

fof(f2700,plain,
    ( ~ spl3_8
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2699]) ).

fof(f2699,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2698,f307]) ).

fof(f2698,plain,
    ( n12 = sK2
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2697,f213]) ).

fof(f2697,plain,
    ( sum(n11,n1) = sK2
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2696,f32]) ).

fof(f2696,plain,
    ( sK2 = sum(pred(n12),n1)
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2695,f108]) ).

fof(f2695,plain,
    ( sK2 = sum(pred(sum(n4,n8)),n1)
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2694,f158]) ).

fof(f2694,plain,
    ( sK2 = sum(pred(sum(n4,n8)),sum(n7,n10))
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2693,f31]) ).

fof(f2693,plain,
    ( sK2 = sum(pred(sum(n4,n8)),sum(n7,pred(n11)))
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2692,f107]) ).

fof(f2692,plain,
    ( sK2 = sum(pred(sum(n4,n8)),sum(n7,pred(sum(n4,n7))))
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f2561,f515]) ).

fof(f2675,plain,
    ( ~ spl3_8
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f2674]) ).

fof(f2674,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f2673,f309]) ).

fof(f2673,plain,
    ( n14 = sK2
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2672,f110]) ).

fof(f2672,plain,
    ( sum(n4,n10) = sK2
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2671,f25]) ).

fof(f2671,plain,
    ( sK2 = sum(pred(n5),n10)
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2670,f252]) ).

fof(f2670,plain,
    ( sK2 = sum(pred(sum(n13,n8)),n10)
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2669,f151]) ).

fof(f2669,plain,
    ( sK2 = sum(pred(sum(n13,n8)),sum(n7,n3))
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2668,f24]) ).

fof(f2668,plain,
    ( sK2 = sum(pred(sum(n13,n8)),sum(n7,pred(n4)))
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2667,f251]) ).

fof(f2667,plain,
    ( sK2 = sum(pred(sum(n13,n8)),sum(n7,pred(sum(n13,n7))))
    | ~ spl3_8
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f2561,f551]) ).

fof(f2652,plain,
    ( ~ spl3_8
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f2651]) ).

fof(f2651,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f2650,f305]) ).

fof(f2650,plain,
    ( n10 = sK2
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2649,f76]) ).

fof(f2649,plain,
    ( sum(n2,n8) = sK2
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2648,f23]) ).

fof(f2648,plain,
    ( sK2 = sum(pred(n3),n8)
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2647,f220]) ).

fof(f2647,plain,
    ( sK2 = sum(pred(sum(n11,n8)),n8)
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2646,f149]) ).

fof(f2646,plain,
    ( sK2 = sum(pred(sum(n11,n8)),sum(n7,n1))
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2645,f22]) ).

fof(f2645,plain,
    ( sK2 = sum(pred(sum(n11,n8)),sum(n7,pred(n2)))
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f2644,f219]) ).

fof(f2644,plain,
    ( sK2 = sum(pred(sum(n11,n8)),sum(n7,pred(sum(n11,n7))))
    | ~ spl3_8
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f2561,f543]) ).

fof(f2629,plain,
    ( ~ spl3_8
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f2628]) ).

fof(f2628,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f2627,f301]) ).

fof(f2627,plain,
    ( n6 = sK2
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2626,f42]) ).

fof(f2626,plain,
    ( sum(n0,n6) = sK2
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2625,f21]) ).

fof(f2625,plain,
    ( sK2 = sum(pred(n1),n6)
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2624,f188]) ).

fof(f2624,plain,
    ( sK2 = sum(pred(sum(n9,n8)),n6)
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2623,f163]) ).

fof(f163,plain,
    n6 = sum(n7,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f2623,plain,
    ( sK2 = sum(pred(sum(n9,n8)),sum(n7,n15))
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2622,f20]) ).

fof(f2622,plain,
    ( sK2 = sum(pred(sum(n9,n8)),sum(n7,pred(n0)))
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2621,f187]) ).

fof(f2621,plain,
    ( sK2 = sum(pred(sum(n9,n8)),sum(n7,pred(sum(n9,n7))))
    | ~ spl3_8
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f2561,f535]) ).

fof(f2606,plain,
    ( ~ spl3_8
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f2605]) ).

fof(f2605,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f2604,f305]) ).

fof(f2604,plain,
    ( n10 = sK2
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2603,f196]) ).

fof(f2603,plain,
    ( sum(n10,n0) = sK2
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2602,f31]) ).

fof(f2602,plain,
    ( sK2 = sum(pred(n11),n0)
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2601,f92]) ).

fof(f2601,plain,
    ( sK2 = sum(pred(sum(n3,n8)),n0)
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2600,f157]) ).

fof(f2600,plain,
    ( sK2 = sum(pred(sum(n3,n8)),sum(n7,n9))
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2599,f30]) ).

fof(f2599,plain,
    ( sK2 = sum(pred(sum(n3,n8)),sum(n7,pred(n10)))
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2598,f91]) ).

fof(f2598,plain,
    ( sK2 = sum(pred(sum(n3,n8)),sum(n7,pred(sum(n3,n7))))
    | ~ spl3_8
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f2561,f511]) ).

fof(f2584,plain,
    ( ~ spl3_8
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f2583]) ).

fof(f2583,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f2582,f301]) ).

fof(f2582,plain,
    ( n6 = sK2
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2581,f178]) ).

fof(f2581,plain,
    ( sum(n8,n14) = sK2
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2580,f29]) ).

fof(f2580,plain,
    ( sK2 = sum(pred(n9),n14)
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2579,f60]) ).

fof(f2579,plain,
    ( sK2 = sum(pred(sum(n1,n8)),n14)
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2578,f155]) ).

fof(f2578,plain,
    ( sK2 = sum(pred(sum(n1,n8)),sum(n7,n7))
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2577,f28]) ).

fof(f2577,plain,
    ( sK2 = sum(pred(sum(n1,n8)),sum(n7,pred(n8)))
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2576,f59]) ).

fof(f2576,plain,
    ( sK2 = sum(pred(sum(n1,n8)),sum(n7,pred(sum(n1,n7))))
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f2561,f503]) ).

fof(f2559,plain,
    ( ~ spl3_8
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f2558]) ).

fof(f2558,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f2557,f299]) ).

fof(f2557,plain,
    ( n4 = sK2
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2556,f281]) ).

fof(f2556,plain,
    ( sum(n15,n5) = sK2
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2555,f20]) ).

fof(f2555,plain,
    ( sK2 = sum(pred(n0),n5)
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2554,f172]) ).

fof(f2554,plain,
    ( sK2 = sum(pred(sum(n8,n8)),n5)
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2553,f11]) ).

fof(f2553,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),n5)
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2552,f162]) ).

fof(f2552,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,n14))
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2551,f35]) ).

fof(f2551,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(n15)))
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2550,f171]) ).

fof(f2550,plain,
    ( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f2521,f462]) ).

fof(f2521,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f294,f531]) ).

fof(f2519,plain,
    ( ~ spl3_12
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2518]) ).

fof(f2518,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2517,f299]) ).

fof(f2517,plain,
    ( n4 = sK2
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2516,f251]) ).

fof(f2516,plain,
    ( sum(n13,n7) = sK2
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2515,f34]) ).

fof(f2515,plain,
    ( sK2 = sum(pred(n14),n7)
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2514,f80]) ).

fof(f2514,plain,
    ( sK2 = sum(pred(sum(n2,n12)),n7)
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2513,f15]) ).

fof(f2513,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),n7)
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2512,f224]) ).

fof(f2512,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,n12))
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2511,f33]) ).

fof(f2511,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,pred(n13)))
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2510,f79]) ).

fof(f2510,plain,
    ( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,pred(sum(n2,n11))))
    | ~ spl3_12
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f478]) ).

fof(f2184,plain,
    ( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f294,f507]) ).

fof(f507,plain,
    ( n2 = sK0
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl3_19
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f2494,plain,
    ( ~ spl3_7
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2493]) ).

fof(f2493,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2492,f300]) ).

fof(f2492,plain,
    ( n5 = sK2
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2491,f177]) ).

fof(f2491,plain,
    ( sum(n8,n13) = sK2
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2490,f29]) ).

fof(f2490,plain,
    ( sK2 = sum(pred(n9),n13)
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2489,f75]) ).

fof(f2489,plain,
    ( sK2 = sum(pred(sum(n2,n7)),n13)
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2488,f10]) ).

fof(f2488,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),n13)
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2487,f139]) ).

fof(f2487,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,n7))
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2486,f28]) ).

fof(f2486,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8)))
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2485,f74]) ).

fof(f2485,plain,
    ( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6))))
    | ~ spl3_7
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f458]) ).

fof(f2470,plain,
    ( ~ spl3_1
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2469]) ).

fof(f2469,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2468,f298]) ).

fof(f2468,plain,
    ( n3 = sK2
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2467,f69]) ).

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

fof(f2467,plain,
    ( sum(n2,n1) = sK2
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2466,f23]) ).

fof(f2466,plain,
    ( sK2 = sum(pred(n3),n1)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2465,f69]) ).

fof(f2465,plain,
    ( sK2 = sum(pred(sum(n2,n1)),n1)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2464,f4]) ).

fof(f2464,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),n1)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2463,f37]) ).

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

fof(f2463,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,n1))
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2462,f22]) ).

fof(f2462,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2)))
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2461,f68]) ).

fof(f2461,plain,
    ( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0))))
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f434]) ).

fof(f2445,plain,
    ( ~ spl3_4
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2444]) ).

fof(f2444,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2443,f307]) ).

fof(f2443,plain,
    ( n12 = sK2
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2442,f123]) ).

fof(f2442,plain,
    ( sum(n5,n7) = sK2
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2441,f26]) ).

fof(f2441,plain,
    ( sK2 = sum(pred(n6),n7)
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2440,f72]) ).

fof(f2440,plain,
    ( sK2 = sum(pred(sum(n2,n4)),n7)
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2439,f7]) ).

fof(f2439,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),n7)
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2438,f88]) ).

fof(f2438,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,n4))
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2437,f25]) ).

fof(f2437,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5)))
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2436,f71]) ).

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

fof(f2436,plain,
    ( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3))))
    | ~ spl3_4
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f446]) ).

fof(f2419,plain,
    ( ~ spl3_10
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2418]) ).

fof(f2418,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2417,f309]) ).

fof(f2417,plain,
    ( n14 = sK2
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2416,f215]) ).

fof(f2416,plain,
    ( sum(n11,n3) = sK2
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2415,f32]) ).

fof(f2415,plain,
    ( sK2 = sum(pred(n12),n3)
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2414,f78]) ).

fof(f2414,plain,
    ( sK2 = sum(pred(sum(n2,n10)),n3)
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2413,f13]) ).

fof(f2413,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),n3)
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2412,f190]) ).

fof(f2412,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,n10))
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2411,f31]) ).

fof(f2411,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(n11)))
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2410,f77]) ).

fof(f2410,plain,
    ( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9))))
    | ~ spl3_10
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f470]) ).

fof(f2395,plain,
    ( ~ spl3_5
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2394]) ).

fof(f2394,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2393,f310]) ).

fof(f2393,plain,
    ( n15 = sK2
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2392,f141]) ).

fof(f2392,plain,
    ( sum(n6,n9) = sK2
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2391,f27]) ).

fof(f2391,plain,
    ( sK2 = sum(pred(n7),n9)
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2390,f73]) ).

fof(f2390,plain,
    ( sK2 = sum(pred(sum(n2,n5)),n9)
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2389,f8]) ).

fof(f2389,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),n9)
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2388,f105]) ).

fof(f2388,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2387,f26]) ).

fof(f2387,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6)))
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2386,f72]) ).

fof(f2386,plain,
    ( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4))))
    | ~ spl3_5
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f450]) ).

fof(f2369,plain,
    ( ~ spl3_9
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2368]) ).

fof(f2368,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2367,f306]) ).

fof(f2367,plain,
    ( n11 = sK2
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2366,f197]) ).

fof(f2366,plain,
    ( sum(n10,n1) = sK2
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2365,f31]) ).

fof(f2365,plain,
    ( sK2 = sum(pred(n11),n1)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2364,f77]) ).

fof(f2364,plain,
    ( sK2 = sum(pred(sum(n2,n9)),n1)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2363,f12]) ).

fof(f2363,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),n1)
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2362,f173]) ).

fof(f2362,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,n9))
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2361,f30]) ).

fof(f2361,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10)))
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2360,f76]) ).

fof(f2360,plain,
    ( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
    | ~ spl3_9
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f466]) ).

fof(f2345,plain,
    ( ~ spl3_6
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2344]) ).

fof(f2344,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2343,f297]) ).

fof(f2343,plain,
    ( n2 = sK2
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2342,f159]) ).

fof(f2342,plain,
    ( sum(n7,n11) = sK2
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2341,f28]) ).

fof(f2341,plain,
    ( sK2 = sum(pred(n8),n11)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2340,f74]) ).

fof(f2340,plain,
    ( sK2 = sum(pred(sum(n2,n6)),n11)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2339,f9]) ).

fof(f2339,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),n11)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2338,f122]) ).

fof(f2338,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,n6))
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2337,f27]) ).

fof(f2337,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7)))
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2336,f73]) ).

fof(f2336,plain,
    ( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5))))
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f454]) ).

fof(f2319,plain,
    ( ~ spl3_14
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2318]) ).

fof(f2318,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2317,f305]) ).

fof(f2317,plain,
    ( n10 = sK2
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2316,f287]) ).

fof(f2316,plain,
    ( sum(n15,n11) = sK2
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2315,f20]) ).

fof(f2315,plain,
    ( sK2 = sum(pred(n0),n11)
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2314,f82]) ).

fof(f2314,plain,
    ( sK2 = sum(pred(sum(n2,n14)),n11)
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2313,f17]) ).

fof(f2313,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),n11)
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2312,f258]) ).

fof(f2312,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,n14))
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2311,f35]) ).

fof(f2311,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,pred(n15)))
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2310,f81]) ).

fof(f2310,plain,
    ( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,pred(sum(n2,n13))))
    | ~ spl3_14
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f486]) ).

fof(f2295,plain,
    ( ~ spl3_3
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2294]) ).

fof(f2294,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2293,f304]) ).

fof(f2293,plain,
    ( n9 = sK2
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2292,f105]) ).

fof(f2292,plain,
    ( sum(n4,n5) = sK2
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2291,f25]) ).

fof(f2291,plain,
    ( sK2 = sum(pred(n5),n5)
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2290,f71]) ).

fof(f2290,plain,
    ( sK2 = sum(pred(sum(n2,n3)),n5)
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2289,f6]) ).

fof(f2289,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),n5)
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2288,f71]) ).

fof(f2288,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,n3))
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2287,f24]) ).

fof(f2287,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4)))
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2286,f70]) ).

fof(f2286,plain,
    ( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2))))
    | ~ spl3_3
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f442]) ).

fof(f2269,plain,
    ( ~ spl3_13
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2267,f302]) ).

fof(f2267,plain,
    ( n7 = sK2
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2266,f269]) ).

