TSTP Solution File: NUM376+1.015 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:30:51 EDT 2024

% Result   : Unsatisfiable 2.02s 0.64s
% Output   : CNFRefutation 2.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   33
% Syntax   : Number of formulae    : 4951 ( 290 unt;   0 def)
%            Number of atoms       : 14320 (5786 equ)
%            Maximal formula atoms :  441 (   2 avg)
%            Number of connectives : 22024 (12655   ~;8107   |;1230   &)
%                                         (  32 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  414 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   34 (  32 usr;  33 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-2 aty)
%            Number of variables   :    4 (   0   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X,Y] :
      ( succ(n0) = n1
      & succ(n1) = n2
      & succ(n2) = n3
      & succ(n3) = n4
      & succ(n4) = n5
      & succ(n5) = n6
      & succ(n6) = n7
      & succ(n7) = n8
      & succ(n8) = n9
      & succ(n9) = n10
      & succ(n10) = n11
      & succ(n11) = n12
      & succ(n12) = n13
      & succ(n13) = n14
      & succ(n14) = n15
      & succ(n15) = n0
      & pred(n0) = n15
      & pred(n1) = n0
      & pred(n2) = n1
      & pred(n3) = n2
      & pred(n4) = n3
      & pred(n5) = n4
      & pred(n6) = n5
      & pred(n7) = n6
      & pred(n8) = n7
      & pred(n9) = n8
      & pred(n10) = n9
      & pred(n11) = n10
      & pred(n12) = n11
      & pred(n13) = n12
      & pred(n14) = n13
      & pred(n15) = n14
      & sum(n0,n0) = n0
      & sum(n0,n1) = n1
      & sum(n0,n2) = n2
      & sum(n0,n3) = n3
      & sum(n0,n4) = n4
      & sum(n0,n5) = n5
      & sum(n0,n6) = n6
      & sum(n0,n7) = n7
      & sum(n0,n8) = n8
      & sum(n0,n9) = n9
      & sum(n0,n10) = n10
      & sum(n0,n11) = n11
      & sum(n0,n12) = n12
      & sum(n0,n13) = n13
      & sum(n0,n14) = n14
      & sum(n0,n15) = n15
      & sum(n1,n0) = n1
      & sum(n1,n1) = n2
      & sum(n1,n2) = n3
      & sum(n1,n3) = n4
      & sum(n1,n4) = n5
      & sum(n1,n5) = n6
      & sum(n1,n6) = n7
      & sum(n1,n7) = n8
      & sum(n1,n8) = n9
      & sum(n1,n9) = n10
      & sum(n1,n10) = n11
      & sum(n1,n11) = n12
      & sum(n1,n12) = n13
      & sum(n1,n13) = n14
      & sum(n1,n14) = n15
      & sum(n1,n15) = n0
      & sum(n2,n0) = n2
      & sum(n2,n1) = n3
      & sum(n2,n2) = n4
      & sum(n2,n3) = n5
      & sum(n2,n4) = n6
      & sum(n2,n5) = n7
      & sum(n2,n6) = n8
      & sum(n2,n7) = n9
      & sum(n2,n8) = n10
      & sum(n2,n9) = n11
      & sum(n2,n10) = n12
      & sum(n2,n11) = n13
      & sum(n2,n12) = n14
      & sum(n2,n13) = n15
      & sum(n2,n14) = n0
      & sum(n2,n15) = n1
      & sum(n3,n0) = n3
      & sum(n3,n1) = n4
      & sum(n3,n2) = n5
      & sum(n3,n3) = n6
      & sum(n3,n4) = n7
      & sum(n3,n5) = n8
      & sum(n3,n6) = n9
      & sum(n3,n7) = n10
      & sum(n3,n8) = n11
      & sum(n3,n9) = n12
      & sum(n3,n10) = n13
      & sum(n3,n11) = n14
      & sum(n3,n12) = n15
      & sum(n3,n13) = n0
      & sum(n3,n14) = n1
      & sum(n3,n15) = n2
      & sum(n4,n0) = n4
      & sum(n4,n1) = n5
      & sum(n4,n2) = n6
      & sum(n4,n3) = n7
      & sum(n4,n4) = n8
      & sum(n4,n5) = n9
      & sum(n4,n6) = n10
      & sum(n4,n7) = n11
      & sum(n4,n8) = n12
      & sum(n4,n9) = n13
      & sum(n4,n10) = n14
      & sum(n4,n11) = n15
      & sum(n4,n12) = n0
      & sum(n4,n13) = n1
      & sum(n4,n14) = n2
      & sum(n4,n15) = n3
      & sum(n5,n0) = n5
      & sum(n5,n1) = n6
      & sum(n5,n2) = n7
      & sum(n5,n3) = n8
      & sum(n5,n4) = n9
      & sum(n5,n5) = n10
      & sum(n5,n6) = n11
      & sum(n5,n7) = n12
      & sum(n5,n8) = n13
      & sum(n5,n9) = n14
      & sum(n5,n10) = n15
      & sum(n5,n11) = n0
      & sum(n5,n12) = n1
      & sum(n5,n13) = n2
      & sum(n5,n14) = n3
      & sum(n5,n15) = n4
      & sum(n6,n0) = n6
      & sum(n6,n1) = n7
      & sum(n6,n2) = n8
      & sum(n6,n3) = n9
      & sum(n6,n4) = n10
      & sum(n6,n5) = n11
      & sum(n6,n6) = n12
      & sum(n6,n7) = n13
      & sum(n6,n8) = n14
      & sum(n6,n9) = n15
      & sum(n6,n10) = n0
      & sum(n6,n11) = n1
      & sum(n6,n12) = n2
      & sum(n6,n13) = n3
      & sum(n6,n14) = n4
      & sum(n6,n15) = n5
      & sum(n7,n0) = n7
      & sum(n7,n1) = n8
      & sum(n7,n2) = n9
      & sum(n7,n3) = n10
      & sum(n7,n4) = n11
      & sum(n7,n5) = n12
      & sum(n7,n6) = n13
      & sum(n7,n7) = n14
      & sum(n7,n8) = n15
      & sum(n7,n9) = n0
      & sum(n7,n10) = n1
      & sum(n7,n11) = n2
      & sum(n7,n12) = n3
      & sum(n7,n13) = n4
      & sum(n7,n14) = n5
      & sum(n7,n15) = n6
      & sum(n8,n0) = n8
      & sum(n8,n1) = n9
      & sum(n8,n2) = n10
      & sum(n8,n3) = n11
      & sum(n8,n4) = n12
      & sum(n8,n5) = n13
      & sum(n8,n6) = n14
      & sum(n8,n7) = n15
      & sum(n8,n8) = n0
      & sum(n8,n9) = n1
      & sum(n8,n10) = n2
      & sum(n8,n11) = n3
      & sum(n8,n12) = n4
      & sum(n8,n13) = n5
      & sum(n8,n14) = n6
      & sum(n8,n15) = n7
      & sum(n9,n0) = n9
      & sum(n9,n1) = n10
      & sum(n9,n2) = n11
      & sum(n9,n3) = n12
      & sum(n9,n4) = n13
      & sum(n9,n5) = n14
      & sum(n9,n6) = n15
      & sum(n9,n7) = n0
      & sum(n9,n8) = n1
      & sum(n9,n9) = n2
      & sum(n9,n10) = n3
      & sum(n9,n11) = n4
      & sum(n9,n12) = n5
      & sum(n9,n13) = n6
      & sum(n9,n14) = n7
      & sum(n9,n15) = n8
      & sum(n10,n0) = n10
      & sum(n10,n1) = n11
      & sum(n10,n2) = n12
      & sum(n10,n3) = n13
      & sum(n10,n4) = n14
      & sum(n10,n5) = n15
      & sum(n10,n6) = n0
      & sum(n10,n7) = n1
      & sum(n10,n8) = n2
      & sum(n10,n9) = n3
      & sum(n10,n10) = n4
      & sum(n10,n11) = n5
      & sum(n10,n12) = n6
      & sum(n10,n13) = n7
      & sum(n10,n14) = n8
      & sum(n10,n15) = n9
      & sum(n11,n0) = n11
      & sum(n11,n1) = n12
      & sum(n11,n2) = n13
      & sum(n11,n3) = n14
      & sum(n11,n4) = n15
      & sum(n11,n5) = n0
      & sum(n11,n6) = n1
      & sum(n11,n7) = n2
      & sum(n11,n8) = n3
      & sum(n11,n9) = n4
      & sum(n11,n10) = n5
      & sum(n11,n11) = n6
      & sum(n11,n12) = n7
      & sum(n11,n13) = n8
      & sum(n11,n14) = n9
      & sum(n11,n15) = n10
      & sum(n12,n0) = n12
      & sum(n12,n1) = n13
      & sum(n12,n2) = n14
      & sum(n12,n3) = n15
      & sum(n12,n4) = n0
      & sum(n12,n5) = n1
      & sum(n12,n6) = n2
      & sum(n12,n7) = n3
      & sum(n12,n8) = n4
      & sum(n12,n9) = n5
      & sum(n12,n10) = n6
      & sum(n12,n11) = n7
      & sum(n12,n12) = n8
      & sum(n12,n13) = n9
      & sum(n12,n14) = n10
      & sum(n12,n15) = n11
      & sum(n13,n0) = n13
      & sum(n13,n1) = n14
      & sum(n13,n2) = n15
      & sum(n13,n3) = n0
      & sum(n13,n4) = n1
      & sum(n13,n5) = n2
      & sum(n13,n6) = n3
      & sum(n13,n7) = n4
      & sum(n13,n8) = n5
      & sum(n13,n9) = n6
      & sum(n13,n10) = n7
      & sum(n13,n11) = n8
      & sum(n13,n12) = n9
      & sum(n13,n13) = n10
      & sum(n13,n14) = n11
      & sum(n13,n15) = n12
      & sum(n14,n0) = n14
      & sum(n14,n1) = n15
      & sum(n14,n2) = n0
      & sum(n14,n3) = n1
      & sum(n14,n4) = n2
      & sum(n14,n5) = n3
      & sum(n14,n6) = n4
      & sum(n14,n7) = n5
      & sum(n14,n8) = n6
      & sum(n14,n9) = n7
      & sum(n14,n10) = n8
      & sum(n14,n11) = n9
      & sum(n14,n12) = n10
      & sum(n14,n13) = n11
      & sum(n14,n14) = n12
      & sum(n14,n15) = n13
      & sum(n15,n0) = n15
      & sum(n15,n1) = n0
      & sum(n15,n2) = n1
      & sum(n15,n3) = n2
      & sum(n15,n4) = n3
      & sum(n15,n5) = n4
      & sum(n15,n6) = n5
      & sum(n15,n7) = n6
      & sum(n15,n8) = n7
      & sum(n15,n9) = n8
      & sum(n15,n10) = n9
      & sum(n15,n11) = n10
      & sum(n15,n12) = n11
      & sum(n15,n13) = n12
      & sum(n15,n14) = n13
      & sum(n15,n15) = n14
      & ( X = n0
        | X = n1
        | X = n2
        | X = n3
        | X = n4
        | X = n5
        | X = n6
        | X = n7
        | X = n8
        | X = n9
        | X = n10
        | X = n11
        | X = n12
        | X = n13
        | X = n14
        | X = n15 )
      & ( Y = n0
        | Y = n1
        | Y = n2
        | Y = n3
        | Y = n4
        | Y = n5
        | Y = n6
        | Y = n7
        | Y = n8
        | Y = n9
        | Y = n10
        | Y = n11
        | Y = n12
        | Y = n13
        | Y = n14
        | Y = n15 )
      & sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y)))
      & n0 != n1
      & n0 != n2
      & n0 != n3
      & n0 != n4
      & n0 != n5
      & n0 != n6
      & n0 != n7
      & n0 != n8
      & n0 != n9
      & n0 != n10
      & n0 != n11
      & n0 != n12
      & n0 != n13
      & n0 != n14
      & n0 != n15
      & n1 != n2
      & n1 != n3
      & n1 != n4
      & n1 != n5
      & n1 != n6
      & n1 != n7
      & n1 != n8
      & n1 != n9
      & n1 != n10
      & n1 != n11
      & n1 != n12
      & n1 != n13
      & n1 != n14
      & n1 != n15
      & n2 != n3
      & n2 != n4
      & n2 != n5
      & n2 != n6
      & n2 != n7
      & n2 != n8
      & n2 != n9
      & n2 != n10
      & n2 != n11
      & n2 != n12
      & n2 != n13
      & n2 != n14
      & n2 != n15
      & n3 != n4
      & n3 != n5
      & n3 != n6
      & n3 != n7
      & n3 != n8
      & n3 != n9
      & n3 != n10
      & n3 != n11
      & n3 != n12
      & n3 != n13
      & n3 != n14
      & n3 != n15
      & n4 != n5
      & n4 != n6
      & n4 != n7
      & n4 != n8
      & n4 != n9
      & n4 != n10
      & n4 != n11
      & n4 != n12
      & n4 != n13
      & n4 != n14
      & n4 != n15
      & n5 != n6
      & n5 != n7
      & n5 != n8
      & n5 != n9
      & n5 != n10
      & n5 != n11
      & n5 != n12
      & n5 != n13
      & n5 != n14
      & n5 != n15
      & n6 != n7
      & n6 != n8
      & n6 != n9
      & n6 != n10
      & n6 != n11
      & n6 != n12
      & n6 != n13
      & n6 != n14
      & n6 != n15
      & n7 != n8
      & n7 != n9
      & n7 != n10
      & n7 != n11
      & n7 != n12
      & n7 != n13
      & n7 != n14
      & n7 != n15
      & n8 != n9
      & n8 != n10
      & n8 != n11
      & n8 != n12
      & n8 != n13
      & n8 != n14
      & n8 != n15
      & n9 != n10
      & n9 != n11
      & n9 != n12
      & n9 != n13
      & n9 != n14
      & n9 != n15
      & n10 != n11
      & n10 != n12
      & n10 != n13
      & n10 != n14
      & n10 != n15
      & n11 != n12
      & n11 != n13
      & n11 != n14
      & n11 != n15
      & n12 != n13
      & n12 != n14
      & n12 != n15
      & n13 != n14
      & n13 != n15
      & n14 != n15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,plain,
    ( ? [X,Y] :
        ( succ(n0) = n1
        & succ(n1) = n2
        & succ(n2) = n3
        & succ(n3) = n4
        & succ(n4) = n5
        & succ(n5) = n6
        & succ(n6) = n7
        & succ(n7) = n8
        & succ(n8) = n9
        & succ(n9) = n10
        & succ(n10) = n11
        & succ(n11) = n12
        & succ(n12) = n13
        & succ(n13) = n14
        & succ(n14) = n15
        & succ(n15) = n0
        & pred(n0) = n15
        & pred(n1) = n0
        & pred(n2) = n1
        & pred(n3) = n2
        & pred(n4) = n3
        & pred(n5) = n4
        & pred(n6) = n5
        & pred(n7) = n6
        & pred(n8) = n7
        & pred(n9) = n8
        & pred(n10) = n9
        & pred(n11) = n10
        & pred(n12) = n11
        & pred(n13) = n12
        & pred(n14) = n13
        & pred(n15) = n14
        & sum(n0,n0) = n0
        & sum(n0,n1) = n1
        & sum(n0,n2) = n2
        & sum(n0,n3) = n3
        & sum(n0,n4) = n4
        & sum(n0,n5) = n5
        & sum(n0,n6) = n6
        & sum(n0,n7) = n7
        & sum(n0,n8) = n8
        & sum(n0,n9) = n9
        & sum(n0,n10) = n10
        & sum(n0,n11) = n11
        & sum(n0,n12) = n12
        & sum(n0,n13) = n13
        & sum(n0,n14) = n14
        & sum(n0,n15) = n15
        & sum(n1,n0) = n1
        & sum(n1,n1) = n2
        & sum(n1,n2) = n3
        & sum(n1,n3) = n4
        & sum(n1,n4) = n5
        & sum(n1,n5) = n6
        & sum(n1,n6) = n7
        & sum(n1,n7) = n8
        & sum(n1,n8) = n9
        & sum(n1,n9) = n10
        & sum(n1,n10) = n11
        & sum(n1,n11) = n12
        & sum(n1,n12) = n13
        & sum(n1,n13) = n14
        & sum(n1,n14) = n15
        & sum(n1,n15) = n0
        & sum(n2,n0) = n2
        & sum(n2,n1) = n3
        & sum(n2,n2) = n4
        & sum(n2,n3) = n5
        & sum(n2,n4) = n6
        & sum(n2,n5) = n7
        & sum(n2,n6) = n8
        & sum(n2,n7) = n9
        & sum(n2,n8) = n10
        & sum(n2,n9) = n11
        & sum(n2,n10) = n12
        & sum(n2,n11) = n13
        & sum(n2,n12) = n14
        & sum(n2,n13) = n15
        & sum(n2,n14) = n0
        & sum(n2,n15) = n1
        & sum(n3,n0) = n3
        & sum(n3,n1) = n4
        & sum(n3,n2) = n5
        & sum(n3,n3) = n6
        & sum(n3,n4) = n7
        & sum(n3,n5) = n8
        & sum(n3,n6) = n9
        & sum(n3,n7) = n10
        & sum(n3,n8) = n11
        & sum(n3,n9) = n12
        & sum(n3,n10) = n13
        & sum(n3,n11) = n14
        & sum(n3,n12) = n15
        & sum(n3,n13) = n0
        & sum(n3,n14) = n1
        & sum(n3,n15) = n2
        & sum(n4,n0) = n4
        & sum(n4,n1) = n5
        & sum(n4,n2) = n6
        & sum(n4,n3) = n7
        & sum(n4,n4) = n8
        & sum(n4,n5) = n9
        & sum(n4,n6) = n10
        & sum(n4,n7) = n11
        & sum(n4,n8) = n12
        & sum(n4,n9) = n13
        & sum(n4,n10) = n14
        & sum(n4,n11) = n15
        & sum(n4,n12) = n0
        & sum(n4,n13) = n1
        & sum(n4,n14) = n2
        & sum(n4,n15) = n3
        & sum(n5,n0) = n5
        & sum(n5,n1) = n6
        & sum(n5,n2) = n7
        & sum(n5,n3) = n8
        & sum(n5,n4) = n9
        & sum(n5,n5) = n10
        & sum(n5,n6) = n11
        & sum(n5,n7) = n12
        & sum(n5,n8) = n13
        & sum(n5,n9) = n14
        & sum(n5,n10) = n15
        & sum(n5,n11) = n0
        & sum(n5,n12) = n1
        & sum(n5,n13) = n2
        & sum(n5,n14) = n3
        & sum(n5,n15) = n4
        & sum(n6,n0) = n6
        & sum(n6,n1) = n7
        & sum(n6,n2) = n8
        & sum(n6,n3) = n9
        & sum(n6,n4) = n10
        & sum(n6,n5) = n11
        & sum(n6,n6) = n12
        & sum(n6,n7) = n13
        & sum(n6,n8) = n14
        & sum(n6,n9) = n15
        & sum(n6,n10) = n0
        & sum(n6,n11) = n1
        & sum(n6,n12) = n2
        & sum(n6,n13) = n3
        & sum(n6,n14) = n4
        & sum(n6,n15) = n5
        & sum(n7,n0) = n7
        & sum(n7,n1) = n8
        & sum(n7,n2) = n9
        & sum(n7,n3) = n10
        & sum(n7,n4) = n11
        & sum(n7,n5) = n12
        & sum(n7,n6) = n13
        & sum(n7,n7) = n14
        & sum(n7,n8) = n15
        & sum(n7,n9) = n0
        & sum(n7,n10) = n1
        & sum(n7,n11) = n2
        & sum(n7,n12) = n3
        & sum(n7,n13) = n4
        & sum(n7,n14) = n5
        & sum(n7,n15) = n6
        & sum(n8,n0) = n8
        & sum(n8,n1) = n9
        & sum(n8,n2) = n10
        & sum(n8,n3) = n11
        & sum(n8,n4) = n12
        & sum(n8,n5) = n13
        & sum(n8,n6) = n14
        & sum(n8,n7) = n15
        & sum(n8,n8) = n0
        & sum(n8,n9) = n1
        & sum(n8,n10) = n2
        & sum(n8,n11) = n3
        & sum(n8,n12) = n4
        & sum(n8,n13) = n5
        & sum(n8,n14) = n6
        & sum(n8,n15) = n7
        & sum(n9,n0) = n9
        & sum(n9,n1) = n10
        & sum(n9,n2) = n11
        & sum(n9,n3) = n12
        & sum(n9,n4) = n13
        & sum(n9,n5) = n14
        & sum(n9,n6) = n15
        & sum(n9,n7) = n0
        & sum(n9,n8) = n1
        & sum(n9,n9) = n2
        & sum(n9,n10) = n3
        & sum(n9,n11) = n4
        & sum(n9,n12) = n5
        & sum(n9,n13) = n6
        & sum(n9,n14) = n7
        & sum(n9,n15) = n8
        & sum(n10,n0) = n10
        & sum(n10,n1) = n11
        & sum(n10,n2) = n12
        & sum(n10,n3) = n13
        & sum(n10,n4) = n14
        & sum(n10,n5) = n15
        & sum(n10,n6) = n0
        & sum(n10,n7) = n1
        & sum(n10,n8) = n2
        & sum(n10,n9) = n3
        & sum(n10,n10) = n4
        & sum(n10,n11) = n5
        & sum(n10,n12) = n6
        & sum(n10,n13) = n7
        & sum(n10,n14) = n8
        & sum(n10,n15) = n9
        & sum(n11,n0) = n11
        & sum(n11,n1) = n12
        & sum(n11,n2) = n13
        & sum(n11,n3) = n14
        & sum(n11,n4) = n15
        & sum(n11,n5) = n0
        & sum(n11,n6) = n1
        & sum(n11,n7) = n2
        & sum(n11,n8) = n3
        & sum(n11,n9) = n4
        & sum(n11,n10) = n5
        & sum(n11,n11) = n6
        & sum(n11,n12) = n7
        & sum(n11,n13) = n8
        & sum(n11,n14) = n9
        & sum(n11,n15) = n10
        & sum(n12,n0) = n12
        & sum(n12,n1) = n13
        & sum(n12,n2) = n14
        & sum(n12,n3) = n15
        & sum(n12,n4) = n0
        & sum(n12,n5) = n1
        & sum(n12,n6) = n2
        & sum(n12,n7) = n3
        & sum(n12,n8) = n4
        & sum(n12,n9) = n5
        & sum(n12,n10) = n6
        & sum(n12,n11) = n7
        & sum(n12,n12) = n8
        & sum(n12,n13) = n9
        & sum(n12,n14) = n10
        & sum(n12,n15) = n11
        & sum(n13,n0) = n13
        & sum(n13,n1) = n14
        & sum(n13,n2) = n15
        & sum(n13,n3) = n0
        & sum(n13,n4) = n1
        & sum(n13,n5) = n2
        & sum(n13,n6) = n3
        & sum(n13,n7) = n4
        & sum(n13,n8) = n5
        & sum(n13,n9) = n6
        & sum(n13,n10) = n7
        & sum(n13,n11) = n8
        & sum(n13,n12) = n9
        & sum(n13,n13) = n10
        & sum(n13,n14) = n11
        & sum(n13,n15) = n12
        & sum(n14,n0) = n14
        & sum(n14,n1) = n15
        & sum(n14,n2) = n0
        & sum(n14,n3) = n1
        & sum(n14,n4) = n2
        & sum(n14,n5) = n3
        & sum(n14,n6) = n4
        & sum(n14,n7) = n5
        & sum(n14,n8) = n6
        & sum(n14,n9) = n7
        & sum(n14,n10) = n8
        & sum(n14,n11) = n9
        & sum(n14,n12) = n10
        & sum(n14,n13) = n11
        & sum(n14,n14) = n12
        & sum(n14,n15) = n13
        & sum(n15,n0) = n15
        & sum(n15,n1) = n0
        & sum(n15,n2) = n1
        & sum(n15,n3) = n2
        & sum(n15,n4) = n3
        & sum(n15,n5) = n4
        & sum(n15,n6) = n5
        & sum(n15,n7) = n6
        & sum(n15,n8) = n7
        & sum(n15,n9) = n8
        & sum(n15,n10) = n9
        & sum(n15,n11) = n10
        & sum(n15,n12) = n11
        & sum(n15,n13) = n12
        & sum(n15,n14) = n13
        & sum(n15,n15) = n14
        & ( X = n0
          | X = n1
          | X = n2
          | X = n3
          | X = n4
          | X = n5
          | X = n6
          | X = n7
          | X = n8
          | X = n9
          | X = n10
          | X = n11
          | X = n12
          | X = n13
          | X = n14
          | X = n15 )
        & ( Y = n0
          | Y = n1
          | Y = n2
          | Y = n3
          | Y = n4
          | Y = n5
          | Y = n6
          | Y = n7
          | Y = n8
          | Y = n9
          | Y = n10
          | Y = n11
          | Y = n12
          | Y = n13
          | Y = n14
          | Y = n15 )
        & sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y))) )
    & n0 != n1
    & n0 != n2
    & n0 != n3
    & n0 != n4
    & n0 != n5
    & n0 != n6
    & n0 != n7
    & n0 != n8
    & n0 != n9
    & n0 != n10
    & n0 != n11
    & n0 != n12
    & n0 != n13
    & n0 != n14
    & n0 != n15
    & n1 != n2
    & n1 != n3
    & n1 != n4
    & n1 != n5
    & n1 != n6
    & n1 != n7
    & n1 != n8
    & n1 != n9
    & n1 != n10
    & n1 != n11
    & n1 != n12
    & n1 != n13
    & n1 != n14
    & n1 != n15
    & n2 != n3
    & n2 != n4
    & n2 != n5
    & n2 != n6
    & n2 != n7
    & n2 != n8
    & n2 != n9
    & n2 != n10
    & n2 != n11
    & n2 != n12
    & n2 != n13
    & n2 != n14
    & n2 != n15
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n3 != n10
    & n3 != n11
    & n3 != n12
    & n3 != n13
    & n3 != n14
    & n3 != n15
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n4 != n10
    & n4 != n11
    & n4 != n12
    & n4 != n13
    & n4 != n14
    & n4 != n15
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n5 != n10
    & n5 != n11
    & n5 != n12
    & n5 != n13
    & n5 != n14
    & n5 != n15
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n6 != n10
    & n6 != n11
    & n6 != n12
    & n6 != n13
    & n6 != n14
    & n6 != n15
    & n7 != n8
    & n7 != n9
    & n7 != n10
    & n7 != n11
    & n7 != n12
    & n7 != n13
    & n7 != n14
    & n7 != n15
    & n8 != n9
    & n8 != n10
    & n8 != n11
    & n8 != n12
    & n8 != n13
    & n8 != n14
    & n8 != n15
    & n9 != n10
    & n9 != n11
    & n9 != n12
    & n9 != n13
    & n9 != n14
    & n9 != n15
    & n10 != n11
    & n10 != n12
    & n10 != n13
    & n10 != n14
    & n10 != n15
    & n11 != n12
    & n11 != n13
    & n11 != n14
    & n11 != n15
    & n12 != n13
    & n12 != n14
    & n12 != n15
    & n13 != n14
    & n13 != n15
    & n14 != n15 ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f3,plain,
    ( succ(n0) = n1
    & succ(n1) = n2
    & succ(n2) = n3
    & succ(n3) = n4
    & succ(n4) = n5
    & succ(n5) = n6
    & succ(n6) = n7
    & succ(n7) = n8
    & succ(n8) = n9
    & succ(n9) = n10
    & succ(n10) = n11
    & succ(n11) = n12
    & succ(n12) = n13
    & succ(n13) = n14
    & succ(n14) = n15
    & succ(n15) = n0
    & pred(n0) = n15
    & pred(n1) = n0
    & pred(n2) = n1
    & pred(n3) = n2
    & pred(n4) = n3
    & pred(n5) = n4
    & pred(n6) = n5
    & pred(n7) = n6
    & pred(n8) = n7
    & pred(n9) = n8
    & pred(n10) = n9
    & pred(n11) = n10
    & pred(n12) = n11
    & pred(n13) = n12
    & pred(n14) = n13
    & pred(n15) = n14
    & sum(n0,n0) = n0
    & sum(n0,n1) = n1
    & sum(n0,n2) = n2
    & sum(n0,n3) = n3
    & sum(n0,n4) = n4
    & sum(n0,n5) = n5
    & sum(n0,n6) = n6
    & sum(n0,n7) = n7
    & sum(n0,n8) = n8
    & sum(n0,n9) = n9
    & sum(n0,n10) = n10
    & sum(n0,n11) = n11
    & sum(n0,n12) = n12
    & sum(n0,n13) = n13
    & sum(n0,n14) = n14
    & sum(n0,n15) = n15
    & sum(n1,n0) = n1
    & sum(n1,n1) = n2
    & sum(n1,n2) = n3
    & sum(n1,n3) = n4
    & sum(n1,n4) = n5
    & sum(n1,n5) = n6
    & sum(n1,n6) = n7
    & sum(n1,n7) = n8
    & sum(n1,n8) = n9
    & sum(n1,n9) = n10
    & sum(n1,n10) = n11
    & sum(n1,n11) = n12
    & sum(n1,n12) = n13
    & sum(n1,n13) = n14
    & sum(n1,n14) = n15
    & sum(n1,n15) = n0
    & sum(n2,n0) = n2
    & sum(n2,n1) = n3
    & sum(n2,n2) = n4
    & sum(n2,n3) = n5
    & sum(n2,n4) = n6
    & sum(n2,n5) = n7
    & sum(n2,n6) = n8
    & sum(n2,n7) = n9
    & sum(n2,n8) = n10
    & sum(n2,n9) = n11
    & sum(n2,n10) = n12
    & sum(n2,n11) = n13
    & sum(n2,n12) = n14
    & sum(n2,n13) = n15
    & sum(n2,n14) = n0
    & sum(n2,n15) = n1
    & sum(n3,n0) = n3
    & sum(n3,n1) = n4
    & sum(n3,n2) = n5
    & sum(n3,n3) = n6
    & sum(n3,n4) = n7
    & sum(n3,n5) = n8
    & sum(n3,n6) = n9
    & sum(n3,n7) = n10
    & sum(n3,n8) = n11
    & sum(n3,n9) = n12
    & sum(n3,n10) = n13
    & sum(n3,n11) = n14
    & sum(n3,n12) = n15
    & sum(n3,n13) = n0
    & sum(n3,n14) = n1
    & sum(n3,n15) = n2
    & sum(n4,n0) = n4
    & sum(n4,n1) = n5
    & sum(n4,n2) = n6
    & sum(n4,n3) = n7
    & sum(n4,n4) = n8
    & sum(n4,n5) = n9
    & sum(n4,n6) = n10
    & sum(n4,n7) = n11
    & sum(n4,n8) = n12
    & sum(n4,n9) = n13
    & sum(n4,n10) = n14
    & sum(n4,n11) = n15
    & sum(n4,n12) = n0
    & sum(n4,n13) = n1
    & sum(n4,n14) = n2
    & sum(n4,n15) = n3
    & sum(n5,n0) = n5
    & sum(n5,n1) = n6
    & sum(n5,n2) = n7
    & sum(n5,n3) = n8
    & sum(n5,n4) = n9
    & sum(n5,n5) = n10
    & sum(n5,n6) = n11
    & sum(n5,n7) = n12
    & sum(n5,n8) = n13
    & sum(n5,n9) = n14
    & sum(n5,n10) = n15
    & sum(n5,n11) = n0
    & sum(n5,n12) = n1
    & sum(n5,n13) = n2
    & sum(n5,n14) = n3
    & sum(n5,n15) = n4
    & sum(n6,n0) = n6
    & sum(n6,n1) = n7
    & sum(n6,n2) = n8
    & sum(n6,n3) = n9
    & sum(n6,n4) = n10
    & sum(n6,n5) = n11
    & sum(n6,n6) = n12
    & sum(n6,n7) = n13
    & sum(n6,n8) = n14
    & sum(n6,n9) = n15
    & sum(n6,n10) = n0
    & sum(n6,n11) = n1
    & sum(n6,n12) = n2
    & sum(n6,n13) = n3
    & sum(n6,n14) = n4
    & sum(n6,n15) = n5
    & sum(n7,n0) = n7
    & sum(n7,n1) = n8
    & sum(n7,n2) = n9
    & sum(n7,n3) = n10
    & sum(n7,n4) = n11
    & sum(n7,n5) = n12
    & sum(n7,n6) = n13
    & sum(n7,n7) = n14
    & sum(n7,n8) = n15
    & sum(n7,n9) = n0
    & sum(n7,n10) = n1
    & sum(n7,n11) = n2
    & sum(n7,n12) = n3
    & sum(n7,n13) = n4
    & sum(n7,n14) = n5
    & sum(n7,n15) = n6
    & sum(n8,n0) = n8
    & sum(n8,n1) = n9
    & sum(n8,n2) = n10
    & sum(n8,n3) = n11
    & sum(n8,n4) = n12
    & sum(n8,n5) = n13
    & sum(n8,n6) = n14
    & sum(n8,n7) = n15
    & sum(n8,n8) = n0
    & sum(n8,n9) = n1
    & sum(n8,n10) = n2
    & sum(n8,n11) = n3
    & sum(n8,n12) = n4
    & sum(n8,n13) = n5
    & sum(n8,n14) = n6
    & sum(n8,n15) = n7
    & sum(n9,n0) = n9
    & sum(n9,n1) = n10
    & sum(n9,n2) = n11
    & sum(n9,n3) = n12
    & sum(n9,n4) = n13
    & sum(n9,n5) = n14
    & sum(n9,n6) = n15
    & sum(n9,n7) = n0
    & sum(n9,n8) = n1
    & sum(n9,n9) = n2
    & sum(n9,n10) = n3
    & sum(n9,n11) = n4
    & sum(n9,n12) = n5
    & sum(n9,n13) = n6
    & sum(n9,n14) = n7
    & sum(n9,n15) = n8
    & sum(n10,n0) = n10
    & sum(n10,n1) = n11
    & sum(n10,n2) = n12
    & sum(n10,n3) = n13
    & sum(n10,n4) = n14
    & sum(n10,n5) = n15
    & sum(n10,n6) = n0
    & sum(n10,n7) = n1
    & sum(n10,n8) = n2
    & sum(n10,n9) = n3
    & sum(n10,n10) = n4
    & sum(n10,n11) = n5
    & sum(n10,n12) = n6
    & sum(n10,n13) = n7
    & sum(n10,n14) = n8
    & sum(n10,n15) = n9
    & sum(n11,n0) = n11
    & sum(n11,n1) = n12
    & sum(n11,n2) = n13
    & sum(n11,n3) = n14
    & sum(n11,n4) = n15
    & sum(n11,n5) = n0
    & sum(n11,n6) = n1
    & sum(n11,n7) = n2
    & sum(n11,n8) = n3
    & sum(n11,n9) = n4
    & sum(n11,n10) = n5
    & sum(n11,n11) = n6
    & sum(n11,n12) = n7
    & sum(n11,n13) = n8
    & sum(n11,n14) = n9
    & sum(n11,n15) = n10
    & sum(n12,n0) = n12
    & sum(n12,n1) = n13
    & sum(n12,n2) = n14
    & sum(n12,n3) = n15
    & sum(n12,n4) = n0
    & sum(n12,n5) = n1
    & sum(n12,n6) = n2
    & sum(n12,n7) = n3
    & sum(n12,n8) = n4
    & sum(n12,n9) = n5
    & sum(n12,n10) = n6
    & sum(n12,n11) = n7
    & sum(n12,n12) = n8
    & sum(n12,n13) = n9
    & sum(n12,n14) = n10
    & sum(n12,n15) = n11
    & sum(n13,n0) = n13
    & sum(n13,n1) = n14
    & sum(n13,n2) = n15
    & sum(n13,n3) = n0
    & sum(n13,n4) = n1
    & sum(n13,n5) = n2
    & sum(n13,n6) = n3
    & sum(n13,n7) = n4
    & sum(n13,n8) = n5
    & sum(n13,n9) = n6
    & sum(n13,n10) = n7
    & sum(n13,n11) = n8
    & sum(n13,n12) = n9
    & sum(n13,n13) = n10
    & sum(n13,n14) = n11
    & sum(n13,n15) = n12
    & sum(n14,n0) = n14
    & sum(n14,n1) = n15
    & sum(n14,n2) = n0
    & sum(n14,n3) = n1
    & sum(n14,n4) = n2
    & sum(n14,n5) = n3
    & sum(n14,n6) = n4
    & sum(n14,n7) = n5
    & sum(n14,n8) = n6
    & sum(n14,n9) = n7
    & sum(n14,n10) = n8
    & sum(n14,n11) = n9
    & sum(n14,n12) = n10
    & sum(n14,n13) = n11
    & sum(n14,n14) = n12
    & sum(n14,n15) = n13
    & sum(n15,n0) = n15
    & sum(n15,n1) = n0
    & sum(n15,n2) = n1
    & sum(n15,n3) = n2
    & sum(n15,n4) = n3
    & sum(n15,n5) = n4
    & sum(n15,n6) = n5
    & sum(n15,n7) = n6
    & sum(n15,n8) = n7
    & sum(n15,n9) = n8
    & sum(n15,n10) = n9
    & sum(n15,n11) = n10
    & sum(n15,n12) = n11
    & sum(n15,n13) = n12
    & sum(n15,n14) = n13
    & sum(n15,n15) = n14
    & ( sk0_0 = n0
      | sk0_0 = n1
      | sk0_0 = n2
      | sk0_0 = n3
      | sk0_0 = n4
      | sk0_0 = n5
      | sk0_0 = n6
      | sk0_0 = n7
      | sk0_0 = n8
      | sk0_0 = n9
      | sk0_0 = n10
      | sk0_0 = n11
      | sk0_0 = n12
      | sk0_0 = n13
      | sk0_0 = n14
      | sk0_0 = n15 )
    & ( sk0_1 = n0
      | sk0_1 = n1
      | sk0_1 = n2
      | sk0_1 = n3
      | sk0_1 = n4
      | sk0_1 = n5
      | sk0_1 = n6
      | sk0_1 = n7
      | sk0_1 = n8
      | sk0_1 = n9
      | sk0_1 = n10
      | sk0_1 = n11
      | sk0_1 = n12
      | sk0_1 = n13
      | sk0_1 = n14
      | sk0_1 = n15 )
    & sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    & n0 != n1
    & n0 != n2
    & n0 != n3
    & n0 != n4
    & n0 != n5
    & n0 != n6
    & n0 != n7
    & n0 != n8
    & n0 != n9
    & n0 != n10
    & n0 != n11
    & n0 != n12
    & n0 != n13
    & n0 != n14
    & n0 != n15
    & n1 != n2
    & n1 != n3
    & n1 != n4
    & n1 != n5
    & n1 != n6
    & n1 != n7
    & n1 != n8
    & n1 != n9
    & n1 != n10
    & n1 != n11
    & n1 != n12
    & n1 != n13
    & n1 != n14
    & n1 != n15
    & n2 != n3
    & n2 != n4
    & n2 != n5
    & n2 != n6
    & n2 != n7
    & n2 != n8
    & n2 != n9
    & n2 != n10
    & n2 != n11
    & n2 != n12
    & n2 != n13
    & n2 != n14
    & n2 != n15
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n3 != n10
    & n3 != n11
    & n3 != n12
    & n3 != n13
    & n3 != n14
    & n3 != n15
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n4 != n10
    & n4 != n11
    & n4 != n12
    & n4 != n13
    & n4 != n14
    & n4 != n15
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n5 != n10
    & n5 != n11
    & n5 != n12
    & n5 != n13
    & n5 != n14
    & n5 != n15
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n6 != n10
    & n6 != n11
    & n6 != n12
    & n6 != n13
    & n6 != n14
    & n6 != n15
    & n7 != n8
    & n7 != n9
    & n7 != n10
    & n7 != n11
    & n7 != n12
    & n7 != n13
    & n7 != n14
    & n7 != n15
    & n8 != n9
    & n8 != n10
    & n8 != n11
    & n8 != n12
    & n8 != n13
    & n8 != n14
    & n8 != n15
    & n9 != n10
    & n9 != n11
    & n9 != n12
    & n9 != n13
    & n9 != n14
    & n9 != n15
    & n10 != n11
    & n10 != n12
    & n10 != n13
    & n10 != n14
    & n10 != n15
    & n11 != n12
    & n11 != n13
    & n11 != n14
    & n11 != n15
    & n12 != n13
    & n12 != n14
    & n12 != n15
    & n13 != n14
    & n13 != n15
    & n14 != n15 ),
    inference(skolemization,[status(esa)],[f2]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f18,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f19,plain,
    succ(n15) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f51,plain,
    sum(n0,n15) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

