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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : NUM375+1.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:39:02 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.47s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   23
% Syntax   : Number of formulae    : 1768 ( 156 unt;  22 def)
%            Number of atoms       : 5414 (2236 equ)
%            Maximal formula atoms :  232 (   3 avg)
%            Number of connectives : 6867 (3221   ~;2991   |; 633   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  216 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   24 (  22 usr;  23 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-2 aty)
%            Number of variables   :    6 (   0   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X,Y,Z] :
      ( n9 != n10
      & n8 != n10
      & n8 != n9
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & Z != n10
      & Z != n9
      & Z != n8
      & Z != n7
      & Z != n6
      & Z != n5
      & Z != n4
      & Z != n3
      & Z != n2
      & Z != n1
      & Z != n0
      & Z = sum(pred(sum(X,succ(Y))),sum(Y,pred(sum(X,Y))))
      & ( Y = n10
        | Y = n9
        | Y = n8
        | Y = n7
        | Y = n6
        | Y = n5
        | Y = n4
        | Y = n3
        | Y = n2
        | Y = n1
        | Y = n0 )
      & ( X = n10
        | X = n9
        | X = n8
        | X = n7
        | X = n6
        | X = n5
        | X = n4
        | X = n3
        | X = n2
        | X = n1
        | X = n0 )
      & sum(n10,n10) = n9
      & sum(n10,n9) = n8
      & sum(n10,n8) = n7
      & sum(n10,n7) = n6
      & sum(n10,n6) = n5
      & sum(n10,n5) = n4
      & sum(n10,n4) = n3
      & sum(n10,n3) = n2
      & sum(n10,n2) = n1
      & sum(n10,n1) = n0
      & sum(n10,n0) = n10
      & sum(n9,n10) = n8
      & sum(n9,n9) = n7
      & sum(n9,n8) = n6
      & sum(n9,n7) = n5
      & sum(n9,n6) = n4
      & sum(n9,n5) = n3
      & sum(n9,n4) = n2
      & sum(n9,n3) = n1
      & sum(n9,n2) = n0
      & sum(n9,n1) = n10
      & sum(n9,n0) = n9
      & sum(n8,n10) = n7
      & sum(n8,n9) = n6
      & sum(n8,n8) = n5
      & sum(n8,n7) = n4
      & sum(n8,n6) = n3
      & sum(n8,n5) = n2
      & sum(n8,n4) = n1
      & sum(n8,n3) = n0
      & sum(n8,n2) = n10
      & sum(n8,n1) = n9
      & sum(n8,n0) = n8
      & sum(n7,n10) = n6
      & sum(n7,n9) = n5
      & sum(n7,n8) = n4
      & sum(n7,n7) = n3
      & sum(n7,n6) = n2
      & sum(n7,n5) = n1
      & sum(n7,n4) = n0
      & sum(n7,n3) = n10
      & sum(n7,n2) = n9
      & sum(n7,n1) = n8
      & sum(n7,n0) = n7
      & sum(n6,n10) = n5
      & sum(n6,n9) = n4
      & sum(n6,n8) = n3
      & sum(n6,n7) = n2
      & sum(n6,n6) = n1
      & sum(n6,n5) = n0
      & sum(n6,n4) = n10
      & sum(n6,n3) = n9
      & sum(n6,n2) = n8
      & sum(n6,n1) = n7
      & sum(n6,n0) = n6
      & sum(n5,n10) = n4
      & sum(n5,n9) = n3
      & sum(n5,n8) = n2
      & sum(n5,n7) = n1
      & sum(n5,n6) = n0
      & sum(n5,n5) = n10
      & sum(n5,n4) = n9
      & sum(n5,n3) = n8
      & sum(n5,n2) = n7
      & sum(n5,n1) = n6
      & sum(n5,n0) = n5
      & sum(n4,n10) = n3
      & sum(n4,n9) = n2
      & sum(n4,n8) = n1
      & sum(n4,n7) = n0
      & sum(n4,n6) = n10
      & sum(n4,n5) = n9
      & sum(n4,n4) = n8
      & sum(n4,n3) = n7
      & sum(n4,n2) = n6
      & sum(n4,n1) = n5
      & sum(n4,n0) = n4
      & sum(n3,n10) = n2
      & sum(n3,n9) = n1
      & sum(n3,n8) = n0
      & sum(n3,n7) = n10
      & sum(n3,n6) = n9
      & sum(n3,n5) = n8
      & sum(n3,n4) = n7
      & sum(n3,n3) = n6
      & sum(n3,n2) = n5
      & sum(n3,n1) = n4
      & sum(n3,n0) = n3
      & sum(n2,n10) = n1
      & sum(n2,n9) = n0
      & sum(n2,n8) = n10
      & sum(n2,n7) = n9
      & sum(n2,n6) = n8
      & sum(n2,n5) = n7
      & sum(n2,n4) = n6
      & sum(n2,n3) = n5
      & sum(n2,n2) = n4
      & sum(n2,n1) = n3
      & sum(n2,n0) = n2
      & sum(n1,n10) = n0
      & sum(n1,n9) = n10
      & sum(n1,n8) = n9
      & sum(n1,n7) = n8
      & sum(n1,n6) = n7
      & sum(n1,n5) = n6
      & sum(n1,n4) = n5
      & sum(n1,n3) = n4
      & sum(n1,n2) = n3
      & sum(n1,n1) = n2
      & sum(n1,n0) = n1
      & sum(n0,n10) = n10
      & sum(n0,n9) = n9
      & sum(n0,n8) = n8
      & sum(n0,n7) = n7
      & sum(n0,n6) = n6
      & sum(n0,n5) = n5
      & sum(n0,n4) = n4
      & sum(n0,n3) = n3
      & sum(n0,n2) = n2
      & sum(n0,n1) = n1
      & sum(n0,n0) = n0
      & pred(n10) = n9
      & pred(n9) = n8
      & pred(n8) = n7
      & pred(n7) = n6
      & pred(n6) = n5
      & pred(n5) = n4
      & pred(n4) = n3
      & pred(n3) = n2
      & pred(n2) = n1
      & pred(n1) = n0
      & pred(n0) = n10
      & succ(n10) = n0
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,plain,
    ( n9 != n10
    & n8 != n10
    & n8 != n9
    & n7 != n10
    & n7 != n9
    & n7 != n8
    & n6 != n10
    & n6 != n9
    & n6 != n8
    & n6 != n7
    & n5 != n10
    & n5 != n9
    & n5 != n8
    & n5 != n7
    & n5 != n6
    & n4 != n10
    & n4 != n9
    & n4 != n8
    & n4 != n7
    & n4 != n6
    & n4 != n5
    & n3 != n10
    & n3 != n9
    & n3 != n8
    & n3 != n7
    & n3 != n6
    & n3 != n5
    & n3 != n4
    & n2 != n10
    & n2 != n9
    & n2 != n8
    & n2 != n7
    & n2 != n6
    & n2 != n5
    & n2 != n4
    & n2 != n3
    & n1 != n10
    & n1 != n9
    & n1 != n8
    & n1 != n7
    & n1 != n6
    & n1 != n5
    & n1 != n4
    & n1 != n3
    & n1 != n2
    & n0 != n10
    & n0 != n9
    & n0 != n8
    & n0 != n7
    & n0 != n6
    & n0 != n5
    & n0 != n4
    & n0 != n3
    & n0 != n2
    & n0 != n1
    & ? [Z] :
        ( Z != n10
        & Z != n9
        & Z != n8
        & Z != n7
        & Z != n6
        & Z != n5
        & Z != n4
        & Z != n3
        & Z != n2
        & Z != n1
        & Z != n0
        & ? [X,Y] :
            ( Z = sum(pred(sum(X,succ(Y))),sum(Y,pred(sum(X,Y))))
            & ( Y = n10
              | Y = n9
              | Y = n8
              | Y = n7
              | Y = n6
              | Y = n5
              | Y = n4
              | Y = n3
              | Y = n2
              | Y = n1
              | Y = n0 )
            & ( X = n10
              | X = n9
              | X = n8
              | X = n7
              | X = n6
              | X = n5
              | X = n4
              | X = n3
              | X = n2
              | X = n1
              | X = n0 )
            & sum(n10,n10) = n9
            & sum(n10,n9) = n8
            & sum(n10,n8) = n7
            & sum(n10,n7) = n6
            & sum(n10,n6) = n5
            & sum(n10,n5) = n4
            & sum(n10,n4) = n3
            & sum(n10,n3) = n2
            & sum(n10,n2) = n1
            & sum(n10,n1) = n0
            & sum(n10,n0) = n10
            & sum(n9,n10) = n8
            & sum(n9,n9) = n7
            & sum(n9,n8) = n6
            & sum(n9,n7) = n5
            & sum(n9,n6) = n4
            & sum(n9,n5) = n3
            & sum(n9,n4) = n2
            & sum(n9,n3) = n1
            & sum(n9,n2) = n0
            & sum(n9,n1) = n10
            & sum(n9,n0) = n9
            & sum(n8,n10) = n7
            & sum(n8,n9) = n6
            & sum(n8,n8) = n5
            & sum(n8,n7) = n4
            & sum(n8,n6) = n3
            & sum(n8,n5) = n2
            & sum(n8,n4) = n1
            & sum(n8,n3) = n0
            & sum(n8,n2) = n10
            & sum(n8,n1) = n9
            & sum(n8,n0) = n8
            & sum(n7,n10) = n6
            & sum(n7,n9) = n5
            & sum(n7,n8) = n4
            & sum(n7,n7) = n3
            & sum(n7,n6) = n2
            & sum(n7,n5) = n1
            & sum(n7,n4) = n0
            & sum(n7,n3) = n10
            & sum(n7,n2) = n9
            & sum(n7,n1) = n8
            & sum(n7,n0) = n7
            & sum(n6,n10) = n5
            & sum(n6,n9) = n4
            & sum(n6,n8) = n3
            & sum(n6,n7) = n2
            & sum(n6,n6) = n1
            & sum(n6,n5) = n0
            & sum(n6,n4) = n10
            & sum(n6,n3) = n9
            & sum(n6,n2) = n8
            & sum(n6,n1) = n7
            & sum(n6,n0) = n6
            & sum(n5,n10) = n4
            & sum(n5,n9) = n3
            & sum(n5,n8) = n2
            & sum(n5,n7) = n1
            & sum(n5,n6) = n0
            & sum(n5,n5) = n10
            & sum(n5,n4) = n9
            & sum(n5,n3) = n8
            & sum(n5,n2) = n7
            & sum(n5,n1) = n6
            & sum(n5,n0) = n5
            & sum(n4,n10) = n3
            & sum(n4,n9) = n2
            & sum(n4,n8) = n1
            & sum(n4,n7) = n0
            & sum(n4,n6) = n10
            & sum(n4,n5) = n9
            & sum(n4,n4) = n8
            & sum(n4,n3) = n7
            & sum(n4,n2) = n6
            & sum(n4,n1) = n5
            & sum(n4,n0) = n4
            & sum(n3,n10) = n2
            & sum(n3,n9) = n1
            & sum(n3,n8) = n0
            & sum(n3,n7) = n10
            & sum(n3,n6) = n9
            & sum(n3,n5) = n8
            & sum(n3,n4) = n7
            & sum(n3,n3) = n6
            & sum(n3,n2) = n5
            & sum(n3,n1) = n4
            & sum(n3,n0) = n3
            & sum(n2,n10) = n1
            & sum(n2,n9) = n0
            & sum(n2,n8) = n10
            & sum(n2,n7) = n9
            & sum(n2,n6) = n8
            & sum(n2,n5) = n7
            & sum(n2,n4) = n6
            & sum(n2,n3) = n5
            & sum(n2,n2) = n4
            & sum(n2,n1) = n3
            & sum(n2,n0) = n2
            & sum(n1,n10) = n0
            & sum(n1,n9) = n10
            & sum(n1,n8) = n9
            & sum(n1,n7) = n8
            & sum(n1,n6) = n7
            & sum(n1,n5) = n6
            & sum(n1,n4) = n5
            & sum(n1,n3) = n4
            & sum(n1,n2) = n3
            & sum(n1,n1) = n2
            & sum(n1,n0) = n1
            & sum(n0,n10) = n10
            & sum(n0,n9) = n9
            & sum(n0,n8) = n8
            & sum(n0,n7) = n7
            & sum(n0,n6) = n6
            & sum(n0,n5) = n5
            & sum(n0,n4) = n4
            & sum(n0,n3) = n3
            & sum(n0,n2) = n2
            & sum(n0,n1) = n1
            & sum(n0,n0) = n0
            & pred(n10) = n9
            & pred(n9) = n8
            & pred(n8) = n7
            & pred(n7) = n6
            & pred(n6) = n5
            & pred(n5) = n4
            & pred(n4) = n3
            & pred(n3) = n2
            & pred(n2) = n1
            & pred(n1) = n0
            & pred(n0) = n10
            & succ(n10) = n0
            & 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(miniscoping,[status(thm)],[f1]) ).

fof(f3,plain,
    ( n9 != n10
    & n8 != n10
    & n8 != n9
    & n7 != n10
    & n7 != n9
    & n7 != n8
    & n6 != n10
    & n6 != n9
    & n6 != n8
    & n6 != n7
    & n5 != n10
    & n5 != n9
    & n5 != n8
    & n5 != n7
    & n5 != n6
    & n4 != n10
    & n4 != n9
    & n4 != n8
    & n4 != n7
    & n4 != n6
    & n4 != n5
    & n3 != n10
    & n3 != n9
    & n3 != n8
    & n3 != n7
    & n3 != n6
    & n3 != n5
    & n3 != n4
    & n2 != n10
    & n2 != n9
    & n2 != n8
    & n2 != n7
    & n2 != n6
    & n2 != n5
    & n2 != n4
    & n2 != n3
    & n1 != n10
    & n1 != n9
    & n1 != n8
    & n1 != n7
    & n1 != n6
    & n1 != n5
    & n1 != n4
    & n1 != n3
    & n1 != n2
    & n0 != n10
    & n0 != n9
    & n0 != n8
    & n0 != n7
    & n0 != n6
    & n0 != n5
    & n0 != n4
    & n0 != n3
    & n0 != n2
    & n0 != n1
    & sK0_skl != n10
    & sK0_skl != n9
    & sK0_skl != n8
    & sK0_skl != n7
    & sK0_skl != n6
    & sK0_skl != n5
    & sK0_skl != n4
    & sK0_skl != n3
    & sK0_skl != n2
    & sK0_skl != n1
    & sK0_skl != n0
    & sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl))))
    & ( sK2_skl = n10
      | sK2_skl = n9
      | sK2_skl = n8
      | sK2_skl = n7
      | sK2_skl = n6
      | sK2_skl = n5
      | sK2_skl = n4
      | sK2_skl = n3
      | sK2_skl = n2
      | sK2_skl = n1
      | sK2_skl = n0 )
    & ( sK1_skl = n10
      | sK1_skl = n9
      | sK1_skl = n8
      | sK1_skl = n7
      | sK1_skl = n6
      | sK1_skl = n5
      | sK1_skl = n4
      | sK1_skl = n3
      | sK1_skl = n2
      | sK1_skl = n1
      | sK1_skl = n0 )
    & sum(n10,n10) = n9
    & sum(n10,n9) = n8
    & sum(n10,n8) = n7
    & sum(n10,n7) = n6
    & sum(n10,n6) = n5
    & sum(n10,n5) = n4
    & sum(n10,n4) = n3
    & sum(n10,n3) = n2
    & sum(n10,n2) = n1
    & sum(n10,n1) = n0
    & sum(n10,n0) = n10
    & sum(n9,n10) = n8
    & sum(n9,n9) = n7
    & sum(n9,n8) = n6
    & sum(n9,n7) = n5
    & sum(n9,n6) = n4
    & sum(n9,n5) = n3
    & sum(n9,n4) = n2
    & sum(n9,n3) = n1
    & sum(n9,n2) = n0
    & sum(n9,n1) = n10
    & sum(n9,n0) = n9
    & sum(n8,n10) = n7
    & sum(n8,n9) = n6
    & sum(n8,n8) = n5
    & sum(n8,n7) = n4
    & sum(n8,n6) = n3
    & sum(n8,n5) = n2
    & sum(n8,n4) = n1
    & sum(n8,n3) = n0
    & sum(n8,n2) = n10
    & sum(n8,n1) = n9
    & sum(n8,n0) = n8
    & sum(n7,n10) = n6
    & sum(n7,n9) = n5
    & sum(n7,n8) = n4
    & sum(n7,n7) = n3
    & sum(n7,n6) = n2
    & sum(n7,n5) = n1
    & sum(n7,n4) = n0
    & sum(n7,n3) = n10
    & sum(n7,n2) = n9
    & sum(n7,n1) = n8
    & sum(n7,n0) = n7
    & sum(n6,n10) = n5
    & sum(n6,n9) = n4
    & sum(n6,n8) = n3
    & sum(n6,n7) = n2
    & sum(n6,n6) = n1
    & sum(n6,n5) = n0
    & sum(n6,n4) = n10
    & sum(n6,n3) = n9
    & sum(n6,n2) = n8
    & sum(n6,n1) = n7
    & sum(n6,n0) = n6
    & sum(n5,n10) = n4
    & sum(n5,n9) = n3
    & sum(n5,n8) = n2
    & sum(n5,n7) = n1
    & sum(n5,n6) = n0
    & sum(n5,n5) = n10
    & sum(n5,n4) = n9
    & sum(n5,n3) = n8
    & sum(n5,n2) = n7
    & sum(n5,n1) = n6
    & sum(n5,n0) = n5
    & sum(n4,n10) = n3
    & sum(n4,n9) = n2
    & sum(n4,n8) = n1
    & sum(n4,n7) = n0
    & sum(n4,n6) = n10
    & sum(n4,n5) = n9
    & sum(n4,n4) = n8
    & sum(n4,n3) = n7
    & sum(n4,n2) = n6
    & sum(n4,n1) = n5
    & sum(n4,n0) = n4
    & sum(n3,n10) = n2
    & sum(n3,n9) = n1
    & sum(n3,n8) = n0
    & sum(n3,n7) = n10
    & sum(n3,n6) = n9
    & sum(n3,n5) = n8
    & sum(n3,n4) = n7
    & sum(n3,n3) = n6
    & sum(n3,n2) = n5
    & sum(n3,n1) = n4
    & sum(n3,n0) = n3
    & sum(n2,n10) = n1
    & sum(n2,n9) = n0
    & sum(n2,n8) = n10
    & sum(n2,n7) = n9
    & sum(n2,n6) = n8
    & sum(n2,n5) = n7
    & sum(n2,n4) = n6
    & sum(n2,n3) = n5
    & sum(n2,n2) = n4
    & sum(n2,n1) = n3
    & sum(n2,n0) = n2
    & sum(n1,n10) = n0
    & sum(n1,n9) = n10
    & sum(n1,n8) = n9
    & sum(n1,n7) = n8
    & sum(n1,n6) = n7
    & sum(n1,n5) = n6
    & sum(n1,n4) = n5
    & sum(n1,n3) = n4
    & sum(n1,n2) = n3
    & sum(n1,n1) = n2
    & sum(n1,n0) = n1
    & sum(n0,n10) = n10
    & sum(n0,n9) = n9
    & sum(n0,n8) = n8
    & sum(n0,n7) = n7
    & sum(n0,n6) = n6
    & sum(n0,n5) = n5
    & sum(n0,n4) = n4
    & sum(n0,n3) = n3
    & sum(n0,n2) = n2
    & sum(n0,n1) = n1
    & sum(n0,n0) = n0
    & pred(n10) = n9
    & pred(n9) = n8
    & pred(n8) = n7
    & pred(n7) = n6
    & pred(n6) = n5
    & pred(n5) = n4
    & pred(n4) = n3
    & pred(n3) = n2
    & pred(n2) = n1
    & pred(n1) = n0
    & pred(n0) = n10
    & succ(n10) = n0
    & 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(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Z,sK0_skl),skolemize(X,sK1_skl),skolemize(Y,sK2_skl)],[f2]) ).