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

fof(f2266,plain,
    ( sum(n14,n9) = sK2
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2265,f35]) ).

fof(f2265,plain,
    ( sK2 = sum(pred(n15),n9)
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2264,f81]) ).

fof(f2264,plain,
    ( sK2 = sum(pred(sum(n2,n13)),n9)
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2263,f16]) ).

fof(f2263,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),n9)
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2262,f241]) ).

fof(f2262,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,n13))
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2261,f34]) ).

fof(f2261,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,pred(n14)))
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2260,f80]) ).

fof(f2260,plain,
    ( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,pred(sum(n2,n12))))
    | ~ spl3_13
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f482]) ).

fof(f2246,plain,
    ( ~ spl3_8
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2245]) ).

fof(f2245,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2244,f303]) ).

fof(f2244,plain,
    ( n8 = sK2
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2243,f195]) ).

fof(f2243,plain,
    ( sum(n9,n15) = sK2
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2242,f30]) ).

fof(f2242,plain,
    ( sK2 = sum(pred(n10),n15)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2241,f76]) ).

fof(f2241,plain,
    ( sK2 = sum(pred(sum(n2,n8)),n15)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2240,f11]) ).

fof(f2240,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),n15)
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2239,f156]) ).

fof(f2239,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,n8))
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2238,f29]) ).

fof(f2238,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9)))
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2237,f75]) ).

fof(f2237,plain,
    ( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7))))
    | ~ spl3_8
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f462]) ).

fof(f2222,plain,
    ( ~ spl3_11
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f2221]) ).

fof(f2221,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f2220,f296]) ).

fof(f2220,plain,
    ( n1 = sK2
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2219,f233]) ).

fof(f2219,plain,
    ( sum(n12,n5) = sK2
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2218,f33]) ).

fof(f2218,plain,
    ( sK2 = sum(pred(n13),n5)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2217,f79]) ).

fof(f2217,plain,
    ( sK2 = sum(pred(sum(n2,n11)),n5)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2216,f14]) ).

fof(f2216,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),n5)
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2215,f207]) ).

fof(f2215,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,n11))
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2214,f32]) ).

fof(f2214,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(n12)))
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f2213,f78]) ).

fof(f2213,plain,
    ( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(sum(n2,n10))))
    | ~ spl3_11
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f2184,f474]) ).

fof(f2183,plain,
    ( ~ spl3_15
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f2182]) ).

fof(f2182,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f2181,f296]) ).

fof(f2181,plain,
    ( n1 = sK2
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2180,f83]) ).

fof(f83,plain,
    n1 = sum(n2,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f2180,plain,
    ( sum(n2,n15) = sK2
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2179,f23]) ).

fof(f2179,plain,
    ( sK2 = sum(pred(n3),n15)
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2178,f115]) ).

fof(f2178,plain,
    ( sK2 = sum(pred(sum(n4,n15)),n15)
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2177,f261]) ).

fof(f2177,plain,
    ( sK2 = sum(pred(sum(n4,n15)),sum(n14,n1))
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2176,f22]) ).

fof(f2176,plain,
    ( sK2 = sum(pred(sum(n4,n15)),sum(n14,pred(n2)))
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f2175,f114]) ).

fof(f2175,plain,
    ( sK2 = sum(pred(sum(n4,n15)),sum(n14,pred(sum(n4,n14))))
    | ~ spl3_15
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f1876,f515]) ).

fof(f1876,plain,
    ( sK2 = sum(pred(sum(sK0,n15)),sum(n14,pred(sum(sK0,n14))))
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f1875,f18]) ).

fof(f18,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f1875,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f294,f490]) ).

fof(f490,plain,
    ( n14 = sK1
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl3_15
  <=> n14 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f2158,plain,
    ( ~ spl3_15
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f2156,f302]) ).

fof(f2156,plain,
    ( n7 = sK2
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2155,f254]) ).

fof(f2155,plain,
    ( sum(n13,n10) = sK2
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2154,f34]) ).

fof(f2154,plain,
    ( sK2 = sum(pred(n14),n10)
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2153,f291]) ).

fof(f291,plain,
    n14 = sum(n15,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f2153,plain,
    ( sK2 = sum(pred(sum(n15,n15)),n10)
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2152,f272]) ).

fof(f272,plain,
    n10 = sum(n14,n12),
    inference(cnf_transformation,[],[f3]) ).

fof(f2152,plain,
    ( sK2 = sum(pred(sum(n15,n15)),sum(n14,n12))
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2151,f33]) ).

fof(f2151,plain,
    ( sK2 = sum(pred(sum(n15,n15)),sum(n14,pred(n13)))
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f2150,f290]) ).

fof(f2150,plain,
    ( sK2 = sum(pred(sum(n15,n15)),sum(n14,pred(sum(n15,n14))))
    | ~ spl3_15
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f1876,f559]) ).

fof(f2134,plain,
    ( ~ spl3_15
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f2133]) ).

fof(f2133,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f2132,f306]) ).

fof(f2132,plain,
    ( n11 = sK2
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2131,f152]) ).

fof(f2131,plain,
    ( sum(n7,n4) = sK2
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2130,f28]) ).

fof(f2130,plain,
    ( sK2 = sum(pred(n8),n4)
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2129,f195]) ).

fof(f2129,plain,
    ( sK2 = sum(pred(sum(n9,n15)),n4)
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2128,f266]) ).

fof(f2128,plain,
    ( sK2 = sum(pred(sum(n9,n15)),sum(n14,n6))
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2127,f27]) ).

fof(f2127,plain,
    ( sK2 = sum(pred(sum(n9,n15)),sum(n14,pred(n7)))
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f2126,f194]) ).

fof(f2126,plain,
    ( sK2 = sum(pred(sum(n9,n15)),sum(n14,pred(sum(n9,n14))))
    | ~ spl3_15
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f1876,f535]) ).

fof(f2110,plain,
    ( ~ spl3_15
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2109,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f2108,f300]) ).

fof(f2108,plain,
    ( n5 = sK2
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2107,f101]) ).

fof(f2107,plain,
    ( sum(n4,n1) = sK2
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2106,f25]) ).

fof(f2106,plain,
    ( sK2 = sum(pred(n5),n1)
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2105,f147]) ).

fof(f2105,plain,
    ( sK2 = sum(pred(sum(n6,n15)),n1)
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2104,f263]) ).

fof(f2104,plain,
    ( sK2 = sum(pred(sum(n6,n15)),sum(n14,n3))
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2103,f24]) ).

fof(f2103,plain,
    ( sK2 = sum(pred(sum(n6,n15)),sum(n14,pred(n4)))
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f2102,f146]) ).

fof(f2102,plain,
    ( sK2 = sum(pred(sum(n6,n15)),sum(n14,pred(sum(n6,n14))))
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f1876,f523]) ).

fof(f2086,plain,
    ( ~ spl3_15
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2085,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f2084,f310]) ).

fof(f2084,plain,
    ( n15 = sK2
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2083,f66]) ).

fof(f2083,plain,
    ( sum(n1,n14) = sK2
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2082,f22]) ).

fof(f2082,plain,
    ( sK2 = sum(pred(n2),n14)
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2081,f99]) ).

fof(f2081,plain,
    ( sK2 = sum(pred(sum(n3,n15)),n14)
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2080,f260]) ).

fof(f2080,plain,
    ( sK2 = sum(pred(sum(n3,n15)),sum(n14,n0))
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2079,f21]) ).

fof(f2079,plain,
    ( sK2 = sum(pred(sum(n3,n15)),sum(n14,pred(n1)))
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f2078,f98]) ).

fof(f2078,plain,
    ( sK2 = sum(pred(sum(n3,n15)),sum(n14,pred(sum(n3,n14))))
    | ~ spl3_15
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f1876,f511]) ).

fof(f2063,plain,
    ( ~ spl3_15
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f2062]) ).

fof(f2062,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f2061,f306]) ).

fof(f2061,plain,
    ( n11 = sK2
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2060,f288]) ).

fof(f2060,plain,
    ( sum(n15,n12) = sK2
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2059,f20]) ).

fof(f2059,plain,
    ( sK2 = sum(pred(n0),n12)
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2058,f67]) ).

fof(f67,plain,
    n0 = sum(n1,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f2058,plain,
    ( sK2 = sum(pred(sum(n1,n15)),n12)
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2057,f274]) ).

fof(f274,plain,
    n12 = sum(n14,n14),
    inference(cnf_transformation,[],[f3]) ).

fof(f2057,plain,
    ( sK2 = sum(pred(sum(n1,n15)),sum(n14,n14))
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2056,f35]) ).

fof(f2056,plain,
    ( sK2 = sum(pred(sum(n1,n15)),sum(n14,pred(n15)))
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f2055,f66]) ).

fof(f2055,plain,
    ( sK2 = sum(pred(sum(n1,n15)),sum(n14,pred(sum(n1,n14))))
    | ~ spl3_15
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f1876,f503]) ).

fof(f2039,plain,
    ( ~ spl3_15
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2038,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f2037,f298]) ).

fof(f2037,plain,
    ( n3 = sK2
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2036,f84]) ).

fof(f2036,plain,
    ( sum(n3,n0) = sK2
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2035,f24]) ).

fof(f2035,plain,
    ( sK2 = sum(pred(n4),n0)
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2034,f131]) ).

fof(f2034,plain,
    ( sK2 = sum(pred(sum(n5,n15)),n0)
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2033,f262]) ).

fof(f2033,plain,
    ( sK2 = sum(pred(sum(n5,n15)),sum(n14,n2))
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2032,f23]) ).

fof(f2032,plain,
    ( sK2 = sum(pred(sum(n5,n15)),sum(n14,pred(n3)))
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f2031,f130]) ).

fof(f2031,plain,
    ( sK2 = sum(pred(sum(n5,n15)),sum(n14,pred(sum(n5,n14))))
    | ~ spl3_15
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f1876,f519]) ).

fof(f2014,plain,
    ( ~ spl3_15
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f2013]) ).

fof(f2013,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f2012,f298]) ).

fof(f2012,plain,
    ( n3 = sK2
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2011,f220]) ).

fof(f2011,plain,
    ( sum(n11,n8) = sK2
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2010,f32]) ).

fof(f2010,plain,
    ( sK2 = sum(pred(n12),n8)
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2009,f259]) ).

fof(f2009,plain,
    ( sK2 = sum(pred(sum(n13,n15)),n8)
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2008,f270]) ).

fof(f2008,plain,
    ( sK2 = sum(pred(sum(n13,n15)),sum(n14,n10))
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2007,f31]) ).

fof(f2007,plain,
    ( sK2 = sum(pred(sum(n13,n15)),sum(n14,pred(n11)))
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f2006,f258]) ).

fof(f2006,plain,
    ( sK2 = sum(pred(sum(n13,n15)),sum(n14,pred(sum(n13,n14))))
    | ~ spl3_15
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f1876,f551]) ).

fof(f1991,plain,
    ( ~ spl3_15
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f1989,f308]) ).

fof(f1989,plain,
    ( n13 = sK2
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1988,f49]) ).

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

fof(f1988,plain,
    ( sum(n0,n13) = sK2
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1987,f21]) ).

fof(f1987,plain,
    ( sK2 = sum(pred(n1),n13)
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1986,f83]) ).

fof(f1986,plain,
    ( sK2 = sum(pred(sum(n2,n15)),n13)
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1985,f275]) ).

fof(f1985,plain,
    ( sK2 = sum(pred(sum(n2,n15)),sum(n14,n15))
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1984,f20]) ).

fof(f1984,plain,
    ( sK2 = sum(pred(sum(n2,n15)),sum(n14,pred(n0)))
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1983,f82]) ).

fof(f1983,plain,
    ( sK2 = sum(pred(sum(n2,n15)),sum(n14,pred(sum(n2,n14))))
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f1876,f507]) ).

fof(f1967,plain,
    ( ~ spl3_15
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f1965,f296]) ).

fof(f1965,plain,
    ( n1 = sK2
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1964,f203]) ).

fof(f1964,plain,
    ( sum(n10,n7) = sK2
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1963,f31]) ).

fof(f1963,plain,
    ( sK2 = sum(pred(n11),n7)
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1962,f243]) ).

fof(f1962,plain,
    ( sK2 = sum(pred(sum(n12,n15)),n7)
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1961,f269]) ).

fof(f1961,plain,
    ( sK2 = sum(pred(sum(n12,n15)),sum(n14,n9))
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1960,f30]) ).

fof(f1960,plain,
    ( sK2 = sum(pred(sum(n12,n15)),sum(n14,pred(n10)))
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1959,f242]) ).

fof(f1959,plain,
    ( sK2 = sum(pred(sum(n12,n15)),sum(n14,pred(sum(n12,n14))))
    | ~ spl3_15
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f1876,f547]) ).

fof(f1945,plain,
    ( ~ spl3_15
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f1944]) ).

fof(f1944,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f1943,f302]) ).

fof(f1943,plain,
    ( n7 = sK2
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1942,f118]) ).

fof(f1942,plain,
    ( sum(n5,n2) = sK2
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1941,f26]) ).

fof(f1941,plain,
    ( sK2 = sum(pred(n6),n2)
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1940,f163]) ).

fof(f1940,plain,
    ( sK2 = sum(pred(sum(n7,n15)),n2)
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1939,f264]) ).

fof(f1939,plain,
    ( sK2 = sum(pred(sum(n7,n15)),sum(n14,n4))
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1938,f25]) ).

fof(f1938,plain,
    ( sK2 = sum(pred(sum(n7,n15)),sum(n14,pred(n5)))
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1937,f162]) ).

fof(f1937,plain,
    ( sK2 = sum(pred(sum(n7,n15)),sum(n14,pred(sum(n7,n14))))
    | ~ spl3_15
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f1876,f527]) ).

fof(f1921,plain,
    ( ~ spl3_15
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f1920]) ).

fof(f1920,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f1919,f310]) ).

fof(f1919,plain,
    ( n15 = sK2
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1918,f186]) ).

fof(f1918,plain,
    ( sum(n9,n6) = sK2
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1917,f30]) ).

fof(f1917,plain,
    ( sK2 = sum(pred(n10),n6)
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1916,f227]) ).

fof(f1916,plain,
    ( sK2 = sum(pred(sum(n11,n15)),n6)
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1915,f268]) ).

fof(f1915,plain,
    ( sK2 = sum(pred(sum(n11,n15)),sum(n14,n8))
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1914,f29]) ).

fof(f1914,plain,
    ( sK2 = sum(pred(sum(n11,n15)),sum(n14,pred(n9)))
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1913,f226]) ).

fof(f1913,plain,
    ( sK2 = sum(pred(sum(n11,n15)),sum(n14,pred(sum(n11,n14))))
    | ~ spl3_15
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f1876,f543]) ).

fof(f1898,plain,
    ( ~ spl3_15
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f1897]) ).

fof(f1897,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f1896,f308]) ).

fof(f1896,plain,
    ( n13 = sK2
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1895,f169]) ).

fof(f1895,plain,
    ( sum(n8,n5) = sK2
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1894,f29]) ).

fof(f1894,plain,
    ( sK2 = sum(pred(n9),n5)
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1893,f211]) ).

fof(f1893,plain,
    ( sK2 = sum(pred(sum(n10,n15)),n5)
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1892,f267]) ).

fof(f1892,plain,
    ( sK2 = sum(pred(sum(n10,n15)),sum(n14,n7))
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1891,f28]) ).

fof(f1891,plain,
    ( sK2 = sum(pred(sum(n10,n15)),sum(n14,pred(n8)))
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1890,f210]) ).

fof(f1890,plain,
    ( sK2 = sum(pred(sum(n10,n15)),sum(n14,pred(sum(n10,n14))))
    | ~ spl3_15
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f1876,f539]) ).

fof(f1874,plain,
    ( ~ spl3_15
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1873,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f1872,f304]) ).

fof(f1872,plain,
    ( n9 = sK2
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1871,f135]) ).

fof(f1871,plain,
    ( sum(n6,n3) = sK2
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1870,f27]) ).

fof(f1870,plain,
    ( sK2 = sum(pred(n7),n3)
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1869,f179]) ).

fof(f1869,plain,
    ( sK2 = sum(pred(sum(n8,n15)),n3)
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1868,f18]) ).

fof(f1868,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),n3)
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1867,f265]) ).

fof(f1867,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,n5))
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1866,f26]) ).

fof(f1866,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,pred(n6)))
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1865,f178]) ).

fof(f1865,plain,
    ( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,pred(sum(n8,n14))))
    | ~ spl3_15
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f1836,f490]) ).

fof(f1836,plain,
    ( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f294,f531]) ).

fof(f1835,plain,
    ( ~ spl3_3
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1834]) ).

fof(f1834,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1833,f300]) ).

fof(f1833,plain,
    ( n5 = sK2
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1832,f71]) ).

fof(f1832,plain,
    ( sum(n2,n3) = sK2
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1831,f23]) ).

fof(f1831,plain,
    ( sK2 = sum(pred(n3),n3)
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1830,f39]) ).

fof(f1830,plain,
    ( sK2 = sum(pred(sum(n0,n3)),n3)
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1829,f6]) ).

fof(f1829,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),n3)
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1828,f69]) ).

fof(f1828,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1827,f22]) ).

fof(f1827,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2)))
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1826,f38]) ).

fof(f1826,plain,
    ( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2))))
    | ~ spl3_3
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f442]) ).

fof(f1471,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f294,f499]) ).

fof(f499,plain,
    ( n0 = sK0
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl3_17
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f1809,plain,
    ( ~ spl3_13
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1808]) ).

fof(f1808,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1807,f298]) ).

fof(f1807,plain,
    ( n3 = sK2
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1806,f235]) ).

fof(f1806,plain,
    ( sum(n12,n7) = sK2
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1805,f33]) ).

fof(f1805,plain,
    ( sK2 = sum(pred(n13),n7)
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1804,f49]) ).

fof(f1804,plain,
    ( sK2 = sum(pred(sum(n0,n13)),n7)
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1803,f16]) ).

fof(f1803,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),n7)
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1802,f239]) ).

fof(f1802,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,n11))
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1801,f32]) ).

fof(f1801,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,pred(n12)))
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1800,f48]) ).

fof(f1800,plain,
    ( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,pred(sum(n0,n12))))
    | ~ spl3_13
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f482]) ).

fof(f1785,plain,
    ( ~ spl3_4
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1783,f303]) ).

fof(f1783,plain,
    ( n8 = sK2
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1782,f89]) ).

fof(f1782,plain,
    ( sum(n3,n5) = sK2
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1781,f24]) ).

fof(f1781,plain,
    ( sK2 = sum(pred(n4),n5)
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1780,f40]) ).

fof(f1780,plain,
    ( sK2 = sum(pred(sum(n0,n4)),n5)
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1779,f7]) ).

fof(f1779,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),n5)
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1778,f86]) ).

fof(f1778,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1777,f23]) ).

fof(f1777,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3)))
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1776,f39]) ).

fof(f1776,plain,
    ( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3))))
    | ~ spl3_4
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f446]) ).

fof(f1759,plain,
    ( ~ spl3_10
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1757,f305]) ).

fof(f1757,plain,
    ( n10 = sK2
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1756,f181]) ).

fof(f1756,plain,
    ( sum(n9,n1) = sK2
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1755,f30]) ).

fof(f1755,plain,
    ( sK2 = sum(pred(n10),n1)
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1754,f46]) ).

fof(f1754,plain,
    ( sK2 = sum(pred(sum(n0,n10)),n1)
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1753,f13]) ).

fof(f1753,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),n1)
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1752,f188]) ).