fof(f60,plain,
    sum(n1,n8) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f61,plain,
    sum(n1,n9) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f62,plain,
    sum(n1,n10) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

fof(f67,plain,
    sum(n1,n15) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

fof(f73,plain,
    sum(n2,n5) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

fof(f83,plain,
    sum(n2,n15) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f105,plain,
    sum(n4,n5) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f131,plain,
    sum(n5,n15) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f144,plain,
    sum(n6,n12) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

fof(f148,plain,
    sum(n7,n0) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f149,plain,
    sum(n7,n1) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

fof(f152,plain,
    sum(n7,n4) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f153,plain,
    sum(n7,n5) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f154,plain,
    sum(n7,n6) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f155,plain,
    sum(n7,n7) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f156,plain,
    sum(n7,n8) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

fof(f159,plain,
    sum(n7,n11) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f161,plain,
    sum(n7,n13) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f162,plain,
    sum(n7,n14) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f163,plain,
    sum(n7,n15) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

fof(f172,plain,
    sum(n8,n8) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

fof(f180,plain,
    sum(n9,n0) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f181,plain,
    sum(n9,n1) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f182,plain,
    sum(n9,n2) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f183,plain,
    sum(n9,n3) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f184,plain,
    sum(n9,n4) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f186,plain,
    sum(n9,n6) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f187,plain,
    sum(n9,n7) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f188,plain,
    sum(n9,n8) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f189,plain,
    sum(n9,n9) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f190,plain,
    sum(n9,n10) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f192,plain,
    sum(n9,n12) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f193,plain,
    sum(n9,n13) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f195,plain,
    sum(n9,n15) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

fof(f204,plain,
    sum(n10,n8) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f206,plain,
    sum(n10,n10) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

fof(f217,plain,
    sum(n11,n5) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f254,plain,
    sum(n13,n10) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

fof(f262,plain,
    sum(n14,n2) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f264,plain,
    sum(n14,n4) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f265,plain,
    sum(n14,n5) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f266,plain,
    sum(n14,n6) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f268,plain,
    sum(n14,n8) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

fof(f271,plain,
    sum(n14,n11) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f272,plain,
    sum(n14,n12) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f273,plain,
    sum(n14,n13) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f274,plain,
    sum(n14,n14) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f288,plain,
    sum(n15,n12) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

fof(f291,plain,
    sum(n15,n15) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f292,plain,
    ( sk0_0 = n0
    | sk0_0 = n1
    | sk0_0 = n2
    | sk0_0 = n3
    | sk0_0 = n4
    | sk0_0 = n5
    | sk0_0 = n6
    | sk0_0 = n7
    | sk0_0 = n8
    | sk0_0 = n9
    | sk0_0 = n10
    | sk0_0 = n11
    | sk0_0 = n12
    | sk0_0 = n13
    | sk0_0 = n14
    | sk0_0 = n15 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f293,plain,
    ( sk0_1 = n0
    | sk0_1 = n1
    | sk0_1 = n2
    | sk0_1 = n3
    | sk0_1 = n4
    | sk0_1 = n5
    | sk0_1 = n6
    | sk0_1 = n7
    | sk0_1 = n8
    | sk0_1 = n9
    | sk0_1 = n10
    | sk0_1 = n11
    | sk0_1 = n12
    | sk0_1 = n13
    | sk0_1 = n14
    | sk0_1 = n15 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f294,plain,
    sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f415,plain,
    ( spl0_0
  <=> sk0_0 = n0 ),
    introduced(split_symbol_definition) ).

fof(f416,plain,
    ( sk0_0 = n0
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f415]) ).

fof(f418,plain,
    ( spl0_1
  <=> sk0_0 = n1 ),
    introduced(split_symbol_definition) ).

fof(f419,plain,
    ( sk0_0 = n1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f418]) ).

fof(f421,plain,
    ( spl0_2
  <=> sk0_0 = n2 ),
    introduced(split_symbol_definition) ).

fof(f422,plain,
    ( sk0_0 = n2
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f421]) ).

fof(f424,plain,
    ( spl0_3
  <=> sk0_0 = n3 ),
    introduced(split_symbol_definition) ).

fof(f425,plain,
    ( sk0_0 = n3
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f424]) ).

fof(f427,plain,
    ( spl0_4
  <=> sk0_0 = n4 ),
    introduced(split_symbol_definition) ).

fof(f428,plain,
    ( sk0_0 = n4
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f427]) ).

fof(f430,plain,
    ( spl0_5
  <=> sk0_0 = n5 ),
    introduced(split_symbol_definition) ).

fof(f431,plain,
    ( sk0_0 = n5
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f430]) ).

fof(f433,plain,
    ( spl0_6
  <=> sk0_0 = n6 ),
    introduced(split_symbol_definition) ).

fof(f434,plain,
    ( sk0_0 = n6
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f433]) ).

fof(f436,plain,
    ( spl0_7
  <=> sk0_0 = n7 ),
    introduced(split_symbol_definition) ).

fof(f437,plain,
    ( sk0_0 = n7
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f436]) ).

fof(f439,plain,
    ( spl0_8
  <=> sk0_0 = n8 ),
    introduced(split_symbol_definition) ).

fof(f440,plain,
    ( sk0_0 = n8
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f439]) ).

fof(f442,plain,
    ( spl0_9
  <=> sk0_0 = n9 ),
    introduced(split_symbol_definition) ).

fof(f443,plain,
    ( sk0_0 = n9
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f442]) ).

fof(f445,plain,
    ( spl0_10
  <=> sk0_0 = n10 ),
    introduced(split_symbol_definition) ).

fof(f446,plain,
    ( sk0_0 = n10
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f445]) ).

fof(f448,plain,
    ( spl0_11
  <=> sk0_0 = n11 ),
    introduced(split_symbol_definition) ).

fof(f449,plain,
    ( sk0_0 = n11
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f448]) ).

fof(f451,plain,
    ( spl0_12
  <=> sk0_0 = n12 ),
    introduced(split_symbol_definition) ).

fof(f452,plain,
    ( sk0_0 = n12
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f451]) ).

fof(f454,plain,
    ( spl0_13
  <=> sk0_0 = n13 ),
    introduced(split_symbol_definition) ).

fof(f455,plain,
    ( sk0_0 = n13
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f454]) ).

fof(f457,plain,
    ( spl0_14
  <=> sk0_0 = n14 ),
    introduced(split_symbol_definition) ).

fof(f458,plain,
    ( sk0_0 = n14
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f457]) ).

fof(f460,plain,
    ( spl0_15
  <=> sk0_0 = n15 ),
    introduced(split_symbol_definition) ).

fof(f461,plain,
    ( sk0_0 = n15
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f460]) ).

fof(f463,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f292,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460]) ).

fof(f464,plain,
    ( spl0_16
  <=> sk0_1 = n0 ),
    introduced(split_symbol_definition) ).

fof(f465,plain,
    ( sk0_1 = n0
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f467,plain,
    ( spl0_17
  <=> sk0_1 = n1 ),
    introduced(split_symbol_definition) ).

fof(f468,plain,
    ( sk0_1 = n1
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f467]) ).

fof(f470,plain,
    ( spl0_18
  <=> sk0_1 = n2 ),
    introduced(split_symbol_definition) ).

fof(f471,plain,
    ( sk0_1 = n2
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f470]) ).

fof(f473,plain,
    ( spl0_19
  <=> sk0_1 = n3 ),
    introduced(split_symbol_definition) ).

fof(f474,plain,
    ( sk0_1 = n3
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( spl0_20
  <=> sk0_1 = n4 ),
    introduced(split_symbol_definition) ).

fof(f477,plain,
    ( sk0_1 = n4
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f476]) ).

fof(f479,plain,
    ( spl0_21
  <=> sk0_1 = n5 ),
    introduced(split_symbol_definition) ).

fof(f480,plain,
    ( sk0_1 = n5
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f479]) ).

fof(f482,plain,
    ( spl0_22
  <=> sk0_1 = n6 ),
    introduced(split_symbol_definition) ).

fof(f483,plain,
    ( sk0_1 = n6
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f482]) ).

fof(f485,plain,
    ( spl0_23
  <=> sk0_1 = n7 ),
    introduced(split_symbol_definition) ).

fof(f486,plain,
    ( sk0_1 = n7
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f488,plain,
    ( spl0_24
  <=> sk0_1 = n8 ),
    introduced(split_symbol_definition) ).

fof(f489,plain,
    ( sk0_1 = n8
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f491,plain,
    ( spl0_25
  <=> sk0_1 = n9 ),
    introduced(split_symbol_definition) ).

fof(f492,plain,
    ( sk0_1 = n9
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,plain,
    ( spl0_26
  <=> sk0_1 = n10 ),
    introduced(split_symbol_definition) ).

fof(f495,plain,
    ( sk0_1 = n10
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f494]) ).

fof(f497,plain,
    ( spl0_27
  <=> sk0_1 = n11 ),
    introduced(split_symbol_definition) ).

fof(f498,plain,
    ( sk0_1 = n11
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f497]) ).

fof(f500,plain,
    ( spl0_28
  <=> sk0_1 = n12 ),
    introduced(split_symbol_definition) ).

fof(f501,plain,
    ( sk0_1 = n12
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( spl0_29
  <=> sk0_1 = n13 ),
    introduced(split_symbol_definition) ).

fof(f504,plain,
    ( sk0_1 = n13
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f503]) ).

fof(f506,plain,
    ( spl0_30
  <=> sk0_1 = n14 ),
    introduced(split_symbol_definition) ).

fof(f507,plain,
    ( sk0_1 = n14
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f506]) ).

fof(f509,plain,
    ( spl0_31
  <=> sk0_1 = n15 ),
    introduced(split_symbol_definition) ).

fof(f510,plain,
    ( sk0_1 = n15
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f509]) ).

fof(f512,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20
    | spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25
    | spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f293,f464,f467,f470,f473,f476,f479,f482,f485,f488,f491,f494,f497,f500,f503,f506,f509]) ).

fof(f594,plain,
    ( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f294]) ).

fof(f595,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f594]) ).

fof(f596,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f595]) ).

fof(f597,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f596]) ).

fof(f598,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f597]) ).

fof(f599,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f598]) ).

fof(f600,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f599]) ).

fof(f601,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f600]) ).

fof(f602,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f106,f601]) ).

fof(f603,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f461,f602]) ).

fof(f604,plain,
    ( sum(sum(pred(n15),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f461,f603]) ).

fof(f605,plain,
    ( sum(sum(n14,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f35,f604]) ).

fof(f606,plain,
    ( sum(n4,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f266,f605]) ).

fof(f607,plain,
    ( sum(n4,sum(n4,succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f461,f606]) ).

fof(f608,plain,
    ( sum(n4,sum(n4,n0)) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f19,f607]) ).

fof(f609,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f100,f608]) ).

fof(f610,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f104,f609]) ).

fof(f611,plain,
    ( n8 != sum(sum(pred(n15),succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f461,f610]) ).

fof(f612,plain,
    ( n8 != sum(sum(n14,succ(n15)),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f35,f611]) ).

fof(f613,plain,
    ( n8 != sum(sum(n14,n0),n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f19,f612]) ).

fof(f614,plain,
    ( n8 != sum(n14,n10)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f260,f613]) ).

fof(f615,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f614,f270]) ).

fof(f616,plain,
    ( ~ spl0_15
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f615]) ).

fof(f617,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f458,f294]) ).

fof(f618,plain,
    ( sum(sum(pred(n14),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f617]) ).

fof(f619,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f34,f618]) ).

fof(f620,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),succ(n14))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f619]) ).

fof(f621,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f620]) ).

fof(f622,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(pred(n14),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f621]) ).

fof(f623,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(n13,succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f34,f622]) ).

fof(f624,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(n13,n15),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f623]) ).

fof(f625,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f259,f624]) ).

fof(f642,plain,
    ( sum(sum(n13,succ(n0)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f465,f625]) ).

fof(f643,plain,
    ( sum(sum(n13,n1),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f4,f642]) ).

fof(f644,plain,
    ( sum(n14,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f245,f643]) ).

fof(f645,plain,
    ( sum(n14,sum(pred(n0),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f465,f644]) ).

fof(f646,plain,
    ( sum(n14,sum(n15,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f20,f645]) ).

fof(f647,plain,
    ( sum(n14,n14) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f291,f646]) ).

fof(f648,plain,
    ( n12 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f274,f647]) ).

fof(f649,plain,
    ( n12 != sum(n12,sum(pred(n0),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f465,f648]) ).

fof(f650,plain,
    ( n12 != sum(n12,sum(n15,succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f20,f649]) ).

fof(f651,plain,
    ( n12 != sum(n12,sum(n15,succ(n0)))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f465,f650]) ).

fof(f652,plain,
    ( n12 != sum(n12,sum(n15,n1))
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f4,f651]) ).

fof(f653,plain,
    ( n12 != sum(n12,n0)
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f277,f652]) ).

fof(f654,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f653,f228]) ).

fof(f655,plain,
    ( ~ spl0_16
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f654]) ).

fof(f656,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f419,f294]) ).

fof(f657,plain,
    ( sum(sum(pred(n1),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f419,f656]) ).

fof(f658,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f21,f657]) ).

fof(f659,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(n1))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f419,f658]) ).

fof(f660,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f5,f659]) ).

fof(f661,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f419,f660]) ).

fof(f662,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f21,f661]) ).

fof(f663,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,n2),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f5,f662]) ).

fof(f664,plain,
    ( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f38,f663]) ).

fof(f677,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f678,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f677]) ).

fof(f679,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f678]) ).

fof(f680,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f679]) ).

fof(f681,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f680]) ).

fof(f682,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f681]) ).

fof(f683,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f682]) ).

fof(f684,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f683]) ).

fof(f685,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f684]) ).

fof(f696,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f697,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f696]) ).

fof(f698,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f697]) ).

fof(f699,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f698]) ).

fof(f700,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f699]) ).

fof(f701,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f700]) ).

fof(f702,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f701]) ).

fof(f703,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f702]) ).

fof(f704,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f703]) ).

fof(f734,plain,
    ( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f294]) ).

fof(f735,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f734]) ).

fof(f736,plain,
    ( sum(sum(n1,succ(n7)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f486,f735]) ).

fof(f737,plain,
    ( sum(sum(n1,n8),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f11,f736]) ).

fof(f738,plain,
    ( sum(n9,sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f60,f737]) ).

fof(f739,plain,
    ( sum(n9,sum(pred(n7),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f486,f738]) ).

fof(f740,plain,
    ( sum(n9,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f27,f739]) ).

fof(f741,plain,
    ( sum(n9,sum(n6,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f740]) ).

fof(f742,plain,
    ( sum(n9,sum(n6,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f741]) ).

fof(f743,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f135,f742]) ).

fof(f744,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f189,f743]) ).

fof(f745,plain,
    ( n2 != sum(sum(pred(n2),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f744]) ).

fof(f746,plain,
    ( n2 != sum(sum(n1,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f745]) ).

fof(f747,plain,
    ( n2 != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f746]) ).

fof(f748,plain,
    ( n2 != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f747]) ).

fof(f749,plain,
    ( n2 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f748]) ).

fof(f750,plain,
    ( n2 != sum(n4,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f486,f749]) ).

fof(f751,plain,
    ( n2 != sum(n4,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f27,f750]) ).

fof(f752,plain,
    ( n2 != sum(n4,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f486,f751]) ).

fof(f753,plain,
    ( n2 != sum(n4,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f11,f752]) ).

fof(f754,plain,
    ( n2 != sum(n4,n14)
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f140,f753]) ).

fof(f755,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f754,f114]) ).

fof(f756,plain,
    ( ~ spl0_23
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f755]) ).

fof(f757,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f452,f294]) ).

fof(f758,plain,
    ( sum(sum(pred(n12),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f452,f757]) ).

fof(f759,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f32,f758]) ).

fof(f760,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),succ(n12))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f452,f759]) ).

fof(f761,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f16,f760]) ).

fof(f762,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(pred(n12),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f452,f761]) ).

fof(f763,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(n11,succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f32,f762]) ).

fof(f764,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(n11,n13),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f16,f763]) ).

fof(f765,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f225,f764]) ).

fof(f786,plain,
    ( sum(sum(n11,succ(n6)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f483,f765]) ).

fof(f787,plain,
    ( sum(sum(n11,n7),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f10,f786]) ).

fof(f788,plain,
    ( sum(n2,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f219,f787]) ).

fof(f789,plain,
    ( sum(n2,sum(pred(n6),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f483,f788]) ).

fof(f790,plain,
    ( sum(n2,sum(n5,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f26,f789]) ).

fof(f791,plain,
    ( sum(n2,n2) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f129,f790]) ).

fof(f792,plain,
    ( n4 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f70,f791]) ).

fof(f793,plain,
    ( n4 != sum(n8,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f483,f792]) ).

fof(f794,plain,
    ( n4 != sum(n8,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f26,f793]) ).

fof(f795,plain,
    ( n4 != sum(n8,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f483,f794]) ).

fof(f796,plain,
    ( n4 != sum(n8,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f10,f795]) ).

fof(f797,plain,
    ( n4 != sum(n8,n12)
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f123,f796]) ).

fof(f798,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f797,f176]) ).

fof(f799,plain,
    ( ~ spl0_22
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f798]) ).

fof(f800,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f440,f294]) ).

fof(f801,plain,
    ( sum(sum(pred(n8),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f800]) ).

fof(f802,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f801]) ).

fof(f803,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(n8))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f802]) ).

fof(f804,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f12,f803]) ).

fof(f805,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f804]) ).

fof(f806,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f805]) ).

fof(f807,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,n9),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f12,f806]) ).

fof(f808,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f157,f807]) ).

fof(f824,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f428,f294]) ).

fof(f825,plain,
    ( sum(sum(pred(n4),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f428,f824]) ).

fof(f826,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f24,f825]) ).

fof(f827,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(n4))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f428,f826]) ).

fof(f828,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f8,f827]) ).

fof(f829,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f428,f828]) ).

fof(f830,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f24,f829]) ).

fof(f831,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,n5),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f8,f830]) ).

fof(f832,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f89,f831]) ).

fof(f848,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f492,f294]) ).

fof(f849,plain,
    ( sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f848]) ).

fof(f850,plain,
    ( sum(sum(pred(sk0_0),n10),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f13,f849]) ).

fof(f851,plain,
    ( sum(sum(pred(sk0_0),n10),sum(pred(n9),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f850]) ).

fof(f852,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f851]) ).

fof(f853,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n9),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f852]) ).

fof(f854,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f853]) ).

fof(f855,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,n10))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f13,f854]) ).

fof(f856,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f174,f855]) ).

fof(f882,plain,
    ( sum(sum(pred(n3),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f425,f856]) ).

fof(f883,plain,
    ( sum(sum(n2,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f23,f882]) ).

fof(f884,plain,
    ( sum(n12,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f78,f883]) ).

fof(f885,plain,
    ( sum(n12,sum(n8,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f425,f884]) ).

fof(f886,plain,
    ( sum(n12,sum(n8,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f7,f885]) ).

fof(f887,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f168,f886]) ).

fof(f888,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f240,f887]) ).

fof(f889,plain,
    ( n8 != sum(sum(pred(n3),succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f425,f888]) ).

fof(f890,plain,
    ( n8 != sum(sum(n2,succ(sk0_0)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f23,f889]) ).

fof(f891,plain,
    ( n8 != sum(sum(n2,succ(n3)),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f425,f890]) ).

fof(f892,plain,
    ( n8 != sum(sum(n2,n4),n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f7,f891]) ).

fof(f893,plain,
    ( n8 != sum(n6,n2)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f72,f892]) ).

fof(f894,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f893,f134]) ).

fof(f895,plain,
    ( ~ spl0_3
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f894]) ).

fof(f896,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f455,f294]) ).

fof(f897,plain,
    ( sum(sum(pred(n13),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f896]) ).

fof(f898,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f897]) ).

fof(f899,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(n13))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f898]) ).

fof(f900,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f899]) ).