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

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

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

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

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

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

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

fof(f11,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

fof(f13,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f14,plain,
    succ(n10) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f15,plain,
    pred(n0) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f16,plain,
    pred(n1) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f17,plain,
    pred(n2) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f18,plain,
    pred(n3) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f19,plain,
    pred(n4) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f20,plain,
    pred(n5) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f21,plain,
    pred(n6) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f22,plain,
    pred(n7) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f23,plain,
    pred(n8) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f24,plain,
    pred(n9) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f25,plain,
    pred(n10) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f26,plain,
    sum(n0,n0) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f27,plain,
    sum(n0,n1) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f28,plain,
    sum(n0,n2) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f29,plain,
    sum(n0,n3) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f30,plain,
    sum(n0,n4) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f31,plain,
    sum(n0,n5) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f32,plain,
    sum(n0,n6) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f33,plain,
    sum(n0,n7) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f34,plain,
    sum(n0,n8) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f35,plain,
    sum(n0,n9) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f36,plain,
    sum(n0,n10) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

fof(f38,plain,
    sum(n1,n1) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f39,plain,
    sum(n1,n2) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f40,plain,
    sum(n1,n3) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f41,plain,
    sum(n1,n4) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f42,plain,
    sum(n1,n5) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f43,plain,
    sum(n1,n6) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f44,plain,
    sum(n1,n7) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f45,plain,
    sum(n1,n8) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f46,plain,
    sum(n1,n9) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f47,plain,
    sum(n1,n10) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f48,plain,
    sum(n2,n0) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f49,plain,
    sum(n2,n1) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f50,plain,
    sum(n2,n2) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f51,plain,
    sum(n2,n3) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f52,plain,
    sum(n2,n4) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f53,plain,
    sum(n2,n5) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f54,plain,
    sum(n2,n6) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f55,plain,
    sum(n2,n7) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f56,plain,
    sum(n2,n8) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f57,plain,
    sum(n2,n9) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f58,plain,
    sum(n2,n10) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f59,plain,
    sum(n3,n0) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f60,plain,
    sum(n3,n1) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f61,plain,
    sum(n3,n2) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f62,plain,
    sum(n3,n3) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f63,plain,
    sum(n3,n4) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f64,plain,
    sum(n3,n5) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f65,plain,
    sum(n3,n6) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f66,plain,
    sum(n3,n7) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f67,plain,
    sum(n3,n8) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f68,plain,
    sum(n3,n9) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f69,plain,
    sum(n3,n10) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f70,plain,
    sum(n4,n0) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f71,plain,
    sum(n4,n1) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

fof(f73,plain,
    sum(n4,n3) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f74,plain,
    sum(n4,n4) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f75,plain,
    sum(n4,n5) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f76,plain,
    sum(n4,n6) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f77,plain,
    sum(n4,n7) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f78,plain,
    sum(n4,n8) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f79,plain,
    sum(n4,n9) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f80,plain,
    sum(n4,n10) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f81,plain,
    sum(n5,n0) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f82,plain,
    sum(n5,n1) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f83,plain,
    sum(n5,n2) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f84,plain,
    sum(n5,n3) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f85,plain,
    sum(n5,n4) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f86,plain,
    sum(n5,n5) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f87,plain,
    sum(n5,n6) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f88,plain,
    sum(n5,n7) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f89,plain,
    sum(n5,n8) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f90,plain,
    sum(n5,n9) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f91,plain,
    sum(n5,n10) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f92,plain,
    sum(n6,n0) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f93,plain,
    sum(n6,n1) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f94,plain,
    sum(n6,n2) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f95,plain,
    sum(n6,n3) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f96,plain,
    sum(n6,n4) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f97,plain,
    sum(n6,n5) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f98,plain,
    sum(n6,n6) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f99,plain,
    sum(n6,n7) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f100,plain,
    sum(n6,n8) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f101,plain,
    sum(n6,n9) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f102,plain,
    sum(n6,n10) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f103,plain,
    sum(n7,n0) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f104,plain,
    sum(n7,n1) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f105,plain,
    sum(n7,n2) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f106,plain,
    sum(n7,n3) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f107,plain,
    sum(n7,n4) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f108,plain,
    sum(n7,n5) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f109,plain,
    sum(n7,n6) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f110,plain,
    sum(n7,n7) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f111,plain,
    sum(n7,n8) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f112,plain,
    sum(n7,n9) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f113,plain,
    sum(n7,n10) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f114,plain,
    sum(n8,n0) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f115,plain,
    sum(n8,n1) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f116,plain,
    sum(n8,n2) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f117,plain,
    sum(n8,n3) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f118,plain,
    sum(n8,n4) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f119,plain,
    sum(n8,n5) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f120,plain,
    sum(n8,n6) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f121,plain,
    sum(n8,n7) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f122,plain,
    sum(n8,n8) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f123,plain,
    sum(n8,n9) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f124,plain,
    sum(n8,n10) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f125,plain,
    sum(n9,n0) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f126,plain,
    sum(n9,n1) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f127,plain,
    sum(n9,n2) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f128,plain,
    sum(n9,n3) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f129,plain,
    sum(n9,n4) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f130,plain,
    sum(n9,n5) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f131,plain,
    sum(n9,n6) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f132,plain,
    sum(n9,n7) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f133,plain,
    sum(n9,n8) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f134,plain,
    sum(n9,n9) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f135,plain,
    sum(n9,n10) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f136,plain,
    sum(n10,n0) = n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f137,plain,
    sum(n10,n1) = n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f138,plain,
    sum(n10,n2) = n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f139,plain,
    sum(n10,n3) = n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f140,plain,
    sum(n10,n4) = n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f141,plain,
    sum(n10,n5) = n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f142,plain,
    sum(n10,n6) = n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f143,plain,
    sum(n10,n7) = n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f144,plain,
    sum(n10,n8) = n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f145,plain,
    sum(n10,n9) = n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f146,plain,
    sum(n10,n10) = n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f147,plain,
    ( sK1_skl = n10
    | sK1_skl = n9
    | sK1_skl = n8
    | sK1_skl = n7
    | sK1_skl = n6
    | sK1_skl = n5
    | sK1_skl = n4
    | sK1_skl = n3
    | sK1_skl = n2
    | sK1_skl = n1
    | sK1_skl = n0 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f148,plain,
    ( sK2_skl = n10
    | sK2_skl = n9
    | sK2_skl = n8
    | sK2_skl = n7
    | sK2_skl = n6
    | sK2_skl = n5
    | sK2_skl = n4
    | sK2_skl = n3
    | sK2_skl = n2
    | sK2_skl = n1
    | sK2_skl = n0 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f149,plain,
    sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f150,plain,
    sK0_skl != n0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f151,plain,
    sK0_skl != n1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f152,plain,
    sK0_skl != n2,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f153,plain,
    sK0_skl != n3,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f154,plain,
    sK0_skl != n4,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f155,plain,
    sK0_skl != n5,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f156,plain,
    sK0_skl != n6,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f157,plain,
    sK0_skl != n7,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f158,plain,
    sK0_skl != n8,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f159,plain,
    sK0_skl != n9,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f160,plain,
    sK0_skl != n10,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f216,definition,
    ( sQ0_spl
  <=> sK1_skl = n0 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f217,plain,
    ( ~ sQ0_spl
    | sK1_skl = n0 ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f219,definition,
    ( sQ1_spl
  <=> sK1_skl = n1 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f220,plain,
    ( ~ sQ1_spl
    | sK1_skl = n1 ),
    inference(component_clause,[status(thm)],[f219]) ).

fof(f222,definition,
    ( sQ2_spl
  <=> sK1_skl = n2 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f223,plain,
    ( ~ sQ2_spl
    | sK1_skl = n2 ),
    inference(component_clause,[status(thm)],[f222]) ).

fof(f225,definition,
    ( sQ3_spl
  <=> sK1_skl = n3 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f226,plain,
    ( ~ sQ3_spl
    | sK1_skl = n3 ),
    inference(component_clause,[status(thm)],[f225]) ).

fof(f228,definition,
    ( sQ4_spl
  <=> sK1_skl = n4 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f229,plain,
    ( ~ sQ4_spl
    | sK1_skl = n4 ),
    inference(component_clause,[status(thm)],[f228]) ).

fof(f231,definition,
    ( sQ5_spl
  <=> sK1_skl = n5 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f232,plain,
    ( ~ sQ5_spl
    | sK1_skl = n5 ),
    inference(component_clause,[status(thm)],[f231]) ).

fof(f234,definition,
    ( sQ6_spl
  <=> sK1_skl = n6 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f235,plain,
    ( ~ sQ6_spl
    | sK1_skl = n6 ),
    inference(component_clause,[status(thm)],[f234]) ).

fof(f237,definition,
    ( sQ7_spl
  <=> sK1_skl = n7 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f238,plain,
    ( ~ sQ7_spl
    | sK1_skl = n7 ),
    inference(component_clause,[status(thm)],[f237]) ).

fof(f240,definition,
    ( sQ8_spl
  <=> sK1_skl = n8 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f241,plain,
    ( ~ sQ8_spl
    | sK1_skl = n8 ),
    inference(component_clause,[status(thm)],[f240]) ).

fof(f243,definition,
    ( sQ9_spl
  <=> sK1_skl = n9 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f244,plain,
    ( ~ sQ9_spl
    | sK1_skl = n9 ),
    inference(component_clause,[status(thm)],[f243]) ).

fof(f246,definition,
    ( sQ10_spl
  <=> sK1_skl = n10 ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f247,plain,
    ( ~ sQ10_spl
    | sK1_skl = n10 ),
    inference(component_clause,[status(thm)],[f246]) ).

fof(f249,plain,
    ( sQ10_spl
    | sQ9_spl
    | sQ8_spl
    | sQ7_spl
    | sQ6_spl
    | sQ5_spl
    | sQ4_spl
    | sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f147,f216,f219,f222,f225,f228,f231,f234,f237,f240,f243,f246]) ).

fof(f250,definition,
    ( sQ11_spl
  <=> sK2_skl = n0 ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f251,plain,
    ( ~ sQ11_spl
    | sK2_skl = n0 ),
    inference(component_clause,[status(thm)],[f250]) ).

fof(f253,definition,
    ( sQ12_spl
  <=> sK2_skl = n1 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f254,plain,
    ( ~ sQ12_spl
    | sK2_skl = n1 ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f256,definition,
    ( sQ13_spl
  <=> sK2_skl = n2 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f257,plain,
    ( ~ sQ13_spl
    | sK2_skl = n2 ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f259,definition,
    ( sQ14_spl
  <=> sK2_skl = n3 ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f260,plain,
    ( ~ sQ14_spl
    | sK2_skl = n3 ),
    inference(component_clause,[status(thm)],[f259]) ).

fof(f262,definition,
    ( sQ15_spl
  <=> sK2_skl = n4 ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f263,plain,
    ( ~ sQ15_spl
    | sK2_skl = n4 ),
    inference(component_clause,[status(thm)],[f262]) ).

fof(f265,definition,
    ( sQ16_spl
  <=> sK2_skl = n5 ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f266,plain,
    ( ~ sQ16_spl
    | sK2_skl = n5 ),
    inference(component_clause,[status(thm)],[f265]) ).

fof(f268,definition,
    ( sQ17_spl
  <=> sK2_skl = n6 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f269,plain,
    ( ~ sQ17_spl
    | sK2_skl = n6 ),
    inference(component_clause,[status(thm)],[f268]) ).

fof(f271,definition,
    ( sQ18_spl
  <=> sK2_skl = n7 ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f272,plain,
    ( ~ sQ18_spl
    | sK2_skl = n7 ),
    inference(component_clause,[status(thm)],[f271]) ).

fof(f274,definition,
    ( sQ19_spl
  <=> sK2_skl = n8 ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f275,plain,
    ( ~ sQ19_spl
    | sK2_skl = n8 ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f277,definition,
    ( sQ20_spl
  <=> sK2_skl = n9 ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f278,plain,
    ( ~ sQ20_spl
    | sK2_skl = n9 ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f280,definition,
    ( sQ21_spl
  <=> sK2_skl = n10 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f281,plain,
    ( ~ sQ21_spl
    | sK2_skl = n10 ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f283,plain,
    ( sQ21_spl
    | sQ20_spl
    | sQ19_spl
    | sQ18_spl
    | sQ17_spl
    | sQ16_spl
    | sQ15_spl
    | sQ14_spl
    | sQ13_spl
    | sQ12_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f148,f250,f253,f256,f259,f262,f265,f268,f271,f274,f277,f280]) ).

fof(f304,plain,
    ( ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f149]) ).

fof(f305,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n10,succ(n0))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f304]) ).

fof(f306,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n10,n1)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f305]) ).

fof(f307,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f137,f306]) ).

fof(f308,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f307]) ).

fof(f309,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,sum(n0,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f308]) ).

fof(f310,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,sum(n0,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f309]) ).

fof(f311,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,sum(n0,pred(sum(n10,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f310]) ).

fof(f312,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,sum(n0,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f136,f311]) ).

fof(f313,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,sum(n0,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f312]) ).

fof(f314,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n10,n9) ),
    inference(forward_demodulation,[status(thm)],[f35,f313]) ).

fof(f315,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f145,f314]) ).

fof(f316,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f315,f158]) ).

fof(f317,plain,
    ( ~ sQ10_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f316]) ).

fof(f343,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f217,f149]) ).

fof(f344,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n0,succ(n0))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f343]) ).

fof(f345,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n0,n1)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f344]) ).

fof(f346,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f27,f345]) ).

fof(f347,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f346]) ).

fof(f348,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,sum(n0,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f347]) ).

fof(f349,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,sum(n0,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f217,f348]) ).

fof(f350,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,sum(n0,pred(sum(n0,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f349]) ).

fof(f351,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,sum(n0,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f26,f350]) ).

fof(f352,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,sum(n0,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f351]) ).

fof(f353,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n0,n10) ),
    inference(forward_demodulation,[status(thm)],[f36,f352]) ).

fof(f354,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f36,f353]) ).

fof(f355,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f354,f160]) ).

fof(f356,plain,
    ( ~ sQ0_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f355]) ).

fof(f365,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f149]) ).

fof(f372,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n1))),sum(sK2_skl,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f365]) ).

fof(f373,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n2)),sum(sK2_skl,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f372]) ).

fof(f374,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n2)),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f373]) ).

fof(f394,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n2)),sum(n1,pred(sum(n5,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f232,f374]) ).

fof(f399,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f232,f394]) ).

fof(f400,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(pred(n7),sum(n1,pred(sum(n5,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f83,f399]) ).

fof(f401,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(n6,sum(n1,pred(sum(n5,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f400]) ).

fof(f402,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(n6,sum(n1,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f82,f401]) ).

fof(f403,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(n6,sum(n1,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f402]) ).

fof(f404,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = sum(n6,n6) ),
    inference(forward_demodulation,[status(thm)],[f42,f403]) ).

fof(f405,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f98,f404]) ).

fof(f406,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f405,f151]) ).

fof(f407,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f406]) ).

fof(f408,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f220,f149]) ).

fof(f419,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f408]) ).

fof(f426,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n1,succ(n2))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f419]) ).

fof(f427,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n1,n3)),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f426]) ).

fof(f428,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f40,f427]) ).

fof(f429,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f428]) ).

fof(f430,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n3,sum(n2,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f429]) ).

fof(f431,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n3,sum(n2,pred(sum(n1,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f430]) ).

fof(f432,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n3,sum(n2,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f39,f431]) ).

fof(f433,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n3,sum(n2,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f432]) ).

fof(f434,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n3,n4) ),
    inference(forward_demodulation,[status(thm)],[f50,f433]) ).

fof(f435,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f63,f434]) ).

fof(f436,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f435,f157]) ).

fof(f437,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f436]) ).

fof(f446,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f238,f149]) ).

fof(f449,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f446]) ).

fof(f457,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n7,succ(n3))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f449]) ).

fof(f458,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n7,n4)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f457]) ).

fof(f459,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f107,f458]) ).

fof(f460,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f459]) ).

fof(f461,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n10,sum(n3,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f460]) ).

fof(f462,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n10,sum(n3,pred(sum(n7,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f461]) ).

fof(f463,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n10,sum(n3,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f106,f462]) ).

fof(f464,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n10,sum(n3,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f463]) ).

fof(f465,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n10,n1) ),
    inference(forward_demodulation,[status(thm)],[f68,f464]) ).

fof(f466,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f137,f465]) ).

fof(f467,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f466,f150]) ).

fof(f468,plain,
    ( ~ sQ7_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f467]) ).