fof(f1752,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1751,f29]) ).

fof(f1751,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9)))
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1750,f45]) ).

fof(f1750,plain,
    ( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9))))
    | ~ spl3_10
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f470]) ).

fof(f1735,plain,
    ( ~ spl3_7
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1734,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1733,f296]) ).

fof(f1733,plain,
    ( n1 = sK2
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1732,f143]) ).

fof(f1732,plain,
    ( sum(n6,n11) = sK2
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1731,f27]) ).

fof(f1731,plain,
    ( sK2 = sum(pred(n7),n11)
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1730,f43]) ).

fof(f1730,plain,
    ( sK2 = sum(pred(sum(n0,n7)),n11)
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1729,f10]) ).

fof(f1729,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),n11)
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1728,f137]) ).

fof(f1728,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,n5))
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1727,f26]) ).

fof(f1727,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1726,f42]) ).

fof(f1726,plain,
    ( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6))))
    | ~ spl3_7
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f458]) ).

fof(f1710,plain,
    ( ~ spl3_9
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1709,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1708,f302]) ).

fof(f1708,plain,
    ( n7 = sK2
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1707,f179]) ).

fof(f1707,plain,
    ( sum(n8,n15) = sK2
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1706,f29]) ).

fof(f1706,plain,
    ( sK2 = sum(pred(n9),n15)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1705,f45]) ).

fof(f1705,plain,
    ( sK2 = sum(pred(sum(n0,n9)),n15)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1704,f12]) ).

fof(f1704,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),n15)
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1703,f171]) ).

fof(f1703,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,n7))
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1702,f28]) ).

fof(f1702,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8)))
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1701,f44]) ).

fof(f1701,plain,
    ( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8))))
    | ~ spl3_9
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f466]) ).

fof(f1684,plain,
    ( ~ spl3_14
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1682,f301]) ).

fof(f1682,plain,
    ( n6 = sK2
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1681,f253]) ).

fof(f1681,plain,
    ( sum(n13,n9) = sK2
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1680,f34]) ).

fof(f1680,plain,
    ( sK2 = sum(pred(n14),n9)
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1679,f50]) ).

fof(f1679,plain,
    ( sK2 = sum(pred(sum(n0,n14)),n9)
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1678,f17]) ).

fof(f1678,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),n9)
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1677,f256]) ).

fof(f1677,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,n12))
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1676,f33]) ).

fof(f1676,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(n13)))
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1675,f49]) ).

fof(f1675,plain,
    ( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(sum(n0,n13))))
    | ~ spl3_14
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f486]) ).

fof(f1659,plain,
    ( ~ spl3_6
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1657,f309]) ).

fof(f1657,plain,
    ( n14 = sK2
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1656,f125]) ).

fof(f1656,plain,
    ( sum(n5,n9) = sK2
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1655,f26]) ).

fof(f1655,plain,
    ( sK2 = sum(pred(n6),n9)
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1654,f42]) ).

fof(f1654,plain,
    ( sK2 = sum(pred(sum(n0,n6)),n9)
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1653,f9]) ).

fof(f1653,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),n9)
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1652,f120]) ).

fof(f1652,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,n4))
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1651,f25]) ).

fof(f1651,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5)))
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1650,f41]) ).

fof(f1650,plain,
    ( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5))))
    | ~ spl3_6
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f454]) ).

fof(f1635,plain,
    ( ~ spl3_1
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1634]) ).

fof(f1634,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1633,f310]) ).

fof(f1633,plain,
    ( n15 = sK2
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1632,f51]) ).

fof(f51,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f1632,plain,
    ( sum(n0,n15) = sK2
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1631,f21]) ).

fof(f1631,plain,
    ( sK2 = sum(pred(n1),n15)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1630,f37]) ).

fof(f1630,plain,
    ( sK2 = sum(pred(sum(n0,n1)),n15)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1629,f4]) ).

fof(f1629,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),n15)
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1628,f51]) ).

fof(f1628,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,n15))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1627,f20]) ).

fof(f1627,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0)))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1626,f36]) ).

fof(f1626,plain,
    ( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f434]) ).

fof(f1609,plain,
    ( ~ spl3_8
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1607,f299]) ).

fof(f1607,plain,
    ( n4 = sK2
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1606,f161]) ).

fof(f1606,plain,
    ( sum(n7,n13) = sK2
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1605,f28]) ).

fof(f1605,plain,
    ( sK2 = sum(pred(n8),n13)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1604,f44]) ).

fof(f1604,plain,
    ( sK2 = sum(pred(sum(n0,n8)),n13)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1603,f11]) ).

fof(f1603,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),n13)
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1602,f154]) ).

fof(f1602,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,n6))
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1601,f27]) ).

fof(f1601,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7)))
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1600,f43]) ).

fof(f1600,plain,
    ( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7))))
    | ~ spl3_8
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f462]) ).

fof(f1585,plain,
    ( ~ spl3_5
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1583,f306]) ).

fof(f1583,plain,
    ( n11 = sK2
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1582,f107]) ).

fof(f1582,plain,
    ( sum(n4,n7) = sK2
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1581,f25]) ).

fof(f1581,plain,
    ( sK2 = sum(pred(n5),n7)
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1580,f41]) ).

fof(f1580,plain,
    ( sK2 = sum(pred(sum(n0,n5)),n7)
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1579,f8]) ).

fof(f1579,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),n7)
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1578,f103]) ).

fof(f1578,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,n3))
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1577,f24]) ).

fof(f1577,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1576,f40]) ).

fof(f1576,plain,
    ( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
    | ~ spl3_5
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f450]) ).

fof(f1559,plain,
    ( ~ spl3_15
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1558,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1557,f304]) ).

fof(f1557,plain,
    ( n9 = sK2
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1556,f271]) ).

fof(f271,plain,
    n9 = sum(n14,n11),
    inference(cnf_transformation,[],[f3]) ).

fof(f1556,plain,
    ( sum(n14,n11) = sK2
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1555,f35]) ).

fof(f1555,plain,
    ( sK2 = sum(pred(n15),n11)
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1554,f51]) ).

fof(f1554,plain,
    ( sK2 = sum(pred(sum(n0,n15)),n11)
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1553,f18]) ).

fof(f1553,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),n11)
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1552,f273]) ).

fof(f273,plain,
    n11 = sum(n14,n13),
    inference(cnf_transformation,[],[f3]) ).

fof(f1552,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,n13))
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1551,f34]) ).

fof(f1551,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,pred(n14)))
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1550,f50]) ).

fof(f1550,plain,
    ( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,pred(sum(n0,n14))))
    | ~ spl3_15
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f490]) ).

fof(f1535,plain,
    ( ~ spl3_11
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1533,f308]) ).

fof(f1533,plain,
    ( n13 = sK2
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1532,f199]) ).

fof(f1532,plain,
    ( sum(n10,n3) = sK2
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1531,f31]) ).

fof(f1531,plain,
    ( sK2 = sum(pred(n11),n3)
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1530,f47]) ).

fof(f1530,plain,
    ( sK2 = sum(pred(sum(n0,n11)),n3)
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1529,f14]) ).

fof(f1529,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),n3)
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1528,f205]) ).

fof(f1528,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,n9))
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1527,f30]) ).

fof(f1527,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10)))
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1526,f46]) ).

fof(f1526,plain,
    ( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10))))
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f474]) ).

fof(f1510,plain,
    ( ~ spl3_12
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1508,f295]) ).

fof(f1508,plain,
    ( n0 = sK2
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1507,f217]) ).

fof(f1507,plain,
    ( sum(n11,n5) = sK2
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1506,f32]) ).

fof(f1506,plain,
    ( sK2 = sum(pred(n12),n5)
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1505,f48]) ).

fof(f1505,plain,
    ( sK2 = sum(pred(sum(n0,n12)),n5)
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1504,f15]) ).

fof(f1504,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),n5)
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1503,f222]) ).

fof(f1503,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,n10))
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1502,f31]) ).

fof(f1502,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,pred(n11)))
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1501,f47]) ).

fof(f1501,plain,
    ( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11))))
    | ~ spl3_12
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1471,f478]) ).

fof(f1469,plain,
    ( ~ spl3_16
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f1467,f301]) ).

fof(f1467,plain,
    ( n6 = sK2
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1466,f238]) ).

fof(f1466,plain,
    ( sum(n12,n10) = sK2
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1465,f33]) ).

fof(f1465,plain,
    ( sK2 = sum(pred(n13),n10)
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1464,f244]) ).

fof(f1464,plain,
    ( sK2 = sum(pred(sum(n13,n0)),n10)
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1463,f287]) ).

fof(f1463,plain,
    ( sK2 = sum(pred(sum(n13,n0)),sum(n15,n11))
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1462,f32]) ).

fof(f1462,plain,
    ( sK2 = sum(pred(sum(n13,n0)),sum(n15,pred(n12)))
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f1461,f259]) ).

fof(f1461,plain,
    ( sK2 = sum(pred(sum(n13,n0)),sum(n15,pred(sum(n13,n15))))
    | ~ spl3_16
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f1115,f551]) ).

fof(f1115,plain,
    ( sK2 = sum(pred(sum(sK0,n0)),sum(n15,pred(sum(sK0,n15))))
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f1114,f19]) ).

fof(f19,plain,
    n0 = succ(n15),
    inference(cnf_transformation,[],[f3]) ).

fof(f1114,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f294,f494]) ).

fof(f494,plain,
    ( n15 = sK1
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl3_16
  <=> n15 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f1445,plain,
    ( ~ spl3_16
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f1443,f309]) ).

fof(f1443,plain,
    ( n14 = sK2
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1442,f170]) ).

fof(f1442,plain,
    ( sum(n8,n6) = sK2
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1441,f29]) ).

fof(f1441,plain,
    ( sK2 = sum(pred(n9),n6)
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1440,f180]) ).

fof(f1440,plain,
    ( sK2 = sum(pred(sum(n9,n0)),n6)
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1439,f283]) ).

fof(f1439,plain,
    ( sK2 = sum(pred(sum(n9,n0)),sum(n15,n7))
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1438,f28]) ).

fof(f1438,plain,
    ( sK2 = sum(pred(sum(n9,n0)),sum(n15,pred(n8)))
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f1437,f195]) ).

fof(f1437,plain,
    ( sK2 = sum(pred(sum(n9,n0)),sum(n15,pred(sum(n9,n15))))
    | ~ spl3_16
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f1115,f535]) ).

fof(f1422,plain,
    ( ~ spl3_16
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f1421]) ).

fof(f1421,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f1420,f297]) ).

fof(f1420,plain,
    ( n2 = sK2
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1419,f68]) ).

fof(f1419,plain,
    ( sum(n2,n0) = sK2
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1418,f23]) ).

fof(f1418,plain,
    ( sK2 = sum(pred(n3),n0)
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1417,f84]) ).

fof(f1417,plain,
    ( sK2 = sum(pred(sum(n3,n0)),n0)
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1416,f277]) ).

fof(f1416,plain,
    ( sK2 = sum(pred(sum(n3,n0)),sum(n15,n1))
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1415,f22]) ).

fof(f1415,plain,
    ( sK2 = sum(pred(sum(n3,n0)),sum(n15,pred(n2)))
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f1414,f99]) ).

fof(f1414,plain,
    ( sK2 = sum(pred(sum(n3,n0)),sum(n15,pred(sum(n3,n15))))
    | ~ spl3_16
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f1115,f511]) ).

fof(f1397,plain,
    ( ~ spl3_16
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f1396]) ).

fof(f1396,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f1395,f303]) ).

fof(f1395,plain,
    ( n8 = sK2
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1394,f119]) ).

fof(f1394,plain,
    ( sum(n5,n3) = sK2
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1393,f26]) ).

fof(f1393,plain,
    ( sK2 = sum(pred(n6),n3)
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1392,f132]) ).

fof(f1392,plain,
    ( sK2 = sum(pred(sum(n6,n0)),n3)
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1391,f280]) ).

fof(f1391,plain,
    ( sK2 = sum(pred(sum(n6,n0)),sum(n15,n4))
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1390,f25]) ).

fof(f1390,plain,
    ( sK2 = sum(pred(sum(n6,n0)),sum(n15,pred(n5)))
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1389,f147]) ).

fof(f1389,plain,
    ( sK2 = sum(pred(sum(n6,n0)),sum(n15,pred(sum(n6,n15))))
    | ~ spl3_16
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f1115,f523]) ).

fof(f1374,plain,
    ( ~ spl3_16
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f1373]) ).

fof(f1373,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f1372,f301]) ).

fof(f1372,plain,
    ( n6 = sK2
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1371,f102]) ).

fof(f1371,plain,
    ( sum(n4,n2) = sK2
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1370,f25]) ).

fof(f1370,plain,
    ( sK2 = sum(pred(n5),n2)
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1369,f116]) ).

fof(f1369,plain,
    ( sK2 = sum(pred(sum(n5,n0)),n2)
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1368,f279]) ).

fof(f1368,plain,
    ( sK2 = sum(pred(sum(n5,n0)),sum(n15,n3))
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1367,f24]) ).

fof(f1367,plain,
    ( sK2 = sum(pred(sum(n5,n0)),sum(n15,pred(n4)))
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f1366,f131]) ).

fof(f1366,plain,
    ( sK2 = sum(pred(sum(n5,n0)),sum(n15,pred(sum(n5,n15))))
    | ~ spl3_16
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f1115,f519]) ).

fof(f1349,plain,
    ( ~ spl3_16
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f1348]) ).

fof(f1348,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f1347,f297]) ).

fof(f1347,plain,
    ( n2 = sK2
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1346,f204]) ).

fof(f1346,plain,
    ( sum(n10,n8) = sK2
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1345,f31]) ).

fof(f1345,plain,
    ( sK2 = sum(pred(n11),n8)
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1344,f212]) ).

fof(f1344,plain,
    ( sK2 = sum(pred(sum(n11,n0)),n8)
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1343,f285]) ).

fof(f1343,plain,
    ( sK2 = sum(pred(sum(n11,n0)),sum(n15,n9))
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1342,f30]) ).

fof(f1342,plain,
    ( sK2 = sum(pred(sum(n11,n0)),sum(n15,pred(n10)))
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f1341,f227]) ).

fof(f1341,plain,
    ( sK2 = sum(pred(sum(n11,n0)),sum(n15,pred(sum(n11,n15))))
    | ~ spl3_16
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f1115,f543]) ).

fof(f1325,plain,
    ( ~ spl3_16
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1324,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f1323,f295]) ).

fof(f1323,plain,
    ( n0 = sK2
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1322,f187]) ).

fof(f1322,plain,
    ( sum(n9,n7) = sK2
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1321,f30]) ).

fof(f1321,plain,
    ( sK2 = sum(pred(n10),n7)
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1320,f196]) ).

fof(f1320,plain,
    ( sK2 = sum(pred(sum(n10,n0)),n7)
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1319,f284]) ).

fof(f1319,plain,
    ( sK2 = sum(pred(sum(n10,n0)),sum(n15,n8))
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1318,f29]) ).

fof(f1318,plain,
    ( sK2 = sum(pred(sum(n10,n0)),sum(n15,pred(n9)))
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1317,f211]) ).

fof(f1317,plain,
    ( sK2 = sum(pred(sum(n10,n0)),sum(n15,pred(sum(n10,n15))))
    | ~ spl3_16
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f1115,f539]) ).

fof(f1301,plain,
    ( ~ spl3_16
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f1299,f295]) ).

fof(f1299,plain,
    ( n0 = sK2
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1298,f67]) ).

fof(f1298,plain,
    ( sum(n1,n15) = sK2
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1297,f22]) ).

fof(f1297,plain,
    ( sK2 = sum(pred(n2),n15)
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1296,f68]) ).

fof(f1296,plain,
    ( sK2 = sum(pred(sum(n2,n0)),n15)
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1295,f276]) ).

fof(f1295,plain,
    ( sK2 = sum(pred(sum(n2,n0)),sum(n15,n0))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1294,f21]) ).

fof(f1294,plain,
    ( sK2 = sum(pred(sum(n2,n0)),sum(n15,pred(n1)))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f1293,f83]) ).

fof(f1293,plain,
    ( sK2 = sum(pred(sum(n2,n0)),sum(n15,pred(sum(n2,n15))))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f1115,f507]) ).

fof(f1278,plain,
    ( ~ spl3_16
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f1277]) ).

fof(f1277,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f1276,f309]) ).

fof(f1276,plain,
    ( n14 = sK2
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1275,f50]) ).

fof(f1275,plain,
    ( sum(n0,n14) = sK2
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1274,f21]) ).

fof(f1274,plain,
    ( sK2 = sum(pred(n1),n14)
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1273,f52]) ).

fof(f1273,plain,
    ( sK2 = sum(pred(sum(n1,n0)),n14)
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1272,f291]) ).

fof(f1272,plain,
    ( sK2 = sum(pred(sum(n1,n0)),sum(n15,n15))
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1271,f20]) ).

fof(f1271,plain,
    ( sK2 = sum(pred(sum(n1,n0)),sum(n15,pred(n0)))
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1270,f67]) ).

fof(f1270,plain,
    ( sK2 = sum(pred(sum(n1,n0)),sum(n15,pred(sum(n1,n15))))
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f1115,f503]) ).

fof(f1253,plain,
    ( ~ spl3_16
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1251,f305]) ).