fof(f901,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f900]) ).

fof(f902,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f901]) ).

fof(f903,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,n14),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f902]) ).

fof(f904,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f903]) ).

fof(f930,plain,
    ( sum(sum(n12,succ(n8)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f489,f904]) ).

fof(f931,plain,
    ( sum(sum(n12,n9),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f12,f930]) ).

fof(f932,plain,
    ( sum(n5,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f237,f931]) ).

fof(f933,plain,
    ( sum(n5,sum(pred(n8),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f489,f932]) ).

fof(f934,plain,
    ( sum(n5,sum(n7,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f28,f933]) ).

fof(f935,plain,
    ( sum(n5,n5) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f162,f934]) ).

fof(f936,plain,
    ( n10 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f121,f935]) ).

fof(f937,plain,
    ( n10 != sum(n10,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f489,f936]) ).

fof(f938,plain,
    ( n10 != sum(n10,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f28,f937]) ).

fof(f939,plain,
    ( n10 != sum(n10,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f489,f938]) ).

fof(f940,plain,
    ( n10 != sum(n10,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f12,f939]) ).

fof(f941,plain,
    ( n10 != sum(n10,n0)
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f157,f940]) ).

fof(f942,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f941,f196]) ).

fof(f943,plain,
    ( ~ spl0_24
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f942]) ).

fof(f944,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f425,f294]) ).

fof(f945,plain,
    ( sum(sum(pred(n3),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f944]) ).

fof(f946,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f945]) ).

fof(f947,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f946]) ).

fof(f948,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f947]) ).

fof(f949,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f948]) ).

fof(f950,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f949]) ).

fof(f951,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,n4),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f950]) ).

fof(f952,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f951]) ).

fof(f979,plain,
    ( sum(sum(n2,succ(n11)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f498,f952]) ).

fof(f980,plain,
    ( sum(sum(n2,n12),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f15,f979]) ).

fof(f981,plain,
    ( sum(n14,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f80,f980]) ).

fof(f982,plain,
    ( sum(n14,sum(pred(n11),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f498,f981]) ).

fof(f983,plain,
    ( sum(n14,sum(n10,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f31,f982]) ).

fof(f984,plain,
    ( sum(n14,n14) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f200,f983]) ).

fof(f985,plain,
    ( n12 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f274,f984]) ).

fof(f986,plain,
    ( n12 != sum(n6,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f498,f985]) ).

fof(f987,plain,
    ( n12 != sum(n6,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f31,f986]) ).

fof(f988,plain,
    ( n12 != sum(n6,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f498,f987]) ).

fof(f989,plain,
    ( n12 != sum(n6,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f15,f988]) ).

fof(f990,plain,
    ( n12 != sum(n6,n6)
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f208,f989]) ).

fof(f991,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f990,f138]) ).

fof(f992,plain,
    ( ~ spl0_27
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f991]) ).

fof(f993,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f455,f294]) ).

fof(f994,plain,
    ( sum(sum(pred(n13),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f993]) ).

fof(f995,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f994]) ).

fof(f996,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(n13))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f995]) ).

fof(f997,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f996]) ).

fof(f998,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f997]) ).

fof(f999,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f998]) ).

fof(f1000,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,n14),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f999]) ).

fof(f1001,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f1000]) ).

fof(f1017,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f495,f904]) ).

fof(f1018,plain,
    ( sum(sum(n12,succ(n10)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f495,f1017]) ).

fof(f1019,plain,
    ( sum(sum(n12,n11),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f14,f1018]) ).

fof(f1020,plain,
    ( sum(n7,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f239,f1019]) ).

fof(f1021,plain,
    ( sum(n7,sum(pred(n10),n14)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f495,f1020]) ).

fof(f1022,plain,
    ( sum(n7,sum(n9,n14)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f30,f1021]) ).

fof(f1023,plain,
    ( sum(n7,n7) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f194,f1022]) ).

fof(f1024,plain,
    ( n14 != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f155,f1023]) ).

fof(f1025,plain,
    ( n14 != sum(n10,sum(pred(n10),succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f495,f1024]) ).

fof(f1026,plain,
    ( n14 != sum(n10,sum(n9,succ(n10)))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f30,f1025]) ).

fof(f1027,plain,
    ( n14 != sum(n10,sum(n9,n11))
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f14,f1026]) ).

fof(f1028,plain,
    ( n14 != sum(n10,n4)
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f191,f1027]) ).

fof(f1029,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1028,f200]) ).

fof(f1030,plain,
    ( ~ spl0_26
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1029]) ).

fof(f1031,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f425,f294]) ).

fof(f1032,plain,
    ( sum(sum(pred(n3),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1031]) ).

fof(f1033,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1032]) ).

fof(f1034,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1033]) ).

fof(f1035,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1034]) ).

fof(f1036,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1035]) ).

fof(f1037,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1036]) ).

fof(f1038,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,n4),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1037]) ).

fof(f1039,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f1038]) ).

fof(f1067,plain,
    ( sum(sum(n2,succ(n13)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f504,f952]) ).

fof(f1068,plain,
    ( sum(sum(n2,n14),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f17,f1067]) ).

fof(f1069,plain,
    ( sum(n0,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f82,f1068]) ).

fof(f1070,plain,
    ( sum(n0,sum(pred(n13),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f504,f1069]) ).

fof(f1071,plain,
    ( sum(n0,sum(n12,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f33,f1070]) ).

fof(f1072,plain,
    ( sum(n0,n0) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f232,f1071]) ).

fof(f1073,plain,
    ( n0 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f36,f1072]) ).

fof(f1074,plain,
    ( n0 != sum(n6,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f504,f1073]) ).

fof(f1075,plain,
    ( n0 != sum(n6,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f33,f1074]) ).

fof(f1076,plain,
    ( n0 != sum(n6,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f504,f1075]) ).

fof(f1077,plain,
    ( n0 != sum(n6,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f17,f1076]) ).

fof(f1078,plain,
    ( n0 != sum(n6,n10)
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f242,f1077]) ).

fof(f1079,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1078,f142]) ).

fof(f1080,plain,
    ( ~ spl0_29
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1079]) ).

fof(f1081,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f455,f294]) ).

fof(f1082,plain,
    ( sum(sum(pred(n13),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1081]) ).

fof(f1083,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1082]) ).

fof(f1084,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(n13))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1083]) ).

fof(f1085,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1084]) ).

fof(f1086,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1085]) ).

fof(f1087,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1086]) ).

fof(f1088,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,n14),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1087]) ).

fof(f1089,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f1088]) ).

fof(f1117,plain,
    ( sum(sum(n12,succ(n12)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f501,f1001]) ).

fof(f1118,plain,
    ( sum(sum(n12,n13),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f16,f1117]) ).

fof(f1119,plain,
    ( sum(n9,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f241,f1118]) ).

fof(f1120,plain,
    ( sum(n9,sum(pred(n12),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f501,f1119]) ).

fof(f1121,plain,
    ( sum(n9,sum(n11,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f32,f1120]) ).

fof(f1122,plain,
    ( sum(n9,n9) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f226,f1121]) ).

fof(f1123,plain,
    ( n2 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f189,f1122]) ).

fof(f1124,plain,
    ( n2 != sum(n10,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f501,f1123]) ).

fof(f1125,plain,
    ( n2 != sum(n10,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f32,f1124]) ).

fof(f1126,plain,
    ( n2 != sum(n10,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f501,f1125]) ).

fof(f1127,plain,
    ( n2 != sum(n10,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f16,f1126]) ).

fof(f1128,plain,
    ( n2 != sum(n10,n8)
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f225,f1127]) ).

fof(f1129,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1128,f204]) ).

fof(f1130,plain,
    ( ~ spl0_28
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1129]) ).

fof(f1131,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f425,f294]) ).

fof(f1132,plain,
    ( sum(sum(pred(n3),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1131]) ).

fof(f1133,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1132]) ).

fof(f1134,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1133]) ).

fof(f1135,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1134]) ).

fof(f1136,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1135]) ).

fof(f1137,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1136]) ).

fof(f1138,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,n4),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1137]) ).

fof(f1139,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f1138]) ).

fof(f1168,plain,
    ( sum(sum(n2,succ(n15)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f510,f1039]) ).

fof(f1169,plain,
    ( sum(sum(n2,n0),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f19,f1168]) ).

fof(f1170,plain,
    ( sum(n2,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f68,f1169]) ).

fof(f1171,plain,
    ( sum(n2,sum(pred(n15),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f510,f1170]) ).

fof(f1172,plain,
    ( sum(n2,sum(n14,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f35,f1171]) ).

fof(f1173,plain,
    ( sum(n2,n2) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f264,f1172]) ).

fof(f1174,plain,
    ( n4 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f70,f1173]) ).

fof(f1175,plain,
    ( n4 != sum(n6,sum(pred(n15),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f510,f1174]) ).

fof(f1176,plain,
    ( n4 != sum(n6,sum(n14,succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f35,f1175]) ).

fof(f1177,plain,
    ( n4 != sum(n6,sum(n14,succ(n15)))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f510,f1176]) ).

fof(f1178,plain,
    ( n4 != sum(n6,sum(n14,n0))
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f19,f1177]) ).

fof(f1179,plain,
    ( n4 != sum(n6,n14)
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f260,f1178]) ).

fof(f1180,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1179,f146]) ).

fof(f1181,plain,
    ( ~ spl0_31
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1180]) ).

fof(f1182,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f455,f294]) ).

fof(f1183,plain,
    ( sum(sum(pred(n13),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1182]) ).

fof(f1184,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1183]) ).

fof(f1185,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(n13))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1184]) ).

fof(f1186,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1185]) ).

fof(f1187,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1186]) ).

fof(f1188,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1187]) ).

fof(f1189,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,n14),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1188]) ).

fof(f1190,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f1189]) ).

fof(f1219,plain,
    ( sum(sum(n12,succ(n14)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f507,f904]) ).

fof(f1220,plain,
    ( sum(sum(n12,n15),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f18,f1219]) ).

fof(f1221,plain,
    ( sum(n11,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f243,f1220]) ).

fof(f1222,plain,
    ( sum(n11,sum(pred(n14),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f507,f1221]) ).

fof(f1223,plain,
    ( sum(n11,sum(n13,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f34,f1222]) ).

fof(f1224,plain,
    ( sum(n11,n11) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f258,f1223]) ).

fof(f1225,plain,
    ( n6 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f223,f1224]) ).

fof(f1226,plain,
    ( n6 != sum(n10,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f507,f1225]) ).

fof(f1227,plain,
    ( n6 != sum(n10,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f34,f1226]) ).

fof(f1228,plain,
    ( n6 != sum(n10,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f507,f1227]) ).

fof(f1229,plain,
    ( n6 != sum(n10,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f18,f1228]) ).

fof(f1230,plain,
    ( n6 != sum(n10,n12)
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f259,f1229]) ).

fof(f1231,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1230,f208]) ).

fof(f1232,plain,
    ( ~ spl0_30
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1231]) ).

fof(f1233,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f425,f294]) ).

fof(f1234,plain,
    ( sum(sum(pred(n3),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1233]) ).

fof(f1235,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1234]) ).

fof(f1236,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1235]) ).

fof(f1237,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1236]) ).

fof(f1238,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f425,f1237]) ).

fof(f1239,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1238]) ).

fof(f1240,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,n4),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1239]) ).

fof(f1241,plain,
    ( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f1240]) ).

fof(f1270,plain,
    ( sum(sum(n2,succ(n2)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f471,f952]) ).

fof(f1271,plain,
    ( sum(sum(n2,n3),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f6,f1270]) ).

fof(f1272,plain,
    ( sum(n5,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f71,f1271]) ).

fof(f1273,plain,
    ( sum(n5,sum(pred(n2),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f471,f1272]) ).

fof(f1274,plain,
    ( sum(n5,sum(n1,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f22,f1273]) ).

fof(f1275,plain,
    ( sum(n5,n5) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f56,f1274]) ).

fof(f1276,plain,
    ( n10 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f121,f1275]) ).

fof(f1277,plain,
    ( n10 != sum(n6,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f471,f1276]) ).

fof(f1278,plain,
    ( n10 != sum(n6,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f22,f1277]) ).

fof(f1279,plain,
    ( n10 != sum(n6,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f471,f1278]) ).

fof(f1280,plain,
    ( n10 != sum(n6,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f6,f1279]) ).

fof(f1281,plain,
    ( n10 != sum(n6,n4)
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f55,f1280]) ).

fof(f1282,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1281,f136]) ).

fof(f1283,plain,
    ( ~ spl0_18
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1282]) ).

fof(f1284,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f455,f294]) ).

fof(f1285,plain,
    ( sum(sum(pred(n13),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1284]) ).

fof(f1286,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1285]) ).

fof(f1287,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(n13))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1286]) ).

fof(f1288,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1287]) ).

fof(f1289,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1288]) ).

fof(f1290,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1289]) ).

fof(f1291,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,n14),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1290]) ).

fof(f1292,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f1291]) ).

fof(f1321,plain,
    ( sum(sum(n12,succ(n1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f468,f1089]) ).

fof(f1322,plain,
    ( sum(sum(n12,n2),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f5,f1321]) ).

fof(f1323,plain,
    ( sum(n14,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f230,f1322]) ).

fof(f1324,plain,
    ( sum(n14,sum(pred(n1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f468,f1323]) ).

fof(f1325,plain,
    ( sum(n14,sum(n0,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f21,f1324]) ).

fof(f1326,plain,
    ( sum(n14,n14) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f50,f1325]) ).

fof(f1327,plain,
    ( n12 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f274,f1326]) ).

fof(f1328,plain,
    ( n12 != sum(n10,sum(pred(n1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f468,f1327]) ).

fof(f1329,plain,
    ( n12 != sum(n10,sum(n0,succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f21,f1328]) ).

fof(f1330,plain,
    ( n12 != sum(n10,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f468,f1329]) ).

fof(f1331,plain,
    ( n12 != sum(n10,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f5,f1330]) ).

fof(f1332,plain,
    ( n12 != sum(n10,n2)
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f38,f1331]) ).

fof(f1333,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1332,f198]) ).

fof(f1334,plain,
    ( ~ spl0_17
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1333]) ).

fof(f1335,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f480,f294]) ).

fof(f1336,plain,
    ( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f1335]) ).

fof(f1337,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f1336]) ).

fof(f1338,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f1337]) ).

fof(f1339,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f1338]) ).

fof(f1340,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f1339]) ).

fof(f1341,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f1340]) ).

fof(f1342,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f1341]) ).

fof(f1343,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f106,f1342]) ).

fof(f1372,plain,
    ( sum(sum(pred(n3),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f425,f602]) ).

fof(f1373,plain,
    ( sum(sum(n2,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f23,f1372]) ).

fof(f1374,plain,
    ( sum(n8,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f74,f1373]) ).

fof(f1375,plain,
    ( sum(n8,sum(n4,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f425,f1374]) ).

fof(f1376,plain,
    ( sum(n8,sum(n4,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f7,f1375]) ).

fof(f1377,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f104,f1376]) ).

fof(f1378,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f172,f1377]) ).

fof(f1379,plain,
    ( n0 != sum(sum(pred(n3),succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f425,f1378]) ).

fof(f1380,plain,
    ( n0 != sum(sum(n2,succ(sk0_0)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f23,f1379]) ).

fof(f1381,plain,
    ( n0 != sum(sum(n2,succ(n3)),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f425,f1380]) ).

fof(f1382,plain,
    ( n0 != sum(sum(n2,n4),n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f7,f1381]) ).

fof(f1383,plain,
    ( n0 != sum(n6,n10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f72,f1382]) ).

fof(f1384,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1383,f142]) ).

fof(f1385,plain,
    ( ~ spl0_3
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f1384]) ).

fof(f1386,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f455,f294]) ).

fof(f1387,plain,
    ( sum(sum(pred(n13),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1386]) ).

fof(f1388,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1387]) ).

fof(f1389,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),succ(n13))) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1388]) ).

fof(f1390,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1389]) ).

fof(f1391,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f455,f1390]) ).

fof(f1392,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,succ(n13)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f1391]) ).

fof(f1393,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(sum(n12,n14),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f1392]) ).

fof(f1394,plain,
    ( sum(sum(n12,succ(sk0_1)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f1393]) ).

fof(f1424,plain,
    ( sum(sum(n12,succ(n3)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f474,f1001]) ).

fof(f1425,plain,
    ( sum(sum(n12,n4),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f7,f1424]) ).

fof(f1426,plain,
    ( sum(n0,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f232,f1425]) ).

fof(f1427,plain,
    ( sum(n0,sum(pred(n3),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f474,f1426]) ).

fof(f1428,plain,
    ( sum(n0,sum(n2,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f23,f1427]) ).

fof(f1429,plain,
    ( sum(n0,n0) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f82,f1428]) ).

fof(f1430,plain,
    ( n0 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f36,f1429]) ).

fof(f1431,plain,
    ( n0 != sum(n10,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f474,f1430]) ).

fof(f1432,plain,
    ( n0 != sum(n10,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f23,f1431]) ).

fof(f1433,plain,
    ( n0 != sum(n10,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f474,f1432]) ).

fof(f1434,plain,
    ( n0 != sum(n10,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f7,f1433]) ).

fof(f1435,plain,
    ( n0 != sum(n10,n6)
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f72,f1434]) ).

fof(f1436,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1435,f202]) ).

fof(f1437,plain,
    ( ~ spl0_19
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1436]) ).

fof(f1438,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f486,f294]) ).

fof(f1439,plain,
    ( sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f486,f1438]) ).

fof(f1440,plain,
    ( sum(sum(pred(sk0_0),n8),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f11,f1439]) ).

fof(f1441,plain,
    ( sum(sum(pred(sk0_0),n8),sum(pred(n7),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f486,f1440]) ).

fof(f1442,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f1441]) ).

fof(f1443,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n7),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f486,f1442]) ).

fof(f1444,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f1443]) ).

fof(f1445,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,n8))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f11,f1444]) ).

fof(f1446,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f140,f1445]) ).

fof(f1475,plain,
    ( sum(sum(n2,succ(n7)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f486,f1139]) ).

fof(f1476,plain,
    ( sum(sum(n2,n8),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f11,f1475]) ).

fof(f1477,plain,
    ( sum(n10,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f76,f1476]) ).

fof(f1478,plain,
    ( sum(n10,sum(pred(n7),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f486,f1477]) ).

fof(f1479,plain,
    ( sum(n10,sum(n6,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f27,f1478]) ).

fof(f1480,plain,
    ( sum(n10,n10) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f136,f1479]) ).

fof(f1481,plain,
    ( n4 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f206,f1480]) ).

fof(f1482,plain,
    ( n4 != sum(n6,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f486,f1481]) ).

fof(f1483,plain,
    ( n4 != sum(n6,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f27,f1482]) ).

fof(f1484,plain,
    ( n4 != sum(n6,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f486,f1483]) ).

fof(f1485,plain,
    ( n4 != sum(n6,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f11,f1484]) ).

fof(f1486,plain,
    ( n4 != sum(n6,n14)
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f140,f1485]) ).

fof(f1487,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1486,f146]) ).

fof(f1488,plain,
    ( ~ spl0_23
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1487]) ).

fof(f1489,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f483,f294]) ).

fof(f1490,plain,
    ( sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f1489]) ).

fof(f1491,plain,
    ( sum(sum(pred(sk0_0),n7),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f10,f1490]) ).

fof(f1492,plain,
    ( sum(sum(pred(sk0_0),n7),sum(pred(n6),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f1491]) ).

fof(f1493,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f1492]) ).

fof(f1494,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n6),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f1493]) ).

fof(f1495,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f1494]) ).

fof(f1496,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,n7))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f10,f1495]) ).

fof(f1497,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f123,f1496]) ).

fof(f1526,plain,
    ( sum(sum(n12,succ(n6)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f483,f1190]) ).

fof(f1527,plain,
    ( sum(sum(n12,n7),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f10,f1526]) ).

fof(f1528,plain,
    ( sum(n3,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f235,f1527]) ).

fof(f1529,plain,
    ( sum(n3,sum(pred(n6),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f483,f1528]) ).

fof(f1530,plain,
    ( sum(n3,sum(n5,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f26,f1529]) ).

fof(f1531,plain,
    ( sum(n3,n3) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f130,f1530]) ).

fof(f1532,plain,
    ( n6 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f87,f1531]) ).

fof(f1533,plain,
    ( n6 != sum(n10,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f483,f1532]) ).

fof(f1534,plain,
    ( n6 != sum(n10,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f26,f1533]) ).

fof(f1535,plain,
    ( n6 != sum(n10,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f483,f1534]) ).

fof(f1536,plain,
    ( n6 != sum(n10,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f10,f1535]) ).

fof(f1537,plain,
    ( n6 != sum(n10,n12)
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f123,f1536]) ).

fof(f1538,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1537,f208]) ).

fof(f1539,plain,
    ( ~ spl0_22
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1538]) ).

fof(f1540,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f492,f294]) ).

fof(f1541,plain,
    ( sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f1540]) ).

fof(f1542,plain,
    ( sum(sum(pred(sk0_0),n10),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f13,f1541]) ).

fof(f1543,plain,
    ( sum(sum(pred(sk0_0),n10),sum(pred(n9),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f1542]) ).

fof(f1544,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f1543]) ).

fof(f1545,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n9),succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f1544]) ).

fof(f1546,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f1545]) ).

fof(f1547,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,n10))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f13,f1546]) ).

fof(f1548,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f174,f1547]) ).

fof(f1562,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f449,f856]) ).

fof(f1563,plain,
    ( sum(sum(pred(n11),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f449,f1562]) ).

fof(f1564,plain,
    ( sum(sum(n10,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f31,f1563]) ).

fof(f1565,plain,
    ( sum(n4,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f206,f1564]) ).

fof(f1566,plain,
    ( sum(n4,sum(n8,succ(n11))) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f449,f1565]) ).

fof(f1567,plain,
    ( sum(n4,sum(n8,n12)) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f15,f1566]) ).

fof(f1568,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f176,f1567]) ).

fof(f1569,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f104,f1568]) ).

fof(f1570,plain,
    ( n8 != sum(sum(pred(n11),succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f449,f1569]) ).

fof(f1571,plain,
    ( n8 != sum(sum(n10,succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f31,f1570]) ).

fof(f1572,plain,
    ( n8 != sum(sum(n10,n12),n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f15,f1571]) ).

fof(f1573,plain,
    ( n8 != sum(n6,n2)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f208,f1572]) ).

fof(f1574,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1573,f134]) ).

fof(f1575,plain,
    ( ~ spl0_11
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f1574]) ).

fof(f1591,plain,
    ( sum(sum(pred(n7),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f437,f1548]) ).

fof(f1592,plain,
    ( sum(sum(n6,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f27,f1591]) ).

fof(f1593,plain,
    ( sum(n0,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f142,f1592]) ).

fof(f1594,plain,
    ( sum(n0,sum(n8,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f437,f1593]) ).

fof(f1595,plain,
    ( sum(n0,sum(n8,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f11,f1594]) ).

fof(f1596,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f172,f1595]) ).

fof(f1597,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f36,f1596]) ).

fof(f1598,plain,
    ( n0 != sum(sum(pred(n7),succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f437,f1597]) ).

fof(f1599,plain,
    ( n0 != sum(sum(n6,succ(sk0_0)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f27,f1598]) ).

fof(f1600,plain,
    ( n0 != sum(sum(n6,succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f437,f1599]) ).

fof(f1601,plain,
    ( n0 != sum(sum(n6,n8),n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f11,f1600]) ).

fof(f1602,plain,
    ( n0 != sum(n14,n2)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f140,f1601]) ).

fof(f1603,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1602,f262]) ).

fof(f1604,plain,
    ( ~ spl0_7
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f1603]) ).

fof(f1605,plain,
    ( sum(sum(n0,succ(n9)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f492,f664]) ).

fof(f1606,plain,
    ( sum(sum(n0,n10),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f13,f1605]) ).

fof(f1607,plain,
    ( sum(n10,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f46,f1606]) ).

fof(f1608,plain,
    ( sum(n10,sum(pred(n9),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f492,f1607]) ).

fof(f1609,plain,
    ( sum(n10,sum(n8,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f29,f1608]) ).

fof(f1610,plain,
    ( sum(n10,n10) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f166,f1609]) ).

fof(f1611,plain,
    ( n4 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f206,f1610]) ).

fof(f1612,plain,
    ( n4 != sum(n2,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f492,f1611]) ).

fof(f1613,plain,
    ( n4 != sum(n2,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f29,f1612]) ).

fof(f1614,plain,
    ( n4 != sum(n2,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f492,f1613]) ).

fof(f1615,plain,
    ( n4 != sum(n2,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f13,f1614]) ).

fof(f1616,plain,
    ( n4 != sum(n2,n2)
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f174,f1615]) ).

fof(f1617,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1616,f70]) ).

fof(f1618,plain,
    ( ~ spl0_25
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f1617]) ).

fof(f1619,plain,
    ( sum(sum(n3,succ(n9)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f492,f832]) ).

fof(f1620,plain,
    ( sum(sum(n3,n10),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f13,f1619]) ).

fof(f1621,plain,
    ( sum(n13,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f94,f1620]) ).

fof(f1622,plain,
    ( sum(n13,sum(pred(n9),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f492,f1621]) ).

fof(f1623,plain,
    ( sum(n13,sum(n8,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f29,f1622]) ).

fof(f1624,plain,
    ( sum(n13,n13) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f169,f1623]) ).

fof(f1625,plain,
    ( n10 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f257,f1624]) ).

fof(f1626,plain,
    ( n10 != sum(n8,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f492,f1625]) ).

fof(f1627,plain,
    ( n10 != sum(n8,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f29,f1626]) ).

fof(f1628,plain,
    ( n10 != sum(n8,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f492,f1627]) ).

fof(f1629,plain,
    ( n10 != sum(n8,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f13,f1628]) ).

fof(f1630,plain,
    ( n10 != sum(n8,n2)
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f174,f1629]) ).

fof(f1631,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1630,f166]) ).

fof(f1632,plain,
    ( ~ spl0_25
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f1631]) ).

fof(f1633,plain,
    ( sum(sum(n11,succ(n9)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f492,f765]) ).

fof(f1634,plain,
    ( sum(sum(n11,n10),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f13,f1633]) ).

fof(f1635,plain,
    ( sum(n5,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f222,f1634]) ).

fof(f1636,plain,
    ( sum(n5,sum(pred(n9),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f492,f1635]) ).

fof(f1637,plain,
    ( sum(n5,sum(n8,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f29,f1636]) ).

fof(f1638,plain,
    ( sum(n5,n5) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f177,f1637]) ).

fof(f1639,plain,
    ( n10 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f121,f1638]) ).

fof(f1640,plain,
    ( n10 != sum(n8,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f492,f1639]) ).

fof(f1641,plain,
    ( n10 != sum(n8,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f29,f1640]) ).

fof(f1642,plain,
    ( n10 != sum(n8,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f492,f1641]) ).

fof(f1643,plain,
    ( n10 != sum(n8,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f13,f1642]) ).

fof(f1644,plain,
    ( n10 != sum(n8,n2)
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f174,f1643]) ).

fof(f1645,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1644,f166]) ).

fof(f1646,plain,
    ( ~ spl0_25
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f1645]) ).

fof(f1647,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f489,f294]) ).

fof(f1648,plain,
    ( sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f489,f1647]) ).

fof(f1649,plain,
    ( sum(sum(pred(sk0_0),n9),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f12,f1648]) ).

fof(f1650,plain,
    ( sum(sum(pred(sk0_0),n9),sum(pred(n8),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f489,f1649]) ).

fof(f1651,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f28,f1650]) ).

fof(f1652,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n8),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f489,f1651]) ).

fof(f1653,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f28,f1652]) ).

fof(f1654,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,n9))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f12,f1653]) ).

fof(f1655,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f157,f1654]) ).

fof(f1670,plain,
    ( sum(sum(n2,succ(n8)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f489,f1039]) ).

fof(f1671,plain,
    ( sum(sum(n2,n9),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f12,f1670]) ).

fof(f1672,plain,
    ( sum(n11,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f77,f1671]) ).

fof(f1673,plain,
    ( sum(n11,sum(pred(n8),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f489,f1672]) ).

fof(f1674,plain,
    ( sum(n11,sum(n7,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f28,f1673]) ).

fof(f1675,plain,
    ( sum(n11,n11) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f152,f1674]) ).

fof(f1676,plain,
    ( n6 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f223,f1675]) ).

fof(f1677,plain,
    ( n6 != sum(n6,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f489,f1676]) ).

fof(f1678,plain,
    ( n6 != sum(n6,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f28,f1677]) ).

fof(f1679,plain,
    ( n6 != sum(n6,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f489,f1678]) ).

fof(f1680,plain,
    ( n6 != sum(n6,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f12,f1679]) ).

fof(f1681,plain,
    ( n6 != sum(n6,n0)
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f157,f1680]) ).

fof(f1682,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1681,f132]) ).

fof(f1683,plain,
    ( ~ spl0_24
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1682]) ).

fof(f1684,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f480,f294]) ).

fof(f1685,plain,
    ( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f1684]) ).

fof(f1686,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f1685]) ).

fof(f1687,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f1686]) ).

fof(f1688,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f1687]) ).

fof(f1689,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f1688]) ).

fof(f1690,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f1689]) ).

fof(f1691,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f1690]) ).

fof(f1692,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f106,f1691]) ).

fof(f1722,plain,
    ( sum(sum(pred(n13),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f455,f1343]) ).

fof(f1723,plain,
    ( sum(sum(n12,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f33,f1722]) ).

fof(f1724,plain,
    ( sum(n2,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f234,f1723]) ).

fof(f1725,plain,
    ( sum(n2,sum(n4,succ(n13))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f455,f1724]) ).

fof(f1726,plain,
    ( sum(n2,sum(n4,n14)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f17,f1725]) ).

fof(f1727,plain,
    ( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f114,f1726]) ).

fof(f1728,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f70,f1727]) ).

fof(f1729,plain,
    ( n4 != sum(sum(pred(n13),succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f455,f1728]) ).

fof(f1730,plain,
    ( n4 != sum(sum(n12,succ(sk0_0)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f33,f1729]) ).

fof(f1731,plain,
    ( n4 != sum(sum(n12,succ(n13)),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f455,f1730]) ).

fof(f1732,plain,
    ( n4 != sum(sum(n12,n14),n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f17,f1731]) ).