fof(f469,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f226,f149]) ).

fof(f480,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f469]) ).

fof(f488,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n3,succ(n4))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f480]) ).

fof(f489,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n3,n5)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f488]) ).

fof(f490,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f64,f489]) ).

fof(f491,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f490]) ).

fof(f492,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n7,sum(n4,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f491]) ).

fof(f493,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n7,sum(n4,pred(sum(n3,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f492]) ).

fof(f494,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n7,sum(n4,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f63,f493]) ).

fof(f495,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n7,sum(n4,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f494]) ).

fof(f496,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n7,n10) ),
    inference(forward_demodulation,[status(thm)],[f76,f495]) ).

fof(f497,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f113,f496]) ).

fof(f498,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f497,f156]) ).

fof(f499,plain,
    ( ~ sQ3_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f498]) ).

fof(f510,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f241,f149]) ).

fof(f511,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f241,f510]) ).

fof(f520,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n8,succ(n5))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f511]) ).

fof(f521,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n8,n6)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f520]) ).

fof(f522,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f120,f521]) ).

fof(f523,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f522]) ).

fof(f524,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n2,sum(n5,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f523]) ).

fof(f525,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n2,sum(n5,pred(sum(n8,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f524]) ).

fof(f526,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n2,sum(n5,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f119,f525]) ).

fof(f527,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n2,sum(n5,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f526]) ).

fof(f528,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n2,n6) ),
    inference(forward_demodulation,[status(thm)],[f82,f527]) ).

fof(f529,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f54,f528]) ).

fof(f530,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f529,f158]) ).

fof(f531,plain,
    ( ~ sQ8_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f530]) ).

fof(f532,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f229,f149]) ).

fof(f543,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f532]) ).

fof(f552,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n4,succ(n6))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f543]) ).

fof(f553,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n4,n7)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f552]) ).

fof(f554,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f77,f553]) ).

fof(f555,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f554]) ).

fof(f556,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n10,sum(n6,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f555]) ).

fof(f557,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n10,sum(n6,pred(sum(n4,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f556]) ).

fof(f558,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n10,sum(n6,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f76,f557]) ).

fof(f559,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n10,sum(n6,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f558]) ).

fof(f560,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n10,n4) ),
    inference(forward_demodulation,[status(thm)],[f101,f559]) ).

fof(f561,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f140,f560]) ).

fof(f562,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f561,f153]) ).

fof(f563,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f562]) ).

fof(f572,plain,
    ( ~ sQ6_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f235,f149]) ).

fof(f574,plain,
    ( ~ sQ6_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f235,f572]) ).

fof(f584,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n6,succ(n7))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f574]) ).

fof(f585,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n6,n8)),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f584]) ).

fof(f586,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f100,f585]) ).

fof(f587,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f586]) ).

fof(f588,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n2,sum(n7,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f587]) ).

fof(f589,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n2,sum(n7,pred(sum(n6,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f588]) ).

fof(f590,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n2,sum(n7,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f99,f589]) ).

fof(f591,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n2,sum(n7,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f590]) ).

fof(f592,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n2,n8) ),
    inference(forward_demodulation,[status(thm)],[f104,f591]) ).

fof(f593,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f56,f592]) ).

fof(f594,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f593,f160]) ).

fof(f595,plain,
    ( ~ sQ6_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f594]) ).

fof(f596,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f223,f149]) ).

fof(f606,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f223,f596]) ).

fof(f616,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n2,succ(n8))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f606]) ).

fof(f617,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n2,n9)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f616]) ).

fof(f618,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f57,f617]) ).

fof(f619,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f618]) ).

fof(f620,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n10,sum(n8,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f619]) ).

fof(f621,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n10,sum(n8,pred(sum(n2,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f620]) ).

fof(f622,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n10,sum(n8,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f56,f621]) ).

fof(f623,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n10,sum(n8,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f622]) ).

fof(f624,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n10,n6) ),
    inference(forward_demodulation,[status(thm)],[f123,f623]) ).

fof(f625,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f142,f624]) ).

fof(f626,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f625,f155]) ).

fof(f627,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f626]) ).

fof(f635,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f217,f149]) ).

fof(f638,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f217,f635]) ).

fof(f640,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f217,f343]) ).

fof(f650,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f640]) ).

fof(f651,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n0,succ(n1))),sum(sK2_skl,pred(sum(n0,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f650]) ).

fof(f652,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n0,n2)),sum(sK2_skl,pred(sum(n0,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f651]) ).

fof(f653,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n0,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f28,f652]) ).

fof(f654,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n0,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f653]) ).

fof(f655,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n1,sum(n1,pred(sum(n0,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f654]) ).

fof(f656,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n1,sum(n1,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f27,f655]) ).

fof(f657,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n1,sum(n1,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f656]) ).

fof(f658,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n1,n1) ),
    inference(forward_demodulation,[status(thm)],[f37,f657]) ).

fof(f659,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f38,f658]) ).

fof(f660,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f659,f152]) ).

fof(f661,plain,
    ( ~ sQ0_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f660]) ).

fof(f662,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f232,f149]) ).

fof(f673,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f232,f662]) ).

fof(f683,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n5,succ(n3))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f673]) ).

fof(f684,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n5,n4)),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f683]) ).

fof(f685,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f85,f684]) ).

fof(f686,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f685]) ).

fof(f687,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n8,sum(n3,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f686]) ).

fof(f688,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n8,sum(n3,pred(sum(n5,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f687]) ).

fof(f689,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n8,sum(n3,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f84,f688]) ).

fof(f690,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n8,sum(n3,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f689]) ).

fof(f691,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n8,n10) ),
    inference(forward_demodulation,[status(thm)],[f66,f690]) ).

fof(f692,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f124,f691]) ).

fof(f693,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f692,f157]) ).

fof(f694,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f693]) ).

fof(f704,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f238,f149]) ).

fof(f706,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f704]) ).

fof(f707,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,n5)))) ),
    inference(backward_demodulation,[status(thm)],[f266,f449]) ).

fof(f717,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n7,succ(n5))),sum(sK2_skl,pred(sum(n7,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f707]) ).

fof(f718,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n7,n6)),sum(sK2_skl,pred(sum(n7,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f717]) ).

fof(f719,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n7,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f109,f718]) ).

fof(f720,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n7,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f719]) ).

fof(f721,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n1,sum(n5,pred(sum(n7,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f720]) ).

fof(f722,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n1,sum(n5,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f108,f721]) ).

fof(f723,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n1,sum(n5,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f722]) ).

fof(f724,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n1,n5) ),
    inference(forward_demodulation,[status(thm)],[f81,f723]) ).

fof(f725,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f42,f724]) ).

fof(f726,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f725,f156]) ).

fof(f727,plain,
    ( ~ sQ7_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f726]) ).

fof(f730,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f241,f149]) ).

fof(f739,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f241,f730]) ).

fof(f749,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n8,succ(n7))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f511]) ).

fof(f750,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n8,n8)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f749]) ).

fof(f751,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f122,f750]) ).

fof(f752,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f751]) ).

fof(f753,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n4,sum(n7,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f752]) ).

fof(f754,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n4,sum(n7,pred(sum(n8,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f753]) ).

fof(f755,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n4,sum(n7,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f121,f754]) ).

fof(f756,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n4,sum(n7,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f755]) ).

fof(f757,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n4,n10) ),
    inference(forward_demodulation,[status(thm)],[f106,f756]) ).

fof(f758,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f80,f757]) ).

fof(f759,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f758,f153]) ).

fof(f760,plain,
    ( ~ sQ8_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f759]) ).

fof(f765,plain,
    ( ~ sQ6_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f235,f149]) ).

fof(f771,plain,
    ( ~ sQ6_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f235,f765]) ).

fof(f772,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n2)))) ),
    inference(backward_demodulation,[status(thm)],[f257,f574]) ).

fof(f782,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n6,succ(n2))),sum(sK2_skl,pred(sum(n6,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f772]) ).

fof(f783,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n6,n3)),sum(sK2_skl,pred(sum(n6,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f782]) ).

fof(f784,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n6,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f95,f783]) ).

fof(f785,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n6,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f784]) ).

fof(f786,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n8,sum(n2,pred(sum(n6,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f785]) ).

fof(f787,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n8,sum(n2,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f94,f786]) ).

fof(f788,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n8,sum(n2,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f787]) ).

fof(f789,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n8,n9) ),
    inference(forward_demodulation,[status(thm)],[f55,f788]) ).

fof(f790,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f123,f789]) ).

fof(f791,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f790,f156]) ).

fof(f792,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f791]) ).

fof(f794,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f220,f149]) ).

fof(f803,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f794]) ).

fof(f813,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n1,succ(n4))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f419]) ).

fof(f814,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n1,n5)),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f813]) ).

fof(f815,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f42,f814]) ).

fof(f816,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f815]) ).

fof(f817,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n5,sum(n4,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f816]) ).

fof(f818,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n5,sum(n4,pred(sum(n1,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f817]) ).

fof(f819,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n5,sum(n4,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f41,f818]) ).

fof(f820,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n5,sum(n4,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f819]) ).

fof(f821,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n5,n8) ),
    inference(forward_demodulation,[status(thm)],[f74,f820]) ).

fof(f822,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f89,f821]) ).

fof(f823,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f822,f152]) ).

fof(f824,plain,
    ( ~ sQ1_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f823]) ).

fof(f833,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f226,f149]) ).

fof(f835,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f833]) ).

fof(f845,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n3,succ(n6))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f480]) ).

fof(f846,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n3,n7)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f845]) ).

fof(f847,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f66,f846]) ).

fof(f848,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f847]) ).

fof(f849,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n9,sum(n6,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f848]) ).

fof(f850,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n9,sum(n6,pred(sum(n3,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f849]) ).

fof(f851,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n9,sum(n6,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f65,f850]) ).

fof(f852,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n9,sum(n6,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f851]) ).

fof(f853,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n9,n3) ),
    inference(forward_demodulation,[status(thm)],[f100,f852]) ).

fof(f854,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f128,f853]) ).

fof(f855,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f854,f151]) ).

fof(f856,plain,
    ( ~ sQ3_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f855]) ).

fof(f857,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f229,f149]) ).

fof(f867,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f857]) ).

fof(f877,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n4,succ(n8))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f543]) ).

fof(f878,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n4,n9)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f877]) ).

fof(f879,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f79,f878]) ).

fof(f880,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f879]) ).

fof(f881,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n1,sum(n8,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f880]) ).

fof(f882,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n1,sum(n8,pred(sum(n4,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f881]) ).

fof(f883,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n1,sum(n8,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f78,f882]) ).

fof(f884,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n1,sum(n8,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f883]) ).

fof(f885,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n1,n8) ),
    inference(forward_demodulation,[status(thm)],[f114,f884]) ).

fof(f886,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f45,f885]) ).

fof(f887,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f886,f159]) ).

fof(f888,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f887]) ).

fof(f896,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f223,f149]) ).

fof(f899,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f223,f896]) ).

fof(f909,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n2,succ(n3))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f606]) ).

fof(f910,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n2,n4)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f909]) ).

fof(f911,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f52,f910]) ).

fof(f912,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f911]) ).

fof(f913,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n5,sum(n3,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f912]) ).

fof(f914,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n5,sum(n3,pred(sum(n2,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f913]) ).

fof(f915,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n5,sum(n3,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f51,f914]) ).

fof(f916,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n5,sum(n3,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f915]) ).

fof(f917,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n5,n7) ),
    inference(forward_demodulation,[status(thm)],[f63,f916]) ).

fof(f918,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f88,f917]) ).

fof(f919,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f918,f151]) ).

fof(f920,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f919]) ).

fof(f924,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f217,f149]) ).

fof(f931,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f217,f924]) ).

fof(f932,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n5)))) ),
    inference(backward_demodulation,[status(thm)],[f266,f638]) ).

fof(f942,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n0,succ(n5))),sum(sK2_skl,pred(sum(n0,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f932]) ).

fof(f943,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n0,n6)),sum(sK2_skl,pred(sum(n0,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f942]) ).

fof(f944,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n0,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f32,f943]) ).

fof(f945,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n0,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f944]) ).

fof(f946,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n5,sum(n5,pred(sum(n0,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f945]) ).

fof(f947,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n5,sum(n5,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f31,f946]) ).

fof(f948,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n5,sum(n5,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f947]) ).

fof(f949,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n5,n9) ),
    inference(forward_demodulation,[status(thm)],[f85,f948]) ).

fof(f950,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f90,f949]) ).

fof(f951,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f950,f153]) ).

fof(f952,plain,
    ( ~ sQ0_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f951]) ).

fof(f959,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f244,f149]) ).

fof(f964,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f244,f959]) ).

fof(f974,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n9,succ(n0))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f964]) ).

fof(f975,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n9,n1)),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f974]) ).

fof(f976,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f126,f975]) ).

fof(f977,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f976]) ).

fof(f978,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n9,sum(n0,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f977]) ).

fof(f979,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n9,sum(n0,pred(sum(n9,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f978]) ).

fof(f980,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n9,sum(n0,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f125,f979]) ).

fof(f981,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n9,sum(n0,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f980]) ).

fof(f982,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n9,n8) ),
    inference(forward_demodulation,[status(thm)],[f34,f981]) ).

fof(f983,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f133,f982]) ).

fof(f984,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f983,f156]) ).

fof(f985,plain,
    ( ~ sQ9_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f984]) ).

fof(f995,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,n7)))) ),
    inference(backward_demodulation,[status(thm)],[f272,f964]) ).

fof(f996,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n9,succ(n7))),sum(sK2_skl,pred(sum(n9,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f995]) ).

fof(f997,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n9,n8)),sum(sK2_skl,pred(sum(n9,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f996]) ).

fof(f998,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n9,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f133,f997]) ).

fof(f999,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n9,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f998]) ).

fof(f1000,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n5,sum(n7,pred(sum(n9,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f999]) ).

fof(f1001,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n5,sum(n7,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f132,f1000]) ).

fof(f1002,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n5,sum(n7,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f1001]) ).

fof(f1003,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n5,n0) ),
    inference(forward_demodulation,[status(thm)],[f107,f1002]) ).

fof(f1004,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f81,f1003]) ).

fof(f1005,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1004,f155]) ).

fof(f1006,plain,
    ( ~ sQ9_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f1005]) ).

fof(f1007,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,n4)))) ),
    inference(backward_demodulation,[status(thm)],[f263,f964]) ).

fof(f1017,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n9,succ(n4))),sum(sK2_skl,pred(sum(n9,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1007]) ).

fof(f1018,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n9,n5)),sum(sK2_skl,pred(sum(n9,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f1017]) ).

fof(f1019,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n9,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f130,f1018]) ).

fof(f1020,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n9,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f1019]) ).

fof(f1021,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n2,sum(n4,pred(sum(n9,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1020]) ).

fof(f1022,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n2,sum(n4,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f129,f1021]) ).

fof(f1023,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n2,sum(n4,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f1022]) ).

fof(f1024,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n2,n5) ),
    inference(forward_demodulation,[status(thm)],[f71,f1023]) ).

fof(f1025,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f53,f1024]) ).

fof(f1026,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1025,f157]) ).

fof(f1027,plain,
    ( ~ sQ9_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f1026]) ).

fof(f1048,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n0,succ(n6))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f640]) ).

fof(f1049,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n0,n7)),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f1048]) ).

fof(f1050,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f33,f1049]) ).

fof(f1051,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f1050]) ).

fof(f1052,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n6,sum(n6,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1051]) ).

fof(f1053,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n6,sum(n6,pred(sum(n0,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1052]) ).

fof(f1054,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n6,sum(n6,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f32,f1053]) ).

fof(f1055,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n6,sum(n6,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f1054]) ).

fof(f1056,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n6,n0) ),
    inference(forward_demodulation,[status(thm)],[f97,f1055]) ).

fof(f1057,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f92,f1056]) ).

fof(f1058,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1057,f156]) ).

fof(f1059,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f1058]) ).

fof(f1068,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f232,f149]) ).

fof(f1070,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f232,f1068]) ).

fof(f1080,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n5,succ(n8))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f673]) ).

fof(f1081,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n5,n9)),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f1080]) ).

fof(f1082,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f90,f1081]) ).

fof(f1083,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f1082]) ).

fof(f1084,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n2,sum(n8,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1083]) ).

fof(f1085,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n2,sum(n8,pred(sum(n5,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1084]) ).

fof(f1086,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n2,sum(n8,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f89,f1085]) ).

fof(f1087,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n2,sum(n8,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f1086]) ).

fof(f1088,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n2,n9) ),
    inference(forward_demodulation,[status(thm)],[f115,f1087]) ).

fof(f1089,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f57,f1088]) ).

fof(f1090,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1089,f150]) ).

fof(f1091,plain,
    ( ~ sQ5_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f1090]) ).

fof(f1092,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f238,f149]) ).

fof(f1102,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f1092]) ).

fof(f1112,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(pred(sum(n7,n2)),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f374]) ).

fof(f1113,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(pred(n9),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f105,f1112]) ).

fof(f1114,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(n8,sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f1113]) ).

fof(f1115,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(n8,sum(n1,pred(sum(n7,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f1114]) ).

fof(f1116,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(n8,sum(n1,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f104,f1115]) ).

fof(f1117,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(n8,sum(n1,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f1116]) ).

fof(f1118,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = sum(n8,n8) ),
    inference(forward_demodulation,[status(thm)],[f44,f1117]) ).

fof(f1119,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f122,f1118]) ).

fof(f1120,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1119,f155]) ).

fof(f1121,plain,
    ( ~ sQ12_spl
    | ~ sQ7_spl ),
    inference(contradiction_clause,[status(thm)],[f1120]) ).

fof(f1129,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f241,f149]) ).

fof(f1132,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f241,f1129]) ).

fof(f1141,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,n2)))) ),
    inference(backward_demodulation,[status(thm)],[f257,f739]) ).

fof(f1143,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n8,succ(n2))),sum(sK2_skl,pred(sum(n8,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1141]) ).

fof(f1144,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n8,n3)),sum(sK2_skl,pred(sum(n8,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f1143]) ).

fof(f1145,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n8,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f117,f1144]) ).

fof(f1146,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n8,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f1145]) ).

fof(f1147,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n10,sum(n2,pred(sum(n8,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1146]) ).