fof(f1251,plain,
    ( n10 = sK2
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1250,f272]) ).

fof(f1250,plain,
    ( sum(n14,n12) = sK2
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1249,f35]) ).

fof(f1249,plain,
    ( sK2 = sum(pred(n15),n12)
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1248,f276]) ).

fof(f1248,plain,
    ( sK2 = sum(pred(sum(n15,n0)),n12)
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1247,f289]) ).

fof(f1247,plain,
    ( sK2 = sum(pred(sum(n15,n0)),sum(n15,n13))
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1246,f34]) ).

fof(f1246,plain,
    ( sK2 = sum(pred(sum(n15,n0)),sum(n15,pred(n14)))
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1245,f291]) ).

fof(f1245,plain,
    ( sK2 = sum(pred(sum(n15,n0)),sum(n15,pred(sum(n15,n15))))
    | ~ spl3_16
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f1115,f559]) ).

fof(f1229,plain,
    ( ~ spl3_16
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f1227,f305]) ).

fof(f1227,plain,
    ( n10 = sK2
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1226,f136]) ).

fof(f1226,plain,
    ( sum(n6,n4) = sK2
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1225,f27]) ).

fof(f1225,plain,
    ( sK2 = sum(pred(n7),n4)
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1224,f148]) ).

fof(f1224,plain,
    ( sK2 = sum(pred(sum(n7,n0)),n4)
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1223,f281]) ).

fof(f1223,plain,
    ( sK2 = sum(pred(sum(n7,n0)),sum(n15,n5))
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1222,f26]) ).

fof(f1222,plain,
    ( sK2 = sum(pred(sum(n7,n0)),sum(n15,pred(n6)))
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1221,f163]) ).

fof(f1221,plain,
    ( sK2 = sum(pred(sum(n7,n0)),sum(n15,pred(sum(n7,n15))))
    | ~ spl3_16
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f1115,f527]) ).

fof(f1207,plain,
    ( ~ spl3_16
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f1205,f307]) ).

fof(f1205,plain,
    ( n12 = sK2
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1204,f289]) ).

fof(f1204,plain,
    ( sum(n15,n13) = sK2
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1203,f20]) ).

fof(f1203,plain,
    ( sK2 = sum(pred(n0),n13)
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1202,f36]) ).

fof(f1202,plain,
    ( sK2 = sum(pred(sum(n0,n0)),n13)
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1201,f290]) ).

fof(f1201,plain,
    ( sK2 = sum(pred(sum(n0,n0)),sum(n15,n14))
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1200,f35]) ).

fof(f1200,plain,
    ( sK2 = sum(pred(sum(n0,n0)),sum(n15,pred(n15)))
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f1199,f51]) ).

fof(f1199,plain,
    ( sK2 = sum(pred(sum(n0,n0)),sum(n15,pred(sum(n0,n15))))
    | ~ spl3_16
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f1115,f499]) ).

fof(f1183,plain,
    ( ~ spl3_16
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f1182]) ).

fof(f1182,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f1181,f299]) ).

fof(f1181,plain,
    ( n4 = sK2
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1180,f221]) ).

fof(f1180,plain,
    ( sum(n11,n9) = sK2
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1179,f32]) ).

fof(f1179,plain,
    ( sK2 = sum(pred(n12),n9)
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1178,f228]) ).

fof(f1178,plain,
    ( sK2 = sum(pred(sum(n12,n0)),n9)
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1177,f286]) ).

fof(f1177,plain,
    ( sK2 = sum(pred(sum(n12,n0)),sum(n15,n10))
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1176,f31]) ).

fof(f1176,plain,
    ( sK2 = sum(pred(sum(n12,n0)),sum(n15,pred(n11)))
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1175,f243]) ).

fof(f1175,plain,
    ( sK2 = sum(pred(sum(n12,n0)),sum(n15,pred(sum(n12,n15))))
    | ~ spl3_16
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f1115,f547]) ).

fof(f1161,plain,
    ( ~ spl3_16
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f1159,f299]) ).

fof(f1159,plain,
    ( n4 = sK2
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1158,f85]) ).

fof(f1158,plain,
    ( sum(n3,n1) = sK2
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1157,f24]) ).

fof(f1157,plain,
    ( sK2 = sum(pred(n4),n1)
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1156,f100]) ).

fof(f1156,plain,
    ( sK2 = sum(pred(sum(n4,n0)),n1)
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1155,f278]) ).

fof(f1155,plain,
    ( sK2 = sum(pred(sum(n4,n0)),sum(n15,n2))
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1154,f23]) ).

fof(f1154,plain,
    ( sK2 = sum(pred(sum(n4,n0)),sum(n15,pred(n3)))
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f1153,f115]) ).

fof(f1153,plain,
    ( sK2 = sum(pred(sum(n4,n0)),sum(n15,pred(sum(n4,n15))))
    | ~ spl3_16
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f1115,f515]) ).

fof(f1138,plain,
    ( ~ spl3_16
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f1137]) ).

fof(f1137,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f1136,f307]) ).

fof(f1136,plain,
    ( n12 = sK2
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1135,f153]) ).

fof(f1135,plain,
    ( sum(n7,n5) = sK2
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1134,f28]) ).

fof(f1134,plain,
    ( sK2 = sum(pred(n8),n5)
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1133,f164]) ).

fof(f1133,plain,
    ( sK2 = sum(pred(sum(n8,n0)),n5)
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1132,f282]) ).

fof(f1132,plain,
    ( sK2 = sum(pred(sum(n8,n0)),sum(n15,n6))
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1131,f27]) ).

fof(f1131,plain,
    ( sK2 = sum(pred(sum(n8,n0)),sum(n15,pred(n7)))
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f1130,f179]) ).

fof(f1130,plain,
    ( sK2 = sum(pred(sum(n8,n0)),sum(n15,pred(sum(n8,n15))))
    | ~ spl3_16
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f1115,f531]) ).

fof(f1112,plain,
    ( ~ spl3_16
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1111]) ).

fof(f1111,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1110,f303]) ).

fof(f1110,plain,
    ( n8 = sK2
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1109,f255]) ).

fof(f1109,plain,
    ( sum(n13,n11) = sK2
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1108,f34]) ).

fof(f1108,plain,
    ( sK2 = sum(pred(n14),n11)
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1107,f260]) ).

fof(f1107,plain,
    ( sK2 = sum(pred(sum(n14,n0)),n11)
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1106,f19]) ).

fof(f1106,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),n11)
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1105,f288]) ).

fof(f1105,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,n12))
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1104,f33]) ).

fof(f1104,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(n13)))
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1103,f275]) ).

fof(f1103,plain,
    ( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(sum(n14,n15))))
    | ~ spl3_16
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f494]) ).

fof(f829,plain,
    ( sK2 = sum(pred(sum(n14,succ(sK1))),sum(sK1,pred(sum(n14,sK1))))
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f294,f555]) ).

fof(f555,plain,
    ( n14 = sK0
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl3_31
  <=> n14 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f1087,plain,
    ( ~ spl3_13
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1086,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1085,f310]) ).

fof(f1085,plain,
    ( n15 = sK2
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1084,f201]) ).

fof(f1084,plain,
    ( sum(n10,n5) = sK2
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1083,f31]) ).

fof(f1083,plain,
    ( sK2 = sum(pred(n11),n5)
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1082,f273]) ).

fof(f1082,plain,
    ( sK2 = sum(pred(sum(n14,n13)),n5)
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1081,f16]) ).

fof(f1081,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),n5)
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1080,f237]) ).

fof(f1080,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,n9))
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1079,f30]) ).

fof(f1079,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,pred(n10)))
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1078,f272]) ).

fof(f1078,plain,
    ( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,pred(sum(n14,n12))))
    | ~ spl3_13
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f482]) ).

fof(f1063,plain,
    ( ~ spl3_3
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1062,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1061,f296]) ).

fof(f1061,plain,
    ( n1 = sK2
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1060,f37]) ).

fof(f1060,plain,
    ( sum(n0,n1) = sK2
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1059,f21]) ).

fof(f1059,plain,
    ( sK2 = sum(pred(n1),n1)
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1058,f263]) ).

fof(f1058,plain,
    ( sK2 = sum(pred(sum(n14,n3)),n1)
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1057,f6]) ).

fof(f1057,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),n1)
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1056,f83]) ).

fof(f1056,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,n15))
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1055,f20]) ).

fof(f1055,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,pred(n0)))
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1054,f262]) ).

fof(f1054,plain,
    ( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,pred(sum(n14,n2))))
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f442]) ).

fof(f1041,plain,
    ( ~ spl3_1
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1039,f306]) ).

fof(f1039,plain,
    ( n11 = sK2
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1038,f273]) ).

fof(f1038,plain,
    ( sum(n14,n13) = sK2
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1037,f35]) ).

fof(f1037,plain,
    ( sK2 = sum(pred(n15),n13)
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1036,f261]) ).

fof(f1036,plain,
    ( sK2 = sum(pred(sum(n14,n1)),n13)
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1035,f4]) ).

fof(f1035,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),n13)
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1034,f49]) ).

fof(f1034,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,n13))
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1033,f34]) ).

fof(f1033,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(n14)))
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1032,f260]) ).

fof(f1032,plain,
    ( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(sum(n14,n0))))
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f434]) ).

fof(f1019,plain,
    ( ~ spl3_4
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1017,f299]) ).

fof(f1017,plain,
    ( n4 = sK2
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1016,f55]) ).

fof(f1016,plain,
    ( sum(n1,n3) = sK2
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1015,f22]) ).

fof(f1015,plain,
    ( sK2 = sum(pred(n2),n3)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1014,f264]) ).

fof(f1014,plain,
    ( sK2 = sum(pred(sum(n14,n4)),n3)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1013,f7]) ).

fof(f1013,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),n3)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1012,f84]) ).

fof(f1012,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,n0))
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1011,f21]) ).

fof(f1011,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(n1)))
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f1010,f263]) ).

fof(f1010,plain,
    ( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(sum(n14,n3))))
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f446]) ).

fof(f997,plain,
    ( ~ spl3_8
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f996,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f995,f295]) ).

fof(f995,plain,
    ( n0 = sK2
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f994,f127]) ).

fof(f994,plain,
    ( sum(n5,n11) = sK2
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f993,f26]) ).

fof(f993,plain,
    ( sK2 = sum(pred(n6),n11)
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f992,f268]) ).

fof(f992,plain,
    ( sK2 = sum(pred(sum(n14,n8)),n11)
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f991,f11]) ).

fof(f991,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),n11)
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f990,f152]) ).

fof(f990,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,n4))
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f989,f25]) ).

fof(f989,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,pred(n5)))
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f988,f267]) ).

fof(f988,plain,
    ( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,pred(sum(n14,n7))))
    | ~ spl3_8
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f462]) ).

fof(f978,plain,
    ( ~ spl3_6
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f977]) ).

fof(f977,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f976,f305]) ).

fof(f976,plain,
    ( n10 = sK2
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f975,f91]) ).

fof(f975,plain,
    ( sum(n3,n7) = sK2
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f974,f24]) ).

fof(f974,plain,
    ( sK2 = sum(pred(n4),n7)
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f973,f266]) ).

fof(f973,plain,
    ( sK2 = sum(pred(sum(n14,n6)),n7)
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f972,f9]) ).

fof(f972,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),n7)
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f971,f118]) ).

fof(f971,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,n2))
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f970,f23]) ).

fof(f970,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(n3)))
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f969,f265]) ).

fof(f969,plain,
    ( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(sum(n14,n5))))
    | ~ spl3_6
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f454]) ).

fof(f958,plain,
    ( ~ spl3_12
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f957]) ).

fof(f957,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f956,f307]) ).

fof(f956,plain,
    ( n12 = sK2
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f955,f183]) ).

fof(f955,plain,
    ( sum(n9,n3) = sK2
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f954,f30]) ).

fof(f954,plain,
    ( sK2 = sum(pred(n10),n3)
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f953,f272]) ).

fof(f953,plain,
    ( sK2 = sum(pred(sum(n14,n12)),n3)
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f952,f15]) ).

fof(f952,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),n3)
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f951,f220]) ).

fof(f951,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,n8))
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f950,f29]) ).

fof(f950,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,pred(n9)))
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f949,f271]) ).

fof(f949,plain,
    ( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,pred(sum(n14,n11))))
    | ~ spl3_12
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f478]) ).

fof(f941,plain,
    ( ~ spl3_5
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f940,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f939,f302]) ).

fof(f939,plain,
    ( n7 = sK2
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f938,f73]) ).

fof(f938,plain,
    ( sum(n2,n5) = sK2
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f937,f23]) ).

fof(f937,plain,
    ( sK2 = sum(pred(n3),n5)
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f936,f265]) ).

fof(f936,plain,
    ( sK2 = sum(pred(sum(n14,n5)),n5)
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f935,f8]) ).

fof(f935,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),n5)
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f934,f101]) ).

fof(f934,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,n1))
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f933,f22]) ).

fof(f933,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,pred(n2)))
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f932,f264]) ).

fof(f932,plain,
    ( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,pred(sum(n14,n4))))
    | ~ spl3_5
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f450]) ).

fof(f924,plain,
    ( ~ spl3_10
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f923]) ).

fof(f923,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f922,f301]) ).

fof(f922,plain,
    ( n6 = sK2
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f921,f163]) ).

fof(f921,plain,
    ( sum(n7,n15) = sK2
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f920,f28]) ).

fof(f920,plain,
    ( sK2 = sum(pred(n8),n15)
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f919,f270]) ).

fof(f919,plain,
    ( sK2 = sum(pred(sum(n14,n10)),n15)
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f918,f13]) ).

fof(f918,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),n15)
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f917,f186]) ).

fof(f917,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,n6))
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f916,f27]) ).

fof(f916,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(n7)))
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f915,f269]) ).

fof(f915,plain,
    ( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(sum(n14,n9))))
    | ~ spl3_10
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f470]) ).

fof(f907,plain,
    ( ~ spl3_15
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f906,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f905,f300]) ).

fof(f905,plain,
    ( n5 = sK2
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f904,f237]) ).

fof(f904,plain,
    ( sum(n12,n9) = sK2
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f903,f33]) ).

fof(f903,plain,
    ( sK2 = sum(pred(n13),n9)
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f902,f275]) ).

fof(f902,plain,
    ( sK2 = sum(pred(sum(n14,n15)),n9)
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f901,f18]) ).

fof(f901,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),n9)
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f900,f271]) ).

fof(f900,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,n11))
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f899,f32]) ).

fof(f899,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(n12)))
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f896,f274]) ).

fof(f896,plain,
    ( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(sum(n14,n14))))
    | ~ spl3_15
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f490]) ).

fof(f892,plain,
    ( ~ spl3_9
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f891]) ).

fof(f891,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f890,f298]) ).

fof(f890,plain,
    ( n3 = sK2
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f889,f145]) ).

fof(f889,plain,
    ( sum(n6,n13) = sK2
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f888,f27]) ).

fof(f888,plain,
    ( sK2 = sum(pred(n7),n13)
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f887,f269]) ).

fof(f887,plain,
    ( sK2 = sum(pred(sum(n14,n9)),n13)
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f886,f12]) ).

fof(f886,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),n13)
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f885,f169]) ).

fof(f885,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,n5))
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f884,f26]) ).

fof(f884,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,pred(n6)))
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f882,f268]) ).

fof(f882,plain,
    ( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,pred(sum(n14,n8))))
    | ~ spl3_9
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f466]) ).

fof(f879,plain,
    ( ~ spl3_7
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f878]) ).

fof(f878,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f877,f308]) ).

fof(f877,plain,
    ( n13 = sK2
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f876,f109]) ).

fof(f876,plain,
    ( sum(n4,n9) = sK2
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f875,f25]) ).

fof(f875,plain,
    ( sK2 = sum(pred(n5),n9)
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f874,f267]) ).

fof(f874,plain,
    ( sK2 = sum(pred(sum(n14,n7)),n9)
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f873,f10]) ).

fof(f873,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),n9)
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f872,f135]) ).

fof(f872,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,n3))
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f871,f24]) ).

fof(f871,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(n4)))
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f869,f266]) ).

fof(f869,plain,
    ( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(sum(n14,n6))))
    | ~ spl3_7
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f458]) ).

fof(f866,plain,
    ( ~ spl3_11
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f865]) ).

fof(f865,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f864,f304]) ).

fof(f864,plain,
    ( n9 = sK2
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f863,f165]) ).

fof(f863,plain,
    ( sum(n8,n1) = sK2
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f862,f29]) ).

fof(f862,plain,
    ( sK2 = sum(pred(n9),n1)
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f861,f271]) ).

fof(f861,plain,
    ( sK2 = sum(pred(sum(n14,n11)),n1)
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f860,f14]) ).

fof(f860,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),n1)
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f859,f203]) ).

fof(f859,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,n7))
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f858,f28]) ).

fof(f858,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,pred(n8)))
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f856,f270]) ).

fof(f856,plain,
    ( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,pred(sum(n14,n10))))
    | ~ spl3_11
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f474]) ).

fof(f853,plain,
    ( ~ spl3_14
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f852]) ).

fof(f852,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f851,f297]) ).

fof(f851,plain,
    ( n2 = sK2
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f850,f219]) ).

fof(f850,plain,
    ( sum(n11,n7) = sK2
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f849,f32]) ).

fof(f849,plain,
    ( sK2 = sum(pred(n12),n7)
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f848,f274]) ).

fof(f848,plain,
    ( sK2 = sum(pred(sum(n14,n14)),n7)
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f847,f17]) ).

fof(f847,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),n7)
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f846,f254]) ).

fof(f846,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,n10))
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f845,f31]) ).

fof(f845,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(n11)))
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f844,f273]) ).

fof(f844,plain,
    ( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(sum(n14,n13))))
    | ~ spl3_14
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f829,f486]) ).

fof(f827,plain,
    ( ~ spl3_2
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f826]) ).

fof(f826,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f825,f295]) ).

fof(f825,plain,
    ( n0 = sK2
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f824,f36]) ).

fof(f824,plain,
    ( sum(n0,n0) = sK2
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f823,f21]) ).

fof(f823,plain,
    ( sK2 = sum(pred(n1),n0)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f822,f278]) ).

fof(f822,plain,
    ( sK2 = sum(pred(sum(n15,n2)),n0)
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f821,f67]) ).

fof(f821,plain,
    ( sK2 = sum(pred(sum(n15,n2)),sum(n1,n15))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f820,f20]) ).

fof(f820,plain,
    ( sK2 = sum(pred(sum(n15,n2)),sum(n1,pred(n0)))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f819,f277]) ).

fof(f819,plain,
    ( sK2 = sum(pred(sum(n15,n2)),sum(n1,pred(sum(n15,n1))))
    | ~ spl3_2
    | ~ spl3_32 ),
    inference(backward_demodulation,[],[f573,f559]) ).

fof(f573,plain,
    ( sK2 = sum(pred(sum(sK0,n2)),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f572,f5]) ).