fof(f1733,plain,
    ( n4 != sum(n10,n10)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f242,f1732]) ).

fof(f1734,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1733,f206]) ).

fof(f1735,plain,
    ( ~ spl0_13
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f1734]) ).

fof(f1736,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f471,f294]) ).

fof(f1737,plain,
    ( sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f471,f1736]) ).

fof(f1738,plain,
    ( sum(sum(pred(sk0_0),n3),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f6,f1737]) ).

fof(f1739,plain,
    ( sum(sum(pred(sk0_0),n3),sum(pred(n2),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f471,f1738]) ).

fof(f1740,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f22,f1739]) ).

fof(f1741,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n2),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f471,f1740]) ).

fof(f1742,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n1,succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f22,f1741]) ).

fof(f1743,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n1,n3))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f6,f1742]) ).

fof(f1744,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f55,f1743]) ).

fof(f1773,plain,
    ( sum(sum(pred(n15),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f461,f1744]) ).

fof(f1774,plain,
    ( sum(sum(n14,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f35,f1773]) ).

fof(f1775,plain,
    ( sum(n1,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f263,f1774]) ).

fof(f1776,plain,
    ( sum(n1,sum(n1,succ(n15))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f461,f1775]) ).

fof(f1777,plain,
    ( sum(n1,sum(n1,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f19,f1776]) ).

fof(f1778,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f52,f1777]) ).

fof(f1779,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f53,f1778]) ).

fof(f1780,plain,
    ( n2 != sum(sum(pred(n15),succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f461,f1779]) ).

fof(f1781,plain,
    ( n2 != sum(sum(n14,succ(sk0_0)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f35,f1780]) ).

fof(f1782,plain,
    ( n2 != sum(sum(n14,succ(n15)),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f461,f1781]) ).

fof(f1783,plain,
    ( n2 != sum(sum(n14,n0),n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f19,f1782]) ).

fof(f1784,plain,
    ( n2 != sum(n14,n4)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f260,f1783]) ).

fof(f1785,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1784,f264]) ).

fof(f1786,plain,
    ( ~ spl0_15
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1785]) ).

fof(f1787,plain,
    ( sum(sum(n13,succ(n2)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f471,f625]) ).

fof(f1788,plain,
    ( sum(sum(n13,n3),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f6,f1787]) ).

fof(f1789,plain,
    ( sum(n0,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f247,f1788]) ).

fof(f1790,plain,
    ( sum(n0,sum(pred(n2),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f471,f1789]) ).

fof(f1791,plain,
    ( sum(n0,sum(n1,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f22,f1790]) ).

fof(f1792,plain,
    ( sum(n0,n0) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f67,f1791]) ).

fof(f1793,plain,
    ( n0 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f36,f1792]) ).

fof(f1794,plain,
    ( n0 != sum(n12,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f471,f1793]) ).

fof(f1795,plain,
    ( n0 != sum(n12,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f22,f1794]) ).

fof(f1796,plain,
    ( n0 != sum(n12,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f471,f1795]) ).

fof(f1797,plain,
    ( n0 != sum(n12,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f6,f1796]) ).

fof(f1798,plain,
    ( n0 != sum(n12,n4)
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f55,f1797]) ).

fof(f1799,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1798,f232]) ).

fof(f1800,plain,
    ( ~ spl0_18
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f1799]) ).

fof(f1801,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f468,f294]) ).

fof(f1802,plain,
    ( sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f1801]) ).

fof(f1803,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f1802]) ).

fof(f1804,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(n1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f1803]) ).

fof(f1805,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f1804]) ).

fof(f1806,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f1805]) ).

fof(f1807,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f1806]) ).

fof(f1808,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,n2))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f1807]) ).

fof(f1809,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f1808]) ).

fof(f1839,plain,
    ( sum(sum(n2,succ(n1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f468,f1241]) ).

fof(f1840,plain,
    ( sum(sum(n2,n2),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f5,f1839]) ).

fof(f1841,plain,
    ( sum(n4,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f70,f1840]) ).

fof(f1842,plain,
    ( sum(n4,sum(pred(n1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f468,f1841]) ).

fof(f1843,plain,
    ( sum(n4,sum(n0,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f21,f1842]) ).

fof(f1844,plain,
    ( sum(n4,n4) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f40,f1843]) ).

fof(f1845,plain,
    ( n8 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f104,f1844]) ).

fof(f1846,plain,
    ( n8 != sum(n6,sum(pred(n1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f468,f1845]) ).

fof(f1847,plain,
    ( n8 != sum(n6,sum(n0,succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f21,f1846]) ).

fof(f1848,plain,
    ( n8 != sum(n6,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f468,f1847]) ).

fof(f1849,plain,
    ( n8 != sum(n6,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f5,f1848]) ).

fof(f1850,plain,
    ( n8 != sum(n6,n2)
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f38,f1849]) ).

fof(f1851,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1850,f134]) ).

fof(f1852,plain,
    ( ~ spl0_17
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1851]) ).

fof(f1853,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f486,f294]) ).

fof(f1854,plain,
    ( sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f486,f1853]) ).

fof(f1855,plain,
    ( sum(sum(pred(sk0_0),n8),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f11,f1854]) ).

fof(f1856,plain,
    ( sum(sum(pred(sk0_0),n8),sum(pred(n7),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f486,f1855]) ).

fof(f1857,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f1856]) ).

fof(f1858,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n7),succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f486,f1857]) ).

fof(f1859,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,succ(n7)))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f1858]) ).

fof(f1860,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,n8))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f11,f1859]) ).

fof(f1861,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f140,f1860]) ).

fof(f1876,plain,
    ( sum(sum(n12,succ(n7)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f486,f904]) ).

fof(f1877,plain,
    ( sum(sum(n12,n8),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f11,f1876]) ).

fof(f1878,plain,
    ( sum(n4,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f236,f1877]) ).

fof(f1879,plain,
    ( sum(n4,sum(pred(n7),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f486,f1878]) ).

fof(f1880,plain,
    ( sum(n4,sum(n6,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f27,f1879]) ).

fof(f1881,plain,
    ( sum(n4,n4) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f146,f1880]) ).

fof(f1882,plain,
    ( n8 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f104,f1881]) ).

fof(f1883,plain,
    ( n8 != sum(n10,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f486,f1882]) ).

fof(f1884,plain,
    ( n8 != sum(n10,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f27,f1883]) ).

fof(f1885,plain,
    ( n8 != sum(n10,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f486,f1884]) ).

fof(f1886,plain,
    ( n8 != sum(n10,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f11,f1885]) ).

fof(f1887,plain,
    ( n8 != sum(n10,n14)
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f140,f1886]) ).

fof(f1888,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1887,f210]) ).

fof(f1889,plain,
    ( ~ spl0_23
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f1888]) ).

fof(f1890,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f474,f294]) ).

fof(f1891,plain,
    ( sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f1890]) ).

fof(f1892,plain,
    ( sum(sum(pred(sk0_0),n4),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f7,f1891]) ).

fof(f1893,plain,
    ( sum(sum(pred(sk0_0),n4),sum(pred(n3),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f1892]) ).

fof(f1894,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f23,f1893]) ).

fof(f1895,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n3),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f1894]) ).

fof(f1896,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f23,f1895]) ).

fof(f1897,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,n4))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f7,f1896]) ).

fof(f1898,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f72,f1897]) ).

fof(f1929,plain,
    ( sum(sum(n2,succ(n3)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f474,f952]) ).

fof(f1930,plain,
    ( sum(sum(n2,n4),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1929]) ).

fof(f1931,plain,
    ( sum(n6,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f1930]) ).

fof(f1932,plain,
    ( sum(n6,sum(pred(n3),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f474,f1931]) ).

fof(f1933,plain,
    ( sum(n6,sum(n2,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1932]) ).

fof(f1934,plain,
    ( sum(n6,n6) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f1933]) ).

fof(f1935,plain,
    ( n12 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f138,f1934]) ).

fof(f1936,plain,
    ( n12 != sum(n6,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f474,f1935]) ).

fof(f1937,plain,
    ( n12 != sum(n6,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f1936]) ).

fof(f1938,plain,
    ( n12 != sum(n6,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f474,f1937]) ).

fof(f1939,plain,
    ( n12 != sum(n6,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f7,f1938]) ).

fof(f1940,plain,
    ( n12 != sum(n6,n6)
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f72,f1939]) ).

fof(f1941,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1940,f138]) ).

fof(f1942,plain,
    ( ~ spl0_19
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1941]) ).

fof(f1943,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f471,f294]) ).

fof(f1944,plain,
    ( sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f471,f1943]) ).

fof(f1945,plain,
    ( sum(sum(pred(sk0_0),n3),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f6,f1944]) ).

fof(f1946,plain,
    ( sum(sum(pred(sk0_0),n3),sum(pred(n2),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f471,f1945]) ).

fof(f1947,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f22,f1946]) ).

fof(f1948,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n2),succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f471,f1947]) ).

fof(f1949,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n1,succ(n2)))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f22,f1948]) ).

fof(f1950,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n1,n3))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f6,f1949]) ).

fof(f1951,plain,
    ( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f55,f1950]) ).

fof(f1981,plain,
    ( sum(sum(pred(n13),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f455,f1744]) ).

fof(f1982,plain,
    ( sum(sum(n12,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f33,f1981]) ).

fof(f1983,plain,
    ( sum(n15,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f231,f1982]) ).

fof(f1984,plain,
    ( sum(n15,sum(n1,succ(n13))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f455,f1983]) ).

fof(f1985,plain,
    ( sum(n15,sum(n1,n14)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f17,f1984]) ).

fof(f1986,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f66,f1985]) ).

fof(f1987,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f291,f1986]) ).

fof(f1988,plain,
    ( n14 != sum(sum(pred(n13),succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f455,f1987]) ).

fof(f1989,plain,
    ( n14 != sum(sum(n12,succ(sk0_0)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f33,f1988]) ).

fof(f1990,plain,
    ( n14 != sum(sum(n12,succ(n13)),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f455,f1989]) ).

fof(f1991,plain,
    ( n14 != sum(sum(n12,n14),n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f17,f1990]) ).

fof(f1992,plain,
    ( n14 != sum(n10,n4)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f242,f1991]) ).

fof(f1993,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1992,f200]) ).

fof(f1994,plain,
    ( ~ spl0_13
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1993]) ).

fof(f1995,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f507,f294]) ).

fof(f1996,plain,
    ( sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f1995]) ).

fof(f1997,plain,
    ( sum(sum(pred(sk0_0),n15),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f1996]) ).

fof(f1998,plain,
    ( sum(sum(pred(sk0_0),n15),sum(pred(n14),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f1997]) ).

fof(f1999,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f1998]) ).

fof(f2000,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n14),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f1999]) ).

fof(f2001,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n13,succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f2000]) ).

fof(f2002,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n13,n15))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f2001]) ).

fof(f2003,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f259,f2002]) ).

fof(f2033,plain,
    ( sum(sum(n2,succ(n14)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f507,f1139]) ).

fof(f2034,plain,
    ( sum(sum(n2,n15),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f18,f2033]) ).

fof(f2035,plain,
    ( sum(n1,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f83,f2034]) ).

fof(f2036,plain,
    ( sum(n1,sum(pred(n14),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f507,f2035]) ).

fof(f2037,plain,
    ( sum(n1,sum(n13,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f34,f2036]) ).

fof(f2038,plain,
    ( sum(n1,n1) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f248,f2037]) ).

fof(f2039,plain,
    ( n2 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f53,f2038]) ).

fof(f2040,plain,
    ( n2 != sum(n6,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f507,f2039]) ).

fof(f2041,plain,
    ( n2 != sum(n6,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f34,f2040]) ).

fof(f2042,plain,
    ( n2 != sum(n6,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f507,f2041]) ).

fof(f2043,plain,
    ( n2 != sum(n6,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f18,f2042]) ).

fof(f2044,plain,
    ( n2 != sum(n6,n12)
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f259,f2043]) ).

fof(f2045,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2044,f144]) ).

fof(f2046,plain,
    ( ~ spl0_30
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f2045]) ).

fof(f2047,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f510,f294]) ).

fof(f2048,plain,
    ( sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f2047]) ).

fof(f2049,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f2048]) ).

fof(f2050,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(n15),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f2049]) ).

fof(f2051,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f2050]) ).

fof(f2052,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n15),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f2051]) ).

fof(f2053,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f2052]) ).

fof(f2054,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,n0))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f2053]) ).

fof(f2055,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f2054]) ).

fof(f2070,plain,
    ( sum(sum(n12,succ(n15)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f510,f1292]) ).

fof(f2071,plain,
    ( sum(sum(n12,n0),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f19,f2070]) ).

fof(f2072,plain,
    ( sum(n12,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f228,f2071]) ).

fof(f2073,plain,
    ( sum(n12,sum(pred(n15),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f510,f2072]) ).

fof(f2074,plain,
    ( sum(n12,sum(n14,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f35,f2073]) ).

fof(f2075,plain,
    ( sum(n12,n12) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f274,f2074]) ).

fof(f2076,plain,
    ( n8 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f240,f2075]) ).

fof(f2077,plain,
    ( n8 != sum(n10,sum(pred(n15),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f510,f2076]) ).

fof(f2078,plain,
    ( n8 != sum(n10,sum(n14,succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f35,f2077]) ).

fof(f2079,plain,
    ( n8 != sum(n10,sum(n14,succ(n15)))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f510,f2078]) ).

fof(f2080,plain,
    ( n8 != sum(n10,sum(n14,n0))
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f19,f2079]) ).

fof(f2081,plain,
    ( n8 != sum(n10,n14)
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f260,f2080]) ).

fof(f2082,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2081,f210]) ).

fof(f2083,plain,
    ( ~ spl0_31
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f2082]) ).

fof(f2084,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f501,f294]) ).

fof(f2085,plain,
    ( sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f2084]) ).

fof(f2086,plain,
    ( sum(sum(pred(sk0_0),n13),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f2085]) ).

fof(f2087,plain,
    ( sum(sum(pred(sk0_0),n13),sum(pred(n12),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f2086]) ).

fof(f2088,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f2087]) ).

fof(f2089,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n12),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f2088]) ).

fof(f2090,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n11,succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f2089]) ).

fof(f2091,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n11,n13))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f2090]) ).

fof(f2092,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f225,f2091]) ).

fof(f2122,plain,
    ( sum(sum(n2,succ(n12)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f501,f1039]) ).

fof(f2123,plain,
    ( sum(sum(n2,n13),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f16,f2122]) ).

fof(f2124,plain,
    ( sum(n15,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f81,f2123]) ).

fof(f2125,plain,
    ( sum(n15,sum(pred(n12),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f501,f2124]) ).

fof(f2126,plain,
    ( sum(n15,sum(n11,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f32,f2125]) ).

fof(f2127,plain,
    ( sum(n15,n15) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f216,f2126]) ).

fof(f2128,plain,
    ( n14 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f291,f2127]) ).

fof(f2129,plain,
    ( n14 != sum(n6,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f501,f2128]) ).

fof(f2130,plain,
    ( n14 != sum(n6,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f32,f2129]) ).

fof(f2131,plain,
    ( n14 != sum(n6,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f501,f2130]) ).

fof(f2132,plain,
    ( n14 != sum(n6,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f16,f2131]) ).

fof(f2133,plain,
    ( n14 != sum(n6,n8)
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f225,f2132]) ).

fof(f2134,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2133,f140]) ).

fof(f2135,plain,
    ( ~ spl0_28
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f2134]) ).

fof(f2136,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f504,f294]) ).

fof(f2137,plain,
    ( sum(sum(pred(sk0_0),succ(n13)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f504,f2136]) ).

fof(f2138,plain,
    ( sum(sum(pred(sk0_0),n14),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f17,f2137]) ).

fof(f2139,plain,
    ( sum(sum(pred(sk0_0),n14),sum(pred(n13),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f504,f2138]) ).

fof(f2140,plain,
    ( sum(sum(pred(sk0_0),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f33,f2139]) ).

fof(f2141,plain,
    ( sum(sum(pred(sk0_0),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n13),succ(n13)))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f504,f2140]) ).

fof(f2142,plain,
    ( sum(sum(pred(sk0_0),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n12,succ(n13)))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f33,f2141]) ).

fof(f2143,plain,
    ( sum(sum(pred(sk0_0),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n12,n14))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f17,f2142]) ).

fof(f2144,plain,
    ( sum(sum(pred(sk0_0),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f242,f2143]) ).

fof(f2174,plain,
    ( sum(sum(n12,succ(n13)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f504,f1089]) ).

fof(f2175,plain,
    ( sum(sum(n12,n14),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f2174]) ).

fof(f2176,plain,
    ( sum(n10,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f2175]) ).

fof(f2177,plain,
    ( sum(n10,sum(pred(n13),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f504,f2176]) ).

fof(f2178,plain,
    ( sum(n10,sum(n12,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f2177]) ).

fof(f2179,plain,
    ( sum(n10,n10) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f2178]) ).

fof(f2180,plain,
    ( n4 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f206,f2179]) ).

fof(f2181,plain,
    ( n4 != sum(n10,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f504,f2180]) ).

fof(f2182,plain,
    ( n4 != sum(n10,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f33,f2181]) ).

fof(f2183,plain,
    ( n4 != sum(n10,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f504,f2182]) ).

fof(f2184,plain,
    ( n4 != sum(n10,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f17,f2183]) ).

fof(f2185,plain,
    ( n4 != sum(n10,n10)
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f242,f2184]) ).

fof(f2186,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2185,f206]) ).

fof(f2187,plain,
    ( ~ spl0_29
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f2186]) ).

fof(f2212,plain,
    ( sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f294]) ).

fof(f2213,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f2212]) ).

fof(f2214,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f2213]) ).

fof(f2215,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f2214]) ).

fof(f2216,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n10),succ(sk0_1)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f2215]) ).

fof(f2217,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(sk0_1)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f2216]) ).

fof(f2218,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f2217]) ).

fof(f2219,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,n11))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f2218]) ).

fof(f2220,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f2219]) ).

fof(f2222,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f425,f2220]) ).

fof(f2223,plain,
    ( sum(sum(pred(n3),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f425,f2222]) ).

fof(f2224,plain,
    ( sum(sum(n2,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f23,f2223]) ).

fof(f2225,plain,
    ( sum(n13,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f79,f2224]) ).

fof(f2226,plain,
    ( sum(n13,sum(n9,succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f425,f2225]) ).

fof(f2227,plain,
    ( sum(n13,sum(n9,n4)) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f7,f2226]) ).

fof(f2228,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f184,f2227]) ).

fof(f2229,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f257,f2228]) ).

fof(f2230,plain,
    ( n10 != sum(sum(pred(n3),succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f425,f2229]) ).

fof(f2231,plain,
    ( n10 != sum(sum(n2,succ(n3)),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f23,f2230]) ).

fof(f2232,plain,
    ( n10 != sum(sum(n2,n4),n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f7,f2231]) ).

fof(f2233,plain,
    ( n10 != sum(n6,n4)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f72,f2232]) ).

fof(f2234,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2233,f136]) ).

fof(f2235,plain,
    ( ~ spl0_3
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f2234]) ).

fof(f2236,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f498,f294]) ).

fof(f2237,plain,
    ( sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f498,f2236]) ).

fof(f2238,plain,
    ( sum(sum(pred(sk0_0),n12),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f15,f2237]) ).

fof(f2239,plain,
    ( sum(sum(pred(sk0_0),n12),sum(pred(n11),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f498,f2238]) ).

fof(f2240,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f31,f2239]) ).

fof(f2241,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n11),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f498,f2240]) ).

fof(f2242,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f31,f2241]) ).

fof(f2243,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,n12))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f15,f2242]) ).

fof(f2244,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f208,f2243]) ).

fof(f2274,plain,
    ( sum(sum(n12,succ(n11)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f498,f1394]) ).

fof(f2275,plain,
    ( sum(sum(n12,n12),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f15,f2274]) ).

fof(f2276,plain,
    ( sum(n8,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f240,f2275]) ).

fof(f2277,plain,
    ( sum(n8,sum(pred(n11),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f498,f2276]) ).

fof(f2278,plain,
    ( sum(n8,sum(n10,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f31,f2277]) ).

fof(f2279,plain,
    ( sum(n8,n8) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f210,f2278]) ).

fof(f2280,plain,
    ( n0 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f172,f2279]) ).

fof(f2281,plain,
    ( n0 != sum(n10,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f498,f2280]) ).

fof(f2282,plain,
    ( n0 != sum(n10,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f31,f2281]) ).

fof(f2283,plain,
    ( n0 != sum(n10,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f498,f2282]) ).

fof(f2284,plain,
    ( n0 != sum(n10,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f15,f2283]) ).

fof(f2285,plain,
    ( n0 != sum(n10,n6)
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f208,f2284]) ).

fof(f2286,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2285,f202]) ).

fof(f2287,plain,
    ( ~ spl0_27
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f2286]) ).

fof(f2288,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f2289,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f2288]) ).

fof(f2290,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f2289]) ).

fof(f2291,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f2290]) ).

fof(f2292,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f2291]) ).

fof(f2293,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f2292]) ).

fof(f2294,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f2293]) ).

fof(f2295,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f2294]) ).

fof(f2296,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f2295]) ).

fof(f2325,plain,
    ( sum(sum(n8,succ(n9)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f492,f704]) ).

fof(f2326,plain,
    ( sum(sum(n8,n10),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f2325]) ).

fof(f2327,plain,
    ( sum(n2,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f2326]) ).

fof(f2328,plain,
    ( sum(n2,sum(pred(n9),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f492,f2327]) ).

fof(f2329,plain,
    ( sum(n2,sum(n8,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f2328]) ).

fof(f2330,plain,
    ( sum(n2,n2) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f2329]) ).

fof(f2331,plain,
    ( n4 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f70,f2330]) ).

fof(f2332,plain,
    ( n4 != sum(n2,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f492,f2331]) ).

fof(f2333,plain,
    ( n4 != sum(n2,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f2332]) ).

fof(f2334,plain,
    ( n4 != sum(n2,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f492,f2333]) ).

fof(f2335,plain,
    ( n4 != sum(n2,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f2334]) ).

fof(f2336,plain,
    ( n4 != sum(n2,n2)
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f2335]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2336,f70]) ).

fof(f2338,plain,
    ( ~ spl0_25
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f2337]) ).

fof(f2339,plain,
    ( sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f294]) ).

fof(f2340,plain,
    ( sum(sum(pred(sk0_0),n10),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f13,f2339]) ).

fof(f2341,plain,
    ( sum(sum(pred(sk0_0),n10),sum(pred(n9),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f2340]) ).

fof(f2342,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f2341]) ).

fof(f2343,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f2342]) ).

fof(f2344,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,succ(sk0_1)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f2343]) ).

fof(f2345,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,succ(n9)))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f492,f2344]) ).

fof(f2346,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,n10))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f13,f2345]) ).

fof(f2347,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f174,f2346]) ).

fof(f2362,plain,
    ( sum(sum(pred(n10),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f446,f856]) ).

fof(f2363,plain,
    ( sum(sum(n9,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f30,f2362]) ).

fof(f2364,plain,
    ( sum(n3,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f190,f2363]) ).

fof(f2365,plain,
    ( sum(n3,sum(n8,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f446,f2364]) ).

fof(f2366,plain,
    ( sum(n3,sum(n8,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f14,f2365]) ).

fof(f2367,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f175,f2366]) ).

fof(f2368,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f87,f2367]) ).

fof(f2369,plain,
    ( n6 != sum(sum(pred(n10),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f446,f2368]) ).

fof(f2370,plain,
    ( n6 != sum(sum(n9,succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f30,f2369]) ).

fof(f2371,plain,
    ( n6 != sum(sum(n9,succ(n10)),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f446,f2370]) ).

fof(f2372,plain,
    ( n6 != sum(sum(n9,n11),n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f14,f2371]) ).

fof(f2373,plain,
    ( n6 != sum(n4,n2)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f191,f2372]) ).

fof(f2374,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2373,f102]) ).

fof(f2375,plain,
    ( ~ spl0_10
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f2374]) ).

fof(f2390,plain,
    ( sum(sum(pred(n6),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f434,f1548]) ).

fof(f2391,plain,
    ( sum(sum(n5,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f26,f2390]) ).

fof(f2392,plain,
    ( sum(n15,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f126,f2391]) ).

fof(f2393,plain,
    ( sum(n15,sum(n8,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f434,f2392]) ).

fof(f2394,plain,
    ( sum(n15,sum(n8,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f10,f2393]) ).

fof(f2395,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f171,f2394]) ).

fof(f2396,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f291,f2395]) ).

fof(f2397,plain,
    ( n14 != sum(sum(pred(n6),succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f434,f2396]) ).

fof(f2398,plain,
    ( n14 != sum(sum(n5,succ(sk0_0)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f26,f2397]) ).

fof(f2399,plain,
    ( n14 != sum(sum(n5,succ(n6)),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f434,f2398]) ).

fof(f2400,plain,
    ( n14 != sum(sum(n5,n7),n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f10,f2399]) ).

fof(f2401,plain,
    ( n14 != sum(n12,n2)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f123,f2400]) ).

fof(f2402,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2401,f230]) ).

fof(f2403,plain,
    ( ~ spl0_6
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f2402]) ).

fof(f2404,plain,
    ( sum(sum(n4,succ(n9)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f492,f685]) ).

fof(f2405,plain,
    ( sum(sum(n4,n10),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f13,f2404]) ).

fof(f2406,plain,
    ( sum(n14,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f110,f2405]) ).

fof(f2407,plain,
    ( sum(n14,sum(pred(n9),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f492,f2406]) ).

fof(f2408,plain,
    ( sum(n14,sum(n8,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f29,f2407]) ).

fof(f2409,plain,
    ( sum(n14,n14) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f170,f2408]) ).

fof(f2410,plain,
    ( n12 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f274,f2409]) ).

fof(f2411,plain,
    ( n12 != sum(n10,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f492,f2410]) ).

fof(f2412,plain,
    ( n12 != sum(n10,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f29,f2411]) ).

fof(f2413,plain,
    ( n12 != sum(n10,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f492,f2412]) ).

fof(f2414,plain,
    ( n12 != sum(n10,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f13,f2413]) ).

fof(f2415,plain,
    ( n12 != sum(n10,n2)
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f174,f2414]) ).

fof(f2416,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2415,f198]) ).

fof(f2417,plain,
    ( ~ spl0_25
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f2416]) ).

fof(f2423,plain,
    ( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f416,f2347]) ).

fof(f2424,plain,
    ( sum(sum(pred(n0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f416,f2423]) ).

fof(f2425,plain,
    ( sum(sum(n15,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f20,f2424]) ).

fof(f2426,plain,
    ( sum(n9,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f286,f2425]) ).

fof(f2427,plain,
    ( sum(n9,sum(n8,succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f416,f2426]) ).

fof(f2428,plain,
    ( sum(n9,sum(n8,n1)) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f4,f2427]) ).

fof(f2429,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f165,f2428]) ).

fof(f2430,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f189,f2429]) ).

fof(f2431,plain,
    ( n2 != sum(sum(pred(n0),succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f416,f2430]) ).

fof(f2432,plain,
    ( n2 != sum(sum(n15,succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f20,f2431]) ).

fof(f2433,plain,
    ( n2 != sum(sum(n15,n1),n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f4,f2432]) ).

fof(f2434,plain,
    ( n2 != sum(n0,n2)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f277,f2433]) ).

fof(f2435,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2434,f38]) ).

fof(f2436,plain,
    ( ~ spl0_0
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f2435]) ).

fof(f2437,plain,
    ( sum(sum(n12,succ(n9)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f492,f1001]) ).

fof(f2438,plain,
    ( sum(sum(n12,n10),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f13,f2437]) ).

fof(f2439,plain,
    ( sum(n6,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f238,f2438]) ).

fof(f2440,plain,
    ( sum(n6,sum(pred(n9),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f492,f2439]) ).

fof(f2441,plain,
    ( sum(n6,sum(n8,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f29,f2440]) ).

fof(f2442,plain,
    ( sum(n6,n6) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f178,f2441]) ).

fof(f2443,plain,
    ( n12 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f138,f2442]) ).

fof(f2444,plain,
    ( n12 != sum(n10,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f492,f2443]) ).

fof(f2445,plain,
    ( n12 != sum(n10,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f29,f2444]) ).

fof(f2446,plain,
    ( n12 != sum(n10,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f492,f2445]) ).

fof(f2447,plain,
    ( n12 != sum(n10,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f13,f2446]) ).

fof(f2448,plain,
    ( n12 != sum(n10,n2)
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f174,f2447]) ).

fof(f2449,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2448,f198]) ).

fof(f2450,plain,
    ( ~ spl0_25
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f2449]) ).

fof(f2451,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f489,f294]) ).

fof(f2452,plain,
    ( sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f489,f2451]) ).

fof(f2453,plain,
    ( sum(sum(pred(sk0_0),n9),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f12,f2452]) ).

fof(f2454,plain,
    ( sum(sum(pred(sk0_0),n9),sum(pred(n8),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f489,f2453]) ).

fof(f2455,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f28,f2454]) ).

fof(f2456,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n8),succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f489,f2455]) ).

fof(f2457,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,succ(n8)))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f28,f2456]) ).

fof(f2458,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,n9))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f12,f2457]) ).

fof(f2459,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f157,f2458]) ).

fof(f2488,plain,
    ( sum(sum(pred(n1),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f419,f1655]) ).

fof(f2489,plain,
    ( sum(sum(n0,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f21,f2488]) ).

fof(f2490,plain,
    ( sum(n9,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f45,f2489]) ).

fof(f2491,plain,
    ( sum(n9,sum(n7,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f419,f2490]) ).

fof(f2492,plain,
    ( sum(n9,sum(n7,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f5,f2491]) ).

fof(f2493,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f150,f2492]) ).

fof(f2494,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f189,f2493]) ).

fof(f2495,plain,
    ( n2 != sum(sum(pred(n1),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f419,f2494]) ).

fof(f2496,plain,
    ( n2 != sum(sum(n0,succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f21,f2495]) ).

fof(f2497,plain,
    ( n2 != sum(sum(n0,succ(n1)),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f419,f2496]) ).

fof(f2498,plain,
    ( n2 != sum(sum(n0,n2),n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f5,f2497]) ).

fof(f2499,plain,
    ( n2 != sum(n2,n0)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f38,f2498]) ).