fof(f1148,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n10,sum(n2,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f116,f1147]) ).

fof(f1149,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n10,sum(n2,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f1148]) ).

fof(f1150,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n10,n0) ),
    inference(forward_demodulation,[status(thm)],[f57,f1149]) ).

fof(f1151,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f136,f1150]) ).

fof(f1152,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1151,f160]) ).

fof(f1153,plain,
    ( ~ sQ8_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f1152]) ).

fof(f1163,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f149]) ).

fof(f1164,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n1))),sum(sK2_skl,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1163]) ).

fof(f1165,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n2)),sum(sK2_skl,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f1164]) ).

fof(f1166,plain,
    ( ~ sQ12_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n2)),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1165]) ).

fof(f1176,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(pred(sum(n6,n2)),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f235,f374]) ).

fof(f1177,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(pred(n8),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f94,f1176]) ).

fof(f1178,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(n7,sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f1177]) ).

fof(f1179,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(n7,sum(n1,pred(sum(n6,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f235,f1178]) ).

fof(f1180,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(n7,sum(n1,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f93,f1179]) ).

fof(f1181,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(n7,sum(n1,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f1180]) ).

fof(f1182,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = sum(n7,n7) ),
    inference(forward_demodulation,[status(thm)],[f43,f1181]) ).

fof(f1183,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f110,f1182]) ).

fof(f1184,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1183,f153]) ).

fof(f1185,plain,
    ( ~ sQ12_spl
    | ~ sQ6_spl ),
    inference(contradiction_clause,[status(thm)],[f1184]) ).

fof(f1206,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n1,succ(n5))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f803]) ).

fof(f1207,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n1,n6)),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f1206]) ).

fof(f1208,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f43,f1207]) ).

fof(f1209,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f1208]) ).

fof(f1210,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n6,sum(n5,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1209]) ).

fof(f1211,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n6,sum(n5,pred(sum(n1,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1210]) ).

fof(f1212,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n6,sum(n5,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f42,f1211]) ).

fof(f1213,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n6,sum(n5,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f1212]) ).

fof(f1214,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n6,n10) ),
    inference(forward_demodulation,[status(thm)],[f86,f1213]) ).

fof(f1215,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f102,f1214]) ).

fof(f1216,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1215,f155]) ).

fof(f1217,plain,
    ( ~ sQ1_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f1216]) ).

fof(f1226,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f223,f149]) ).

fof(f1228,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f223,f1226]) ).

fof(f1229,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,n7)))) ),
    inference(backward_demodulation,[status(thm)],[f272,f899]) ).

fof(f1239,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n2,succ(n7))),sum(sK2_skl,pred(sum(n2,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f1229]) ).

fof(f1240,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n2,n8)),sum(sK2_skl,pred(sum(n2,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f1239]) ).

fof(f1241,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n2,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f56,f1240]) ).

fof(f1242,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n2,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f1241]) ).

fof(f1243,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n9,sum(n7,pred(sum(n2,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f1242]) ).

fof(f1244,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n9,sum(n7,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f55,f1243]) ).

fof(f1245,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n9,sum(n7,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f1244]) ).

fof(f1246,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n9,n4) ),
    inference(forward_demodulation,[status(thm)],[f111,f1245]) ).

fof(f1247,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f129,f1246]) ).

fof(f1248,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1247,f152]) ).

fof(f1249,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f1248]) ).

fof(f1250,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f226,f149]) ).

fof(f1260,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f1250]) ).

fof(f1270,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n3,succ(n2))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f835]) ).

fof(f1271,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n3,n3)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f1270]) ).

fof(f1272,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f62,f1271]) ).

fof(f1273,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f1272]) ).

fof(f1274,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n5,sum(n2,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1273]) ).

fof(f1275,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n5,sum(n2,pred(sum(n3,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1274]) ).

fof(f1276,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n5,sum(n2,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f61,f1275]) ).

fof(f1277,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n5,sum(n2,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f1276]) ).

fof(f1278,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n5,n6) ),
    inference(forward_demodulation,[status(thm)],[f52,f1277]) ).

fof(f1279,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f87,f1278]) ).

fof(f1280,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1279,f150]) ).

fof(f1281,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f1280]) ).

fof(f1289,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f229,f149]) ).

fof(f1292,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f1289]) ).

fof(f1302,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n4,succ(n3))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f867]) ).

fof(f1303,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n4,n4)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f1302]) ).

fof(f1304,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f74,f1303]) ).

fof(f1305,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f1304]) ).

fof(f1306,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n7,sum(n3,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1305]) ).

fof(f1307,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n7,sum(n3,pred(sum(n4,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1306]) ).

fof(f1308,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n7,sum(n3,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f73,f1307]) ).

fof(f1309,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n7,sum(n3,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f1308]) ).

fof(f1310,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n7,n9) ),
    inference(forward_demodulation,[status(thm)],[f65,f1309]) ).

fof(f1311,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f112,f1310]) ).

fof(f1312,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1311,f155]) ).

fof(f1313,plain,
    ( ~ sQ4_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f1312]) ).

fof(f1323,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f149]) ).

fof(f1324,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f1323]) ).

fof(f1325,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n6)))) ),
    inference(backward_demodulation,[status(thm)],[f269,f1324]) ).

fof(f1335,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n1,succ(n6))),sum(sK2_skl,pred(sum(n1,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1325]) ).

fof(f1336,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n1,n7)),sum(sK2_skl,pred(sum(n1,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f1335]) ).

fof(f1337,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n1,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f44,f1336]) ).

fof(f1338,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n1,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f1337]) ).

fof(f1339,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n7,sum(n6,pred(sum(n1,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1338]) ).

fof(f1340,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n7,sum(n6,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f43,f1339]) ).

fof(f1341,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n7,sum(n6,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f1340]) ).

fof(f1342,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n7,n1) ),
    inference(forward_demodulation,[status(thm)],[f98,f1341]) ).

fof(f1343,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f104,f1342]) ).

fof(f1344,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1343,f158]) ).

fof(f1345,plain,
    ( ~ sQ1_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f1344]) ).

fof(f1366,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n3,succ(n8))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f480]) ).

fof(f1367,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n3,n9)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f1366]) ).

fof(f1368,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f68,f1367]) ).

fof(f1369,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f1368]) ).

fof(f1370,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n0,sum(n8,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1369]) ).

fof(f1371,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n0,sum(n8,pred(sum(n3,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1370]) ).

fof(f1372,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n0,sum(n8,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f67,f1371]) ).

fof(f1373,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n0,sum(n8,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f1372]) ).

fof(f1374,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n0,n7) ),
    inference(forward_demodulation,[status(thm)],[f124,f1373]) ).

fof(f1375,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f33,f1374]) ).

fof(f1376,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1375,f157]) ).

fof(f1377,plain,
    ( ~ sQ3_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f1376]) ).

fof(f1381,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f229,f149]) ).

fof(f1388,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f1381]) ).

fof(f1398,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n4,succ(n4))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f543]) ).

fof(f1399,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n4,n5)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f1398]) ).

fof(f1400,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f75,f1399]) ).

fof(f1401,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f1400]) ).

fof(f1402,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n8,sum(n4,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1401]) ).

fof(f1403,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n8,sum(n4,pred(sum(n4,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1402]) ).

fof(f1404,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n8,sum(n4,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f74,f1403]) ).

fof(f1405,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n8,sum(n4,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f1404]) ).

fof(f1406,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n8,n0) ),
    inference(forward_demodulation,[status(thm)],[f77,f1405]) ).

fof(f1407,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f114,f1406]) ).

fof(f1408,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1407,f158]) ).

fof(f1409,plain,
    ( ~ sQ4_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f1408]) ).

fof(f1421,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f606]) ).

fof(f1431,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n2,succ(n1))),sum(sK2_skl,pred(sum(n2,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1421]) ).

fof(f1432,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n2,n2)),sum(sK2_skl,pred(sum(n2,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f1431]) ).

fof(f1433,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n2,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f50,f1432]) ).

fof(f1434,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n2,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f1433]) ).

fof(f1435,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n3,sum(n1,pred(sum(n2,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1434]) ).

fof(f1436,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n3,sum(n1,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f49,f1435]) ).

fof(f1437,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n3,sum(n1,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f1436]) ).

fof(f1438,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n3,n3) ),
    inference(forward_demodulation,[status(thm)],[f39,f1437]) ).

fof(f1439,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f62,f1438]) ).

fof(f1440,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1439,f156]) ).

fof(f1441,plain,
    ( ~ sQ2_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f1440]) ).

fof(f1444,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f232,f149]) ).

fof(f1452,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f232,f1444]) ).

fof(f1463,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n5,succ(n9))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1070]) ).

fof(f1464,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n5,n10)),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f1463]) ).

fof(f1465,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f91,f1464]) ).

fof(f1466,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f1465]) ).

fof(f1467,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n3,sum(n9,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1466]) ).

fof(f1468,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n3,sum(n9,pred(sum(n5,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1467]) ).

fof(f1469,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n3,sum(n9,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f90,f1468]) ).

fof(f1470,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n3,sum(n9,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f1469]) ).

fof(f1471,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n3,n0) ),
    inference(forward_demodulation,[status(thm)],[f127,f1470]) ).

fof(f1472,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f59,f1471]) ).

fof(f1473,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1472,f153]) ).

fof(f1474,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f1473]) ).

fof(f1475,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n9))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f149]) ).

fof(f1476,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n10)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f1475]) ).

fof(f1477,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n10)),sum(n9,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1476]) ).

fof(f1478,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n10)),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1477]) ).

fof(f1479,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n7,succ(n9))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f706]) ).

fof(f1480,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n7,n10)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f1479]) ).

fof(f1481,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f113,f1480]) ).

fof(f1482,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f1481]) ).

fof(f1483,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n5,sum(n9,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1482]) ).

fof(f1484,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n5,sum(n9,pred(sum(n7,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1483]) ).

fof(f1485,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n5,sum(n9,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f112,f1484]) ).

fof(f1486,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n5,sum(n9,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f1485]) ).

fof(f1487,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n5,n2) ),
    inference(forward_demodulation,[status(thm)],[f129,f1486]) ).

fof(f1488,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f83,f1487]) ).

fof(f1489,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1488,f157]) ).

fof(f1490,plain,
    ( ~ sQ7_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f1489]) ).

fof(f1503,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n8,succ(n3))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1132]) ).

fof(f1504,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n8,n4)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f1503]) ).

fof(f1505,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f118,f1504]) ).

fof(f1506,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f1505]) ).

fof(f1507,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n0,sum(n3,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1506]) ).

fof(f1508,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n0,sum(n3,pred(sum(n8,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1507]) ).

fof(f1509,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n0,sum(n3,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f117,f1508]) ).

fof(f1510,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n0,sum(n3,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f1509]) ).

fof(f1511,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n0,n2) ),
    inference(forward_demodulation,[status(thm)],[f69,f1510]) ).

fof(f1512,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f28,f1511]) ).

fof(f1513,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1512,f152]) ).

fof(f1514,plain,
    ( ~ sQ8_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f1513]) ).

fof(f1526,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n9)))) ),
    inference(backward_demodulation,[status(thm)],[f278,f771]) ).

fof(f1536,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n6,succ(n9))),sum(sK2_skl,pred(sum(n6,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1526]) ).

fof(f1537,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n6,n10)),sum(sK2_skl,pred(sum(n6,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f1536]) ).

fof(f1538,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n6,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f102,f1537]) ).

fof(f1539,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n6,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f1538]) ).

fof(f1540,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n4,sum(n9,pred(sum(n6,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1539]) ).

fof(f1541,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n4,sum(n9,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f101,f1540]) ).

fof(f1542,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n4,sum(n9,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f1541]) ).

fof(f1543,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n4,n1) ),
    inference(forward_demodulation,[status(thm)],[f128,f1542]) ).

fof(f1544,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f71,f1543]) ).

fof(f1545,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1544,f155]) ).

fof(f1546,plain,
    ( ~ sQ6_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f1545]) ).

fof(f1557,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f244,f149]) ).

fof(f1558,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n9,succ(n2))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1557]) ).

fof(f1559,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n9,n3)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f1558]) ).

fof(f1560,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f128,f1559]) ).

fof(f1561,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f1560]) ).

fof(f1562,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,sum(n2,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1561]) ).

fof(f1563,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,sum(n2,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f244,f1562]) ).

fof(f1564,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,sum(n2,pred(sum(n9,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f1563]) ).

fof(f1565,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,sum(n2,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f127,f1564]) ).

fof(f1566,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,sum(n2,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f1565]) ).

fof(f1567,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n0,n1) ),
    inference(forward_demodulation,[status(thm)],[f58,f1566]) ).

fof(f1568,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f27,f1567]) ).

fof(f1569,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1568,f151]) ).

fof(f1570,plain,
    ( ~ sQ9_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f1569]) ).

fof(f1582,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n7)))) ),
    inference(backward_demodulation,[status(thm)],[f272,f931]) ).

fof(f1592,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n0,succ(n7))),sum(sK2_skl,pred(sum(n0,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f1582]) ).

fof(f1593,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n0,n8)),sum(sK2_skl,pred(sum(n0,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f1592]) ).

fof(f1594,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n0,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f34,f1593]) ).

fof(f1595,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n0,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f1594]) ).

fof(f1596,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n7,sum(n7,pred(sum(n0,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f1595]) ).

fof(f1597,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n7,sum(n7,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f33,f1596]) ).

fof(f1598,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n7,sum(n7,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f1597]) ).

fof(f1599,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n7,n2) ),
    inference(forward_demodulation,[status(thm)],[f109,f1598]) ).

fof(f1600,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f105,f1599]) ).

fof(f1601,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1600,f159]) ).

fof(f1602,plain,
    ( ~ sQ0_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f1601]) ).

fof(f1610,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n4)))) ),
    inference(backward_demodulation,[status(thm)],[f263,f638]) ).

fof(f1613,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n0,succ(n4))),sum(sK2_skl,pred(sum(n0,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1610]) ).

fof(f1614,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n0,n5)),sum(sK2_skl,pred(sum(n0,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f1613]) ).

fof(f1615,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n0,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f31,f1614]) ).

fof(f1616,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n0,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f1615]) ).

fof(f1617,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n4,sum(n4,pred(sum(n0,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1616]) ).

fof(f1618,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n4,sum(n4,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f30,f1617]) ).

fof(f1619,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n4,sum(n4,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f1618]) ).

fof(f1620,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n4,n7) ),
    inference(forward_demodulation,[status(thm)],[f73,f1619]) ).

fof(f1621,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f77,f1620]) ).

fof(f1622,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1621,f150]) ).

fof(f1623,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f1622]) ).

fof(f1624,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f244,f149]) ).

fof(f1634,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f244,f1624]) ).

fof(f1635,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,n8)))) ),
    inference(backward_demodulation,[status(thm)],[f275,f964]) ).

fof(f1645,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n9,succ(n8))),sum(sK2_skl,pred(sum(n9,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1635]) ).

fof(f1646,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n9,n9)),sum(sK2_skl,pred(sum(n9,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f1645]) ).

fof(f1647,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n9,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f134,f1646]) ).

fof(f1648,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n9,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f1647]) ).

fof(f1649,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n6,sum(n8,pred(sum(n9,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1648]) ).

fof(f1650,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n6,sum(n8,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f133,f1649]) ).

fof(f1651,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n6,sum(n8,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f1650]) ).

fof(f1652,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n6,n2) ),
    inference(forward_demodulation,[status(thm)],[f119,f1651]) ).

fof(f1653,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f94,f1652]) ).

fof(f1654,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1653,f158]) ).

fof(f1655,plain,
    ( ~ sQ9_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f1654]) ).

fof(f1677,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,n10)),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f1478]) ).

fof(f1678,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(pred(n0),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f47,f1677]) ).

fof(f1679,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(n10,sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f1678]) ).

fof(f1680,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(n10,sum(n9,pred(sum(n1,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f1679]) ).

fof(f1681,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(n10,sum(n9,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f46,f1680]) ).

fof(f1682,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(n10,sum(n9,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f1681]) ).

fof(f1683,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = sum(n10,n7) ),
    inference(forward_demodulation,[status(thm)],[f134,f1682]) ).

fof(f1684,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f143,f1683]) ).

fof(f1685,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1684,f156]) ).

fof(f1686,plain,
    ( ~ sQ20_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f1685]) ).

fof(f1707,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,n5)))) ),
    inference(backward_demodulation,[status(thm)],[f266,f1228]) ).

fof(f1708,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n2,succ(n5))),sum(sK2_skl,pred(sum(n2,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1707]) ).

fof(f1709,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n2,n6)),sum(sK2_skl,pred(sum(n2,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f1708]) ).

fof(f1710,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n2,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f54,f1709]) ).

fof(f1711,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n2,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f1710]) ).

fof(f1712,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n7,sum(n5,pred(sum(n2,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1711]) ).

fof(f1713,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n7,sum(n5,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f53,f1712]) ).

fof(f1714,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n7,sum(n5,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f1713]) ).

fof(f1715,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n7,n0) ),
    inference(forward_demodulation,[status(thm)],[f87,f1714]) ).

fof(f1716,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f103,f1715]) ).

fof(f1717,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1716,f157]) ).

fof(f1718,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f1717]) ).

fof(f1722,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f226,f149]) ).

fof(f1729,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f1722]) ).

fof(f1739,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f1260]) ).

fof(f1740,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n3,succ(n1))),sum(sK2_skl,pred(sum(n3,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1739]) ).

fof(f1741,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n3,n2)),sum(sK2_skl,pred(sum(n3,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f1740]) ).

fof(f1742,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n3,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f61,f1741]) ).

fof(f1743,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n3,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f1742]) ).

fof(f1744,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n4,sum(n1,pred(sum(n3,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1743]) ).

fof(f1745,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n4,sum(n1,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f60,f1744]) ).

fof(f1746,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n4,sum(n1,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f1745]) ).

fof(f1747,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n4,n4) ),
    inference(forward_demodulation,[status(thm)],[f40,f1746]) ).

fof(f1748,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f74,f1747]) ).

fof(f1749,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1748,f158]) ).

fof(f1750,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f1749]) ).

fof(f1757,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f229,f149]) ).

fof(f1761,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f1757]) ).

fof(f1771,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n4,succ(n5))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1292]) ).