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

fof(f572,plain,
    ( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f294,f438]) ).

fof(f438,plain,
    ( n1 = sK1
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl3_2
  <=> n1 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f803,plain,
    ( ~ spl3_2
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

fof(f802,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f801,f309]) ).

fof(f801,plain,
    ( n14 = sK2
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f800,f291]) ).

fof(f800,plain,
    ( sum(n15,n15) = sK2
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f799,f20]) ).

fof(f799,plain,
    ( sK2 = sum(pred(n0),n15)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f798,f262]) ).

fof(f798,plain,
    ( sK2 = sum(pred(sum(n14,n2)),n15)
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f797,f66]) ).

fof(f797,plain,
    ( sK2 = sum(pred(sum(n14,n2)),sum(n1,n14))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f796,f35]) ).

fof(f796,plain,
    ( sK2 = sum(pred(sum(n14,n2)),sum(n1,pred(n15)))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f795,f261]) ).

fof(f795,plain,
    ( sK2 = sum(pred(sum(n14,n2)),sum(n1,pred(sum(n14,n1))))
    | ~ spl3_2
    | ~ spl3_31 ),
    inference(backward_demodulation,[],[f573,f555]) ).

fof(f780,plain,
    ( ~ spl3_2
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f779]) ).

fof(f779,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f778,f307]) ).

fof(f778,plain,
    ( n12 = sK2
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f777,f274]) ).

fof(f777,plain,
    ( sum(n14,n14) = sK2
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f776,f35]) ).

fof(f776,plain,
    ( sK2 = sum(pred(n15),n14)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f775,f246]) ).

fof(f775,plain,
    ( sK2 = sum(pred(sum(n13,n2)),n14)
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f774,f65]) ).

fof(f774,plain,
    ( sK2 = sum(pred(sum(n13,n2)),sum(n1,n13))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f773,f34]) ).

fof(f773,plain,
    ( sK2 = sum(pred(sum(n13,n2)),sum(n1,pred(n14)))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f772,f245]) ).

fof(f772,plain,
    ( sK2 = sum(pred(sum(n13,n2)),sum(n1,pred(sum(n13,n1))))
    | ~ spl3_2
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f573,f551]) ).

fof(f758,plain,
    ( ~ spl3_2
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f756,f305]) ).

fof(f756,plain,
    ( n10 = sK2
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f755,f257]) ).

fof(f755,plain,
    ( sum(n13,n13) = sK2
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f754,f34]) ).

fof(f754,plain,
    ( sK2 = sum(pred(n14),n13)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f753,f230]) ).

fof(f753,plain,
    ( sK2 = sum(pred(sum(n12,n2)),n13)
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f752,f64]) ).

fof(f752,plain,
    ( sK2 = sum(pred(sum(n12,n2)),sum(n1,n12))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f751,f33]) ).

fof(f751,plain,
    ( sK2 = sum(pred(sum(n12,n2)),sum(n1,pred(n13)))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f750,f229]) ).

fof(f750,plain,
    ( sK2 = sum(pred(sum(n12,n2)),sum(n1,pred(sum(n12,n1))))
    | ~ spl3_2
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f573,f547]) ).

fof(f737,plain,
    ( ~ spl3_2
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f736]) ).

fof(f736,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f735,f303]) ).

fof(f735,plain,
    ( n8 = sK2
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f734,f240]) ).

fof(f734,plain,
    ( sum(n12,n12) = sK2
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f733,f33]) ).

fof(f733,plain,
    ( sK2 = sum(pred(n13),n12)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f732,f214]) ).

fof(f732,plain,
    ( sK2 = sum(pred(sum(n11,n2)),n12)
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f731,f63]) ).

fof(f731,plain,
    ( sK2 = sum(pred(sum(n11,n2)),sum(n1,n11))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f730,f32]) ).

fof(f730,plain,
    ( sK2 = sum(pred(sum(n11,n2)),sum(n1,pred(n12)))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(forward_demodulation,[],[f729,f213]) ).

fof(f729,plain,
    ( sK2 = sum(pred(sum(n11,n2)),sum(n1,pred(sum(n11,n1))))
    | ~ spl3_2
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f573,f543]) ).

fof(f717,plain,
    ( ~ spl3_2
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f715,f301]) ).

fof(f715,plain,
    ( n6 = sK2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f714,f223]) ).

fof(f714,plain,
    ( sum(n11,n11) = sK2
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f713,f32]) ).

fof(f713,plain,
    ( sK2 = sum(pred(n12),n11)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f712,f198]) ).

fof(f712,plain,
    ( sK2 = sum(pred(sum(n10,n2)),n11)
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f711,f62]) ).

fof(f711,plain,
    ( sK2 = sum(pred(sum(n10,n2)),sum(n1,n10))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f710,f31]) ).

fof(f710,plain,
    ( sK2 = sum(pred(sum(n10,n2)),sum(n1,pred(n11)))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f709,f197]) ).

fof(f709,plain,
    ( sK2 = sum(pred(sum(n10,n2)),sum(n1,pred(sum(n10,n1))))
    | ~ spl3_2
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f573,f539]) ).

fof(f698,plain,
    ( ~ spl3_2
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f697]) ).

fof(f697,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f696,f299]) ).

fof(f696,plain,
    ( n4 = sK2
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f695,f206]) ).

fof(f695,plain,
    ( sum(n10,n10) = sK2
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f694,f31]) ).

fof(f694,plain,
    ( sK2 = sum(pred(n11),n10)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f693,f182]) ).

fof(f693,plain,
    ( sK2 = sum(pred(sum(n9,n2)),n10)
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f692,f61]) ).

fof(f692,plain,
    ( sK2 = sum(pred(sum(n9,n2)),sum(n1,n9))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f691,f30]) ).

fof(f691,plain,
    ( sK2 = sum(pred(sum(n9,n2)),sum(n1,pred(n10)))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f690,f181]) ).

fof(f690,plain,
    ( sK2 = sum(pred(sum(n9,n2)),sum(n1,pred(sum(n9,n1))))
    | ~ spl3_2
    | ~ spl3_26 ),
    inference(backward_demodulation,[],[f573,f535]) ).

fof(f680,plain,
    ( ~ spl3_2
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f679]) ).

fof(f679,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f678,f297]) ).

fof(f678,plain,
    ( n2 = sK2
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f677,f189]) ).

fof(f677,plain,
    ( sum(n9,n9) = sK2
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f676,f30]) ).

fof(f676,plain,
    ( sK2 = sum(pred(n10),n9)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f675,f166]) ).

fof(f675,plain,
    ( sK2 = sum(pred(sum(n8,n2)),n9)
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f674,f60]) ).

fof(f674,plain,
    ( sK2 = sum(pred(sum(n8,n2)),sum(n1,n8))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f673,f29]) ).

fof(f673,plain,
    ( sK2 = sum(pred(sum(n8,n2)),sum(n1,pred(n9)))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f672,f165]) ).

fof(f672,plain,
    ( sK2 = sum(pred(sum(n8,n2)),sum(n1,pred(sum(n8,n1))))
    | ~ spl3_2
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f573,f531]) ).

fof(f663,plain,
    ( ~ spl3_2
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f662]) ).

fof(f662,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f661,f295]) ).

fof(f661,plain,
    ( n0 = sK2
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f660,f172]) ).

fof(f660,plain,
    ( sum(n8,n8) = sK2
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f659,f29]) ).

fof(f659,plain,
    ( sK2 = sum(pred(n9),n8)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f658,f150]) ).

fof(f658,plain,
    ( sK2 = sum(pred(sum(n7,n2)),n8)
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f657,f59]) ).

fof(f657,plain,
    ( sK2 = sum(pred(sum(n7,n2)),sum(n1,n7))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f656,f28]) ).

fof(f656,plain,
    ( sK2 = sum(pred(sum(n7,n2)),sum(n1,pred(n8)))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f655,f149]) ).

fof(f655,plain,
    ( sK2 = sum(pred(sum(n7,n2)),sum(n1,pred(sum(n7,n1))))
    | ~ spl3_2
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f573,f527]) ).

fof(f647,plain,
    ( ~ spl3_2
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f646]) ).

fof(f646,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f645,f309]) ).

fof(f645,plain,
    ( n14 = sK2
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f644,f155]) ).

fof(f644,plain,
    ( sum(n7,n7) = sK2
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f643,f28]) ).

fof(f643,plain,
    ( sK2 = sum(pred(n8),n7)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f642,f134]) ).

fof(f642,plain,
    ( sK2 = sum(pred(sum(n6,n2)),n7)
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f641,f58]) ).

fof(f641,plain,
    ( sK2 = sum(pred(sum(n6,n2)),sum(n1,n6))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f640,f27]) ).

fof(f640,plain,
    ( sK2 = sum(pred(sum(n6,n2)),sum(n1,pred(n7)))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f634,f133]) ).

fof(f634,plain,
    ( sK2 = sum(pred(sum(n6,n2)),sum(n1,pred(sum(n6,n1))))
    | ~ spl3_2
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f573,f523]) ).

fof(f632,plain,
    ( ~ spl3_2
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f631]) ).

fof(f631,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f630,f307]) ).

fof(f630,plain,
    ( n12 = sK2
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f629,f138]) ).

fof(f629,plain,
    ( sum(n6,n6) = sK2
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f628,f27]) ).

fof(f628,plain,
    ( sK2 = sum(pred(n7),n6)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f627,f118]) ).

fof(f627,plain,
    ( sK2 = sum(pred(sum(n5,n2)),n6)
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f626,f57]) ).

fof(f626,plain,
    ( sK2 = sum(pred(sum(n5,n2)),sum(n1,n5))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f625,f26]) ).

fof(f625,plain,
    ( sK2 = sum(pred(sum(n5,n2)),sum(n1,pred(n6)))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f620,f117]) ).

fof(f620,plain,
    ( sK2 = sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1))))
    | ~ spl3_2
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f573,f519]) ).

fof(f618,plain,
    ( ~ spl3_2
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f617]) ).

fof(f617,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f616,f305]) ).

fof(f616,plain,
    ( n10 = sK2
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f615,f121]) ).

fof(f615,plain,
    ( sum(n5,n5) = sK2
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f614,f26]) ).

fof(f614,plain,
    ( sK2 = sum(pred(n6),n5)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f613,f102]) ).

fof(f613,plain,
    ( sK2 = sum(pred(sum(n4,n2)),n5)
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f612,f56]) ).

fof(f612,plain,
    ( sK2 = sum(pred(sum(n4,n2)),sum(n1,n4))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f611,f25]) ).

fof(f611,plain,
    ( sK2 = sum(pred(sum(n4,n2)),sum(n1,pred(n5)))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f607,f101]) ).

fof(f607,plain,
    ( sK2 = sum(pred(sum(n4,n2)),sum(n1,pred(sum(n4,n1))))
    | ~ spl3_2
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f573,f515]) ).

fof(f605,plain,
    ( ~ spl3_2
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f603,f303]) ).

fof(f603,plain,
    ( n8 = sK2
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f602,f104]) ).

fof(f602,plain,
    ( sum(n4,n4) = sK2
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f601,f25]) ).

fof(f601,plain,
    ( sK2 = sum(pred(n5),n4)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f600,f86]) ).

fof(f600,plain,
    ( sK2 = sum(pred(sum(n3,n2)),n4)
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f599,f55]) ).

fof(f599,plain,
    ( sK2 = sum(pred(sum(n3,n2)),sum(n1,n3))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f598,f24]) ).

fof(f598,plain,
    ( sK2 = sum(pred(sum(n3,n2)),sum(n1,pred(n4)))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f595,f85]) ).

fof(f595,plain,
    ( sK2 = sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1))))
    | ~ spl3_2
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f573,f511]) ).

fof(f593,plain,
    ( ~ spl3_2
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f592]) ).

fof(f592,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f591,f301]) ).

fof(f591,plain,
    ( n6 = sK2
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f590,f87]) ).

fof(f590,plain,
    ( sum(n3,n3) = sK2
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f589,f24]) ).

fof(f589,plain,
    ( sK2 = sum(pred(n4),n3)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f588,f70]) ).

fof(f588,plain,
    ( sK2 = sum(pred(sum(n2,n2)),n3)
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f587,f54]) ).

fof(f587,plain,
    ( sK2 = sum(pred(sum(n2,n2)),sum(n1,n2))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f586,f23]) ).

fof(f586,plain,
    ( sK2 = sum(pred(sum(n2,n2)),sum(n1,pred(n3)))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f584,f69]) ).

fof(f584,plain,
    ( sK2 = sum(pred(sum(n2,n2)),sum(n1,pred(sum(n2,n1))))
    | ~ spl3_2
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f573,f507]) ).

fof(f582,plain,
    ( ~ spl3_2
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f581]) ).

fof(f581,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f580,f299]) ).

fof(f580,plain,
    ( n4 = sK2
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f579,f70]) ).

fof(f579,plain,
    ( sum(n2,n2) = sK2
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f578,f23]) ).

fof(f578,plain,
    ( sK2 = sum(pred(n3),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f577,f54]) ).

fof(f577,plain,
    ( sK2 = sum(pred(sum(n1,n2)),n2)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f576,f53]) ).

fof(f576,plain,
    ( sK2 = sum(pred(sum(n1,n2)),sum(n1,n1))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f575,f22]) ).

fof(f575,plain,
    ( sK2 = sum(pred(sum(n1,n2)),sum(n1,pred(n2)))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f574,f53]) ).

fof(f574,plain,
    ( sK2 = sum(pred(sum(n1,n2)),sum(n1,pred(sum(n1,n1))))
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f573,f503]) ).

fof(f571,plain,
    ( ~ spl3_2
    | ~ spl3_17 ),
    inference(avatar_contradiction_clause,[],[f570]) ).

fof(f570,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(subsumption_resolution,[],[f569,f297]) ).

fof(f569,plain,
    ( n2 = sK2
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f568,f53]) ).

fof(f568,plain,
    ( sum(n1,n1) = sK2
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f567,f22]) ).

fof(f567,plain,
    ( sK2 = sum(pred(n2),n1)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f566,f38]) ).

fof(f566,plain,
    ( sK2 = sum(pred(sum(n0,n2)),n1)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f565,f5]) ).

fof(f565,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),n1)
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f564,f52]) ).

fof(f564,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,n0))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f563,f21]) ).

fof(f563,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f562,f37]) ).

fof(f562,plain,
    ( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
    | ~ spl3_2
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f561,f438]) ).

fof(f561,plain,
    ( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f294,f499]) ).

fof(f560,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,[],[f292,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f505,f501,f497]) ).

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]) ).

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,[],[f293,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432]) ).