fof(f2500,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2499,f68]) ).

fof(f2501,plain,
    ( ~ spl0_1
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f2500]) ).

fof(f2502,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f437,f294]) ).

fof(f2503,plain,
    ( sum(sum(pred(n7),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f437,f2502]) ).

fof(f2504,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f27,f2503]) ).

fof(f2505,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f437,f2504]) ).

fof(f2506,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f11,f2505]) ).

fof(f2507,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f437,f2506]) ).

fof(f2508,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f27,f2507]) ).

fof(f2509,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,n8),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f11,f2508]) ).

fof(f2510,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f140,f2509]) ).

fof(f2539,plain,
    ( sum(sum(pred(n7),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f437,f602]) ).

fof(f2540,plain,
    ( sum(sum(n6,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f27,f2539]) ).

fof(f2541,plain,
    ( sum(n12,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f138,f2540]) ).

fof(f2542,plain,
    ( sum(n12,sum(n4,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f437,f2541]) ).

fof(f2543,plain,
    ( sum(n12,sum(n4,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f11,f2542]) ).

fof(f2544,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f108,f2543]) ).

fof(f2545,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f240,f2544]) ).

fof(f2546,plain,
    ( n8 != sum(sum(pred(n7),succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f437,f2545]) ).

fof(f2547,plain,
    ( n8 != sum(sum(n6,succ(sk0_0)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f27,f2546]) ).

fof(f2548,plain,
    ( n8 != sum(sum(n6,succ(n7)),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f437,f2547]) ).

fof(f2549,plain,
    ( n8 != sum(sum(n6,n8),n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f11,f2548]) ).

fof(f2550,plain,
    ( n8 != sum(n14,n10)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f140,f2549]) ).

fof(f2551,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2550,f270]) ).

fof(f2552,plain,
    ( ~ spl0_7
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f2551]) ).

fof(f2565,plain,
    ( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f294]) ).

fof(f2566,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f2565]) ).

fof(f2567,plain,
    ( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f2566]) ).

fof(f2568,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f2567]) ).

fof(f2569,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f2568]) ).

fof(f2570,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(sk0_1)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f2569]) ).

fof(f2571,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f480,f2570]) ).

fof(f2572,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f9,f2571]) ).

fof(f2573,plain,
    ( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f106,f2572]) ).

fof(f2588,plain,
    ( sum(sum(pred(n11),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f449,f1692]) ).

fof(f2589,plain,
    ( sum(sum(n10,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f31,f2588]) ).

fof(f2590,plain,
    ( sum(n0,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f202,f2589]) ).

fof(f2591,plain,
    ( sum(n0,sum(n4,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f449,f2590]) ).

fof(f2592,plain,
    ( sum(n0,sum(n4,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f15,f2591]) ).

fof(f2593,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f112,f2592]) ).

fof(f2594,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f36,f2593]) ).

fof(f2595,plain,
    ( n0 != sum(sum(pred(n11),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f449,f2594]) ).

fof(f2596,plain,
    ( n0 != sum(sum(n10,succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f31,f2595]) ).

fof(f2597,plain,
    ( n0 != sum(sum(n10,succ(n11)),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f449,f2596]) ).

fof(f2598,plain,
    ( n0 != sum(sum(n10,n12),n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f15,f2597]) ).

fof(f2599,plain,
    ( n0 != sum(n6,n10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f208,f2598]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2599,f142]) ).

fof(f2601,plain,
    ( ~ spl0_11
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f2600]) ).

fof(f2602,plain,
    ( sum(sum(n8,succ(n5)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f480,f2296]) ).

fof(f2603,plain,
    ( sum(sum(n8,n6),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f9,f2602]) ).

fof(f2604,plain,
    ( sum(n14,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f170,f2603]) ).

fof(f2605,plain,
    ( sum(n14,sum(pred(n5),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f480,f2604]) ).

fof(f2606,plain,
    ( sum(n14,sum(n4,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f25,f2605]) ).

fof(f2607,plain,
    ( sum(n14,n14) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f110,f2606]) ).

fof(f2608,plain,
    ( n12 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f274,f2607]) ).

fof(f2609,plain,
    ( n12 != sum(n2,sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f480,f2608]) ).

fof(f2610,plain,
    ( n12 != sum(n2,sum(n4,succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f25,f2609]) ).

fof(f2611,plain,
    ( n12 != sum(n2,sum(n4,succ(n5)))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f480,f2610]) ).

fof(f2612,plain,
    ( n12 != sum(n2,sum(n4,n6))
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f9,f2611]) ).

fof(f2613,plain,
    ( n12 != sum(n2,n10)
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f106,f2612]) ).

fof(f2614,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2613,f78]) ).

fof(f2615,plain,
    ( ~ spl0_21
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f2614]) ).

fof(f2616,plain,
    ( sum(sum(n7,succ(n5)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f480,f808]) ).

fof(f2617,plain,
    ( sum(sum(n7,n6),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f9,f2616]) ).

fof(f2618,plain,
    ( sum(n13,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f154,f2617]) ).

fof(f2619,plain,
    ( sum(n13,sum(pred(n5),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f480,f2618]) ).

fof(f2620,plain,
    ( sum(n13,sum(n4,n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f25,f2619]) ).

fof(f2621,plain,
    ( sum(n13,n13) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f109,f2620]) ).

fof(f2622,plain,
    ( n10 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f257,f2621]) ).

fof(f2623,plain,
    ( n10 != sum(n0,sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f480,f2622]) ).

fof(f2624,plain,
    ( n10 != sum(n0,sum(n4,succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f25,f2623]) ).

fof(f2625,plain,
    ( n10 != sum(n0,sum(n4,succ(n5)))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f480,f2624]) ).

fof(f2626,plain,
    ( n10 != sum(n0,sum(n4,n6))
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f9,f2625]) ).

fof(f2627,plain,
    ( n10 != sum(n0,n10)
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f106,f2626]) ).

fof(f2628,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2627,f46]) ).

fof(f2629,plain,
    ( ~ spl0_21
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f2628]) ).

fof(f2630,plain,
    ( sum(sum(n11,succ(n5)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f480,f765]) ).

fof(f2631,plain,
    ( sum(sum(n11,n6),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f9,f2630]) ).

fof(f2632,plain,
    ( sum(n1,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f218,f2631]) ).

fof(f2633,plain,
    ( sum(n1,sum(pred(n5),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f480,f2632]) ).

fof(f2634,plain,
    ( sum(n1,sum(n4,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f25,f2633]) ).

fof(f2635,plain,
    ( sum(n1,n1) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f113,f2634]) ).

fof(f2636,plain,
    ( n2 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f53,f2635]) ).

fof(f2637,plain,
    ( n2 != sum(n8,sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f480,f2636]) ).

fof(f2638,plain,
    ( n2 != sum(n8,sum(n4,succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f25,f2637]) ).

fof(f2639,plain,
    ( n2 != sum(n8,sum(n4,succ(n5)))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f480,f2638]) ).

fof(f2640,plain,
    ( n2 != sum(n8,sum(n4,n6))
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f9,f2639]) ).

fof(f2641,plain,
    ( n2 != sum(n8,n10)
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f106,f2640]) ).

fof(f2642,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2641,f174]) ).

fof(f2643,plain,
    ( ~ spl0_21
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f2642]) ).

fof(f2658,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f465,f294]) ).

fof(f2659,plain,
    ( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f2658]) ).

fof(f2660,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f2659]) ).

fof(f2661,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f2660]) ).

fof(f2662,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f2661]) ).

fof(f2663,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f2662]) ).

fof(f2664,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f2663]) ).

fof(f2665,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,n1))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f2664]) ).

fof(f2666,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f2665]) ).

fof(f2695,plain,
    ( sum(sum(n2,succ(n0)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f465,f1241]) ).

fof(f2696,plain,
    ( sum(sum(n2,n1),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f4,f2695]) ).

fof(f2697,plain,
    ( sum(n3,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f69,f2696]) ).

fof(f2698,plain,
    ( sum(n3,sum(pred(n0),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f465,f2697]) ).

fof(f2699,plain,
    ( sum(n3,sum(n15,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f20,f2698]) ).

fof(f2700,plain,
    ( sum(n3,n3) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f280,f2699]) ).

fof(f2701,plain,
    ( n6 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f87,f2700]) ).

fof(f2702,plain,
    ( n6 != sum(n6,sum(pred(n0),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f465,f2701]) ).

fof(f2703,plain,
    ( n6 != sum(n6,sum(n15,succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f20,f2702]) ).

fof(f2704,plain,
    ( n6 != sum(n6,sum(n15,succ(n0)))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f465,f2703]) ).

fof(f2705,plain,
    ( n6 != sum(n6,sum(n15,n1))
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f4,f2704]) ).

fof(f2706,plain,
    ( n6 != sum(n6,n0)
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f277,f2705]) ).

fof(f2707,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2706,f132]) ).

fof(f2708,plain,
    ( ~ spl0_16
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f2707]) ).

fof(f2709,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f458,f294]) ).

fof(f2710,plain,
    ( sum(sum(pred(n14),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f2709]) ).

fof(f2711,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f34,f2710]) ).

fof(f2712,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),succ(n14))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f2711]) ).

fof(f2713,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f2712]) ).

fof(f2714,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(pred(n14),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f2713]) ).

fof(f2715,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(n13,succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f34,f2714]) ).

fof(f2716,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(n13,n15),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f2715]) ).

fof(f2717,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f259,f2716]) ).

fof(f2747,plain,
    ( sum(sum(n13,succ(n5)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f480,f625]) ).

fof(f2748,plain,
    ( sum(sum(n13,n6),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f9,f2747]) ).

fof(f2749,plain,
    ( sum(n3,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f250,f2748]) ).

fof(f2750,plain,
    ( sum(n3,sum(pred(n5),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f480,f2749]) ).

fof(f2751,plain,
    ( sum(n3,sum(n4,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f25,f2750]) ).

fof(f2752,plain,
    ( sum(n3,n3) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f115,f2751]) ).

fof(f2753,plain,
    ( n6 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f87,f2752]) ).

fof(f2754,plain,
    ( n6 != sum(n12,sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f480,f2753]) ).

fof(f2755,plain,
    ( n6 != sum(n12,sum(n4,succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f25,f2754]) ).

fof(f2756,plain,
    ( n6 != sum(n12,sum(n4,succ(n5)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f480,f2755]) ).

fof(f2757,plain,
    ( n6 != sum(n12,sum(n4,n6))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f9,f2756]) ).

fof(f2758,plain,
    ( n6 != sum(n12,n10)
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f106,f2757]) ).

fof(f2759,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2758,f238]) ).

fof(f2760,plain,
    ( ~ spl0_21
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2759]) ).

fof(f2799,plain,
    ( sum(sum(n2,succ(n4)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f477,f952]) ).

fof(f2800,plain,
    ( sum(sum(n2,n5),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f8,f2799]) ).

fof(f2801,plain,
    ( sum(n7,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f73,f2800]) ).

fof(f2802,plain,
    ( sum(n7,sum(pred(n4),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f477,f2801]) ).

fof(f2803,plain,
    ( sum(n7,sum(n3,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f24,f2802]) ).

fof(f2804,plain,
    ( sum(n7,n7) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f88,f2803]) ).

fof(f2805,plain,
    ( n14 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f155,f2804]) ).

fof(f2806,plain,
    ( n14 != sum(n6,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f477,f2805]) ).

fof(f2807,plain,
    ( n14 != sum(n6,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f24,f2806]) ).

fof(f2808,plain,
    ( n14 != sum(n6,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f477,f2807]) ).

fof(f2809,plain,
    ( n14 != sum(n6,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f8,f2808]) ).

fof(f2810,plain,
    ( n14 != sum(n6,n8)
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f89,f2809]) ).

fof(f2811,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2810,f140]) ).

fof(f2812,plain,
    ( ~ spl0_20
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f2811]) ).

fof(f2813,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f422,f294]) ).

fof(f2814,plain,
    ( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f2813]) ).

fof(f2815,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f2814]) ).

fof(f2816,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f2815]) ).

fof(f2817,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f2816]) ).

fof(f2818,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f2817]) ).

fof(f2819,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f2818]) ).

fof(f2820,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f2819]) ).

fof(f2821,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f2820]) ).

fof(f2852,plain,
    ( sum(sum(pred(n2),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f422,f1343]) ).

fof(f2853,plain,
    ( sum(sum(n1,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f22,f2852]) ).

fof(f2854,plain,
    ( sum(n7,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f58,f2853]) ).

fof(f2855,plain,
    ( sum(n7,sum(n4,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f422,f2854]) ).

fof(f2856,plain,
    ( sum(n7,sum(n4,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f6,f2855]) ).

fof(f2857,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f103,f2856]) ).

fof(f2858,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f155,f2857]) ).

fof(f2859,plain,
    ( n14 != sum(sum(pred(n2),succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f422,f2858]) ).

fof(f2860,plain,
    ( n14 != sum(sum(n1,succ(sk0_0)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f22,f2859]) ).

fof(f2861,plain,
    ( n14 != sum(sum(n1,succ(n2)),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f422,f2860]) ).

fof(f2862,plain,
    ( n14 != sum(sum(n1,n3),n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f6,f2861]) ).

fof(f2863,plain,
    ( n14 != sum(n4,n10)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f55,f2862]) ).

fof(f2864,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2863,f110]) ).

fof(f2865,plain,
    ( ~ spl0_2
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f2864]) ).

fof(f2866,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f483,f294]) ).

fof(f2867,plain,
    ( sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f2866]) ).

fof(f2868,plain,
    ( sum(sum(pred(sk0_0),n7),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f10,f2867]) ).

fof(f2869,plain,
    ( sum(sum(pred(sk0_0),n7),sum(pred(n6),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f2868]) ).

fof(f2870,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f2869]) ).

fof(f2871,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n6),succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f2870]) ).

fof(f2872,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f2871]) ).

fof(f2873,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,n7))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f10,f2872]) ).

fof(f2874,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f123,f2873]) ).

fof(f2905,plain,
    ( sum(sum(pred(n3),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f425,f1497]) ).

fof(f2906,plain,
    ( sum(sum(n2,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f23,f2905]) ).

fof(f2907,plain,
    ( sum(n9,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f75,f2906]) ).

fof(f2908,plain,
    ( sum(n9,sum(n5,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f425,f2907]) ).

fof(f2909,plain,
    ( sum(n9,sum(n5,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f7,f2908]) ).

fof(f2910,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f120,f2909]) ).

fof(f2911,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f189,f2910]) ).

fof(f2912,plain,
    ( n2 != sum(sum(pred(n3),succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f425,f2911]) ).

fof(f2913,plain,
    ( n2 != sum(sum(n2,succ(sk0_0)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f23,f2912]) ).

fof(f2914,plain,
    ( n2 != sum(sum(n2,succ(n3)),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f425,f2913]) ).

fof(f2915,plain,
    ( n2 != sum(sum(n2,n4),n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f7,f2914]) ).

fof(f2916,plain,
    ( n2 != sum(n6,n12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f72,f2915]) ).

fof(f2917,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2916,f144]) ).

fof(f2918,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f2917]) ).

fof(f2919,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f498,f294]) ).

fof(f2920,plain,
    ( sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f498,f2919]) ).

fof(f2921,plain,
    ( sum(sum(pred(sk0_0),n12),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f15,f2920]) ).

fof(f2922,plain,
    ( sum(sum(pred(sk0_0),n12),sum(pred(n11),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f498,f2921]) ).

fof(f2923,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f31,f2922]) ).

fof(f2924,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n11),succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f498,f2923]) ).

fof(f2925,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,succ(n11)))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f31,f2924]) ).

fof(f2926,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,n12))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f15,f2925]) ).

fof(f2927,plain,
    ( sum(sum(pred(sk0_0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f208,f2926]) ).

fof(f2942,plain,
    ( sum(sum(n0,succ(n11)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f498,f664]) ).

fof(f2943,plain,
    ( sum(sum(n0,n12),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f15,f2942]) ).

fof(f2944,plain,
    ( sum(n12,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f48,f2943]) ).

fof(f2945,plain,
    ( sum(n12,sum(pred(n11),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f498,f2944]) ).

fof(f2946,plain,
    ( sum(n12,sum(n10,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f31,f2945]) ).

fof(f2947,plain,
    ( sum(n12,n12) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f198,f2946]) ).

fof(f2948,plain,
    ( n8 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f240,f2947]) ).

fof(f2949,plain,
    ( n8 != sum(n2,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f498,f2948]) ).

fof(f2950,plain,
    ( n8 != sum(n2,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f31,f2949]) ).

fof(f2951,plain,
    ( n8 != sum(n2,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f498,f2950]) ).

fof(f2952,plain,
    ( n8 != sum(n2,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f15,f2951]) ).

fof(f2953,plain,
    ( n8 != sum(n2,n6)
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f208,f2952]) ).

fof(f2954,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2953,f74]) ).

fof(f2955,plain,
    ( ~ spl0_27
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f2954]) ).

fof(f2994,plain,
    ( sum(sum(pred(n1),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f419,f2144]) ).

fof(f2995,plain,
    ( sum(sum(n0,n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f21,f2994]) ).

fof(f2996,plain,
    ( sum(n14,sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f50,f2995]) ).

fof(f2997,plain,
    ( sum(n14,sum(n12,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f419,f2996]) ).

fof(f2998,plain,
    ( sum(n14,sum(n12,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f5,f2997]) ).

fof(f2999,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f230,f2998]) ).

fof(f3000,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f274,f2999]) ).

fof(f3001,plain,
    ( n12 != sum(sum(pred(n1),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f419,f3000]) ).

fof(f3002,plain,
    ( n12 != sum(sum(n0,succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f21,f3001]) ).

fof(f3003,plain,
    ( n12 != sum(sum(n0,succ(n1)),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f419,f3002]) ).

fof(f3004,plain,
    ( n12 != sum(sum(n0,n2),n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f5,f3003]) ).

fof(f3005,plain,
    ( n12 != sum(n2,n10)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f38,f3004]) ).

fof(f3006,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3005,f78]) ).

fof(f3007,plain,
    ( ~ spl0_1
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f3006]) ).

fof(f3008,plain,
    ( sum(sum(pred(n1),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f419,f2055]) ).

fof(f3009,plain,
    ( sum(sum(n0,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f21,f3008]) ).

fof(f3010,plain,
    ( sum(n0,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f36,f3009]) ).

fof(f3011,plain,
    ( sum(n0,sum(n14,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f419,f3010]) ).

fof(f3012,plain,
    ( sum(n0,sum(n14,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f5,f3011]) ).

fof(f3013,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f262,f3012]) ).

fof(f3014,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f36,f3013]) ).

fof(f3015,plain,
    ( n0 != sum(sum(pred(n1),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f419,f3014]) ).

fof(f3016,plain,
    ( n0 != sum(sum(n0,succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f21,f3015]) ).

fof(f3017,plain,
    ( n0 != sum(sum(n0,succ(n1)),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f419,f3016]) ).

fof(f3018,plain,
    ( n0 != sum(sum(n0,n2),n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f5,f3017]) ).

fof(f3019,plain,
    ( n0 != sum(n2,n14)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f38,f3018]) ).

fof(f3020,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3019,f82]) ).

fof(f3021,plain,
    ( ~ spl0_1
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f3020]) ).

fof(f3022,plain,
    ( sum(sum(pred(n1),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f419,f1861]) ).

fof(f3023,plain,
    ( sum(sum(n0,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f21,f3022]) ).

fof(f3024,plain,
    ( sum(n8,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f44,f3023]) ).

fof(f3025,plain,
    ( sum(n8,sum(n6,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f419,f3024]) ).

fof(f3026,plain,
    ( sum(n8,sum(n6,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f5,f3025]) ).

fof(f3027,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f134,f3026]) ).

fof(f3028,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f172,f3027]) ).

fof(f3029,plain,
    ( n0 != sum(sum(pred(n1),succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f419,f3028]) ).

fof(f3030,plain,
    ( n0 != sum(sum(n0,succ(sk0_0)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f21,f3029]) ).

fof(f3031,plain,
    ( n0 != sum(sum(n0,succ(n1)),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f419,f3030]) ).

fof(f3032,plain,
    ( n0 != sum(sum(n0,n2),n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f5,f3031]) ).

fof(f3033,plain,
    ( n0 != sum(n2,n14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f38,f3032]) ).

fof(f3034,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3033,f82]) ).

fof(f3035,plain,
    ( ~ spl0_1
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f3034]) ).

fof(f3036,plain,
    ( sum(sum(pred(n1),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f419,f1951]) ).

fof(f3037,plain,
    ( sum(sum(n0,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f21,f3036]) ).

fof(f3038,plain,
    ( sum(n3,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f39,f3037]) ).

fof(f3039,plain,
    ( sum(n3,sum(n1,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f419,f3038]) ).

fof(f3040,plain,
    ( sum(n3,sum(n1,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f5,f3039]) ).

fof(f3041,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f54,f3040]) ).

fof(f3042,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f87,f3041]) ).

fof(f3043,plain,
    ( n6 != sum(sum(pred(n1),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f419,f3042]) ).

fof(f3044,plain,
    ( n6 != sum(sum(n0,succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f21,f3043]) ).

fof(f3045,plain,
    ( n6 != sum(sum(n0,succ(n1)),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f419,f3044]) ).

fof(f3046,plain,
    ( n6 != sum(sum(n0,n2),n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f5,f3045]) ).

fof(f3047,plain,
    ( n6 != sum(n2,n4)
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f38,f3046]) ).

fof(f3048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3047,f72]) ).

fof(f3049,plain,
    ( ~ spl0_1
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f3048]) ).

fof(f3050,plain,
    ( sum(sum(pred(n1),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f419,f1898]) ).

fof(f3051,plain,
    ( sum(sum(n0,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f21,f3050]) ).

fof(f3052,plain,
    ( sum(n4,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f40,f3051]) ).

fof(f3053,plain,
    ( sum(n4,sum(n2,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f419,f3052]) ).

fof(f3054,plain,
    ( sum(n4,sum(n2,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f5,f3053]) ).

fof(f3055,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f70,f3054]) ).

fof(f3056,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f104,f3055]) ).

fof(f3057,plain,
    ( n8 != sum(sum(pred(n1),succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f419,f3056]) ).

fof(f3058,plain,
    ( n8 != sum(sum(n0,succ(sk0_0)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f21,f3057]) ).

fof(f3059,plain,
    ( n8 != sum(sum(n0,succ(n1)),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f419,f3058]) ).

fof(f3060,plain,
    ( n8 != sum(sum(n0,n2),n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f5,f3059]) ).

fof(f3061,plain,
    ( n8 != sum(n2,n6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f38,f3060]) ).

fof(f3062,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3061,f74]) ).

fof(f3063,plain,
    ( ~ spl0_1
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f3062]) ).

fof(f3064,plain,
    ( sum(sum(pred(n1),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f419,f602]) ).

fof(f3065,plain,
    ( sum(sum(n0,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f21,f3064]) ).

fof(f3066,plain,
    ( sum(n6,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f42,f3065]) ).

fof(f3067,plain,
    ( sum(n6,sum(n4,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f419,f3066]) ).

fof(f3068,plain,
    ( sum(n6,sum(n4,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f5,f3067]) ).

fof(f3069,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f102,f3068]) ).

fof(f3070,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f138,f3069]) ).

fof(f3071,plain,
    ( n12 != sum(sum(pred(n1),succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f419,f3070]) ).

fof(f3072,plain,
    ( n12 != sum(sum(n0,succ(sk0_0)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f21,f3071]) ).

fof(f3073,plain,
    ( n12 != sum(sum(n0,succ(n1)),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f419,f3072]) ).

fof(f3074,plain,
    ( n12 != sum(sum(n0,n2),n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f5,f3073]) ).

fof(f3075,plain,
    ( n12 != sum(n2,n10)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f38,f3074]) ).

fof(f3076,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3075,f78]) ).

fof(f3077,plain,
    ( ~ spl0_1
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f3076]) ).

fof(f3091,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f416,f294]) ).

fof(f3092,plain,
    ( sum(sum(pred(n0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f416,f3091]) ).

fof(f3093,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f20,f3092]) ).

fof(f3094,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f416,f3093]) ).

fof(f3095,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f4,f3094]) ).

fof(f3096,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f416,f3095]) ).

fof(f3097,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n15,succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f20,f3096]) ).

fof(f3098,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n15,n1),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f4,f3097]) ).

fof(f3099,plain,
    ( sum(sum(n15,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f277,f3098]) ).

fof(f3129,plain,
    ( sum(sum(pred(n0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f416,f2459]) ).

fof(f3130,plain,
    ( sum(sum(n15,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f20,f3129]) ).

fof(f3131,plain,
    ( sum(n8,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f285,f3130]) ).

fof(f3132,plain,
    ( sum(n8,sum(n7,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f416,f3131]) ).

fof(f3133,plain,
    ( sum(n8,sum(n7,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f4,f3132]) ).

fof(f3134,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f149,f3133]) ).

fof(f3135,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f172,f3134]) ).

fof(f3136,plain,
    ( n0 != sum(sum(pred(n0),succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f416,f3135]) ).

fof(f3137,plain,
    ( n0 != sum(sum(n15,succ(sk0_0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f20,f3136]) ).

fof(f3138,plain,
    ( n0 != sum(sum(n15,succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f416,f3137]) ).

fof(f3139,plain,
    ( n0 != sum(sum(n15,n1),n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f4,f3138]) ).

fof(f3140,plain,
    ( n0 != sum(n0,n0)
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f277,f3139]) ).

fof(f3141,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3140,f36]) ).

fof(f3142,plain,
    ( ~ spl0_0
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f3141]) ).

fof(f3152,plain,
    ( sum(sum(n6,succ(n8)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f489,f2510]) ).

fof(f3153,plain,
    ( sum(sum(n6,n9),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f12,f3152]) ).

fof(f3154,plain,
    ( sum(n15,sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f141,f3153]) ).

fof(f3155,plain,
    ( sum(n15,sum(pred(n8),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f489,f3154]) ).

fof(f3156,plain,
    ( sum(n15,sum(n7,n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f28,f3155]) ).

fof(f3157,plain,
    ( sum(n15,n15) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f156,f3156]) ).

fof(f3158,plain,
    ( n14 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f291,f3157]) ).

fof(f3159,plain,
    ( n14 != sum(n14,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f489,f3158]) ).

fof(f3160,plain,
    ( n14 != sum(n14,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f28,f3159]) ).

fof(f3161,plain,
    ( n14 != sum(n14,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f489,f3160]) ).

fof(f3162,plain,
    ( n14 != sum(n14,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f12,f3161]) ).

fof(f3163,plain,
    ( n14 != sum(n14,n0)
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f157,f3162]) ).

fof(f3164,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3163,f260]) ).

fof(f3165,plain,
    ( ~ spl0_24
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f3164]) ).

fof(f3166,plain,
    ( sum(sum(n4,succ(n8)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f489,f685]) ).

fof(f3167,plain,
    ( sum(sum(n4,n9),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f12,f3166]) ).

fof(f3168,plain,
    ( sum(n13,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f109,f3167]) ).

fof(f3169,plain,
    ( sum(n13,sum(pred(n8),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f489,f3168]) ).

fof(f3170,plain,
    ( sum(n13,sum(n7,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f28,f3169]) ).

fof(f3171,plain,
    ( sum(n13,n13) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f154,f3170]) ).

fof(f3172,plain,
    ( n10 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f257,f3171]) ).

fof(f3173,plain,
    ( n10 != sum(n10,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f489,f3172]) ).

fof(f3174,plain,
    ( n10 != sum(n10,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f28,f3173]) ).

fof(f3175,plain,
    ( n10 != sum(n10,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f489,f3174]) ).

fof(f3176,plain,
    ( n10 != sum(n10,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f12,f3175]) ).

fof(f3177,plain,
    ( n10 != sum(n10,n0)
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f157,f3176]) ).

fof(f3178,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3177,f196]) ).

fof(f3179,plain,
    ( ~ spl0_24
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f3178]) ).

fof(f3180,plain,
    ( sum(sum(n3,succ(n8)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f489,f832]) ).

fof(f3181,plain,
    ( sum(sum(n3,n9),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f12,f3180]) ).

fof(f3182,plain,
    ( sum(n12,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f93,f3181]) ).

fof(f3183,plain,
    ( sum(n12,sum(pred(n8),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f489,f3182]) ).

fof(f3184,plain,
    ( sum(n12,sum(n7,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f28,f3183]) ).

fof(f3185,plain,
    ( sum(n12,n12) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f153,f3184]) ).

fof(f3186,plain,
    ( n8 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f240,f3185]) ).

fof(f3187,plain,
    ( n8 != sum(n8,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f489,f3186]) ).

fof(f3188,plain,
    ( n8 != sum(n8,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f28,f3187]) ).

fof(f3189,plain,
    ( n8 != sum(n8,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f489,f3188]) ).

fof(f3190,plain,
    ( n8 != sum(n8,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f12,f3189]) ).

fof(f3191,plain,
    ( n8 != sum(n8,n0)
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f157,f3190]) ).

fof(f3192,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3191,f164]) ).

fof(f3193,plain,
    ( ~ spl0_24
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f3192]) ).

fof(f3211,plain,
    ( sum(sum(pred(n11),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f449,f1655]) ).

fof(f3212,plain,
    ( sum(sum(n10,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f31,f3211]) ).

fof(f3213,plain,
    ( sum(n3,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f205,f3212]) ).

fof(f3214,plain,
    ( sum(n3,sum(n7,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f449,f3213]) ).

fof(f3215,plain,
    ( sum(n3,sum(n7,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f15,f3214]) ).

fof(f3216,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f160,f3215]) ).

fof(f3217,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f87,f3216]) ).

fof(f3218,plain,
    ( n6 != sum(sum(pred(n11),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f449,f3217]) ).

fof(f3219,plain,
    ( n6 != sum(sum(n10,succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f31,f3218]) ).

fof(f3220,plain,
    ( n6 != sum(sum(n10,succ(n11)),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f449,f3219]) ).

fof(f3221,plain,
    ( n6 != sum(sum(n10,n12),n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f15,f3220]) ).

fof(f3222,plain,
    ( n6 != sum(n6,n0)
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f208,f3221]) ).

fof(f3223,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3222,f132]) ).

fof(f3224,plain,
    ( ~ spl0_11
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f3223]) ).