fof(f1772,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n4,n6)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f1771]) ).

fof(f1773,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f76,f1772]) ).

fof(f1774,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f1773]) ).

fof(f1775,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n9,sum(n5,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1774]) ).

fof(f1776,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n9,sum(n5,pred(sum(n4,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1775]) ).

fof(f1777,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n9,sum(n5,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f75,f1776]) ).

fof(f1778,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n9,sum(n5,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f1777]) ).

fof(f1779,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n9,n2) ),
    inference(forward_demodulation,[status(thm)],[f89,f1778]) ).

fof(f1780,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f127,f1779]) ).

fof(f1781,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1780,f150]) ).

fof(f1782,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f1781]) ).

fof(f1794,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,n6)))) ),
    inference(backward_demodulation,[status(thm)],[f269,f673]) ).

fof(f1804,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n5,succ(n6))),sum(sK2_skl,pred(sum(n5,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1794]) ).

fof(f1805,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n5,n7)),sum(sK2_skl,pred(sum(n5,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f1804]) ).

fof(f1806,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n5,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f88,f1805]) ).

fof(f1807,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n5,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f1806]) ).

fof(f1808,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n0,sum(n6,pred(sum(n5,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1807]) ).

fof(f1809,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n0,sum(n6,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f87,f1808]) ).

fof(f1810,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n0,sum(n6,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f1809]) ).

fof(f1811,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n0,n5) ),
    inference(forward_demodulation,[status(thm)],[f102,f1810]) ).

fof(f1812,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f31,f1811]) ).

fof(f1813,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1812,f155]) ).

fof(f1814,plain,
    ( ~ sQ5_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f1813]) ).

fof(f1815,plain,
    ( ~ sQ17_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n6))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f149]) ).

fof(f1816,plain,
    ( ~ sQ17_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n7)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f1815]) ).

fof(f1817,plain,
    ( ~ sQ17_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n7)),sum(n6,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1816]) ).

fof(f1818,plain,
    ( ~ sQ17_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n7)),sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1817]) ).

fof(f1819,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n7,succ(n6))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f449]) ).

fof(f1820,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n7,n7)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f1819]) ).

fof(f1821,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f110,f1820]) ).

fof(f1822,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f1821]) ).

fof(f1823,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n2,sum(n6,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1822]) ).

fof(f1824,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n2,sum(n6,pred(sum(n7,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1823]) ).

fof(f1825,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n2,sum(n6,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f109,f1824]) ).

fof(f1826,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n2,sum(n6,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f1825]) ).

fof(f1827,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n2,n7) ),
    inference(forward_demodulation,[status(thm)],[f93,f1826]) ).

fof(f1828,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f55,f1827]) ).

fof(f1829,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1828,f159]) ).

fof(f1830,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f1829]) ).

fof(f1852,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n8,succ(n0))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f739]) ).

fof(f1853,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n8,n1)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f1852]) ).

fof(f1854,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f115,f1853]) ).

fof(f1855,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f1854]) ).

fof(f1856,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n8,sum(n0,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f1855]) ).

fof(f1857,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n8,sum(n0,pred(sum(n8,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f1856]) ).

fof(f1858,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n8,sum(n0,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f114,f1857]) ).

fof(f1859,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n8,sum(n0,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f1858]) ).

fof(f1860,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n8,n7) ),
    inference(forward_demodulation,[status(thm)],[f33,f1859]) ).

fof(f1861,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f121,f1860]) ).

fof(f1862,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1861,f154]) ).

fof(f1863,plain,
    ( ~ sQ8_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f1862]) ).

fof(f1873,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f238,f149]) ).

fof(f1874,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f1873]) ).

fof(f1878,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n7,succ(n4))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1102]) ).

fof(f1879,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n7,n5)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f1878]) ).

fof(f1880,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f108,f1879]) ).

fof(f1881,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f1880]) ).

fof(f1882,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n0,sum(n4,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1881]) ).

fof(f1883,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n0,sum(n4,pred(sum(n7,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1882]) ).

fof(f1884,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n0,sum(n4,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f107,f1883]) ).

fof(f1885,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n0,sum(n4,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f1884]) ).

fof(f1886,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n0,n3) ),
    inference(forward_demodulation,[status(thm)],[f80,f1885]) ).

fof(f1887,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f29,f1886]) ).

fof(f1888,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1887,f153]) ).

fof(f1889,plain,
    ( ~ sQ7_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f1888]) ).

fof(f1901,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n3)))) ),
    inference(backward_demodulation,[status(thm)],[f260,f574]) ).

fof(f1911,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n6,succ(n3))),sum(sK2_skl,pred(sum(n6,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1901]) ).

fof(f1912,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n6,n4)),sum(sK2_skl,pred(sum(n6,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f1911]) ).

fof(f1913,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n6,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f96,f1912]) ).

fof(f1914,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n6,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f1913]) ).

fof(f1915,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n9,sum(n3,pred(sum(n6,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f1914]) ).

fof(f1916,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n9,sum(n3,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f95,f1915]) ).

fof(f1917,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n9,sum(n3,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f1916]) ).

fof(f1918,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n9,n0) ),
    inference(forward_demodulation,[status(thm)],[f67,f1917]) ).

fof(f1919,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f125,f1918]) ).

fof(f1920,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1919,f159]) ).

fof(f1921,plain,
    ( ~ sQ6_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f1920]) ).

fof(f1942,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n0,succ(n8))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f640]) ).

fof(f1943,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n0,n9)),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f1942]) ).

fof(f1944,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f35,f1943]) ).

fof(f1945,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f1944]) ).

fof(f1946,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n8,sum(n8,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1945]) ).

fof(f1947,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n8,sum(n8,pred(sum(n0,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f1946]) ).

fof(f1948,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n8,sum(n8,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f34,f1947]) ).

fof(f1949,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n8,sum(n8,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f1948]) ).

fof(f1950,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n8,n4) ),
    inference(forward_demodulation,[status(thm)],[f121,f1949]) ).

fof(f1951,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f118,f1950]) ).

fof(f1952,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1951,f151]) ).

fof(f1953,plain,
    ( ~ sQ0_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f1952]) ).

fof(f1954,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f244,f1557]) ).

fof(f1959,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f244,f149]) ).

fof(f1965,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f244,f1959]) ).

fof(f1972,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,n9)))) ),
    inference(backward_demodulation,[status(thm)],[f278,f1634]) ).

fof(f1976,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n9,succ(n9))),sum(sK2_skl,pred(sum(n9,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1972]) ).

fof(f1977,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n9,n10)),sum(sK2_skl,pred(sum(n9,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f1976]) ).

fof(f1978,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n9,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f135,f1977]) ).

fof(f1979,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n9,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f1978]) ).

fof(f1980,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n7,sum(n9,pred(sum(n9,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1979]) ).

fof(f1981,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n7,sum(n9,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f134,f1980]) ).

fof(f1982,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n7,sum(n9,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f1981]) ).

fof(f1983,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n7,n4) ),
    inference(forward_demodulation,[status(thm)],[f131,f1982]) ).

fof(f1984,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f107,f1983]) ).

fof(f1985,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1984,f150]) ).

fof(f1986,plain,
    ( ~ sQ9_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f1985]) ).

fof(f1990,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f220,f149]) ).

fof(f1997,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f1990]) ).

fof(f2007,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n7)))) ),
    inference(backward_demodulation,[status(thm)],[f272,f419]) ).

fof(f2008,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n1,succ(n7))),sum(sK2_skl,pred(sum(n1,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2007]) ).

fof(f2009,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n1,n8)),sum(sK2_skl,pred(sum(n1,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f2008]) ).

fof(f2010,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n1,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f45,f2009]) ).

fof(f2011,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n1,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f2010]) ).

fof(f2012,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n8,sum(n7,pred(sum(n1,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2011]) ).

fof(f2013,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n8,sum(n7,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f44,f2012]) ).

fof(f2014,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n8,sum(n7,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f2013]) ).

fof(f2015,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n8,n3) ),
    inference(forward_demodulation,[status(thm)],[f110,f2014]) ).

fof(f2016,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f117,f2015]) ).

fof(f2017,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2016,f150]) ).

fof(f2018,plain,
    ( ~ sQ1_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2017]) ).

fof(f2040,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n3,succ(n0))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f480]) ).

fof(f2041,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n3,n1)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f2040]) ).

fof(f2042,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f60,f2041]) ).

fof(f2043,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f2042]) ).

fof(f2044,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n3,sum(n0,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2043]) ).

fof(f2045,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n3,sum(n0,pred(sum(n3,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2044]) ).

fof(f2046,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n3,sum(n0,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f59,f2045]) ).

fof(f2047,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n3,sum(n0,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f2046]) ).

fof(f2048,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n3,n2) ),
    inference(forward_demodulation,[status(thm)],[f28,f2047]) ).

fof(f2049,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f61,f2048]) ).

fof(f2050,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2049,f155]) ).

fof(f2051,plain,
    ( ~ sQ3_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f2050]) ).

fof(f2057,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f229,f149]) ).

fof(f2062,plain,
    ( ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f2057]) ).

fof(f2065,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n4,succ(n2))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f867]) ).

fof(f2066,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n4,n3)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f2065]) ).

fof(f2067,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f73,f2066]) ).

fof(f2068,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f2067]) ).

fof(f2069,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n6,sum(n2,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2068]) ).

fof(f2070,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n6,sum(n2,pred(sum(n4,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2069]) ).

fof(f2071,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n6,sum(n2,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f72,f2070]) ).

fof(f2072,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n6,sum(n2,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f2071]) ).

fof(f2073,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n6,n7) ),
    inference(forward_demodulation,[status(thm)],[f53,f2072]) ).

fof(f2074,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f99,f2073]) ).

fof(f2075,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2074,f152]) ).

fof(f2076,plain,
    ( ~ sQ4_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2075]) ).

fof(f2078,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f223,f149]) ).

fof(f2087,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f223,f2078]) ).

fof(f2098,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n2,succ(n0))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f1228]) ).

fof(f2099,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n2,n1)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f2098]) ).

fof(f2100,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f49,f2099]) ).

fof(f2101,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f2100]) ).

fof(f2102,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n2,sum(n0,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2101]) ).

fof(f2103,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n2,sum(n0,pred(sum(n2,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2102]) ).

fof(f2104,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n2,sum(n0,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f48,f2103]) ).

fof(f2105,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n2,sum(n0,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f2104]) ).

fof(f2106,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n2,n1) ),
    inference(forward_demodulation,[status(thm)],[f27,f2105]) ).

fof(f2107,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f49,f2106]) ).

fof(f2108,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2107,f153]) ).

fof(f2109,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f2108]) ).

fof(f2114,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n5,succ(n0))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f1452]) ).

fof(f2115,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n5,n1)),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f2114]) ).

fof(f2116,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f82,f2115]) ).

fof(f2117,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f2116]) ).

fof(f2118,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n5,sum(n0,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2117]) ).

fof(f2119,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n5,sum(n0,pred(sum(n5,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2118]) ).

fof(f2120,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n5,sum(n0,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f81,f2119]) ).

fof(f2121,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n5,sum(n0,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f2120]) ).

fof(f2122,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n5,n4) ),
    inference(forward_demodulation,[status(thm)],[f30,f2121]) ).

fof(f2123,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f85,f2122]) ).

fof(f2124,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2123,f159]) ).

fof(f2125,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f2124]) ).

fof(f2143,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f1132]) ).

fof(f2145,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n8,succ(n1))),sum(sK2_skl,pred(sum(n8,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f2143]) ).

fof(f2146,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n8,n2)),sum(sK2_skl,pred(sum(n8,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f2145]) ).

fof(f2147,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n8,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f116,f2146]) ).

fof(f2148,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n8,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f2147]) ).

fof(f2149,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n9,sum(n1,pred(sum(n8,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f2148]) ).

fof(f2150,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n9,sum(n1,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f115,f2149]) ).

fof(f2151,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n9,sum(n1,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f2150]) ).

fof(f2152,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n9,n9) ),
    inference(forward_demodulation,[status(thm)],[f45,f2151]) ).

fof(f2153,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f134,f2152]) ).

fof(f2154,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2153,f157]) ).

fof(f2155,plain,
    ( ~ sQ8_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f2154]) ).

fof(f2165,plain,
    ( ~ sQ6_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f235,f149]) ).

fof(f2166,plain,
    ( ~ sQ6_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f235,f2165]) ).

fof(f2176,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n6,succ(n8))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f771]) ).

fof(f2177,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n6,n9)),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f2176]) ).

fof(f2178,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f101,f2177]) ).

fof(f2179,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f2178]) ).

fof(f2180,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n3,sum(n8,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2179]) ).

fof(f2181,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n3,sum(n8,pred(sum(n6,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2180]) ).

fof(f2182,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n3,sum(n8,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f100,f2181]) ).

fof(f2183,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n3,sum(n8,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f2182]) ).

fof(f2184,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n3,n10) ),
    inference(forward_demodulation,[status(thm)],[f116,f2183]) ).

fof(f2185,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f69,f2184]) ).

fof(f2186,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2185,f152]) ).

fof(f2187,plain,
    ( ~ sQ6_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f2186]) ).

fof(f2206,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(pred(sum(n8,n7)),sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f241,f1818]) ).

fof(f2207,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(pred(n4),sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f121,f2206]) ).

fof(f2208,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(n3,sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f2207]) ).

fof(f2209,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(n3,sum(n6,pred(sum(n8,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f241,f2208]) ).

fof(f2210,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(n3,sum(n6,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f120,f2209]) ).

fof(f2211,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(n3,sum(n6,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f2210]) ).

fof(f2212,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = sum(n3,n8) ),
    inference(forward_demodulation,[status(thm)],[f94,f2211]) ).

fof(f2213,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f67,f2212]) ).

fof(f2214,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2213,f150]) ).

fof(f2215,plain,
    ( ~ sQ17_spl
    | ~ sQ8_spl ),
    inference(contradiction_clause,[status(thm)],[f2214]) ).

fof(f2236,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n3)))) ),
    inference(backward_demodulation,[status(thm)],[f260,f931]) ).

fof(f2237,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n0,succ(n3))),sum(sK2_skl,pred(sum(n0,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f2236]) ).

fof(f2238,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n0,n4)),sum(sK2_skl,pred(sum(n0,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f2237]) ).

fof(f2239,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n0,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f30,f2238]) ).

fof(f2240,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n0,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f2239]) ).

fof(f2241,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n3,sum(n3,pred(sum(n0,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f2240]) ).

fof(f2242,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n3,sum(n3,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f29,f2241]) ).

fof(f2243,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n3,sum(n3,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f2242]) ).

fof(f2244,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n3,n5) ),
    inference(forward_demodulation,[status(thm)],[f61,f2243]) ).

fof(f2245,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f64,f2244]) ).

fof(f2246,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2245,f158]) ).

fof(f2247,plain,
    ( ~ sQ0_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f2246]) ).

fof(f2268,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n9,succ(n5))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f1954]) ).

fof(f2269,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n9,n6)),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f2268]) ).

fof(f2270,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f131,f2269]) ).

fof(f2271,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f2270]) ).

fof(f2272,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n3,sum(n5,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f2271]) ).

fof(f2273,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n3,sum(n5,pred(sum(n9,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f2272]) ).

fof(f2274,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n3,sum(n5,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f130,f2273]) ).

fof(f2275,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n3,sum(n5,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f2274]) ).

fof(f2276,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n3,n7) ),
    inference(forward_demodulation,[status(thm)],[f83,f2275]) ).

fof(f2277,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f66,f2276]) ).

fof(f2278,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2277,f160]) ).

fof(f2279,plain,
    ( ~ sQ9_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f2278]) ).

fof(f2299,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n0)))) ),
    inference(backward_demodulation,[status(thm)],[f251,f1324]) ).

fof(f2302,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n1,succ(n0))),sum(sK2_skl,pred(sum(n1,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2299]) ).

fof(f2303,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n1,n1)),sum(sK2_skl,pred(sum(n1,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f2302]) ).

fof(f2304,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n1,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f38,f2303]) ).

fof(f2305,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n1,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f2304]) ).

fof(f2306,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n1,sum(n0,pred(sum(n1,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f2305]) ).

fof(f2307,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n1,sum(n0,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f37,f2306]) ).

fof(f2308,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n1,sum(n0,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f2307]) ).

fof(f2309,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n1,n0) ),
    inference(forward_demodulation,[status(thm)],[f26,f2308]) ).

fof(f2310,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f37,f2309]) ).

fof(f2311,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2310,f151]) ).

fof(f2312,plain,
    ( ~ sQ1_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f2311]) ).

fof(f2333,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,n7)))) ),
    inference(backward_demodulation,[status(thm)],[f272,f1729]) ).

fof(f2334,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n3,succ(n7))),sum(sK2_skl,pred(sum(n3,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2333]) ).

fof(f2335,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n3,n8)),sum(sK2_skl,pred(sum(n3,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f2334]) ).

fof(f2336,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n3,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f67,f2335]) ).

fof(f2337,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n3,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f2336]) ).

fof(f2338,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n10,sum(n7,pred(sum(n3,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2337]) ).

fof(f2339,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n10,sum(n7,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f66,f2338]) ).

fof(f2340,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n10,sum(n7,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f2339]) ).

fof(f2341,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n10,n5) ),
    inference(forward_demodulation,[status(thm)],[f112,f2340]) ).

fof(f2342,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f141,f2341]) ).

fof(f2343,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2342,f154]) ).

fof(f2344,plain,
    ( ~ sQ3_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2343]) ).

fof(f2345,plain,
    ( ~ sQ18_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n7))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f149]) ).

fof(f2346,plain,
    ( ~ sQ18_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n8)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f2345]) ).

fof(f2347,plain,
    ( ~ sQ18_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n8)),sum(n7,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2346]) ).

fof(f2348,plain,
    ( ~ sQ18_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n8)),sum(n7,pred(sum(sK1_skl,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2347]) ).

fof(f2349,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n4,succ(n7))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f1388]) ).

fof(f2350,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n4,n8)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f2349]) ).

fof(f2351,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f78,f2350]) ).

fof(f2352,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f2351]) ).

fof(f2353,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n0,sum(n7,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2352]) ).

fof(f2354,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n0,sum(n7,pred(sum(n4,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2353]) ).