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]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 15:08:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_UNS_RFO_PEQ problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.IMhxExwhVW/Vampire---4.8_27164
% 0.61/0.83  % (27281)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.83  % (27277)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.83  % (27280)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.83  % (27276)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.83  % (27279)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.83  % (27278)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.83  % (27282)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.83  % (27279)Refutation not found, incomplete strategy% (27279)------------------------------
% 0.61/0.83  % (27279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (27278)Refutation not found, incomplete strategy% (27278)------------------------------
% 0.61/0.83  % (27278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (27281)Refutation not found, incomplete strategy% (27281)------------------------------
% 0.61/0.83  % (27281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (27276)Refutation not found, incomplete strategy% (27276)------------------------------
% 0.61/0.83  % (27276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (27276)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  % (27278)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (27283)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.83  
% 0.61/0.83  % (27281)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  % (27276)Memory used [KB]: 1029
% 0.61/0.83  % (27278)Memory used [KB]: 1029
% 0.61/0.83  
% 0.61/0.83  % (27276)Time elapsed: 0.003 s
% 0.61/0.83  % (27278)Time elapsed: 0.002 s
% 0.61/0.83  % (27281)Memory used [KB]: 1029
% 0.61/0.83  % (27281)Time elapsed: 0.002 s
% 0.61/0.83  % (27276)Instructions burned: 2 (million)
% 0.61/0.83  % (27278)Instructions burned: 2 (million)
% 0.61/0.83  % (27281)Instructions burned: 2 (million)
% 0.61/0.83  % (27279)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (27279)Memory used [KB]: 1029
% 0.61/0.83  % (27279)Time elapsed: 0.003 s
% 0.61/0.83  % (27279)Instructions burned: 2 (million)
% 0.61/0.83  % (27282)Refutation not found, incomplete strategy% (27282)------------------------------
% 0.61/0.83  % (27282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (27282)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (27282)Memory used [KB]: 1029
% 0.61/0.83  % (27282)Time elapsed: 0.002 s
% 0.61/0.83  % (27282)Instructions burned: 3 (million)
% 0.61/0.83  % (27276)------------------------------
% 0.61/0.83  % (27276)------------------------------
% 0.61/0.83  % (27278)------------------------------
% 0.61/0.83  % (27278)------------------------------
% 0.61/0.83  % (27281)------------------------------
% 0.61/0.83  % (27281)------------------------------
% 0.61/0.83  % (27279)------------------------------
% 0.61/0.83  % (27279)------------------------------
% 0.61/0.83  % (27283)Refutation not found, incomplete strategy% (27283)------------------------------
% 0.61/0.83  % (27283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (27283)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (27283)Memory used [KB]: 1029
% 0.61/0.83  % (27283)Time elapsed: 0.002 s
% 0.61/0.83  % (27283)Instructions burned: 2 (million)
% 0.61/0.83  % (27282)------------------------------
% 0.61/0.83  % (27282)------------------------------
% 0.61/0.83  % (27283)------------------------------
% 0.61/0.83  % (27283)------------------------------
% 0.61/0.84  % (27284)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.84  % (27286)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.84  % (27287)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.84  % (27288)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.84  % (27285)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.84  % (27289)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.84  % (27280)Refutation not found, incomplete strategy% (27280)------------------------------
% 0.61/0.84  % (27280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27280)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27280)Memory used [KB]: 1337
% 0.61/0.84  % (27280)Time elapsed: 0.007 s
% 0.61/0.84  % (27286)Refutation not found, incomplete strategy% (27286)------------------------------
% 0.61/0.84  % (27286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27280)Instructions burned: 13 (million)
% 0.61/0.84  % (27286)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27286)Memory used [KB]: 1029
% 0.61/0.84  % (27286)Time elapsed: 0.002 s
% 0.61/0.84  % (27286)Instructions burned: 2 (million)
% 0.61/0.84  % (27287)Refutation not found, incomplete strategy% (27287)------------------------------
% 0.61/0.84  % (27287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27288)Refutation not found, incomplete strategy% (27288)------------------------------
% 0.61/0.84  % (27288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27288)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27288)Memory used [KB]: 1029
% 0.61/0.84  % (27288)Time elapsed: 0.002 s
% 0.61/0.84  % (27288)Instructions burned: 2 (million)
% 0.61/0.84  % (27287)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27287)Memory used [KB]: 1029
% 0.61/0.84  % (27287)Time elapsed: 0.002 s
% 0.61/0.84  % (27287)Instructions burned: 2 (million)
% 0.61/0.84  % (27280)------------------------------
% 0.61/0.84  % (27280)------------------------------
% 0.61/0.84  % (27286)------------------------------
% 0.61/0.84  % (27286)------------------------------
% 0.61/0.84  % (27288)------------------------------
% 0.61/0.84  % (27288)------------------------------
% 0.61/0.84  % (27287)------------------------------
% 0.61/0.84  % (27287)------------------------------
% 0.61/0.84  % (27291)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.84  % (27292)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.84  % (27290)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.84  % (27293)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.84  % (27285)Refutation not found, incomplete strategy% (27285)------------------------------
% 0.61/0.84  % (27285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27285)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27285)Memory used [KB]: 1206
% 0.61/0.84  % (27285)Time elapsed: 0.006 s
% 0.61/0.84  % (27285)Instructions burned: 11 (million)
% 0.61/0.84  % (27290)Refutation not found, incomplete strategy% (27290)------------------------------
% 0.61/0.84  % (27290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27285)------------------------------
% 0.61/0.84  % (27285)------------------------------
% 0.61/0.84  % (27290)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27290)Memory used [KB]: 1030
% 0.61/0.84  % (27290)Time elapsed: 0.002 s
% 0.61/0.84  % (27290)Instructions burned: 2 (million)
% 0.61/0.84  % (27290)------------------------------
% 0.61/0.84  % (27290)------------------------------
% 0.61/0.84  % (27289)Refutation not found, incomplete strategy% (27289)------------------------------
% 0.61/0.84  % (27289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (27289)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (27289)Memory used [KB]: 1436
% 0.61/0.84  % (27289)Time elapsed: 0.008 s
% 0.61/0.84  % (27289)Instructions burned: 16 (million)
% 0.61/0.84  % (27289)------------------------------
% 0.61/0.84  % (27289)------------------------------
% 0.61/0.85  % (27294)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.85  % (27295)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.85  % (27296)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.85  % (27296)Refutation not found, incomplete strategy% (27296)------------------------------
% 0.61/0.85  % (27296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (27296)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (27296)Memory used [KB]: 1029
% 0.61/0.85  % (27296)Time elapsed: 0.002 s
% 0.61/0.85  % (27296)Instructions burned: 3 (million)
% 0.61/0.85  % (27296)------------------------------
% 0.61/0.85  % (27296)------------------------------
% 0.61/0.85  % (27291)Refutation not found, incomplete strategy% (27291)------------------------------
% 0.61/0.85  % (27291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (27291)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (27291)Memory used [KB]: 1385
% 0.61/0.85  % (27291)Time elapsed: 0.009 s
% 0.61/0.85  % (27291)Instructions burned: 19 (million)
% 0.61/0.85  % (27291)------------------------------
% 0.61/0.85  % (27291)------------------------------
% 0.61/0.85  % (27294)Refutation not found, incomplete strategy% (27294)------------------------------
% 0.61/0.85  % (27294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (27294)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (27294)Memory used [KB]: 1391
% 0.61/0.85  % (27294)Time elapsed: 0.007 s
% 0.61/0.85  % (27294)Instructions burned: 14 (million)
% 0.61/0.85  % (27294)------------------------------
% 0.61/0.85  % (27294)------------------------------
% 0.61/0.85  % (27297)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.61/0.85  % (27298)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.61/0.85  % (27298)Refutation not found, incomplete strategy% (27298)------------------------------
% 0.61/0.85  % (27298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (27298)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (27298)Memory used [KB]: 1029
% 0.61/0.85  % (27298)Time elapsed: 0.002 s
% 0.61/0.85  % (27298)Instructions burned: 2 (million)
% 0.61/0.85  % (27298)------------------------------
% 0.61/0.85  % (27298)------------------------------
% 0.75/0.85  % (27299)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.75/0.86  % (27277)Instruction limit reached!
% 0.75/0.86  % (27277)------------------------------
% 0.75/0.86  % (27277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27277)Termination reason: Unknown
% 0.75/0.86  % (27277)Termination phase: Saturation
% 0.75/0.86  
% 0.75/0.86  % (27277)Memory used [KB]: 1611
% 0.75/0.86  % (27277)Time elapsed: 0.026 s
% 0.75/0.86  % (27277)Instructions burned: 52 (million)
% 0.75/0.86  % (27277)------------------------------
% 0.75/0.86  % (27277)------------------------------
% 0.75/0.86  % (27300)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 0.75/0.86  % (27300)Refutation not found, incomplete strategy% (27300)------------------------------
% 0.75/0.86  % (27300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27300)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.86  
% 0.75/0.86  % (27300)Memory used [KB]: 1029
% 0.75/0.86  % (27300)Time elapsed: 0.002 s
% 0.75/0.86  % (27300)Instructions burned: 2 (million)
% 0.75/0.86  % (27297)Refutation not found, incomplete strategy% (27297)------------------------------
% 0.75/0.86  % (27297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27297)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.86  
% 0.75/0.86  % (27300)------------------------------
% 0.75/0.86  % (27300)------------------------------
% 0.75/0.86  % (27297)Memory used [KB]: 1393
% 0.75/0.86  % (27297)Time elapsed: 0.007 s
% 0.75/0.86  % (27297)Instructions burned: 15 (million)
% 0.75/0.86  % (27297)------------------------------
% 0.75/0.86  % (27297)------------------------------
% 0.75/0.86  % (27295)Instruction limit reached!
% 0.75/0.86  % (27295)------------------------------
% 0.75/0.86  % (27295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27295)Termination reason: Unknown
% 0.75/0.86  % (27295)Termination phase: Saturation
% 0.75/0.86  
% 0.75/0.86  % (27295)Memory used [KB]: 1362
% 0.75/0.86  % (27295)Time elapsed: 0.015 s
% 0.75/0.86  % (27295)Instructions burned: 33 (million)
% 0.75/0.86  % (27295)------------------------------
% 0.75/0.86  % (27295)------------------------------
% 0.75/0.86  % (27292)Refutation not found, incomplete strategy% (27292)------------------------------
% 0.75/0.86  % (27292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27292)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.86  
% 0.75/0.86  % (27292)Memory used [KB]: 1591
% 0.75/0.86  % (27292)Time elapsed: 0.020 s
% 0.75/0.86  % (27292)Instructions burned: 39 (million)
% 0.75/0.86  % (27301)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 0.75/0.86  % (27292)------------------------------
% 0.75/0.86  % (27292)------------------------------
% 0.75/0.86  % (27301)Refutation not found, incomplete strategy% (27301)------------------------------
% 0.75/0.86  % (27301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27301)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.86  
% 0.75/0.86  % (27301)Memory used [KB]: 1030
% 0.75/0.86  % (27301)Time elapsed: 0.002 s
% 0.75/0.86  % (27301)Instructions burned: 3 (million)
% 0.75/0.86  % (27301)------------------------------
% 0.75/0.86  % (27301)------------------------------
% 0.75/0.86  % (27302)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.75/0.86  % (27284)Instruction limit reached!
% 0.75/0.86  % (27284)------------------------------
% 0.75/0.86  % (27284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27284)Termination reason: Unknown
% 0.75/0.86  % (27284)Termination phase: Saturation
% 0.75/0.86  
% 0.75/0.86  % (27284)Memory used [KB]: 1613
% 0.75/0.86  % (27284)Time elapsed: 0.026 s
% 0.75/0.86  % (27284)Instructions burned: 56 (million)
% 0.75/0.86  % (27284)------------------------------
% 0.75/0.86  % (27284)------------------------------
% 0.75/0.86  % (27303)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.75/0.86  % (27304)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.75/0.86  % (27299)Refutation not found, incomplete strategy% (27299)------------------------------
% 0.75/0.86  % (27299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86  % (27299)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.86  
% 0.75/0.86  % (27299)Memory used [KB]: 1373
% 0.75/0.86  % (27299)Time elapsed: 0.009 s
% 0.75/0.86  % (27299)Instructions burned: 18 (million)
% 0.75/0.86  % (27299)------------------------------
% 0.75/0.86  % (27299)------------------------------
% 0.75/0.86  % (27305)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 0.75/0.86  % (27306)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 0.75/0.86  % (27307)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 0.75/0.87  % (27304)Refutation not found, incomplete strategy% (27304)------------------------------
% 0.75/0.87  % (27304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.87  % (27304)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.87  
% 0.75/0.87  % (27304)Memory used [KB]: 1172
% 0.75/0.87  % (27304)Time elapsed: 0.005 s
% 0.75/0.87  % (27304)Instructions burned: 10 (million)
% 0.75/0.87  % (27308)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 0.75/0.87  % (27304)------------------------------
% 0.75/0.87  % (27304)------------------------------
% 0.75/0.87  % (27308)Refutation not found, incomplete strategy% (27308)------------------------------
% 0.75/0.87  % (27308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.87  % (27308)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.87  
% 0.75/0.87  % (27308)Memory used [KB]: 1029
% 0.75/0.87  % (27308)Time elapsed: 0.002 s
% 0.75/0.87  % (27308)Instructions burned: 2 (million)
% 0.75/0.87  % (27308)------------------------------
% 0.75/0.87  % (27308)------------------------------
% 0.88/0.87  % (27309)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 0.88/0.87  % (27309)Refutation not found, incomplete strategy% (27309)------------------------------
% 0.88/0.87  % (27309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87  % (27309)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.87  
% 0.88/0.87  % (27309)Memory used [KB]: 1029
% 0.88/0.87  % (27309)Time elapsed: 0.002 s
% 0.88/0.87  % (27309)Instructions burned: 2 (million)
% 0.88/0.87  % (27310)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 0.88/0.87  % (27309)------------------------------
% 0.88/0.87  % (27309)------------------------------
% 0.88/0.87  % (27310)Refutation not found, incomplete strategy% (27310)------------------------------
% 0.88/0.87  % (27310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87  % (27310)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.87  
% 0.88/0.87  % (27310)Memory used [KB]: 1030
% 0.88/0.87  % (27310)Time elapsed: 0.003 s
% 0.88/0.87  % (27310)Instructions burned: 3 (million)
% 0.88/0.87  % (27310)------------------------------
% 0.88/0.87  % (27310)------------------------------
% 0.88/0.87  % (27311)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 0.88/0.87  % (27311)Refutation not found, incomplete strategy% (27311)------------------------------
% 0.88/0.87  % (27311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87  % (27311)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.87  
% 0.88/0.87  % (27311)Memory used [KB]: 1030
% 0.88/0.87  % (27311)Time elapsed: 0.002 s
% 0.88/0.87  % (27311)Instructions burned: 3 (million)
% 0.88/0.88  % (27311)------------------------------
% 0.88/0.88  % (27311)------------------------------
% 0.88/0.88  % (27312)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 0.88/0.88  % (27305)Refutation not found, incomplete strategy% (27305)------------------------------