fof(f3225,plain,
    ( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f446,f2459]) ).

fof(f3226,plain,
    ( sum(sum(pred(n10),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f446,f3225]) ).

fof(f3227,plain,
    ( sum(sum(n9,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f30,f3226]) ).

fof(f3228,plain,
    ( sum(n2,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f189,f3227]) ).

fof(f3229,plain,
    ( sum(n2,sum(n7,succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f446,f3228]) ).

fof(f3230,plain,
    ( sum(n2,sum(n7,n11)) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f14,f3229]) ).

fof(f3231,plain,
    ( sum(n2,n2) != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f159,f3230]) ).

fof(f3232,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f70,f3231]) ).

fof(f3233,plain,
    ( n4 != sum(sum(pred(n10),succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f446,f3232]) ).

fof(f3234,plain,
    ( n4 != sum(sum(n9,succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f30,f3233]) ).

fof(f3235,plain,
    ( n4 != sum(sum(n9,n11),n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f14,f3234]) ).

fof(f3236,plain,
    ( n4 != sum(n4,n0)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f191,f3235]) ).

fof(f3237,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3236,f100]) ).

fof(f3238,plain,
    ( ~ spl0_10
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f3237]) ).

fof(f3239,plain,
    ( sum(sum(n7,succ(n8)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f489,f808]) ).

fof(f3240,plain,
    ( sum(sum(n7,n9),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f12,f3239]) ).

fof(f3241,plain,
    ( sum(n0,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f157,f3240]) ).

fof(f3242,plain,
    ( sum(n0,sum(pred(n8),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f489,f3241]) ).

fof(f3243,plain,
    ( sum(n0,sum(n7,n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f3242]) ).

fof(f3244,plain,
    ( sum(n0,n0) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f157,f3243]) ).

fof(f3245,plain,
    ( n0 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f36,f3244]) ).

fof(f3246,plain,
    ( n0 != sum(n0,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f489,f3245]) ).

fof(f3247,plain,
    ( n0 != sum(n0,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f3246]) ).

fof(f3248,plain,
    ( n0 != sum(n0,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f489,f3247]) ).

fof(f3249,plain,
    ( n0 != sum(n0,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f12,f3248]) ).

fof(f3250,plain,
    ( n0 != sum(n0,n0)
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f157,f3249]) ).

fof(f3251,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3250,f36]) ).

fof(f3252,plain,
    ( ~ spl0_24
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f3251]) ).

fof(f3253,plain,
    ( sum(sum(n11,succ(n8)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f489,f765]) ).

fof(f3254,plain,
    ( sum(sum(n11,n9),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f12,f3253]) ).

fof(f3255,plain,
    ( sum(n4,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f221,f3254]) ).

fof(f3256,plain,
    ( sum(n4,sum(pred(n8),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f489,f3255]) ).

fof(f3257,plain,
    ( sum(n4,sum(n7,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f28,f3256]) ).

fof(f3258,plain,
    ( sum(n4,n4) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f161,f3257]) ).

fof(f3259,plain,
    ( n8 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f104,f3258]) ).

fof(f3260,plain,
    ( n8 != sum(n8,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f489,f3259]) ).

fof(f3261,plain,
    ( n8 != sum(n8,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f28,f3260]) ).

fof(f3262,plain,
    ( n8 != sum(n8,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f489,f3261]) ).

fof(f3263,plain,
    ( n8 != sum(n8,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f12,f3262]) ).

fof(f3264,plain,
    ( n8 != sum(n8,n0)
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f157,f3263]) ).

fof(f3265,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3264,f164]) ).

fof(f3266,plain,
    ( ~ spl0_24
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f3265]) ).

fof(f3267,plain,
    ( sum(sum(n13,succ(n8)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f489,f2717]) ).

fof(f3268,plain,
    ( sum(sum(n13,n9),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f12,f3267]) ).

fof(f3269,plain,
    ( sum(n6,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f253,f3268]) ).

fof(f3270,plain,
    ( sum(n6,sum(pred(n8),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f489,f3269]) ).

fof(f3271,plain,
    ( sum(n6,sum(n7,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f28,f3270]) ).

fof(f3272,plain,
    ( sum(n6,n6) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f163,f3271]) ).

fof(f3273,plain,
    ( n12 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f138,f3272]) ).

fof(f3274,plain,
    ( n12 != sum(n12,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f489,f3273]) ).

fof(f3275,plain,
    ( n12 != sum(n12,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f28,f3274]) ).

fof(f3276,plain,
    ( n12 != sum(n12,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f489,f3275]) ).

fof(f3277,plain,
    ( n12 != sum(n12,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f12,f3276]) ).

fof(f3278,plain,
    ( n12 != sum(n12,n0)
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f157,f3277]) ).

fof(f3279,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3278,f228]) ).

fof(f3280,plain,
    ( ~ spl0_24
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f3279]) ).

fof(f3281,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f465,f294]) ).

fof(f3282,plain,
    ( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f3281]) ).

fof(f3283,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f3282]) ).

fof(f3284,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f3283]) ).

fof(f3285,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f3284]) ).

fof(f3286,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f3285]) ).

fof(f3287,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f3286]) ).

fof(f3288,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,n1))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f3287]) ).

fof(f3289,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f3288]) ).

fof(f3320,plain,
    ( sum(sum(pred(n13),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f455,f2666]) ).

fof(f3321,plain,
    ( sum(sum(n12,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f33,f3320]) ).

fof(f3322,plain,
    ( sum(n13,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f229,f3321]) ).

fof(f3323,plain,
    ( sum(n13,sum(n15,succ(n13))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f455,f3322]) ).

fof(f3324,plain,
    ( sum(n13,sum(n15,n14)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f17,f3323]) ).

fof(f3325,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f290,f3324]) ).

fof(f3326,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f257,f3325]) ).

fof(f3327,plain,
    ( n10 != sum(sum(pred(n13),succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f455,f3326]) ).

fof(f3328,plain,
    ( n10 != sum(sum(n12,succ(sk0_0)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f33,f3327]) ).

fof(f3329,plain,
    ( n10 != sum(sum(n12,succ(n13)),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f455,f3328]) ).

fof(f3330,plain,
    ( n10 != sum(sum(n12,n14),n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f17,f3329]) ).

fof(f3331,plain,
    ( n10 != sum(n10,n0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f242,f3330]) ).

fof(f3332,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3331,f196]) ).

fof(f3333,plain,
    ( ~ spl0_13
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f3332]) ).

fof(f3334,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f422,f294]) ).

fof(f3335,plain,
    ( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f3334]) ).

fof(f3336,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f3335]) ).

fof(f3337,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f3336]) ).

fof(f3338,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f3337]) ).

fof(f3339,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f3338]) ).

fof(f3340,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f3339]) ).

fof(f3341,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f3340]) ).

fof(f3342,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f3341]) ).

fof(f3343,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f422,f735]) ).

fof(f3344,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f3343]) ).

fof(f3345,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f3344]) ).

fof(f3346,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f3345]) ).

fof(f3347,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f3346]) ).

fof(f3348,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f3347]) ).

fof(f3349,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f3348]) ).

fof(f3379,plain,
    ( sum(sum(n1,succ(n11)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f498,f2821]) ).

fof(f3380,plain,
    ( sum(sum(n1,n12),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f15,f3379]) ).

fof(f3381,plain,
    ( sum(n13,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f64,f3380]) ).

fof(f3382,plain,
    ( sum(n13,sum(pred(n11),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f498,f3381]) ).

fof(f3383,plain,
    ( sum(n13,sum(n10,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f31,f3382]) ).

fof(f3384,plain,
    ( sum(n13,n13) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f199,f3383]) ).

fof(f3385,plain,
    ( n10 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f257,f3384]) ).

fof(f3386,plain,
    ( n10 != sum(n4,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f498,f3385]) ).

fof(f3387,plain,
    ( n10 != sum(n4,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f31,f3386]) ).

fof(f3388,plain,
    ( n10 != sum(n4,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f498,f3387]) ).

fof(f3389,plain,
    ( n10 != sum(n4,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f15,f3388]) ).

fof(f3390,plain,
    ( n10 != sum(n4,n6)
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f208,f3389]) ).

fof(f3391,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3390,f106]) ).

fof(f3392,plain,
    ( ~ spl0_27
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f3391]) ).

fof(f3393,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f477,f294]) ).

fof(f3394,plain,
    ( sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f3393]) ).

fof(f3395,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f3394]) ).

fof(f3396,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(n4),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f3395]) ).

fof(f3397,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f3396]) ).

fof(f3398,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n4),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f3397]) ).

fof(f3399,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f3398]) ).

fof(f3400,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,n5))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f3399]) ).

fof(f3401,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f3400]) ).

fof(f3432,plain,
    ( sum(sum(n12,succ(n4)),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f477,f1190]) ).

fof(f3433,plain,
    ( sum(sum(n12,n5),sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f8,f3432]) ).

fof(f3434,plain,
    ( sum(n1,sum(pred(sk0_1),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f233,f3433]) ).

fof(f3435,plain,
    ( sum(n1,sum(pred(n4),n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f477,f3434]) ).

fof(f3436,plain,
    ( sum(n1,sum(n3,n14)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f24,f3435]) ).

fof(f3437,plain,
    ( sum(n1,n1) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f98,f3436]) ).

fof(f3438,plain,
    ( n2 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f53,f3437]) ).

fof(f3439,plain,
    ( n2 != sum(n10,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f477,f3438]) ).

fof(f3440,plain,
    ( n2 != sum(n10,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f24,f3439]) ).

fof(f3441,plain,
    ( n2 != sum(n10,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f477,f3440]) ).

fof(f3442,plain,
    ( n2 != sum(n10,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f8,f3441]) ).

fof(f3443,plain,
    ( n2 != sum(n10,n8)
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f89,f3442]) ).

fof(f3444,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3443,f204]) ).

fof(f3445,plain,
    ( ~ spl0_20
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f3444]) ).

fof(f3446,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f468,f294]) ).

fof(f3447,plain,
    ( sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f3446]) ).

fof(f3448,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f3447]) ).

fof(f3449,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(n1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f3448]) ).

fof(f3450,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f3449]) ).

fof(f3451,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f3450]) ).

fof(f3452,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f3451]) ).

fof(f3453,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,n2))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f3452]) ).

fof(f3454,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f3453]) ).

fof(f3484,plain,
    ( sum(sum(pred(n1),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f419,f1809]) ).

fof(f3485,plain,
    ( sum(sum(n0,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f3484]) ).

fof(f3486,plain,
    ( sum(n2,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f3485]) ).

fof(f3487,plain,
    ( sum(n2,sum(n0,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f419,f3486]) ).

fof(f3488,plain,
    ( sum(n2,sum(n0,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f3487]) ).

fof(f3489,plain,
    ( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f3488]) ).

fof(f3490,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f70,f3489]) ).

fof(f3491,plain,
    ( n4 != sum(sum(pred(n1),succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f419,f3490]) ).

fof(f3492,plain,
    ( n4 != sum(sum(n0,succ(sk0_0)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f3491]) ).

fof(f3493,plain,
    ( n4 != sum(sum(n0,succ(n1)),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f419,f3492]) ).

fof(f3494,plain,
    ( n4 != sum(sum(n0,n2),n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f3493]) ).

fof(f3495,plain,
    ( n4 != sum(n2,n2)
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f3494]) ).

fof(f3496,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3495,f70]) ).

fof(f3497,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f3496]) ).

fof(f3498,plain,
    ( sum(sum(pred(n1),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f419,f2003]) ).

fof(f3499,plain,
    ( sum(sum(n0,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f21,f3498]) ).

fof(f3500,plain,
    ( sum(n15,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f51,f3499]) ).

fof(f3501,plain,
    ( sum(n15,sum(n13,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f419,f3500]) ).

fof(f3502,plain,
    ( sum(n15,sum(n13,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f5,f3501]) ).

fof(f3503,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f246,f3502]) ).

fof(f3504,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f291,f3503]) ).

fof(f3505,plain,
    ( n14 != sum(sum(pred(n1),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f419,f3504]) ).

fof(f3506,plain,
    ( n14 != sum(sum(n0,succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f21,f3505]) ).

fof(f3507,plain,
    ( n14 != sum(sum(n0,succ(n1)),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f419,f3506]) ).

fof(f3508,plain,
    ( n14 != sum(sum(n0,n2),n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f5,f3507]) ).

fof(f3509,plain,
    ( n14 != sum(n2,n12)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f38,f3508]) ).

fof(f3510,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3509,f80]) ).

fof(f3511,plain,
    ( ~ spl0_1
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f3510]) ).

fof(f3521,plain,
    ( sum(sum(pred(n1),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f419,f2092]) ).

fof(f3522,plain,
    ( sum(sum(n0,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f21,f3521]) ).

fof(f3523,plain,
    ( sum(n13,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f49,f3522]) ).

fof(f3524,plain,
    ( sum(n13,sum(n11,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f419,f3523]) ).

fof(f3525,plain,
    ( sum(n13,sum(n11,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f5,f3524]) ).

fof(f3526,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f214,f3525]) ).

fof(f3527,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f257,f3526]) ).

fof(f3528,plain,
    ( n10 != sum(sum(pred(n1),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f419,f3527]) ).

fof(f3529,plain,
    ( n10 != sum(sum(n0,succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f21,f3528]) ).

fof(f3530,plain,
    ( n10 != sum(sum(n0,succ(n1)),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f419,f3529]) ).

fof(f3531,plain,
    ( n10 != sum(sum(n0,n2),n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f5,f3530]) ).

fof(f3532,plain,
    ( n10 != sum(n2,n8)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f38,f3531]) ).

fof(f3533,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3532,f76]) ).

fof(f3534,plain,
    ( ~ spl0_1
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f3533]) ).

fof(f3535,plain,
    ( sum(sum(pred(n1),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f419,f2220]) ).

fof(f3536,plain,
    ( sum(sum(n0,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f21,f3535]) ).

fof(f3537,plain,
    ( sum(n11,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f47,f3536]) ).

fof(f3538,plain,
    ( sum(n11,sum(n9,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f419,f3537]) ).

fof(f3539,plain,
    ( sum(n11,sum(n9,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f5,f3538]) ).

fof(f3540,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f182,f3539]) ).

fof(f3541,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f223,f3540]) ).

fof(f3542,plain,
    ( n6 != sum(sum(pred(n1),succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f419,f3541]) ).

fof(f3543,plain,
    ( n6 != sum(sum(n0,succ(sk0_0)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f21,f3542]) ).

fof(f3544,plain,
    ( n6 != sum(sum(n0,succ(n1)),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f419,f3543]) ).

fof(f3545,plain,
    ( n6 != sum(sum(n0,n2),n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f5,f3544]) ).

fof(f3546,plain,
    ( n6 != sum(n2,n4)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f38,f3545]) ).

fof(f3547,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3546,f72]) ).

fof(f3548,plain,
    ( ~ spl0_1
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f3547]) ).

fof(f3549,plain,
    ( sum(sum(pred(n1),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f419,f2874]) ).

fof(f3550,plain,
    ( sum(sum(n0,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f21,f3549]) ).

fof(f3551,plain,
    ( sum(n7,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f43,f3550]) ).

fof(f3552,plain,
    ( sum(n7,sum(n5,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f419,f3551]) ).

fof(f3553,plain,
    ( sum(n7,sum(n5,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f5,f3552]) ).

fof(f3554,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f118,f3553]) ).

fof(f3555,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f155,f3554]) ).

fof(f3556,plain,
    ( n14 != sum(sum(pred(n1),succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f419,f3555]) ).

fof(f3557,plain,
    ( n14 != sum(sum(n0,succ(sk0_0)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f21,f3556]) ).

fof(f3558,plain,
    ( n14 != sum(sum(n0,succ(n1)),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f419,f3557]) ).

fof(f3559,plain,
    ( n14 != sum(sum(n0,n2),n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f5,f3558]) ).

fof(f3560,plain,
    ( n14 != sum(n2,n12)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f38,f3559]) ).

fof(f3561,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3560,f80]) ).

fof(f3562,plain,
    ( ~ spl0_1
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f3561]) ).

fof(f3601,plain,
    ( sum(sum(n15,succ(n3)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f474,f3099]) ).

fof(f3602,plain,
    ( sum(sum(n15,n4),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f7,f3601]) ).

fof(f3603,plain,
    ( sum(n3,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f280,f3602]) ).

fof(f3604,plain,
    ( sum(n3,sum(pred(n3),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f474,f3603]) ).

fof(f3605,plain,
    ( sum(n3,sum(n2,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f23,f3604]) ).

fof(f3606,plain,
    ( sum(n3,n3) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f69,f3605]) ).

fof(f3607,plain,
    ( n6 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f87,f3606]) ).

fof(f3608,plain,
    ( n6 != sum(n0,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f474,f3607]) ).

fof(f3609,plain,
    ( n6 != sum(n0,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f23,f3608]) ).

fof(f3610,plain,
    ( n6 != sum(n0,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f474,f3609]) ).

fof(f3611,plain,
    ( n6 != sum(n0,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f7,f3610]) ).

fof(f3612,plain,
    ( n6 != sum(n0,n6)
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f72,f3611]) ).

fof(f3613,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3612,f42]) ).

fof(f3614,plain,
    ( ~ spl0_19
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f3613]) ).

fof(f3615,plain,
    ( sum(sum(pred(n0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f416,f1446]) ).

fof(f3616,plain,
    ( sum(sum(n15,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f20,f3615]) ).

fof(f3617,plain,
    ( sum(n7,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f284,f3616]) ).

fof(f3618,plain,
    ( sum(n7,sum(n6,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f416,f3617]) ).

fof(f3619,plain,
    ( sum(n7,sum(n6,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f4,f3618]) ).

fof(f3620,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f133,f3619]) ).

fof(f3621,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f155,f3620]) ).

fof(f3622,plain,
    ( n14 != sum(sum(pred(n0),succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f416,f3621]) ).

fof(f3623,plain,
    ( n14 != sum(sum(n15,succ(sk0_0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f20,f3622]) ).

fof(f3624,plain,
    ( n14 != sum(sum(n15,succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f416,f3623]) ).

fof(f3625,plain,
    ( n14 != sum(sum(n15,n1),n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f4,f3624]) ).

fof(f3626,plain,
    ( n14 != sum(n0,n14)
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f277,f3625]) ).

fof(f3627,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3626,f50]) ).

fof(f3628,plain,
    ( ~ spl0_0
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f3627]) ).

fof(f3629,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f437,f294]) ).

fof(f3630,plain,
    ( sum(sum(pred(n7),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f437,f3629]) ).

fof(f3631,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f27,f3630]) ).

fof(f3632,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f437,f3631]) ).

fof(f3633,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f11,f3632]) ).

fof(f3634,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f437,f3633]) ).

fof(f3635,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f27,f3634]) ).

fof(f3636,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,n8),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f11,f3635]) ).

fof(f3637,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f140,f3636]) ).

fof(f3667,plain,
    ( sum(sum(n6,succ(n2)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f471,f2510]) ).

fof(f3668,plain,
    ( sum(sum(n6,n3),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f6,f3667]) ).

fof(f3669,plain,
    ( sum(n9,sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f135,f3668]) ).

fof(f3670,plain,
    ( sum(n9,sum(pred(n2),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f471,f3669]) ).

fof(f3671,plain,
    ( sum(n9,sum(n1,n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f22,f3670]) ).

fof(f3672,plain,
    ( sum(n9,n9) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f60,f3671]) ).

fof(f3673,plain,
    ( n2 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f189,f3672]) ).

fof(f3674,plain,
    ( n2 != sum(n14,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f471,f3673]) ).

fof(f3675,plain,
    ( n2 != sum(n14,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f22,f3674]) ).

fof(f3676,plain,
    ( n2 != sum(n14,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f471,f3675]) ).

fof(f3677,plain,
    ( n2 != sum(n14,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f6,f3676]) ).

fof(f3678,plain,
    ( n2 != sum(n14,n4)
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f55,f3677]) ).

fof(f3679,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3678,f264]) ).

fof(f3680,plain,
    ( ~ spl0_18
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f3679]) ).

fof(f3681,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f434,f294]) ).

fof(f3682,plain,
    ( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f3681]) ).

fof(f3683,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f3682]) ).

fof(f3684,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f3683]) ).

fof(f3685,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f3684]) ).

fof(f3686,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f3685]) ).

fof(f3687,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f3686]) ).

fof(f3688,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f3687]) ).

fof(f3689,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f3688]) ).

fof(f3719,plain,
    ( sum(sum(pred(n6),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f434,f2144]) ).

fof(f3720,plain,
    ( sum(sum(n5,n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f26,f3719]) ).

fof(f3721,plain,
    ( sum(n3,sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f130,f3720]) ).

fof(f3722,plain,
    ( sum(n3,sum(n12,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f434,f3721]) ).

fof(f3723,plain,
    ( sum(n3,sum(n12,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f10,f3722]) ).

fof(f3724,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f235,f3723]) ).

fof(f3725,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f87,f3724]) ).

fof(f3726,plain,
    ( n6 != sum(sum(pred(n6),succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f434,f3725]) ).

fof(f3727,plain,
    ( n6 != sum(sum(n5,succ(sk0_0)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f26,f3726]) ).

fof(f3728,plain,
    ( n6 != sum(sum(n5,succ(n6)),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f434,f3727]) ).

fof(f3729,plain,
    ( n6 != sum(sum(n5,n7),n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f10,f3728]) ).

fof(f3730,plain,
    ( n6 != sum(n12,n10)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f123,f3729]) ).

fof(f3731,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3730,f238]) ).

fof(f3732,plain,
    ( ~ spl0_6
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f3731]) ).

fof(f3733,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f428,f294]) ).

fof(f3734,plain,
    ( sum(sum(pred(n4),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f428,f3733]) ).

fof(f3735,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f24,f3734]) ).

fof(f3736,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(n4))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f428,f3735]) ).

fof(f3737,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f8,f3736]) ).

fof(f3738,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f428,f3737]) ).

fof(f3739,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f24,f3738]) ).

fof(f3740,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,n5),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f8,f3739]) ).

fof(f3741,plain,
    ( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f89,f3740]) ).

fof(f3757,plain,
    ( sum(sum(pred(n4),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f428,f2927]) ).

fof(f3758,plain,
    ( sum(sum(n3,n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f24,f3757]) ).

fof(f3759,plain,
    ( sum(n15,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f96,f3758]) ).

fof(f3760,plain,
    ( sum(n15,sum(n10,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f428,f3759]) ).

fof(f3761,plain,
    ( sum(n15,sum(n10,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f8,f3760]) ).

fof(f3762,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f201,f3761]) ).

fof(f3763,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f291,f3762]) ).

fof(f3764,plain,
    ( n14 != sum(sum(pred(n4),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f428,f3763]) ).

fof(f3765,plain,
    ( n14 != sum(sum(n3,succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f24,f3764]) ).

fof(f3766,plain,
    ( n14 != sum(sum(n3,succ(n4)),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f428,f3765]) ).

fof(f3767,plain,
    ( n14 != sum(sum(n3,n5),n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f8,f3766]) ).

fof(f3768,plain,
    ( n14 != sum(n8,n6)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f89,f3767]) ).

fof(f3769,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3768,f170]) ).

fof(f3770,plain,
    ( ~ spl0_4
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f3769]) ).

fof(f3771,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f449,f294]) ).

fof(f3772,plain,
    ( sum(sum(pred(n11),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f449,f3771]) ).

fof(f3773,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f3772]) ).

fof(f3774,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(n11))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f449,f3773]) ).

fof(f3775,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f15,f3774]) ).

fof(f3776,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(pred(n11),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f449,f3775]) ).

fof(f3777,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(n10,succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f3776]) ).

fof(f3778,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(n10,n12),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f15,f3777]) ).

fof(f3779,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f208,f3778]) ).

fof(f3809,plain,
    ( sum(sum(pred(n11),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f449,f2144]) ).

fof(f3810,plain,
    ( sum(sum(n10,n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f31,f3809]) ).

fof(f3811,plain,
    ( sum(n8,sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f210,f3810]) ).

fof(f3812,plain,
    ( sum(n8,sum(n12,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f449,f3811]) ).

fof(f3813,plain,
    ( sum(n8,sum(n12,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f15,f3812]) ).

fof(f3814,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f240,f3813]) ).

fof(f3815,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f172,f3814]) ).

fof(f3816,plain,
    ( n0 != sum(sum(pred(n11),succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f449,f3815]) ).

fof(f3817,plain,
    ( n0 != sum(sum(n10,succ(sk0_0)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f31,f3816]) ).

fof(f3818,plain,
    ( n0 != sum(sum(n10,succ(n11)),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f449,f3817]) ).

fof(f3819,plain,
    ( n0 != sum(sum(n10,n12),n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f15,f3818]) ).

fof(f3820,plain,
    ( n0 != sum(n6,n10)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f208,f3819]) ).

fof(f3821,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3820,f142]) ).

fof(f3822,plain,
    ( ~ spl0_11
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f3821]) ).

fof(f3823,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f3824,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f3823]) ).

fof(f3825,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f3824]) ).

fof(f3826,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f3825]) ).

fof(f3827,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f3826]) ).

fof(f3828,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f3827]) ).

fof(f3829,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f3828]) ).

fof(f3830,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f3829]) ).

fof(f3831,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f3830]) ).

fof(f3861,plain,
    ( sum(sum(n8,succ(n11)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f498,f704]) ).

fof(f3862,plain,
    ( sum(sum(n8,n12),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f15,f3861]) ).

fof(f3863,plain,
    ( sum(n4,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f176,f3862]) ).

fof(f3864,plain,
    ( sum(n4,sum(pred(n11),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f498,f3863]) ).

fof(f3865,plain,
    ( sum(n4,sum(n10,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f31,f3864]) ).

fof(f3866,plain,
    ( sum(n4,n4) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f206,f3865]) ).

fof(f3867,plain,
    ( n8 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f104,f3866]) ).

fof(f3868,plain,
    ( n8 != sum(n2,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f498,f3867]) ).

fof(f3869,plain,
    ( n8 != sum(n2,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f31,f3868]) ).

fof(f3870,plain,
    ( n8 != sum(n2,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f498,f3869]) ).

fof(f3871,plain,
    ( n8 != sum(n2,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f15,f3870]) ).

fof(f3872,plain,
    ( n8 != sum(n2,n6)
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f208,f3871]) ).

fof(f3873,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3872,f74]) ).

fof(f3874,plain,
    ( ~ spl0_27
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f3873]) ).

fof(f3899,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f504,f808]) ).

fof(f3900,plain,
    ( sum(sum(n7,succ(n13)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f504,f3899]) ).

fof(f3901,plain,
    ( sum(sum(n7,n14),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f17,f3900]) ).

fof(f3902,plain,
    ( sum(n5,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f162,f3901]) ).

fof(f3903,plain,
    ( sum(n5,sum(pred(n13),n9)) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f504,f3902]) ).

fof(f3904,plain,
    ( sum(n5,sum(n12,n9)) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f33,f3903]) ).

fof(f3905,plain,
    ( sum(n5,n5) != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f237,f3904]) ).

fof(f3906,plain,
    ( n10 != sum(n0,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f121,f3905]) ).

fof(f3907,plain,
    ( n10 != sum(n0,sum(pred(n13),succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f504,f3906]) ).

fof(f3908,plain,
    ( n10 != sum(n0,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f33,f3907]) ).

fof(f3909,plain,
    ( n10 != sum(n0,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f17,f3908]) ).

fof(f3910,plain,
    ( n10 != sum(n0,n10)
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f242,f3909]) ).

fof(f3911,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3910,f46]) ).

fof(f3912,plain,
    ( ~ spl0_29
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f3911]) ).

fof(f3913,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f452,f294]) ).

fof(f3914,plain,
    ( sum(sum(pred(n12),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f452,f3913]) ).

fof(f3915,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f32,f3914]) ).

fof(f3916,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),succ(n12))) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f452,f3915]) ).

fof(f3917,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f16,f3916]) ).

fof(f3918,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(pred(n12),succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f452,f3917]) ).

fof(f3919,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(n11,succ(n12)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f32,f3918]) ).

fof(f3920,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(sum(n11,n13),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f16,f3919]) ).

fof(f3921,plain,
    ( sum(sum(n11,succ(sk0_1)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f225,f3920]) ).

fof(f3951,plain,
    ( sum(sum(n11,succ(n7)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f486,f765]) ).

fof(f3952,plain,
    ( sum(sum(n11,n8),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f11,f3951]) ).

fof(f3953,plain,
    ( sum(n3,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f220,f3952]) ).

fof(f3954,plain,
    ( sum(n3,sum(pred(n7),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f486,f3953]) ).

fof(f3955,plain,
    ( sum(n3,sum(n6,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f27,f3954]) ).

fof(f3956,plain,
    ( sum(n3,n3) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f145,f3955]) ).

fof(f3957,plain,
    ( n6 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f87,f3956]) ).

fof(f3958,plain,
    ( n6 != sum(n8,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f486,f3957]) ).

fof(f3959,plain,
    ( n6 != sum(n8,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f27,f3958]) ).

fof(f3960,plain,
    ( n6 != sum(n8,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f486,f3959]) ).

fof(f3961,plain,
    ( n6 != sum(n8,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f11,f3960]) ).

fof(f3962,plain,
    ( n6 != sum(n8,n14)
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f140,f3961]) ).

fof(f3963,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3962,f178]) ).

fof(f3964,plain,
    ( ~ spl0_23
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f3963]) ).

fof(f3965,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f458,f294]) ).

fof(f3966,plain,
    ( sum(sum(pred(n14),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f3965]) ).

fof(f3967,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f34,f3966]) ).

fof(f3968,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),succ(n14))) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f3967]) ).

fof(f3969,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f3968]) ).

fof(f3970,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(pred(n14),succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f458,f3969]) ).

fof(f3971,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(n13,succ(n14)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f34,f3970]) ).

fof(f3972,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(sum(n13,n15),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f3971]) ).

fof(f3973,plain,
    ( sum(sum(n13,succ(sk0_1)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f259,f3972]) ).

fof(f4003,plain,
    ( sum(sum(n13,succ(n11)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f498,f625]) ).

fof(f4004,plain,
    ( sum(sum(n13,n12),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f15,f4003]) ).

fof(f4005,plain,
    ( sum(n9,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f256,f4004]) ).

fof(f4006,plain,
    ( sum(n9,sum(pred(n11),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f498,f4005]) ).