fof(f2355,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n0,sum(n7,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f77,f2354]) ).

fof(f2356,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n0,sum(n7,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f2355]) ).

fof(f2357,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n0,n6) ),
    inference(forward_demodulation,[status(thm)],[f113,f2356]) ).

fof(f2358,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f32,f2357]) ).

fof(f2359,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2358,f156]) ).

fof(f2360,plain,
    ( ~ sQ4_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2359]) ).

fof(f2381,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n2,succ(n2))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2087]) ).

fof(f2382,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n2,n3)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f2381]) ).

fof(f2383,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f51,f2382]) ).

fof(f2384,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f2383]) ).

fof(f2385,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n4,sum(n2,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2384]) ).

fof(f2386,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n4,sum(n2,pred(sum(n2,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2385]) ).

fof(f2387,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n4,sum(n2,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f50,f2386]) ).

fof(f2388,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n4,sum(n2,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f2387]) ).

fof(f2389,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n4,n5) ),
    inference(forward_demodulation,[status(thm)],[f51,f2388]) ).

fof(f2390,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f75,f2389]) ).

fof(f2391,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2390,f159]) ).

fof(f2392,plain,
    ( ~ sQ2_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2391]) ).

fof(f2404,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n4)))) ),
    inference(backward_demodulation,[status(thm)],[f263,f574]) ).

fof(f2414,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n6,succ(n4))),sum(sK2_skl,pred(sum(n6,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f2404]) ).

fof(f2415,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n6,n5)),sum(sK2_skl,pred(sum(n6,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f2414]) ).

fof(f2416,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n6,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f97,f2415]) ).

fof(f2417,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n6,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f2416]) ).

fof(f2418,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n10,sum(n4,pred(sum(n6,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f2417]) ).

fof(f2419,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n10,sum(n4,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f96,f2418]) ).

fof(f2420,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n10,sum(n4,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f2419]) ).

fof(f2421,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n10,n2) ),
    inference(forward_demodulation,[status(thm)],[f79,f2420]) ).

fof(f2422,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f138,f2421]) ).

fof(f2423,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2422,f151]) ).

fof(f2424,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f2423]) ).

fof(f2427,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f232,f149]) ).

fof(f2435,plain,
    ( ~ sQ5_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f232,f2427]) ).

fof(f2444,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,n5)))) ),
    inference(backward_demodulation,[status(thm)],[f266,f1070]) ).

fof(f2446,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n5,succ(n5))),sum(sK2_skl,pred(sum(n5,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f2444]) ).

fof(f2447,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n5,n6)),sum(sK2_skl,pred(sum(n5,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f2446]) ).

fof(f2448,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n5,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f87,f2447]) ).

fof(f2449,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n5,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f2448]) ).

fof(f2450,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n10,sum(n5,pred(sum(n5,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f2449]) ).

fof(f2451,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n10,sum(n5,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f86,f2450]) ).

fof(f2452,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n10,sum(n5,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f2451]) ).

fof(f2453,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n10,n3) ),
    inference(forward_demodulation,[status(thm)],[f90,f2452]) ).

fof(f2454,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f139,f2453]) ).

fof(f2455,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2454,f152]) ).

fof(f2456,plain,
    ( ~ sQ5_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f2455]) ).

fof(f2462,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f238,f149]) ).

fof(f2467,plain,
    ( ~ sQ7_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f238,f2462]) ).

fof(f2477,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n7,succ(n2))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f706]) ).

fof(f2478,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n7,n3)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f2477]) ).

fof(f2479,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f106,f2478]) ).

fof(f2480,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f2479]) ).

fof(f2481,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n9,sum(n2,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2480]) ).

fof(f2482,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n9,sum(n2,pred(sum(n7,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2481]) ).

fof(f2483,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n9,sum(n2,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f105,f2482]) ).

fof(f2484,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n9,sum(n2,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f2483]) ).

fof(f2485,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n9,n10) ),
    inference(forward_demodulation,[status(thm)],[f56,f2484]) ).

fof(f2486,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f135,f2485]) ).

fof(f2487,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2486,f158]) ).

fof(f2488,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2487]) ).

fof(f2509,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n5,succ(n4))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f1452]) ).

fof(f2510,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n5,n5)),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f2509]) ).

fof(f2511,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f86,f2510]) ).

fof(f2512,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f2511]) ).

fof(f2513,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n9,sum(n4,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f2512]) ).

fof(f2514,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n9,sum(n4,pred(sum(n5,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f2513]) ).

fof(f2515,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n9,sum(n4,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f85,f2514]) ).

fof(f2516,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n9,sum(n4,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f2515]) ).

fof(f2517,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n9,n1) ),
    inference(forward_demodulation,[status(thm)],[f78,f2516]) ).

fof(f2518,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f126,f2517]) ).

fof(f2519,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2518,f160]) ).

fof(f2520,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f2519]) ).

fof(f2532,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n7,succ(sK2_skl))),sum(sK2_skl,pred(sum(n7,n8)))) ),
    inference(backward_demodulation,[status(thm)],[f275,f449]) ).

fof(f2542,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n7,succ(n8))),sum(sK2_skl,pred(sum(n7,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2532]) ).

fof(f2543,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n7,n9)),sum(sK2_skl,pred(sum(n7,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f2542]) ).

fof(f2544,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n7,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f112,f2543]) ).

fof(f2545,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n7,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f2544]) ).

fof(f2546,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n4,sum(n8,pred(sum(n7,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2545]) ).

fof(f2547,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n4,sum(n8,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f111,f2546]) ).

fof(f2548,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n4,sum(n8,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f2547]) ).

fof(f2549,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n4,n0) ),
    inference(forward_demodulation,[status(thm)],[f117,f2548]) ).

fof(f2550,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f70,f2549]) ).

fof(f2551,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2550,f154]) ).

fof(f2552,plain,
    ( ~ sQ7_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f2551]) ).

fof(f2555,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f241,f149]) ).

fof(f2563,plain,
    ( ~ sQ8_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f241,f2555]) ).

fof(f2574,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n8,succ(n9))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1132]) ).

fof(f2575,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n8,n10)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f2574]) ).

fof(f2576,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f124,f2575]) ).

fof(f2577,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f2576]) ).

fof(f2578,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n6,sum(n9,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2577]) ).

fof(f2579,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n6,sum(n9,pred(sum(n8,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2578]) ).

fof(f2580,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n6,sum(n9,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f123,f2579]) ).

fof(f2581,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n6,sum(n9,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f2580]) ).

fof(f2582,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n6,n3) ),
    inference(forward_demodulation,[status(thm)],[f130,f2581]) ).

fof(f2583,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f95,f2582]) ).

fof(f2584,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2583,f159]) ).

fof(f2585,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f2584]) ).

fof(f2586,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n9))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f149]) ).

fof(f2587,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n10)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f2586]) ).

fof(f2588,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n10)),sum(n9,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2587]) ).

fof(f2589,plain,
    ( ~ sQ20_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n10)),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2588]) ).

fof(f2590,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n0,succ(n9))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f640]) ).

fof(f2591,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n0,n10)),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f2590]) ).

fof(f2592,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f36,f2591]) ).

fof(f2593,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f2592]) ).

fof(f2594,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n9,sum(n9,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2593]) ).

fof(f2595,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n9,sum(n9,pred(sum(n0,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2594]) ).

fof(f2596,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n9,sum(n9,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f35,f2595]) ).

fof(f2597,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n9,sum(n9,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f2596]) ).

fof(f2598,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n9,n6) ),
    inference(forward_demodulation,[status(thm)],[f133,f2597]) ).

fof(f2599,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f131,f2598]) ).

fof(f2600,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2599,f154]) ).

fof(f2601,plain,
    ( ~ sQ0_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f2600]) ).

fof(f2620,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,n3)))) ),
    inference(backward_demodulation,[status(thm)],[f260,f1965]) ).

fof(f2621,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n9,succ(n3))),sum(sK2_skl,pred(sum(n9,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f2620]) ).

fof(f2622,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n9,n4)),sum(sK2_skl,pred(sum(n9,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f2621]) ).

fof(f2623,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n9,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f129,f2622]) ).

fof(f2624,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n9,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f2623]) ).

fof(f2625,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n1,sum(n3,pred(sum(n9,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f2624]) ).

fof(f2626,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n1,sum(n3,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f128,f2625]) ).

fof(f2627,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n1,sum(n3,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f2626]) ).

fof(f2628,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n1,n3) ),
    inference(forward_demodulation,[status(thm)],[f59,f2627]) ).

fof(f2629,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f40,f2628]) ).

fof(f2630,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2629,f154]) ).

fof(f2631,plain,
    ( ~ sQ9_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f2630]) ).

fof(f2652,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f1997]) ).

fof(f2653,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n1,succ(n1))),sum(sK2_skl,pred(sum(n1,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f2652]) ).

fof(f2654,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n1,n2)),sum(sK2_skl,pred(sum(n1,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f2653]) ).

fof(f2655,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n1,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f39,f2654]) ).

fof(f2656,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n1,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f2655]) ).

fof(f2657,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n2,sum(n1,pred(sum(n1,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f2656]) ).

fof(f2658,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n2,sum(n1,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f38,f2657]) ).

fof(f2659,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n2,sum(n1,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f2658]) ).

fof(f2660,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n2,n2) ),
    inference(forward_demodulation,[status(thm)],[f38,f2659]) ).

fof(f2661,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f50,f2660]) ).

fof(f2662,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2661,f154]) ).

fof(f2663,plain,
    ( ~ sQ1_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f2662]) ).

fof(f2666,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f226,f149]) ).

fof(f2674,plain,
    ( ~ sQ3_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f2666]) ).

fof(f2683,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n3,succ(sK2_skl))),sum(sK2_skl,pred(sum(n3,n3)))) ),
    inference(backward_demodulation,[status(thm)],[f260,f480]) ).

fof(f2685,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n3,succ(n3))),sum(sK2_skl,pred(sum(n3,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f2683]) ).

fof(f2686,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n3,n4)),sum(sK2_skl,pred(sum(n3,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f2685]) ).

fof(f2687,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n3,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f63,f2686]) ).

fof(f2688,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n3,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f2687]) ).

fof(f2689,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n6,sum(n3,pred(sum(n3,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f2688]) ).

fof(f2690,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n6,sum(n3,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f62,f2689]) ).

fof(f2691,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n6,sum(n3,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f2690]) ).

fof(f2692,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n6,n8) ),
    inference(forward_demodulation,[status(thm)],[f64,f2691]) ).

fof(f2693,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f100,f2692]) ).

fof(f2694,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2693,f153]) ).

fof(f2695,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f2694]) ).

fof(f2707,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,n1)))) ),
    inference(backward_demodulation,[status(thm)],[f254,f543]) ).

fof(f2717,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n4,succ(n1))),sum(sK2_skl,pred(sum(n4,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f2707]) ).

fof(f2718,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n4,n2)),sum(sK2_skl,pred(sum(n4,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f2717]) ).

fof(f2719,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n4,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f72,f2718]) ).

fof(f2720,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n4,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f2719]) ).

fof(f2721,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n5,sum(n1,pred(sum(n4,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f2720]) ).

fof(f2722,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n5,sum(n1,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f71,f2721]) ).

fof(f2723,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n5,sum(n1,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f2722]) ).

fof(f2724,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n5,n5) ),
    inference(forward_demodulation,[status(thm)],[f41,f2723]) ).

fof(f2725,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f86,f2724]) ).

fof(f2726,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2725,f160]) ).

fof(f2727,plain,
    ( ~ sQ4_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f2726]) ).

fof(f2749,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n3,succ(n9))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2674]) ).

fof(f2750,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n3,n10)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f2749]) ).

fof(f2751,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f69,f2750]) ).

fof(f2752,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f2751]) ).

fof(f2753,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n1,sum(n9,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2752]) ).

fof(f2754,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n1,sum(n9,pred(sum(n3,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f2753]) ).

fof(f2755,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n1,sum(n9,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f68,f2754]) ).

fof(f2756,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n1,sum(n9,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f2755]) ).

fof(f2757,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n1,n9) ),
    inference(forward_demodulation,[status(thm)],[f125,f2756]) ).

fof(f2758,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f46,f2757]) ).

fof(f2759,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2758,f160]) ).

fof(f2760,plain,
    ( ~ sQ3_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f2759]) ).

fof(f2772,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n6)))) ),
    inference(backward_demodulation,[status(thm)],[f269,f2166]) ).

fof(f2782,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n6,succ(n6))),sum(sK2_skl,pred(sum(n6,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f2772]) ).

fof(f2783,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n6,n7)),sum(sK2_skl,pred(sum(n6,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f2782]) ).

fof(f2784,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n6,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f99,f2783]) ).

fof(f2785,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n6,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f2784]) ).

fof(f2786,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n1,sum(n6,pred(sum(n6,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f2785]) ).

fof(f2787,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n1,sum(n6,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f98,f2786]) ).

fof(f2788,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n1,sum(n6,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f2787]) ).

fof(f2789,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n1,n6) ),
    inference(forward_demodulation,[status(thm)],[f92,f2788]) ).

fof(f2790,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f43,f2789]) ).

fof(f2791,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2790,f157]) ).

fof(f2792,plain,
    ( ~ sQ6_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f2791]) ).

fof(f2800,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f223,f149]) ).

fof(f2803,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f223,f2800]) ).

fof(f2812,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,n4)))) ),
    inference(backward_demodulation,[status(thm)],[f263,f1228]) ).

fof(f2814,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n2,succ(n4))),sum(sK2_skl,pred(sum(n2,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f2812]) ).

fof(f2815,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n2,n5)),sum(sK2_skl,pred(sum(n2,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f2814]) ).

fof(f2816,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n2,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f53,f2815]) ).

fof(f2817,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n2,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f2816]) ).

fof(f2818,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n6,sum(n4,pred(sum(n2,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f2817]) ).

fof(f2819,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n6,sum(n4,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f52,f2818]) ).

fof(f2820,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n6,sum(n4,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f2819]) ).

fof(f2821,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n6,n9) ),
    inference(forward_demodulation,[status(thm)],[f75,f2820]) ).

fof(f2822,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f101,f2821]) ).

fof(f2823,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2822,f154]) ).

fof(f2824,plain,
    ( ~ sQ2_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f2823]) ).

fof(f2846,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(pred(sum(n4,n10)),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f1478]) ).

fof(f2847,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(pred(n3),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f80,f2846]) ).

fof(f2848,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(n2,sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f2847]) ).

fof(f2849,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(n2,sum(n9,pred(sum(n4,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f229,f2848]) ).

fof(f2850,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(n2,sum(n9,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f79,f2849]) ).

fof(f2851,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(n2,sum(n9,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f2850]) ).

fof(f2852,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = sum(n2,n10) ),
    inference(forward_demodulation,[status(thm)],[f126,f2851]) ).

fof(f2853,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f58,f2852]) ).

fof(f2854,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2853,f151]) ).

fof(f2855,plain,
    ( ~ sQ20_spl
    | ~ sQ4_spl ),
    inference(contradiction_clause,[status(thm)],[f2854]) ).

fof(f2876,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,n7)))) ),
    inference(backward_demodulation,[status(thm)],[f272,f2435]) ).

fof(f2877,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n5,succ(n7))),sum(sK2_skl,pred(sum(n5,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2876]) ).

fof(f2878,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n5,n8)),sum(sK2_skl,pred(sum(n5,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f2877]) ).

fof(f2879,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n5,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f89,f2878]) ).

fof(f2880,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n5,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f2879]) ).

fof(f2881,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n1,sum(n7,pred(sum(n5,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2880]) ).

fof(f2882,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n1,sum(n7,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f88,f2881]) ).

fof(f2883,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n1,sum(n7,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f2882]) ).

fof(f2884,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n1,n7) ),
    inference(forward_demodulation,[status(thm)],[f103,f2883]) ).

fof(f2885,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f44,f2884]) ).

fof(f2886,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2885,f158]) ).

fof(f2887,plain,
    ( ~ sQ5_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2886]) ).

fof(f2892,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n7,succ(n7))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f1874]) ).

fof(f2893,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(sum(n7,n8)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f11,f2892]) ).

fof(f2894,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f111,f2893]) ).

fof(f2895,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f2894]) ).

fof(f2896,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n3,sum(n7,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2895]) ).

fof(f2897,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n3,sum(n7,pred(sum(n7,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f272,f2896]) ).

fof(f2898,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n3,sum(n7,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f110,f2897]) ).

fof(f2899,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n3,sum(n7,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f2898]) ).

fof(f2900,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = sum(n3,n9) ),
    inference(forward_demodulation,[status(thm)],[f105,f2899]) ).

fof(f2901,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f68,f2900]) ).

fof(f2902,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2901,f151]) ).

fof(f2903,plain,
    ( ~ sQ7_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2902]) ).

fof(f2924,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n8,succ(n8))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2563]) ).

fof(f2925,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n8,n9)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f2924]) ).

fof(f2926,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f123,f2925]) ).

fof(f2927,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f2926]) ).

fof(f2928,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n5,sum(n8,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2927]) ).

fof(f2929,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n5,sum(n8,pred(sum(n8,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f2928]) ).

fof(f2930,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n5,sum(n8,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f122,f2929]) ).

fof(f2931,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n5,sum(n8,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f2930]) ).

fof(f2932,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n5,n1) ),
    inference(forward_demodulation,[status(thm)],[f118,f2931]) ).

fof(f2933,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f82,f2932]) ).

fof(f2934,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2933,f156]) ).

fof(f2935,plain,
    ( ~ sQ8_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f2934]) ).

fof(f2941,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f217,f149]) ).

fof(f2946,plain,
    ( ~ sQ0_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f217,f2941]) ).

fof(f2953,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n2)))) ),
    inference(backward_demodulation,[status(thm)],[f257,f931]) ).

fof(f2957,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n0,succ(n2))),sum(sK2_skl,pred(sum(n0,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2953]) ).

fof(f2958,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n0,n3)),sum(sK2_skl,pred(sum(n0,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f2957]) ).

fof(f2959,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n3),sum(sK2_skl,pred(sum(n0,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f29,f2958]) ).

fof(f2960,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n2,sum(sK2_skl,pred(sum(n0,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f2959]) ).

fof(f2961,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n2,sum(n2,pred(sum(n0,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f2960]) ).

fof(f2962,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n2,sum(n2,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f28,f2961]) ).