% 0.88/0.88  % (27305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (27305)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.88  
% 0.88/0.88  % (27305)Memory used [KB]: 1656
% 0.88/0.88  % (27305)Time elapsed: 0.016 s
% 0.88/0.88  % (27305)Instructions burned: 32 (million)
% 0.88/0.88  % (27305)------------------------------
% 0.88/0.88  % (27305)------------------------------
% 0.88/0.88  % (27313)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 0.88/0.88  % (27293)Instruction limit reached!
% 0.88/0.88  % (27293)------------------------------
% 0.88/0.88  % (27293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (27293)Termination reason: Unknown
% 0.88/0.88  % (27293)Termination phase: Saturation
% 0.88/0.88  
% 0.88/0.88  % (27293)Memory used [KB]: 2094
% 0.88/0.88  % (27293)Time elapsed: 0.040 s
% 0.88/0.88  % (27293)Instructions burned: 94 (million)
% 0.88/0.88  % (27293)------------------------------
% 0.88/0.88  % (27293)------------------------------
% 0.88/0.88  % (27314)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 0.88/0.88  % (27314)Refutation not found, incomplete strategy% (27314)------------------------------
% 0.88/0.88  % (27314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (27314)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.88  
% 0.88/0.88  % (27314)Memory used [KB]: 1029
% 0.88/0.88  % (27314)Time elapsed: 0.002 s
% 0.88/0.88  % (27314)Instructions burned: 3 (million)
% 0.88/0.88  % (27312)Refutation not found, incomplete strategy% (27312)------------------------------
% 0.88/0.88  % (27312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (27312)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.88  
% 0.88/0.88  % (27312)Memory used [KB]: 1365
% 0.88/0.88  % (27312)Time elapsed: 0.009 s
% 0.88/0.88  % (27312)Instructions burned: 17 (million)
% 0.88/0.88  % (27314)------------------------------
% 0.88/0.88  % (27314)------------------------------
% 0.88/0.88  % (27312)------------------------------
% 0.88/0.88  % (27312)------------------------------
% 0.88/0.88  % (27315)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 0.88/0.88  % (27306)Instruction limit reached!
% 0.88/0.88  % (27306)------------------------------
% 0.88/0.88  % (27306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (27306)Termination reason: Unknown
% 0.88/0.88  % (27306)Termination phase: Saturation
% 0.88/0.88  
% 0.88/0.88  % (27306)Memory used [KB]: 1950
% 0.88/0.88  % (27306)Time elapsed: 0.021 s
% 0.88/0.88  % (27306)Instructions burned: 41 (million)
% 0.88/0.88  % (27306)------------------------------
% 0.88/0.88  % (27306)------------------------------
% 0.88/0.88  % (27315)Refutation not found, incomplete strategy% (27315)------------------------------
% 0.88/0.88  % (27315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (27315)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.88  
% 0.88/0.88  % (27315)Memory used [KB]: 1029
% 0.88/0.88  % (27315)Time elapsed: 0.002 s
% 0.88/0.88  % (27315)Instructions burned: 2 (million)
% 0.88/0.88  % (27315)------------------------------
% 0.88/0.88  % (27315)------------------------------
% 0.88/0.89  % (27316)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 0.88/0.89  % (27313)Refutation not found, incomplete strategy% (27313)------------------------------
% 0.88/0.89  % (27313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.89  % (27313)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.89  
% 0.88/0.89  % (27313)Memory used [KB]: 1357
% 0.88/0.89  % (27313)Time elapsed: 0.009 s
% 0.88/0.89  % (27313)Instructions burned: 18 (million)
% 0.88/0.89  % (27317)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2994ds/119Mi)
% 0.88/0.89  % (27313)------------------------------
% 0.88/0.89  % (27313)------------------------------
% 0.88/0.89  % (27318)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/177Mi)
% 0.88/0.89  % (27319)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2994ds/117Mi)
% 0.88/0.89  % (27318)Refutation not found, incomplete strategy% (27318)------------------------------
% 0.88/0.89  % (27318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.89  % (27318)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.89  
% 0.88/0.89  % (27318)Memory used [KB]: 1030
% 0.88/0.89  % (27318)Time elapsed: 0.002 s
% 0.88/0.89  % (27318)Instructions burned: 3 (million)
% 0.88/0.89  % (27318)------------------------------
% 0.88/0.89  % (27318)------------------------------
% 0.88/0.89  % (27320)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2994ds/49Mi)
% 0.88/0.89  % (27320)Refutation not found, incomplete strategy% (27320)------------------------------
% 0.88/0.89  % (27320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.89  % (27320)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.89  
% 0.88/0.89  % (27320)Memory used [KB]: 1030
% 0.88/0.89  % (27320)Time elapsed: 0.002 s
% 0.88/0.89  % (27320)Instructions burned: 2 (million)
% 0.88/0.89  % (27320)------------------------------
% 0.88/0.89  % (27320)------------------------------
% 0.88/0.89  % (27321)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2994ds/51Mi)
% 0.88/0.89  % (27321)Refutation not found, incomplete strategy% (27321)------------------------------
% 0.88/0.89  % (27321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.89  % (27321)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.89  
% 0.88/0.89  % (27321)Memory used [KB]: 1030
% 0.88/0.89  % (27321)Time elapsed: 0.002 s
% 0.88/0.89  % (27321)Instructions burned: 2 (million)
% 0.88/0.89  % (27321)------------------------------
% 0.88/0.89  % (27321)------------------------------
% 0.88/0.89  % (27322)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2994ds/149Mi)
% 0.88/0.89  % (27322)Refutation not found, incomplete strategy% (27322)------------------------------
% 0.88/0.89  % (27322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.89  % (27322)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.89  
% 0.88/0.89  % (27322)Memory used [KB]: 1029
% 0.88/0.89  % (27322)Time elapsed: 0.002 s
% 0.88/0.89  % (27322)Instructions burned: 3 (million)
% 0.88/0.89  % (27322)------------------------------
% 0.88/0.89  % (27322)------------------------------
% 0.88/0.90  % (27323)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2994ds/56Mi)
% 0.88/0.90  % (27302)Instruction limit reached!
% 0.88/0.90  % (27302)------------------------------
% 0.88/0.90  % (27302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (27323)Refutation not found, incomplete strategy% (27323)------------------------------
% 0.88/0.90  % (27323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (27323)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.90  
% 0.88/0.90  % (27323)Memory used [KB]: 1029
% 0.88/0.90  % (27323)Time elapsed: 0.002 s
% 0.88/0.90  % (27323)Instructions burned: 3 (million)
% 0.88/0.90  % (27302)Termination reason: Unknown
% 0.88/0.90  % (27302)Termination phase: Saturation
% 0.88/0.90  
% 0.88/0.90  % (27302)Memory used [KB]: 1697
% 0.88/0.90  % (27302)Time elapsed: 0.037 s
% 0.88/0.90  % (27302)Instructions burned: 87 (million)
% 0.88/0.90  % (27302)------------------------------
% 0.88/0.90  % (27302)------------------------------
% 0.88/0.90  % (27323)------------------------------
% 0.88/0.90  % (27323)------------------------------
% 0.88/0.90  % (27324)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2994ds/289Mi)
% 0.88/0.90  % (27324)Refutation not found, incomplete strategy% (27324)------------------------------
% 0.88/0.90  % (27324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (27324)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.90  
% 0.88/0.90  % (27324)Memory used [KB]: 1029
% 0.88/0.90  % (27324)Time elapsed: 0.002 s
% 0.88/0.90  % (27324)Instructions burned: 3 (million)
% 0.88/0.90  % (27324)------------------------------
% 0.88/0.90  % (27324)------------------------------
% 0.88/0.90  % (27325)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2994ds/206Mi)
% 0.88/0.90  % (27326)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on Vampire---4 for (2994ds/50Mi)
% 0.88/0.90  % (27325)Refutation not found, incomplete strategy% (27325)------------------------------
% 0.88/0.90  % (27325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (27325)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.90  
% 0.88/0.90  % (27325)Memory used [KB]: 1030
% 0.88/0.90  % (27325)Time elapsed: 0.002 s
% 0.88/0.90  % (27325)Instructions burned: 2 (million)
% 0.88/0.90  % (27325)------------------------------
% 0.88/0.90  % (27325)------------------------------
% 0.88/0.90  % (27326)Refutation not found, incomplete strategy% (27326)------------------------------
% 0.88/0.90  % (27326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.90  % (27326)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.90  
% 0.88/0.90  % (27326)Memory used [KB]: 1030
% 0.88/0.90  % (27326)Time elapsed: 0.003 s
% 0.88/0.90  % (27326)Instructions burned: 3 (million)
% 0.88/0.90  % (27326)------------------------------
% 0.88/0.90  % (27326)------------------------------
% 0.88/0.90  % (27327)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2994ds/1483Mi)
% 0.88/0.90  % (27328)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 0.88/0.91  % (27329)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 0.88/0.91  % (27329)Refutation not found, incomplete strategy% (27329)------------------------------
% 0.88/0.91  % (27329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.91  % (27329)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.91  
% 0.88/0.91  % (27329)Memory used [KB]: 1029
% 0.88/0.91  % (27329)Time elapsed: 0.002 s
% 0.88/0.91  % (27329)Instructions burned: 2 (million)
% 0.88/0.91  % (27329)------------------------------
% 0.88/0.91  % (27329)------------------------------
% 0.88/0.91  % (27330)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on Vampire---4 for (2994ds/52Mi)
% 0.88/0.91  % (27303)Instruction limit reached!
% 0.88/0.91  % (27303)------------------------------
% 0.88/0.91  % (27303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.91  % (27303)Termination reason: Unknown
% 0.88/0.91  % (27303)Termination phase: Saturation
% 0.88/0.91  
% 0.88/0.91  % (27303)Memory used [KB]: 2289
% 0.88/0.91  % (27303)Time elapsed: 0.050 s
% 0.88/0.91  % (27303)Instructions burned: 109 (million)
% 0.88/0.91  % (27303)------------------------------
% 0.88/0.91  % (27303)------------------------------
% 1.08/0.91  % (27331)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on Vampire---4 for (2994ds/366Mi)
% 1.08/0.91  % (27331)Refutation not found, incomplete strategy% (27331)------------------------------
% 1.08/0.91  % (27331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.91  % (27331)Termination reason: Refutation not found, incomplete strategy
% 1.08/0.91  
% 1.08/0.91  % (27331)Memory used [KB]: 1029
% 1.08/0.91  % (27331)Time elapsed: 0.002 s
% 1.08/0.91  % (27331)Instructions burned: 2 (million)
% 1.08/0.91  % (27331)------------------------------
% 1.08/0.91  % (27331)------------------------------
% 1.08/0.92  % (27332)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on Vampire---4 for (2994ds/863Mi)
% 1.08/0.92  % (27332)Refutation not found, incomplete strategy% (27332)------------------------------
% 1.08/0.92  % (27332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.92  % (27332)Termination reason: Refutation not found, incomplete strategy
% 1.08/0.92  
% 1.08/0.92  % (27332)Memory used [KB]: 1030
% 1.08/0.92  % (27332)Time elapsed: 0.002 s
% 1.08/0.92  % (27332)Instructions burned: 3 (million)
% 1.08/0.92  % (27332)------------------------------
% 1.08/0.92  % (27332)------------------------------
% 1.08/0.92  % (27316)Instruction limit reached!
% 1.08/0.92  % (27316)------------------------------
% 1.08/0.92  % (27316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.92  % (27316)Termination reason: Unknown
% 1.08/0.92  % (27316)Termination phase: Saturation
% 1.08/0.92  
% 1.08/0.92  % (27316)Memory used [KB]: 1697
% 1.08/0.92  % (27316)Time elapsed: 0.036 s
% 1.08/0.92  % (27316)Instructions burned: 82 (million)
% 1.08/0.92  % (27316)------------------------------
% 1.08/0.92  % (27316)------------------------------
% 1.08/0.92  % (27333)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on Vampire---4 for (2994ds/163Mi)
% 1.08/0.92  % (27334)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on Vampire---4 for (2994ds/77Mi)
% 1.08/0.92  % (27334)Refutation not found, incomplete strategy% (27334)------------------------------
% 1.08/0.92  % (27334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.92  % (27334)Termination reason: Refutation not found, incomplete strategy
% 1.08/0.92  
% 1.08/0.92  % (27334)Memory used [KB]: 1029
% 1.08/0.92  % (27334)Time elapsed: 0.002 s
% 1.08/0.92  % (27334)Instructions burned: 2 (million)
% 1.08/0.92  % (27334)------------------------------
% 1.08/0.92  % (27334)------------------------------
% 1.08/0.93  % (27333)Refutation not found, incomplete strategy% (27333)------------------------------
% 1.08/0.93  % (27333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.93  % (27333)Termination reason: Refutation not found, incomplete strategy
% 1.08/0.93  
% 1.08/0.93  % (27333)Memory used [KB]: 1260
% 1.08/0.93  % (27333)Time elapsed: 0.007 s
% 1.08/0.93  % (27333)Instructions burned: 13 (million)
% 1.08/0.93  % (27335)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on Vampire---4 for (2994ds/1548Mi)
% 1.08/0.93  % (27333)------------------------------
% 1.08/0.93  % (27333)------------------------------
% 1.08/0.93  % (27317)Instruction limit reached!
% 1.08/0.93  % (27317)------------------------------
% 1.08/0.93  % (27317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.93  % (27317)Termination reason: Unknown
% 1.08/0.93  % (27317)Termination phase: Saturation
% 1.08/0.93  
% 1.08/0.93  % (27317)Memory used [KB]: 1645
% 1.08/0.93  % (27317)Time elapsed: 0.065 s
% 1.08/0.93  % (27317)Instructions burned: 121 (million)
% 1.08/0.93  % (27317)------------------------------
% 1.08/0.93  % (27317)------------------------------
% 1.08/0.93  % (27336)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on Vampire---4 for (2994ds/76Mi)
% 1.08/0.93  % (27328)Instruction limit reached!
% 1.08/0.93  % (27328)------------------------------
% 1.08/0.93  % (27328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.93  % (27328)Termination reason: Unknown
% 1.08/0.93  % (27328)Termination phase: Saturation
% 1.08/0.93  
% 1.08/0.93  % (27328)Memory used [KB]: 1452
% 1.08/0.93  % (27328)Time elapsed: 0.029 s
% 1.08/0.93  % (27328)Instructions burned: 69 (million)
% 1.08/0.93  % (27328)------------------------------
% 1.08/0.93  % (27328)------------------------------
% 1.08/0.93  % (27337)dis+1010_111129:1048576_sfv=off:drc=encompass:sil=2000:tgt=full:sp=reverse_arity:spb=goal:rnwc=on:fd=preordered:rp=on:nwc=6.5667:i=1376:kws=arity_squared:bd=off:nm=0:uhcvi=on:rawr=on:av=off:erd=off:cond=on:lcm=reverse_0 on Vampire---4 for (2994ds/1376Mi)
% 1.08/0.93  % (27330)Instruction limit reached!
% 1.08/0.93  % (27330)------------------------------
% 1.08/0.93  % (27330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.93  % (27330)Termination reason: Unknown
% 1.08/0.93  % (27330)Termination phase: Saturation
% 1.08/0.93  
% 1.08/0.93  % (27330)Memory used [KB]: 1721
% 1.08/0.93  % (27330)Time elapsed: 0.027 s
% 1.08/0.93  % (27330)Instructions burned: 53 (million)
% 1.08/0.93  % (27330)------------------------------
% 1.08/0.93  % (27330)------------------------------
% 1.08/0.93  % (27338)lrs-1002_3:2_sil=2000:sos=on:fd=off:nwc=10.0:flr=on:i=117:nm=16:fsr=off:sup=off:ss=axioms:fs=off:bd=off:fde=none:erd=off_0 on Vampire---4 for (2994ds/117Mi)
% 1.08/0.94  % (27335)Refutation not found, incomplete strategy% (27335)------------------------------
% 1.08/0.94  % (27335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.94  % (27335)Termination reason: Refutation not found, incomplete strategy
% 1.08/0.94  
% 1.08/0.94  % (27335)Memory used [KB]: 1397
% 1.08/0.94  % (27335)Time elapsed: 0.009 s
% 1.08/0.94  % (27335)Instructions burned: 18 (million)
% 1.08/0.94  % (27335)------------------------------
% 1.08/0.94  % (27335)------------------------------
% 1.08/0.94  % (27338)Refutation not found, incomplete strategy% (27338)------------------------------
% 1.08/0.94  % (27338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.94  % (27338)Termination reason: Refutation not found, incomplete strategy
% 1.08/0.94  
% 1.08/0.94  % (27338)Memory used [KB]: 1029
% 1.08/0.94  % (27338)Time elapsed: 0.002 s
% 1.08/0.94  % (27338)Instructions burned: 2 (million)
% 1.08/0.94  % (27338)------------------------------
% 1.08/0.94  % (27338)------------------------------
% 1.31/0.94  % (27339)ott+1011_47:51_anc=all_dependent:slsqr=853,231:sil=4000:sp=reverse_frequency:foolp=on:spb=non_intro:abs=on:s2agt=50:slsqc=1:slsq=on:st=4.0:i=59:s2at=1.5:sd=7:kws=inv_frequency:afp=2000:nm=14:ins=2:afq=1.2:uhcvi=on:afr=on:gsp=on:ss=axioms:sgt=100:rawr=on:tgt=ground:awrs=converge:awrsf=390:bs=unit_only:add=off:flr=on:plsq=on:plsqc=1:plsqr=6705511,1048576:bd=preordered:newcnf=on:nwc=5.0_0 on Vampire---4 for (2994ds/59Mi)