fof(f4007,plain,
    ( sum(n9,sum(n10,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f31,f4006]) ).

fof(f4008,plain,
    ( sum(n9,n9) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f211,f4007]) ).

fof(f4009,plain,
    ( n2 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f189,f4008]) ).

fof(f4010,plain,
    ( n2 != sum(n12,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f498,f4009]) ).

fof(f4011,plain,
    ( n2 != sum(n12,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f31,f4010]) ).

fof(f4012,plain,
    ( n2 != sum(n12,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f498,f4011]) ).

fof(f4013,plain,
    ( n2 != sum(n12,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f15,f4012]) ).

fof(f4014,plain,
    ( n2 != sum(n12,n6)
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f208,f4013]) ).

fof(f4015,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4014,f234]) ).

fof(f4016,plain,
    ( ~ spl0_27
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f4015]) ).

fof(f4017,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f461,f294]) ).

fof(f4018,plain,
    ( sum(sum(pred(n15),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f4017]) ).

fof(f4019,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f4018]) ).

fof(f4020,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f4019]) ).

fof(f4021,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f4020]) ).

fof(f4022,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n15),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f4021]) ).

fof(f4023,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f4022]) ).

fof(f4024,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,n0),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f4023]) ).

fof(f4025,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f260,f4024]) ).

fof(f4041,plain,
    ( sum(sum(pred(n15),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f461,f1861]) ).

fof(f4042,plain,
    ( sum(sum(n14,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f35,f4041]) ).

fof(f4043,plain,
    ( sum(n6,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f268,f4042]) ).

fof(f4044,plain,
    ( sum(n6,sum(n6,succ(n15))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f461,f4043]) ).

fof(f4045,plain,
    ( sum(n6,sum(n6,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f19,f4044]) ).

fof(f4046,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f132,f4045]) ).

fof(f4047,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f138,f4046]) ).

fof(f4048,plain,
    ( n12 != sum(sum(pred(n15),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f461,f4047]) ).

fof(f4049,plain,
    ( n12 != sum(sum(n14,succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f35,f4048]) ).

fof(f4050,plain,
    ( n12 != sum(sum(n14,succ(n15)),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f461,f4049]) ).

fof(f4051,plain,
    ( n12 != sum(sum(n14,n0),n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f19,f4050]) ).

fof(f4052,plain,
    ( n12 != sum(n14,n14)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f260,f4051]) ).

fof(f4053,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4052,f274]) ).

fof(f4054,plain,
    ( ~ spl0_15
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f4053]) ).

fof(f4068,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f422,f294]) ).

fof(f4069,plain,
    ( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f4068]) ).

fof(f4070,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f4069]) ).

fof(f4071,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f4070]) ).

fof(f4072,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f4071]) ).

fof(f4073,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f4072]) ).

fof(f4074,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f4073]) ).

fof(f4075,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f4074]) ).

fof(f4076,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f4075]) ).

fof(f4106,plain,
    ( sum(sum(n1,succ(n13)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f504,f3342]) ).

fof(f4107,plain,
    ( sum(sum(n1,n14),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f17,f4106]) ).

fof(f4108,plain,
    ( sum(n15,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f66,f4107]) ).

fof(f4109,plain,
    ( sum(n15,sum(pred(n13),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f504,f4108]) ).

fof(f4110,plain,
    ( sum(n15,sum(n12,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f33,f4109]) ).

fof(f4111,plain,
    ( sum(n15,n15) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f231,f4110]) ).

fof(f4112,plain,
    ( n14 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f291,f4111]) ).

fof(f4113,plain,
    ( n14 != sum(n4,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f504,f4112]) ).

fof(f4114,plain,
    ( n14 != sum(n4,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f33,f4113]) ).

fof(f4115,plain,
    ( n14 != sum(n4,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f504,f4114]) ).

fof(f4116,plain,
    ( n14 != sum(n4,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f17,f4115]) ).

fof(f4117,plain,
    ( n14 != sum(n4,n10)
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f242,f4116]) ).

fof(f4118,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4117,f110]) ).

fof(f4119,plain,
    ( ~ spl0_29
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f4118]) ).

fof(f4120,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f477,f294]) ).

fof(f4121,plain,
    ( sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f4120]) ).

fof(f4122,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f4121]) ).

fof(f4123,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(n4),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f4122]) ).

fof(f4124,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f4123]) ).

fof(f4125,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n4),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f4124]) ).

fof(f4126,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f4125]) ).

fof(f4127,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,n5))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f4126]) ).

fof(f4128,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f4127]) ).

fof(f4159,plain,
    ( sum(sum(pred(n1),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f419,f3401]) ).

fof(f4160,plain,
    ( sum(sum(n0,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f21,f4159]) ).

fof(f4161,plain,
    ( sum(n5,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f41,f4160]) ).

fof(f4162,plain,
    ( sum(n5,sum(n3,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f419,f4161]) ).

fof(f4163,plain,
    ( sum(n5,sum(n3,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f5,f4162]) ).

fof(f4164,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f86,f4163]) ).

fof(f4165,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f121,f4164]) ).

fof(f4166,plain,
    ( n10 != sum(sum(pred(n1),succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f419,f4165]) ).

fof(f4167,plain,
    ( n10 != sum(sum(n0,succ(sk0_0)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f21,f4166]) ).

fof(f4168,plain,
    ( n10 != sum(sum(n0,succ(n1)),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f419,f4167]) ).

fof(f4169,plain,
    ( n10 != sum(sum(n0,n2),n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f5,f4168]) ).

fof(f4170,plain,
    ( n10 != sum(n2,n8)
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f38,f4169]) ).

fof(f4171,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4170,f76]) ).

fof(f4172,plain,
    ( ~ spl0_1
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f4171]) ).

fof(f4173,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f495,f294]) ).

fof(f4174,plain,
    ( sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f4173]) ).

fof(f4175,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f4174]) ).

fof(f4176,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f4175]) ).

fof(f4177,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f4176]) ).

fof(f4178,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n10),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f4177]) ).

fof(f4179,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f4178]) ).

fof(f4180,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,n11))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f4179]) ).

fof(f4181,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f4180]) ).

fof(f4211,plain,
    ( sum(sum(pred(n0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f416,f2220]) ).

fof(f4212,plain,
    ( sum(sum(n15,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f20,f4211]) ).

fof(f4213,plain,
    ( sum(n10,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f287,f4212]) ).

fof(f4214,plain,
    ( sum(n10,sum(n9,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f416,f4213]) ).

fof(f4215,plain,
    ( sum(n10,sum(n9,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f4,f4214]) ).

fof(f4216,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f181,f4215]) ).

fof(f4217,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f206,f4216]) ).

fof(f4218,plain,
    ( n4 != sum(sum(pred(n0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f416,f4217]) ).

fof(f4219,plain,
    ( n4 != sum(sum(n15,succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f20,f4218]) ).

fof(f4220,plain,
    ( n4 != sum(sum(n15,succ(n0)),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f416,f4219]) ).

fof(f4221,plain,
    ( n4 != sum(sum(n15,n1),n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f4,f4220]) ).

fof(f4222,plain,
    ( n4 != sum(n0,n4)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f277,f4221]) ).

fof(f4223,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4222,f40]) ).

fof(f4224,plain,
    ( ~ spl0_0
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f4223]) ).

fof(f4225,plain,
    ( sum(sum(pred(n0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f416,f2092]) ).

fof(f4226,plain,
    ( sum(sum(n15,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f20,f4225]) ).

fof(f4227,plain,
    ( sum(n12,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f289,f4226]) ).

fof(f4228,plain,
    ( sum(n12,sum(n11,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f416,f4227]) ).

fof(f4229,plain,
    ( sum(n12,sum(n11,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f4,f4228]) ).

fof(f4230,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f213,f4229]) ).

fof(f4231,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f240,f4230]) ).

fof(f4232,plain,
    ( n8 != sum(sum(pred(n0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f416,f4231]) ).

fof(f4233,plain,
    ( n8 != sum(sum(n15,succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f20,f4232]) ).

fof(f4234,plain,
    ( n8 != sum(sum(n15,succ(n0)),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f416,f4233]) ).

fof(f4235,plain,
    ( n8 != sum(sum(n15,n1),n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f4,f4234]) ).

fof(f4236,plain,
    ( n8 != sum(n0,n8)
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f277,f4235]) ).

fof(f4237,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4236,f44]) ).

fof(f4238,plain,
    ( ~ spl0_0
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f4237]) ).

fof(f4248,plain,
    ( sum(sum(pred(n0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f416,f2003]) ).

fof(f4249,plain,
    ( sum(sum(n15,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f20,f4248]) ).

fof(f4250,plain,
    ( sum(n14,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f291,f4249]) ).

fof(f4251,plain,
    ( sum(n14,sum(n13,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f416,f4250]) ).

fof(f4252,plain,
    ( sum(n14,sum(n13,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f4,f4251]) ).

fof(f4253,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f245,f4252]) ).

fof(f4254,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f274,f4253]) ).

fof(f4255,plain,
    ( n12 != sum(sum(pred(n0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f416,f4254]) ).

fof(f4256,plain,
    ( n12 != sum(sum(n15,succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f20,f4255]) ).

fof(f4257,plain,
    ( n12 != sum(sum(n15,succ(n0)),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f416,f4256]) ).

fof(f4258,plain,
    ( n12 != sum(sum(n15,n1),n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f4,f4257]) ).

fof(f4259,plain,
    ( n12 != sum(n0,n12)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f277,f4258]) ).

fof(f4260,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4259,f48]) ).

fof(f4261,plain,
    ( ~ spl0_0
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f4260]) ).

fof(f4262,plain,
    ( sum(sum(pred(n0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f416,f3454]) ).

fof(f4263,plain,
    ( sum(sum(n15,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f20,f4262]) ).

fof(f4264,plain,
    ( sum(n1,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f278,f4263]) ).

fof(f4265,plain,
    ( sum(n1,sum(n0,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f416,f4264]) ).

fof(f4266,plain,
    ( sum(n1,sum(n0,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f4,f4265]) ).

fof(f4267,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f37,f4266]) ).

fof(f4268,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f53,f4267]) ).

fof(f4269,plain,
    ( n2 != sum(sum(pred(n0),succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f416,f4268]) ).

fof(f4270,plain,
    ( n2 != sum(sum(n15,succ(sk0_0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f20,f4269]) ).

fof(f4271,plain,
    ( n2 != sum(sum(n15,succ(n0)),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f416,f4270]) ).

fof(f4272,plain,
    ( n2 != sum(sum(n15,n1),n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f4,f4271]) ).

fof(f4273,plain,
    ( n2 != sum(n0,n2)
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f277,f4272]) ).

fof(f4274,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4273,f38]) ).

fof(f4275,plain,
    ( ~ spl0_0
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f4274]) ).

fof(f4276,plain,
    ( sum(sum(pred(n0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f416,f1497]) ).

fof(f4277,plain,
    ( sum(sum(n15,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f20,f4276]) ).

fof(f4278,plain,
    ( sum(n6,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f283,f4277]) ).

fof(f4279,plain,
    ( sum(n6,sum(n5,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f416,f4278]) ).

fof(f4280,plain,
    ( sum(n6,sum(n5,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f4,f4279]) ).

fof(f4281,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f117,f4280]) ).

fof(f4282,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f138,f4281]) ).

fof(f4283,plain,
    ( n12 != sum(sum(pred(n0),succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f416,f4282]) ).

fof(f4284,plain,
    ( n12 != sum(sum(n15,succ(sk0_0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f20,f4283]) ).

fof(f4285,plain,
    ( n12 != sum(sum(n15,succ(n0)),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f416,f4284]) ).

fof(f4286,plain,
    ( n12 != sum(sum(n15,n1),n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f4,f4285]) ).

fof(f4287,plain,
    ( n12 != sum(n0,n12)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f277,f4286]) ).

fof(f4288,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4287,f48]) ).

fof(f4289,plain,
    ( ~ spl0_0
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f4288]) ).

fof(f4290,plain,
    ( sum(sum(pred(n0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f416,f1744]) ).

fof(f4291,plain,
    ( sum(sum(n15,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f20,f4290]) ).

fof(f4292,plain,
    ( sum(n2,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f279,f4291]) ).

fof(f4293,plain,
    ( sum(n2,sum(n1,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f416,f4292]) ).

fof(f4294,plain,
    ( sum(n2,sum(n1,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f4,f4293]) ).

fof(f4295,plain,
    ( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f53,f4294]) ).

fof(f4296,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f70,f4295]) ).

fof(f4297,plain,
    ( n4 != sum(sum(pred(n0),succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f416,f4296]) ).

fof(f4298,plain,
    ( n4 != sum(sum(n15,succ(sk0_0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f20,f4297]) ).

fof(f4299,plain,
    ( n4 != sum(sum(n15,succ(n0)),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f416,f4298]) ).

fof(f4300,plain,
    ( n4 != sum(sum(n15,n1),n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f4,f4299]) ).

fof(f4301,plain,
    ( n4 != sum(n0,n4)
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f277,f4300]) ).

fof(f4302,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4301,f40]) ).

fof(f4303,plain,
    ( ~ spl0_0
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f4302]) ).

fof(f4304,plain,
    ( sum(sum(pred(n0),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f416,f2144]) ).

fof(f4305,plain,
    ( sum(sum(n15,n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f20,f4304]) ).

fof(f4306,plain,
    ( sum(n13,sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f290,f4305]) ).

fof(f4307,plain,
    ( sum(n13,sum(n12,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f416,f4306]) ).

fof(f4308,plain,
    ( sum(n13,sum(n12,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f4,f4307]) ).

fof(f4309,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f229,f4308]) ).

fof(f4310,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f257,f4309]) ).

fof(f4311,plain,
    ( n10 != sum(sum(pred(n0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f416,f4310]) ).

fof(f4312,plain,
    ( n10 != sum(sum(n15,succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f20,f4311]) ).

fof(f4313,plain,
    ( n10 != sum(sum(n15,succ(n0)),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f416,f4312]) ).

fof(f4314,plain,
    ( n10 != sum(sum(n15,n1),n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f4,f4313]) ).

fof(f4315,plain,
    ( n10 != sum(n0,n10)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f277,f4314]) ).

fof(f4316,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4315,f46]) ).

fof(f4317,plain,
    ( ~ spl0_0
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f4316]) ).

fof(f4318,plain,
    ( sum(sum(pred(n0),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f416,f2244]) ).

fof(f4319,plain,
    ( sum(sum(n15,n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f20,f4318]) ).

fof(f4320,plain,
    ( sum(n11,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f288,f4319]) ).

fof(f4321,plain,
    ( sum(n11,sum(n10,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f416,f4320]) ).

fof(f4322,plain,
    ( sum(n11,sum(n10,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f4,f4321]) ).

fof(f4323,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f197,f4322]) ).

fof(f4324,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f223,f4323]) ).

fof(f4325,plain,
    ( n6 != sum(sum(pred(n0),succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f416,f4324]) ).

fof(f4326,plain,
    ( n6 != sum(sum(n15,succ(sk0_0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f20,f4325]) ).

fof(f4327,plain,
    ( n6 != sum(sum(n15,succ(n0)),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f416,f4326]) ).

fof(f4328,plain,
    ( n6 != sum(sum(n15,n1),n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f4,f4327]) ).

fof(f4329,plain,
    ( n6 != sum(n0,n6)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f277,f4328]) ).

fof(f4330,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4329,f42]) ).

fof(f4331,plain,
    ( ~ spl0_0
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f4330]) ).

fof(f4332,plain,
    ( sum(sum(pred(n0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f416,f2573]) ).

fof(f4333,plain,
    ( sum(sum(n15,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f20,f4332]) ).

fof(f4334,plain,
    ( sum(n5,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f282,f4333]) ).

fof(f4335,plain,
    ( sum(n5,sum(n4,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f416,f4334]) ).

fof(f4336,plain,
    ( sum(n5,sum(n4,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f4335]) ).

fof(f4337,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f101,f4336]) ).

fof(f4338,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f121,f4337]) ).

fof(f4339,plain,
    ( n10 != sum(sum(pred(n0),succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f416,f4338]) ).

fof(f4340,plain,
    ( n10 != sum(sum(n15,succ(sk0_0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f20,f4339]) ).

fof(f4341,plain,
    ( n10 != sum(sum(n15,succ(n0)),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f416,f4340]) ).

fof(f4342,plain,
    ( n10 != sum(sum(n15,n1),n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f4341]) ).

fof(f4343,plain,
    ( n10 != sum(n0,n10)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f277,f4342]) ).

fof(f4344,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4343,f46]) ).

fof(f4345,plain,
    ( ~ spl0_0
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f4344]) ).

fof(f4346,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f474,f294]) ).

fof(f4347,plain,
    ( sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f4346]) ).

fof(f4348,plain,
    ( sum(sum(pred(sk0_0),n4),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f7,f4347]) ).

fof(f4349,plain,
    ( sum(sum(pred(sk0_0),n4),sum(pred(n3),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f4348]) ).

fof(f4350,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f23,f4349]) ).

fof(f4351,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n3),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f4350]) ).

fof(f4352,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f23,f4351]) ).

fof(f4353,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,n4))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f7,f4352]) ).

fof(f4354,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f72,f4353]) ).

fof(f4368,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f437,f1898]) ).

fof(f4369,plain,
    ( sum(sum(pred(n7),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f437,f4368]) ).

fof(f4370,plain,
    ( sum(sum(n6,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f27,f4369]) ).

fof(f4371,plain,
    ( sum(n10,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f136,f4370]) ).

fof(f4372,plain,
    ( sum(n10,sum(n2,succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f437,f4371]) ).

fof(f4373,plain,
    ( sum(n10,sum(n2,n8)) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f11,f4372]) ).

fof(f4374,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f76,f4373]) ).

fof(f4375,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f206,f4374]) ).

fof(f4376,plain,
    ( n4 != sum(sum(pred(n7),succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f437,f4375]) ).

fof(f4377,plain,
    ( n4 != sum(sum(n6,succ(n7)),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f27,f4376]) ).

fof(f4378,plain,
    ( n4 != sum(sum(n6,n8),n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f11,f4377]) ).

fof(f4379,plain,
    ( n4 != sum(n14,n6)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f140,f4378]) ).

fof(f4380,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4379,f266]) ).

fof(f4381,plain,
    ( ~ spl0_7
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f4380]) ).

fof(f4405,plain,
    ( sum(sum(pred(n7),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f437,f1446]) ).

fof(f4406,plain,
    ( sum(sum(n6,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f4405]) ).

fof(f4407,plain,
    ( sum(n14,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f140,f4406]) ).

fof(f4408,plain,
    ( sum(n14,sum(n6,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f437,f4407]) ).

fof(f4409,plain,
    ( sum(n14,sum(n6,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f11,f4408]) ).

fof(f4410,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f140,f4409]) ).

fof(f4411,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f274,f4410]) ).

fof(f4412,plain,
    ( n12 != sum(sum(pred(n7),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f437,f4411]) ).

fof(f4413,plain,
    ( n12 != sum(sum(n6,succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f4412]) ).

fof(f4414,plain,
    ( n12 != sum(sum(n6,succ(n7)),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f437,f4413]) ).

fof(f4415,plain,
    ( n12 != sum(sum(n6,n8),n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f11,f4414]) ).

fof(f4416,plain,
    ( n12 != sum(n14,n14)
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f140,f4415]) ).

fof(f4417,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4416,f274]) ).

fof(f4418,plain,
    ( ~ spl0_7
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f4417]) ).

fof(f4443,plain,
    ( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f428,f1861]) ).

fof(f4444,plain,
    ( sum(sum(pred(n4),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f428,f4443]) ).

fof(f4445,plain,
    ( sum(sum(n3,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f24,f4444]) ).

fof(f4446,plain,
    ( sum(n11,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f92,f4445]) ).

fof(f4447,plain,
    ( sum(n11,sum(n6,succ(n4))) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f428,f4446]) ).

fof(f4448,plain,
    ( sum(n11,sum(n6,n5)) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f8,f4447]) ).

fof(f4449,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f137,f4448]) ).

fof(f4450,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f223,f4449]) ).

fof(f4451,plain,
    ( n6 != sum(sum(pred(n4),succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f428,f4450]) ).

fof(f4452,plain,
    ( n6 != sum(sum(n3,succ(n4)),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f24,f4451]) ).

fof(f4453,plain,
    ( n6 != sum(sum(n3,n5),n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f8,f4452]) ).

fof(f4454,plain,
    ( n6 != sum(n8,n14)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f89,f4453]) ).

fof(f4455,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4454,f178]) ).

fof(f4456,plain,
    ( ~ spl0_4
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f4455]) ).

fof(f4457,plain,
    ( sum(sum(n10,succ(n7)),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f486,f3779]) ).

fof(f4458,plain,
    ( sum(sum(n10,n8),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f11,f4457]) ).

fof(f4459,plain,
    ( sum(n2,sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f204,f4458]) ).

fof(f4460,plain,
    ( sum(n2,sum(pred(n7),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f486,f4459]) ).

fof(f4461,plain,
    ( sum(n2,sum(n6,n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f27,f4460]) ).

fof(f4462,plain,
    ( sum(n2,n2) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f144,f4461]) ).

fof(f4463,plain,
    ( n4 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f70,f4462]) ).

fof(f4464,plain,
    ( n4 != sum(n6,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f486,f4463]) ).

fof(f4465,plain,
    ( n4 != sum(n6,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f27,f4464]) ).

fof(f4466,plain,
    ( n4 != sum(n6,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f486,f4465]) ).

fof(f4467,plain,
    ( n4 != sum(n6,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f11,f4466]) ).

fof(f4468,plain,
    ( n4 != sum(n6,n14)
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f140,f4467]) ).

fof(f4469,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4468,f146]) ).

fof(f4470,plain,
    ( ~ spl0_23
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f4469]) ).

fof(f4500,plain,
    ( sum(sum(pred(n10),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f446,f1446]) ).

fof(f4501,plain,
    ( sum(sum(n9,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f30,f4500]) ).

fof(f4502,plain,
    ( sum(n1,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f188,f4501]) ).

fof(f4503,plain,
    ( sum(n1,sum(n6,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f446,f4502]) ).

fof(f4504,plain,
    ( sum(n1,sum(n6,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f14,f4503]) ).

fof(f4505,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f143,f4504]) ).

fof(f4506,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f53,f4505]) ).

fof(f4507,plain,
    ( n2 != sum(sum(pred(n10),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f446,f4506]) ).

fof(f4508,plain,
    ( n2 != sum(sum(n9,succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f30,f4507]) ).

fof(f4509,plain,
    ( n2 != sum(sum(n9,succ(n10)),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f446,f4508]) ).

fof(f4510,plain,
    ( n2 != sum(sum(n9,n11),n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f14,f4509]) ).

fof(f4511,plain,
    ( n2 != sum(n4,n14)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f191,f4510]) ).

fof(f4512,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4511,f114]) ).

fof(f4513,plain,
    ( ~ spl0_10
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f4512]) ).

fof(f4514,plain,
    ( sum(sum(n7,succ(n7)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f486,f808]) ).

fof(f4515,plain,
    ( sum(sum(n7,n8),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f11,f4514]) ).

fof(f4516,plain,
    ( sum(n15,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f156,f4515]) ).

fof(f4517,plain,
    ( sum(n15,sum(pred(n7),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f486,f4516]) ).

fof(f4518,plain,
    ( sum(n15,sum(n6,n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f27,f4517]) ).

fof(f4519,plain,
    ( sum(n15,n15) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f141,f4518]) ).

fof(f4520,plain,
    ( n14 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f291,f4519]) ).

fof(f4521,plain,
    ( n14 != sum(n0,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f486,f4520]) ).

fof(f4522,plain,
    ( n14 != sum(n0,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f27,f4521]) ).

fof(f4523,plain,
    ( n14 != sum(n0,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f486,f4522]) ).

fof(f4524,plain,
    ( n14 != sum(n0,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f11,f4523]) ).

fof(f4525,plain,
    ( n14 != sum(n0,n14)
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f140,f4524]) ).

fof(f4526,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4525,f50]) ).

fof(f4527,plain,
    ( ~ spl0_23
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f4526]) ).

fof(f4528,plain,
    ( sum(sum(n13,succ(n7)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f486,f2717]) ).

fof(f4529,plain,
    ( sum(sum(n13,n8),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f11,f4528]) ).

fof(f4530,plain,
    ( sum(n5,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f252,f4529]) ).

fof(f4531,plain,
    ( sum(n5,sum(pred(n7),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f486,f4530]) ).

fof(f4532,plain,
    ( sum(n5,sum(n6,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f27,f4531]) ).

fof(f4533,plain,
    ( sum(n5,n5) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f147,f4532]) ).

fof(f4534,plain,
    ( n10 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f121,f4533]) ).

fof(f4535,plain,
    ( n10 != sum(n12,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f486,f4534]) ).

fof(f4536,plain,
    ( n10 != sum(n12,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f27,f4535]) ).

fof(f4537,plain,
    ( n10 != sum(n12,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f486,f4536]) ).

fof(f4538,plain,
    ( n10 != sum(n12,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f11,f4537]) ).

fof(f4539,plain,
    ( n10 != sum(n12,n14)
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f140,f4538]) ).

fof(f4540,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4539,f242]) ).

fof(f4541,plain,
    ( ~ spl0_23
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f4540]) ).

fof(f4542,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f422,f294]) ).

fof(f4543,plain,
    ( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f4542]) ).

fof(f4544,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f4543]) ).

fof(f4545,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f4544]) ).

fof(f4546,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f4545]) ).

fof(f4547,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f4546]) ).

fof(f4548,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f4547]) ).

fof(f4549,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f4548]) ).

fof(f4550,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f4549]) ).

fof(f4581,plain,
    ( sum(sum(n1,succ(n8)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f489,f3349]) ).

fof(f4582,plain,
    ( sum(sum(n1,n9),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f12,f4581]) ).

fof(f4583,plain,
    ( sum(n10,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f61,f4582]) ).

fof(f4584,plain,
    ( sum(n10,sum(pred(n8),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f489,f4583]) ).

fof(f4585,plain,
    ( sum(n10,sum(n7,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f28,f4584]) ).

fof(f4586,plain,
    ( sum(n10,n10) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f151,f4585]) ).

fof(f4587,plain,
    ( n4 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f206,f4586]) ).

fof(f4588,plain,
    ( n4 != sum(n4,sum(pred(n8),succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f489,f4587]) ).

fof(f4589,plain,
    ( n4 != sum(n4,sum(n7,succ(sk0_1)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f28,f4588]) ).

fof(f4590,plain,
    ( n4 != sum(n4,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f489,f4589]) ).

fof(f4591,plain,
    ( n4 != sum(n4,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f12,f4590]) ).

fof(f4592,plain,
    ( n4 != sum(n4,n0)
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f157,f4591]) ).

fof(f4593,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4592,f100]) ).

fof(f4594,plain,
    ( ~ spl0_24
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f4593]) ).

fof(f4595,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f507,f294]) ).

fof(f4596,plain,
    ( sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f4595]) ).

fof(f4597,plain,
    ( sum(sum(pred(sk0_0),n15),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f4596]) ).

fof(f4598,plain,
    ( sum(sum(pred(sk0_0),n15),sum(pred(n14),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f4597]) ).

fof(f4599,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f4598]) ).

fof(f4600,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n14),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f4599]) ).

fof(f4601,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n13,succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f4600]) ).

fof(f4602,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n13,n15))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f4601]) ).

fof(f4603,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f259,f4602]) ).

fof(f4633,plain,
    ( sum(sum(pred(n12),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f452,f2003]) ).

fof(f4634,plain,
    ( sum(sum(n11,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f32,f4633]) ).

fof(f4635,plain,
    ( sum(n10,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f227,f4634]) ).

fof(f4636,plain,
    ( sum(n10,sum(n13,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f452,f4635]) ).

fof(f4637,plain,
    ( sum(n10,sum(n13,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f16,f4636]) ).

fof(f4638,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f257,f4637]) ).

fof(f4639,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f206,f4638]) ).

fof(f4640,plain,
    ( n4 != sum(sum(pred(n12),succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f452,f4639]) ).

fof(f4641,plain,
    ( n4 != sum(sum(n11,succ(sk0_0)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f32,f4640]) ).

fof(f4642,plain,
    ( n4 != sum(sum(n11,succ(n12)),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f452,f4641]) ).

fof(f4643,plain,
    ( n4 != sum(sum(n11,n13),n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f16,f4642]) ).

fof(f4644,plain,
    ( n4 != sum(n8,n12)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f225,f4643]) ).

fof(f4645,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4644,f176]) ).

fof(f4646,plain,
    ( ~ spl0_12
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f4645]) ).

fof(f4647,plain,
    ( sum(sum(pred(n12),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f452,f2055]) ).

fof(f4648,plain,
    ( sum(sum(n11,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f32,f4647]) ).

fof(f4649,plain,
    ( sum(n11,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f212,f4648]) ).

fof(f4650,plain,
    ( sum(n11,sum(n14,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f452,f4649]) ).

fof(f4651,plain,
    ( sum(n11,sum(n14,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f16,f4650]) ).

fof(f4652,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f273,f4651]) ).

fof(f4653,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f223,f4652]) ).

fof(f4654,plain,
    ( n6 != sum(sum(pred(n12),succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f452,f4653]) ).

fof(f4655,plain,
    ( n6 != sum(sum(n11,succ(sk0_0)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f32,f4654]) ).

fof(f4656,plain,
    ( n6 != sum(sum(n11,succ(n12)),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f452,f4655]) ).

fof(f4657,plain,
    ( n6 != sum(sum(n11,n13),n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f16,f4656]) ).

fof(f4658,plain,
    ( n6 != sum(n8,n14)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f225,f4657]) ).

fof(f4659,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4658,f178]) ).

fof(f4660,plain,
    ( ~ spl0_12
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f4659]) ).

fof(f4670,plain,
    ( sum(sum(pred(n12),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f452,f1951]) ).

fof(f4671,plain,
    ( sum(sum(n11,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f32,f4670]) ).

fof(f4672,plain,
    ( sum(n14,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f215,f4671]) ).

fof(f4673,plain,
    ( sum(n14,sum(n1,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f452,f4672]) ).

fof(f4674,plain,
    ( sum(n14,sum(n1,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f16,f4673]) ).

fof(f4675,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f65,f4674]) ).