fof(f2963,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n2,sum(n2,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f2962]) ).

fof(f2964,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n2,n3) ),
    inference(forward_demodulation,[status(thm)],[f49,f2963]) ).

fof(f2965,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f51,f2964]) ).

fof(f2966,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2965,f155]) ).

fof(f2967,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2966]) ).

fof(f2971,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f244,f149]) ).

fof(f2978,plain,
    ( ~ sQ9_spl
    | sK0_skl = sum(pred(sum(n9,succ(sK2_skl))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f244,f2971]) ).

fof(f2988,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n9,succ(n6))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f1954]) ).

fof(f2989,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n9,n7)),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f2988]) ).

fof(f2990,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f132,f2989]) ).

fof(f2991,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f2990]) ).

fof(f2992,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n4,sum(n6,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f2991]) ).

fof(f2993,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n4,sum(n6,pred(sum(n9,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f2992]) ).

fof(f2994,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n4,sum(n6,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f131,f2993]) ).

fof(f2995,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n4,sum(n6,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f2994]) ).

fof(f2996,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n4,n9) ),
    inference(forward_demodulation,[status(thm)],[f95,f2995]) ).

fof(f2997,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f79,f2996]) ).

fof(f2998,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2997,f152]) ).

fof(f2999,plain,
    ( ~ sQ9_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f2998]) ).

fof(f3005,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f220,f149]) ).

fof(f3010,plain,
    ( ~ sQ1_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f220,f3005]) ).

fof(f3017,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n8)))) ),
    inference(backward_demodulation,[status(thm)],[f275,f1324]) ).

fof(f3021,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n1,succ(n8))),sum(sK2_skl,pred(sum(n1,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f3017]) ).

fof(f3022,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n1,n9)),sum(sK2_skl,pred(sum(n1,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f3021]) ).

fof(f3023,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n1,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f46,f3022]) ).

fof(f3024,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n1,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f3023]) ).

fof(f3025,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n9,sum(n8,pred(sum(n1,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f3024]) ).

fof(f3026,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n9,sum(n8,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f45,f3025]) ).

fof(f3027,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n9,sum(n8,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f3026]) ).

fof(f3028,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n9,n5) ),
    inference(forward_demodulation,[status(thm)],[f122,f3027]) ).

fof(f3029,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f130,f3028]) ).

fof(f3030,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3029,f153]) ).

fof(f3031,plain,
    ( ~ sQ1_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f3030]) ).

fof(f3034,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(backward_demodulation,[status(thm)],[f223,f149]) ).

fof(f3042,plain,
    ( ~ sQ2_spl
    | sK0_skl = sum(pred(sum(n2,succ(sK2_skl))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f223,f3034]) ).

fof(f3052,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n2,succ(n6))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f2803]) ).

fof(f3053,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(sum(n2,n7)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f10,f3052]) ).

fof(f3054,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f55,f3053]) ).

fof(f3055,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f3054]) ).

fof(f3056,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n8,sum(n6,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f3055]) ).

fof(f3057,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n8,sum(n6,pred(sum(n2,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f269,f3056]) ).

fof(f3058,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n8,sum(n6,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f54,f3057]) ).

fof(f3059,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n8,sum(n6,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f3058]) ).

fof(f3060,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = sum(n8,n2) ),
    inference(forward_demodulation,[status(thm)],[f99,f3059]) ).

fof(f3061,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f116,f3060]) ).

fof(f3062,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3061,f160]) ).

fof(f3063,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f3062]) ).

fof(f3075,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n3)))) ),
    inference(backward_demodulation,[status(thm)],[f260,f1997]) ).

fof(f3085,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n1,succ(n3))),sum(sK2_skl,pred(sum(n1,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f3075]) ).

fof(f3086,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(sum(n1,n4)),sum(sK2_skl,pred(sum(n1,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f3085]) ).

fof(f3087,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n1,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f41,f3086]) ).

fof(f3088,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n1,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f3087]) ).

fof(f3089,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n4,sum(n3,pred(sum(n1,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f3088]) ).

fof(f3090,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n4,sum(n3,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f40,f3089]) ).

fof(f3091,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n4,sum(n3,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f3090]) ).

fof(f3092,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = sum(n4,n6) ),
    inference(forward_demodulation,[status(thm)],[f62,f3091]) ).

fof(f3093,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f76,f3092]) ).

fof(f3094,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3093,f160]) ).

fof(f3095,plain,
    ( ~ sQ1_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f3094]) ).

fof(f3117,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n2,succ(n9))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f1228]) ).

fof(f3118,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(sum(n2,n10)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f13,f3117]) ).

fof(f3119,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f58,f3118]) ).

fof(f3120,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f3119]) ).

fof(f3121,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n0,sum(n9,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f3120]) ).

fof(f3122,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n0,sum(n9,pred(sum(n2,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f278,f3121]) ).

fof(f3123,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n0,sum(n9,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f57,f3122]) ).

fof(f3124,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n0,sum(n9,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f3123]) ).

fof(f3125,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = sum(n0,n8) ),
    inference(forward_demodulation,[status(thm)],[f135,f3124]) ).

fof(f3126,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f34,f3125]) ).

fof(f3127,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3126,f158]) ).

fof(f3128,plain,
    ( ~ sQ2_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f3127]) ).

fof(f3140,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n5)))) ),
    inference(backward_demodulation,[status(thm)],[f266,f771]) ).

fof(f3150,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n6,succ(n5))),sum(sK2_skl,pred(sum(n6,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f3140]) ).

fof(f3151,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n6,n6)),sum(sK2_skl,pred(sum(n6,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f3150]) ).

fof(f3152,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n6,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f98,f3151]) ).

fof(f3153,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n6,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f3152]) ).

fof(f3154,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n0,sum(n5,pred(sum(n6,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f3153]) ).

fof(f3155,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n0,sum(n5,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f97,f3154]) ).

fof(f3156,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n0,sum(n5,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f3155]) ).

fof(f3157,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n0,n4) ),
    inference(forward_demodulation,[status(thm)],[f91,f3156]) ).

fof(f3158,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f30,f3157]) ).

fof(f3159,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3158,f154]) ).

fof(f3160,plain,
    ( ~ sQ6_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f3159]) ).

fof(f3161,plain,
    ( ~ sQ16_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n5))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f149]) ).

fof(f3162,plain,
    ( ~ sQ16_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n6)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f3161]) ).

fof(f3163,plain,
    ( ~ sQ16_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n6)),sum(n5,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f3162]) ).

fof(f3164,plain,
    ( ~ sQ16_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n6)),sum(n5,pred(sum(sK1_skl,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f3163]) ).

fof(f3165,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n3,succ(n5))),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f480]) ).

fof(f3166,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(sum(n3,n6)),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f9,f3165]) ).

fof(f3167,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f65,f3166]) ).

fof(f3168,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f3167]) ).

fof(f3169,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n8,sum(n5,pred(sum(n3,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f3168]) ).

fof(f3170,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n8,sum(n5,pred(sum(n3,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f266,f3169]) ).

fof(f3171,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n8,sum(n5,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f64,f3170]) ).

fof(f3172,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n8,sum(n5,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f3171]) ).

fof(f3173,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = sum(n8,n1) ),
    inference(forward_demodulation,[status(thm)],[f88,f3172]) ).

fof(f3174,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f115,f3173]) ).

fof(f3175,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3174,f159]) ).

fof(f3176,plain,
    ( ~ sQ3_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f3175]) ).

fof(f3193,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n4,succ(sK2_skl))),sum(sK2_skl,pred(sum(n4,n0)))) ),
    inference(backward_demodulation,[status(thm)],[f251,f1761]) ).

fof(f3196,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n4,succ(n0))),sum(sK2_skl,pred(sum(n4,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f3193]) ).

fof(f3197,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n4,n1)),sum(sK2_skl,pred(sum(n4,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f3196]) ).

fof(f3198,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n4,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f71,f3197]) ).

fof(f3199,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n4,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f3198]) ).

fof(f3200,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n4,sum(n0,pred(sum(n4,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f3199]) ).

fof(f3201,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n4,sum(n0,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f70,f3200]) ).

fof(f3202,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n4,sum(n0,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f3201]) ).

fof(f3203,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n4,n3) ),
    inference(forward_demodulation,[status(thm)],[f29,f3202]) ).

fof(f3204,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f73,f3203]) ).

fof(f3205,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3204,f157]) ).

fof(f3206,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f3205]) ).

fof(f3218,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n5,succ(sK2_skl))),sum(sK2_skl,pred(sum(n5,n2)))) ),
    inference(backward_demodulation,[status(thm)],[f257,f1452]) ).

fof(f3219,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n5,succ(n2))),sum(sK2_skl,pred(sum(n5,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f3218]) ).

fof(f3220,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n5,n3)),sum(sK2_skl,pred(sum(n5,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f3219]) ).

fof(f3221,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n5,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f84,f3220]) ).

fof(f3222,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n5,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f3221]) ).

fof(f3223,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n7,sum(n2,pred(sum(n5,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f3222]) ).

fof(f3224,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n7,sum(n2,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f83,f3223]) ).

fof(f3225,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n7,sum(n2,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f3224]) ).

fof(f3226,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n7,n8) ),
    inference(forward_demodulation,[status(thm)],[f54,f3225]) ).

fof(f3227,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f111,f3226]) ).

fof(f3228,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3227,f154]) ).

fof(f3229,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f3228]) ).

fof(f3251,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n7,succ(n0))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f1102]) ).

fof(f3252,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n7,n1)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f3251]) ).

fof(f3253,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f104,f3252]) ).

fof(f3254,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f3253]) ).

fof(f3255,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n7,sum(n0,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f3254]) ).

fof(f3256,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n7,sum(n0,pred(sum(n7,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f3255]) ).

fof(f3257,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n7,sum(n0,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f103,f3256]) ).

fof(f3258,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n7,sum(n0,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f3257]) ).

fof(f3259,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n7,n6) ),
    inference(forward_demodulation,[status(thm)],[f32,f3258]) ).

fof(f3260,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f109,f3259]) ).

fof(f3261,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3260,f152]) ).

fof(f3262,plain,
    ( ~ sQ7_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f3261]) ).

fof(f3280,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n8,succ(sK2_skl))),sum(sK2_skl,pred(sum(n8,n4)))) ),
    inference(backward_demodulation,[status(thm)],[f263,f1132]) ).

fof(f3284,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n8,succ(n4))),sum(sK2_skl,pred(sum(n8,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f3280]) ).

fof(f3285,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n8,n5)),sum(sK2_skl,pred(sum(n8,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f3284]) ).

fof(f3286,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n8,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f119,f3285]) ).

fof(f3287,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n8,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f3286]) ).

fof(f3288,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n1,sum(n4,pred(sum(n8,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f3287]) ).

fof(f3289,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n1,sum(n4,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f118,f3288]) ).

fof(f3290,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n1,sum(n4,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f3289]) ).

fof(f3291,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n1,n4) ),
    inference(forward_demodulation,[status(thm)],[f70,f3290]) ).

fof(f3292,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f41,f3291]) ).

fof(f3293,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3292,f155]) ).

fof(f3294,plain,
    ( ~ sQ8_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f3293]) ).

fof(f3316,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n0,succ(sK2_skl))),sum(sK2_skl,pred(sum(n0,n10)))) ),
    inference(backward_demodulation,[status(thm)],[f281,f2946]) ).

fof(f3317,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n0,succ(n10))),sum(sK2_skl,pred(sum(n0,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3316]) ).

fof(f3318,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n0,n0)),sum(sK2_skl,pred(sum(n0,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3317]) ).

fof(f3319,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n0,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f26,f3318]) ).

fof(f3320,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n0,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f3319]) ).

fof(f3321,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n10,sum(n10,pred(sum(n0,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3320]) ).

fof(f3322,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n10,sum(n10,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f36,f3321]) ).

fof(f3323,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n10,sum(n10,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f3322]) ).

fof(f3324,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n10,n8) ),
    inference(forward_demodulation,[status(thm)],[f145,f3323]) ).

fof(f3325,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f144,f3324]) ).

fof(f3326,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3325,f157]) ).

fof(f3327,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3326]) ).

fof(f3339,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n9,succ(n1))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f1965]) ).

fof(f3340,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(sum(n9,n2)),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f5,f3339]) ).

fof(f3341,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(pred(n0),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f127,f3340]) ).

fof(f3342,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n10,sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f15,f3341]) ).

fof(f3343,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n10,sum(n1,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f3342]) ).

fof(f3344,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n10,sum(n1,pred(sum(n9,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f254,f3343]) ).

fof(f3345,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n10,sum(n1,pred(n10))) ),
    inference(forward_demodulation,[status(thm)],[f126,f3344]) ).

fof(f3346,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n10,sum(n1,n9)) ),
    inference(forward_demodulation,[status(thm)],[f25,f3345]) ).

fof(f3347,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = sum(n10,n10) ),
    inference(forward_demodulation,[status(thm)],[f46,f3346]) ).

fof(f3348,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f146,f3347]) ).

fof(f3349,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3348,f159]) ).

fof(f3350,plain,
    ( ~ sQ9_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f3349]) ).

fof(f3363,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n1,succ(sK2_skl))),sum(sK2_skl,pred(sum(n1,n10)))) ),
    inference(backward_demodulation,[status(thm)],[f281,f3010]) ).

fof(f3373,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n1,succ(n10))),sum(sK2_skl,pred(sum(n1,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3363]) ).

fof(f3374,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n1,n0)),sum(sK2_skl,pred(sum(n1,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3373]) ).

fof(f3375,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n1),sum(sK2_skl,pred(sum(n1,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f37,f3374]) ).

fof(f3376,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n0,sum(sK2_skl,pred(sum(n1,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f3375]) ).

fof(f3377,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n0,sum(n10,pred(sum(n1,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3376]) ).

fof(f3378,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n0,sum(n10,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f47,f3377]) ).

fof(f3379,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n0,sum(n10,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f3378]) ).

fof(f3380,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n0,n9) ),
    inference(forward_demodulation,[status(thm)],[f146,f3379]) ).

fof(f3381,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f35,f3380]) ).

fof(f3382,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3381,f159]) ).

fof(f3383,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3382]) ).

fof(f3384,plain,
    ( ~ sQ21_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n10))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f149]) ).

fof(f3385,plain,
    ( ~ sQ21_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n0)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3384]) ).

fof(f3386,plain,
    ( ~ sQ21_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n0)),sum(n10,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3385]) ).

fof(f3387,plain,
    ( ~ sQ21_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n0)),sum(n10,pred(sum(sK1_skl,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3386]) ).

fof(f3388,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n2,succ(n10))),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3042]) ).

fof(f3389,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n2,n0)),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3388]) ).

fof(f3390,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f48,f3389]) ).

fof(f3391,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f3390]) ).

fof(f3392,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n1,sum(n10,pred(sum(n2,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3391]) ).

fof(f3393,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n1,sum(n10,pred(sum(n2,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3392]) ).

fof(f3394,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n1,sum(n10,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f58,f3393]) ).

fof(f3395,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n1,sum(n10,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f3394]) ).

fof(f3396,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n1,n10) ),
    inference(forward_demodulation,[status(thm)],[f136,f3395]) ).

fof(f3397,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f47,f3396]) ).

fof(f3398,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3397,f150]) ).

fof(f3399,plain,
    ( ~ sQ2_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3398]) ).

fof(f3409,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n6,succ(n0))),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f574]) ).

fof(f3410,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(sum(n6,n1)),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f4,f3409]) ).

fof(f3411,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f93,f3410]) ).

fof(f3412,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f3411]) ).

fof(f3413,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n6,sum(n0,pred(sum(n6,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f3412]) ).

fof(f3414,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n6,sum(n0,pred(sum(n6,n0)))) ),
    inference(forward_demodulation,[status(thm)],[f251,f3413]) ).

fof(f3415,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n6,sum(n0,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f92,f3414]) ).

fof(f3416,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n6,sum(n0,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f3415]) ).

fof(f3417,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = sum(n6,n5) ),
    inference(forward_demodulation,[status(thm)],[f31,f3416]) ).

fof(f3418,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f97,f3417]) ).

fof(f3419,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3418,f150]) ).

fof(f3420,plain,
    ( ~ sQ6_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f3419]) ).

fof(f3442,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(pred(sum(n3,n0)),sum(n10,pred(sum(sK1_skl,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f3387]) ).

fof(f3443,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(pred(n3),sum(n10,pred(sum(sK1_skl,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f59,f3442]) ).

fof(f3444,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(n2,sum(n10,pred(sum(sK1_skl,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f3443]) ).

fof(f3445,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(n2,sum(n10,pred(sum(n3,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f226,f3444]) ).

fof(f3446,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(n2,sum(n10,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f69,f3445]) ).

fof(f3447,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(n2,sum(n10,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f3446]) ).

fof(f3448,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = sum(n2,n0) ),
    inference(forward_demodulation,[status(thm)],[f137,f3447]) ).

fof(f3449,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f48,f3448]) ).

fof(f3450,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3449,f152]) ).

fof(f3451,plain,
    ( ~ sQ21_spl
    | ~ sQ3_spl ),
    inference(contradiction_clause,[status(thm)],[f3450]) ).

fof(f3456,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n4,succ(n10))),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f2062]) ).

fof(f3457,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n4,n0)),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3456]) ).

fof(f3458,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f70,f3457]) ).

fof(f3459,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f3458]) ).

fof(f3460,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n3,sum(n10,pred(sum(n4,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3459]) ).

fof(f3461,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n3,sum(n10,pred(sum(n4,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3460]) ).

fof(f3462,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n3,sum(n10,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f80,f3461]) ).

fof(f3463,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n3,sum(n10,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f3462]) ).

fof(f3464,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n3,n1) ),
    inference(forward_demodulation,[status(thm)],[f138,f3463]) ).

fof(f3465,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f60,f3464]) ).

fof(f3466,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3465,f154]) ).

fof(f3467,plain,
    ( ~ sQ4_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3466]) ).

fof(f3468,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n5,succ(n10))),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f2435]) ).

fof(f3469,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n5,n0)),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3468]) ).

fof(f3470,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n5),sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f81,f3469]) ).

fof(f3471,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n4,sum(sK2_skl,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f3470]) ).

fof(f3472,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n4,sum(n10,pred(sum(n5,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3471]) ).