% 1.31/0.94  % (27341)lrs+11_1:1_sos=on:urr=on:s2a=on:i=260:sd=1:aac=none:ss=axioms:gsp=on:sil=128000:nm=3:bce=on:fd=preordered:alpa=true:etr=on:bd=off:lcm=predicate_0 on Vampire---4 for (2994ds/260Mi)
% 1.31/0.94  % (27340)lrs+1002_1:1_sfv=off:drc=encompass:sil=2000:fde=unused:sp=frequency:nwc=10.0:flr=on:st=1.5:i=151:bd=off:nm=0:ins=4:fsr=off:fsd=on:ss=axioms:s2a=on:s2agt=32:to=lpo:aac=none:sims=off_0 on Vampire---4 for (2994ds/151Mi)
% 1.31/0.94  % (27339)Refutation not found, incomplete strategy% (27339)------------------------------
% 1.31/0.94  % (27339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.94  % (27339)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.94  % (27341)Refutation not found, incomplete strategy% (27341)------------------------------
% 1.31/0.94  % (27341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.94  % (27341)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.94  
% 1.31/0.94  % (27341)Memory used [KB]: 1030
% 1.31/0.94  % (27341)Time elapsed: 0.002 s
% 1.31/0.94  % (27341)Instructions burned: 3 (million)
% 1.31/0.94  
% 1.31/0.94  % (27339)Memory used [KB]: 1031
% 1.31/0.94  % (27339)Time elapsed: 0.002 s
% 1.31/0.94  % (27339)Instructions burned: 3 (million)
% 1.31/0.94  % (27340)Refutation not found, incomplete strategy% (27340)------------------------------
% 1.31/0.94  % (27340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.94  % (27340)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.94  
% 1.31/0.94  % (27340)Memory used [KB]: 1030
% 1.31/0.94  % (27340)Time elapsed: 0.002 s
% 1.31/0.94  % (27340)Instructions burned: 3 (million)
% 1.31/0.94  % (27341)------------------------------
% 1.31/0.94  % (27341)------------------------------
% 1.31/0.94  % (27339)------------------------------
% 1.31/0.94  % (27339)------------------------------
% 1.31/0.94  % (27340)------------------------------
% 1.31/0.94  % (27340)------------------------------
% 1.31/0.94  % (27319)Instruction limit reached!
% 1.31/0.94  % (27319)------------------------------
% 1.31/0.94  % (27319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.94  % (27319)Termination reason: Unknown
% 1.31/0.94  % (27319)Termination phase: Saturation
% 1.31/0.94  
% 1.31/0.94  % (27319)Memory used [KB]: 2163
% 1.31/0.94  % (27319)Time elapsed: 0.077 s
% 1.31/0.94  % (27319)Instructions burned: 117 (million)
% 1.31/0.94  % (27319)------------------------------
% 1.31/0.94  % (27319)------------------------------
% 1.31/0.94  % (27342)dis+1010_1:1_drc=off:sil=32000:rp=on:cond=fast:i=1797:av=off:newcnf=on:bd=off:sfv=off:plsq=on:plsqr=1,32:erd=off_0 on Vampire---4 for (2994ds/1797Mi)
% 1.31/0.94  % (27343)lrs-1010_1:8_sil=2000:spb=intro:acc=on:rp=on:i=200:sd=1:bd=off:uhcvi=on:ss=axioms:sgt=32:rawr=on:erd=off:alpa=true:anc=none:afp=2000_0 on Vampire---4 for (2994ds/200Mi)
% 1.31/0.94  % (27344)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=356:ss=included:sd=7:ep=RS:erd=off_0 on Vampire---4 for (2994ds/356Mi)
% 1.31/0.94  % (27343)Refutation not found, incomplete strategy% (27343)------------------------------
% 1.31/0.94  % (27343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.94  % (27343)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.94  
% 1.31/0.94  % (27343)Memory used [KB]: 1029
% 1.31/0.94  % (27343)Time elapsed: 0.002 s
% 1.31/0.94  % (27343)Instructions burned: 2 (million)
% 1.31/0.94  % (27343)------------------------------
% 1.31/0.94  % (27343)------------------------------
% 1.31/0.95  % (27345)lrs+1011_1:4_bsr=unit_only:to=lpo:sil=2000:plsqc=4:plsq=on:sp=occurrence:plsql=on:alpa=false:i=75:afp=10:afq=2.0:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/75Mi)
% 1.31/0.95  % (27345)Refutation not found, incomplete strategy% (27345)------------------------------
% 1.31/0.95  % (27345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.95  % (27345)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.95  
% 1.31/0.95  % (27345)Memory used [KB]: 1029
% 1.31/0.95  % (27345)Time elapsed: 0.002 s
% 1.31/0.95  % (27345)Instructions burned: 2 (million)
% 1.31/0.95  % (27345)------------------------------
% 1.31/0.95  % (27345)------------------------------
% 1.31/0.95  % (27346)dis+1011_13623:1048576_drc=off:sil=2000:fde=unused:bsd=on:sp=const_min:br=off:fd=preordered:gs=on:nwc=17.1261:gsem=off:i=578:kws=inv_frequency:nm=4:rawr=on:bd=off:fsr=off:bsdmm=1:av=off_0 on Vampire---4 for (2994ds/578Mi)
% 1.31/0.95  % (27344)Refutation not found, incomplete strategy% (27344)------------------------------
% 1.31/0.95  % (27344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.95  % (27344)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.95  
% 1.31/0.95  % (27344)Memory used [KB]: 1337
% 1.31/0.95  % (27344)Time elapsed: 0.006 s
% 1.31/0.95  % (27344)Instructions burned: 13 (million)
% 1.31/0.95  % (27344)------------------------------
% 1.31/0.95  % (27344)------------------------------
% 1.31/0.95  % (27347)ott-1011_3:2_to=lpo:drc=off:sil=2000:sims=off:sos=on:lma=on:spb=goal_then_units:lcm=predicate:fd=preordered:rp=on:newcnf=on:avsq=on:i=251:ins=1:fsr=off:avsqc=4:aac=none:plsq=on:plsqc=1:plsqr=32,1:fs=off_0 on Vampire---4 for (2994ds/251Mi)
% 1.31/0.95  % (27348)dis+1010_1:1_sil=2000:tgt=full:rp=on:gs=on:nwc=5.0:i=93:abs=on:sos=on_0 on Vampire---4 for (2994ds/93Mi)
% 1.31/0.96  % (27347)Refutation not found, incomplete strategy% (27347)------------------------------
% 1.31/0.96  % (27347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.96  % (27347)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.96  
% 1.31/0.96  % (27347)Memory used [KB]: 1496
% 1.31/0.96  % (27347)Time elapsed: 0.010 s
% 1.31/0.96  % (27347)Instructions burned: 21 (million)
% 1.31/0.96  % (27347)------------------------------
% 1.31/0.96  % (27347)------------------------------
% 1.31/0.96  % (27348)Refutation not found, incomplete strategy% (27348)------------------------------
% 1.31/0.96  % (27348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.96  % (27348)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.96  
% 1.31/0.96  % (27348)Memory used [KB]: 1397
% 1.31/0.96  % (27348)Time elapsed: 0.009 s
% 1.31/0.96  % (27348)Instructions burned: 17 (million)
% 1.31/0.96  % (27348)------------------------------
% 1.31/0.96  % (27348)------------------------------
% 1.31/0.96  % (27349)lrs+1010_1:8_sil=4000:sos=on:urr=on:rnwc=on:nwc=10.0:i=37:sup=off:kws=frequency_0 on Vampire---4 for (2993ds/37Mi)
% 1.31/0.96  % (27350)lrs+1010_1:1_sil=2000:sos=all:kmz=on:cond=fast:i=132:kws=inv_frequency:av=off:gsp=on:rawr=on:s2a=on:s2at=2.0_0 on Vampire---4 for (2993ds/132Mi)
% 1.31/0.97  % (27336)Instruction limit reached!
% 1.31/0.97  % (27336)------------------------------
% 1.31/0.97  % (27336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.97  % (27336)Termination reason: Unknown
% 1.31/0.97  % (27336)Termination phase: Saturation
% 1.31/0.97  
% 1.31/0.97  % (27336)Memory used [KB]: 1588
% 1.31/0.97  % (27336)Time elapsed: 0.038 s
% 1.31/0.97  % (27336)Instructions burned: 78 (million)
% 1.31/0.97  % (27336)------------------------------
% 1.31/0.97  % (27336)------------------------------
% 1.31/0.97  % (27349)Refutation not found, incomplete strategy% (27349)------------------------------
% 1.31/0.97  % (27349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.97  % (27349)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.97  
% 1.31/0.97  % (27349)Memory used [KB]: 1364
% 1.31/0.97  % (27349)Time elapsed: 0.008 s
% 1.31/0.97  % (27349)Instructions burned: 15 (million)
% 1.31/0.97  % (27349)------------------------------
% 1.31/0.97  % (27349)------------------------------
% 1.31/0.97  % (27351)dis+1011_1:1024_drc=off:sil=2000:urr=ec_only:br=off:sac=on:i=209:fsr=off_0 on Vampire---4 for (2993ds/209Mi)
% 1.31/0.97  % (27350)Refutation not found, incomplete strategy% (27350)------------------------------
% 1.31/0.97  % (27350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.97  % (27350)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.97  
% 1.31/0.97  % (27350)Memory used [KB]: 1366
% 1.31/0.97  % (27350)Time elapsed: 0.009 s
% 1.31/0.97  % (27350)Instructions burned: 18 (million)
% 1.31/0.97  % (27350)------------------------------
% 1.31/0.97  % (27350)------------------------------
% 1.31/0.97  % (27352)lrs+11_7:12_sil=2000:sp=occurrence:sos=on:erd=off:lcm=reverse:gs=on:st=5.0:i=100:awrs=converge:bd=off:ss=axioms:fs=off:fsr=off:rawr=on_0 on Vampire---4 for (2993ds/100Mi)
% 1.31/0.97  % (27352)Refutation not found, incomplete strategy% (27352)------------------------------
% 1.31/0.97  % (27352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.97  % (27352)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.97  
% 1.31/0.97  % (27352)Memory used [KB]: 1029
% 1.31/0.97  % (27352)Time elapsed: 0.003 s
% 1.31/0.97  % (27352)Instructions burned: 2 (million)
% 1.31/0.97  % (27352)------------------------------
% 1.31/0.97  % (27352)------------------------------
% 1.31/0.97  % (27353)dis+10_1:1_sil=2000:nwc=5.0:s2agt=32:s2a=on:i=54:nm=4:alpa=true_0 on Vampire---4 for (2993ds/54Mi)
% 1.31/0.98  % (27354)lrs-1011_1:1_to=lpo:drc=off:sil=2000:sp=const_min:sos=on:lsd=10:sac=on:i=62:br=off:newcnf=on_0 on Vampire---4 for (2993ds/62Mi)
% 1.31/0.98  % (27354)Refutation not found, incomplete strategy% (27354)------------------------------
% 1.31/0.98  % (27354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.98  % (27354)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.98  
% 1.31/0.98  % (27354)Memory used [KB]: 1372
% 1.31/0.98  % (27354)Time elapsed: 0.009 s
% 1.31/0.98  % (27354)Instructions burned: 17 (million)
% 1.31/0.98  % (27354)------------------------------
% 1.31/0.98  % (27354)------------------------------
% 1.31/0.99  % (27355)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=2265:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on Vampire---4 for (2993ds/2265Mi)
% 1.31/0.99  % (27355)Refutation not found, incomplete strategy% (27355)------------------------------
% 1.31/0.99  % (27355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.99  % (27355)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.99  
% 1.31/0.99  % (27355)Memory used [KB]: 1029
% 1.31/0.99  % (27355)Time elapsed: 0.002 s
% 1.31/0.99  % (27355)Instructions burned: 2 (million)
% 1.31/0.99  % (27355)------------------------------
% 1.31/0.99  % (27355)------------------------------
% 1.31/0.99  % (27356)lrs+1011_1:128_sil=2000:lsd=10:newcnf=on:i=91:bd=off:fsd=on:ss=axioms:plsq=on:plsqr=9200103,131072:sd=1:lma=on_0 on Vampire---4 for (2993ds/91Mi)
% 1.31/0.99  % (27356)Refutation not found, incomplete strategy% (27356)------------------------------
% 1.31/0.99  % (27356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.99  % (27356)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.99  
% 1.31/0.99  % (27356)Memory used [KB]: 1030
% 1.31/0.99  % (27356)Time elapsed: 0.002 s
% 1.31/0.99  % (27356)Instructions burned: 2 (million)
% 1.31/0.99  % (27356)------------------------------
% 1.31/0.99  % (27356)------------------------------
% 1.31/1.00  % (27357)ott+1011_7:2_anc=all:to=lpo:sil=2000:tgt=full:plsq=on:sos=on:spb=intro:fd=preordered:rp=on:i=83:uhcvi=on:rawr=on:fs=off:fsr=off:lsd=1:erd=off:aac=none:plsqc=2:newcnf=on:abs=on:bd=off_0 on Vampire---4 for (2993ds/83Mi)
% 1.31/1.00  % (27353)Instruction limit reached!
% 1.31/1.00  % (27353)------------------------------
% 1.31/1.00  % (27353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.00  % (27353)Termination reason: Unknown
% 1.31/1.00  % (27353)Termination phase: Saturation
% 1.31/1.00  
% 1.31/1.00  % (27353)Memory used [KB]: 1661
% 1.31/1.00  % (27353)Time elapsed: 0.028 s
% 1.31/1.00  % (27353)Instructions burned: 55 (million)
% 1.31/1.00  % (27353)------------------------------
% 1.31/1.00  % (27353)------------------------------
% 1.31/1.00  % (27357)Refutation not found, incomplete strategy% (27357)------------------------------
% 1.31/1.00  % (27357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.00  % (27357)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.00  
% 1.31/1.00  % (27357)Memory used [KB]: 1294
% 1.31/1.00  % (27357)Time elapsed: 0.007 s
% 1.31/1.00  % (27357)Instructions burned: 12 (million)
% 1.31/1.00  % (27357)------------------------------
% 1.31/1.00  % (27357)------------------------------
% 1.31/1.00  % (27358)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=123:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on Vampire---4 for (2993ds/123Mi)
% 1.31/1.00  % (27358)Refutation not found, incomplete strategy% (27358)------------------------------
% 1.31/1.00  % (27358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.00  % (27358)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.00  
% 1.31/1.00  % (27358)Memory used [KB]: 1029
% 1.31/1.00  % (27358)Time elapsed: 0.002 s
% 1.31/1.01  % (27358)Instructions burned: 2 (million)
% 1.31/1.01  % (27358)------------------------------
% 1.31/1.01  % (27358)------------------------------
% 1.31/1.01  % (27359)dis-1003_1:1_drc=off:sil=2000:sos=all:i=84:av=off:irw=on:plsq=on:plsqc=1:plsqr=32,1:sfv=off_0 on Vampire---4 for (2993ds/84Mi)
% 1.31/1.01  % (27360)lrs+2_1:1_sil=2000:urr=on:flr=on:s2a=on:i=85:s2at=5.0:sd=1:ss=axioms:sgt=8:gsp=on:br=off_0 on Vampire---4 for (2993ds/85Mi)
% 1.31/1.01  % (27360)Refutation not found, incomplete strategy% (27360)------------------------------
% 1.31/1.01  % (27360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.01  % (27360)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.01  
% 1.31/1.01  % (27360)Memory used [KB]: 1029
% 1.31/1.01  % (27360)Time elapsed: 0.002 s
% 1.31/1.01  % (27360)Instructions burned: 3 (million)
% 1.31/1.01  % (27360)------------------------------
% 1.31/1.01  % (27360)------------------------------
% 1.31/1.01  % (27359)Refutation not found, incomplete strategy% (27359)------------------------------
% 1.31/1.01  % (27359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.01  % (27359)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.01  
% 1.31/1.01  % (27359)Memory used [KB]: 1365
% 1.31/1.01  % (27359)Time elapsed: 0.009 s
% 1.31/1.01  % (27359)Instructions burned: 17 (million)
% 1.31/1.01  % (27361)dis+1002_1:1_sil=2000:tgt=full:spb=goal:avsq=on:i=259:avsqr=19,107:er=known:rawr=on:nwc=3.7:cond=fast:abs=on_0 on Vampire---4 for (2993ds/259Mi)
% 1.31/1.01  % (27359)------------------------------
% 1.31/1.01  % (27359)------------------------------
% 1.31/1.02  % (27362)lrs+1010_1:1_to=lpo:sil=32000:plsq=on:plsqr=32,1:sp=frequency:sos=on:erd=off:newcnf=on:i=106:bd=off:rawr=on:sup=off_0 on Vampire---4 for (2993ds/106Mi)
% 1.31/1.02  % (27362)Refutation not found, incomplete strategy% (27362)------------------------------
% 1.31/1.02  % (27362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/1.02  % (27362)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.02  
% 1.31/1.02  % (27362)Memory used [KB]: 1243
% 1.31/1.02  % (27362)Time elapsed: 0.005 s
% 1.31/1.02  % (27362)Instructions burned: 9 (million)
% 1.31/1.02  % (27362)------------------------------
% 1.31/1.02  % (27362)------------------------------
% 1.57/1.02  % (27363)lrs+1010_1:28_sil=2000:s2agt=16:st=3.0:s2a=on:i=278:sd=3:ss=axioms:av=off:slsq=on_0 on Vampire---4 for (2993ds/278Mi)
% 1.57/1.02  % (27363)Refutation not found, incomplete strategy% (27363)------------------------------
% 1.57/1.02  % (27363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.57/1.02  % (27363)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.02  
% 1.57/1.02  % (27363)Memory used [KB]: 1029
% 1.57/1.02  % (27363)Time elapsed: 0.002 s
% 1.57/1.02  % (27363)Instructions burned: 3 (million)
% 1.57/1.02  % (27363)------------------------------
% 1.57/1.02  % (27363)------------------------------
% 1.57/1.03  % (27364)lrs+1011_1:10_to=lpo:sil=2000:nwc=5.0:st=5.0:i=151:nm=2:av=off:ss=included:bd=preordered:uhcvi=on:irw=on_0 on Vampire---4 for (2993ds/151Mi)
% 1.57/1.03  % (27307)Instruction limit reached!
% 1.57/1.03  % (27307)------------------------------
% 1.57/1.03  % (27307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.57/1.03  % (27307)Termination reason: Unknown
% 1.57/1.03  % (27307)Termination phase: Saturation
% 1.57/1.03  
% 1.57/1.03  % (27307)Memory used [KB]: 3126
% 1.57/1.03  % (27307)Time elapsed: 0.166 s
% 1.57/1.03  % (27307)Instructions burned: 360 (million)
% 1.57/1.03  % (27307)------------------------------
% 1.57/1.03  % (27307)------------------------------
% 1.57/1.03  % (27327)First to succeed.
% 1.57/1.03  % (27365)lrs+2_1:28_bsr=unit_only:slsqr=1,2:to=lpo:sil=4000:fde=none:sp=unary_first:spb=goal_then_units:slsqc=1:slsq=on:i=97:s2at=2.0:slsql=off:bd=off:nm=3:av=off:fsd=on:s2agt=32_0 on Vampire---4 for (2993ds/97Mi)
% 1.57/1.06  % (27327)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27272"
% 1.57/1.06  % (27327)Refutation found. Thanks to Tanya!
% 1.57/1.06  % SZS status Unsatisfiable for Vampire---4
% 1.57/1.06  % SZS output start Proof for Vampire---4
% See solution above
% 1.91/1.09  % (27327)------------------------------
% 1.91/1.09  % (27327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/1.09  % (27327)Termination reason: Refutation
% 1.91/1.09  
% 1.91/1.09  % (27327)Memory used [KB]: 2356
% 1.91/1.09  % (27327)Time elapsed: 0.160 s
% 1.91/1.09  % (27327)Instructions burned: 346 (million)
% 1.91/1.09  % (27272)Success in time 0.723 s
% 1.91/1.09  % Vampire---4.8 exiting
%------------------------------------------------------------------------------