fof(f3473,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n4,sum(n10,pred(sum(n5,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3472]) ).

fof(f3474,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n4,sum(n10,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f91,f3473]) ).

fof(f3475,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n4,sum(n10,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f3474]) ).

fof(f3476,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n4,n2) ),
    inference(forward_demodulation,[status(thm)],[f139,f3475]) ).

fof(f3477,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f72,f3476]) ).

fof(f3478,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3477,f156]) ).

fof(f3479,plain,
    ( ~ sQ5_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3478]) ).

fof(f3480,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n7,succ(n10))),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f2467]) ).

fof(f3481,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n7,n0)),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3480]) ).

fof(f3482,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n7),sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f103,f3481]) ).

fof(f3483,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n6,sum(sK2_skl,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f3482]) ).

fof(f3484,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n6,sum(n10,pred(sum(n7,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3483]) ).

fof(f3485,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n6,sum(n10,pred(sum(n7,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3484]) ).

fof(f3486,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n6,sum(n10,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f113,f3485]) ).

fof(f3487,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n6,sum(n10,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f3486]) ).

fof(f3488,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n6,n4) ),
    inference(forward_demodulation,[status(thm)],[f141,f3487]) ).

fof(f3489,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f96,f3488]) ).

fof(f3490,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3489,f160]) ).

fof(f3491,plain,
    ( ~ sQ7_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3490]) ).

fof(f3492,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n8,succ(n10))),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f2563]) ).

fof(f3493,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n8,n0)),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3492]) ).

fof(f3494,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f114,f3493]) ).

fof(f3495,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f3494]) ).

fof(f3496,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n7,sum(n10,pred(sum(n8,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3495]) ).

fof(f3497,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n7,sum(n10,pred(sum(n8,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3496]) ).

fof(f3498,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n7,sum(n10,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f124,f3497]) ).

fof(f3499,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n7,sum(n10,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f3498]) ).

fof(f3500,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n7,n5) ),
    inference(forward_demodulation,[status(thm)],[f142,f3499]) ).

fof(f3501,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f108,f3500]) ).

fof(f3502,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3501,f151]) ).

fof(f3503,plain,
    ( ~ sQ8_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3502]) ).

fof(f3504,plain,
    ( ~ sQ14_spl
    | sK0_skl = sum(pred(sum(sK1_skl,succ(n3))),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f149]) ).

fof(f3505,plain,
    ( ~ sQ14_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n4)),sum(sK2_skl,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f7,f3504]) ).

fof(f3506,plain,
    ( ~ sQ14_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n4)),sum(n3,pred(sum(sK1_skl,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f3505]) ).

fof(f3507,plain,
    ( ~ sQ14_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n4)),sum(n3,pred(sum(sK1_skl,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f260,f3506]) ).

fof(f3517,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(sK1_skl,n4)),sum(n3,pred(sum(n10,n3)))) ),
    inference(backward_demodulation,[status(thm)],[f247,f3507]) ).

fof(f3528,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,n4)),sum(n3,pred(sum(n10,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3517]) ).

fof(f3529,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(n3),sum(n3,pred(sum(n10,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f140,f3528]) ).

fof(f3530,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n2,sum(n3,pred(sum(n10,n3)))) ),
    inference(forward_demodulation,[status(thm)],[f18,f3529]) ).

fof(f3531,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n2,sum(n3,pred(n2))) ),
    inference(forward_demodulation,[status(thm)],[f139,f3530]) ).

fof(f3532,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n2,sum(n3,n1)) ),
    inference(forward_demodulation,[status(thm)],[f17,f3531]) ).

fof(f3533,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n2,n4) ),
    inference(forward_demodulation,[status(thm)],[f60,f3532]) ).

fof(f3534,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | sK0_skl = n6 ),
    inference(forward_demodulation,[status(thm)],[f52,f3533]) ).

fof(f3535,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3534,f156]) ).

fof(f3536,plain,
    ( ~ sQ14_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f3535]) ).

fof(f3539,plain,
    ( ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,succ(sK2_skl))),sum(sK2_skl,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f304]) ).

fof(f3545,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n10,succ(sK2_skl))),sum(sK2_skl,pred(sum(n10,n4)))) ),
    inference(backward_demodulation,[status(thm)],[f263,f3539]) ).

fof(f3550,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n10,succ(n4))),sum(sK2_skl,pred(sum(n10,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f3545]) ).

fof(f3551,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(sum(n10,n5)),sum(sK2_skl,pred(sum(n10,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f8,f3550]) ).

fof(f3552,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(pred(n4),sum(sK2_skl,pred(sum(n10,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f141,f3551]) ).

fof(f3553,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n3,sum(sK2_skl,pred(sum(n10,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f19,f3552]) ).

fof(f3554,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n3,sum(n4,pred(sum(n10,n4)))) ),
    inference(forward_demodulation,[status(thm)],[f263,f3553]) ).

fof(f3555,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n3,sum(n4,pred(n3))) ),
    inference(forward_demodulation,[status(thm)],[f140,f3554]) ).

fof(f3556,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n3,sum(n4,n2)) ),
    inference(forward_demodulation,[status(thm)],[f18,f3555]) ).

fof(f3557,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = sum(n3,n6) ),
    inference(forward_demodulation,[status(thm)],[f72,f3556]) ).

fof(f3558,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | sK0_skl = n9 ),
    inference(forward_demodulation,[status(thm)],[f65,f3557]) ).

fof(f3559,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3558,f159]) ).

fof(f3560,plain,
    ( ~ sQ10_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f3559]) ).

fof(f3561,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,n8)),sum(n7,pred(sum(sK1_skl,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f2348]) ).

fof(f3562,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(n7),sum(n7,pred(sum(sK1_skl,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f144,f3561]) ).

fof(f3563,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n6,sum(n7,pred(sum(sK1_skl,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f22,f3562]) ).

fof(f3564,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n6,sum(n7,pred(sum(n10,n7)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3563]) ).

fof(f3565,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n6,sum(n7,pred(n6))) ),
    inference(forward_demodulation,[status(thm)],[f143,f3564]) ).

fof(f3566,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n6,sum(n7,n5)) ),
    inference(forward_demodulation,[status(thm)],[f21,f3565]) ).

fof(f3567,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n6,n1) ),
    inference(forward_demodulation,[status(thm)],[f108,f3566]) ).

fof(f3568,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | sK0_skl = n7 ),
    inference(forward_demodulation,[status(thm)],[f93,f3567]) ).

fof(f3569,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3568,f157]) ).

fof(f3570,plain,
    ( ~ sQ18_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f3569]) ).

fof(f3573,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n10,succ(sK2_skl))),sum(sK2_skl,pred(sum(n10,n8)))) ),
    inference(backward_demodulation,[status(thm)],[f275,f3539]) ).

fof(f3581,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n10,succ(n8))),sum(sK2_skl,pred(sum(n10,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f3573]) ).

fof(f3582,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(sum(n10,n9)),sum(sK2_skl,pred(sum(n10,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f12,f3581]) ).

fof(f3583,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(pred(n8),sum(sK2_skl,pred(sum(n10,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f145,f3582]) ).

fof(f3584,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n7,sum(sK2_skl,pred(sum(n10,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f23,f3583]) ).

fof(f3585,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n7,sum(n8,pred(sum(n10,n8)))) ),
    inference(forward_demodulation,[status(thm)],[f275,f3584]) ).

fof(f3586,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n7,sum(n8,pred(n7))) ),
    inference(forward_demodulation,[status(thm)],[f144,f3585]) ).

fof(f3587,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n7,sum(n8,n6)) ),
    inference(forward_demodulation,[status(thm)],[f22,f3586]) ).

fof(f3588,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = sum(n7,n3) ),
    inference(forward_demodulation,[status(thm)],[f120,f3587]) ).

fof(f3589,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | sK0_skl = n10 ),
    inference(forward_demodulation,[status(thm)],[f106,f3588]) ).

fof(f3590,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3589,f160]) ).

fof(f3591,plain,
    ( ~ sQ10_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f3590]) ).

fof(f3592,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,n6)),sum(n5,pred(sum(sK1_skl,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3164]) ).

fof(f3593,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(n5),sum(n5,pred(sum(sK1_skl,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f142,f3592]) ).

fof(f3594,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n4,sum(n5,pred(sum(sK1_skl,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f20,f3593]) ).

fof(f3595,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n4,sum(n5,pred(sum(n10,n5)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3594]) ).

fof(f3596,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n4,sum(n5,pred(n4))) ),
    inference(forward_demodulation,[status(thm)],[f141,f3595]) ).

fof(f3597,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n4,sum(n5,n3)) ),
    inference(forward_demodulation,[status(thm)],[f19,f3596]) ).

fof(f3598,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n4,n8) ),
    inference(forward_demodulation,[status(thm)],[f84,f3597]) ).

fof(f3599,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | sK0_skl = n1 ),
    inference(forward_demodulation,[status(thm)],[f78,f3598]) ).

fof(f3600,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3599,f151]) ).

fof(f3601,plain,
    ( ~ sQ16_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f3600]) ).

fof(f3602,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,n7)),sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f1818]) ).

fof(f3603,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(n6),sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f143,f3602]) ).

fof(f3604,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n5,sum(n6,pred(sum(sK1_skl,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f3603]) ).

fof(f3605,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n5,sum(n6,pred(sum(n10,n6)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3604]) ).

fof(f3606,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n5,sum(n6,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f142,f3605]) ).

fof(f3607,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n5,sum(n6,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f3606]) ).

fof(f3608,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n5,n10) ),
    inference(forward_demodulation,[status(thm)],[f96,f3607]) ).

fof(f3609,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | sK0_skl = n4 ),
    inference(forward_demodulation,[status(thm)],[f91,f3608]) ).

fof(f3610,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3609,f154]) ).

fof(f3611,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f3610]) ).

fof(f3612,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,n2)),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f1166]) ).

fof(f3613,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(n1),sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f138,f3612]) ).

fof(f3614,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n0,sum(n1,pred(sum(sK1_skl,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f16,f3613]) ).

fof(f3615,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n0,sum(n1,pred(sum(n10,n1)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3614]) ).

fof(f3616,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n0,sum(n1,pred(n0))) ),
    inference(forward_demodulation,[status(thm)],[f137,f3615]) ).

fof(f3617,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n0,sum(n1,n10)) ),
    inference(forward_demodulation,[status(thm)],[f15,f3616]) ).

fof(f3618,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n0,n0) ),
    inference(forward_demodulation,[status(thm)],[f47,f3617]) ).

fof(f3619,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | sK0_skl = n0 ),
    inference(forward_demodulation,[status(thm)],[f26,f3618]) ).

fof(f3620,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3619,f150]) ).

fof(f3621,plain,
    ( ~ sQ12_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f3620]) ).

fof(f3625,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n10,succ(sK2_skl))),sum(sK2_skl,pred(sum(n10,n2)))) ),
    inference(backward_demodulation,[status(thm)],[f257,f3539]) ).

fof(f3632,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n10,succ(n2))),sum(sK2_skl,pred(sum(n10,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f3625]) ).

fof(f3633,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(sum(n10,n3)),sum(sK2_skl,pred(sum(n10,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f6,f3632]) ).

fof(f3634,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(pred(n2),sum(sK2_skl,pred(sum(n10,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f139,f3633]) ).

fof(f3635,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n1,sum(sK2_skl,pred(sum(n10,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f17,f3634]) ).

fof(f3636,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n1,sum(n2,pred(sum(n10,n2)))) ),
    inference(forward_demodulation,[status(thm)],[f257,f3635]) ).

fof(f3637,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n1,sum(n2,pred(n1))) ),
    inference(forward_demodulation,[status(thm)],[f138,f3636]) ).

fof(f3638,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n1,sum(n2,n0)) ),
    inference(forward_demodulation,[status(thm)],[f16,f3637]) ).

fof(f3639,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = sum(n1,n2) ),
    inference(forward_demodulation,[status(thm)],[f48,f3638]) ).

fof(f3640,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f39,f3639]) ).

fof(f3641,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3640,f153]) ).

fof(f3642,plain,
    ( ~ sQ10_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f3641]) ).

fof(f3643,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(sum(n10,n10)),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f2589]) ).

fof(f3644,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(pred(n9),sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f146,f3643]) ).

fof(f3645,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n8,sum(n9,pred(sum(sK1_skl,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f3644]) ).

fof(f3646,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n8,sum(n9,pred(sum(n10,n9)))) ),
    inference(forward_demodulation,[status(thm)],[f247,f3645]) ).

fof(f3647,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n8,sum(n9,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f145,f3646]) ).

fof(f3648,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n8,sum(n9,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f3647]) ).

fof(f3649,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = sum(n8,n5) ),
    inference(forward_demodulation,[status(thm)],[f132,f3648]) ).

fof(f3650,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | sK0_skl = n2 ),
    inference(forward_demodulation,[status(thm)],[f119,f3649]) ).

fof(f3651,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3650,f152]) ).

fof(f3652,plain,
    ( ~ sQ20_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f3651]) ).

fof(f3662,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n6,succ(sK2_skl))),sum(sK2_skl,pred(sum(n6,n10)))) ),
    inference(backward_demodulation,[status(thm)],[f281,f2166]) ).

fof(f3673,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n6,succ(n10))),sum(sK2_skl,pred(sum(n6,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3662]) ).

fof(f3674,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n6,n0)),sum(sK2_skl,pred(sum(n6,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3673]) ).

fof(f3675,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n6),sum(sK2_skl,pred(sum(n6,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f92,f3674]) ).

fof(f3676,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n5,sum(sK2_skl,pred(sum(n6,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f21,f3675]) ).

fof(f3677,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n5,sum(n10,pred(sum(n6,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3676]) ).

fof(f3678,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n5,sum(n10,pred(n5))) ),
    inference(forward_demodulation,[status(thm)],[f102,f3677]) ).

fof(f3679,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n5,sum(n10,n4)) ),
    inference(forward_demodulation,[status(thm)],[f20,f3678]) ).

fof(f3680,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n5,n3) ),
    inference(forward_demodulation,[status(thm)],[f140,f3679]) ).

fof(f3681,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | sK0_skl = n8 ),
    inference(forward_demodulation,[status(thm)],[f84,f3680]) ).

fof(f3682,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3681,f158]) ).

fof(f3683,plain,
    ( ~ sQ6_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3682]) ).

fof(f3684,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n9,succ(n10))),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f2978]) ).

fof(f3685,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n9,n0)),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3684]) ).

fof(f3686,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n9),sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f125,f3685]) ).

fof(f3687,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n8,sum(sK2_skl,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f24,f3686]) ).

fof(f3688,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n8,sum(n10,pred(sum(n9,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3687]) ).

fof(f3689,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n8,sum(n10,pred(sum(n9,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3688]) ).

fof(f3690,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n8,sum(n10,pred(n8))) ),
    inference(forward_demodulation,[status(thm)],[f135,f3689]) ).

fof(f3691,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n8,sum(n10,n7)) ),
    inference(forward_demodulation,[status(thm)],[f23,f3690]) ).

fof(f3692,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n8,n6) ),
    inference(forward_demodulation,[status(thm)],[f143,f3691]) ).

fof(f3693,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | sK0_skl = n3 ),
    inference(forward_demodulation,[status(thm)],[f120,f3692]) ).

fof(f3694,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3693,f153]) ).

fof(f3695,plain,
    ( ~ sQ9_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3694]) ).

fof(f3696,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n10,succ(n10))),sum(sK2_skl,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3539]) ).

fof(f3697,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(sum(n10,n0)),sum(sK2_skl,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f14,f3696]) ).

fof(f3698,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(pred(n10),sum(sK2_skl,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f136,f3697]) ).

fof(f3699,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n9,sum(sK2_skl,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f25,f3698]) ).

fof(f3700,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n9,sum(n10,pred(sum(n10,sK2_skl)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3699]) ).

fof(f3701,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n9,sum(n10,pred(sum(n10,n10)))) ),
    inference(forward_demodulation,[status(thm)],[f281,f3700]) ).

fof(f3702,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n9,sum(n10,pred(n9))) ),
    inference(forward_demodulation,[status(thm)],[f146,f3701]) ).

fof(f3703,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n9,sum(n10,n8)) ),
    inference(forward_demodulation,[status(thm)],[f24,f3702]) ).

fof(f3704,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = sum(n9,n7) ),
    inference(forward_demodulation,[status(thm)],[f144,f3703]) ).

fof(f3705,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | sK0_skl = n5 ),
    inference(forward_demodulation,[status(thm)],[f132,f3704]) ).

fof(f3706,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3705,f155]) ).

fof(f3707,plain,
    ( ~ sQ10_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f3706]) ).

fof(f3708,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f249,f283,f317,f356,f407,f437,f468,f499,f531,f563,f595,f627,f661,f694,f727,f760,f792,f824,f856,f888,f920,f952,f985,f1006,f1027,f1059,f1091,f1121,f1153,f1185,f1217,f1249,f1281,f1313,f1345,f1377,f1409,f1441,f1474,f1490,f1514,f1546,f1570,f1602,f1623,f1655,f1686,f1718,f1750,f1782,f1814,f1830,f1863,f1889,f1921,f1953,f1986,f2018,f2051,f2076,f2109,f2125,f2155,f2187,f2215,f2247,f2279,f2312,f2344,f2360,f2392,f2424,f2456,f2488,f2520,f2552,f2585,f2601,f2631,f2663,f2695,f2727,f2760,f2792,f2824,f2855,f2887,f2903,f2935,f2967,f2999,f3031,f3063,f3095,f3128,f3160,f3176,f3206,f3229,f3262,f3294,f3327,f3350,f3383,f3399,f3420,f3451,f3467,f3479,f3491,f3503,f3536,f3560,f3570,f3591,f3601,f3611,f3621,f3642,f3652,f3683,f3695,f3707]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM375+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37  % Computer : n004.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Mon Sep 21 02:25:21 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.13/0.38  % Drodi V4.1.1
% 0.13/0.47  % Refutation found
% 0.13/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.49  % Elapsed time: 0.117577 seconds
% 0.17/0.49  % CPU time: 0.622311 seconds
% 0.17/0.49  % Total memory used: 24.525 MB
% 0.17/0.49  % Net memory used: 23.830 MB
%------------------------------------------------------------------------------