fof(f4676,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f274,f4675]) ).

fof(f4677,plain,
    ( n12 != sum(sum(pred(n12),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f452,f4676]) ).

fof(f4678,plain,
    ( n12 != sum(sum(n11,succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f32,f4677]) ).

fof(f4679,plain,
    ( n12 != sum(sum(n11,succ(n12)),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f452,f4678]) ).

fof(f4680,plain,
    ( n12 != sum(sum(n11,n13),n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f16,f4679]) ).

fof(f4681,plain,
    ( n12 != sum(n8,n4)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f225,f4680]) ).

fof(f4682,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4681,f168]) ).

fof(f4683,plain,
    ( ~ spl0_12
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f4682]) ).

fof(f4723,plain,
    ( sum(sum(pred(n0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f416,f4128]) ).

fof(f4724,plain,
    ( sum(sum(n15,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f20,f4723]) ).

fof(f4725,plain,
    ( sum(n4,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f281,f4724]) ).

fof(f4726,plain,
    ( sum(n4,sum(n3,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f416,f4725]) ).

fof(f4727,plain,
    ( sum(n4,sum(n3,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f4,f4726]) ).

fof(f4728,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f85,f4727]) ).

fof(f4729,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f104,f4728]) ).

fof(f4730,plain,
    ( n8 != sum(sum(pred(n0),succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f416,f4729]) ).

fof(f4731,plain,
    ( n8 != sum(sum(n15,succ(sk0_0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f20,f4730]) ).

fof(f4732,plain,
    ( n8 != sum(sum(n15,succ(n0)),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f416,f4731]) ).

fof(f4733,plain,
    ( n8 != sum(sum(n15,n1),n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f4,f4732]) ).

fof(f4734,plain,
    ( n8 != sum(n0,n8)
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f277,f4733]) ).

fof(f4735,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4734,f44]) ).

fof(f4736,plain,
    ( ~ spl0_0
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f4735]) ).

fof(f4775,plain,
    ( sum(sum(n6,succ(n11)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f498,f3637]) ).

fof(f4776,plain,
    ( sum(sum(n6,n12),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f15,f4775]) ).

fof(f4777,plain,
    ( sum(n2,sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f144,f4776]) ).

fof(f4778,plain,
    ( sum(n2,sum(pred(n11),n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f498,f4777]) ).

fof(f4779,plain,
    ( sum(n2,sum(n10,n8)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f31,f4778]) ).

fof(f4780,plain,
    ( sum(n2,n2) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f204,f4779]) ).

fof(f4781,plain,
    ( n4 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f70,f4780]) ).

fof(f4782,plain,
    ( n4 != sum(n14,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f498,f4781]) ).

fof(f4783,plain,
    ( n4 != sum(n14,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f31,f4782]) ).

fof(f4784,plain,
    ( n4 != sum(n14,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f498,f4783]) ).

fof(f4785,plain,
    ( n4 != sum(n14,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f15,f4784]) ).

fof(f4786,plain,
    ( n4 != sum(n14,n6)
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f208,f4785]) ).

fof(f4787,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4786,f266]) ).

fof(f4788,plain,
    ( ~ spl0_27
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f4787]) ).

fof(f4803,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f495,f294]) ).

fof(f4804,plain,
    ( sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f4803]) ).

fof(f4805,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f4804]) ).

fof(f4806,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f4805]) ).

fof(f4807,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f4806]) ).

fof(f4808,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n10),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f4807]) ).

fof(f4809,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f4808]) ).

fof(f4810,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,n11))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f4809]) ).

fof(f4811,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f4810]) ).

fof(f4841,plain,
    ( sum(sum(pred(n4),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f428,f4181]) ).

fof(f4842,plain,
    ( sum(sum(n3,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f24,f4841]) ).

fof(f4843,plain,
    ( sum(n14,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f95,f4842]) ).

fof(f4844,plain,
    ( sum(n14,sum(n9,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f428,f4843]) ).

fof(f4845,plain,
    ( sum(n14,sum(n9,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f8,f4844]) ).

fof(f4846,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f185,f4845]) ).

fof(f4847,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f274,f4846]) ).

fof(f4848,plain,
    ( n12 != sum(sum(pred(n4),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f428,f4847]) ).

fof(f4849,plain,
    ( n12 != sum(sum(n3,succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f24,f4848]) ).

fof(f4850,plain,
    ( n12 != sum(sum(n3,succ(n4)),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f428,f4849]) ).

fof(f4851,plain,
    ( n12 != sum(sum(n3,n5),n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f8,f4850]) ).

fof(f4852,plain,
    ( n12 != sum(n8,n4)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f89,f4851]) ).

fof(f4853,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4852,f168]) ).

fof(f4854,plain,
    ( ~ spl0_4
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f4853]) ).

fof(f4855,plain,
    ( sum(sum(pred(n4),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f428,f2092]) ).

fof(f4856,plain,
    ( sum(sum(n3,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f24,f4855]) ).

fof(f4857,plain,
    ( sum(n0,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f97,f4856]) ).

fof(f4858,plain,
    ( sum(n0,sum(n11,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f428,f4857]) ).

fof(f4859,plain,
    ( sum(n0,sum(n11,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f8,f4858]) ).

fof(f4860,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f217,f4859]) ).

fof(f4861,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f36,f4860]) ).

fof(f4862,plain,
    ( n0 != sum(sum(pred(n4),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f428,f4861]) ).

fof(f4863,plain,
    ( n0 != sum(sum(n3,succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f24,f4862]) ).

fof(f4864,plain,
    ( n0 != sum(sum(n3,succ(n4)),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f428,f4863]) ).

fof(f4865,plain,
    ( n0 != sum(sum(n3,n5),n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f8,f4864]) ).

fof(f4866,plain,
    ( n0 != sum(n8,n8)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f89,f4865]) ).

fof(f4867,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4866,f172]) ).

fof(f4868,plain,
    ( ~ spl0_4
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f4867]) ).

fof(f4878,plain,
    ( sum(sum(pred(n4),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f428,f4354]) ).

fof(f4879,plain,
    ( sum(sum(n3,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f24,f4878]) ).

fof(f4880,plain,
    ( sum(n7,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f88,f4879]) ).

fof(f4881,plain,
    ( sum(n7,sum(n2,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f428,f4880]) ).

fof(f4882,plain,
    ( sum(n7,sum(n2,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f8,f4881]) ).

fof(f4883,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f73,f4882]) ).

fof(f4884,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f155,f4883]) ).

fof(f4885,plain,
    ( n14 != sum(sum(pred(n4),succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f428,f4884]) ).

fof(f4886,plain,
    ( n14 != sum(sum(n3,succ(sk0_0)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f24,f4885]) ).

fof(f4887,plain,
    ( n14 != sum(sum(n3,succ(n4)),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f428,f4886]) ).

fof(f4888,plain,
    ( n14 != sum(sum(n3,n5),n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f8,f4887]) ).

fof(f4889,plain,
    ( n14 != sum(n8,n6)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f89,f4888]) ).

fof(f4890,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4889,f170]) ).

fof(f4891,plain,
    ( ~ spl0_4
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f4890]) ).

fof(f4892,plain,
    ( sum(sum(pred(n4),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f428,f1809]) ).

fof(f4893,plain,
    ( sum(sum(n3,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f24,f4892]) ).

fof(f4894,plain,
    ( sum(n5,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f86,f4893]) ).

fof(f4895,plain,
    ( sum(n5,sum(n0,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f428,f4894]) ).

fof(f4896,plain,
    ( sum(n5,sum(n0,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f8,f4895]) ).

fof(f4897,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f41,f4896]) ).

fof(f4898,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f121,f4897]) ).

fof(f4899,plain,
    ( n10 != sum(sum(pred(n4),succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f428,f4898]) ).

fof(f4900,plain,
    ( n10 != sum(sum(n3,succ(sk0_0)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f24,f4899]) ).

fof(f4901,plain,
    ( n10 != sum(sum(n3,succ(n4)),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f428,f4900]) ).

fof(f4902,plain,
    ( n10 != sum(sum(n3,n5),n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f8,f4901]) ).

fof(f4903,plain,
    ( n10 != sum(n8,n2)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f89,f4902]) ).

fof(f4904,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4903,f166]) ).

fof(f4905,plain,
    ( ~ spl0_4
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f4904]) ).

fof(f4906,plain,
    ( sum(sum(pred(n4),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f428,f2874]) ).

fof(f4907,plain,
    ( sum(sum(n3,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f24,f4906]) ).

fof(f4908,plain,
    ( sum(n10,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f91,f4907]) ).

fof(f4909,plain,
    ( sum(n10,sum(n5,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f428,f4908]) ).

fof(f4910,plain,
    ( sum(n10,sum(n5,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f8,f4909]) ).

fof(f4911,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f121,f4910]) ).

fof(f4912,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f206,f4911]) ).

fof(f4913,plain,
    ( n4 != sum(sum(pred(n4),succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f428,f4912]) ).

fof(f4914,plain,
    ( n4 != sum(sum(n3,succ(sk0_0)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f24,f4913]) ).

fof(f4915,plain,
    ( n4 != sum(sum(n3,succ(n4)),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f428,f4914]) ).

fof(f4916,plain,
    ( n4 != sum(sum(n3,n5),n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f8,f4915]) ).

fof(f4917,plain,
    ( n4 != sum(n8,n12)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f89,f4916]) ).

fof(f4918,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4917,f176]) ).

fof(f4919,plain,
    ( ~ spl0_4
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f4918]) ).

fof(f4920,plain,
    ( sum(sum(pred(n4),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f428,f1744]) ).

fof(f4921,plain,
    ( sum(sum(n3,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f24,f4920]) ).

fof(f4922,plain,
    ( sum(n6,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f87,f4921]) ).

fof(f4923,plain,
    ( sum(n6,sum(n1,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f428,f4922]) ).

fof(f4924,plain,
    ( sum(n6,sum(n1,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f8,f4923]) ).

fof(f4925,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f57,f4924]) ).

fof(f4926,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f138,f4925]) ).

fof(f4927,plain,
    ( n12 != sum(sum(pred(n4),succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f428,f4926]) ).

fof(f4928,plain,
    ( n12 != sum(sum(n3,succ(sk0_0)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f24,f4927]) ).

fof(f4929,plain,
    ( n12 != sum(sum(n3,succ(n4)),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f428,f4928]) ).

fof(f4930,plain,
    ( n12 != sum(sum(n3,n5),n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f8,f4929]) ).

fof(f4931,plain,
    ( n12 != sum(n8,n4)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f89,f4930]) ).

fof(f4932,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4931,f168]) ).

fof(f4933,plain,
    ( ~ spl0_4
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f4932]) ).

fof(f4935,plain,
    ( sum(sum(pred(n4),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f428,f2144]) ).

fof(f4936,plain,
    ( sum(sum(n3,n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f24,f4935]) ).

fof(f4937,plain,
    ( sum(n1,sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f98,f4936]) ).

fof(f4938,plain,
    ( sum(n1,sum(n12,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f428,f4937]) ).

fof(f4939,plain,
    ( sum(n1,sum(n12,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f8,f4938]) ).

fof(f4940,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f233,f4939]) ).

fof(f4941,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f53,f4940]) ).

fof(f4942,plain,
    ( n2 != sum(sum(pred(n4),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f428,f4941]) ).

fof(f4943,plain,
    ( n2 != sum(sum(n3,succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f24,f4942]) ).

fof(f4944,plain,
    ( n2 != sum(sum(n3,succ(n4)),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f428,f4943]) ).

fof(f4945,plain,
    ( n2 != sum(sum(n3,n5),n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f8,f4944]) ).

fof(f4946,plain,
    ( n2 != sum(n8,n10)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f89,f4945]) ).

fof(f4947,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4946,f174]) ).

fof(f4948,plain,
    ( ~ spl0_4
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f4947]) ).

fof(f4949,plain,
    ( sum(sum(pred(n4),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f428,f1692]) ).

fof(f4950,plain,
    ( sum(sum(n3,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f24,f4949]) ).

fof(f4951,plain,
    ( sum(n9,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f90,f4950]) ).

fof(f4952,plain,
    ( sum(n9,sum(n4,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f428,f4951]) ).

fof(f4953,plain,
    ( sum(n9,sum(n4,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f8,f4952]) ).

fof(f4954,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f105,f4953]) ).

fof(f4955,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f189,f4954]) ).

fof(f4956,plain,
    ( n2 != sum(sum(pred(n4),succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f428,f4955]) ).

fof(f4957,plain,
    ( n2 != sum(sum(n3,succ(sk0_0)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f24,f4956]) ).

fof(f4958,plain,
    ( n2 != sum(sum(n3,succ(n4)),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f428,f4957]) ).

fof(f4959,plain,
    ( n2 != sum(sum(n3,n5),n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f8,f4958]) ).

fof(f4960,plain,
    ( n2 != sum(n8,n10)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f89,f4959]) ).

fof(f4961,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4960,f174]) ).

fof(f4962,plain,
    ( ~ spl0_4
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f4961]) ).

fof(f4963,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f449,f294]) ).

fof(f4964,plain,
    ( sum(sum(pred(n11),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f449,f4963]) ).

fof(f4965,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f4964]) ).

fof(f4966,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(n11))) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f449,f4965]) ).

fof(f4967,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(pred(sk0_0),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f15,f4966]) ).

fof(f4968,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(pred(n11),succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f449,f4967]) ).

fof(f4969,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(n10,succ(n11)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f4968]) ).

fof(f4970,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(sum(n10,n12),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f15,f4969]) ).

fof(f4971,plain,
    ( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f208,f4970]) ).

fof(f5000,plain,
    ( sum(sum(n10,succ(n11)),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f498,f3779]) ).

fof(f5001,plain,
    ( sum(sum(n10,n12),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f15,f5000]) ).

fof(f5002,plain,
    ( sum(n6,sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f208,f5001]) ).

fof(f5003,plain,
    ( sum(n6,sum(pred(n11),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f498,f5002]) ).

fof(f5004,plain,
    ( sum(n6,sum(n10,n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f5003]) ).

fof(f5005,plain,
    ( sum(n6,n6) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f208,f5004]) ).

fof(f5006,plain,
    ( n12 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f138,f5005]) ).

fof(f5007,plain,
    ( n12 != sum(n6,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f498,f5006]) ).

fof(f5008,plain,
    ( n12 != sum(n6,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f5007]) ).

fof(f5009,plain,
    ( n12 != sum(n6,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f498,f5008]) ).

fof(f5010,plain,
    ( n12 != sum(n6,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f15,f5009]) ).

fof(f5011,plain,
    ( n12 != sum(n6,n6)
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f208,f5010]) ).

fof(f5012,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5011,f138]) ).

fof(f5013,plain,
    ( ~ spl0_27
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f5012]) ).

fof(f5044,plain,
    ( sum(sum(pred(n10),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f446,f1343]) ).

fof(f5045,plain,
    ( sum(sum(n9,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f30,f5044]) ).

fof(f5046,plain,
    ( sum(n15,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f186,f5045]) ).

fof(f5047,plain,
    ( sum(n15,sum(n4,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f446,f5046]) ).

fof(f5048,plain,
    ( sum(n15,sum(n4,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f14,f5047]) ).

fof(f5049,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f111,f5048]) ).

fof(f5050,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f291,f5049]) ).

fof(f5051,plain,
    ( n14 != sum(sum(pred(n10),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f446,f5050]) ).

fof(f5052,plain,
    ( n14 != sum(sum(n9,succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f30,f5051]) ).

fof(f5053,plain,
    ( n14 != sum(sum(n9,succ(n10)),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f446,f5052]) ).

fof(f5054,plain,
    ( n14 != sum(sum(n9,n11),n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f14,f5053]) ).

fof(f5055,plain,
    ( n14 != sum(n4,n10)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f191,f5054]) ).

fof(f5056,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5055,f110]) ).

fof(f5057,plain,
    ( ~ spl0_10
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f5056]) ).

fof(f5058,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f465,f294]) ).

fof(f5059,plain,
    ( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f5058]) ).

fof(f5060,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f5059]) ).

fof(f5061,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f5060]) ).

fof(f5062,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f5061]) ).

fof(f5063,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f5062]) ).

fof(f5064,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f5063]) ).

fof(f5065,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,n1))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f5064]) ).

fof(f5066,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f5065]) ).

fof(f5096,plain,
    ( sum(sum(pred(n8),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f440,f3289]) ).

fof(f5097,plain,
    ( sum(sum(n7,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f28,f5096]) ).

fof(f5098,plain,
    ( sum(n8,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f149,f5097]) ).

fof(f5099,plain,
    ( sum(n8,sum(n15,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f440,f5098]) ).

fof(f5100,plain,
    ( sum(n8,sum(n15,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f12,f5099]) ).

fof(f5101,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f285,f5100]) ).

fof(f5102,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f172,f5101]) ).

fof(f5103,plain,
    ( n0 != sum(sum(pred(n8),succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f440,f5102]) ).

fof(f5104,plain,
    ( n0 != sum(sum(n7,succ(sk0_0)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f28,f5103]) ).

fof(f5105,plain,
    ( n0 != sum(sum(n7,succ(n8)),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f440,f5104]) ).

fof(f5106,plain,
    ( n0 != sum(sum(n7,n9),n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f12,f5105]) ).

fof(f5107,plain,
    ( n0 != sum(n0,n0)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f157,f5106]) ).

fof(f5108,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5107,f36]) ).

fof(f5109,plain,
    ( ~ spl0_8
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f5108]) ).

fof(f5110,plain,
    ( sum(sum(pred(n8),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f294]) ).

fof(f5111,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f5110]) ).

fof(f5112,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f5111]) ).

fof(f5113,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f12,f5112]) ).

fof(f5114,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(n8),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f5113]) ).

fof(f5115,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f5114]) ).

fof(f5116,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f440,f5115]) ).

fof(f5117,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,n9),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f12,f5116]) ).

fof(f5118,plain,
    ( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f157,f5117]) ).

fof(f5119,plain,
    ( sum(sum(pred(n8),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f440,f4603]) ).

fof(f5120,plain,
    ( sum(sum(n7,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f28,f5119]) ).

fof(f5121,plain,
    ( sum(n6,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f163,f5120]) ).

fof(f5122,plain,
    ( sum(n6,sum(n13,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f440,f5121]) ).

fof(f5123,plain,
    ( sum(n6,sum(n13,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f12,f5122]) ).

fof(f5124,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f253,f5123]) ).

fof(f5125,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f138,f5124]) ).

fof(f5126,plain,
    ( n12 != sum(sum(pred(n8),succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f440,f5125]) ).

fof(f5127,plain,
    ( n12 != sum(sum(n7,succ(sk0_0)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f28,f5126]) ).

fof(f5128,plain,
    ( n12 != sum(sum(n7,succ(n8)),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f440,f5127]) ).

fof(f5129,plain,
    ( n12 != sum(sum(n7,n9),n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f12,f5128]) ).

fof(f5130,plain,
    ( n12 != sum(n0,n12)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f157,f5129]) ).

fof(f5131,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5130,f48]) ).

fof(f5132,plain,
    ( ~ spl0_8
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f5131]) ).

fof(f5133,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f510,f294]) ).

fof(f5134,plain,
    ( sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f5133]) ).

fof(f5135,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f5134]) ).

fof(f5136,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(n15),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f5135]) ).

fof(f5137,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f5136]) ).

fof(f5138,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n15),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f5137]) ).

fof(f5139,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f5138]) ).

fof(f5140,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,n0))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f5139]) ).

fof(f5141,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f5140]) ).

fof(f5171,plain,
    ( sum(sum(pred(n14),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f458,f2055]) ).

fof(f5172,plain,
    ( sum(sum(n13,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f34,f5171]) ).

fof(f5173,plain,
    ( sum(n13,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f244,f5172]) ).

fof(f5174,plain,
    ( sum(n13,sum(n14,succ(n14))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f458,f5173]) ).

fof(f5175,plain,
    ( sum(n13,sum(n14,n15)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f18,f5174]) ).

fof(f5176,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f275,f5175]) ).

fof(f5177,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f257,f5176]) ).

fof(f5178,plain,
    ( n10 != sum(sum(pred(n14),succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f458,f5177]) ).

fof(f5179,plain,
    ( n10 != sum(sum(n13,succ(sk0_0)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f34,f5178]) ).

fof(f5180,plain,
    ( n10 != sum(sum(n13,succ(n14)),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f458,f5179]) ).

fof(f5181,plain,
    ( n10 != sum(sum(n13,n15),n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f18,f5180]) ).

fof(f5182,plain,
    ( n10 != sum(n12,n14)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f259,f5181]) ).

fof(f5183,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5182,f242]) ).

fof(f5184,plain,
    ( ~ spl0_14
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f5183]) ).

fof(f5185,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f474,f294]) ).

fof(f5186,plain,
    ( sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f5185]) ).

fof(f5187,plain,
    ( sum(sum(pred(sk0_0),n4),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f7,f5186]) ).

fof(f5188,plain,
    ( sum(sum(pred(sk0_0),n4),sum(pred(n3),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f5187]) ).

fof(f5189,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f23,f5188]) ).

fof(f5190,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n3),succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f474,f5189]) ).

fof(f5191,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,succ(n3)))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f23,f5190]) ).

fof(f5192,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,n4))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f7,f5191]) ).

fof(f5193,plain,
    ( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f72,f5192]) ).

fof(f5223,plain,
    ( sum(sum(pred(n8),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f440,f1898]) ).

fof(f5224,plain,
    ( sum(sum(n7,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f28,f5223]) ).

fof(f5225,plain,
    ( sum(n11,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f152,f5224]) ).

fof(f5226,plain,
    ( sum(n11,sum(n2,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f440,f5225]) ).

fof(f5227,plain,
    ( sum(n11,sum(n2,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f12,f5226]) ).

fof(f5228,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f77,f5227]) ).

fof(f5229,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f223,f5228]) ).

fof(f5230,plain,
    ( n6 != sum(sum(pred(n8),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f440,f5229]) ).

fof(f5231,plain,
    ( n6 != sum(sum(n7,succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f28,f5230]) ).

fof(f5232,plain,
    ( n6 != sum(sum(n7,succ(n8)),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f440,f5231]) ).

fof(f5233,plain,
    ( n6 != sum(sum(n7,n9),n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f12,f5232]) ).

fof(f5234,plain,
    ( n6 != sum(n0,n6)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f157,f5233]) ).

fof(f5235,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5234,f42]) ).

fof(f5236,plain,
    ( ~ spl0_8
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f5235]) ).

fof(f5261,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f458,f3401]) ).

fof(f5262,plain,
    ( sum(sum(pred(n14),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f458,f5261]) ).

fof(f5263,plain,
    ( sum(sum(n13,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f34,f5262]) ).

fof(f5264,plain,
    ( sum(n2,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f249,f5263]) ).

fof(f5265,plain,
    ( sum(n2,sum(n3,succ(n14))) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f458,f5264]) ).

fof(f5266,plain,
    ( sum(n2,sum(n3,n15)) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f18,f5265]) ).

fof(f5267,plain,
    ( sum(n2,n2) != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f99,f5266]) ).

fof(f5268,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f70,f5267]) ).

fof(f5269,plain,
    ( n4 != sum(sum(pred(n14),succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f458,f5268]) ).

fof(f5270,plain,
    ( n4 != sum(sum(n13,succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f34,f5269]) ).

fof(f5271,plain,
    ( n4 != sum(sum(n13,n15),n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f18,f5270]) ).

fof(f5272,plain,
    ( n4 != sum(n12,n8)
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f259,f5271]) ).

fof(f5273,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5272,f236]) ).

fof(f5274,plain,
    ( ~ spl0_14
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f5273]) ).

fof(f5275,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f422,f294]) ).

fof(f5276,plain,
    ( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f5275]) ).

fof(f5277,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f5276]) ).

fof(f5278,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f5277]) ).

fof(f5279,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f5278]) ).

fof(f5280,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f422,f5279]) ).

fof(f5281,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f5280]) ).

fof(f5282,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f5281]) ).

fof(f5283,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f5282]) ).

fof(f5313,plain,
    ( sum(sum(n1,succ(n6)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f483,f2821]) ).

fof(f5314,plain,
    ( sum(sum(n1,n7),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f10,f5313]) ).

fof(f5315,plain,
    ( sum(n8,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f59,f5314]) ).

fof(f5316,plain,
    ( sum(n8,sum(pred(n6),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f483,f5315]) ).

fof(f5317,plain,
    ( sum(n8,sum(n5,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f26,f5316]) ).

fof(f5318,plain,
    ( sum(n8,n8) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f119,f5317]) ).

fof(f5319,plain,
    ( n0 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f172,f5318]) ).

fof(f5320,plain,
    ( n0 != sum(n4,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f483,f5319]) ).

fof(f5321,plain,
    ( n0 != sum(n4,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f26,f5320]) ).

fof(f5322,plain,
    ( n0 != sum(n4,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f483,f5321]) ).

fof(f5323,plain,
    ( n0 != sum(n4,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f10,f5322]) ).

fof(f5324,plain,
    ( n0 != sum(n4,n12)
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f123,f5323]) ).

fof(f5325,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5324,f112]) ).

fof(f5326,plain,
    ( ~ spl0_22
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f5325]) ).

fof(f5327,plain,
    ( sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f294]) ).

fof(f5328,plain,
    ( sum(sum(pred(sk0_0),n7),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f10,f5327]) ).

fof(f5329,plain,
    ( sum(sum(pred(sk0_0),n7),sum(pred(n6),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f5328]) ).

fof(f5330,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f5329]) ).

fof(f5331,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f5330]) ).

fof(f5332,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,succ(sk0_1)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f5331]) ).

fof(f5333,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,succ(n6)))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f483,f5332]) ).

fof(f5334,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,n7))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f10,f5333]) ).

fof(f5335,plain,
    ( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f123,f5334]) ).

fof(f5336,plain,
    ( sum(sum(n7,succ(n6)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f483,f808]) ).

fof(f5337,plain,
    ( sum(sum(n7,n7),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f10,f5336]) ).

fof(f5338,plain,
    ( sum(n14,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f155,f5337]) ).

fof(f5339,plain,
    ( sum(n14,sum(pred(n6),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f483,f5338]) ).

fof(f5340,plain,
    ( sum(n14,sum(n5,n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f26,f5339]) ).

fof(f5341,plain,
    ( sum(n14,n14) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f125,f5340]) ).

fof(f5342,plain,
    ( n12 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f274,f5341]) ).

fof(f5343,plain,
    ( n12 != sum(n0,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f483,f5342]) ).

fof(f5344,plain,
    ( n12 != sum(n0,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f26,f5343]) ).

fof(f5345,plain,
    ( n12 != sum(n0,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f483,f5344]) ).

fof(f5346,plain,
    ( n12 != sum(n0,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f10,f5345]) ).

fof(f5347,plain,
    ( n12 != sum(n0,n12)
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f123,f5346]) ).

fof(f5348,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5347,f48]) ).

fof(f5349,plain,
    ( ~ spl0_22
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f5348]) ).

fof(f5389,plain,
    ( sum(sum(n7,succ(n2)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f471,f5118]) ).

fof(f5390,plain,
    ( sum(sum(n7,n3),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f6,f5389]) ).

fof(f5391,plain,
    ( sum(n10,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f151,f5390]) ).

fof(f5392,plain,
    ( sum(n10,sum(pred(n2),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f471,f5391]) ).

fof(f5393,plain,
    ( sum(n10,sum(n1,n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f22,f5392]) ).

fof(f5394,plain,
    ( sum(n10,n10) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f61,f5393]) ).

fof(f5395,plain,
    ( n4 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f206,f5394]) ).

fof(f5396,plain,
    ( n4 != sum(n0,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f471,f5395]) ).

fof(f5397,plain,
    ( n4 != sum(n0,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f22,f5396]) ).

fof(f5398,plain,
    ( n4 != sum(n0,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f471,f5397]) ).

fof(f5399,plain,
    ( n4 != sum(n0,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f6,f5398]) ).

fof(f5400,plain,
    ( n4 != sum(n0,n4)
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f55,f5399]) ).

fof(f5401,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5400,f40]) ).

fof(f5402,plain,
    ( ~ spl0_18
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f5401]) ).

fof(f5417,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f468,f294]) ).

fof(f5418,plain,
    ( sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f5417]) ).

fof(f5419,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f5418]) ).

fof(f5420,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(n1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f5419]) ).

fof(f5421,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f5420]) ).

fof(f5422,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f5421]) ).

fof(f5423,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f5422]) ).

fof(f5424,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,n2))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f5423]) ).

fof(f5425,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f5424]) ).

fof(f5455,plain,
    ( sum(sum(pred(n14),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f458,f3454]) ).

fof(f5456,plain,
    ( sum(sum(n13,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f34,f5455]) ).

fof(f5457,plain,
    ( sum(n15,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f246,f5456]) ).

fof(f5458,plain,
    ( sum(n15,sum(n0,succ(n14))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f458,f5457]) ).

fof(f5459,plain,
    ( sum(n15,sum(n0,n15)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f18,f5458]) ).

fof(f5460,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f51,f5459]) ).

fof(f5461,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f291,f5460]) ).

fof(f5462,plain,
    ( n14 != sum(sum(pred(n14),succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f458,f5461]) ).

fof(f5463,plain,
    ( n14 != sum(sum(n13,succ(sk0_0)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f34,f5462]) ).

fof(f5464,plain,
    ( n14 != sum(sum(n13,succ(n14)),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f458,f5463]) ).

fof(f5465,plain,
    ( n14 != sum(sum(n13,n15),n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f18,f5464]) ).

fof(f5466,plain,
    ( n14 != sum(n12,n2)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f259,f5465]) ).

fof(f5467,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5466,f230]) ).

fof(f5468,plain,
    ( ~ spl0_14
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f5467]) ).

fof(f5491,plain,
    ( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f504,f2510]) ).

fof(f5492,plain,
    ( sum(sum(n6,succ(n13)),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f504,f5491]) ).

fof(f5493,plain,
    ( sum(sum(n6,n14),sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f17,f5492]) ).

fof(f5494,plain,
    ( sum(n4,sum(pred(sk0_1),n8)) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f146,f5493]) ).

fof(f5495,plain,
    ( sum(n4,sum(pred(n13),n8)) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f504,f5494]) ).

fof(f5496,plain,
    ( sum(n4,sum(n12,n8)) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f33,f5495]) ).

fof(f5497,plain,
    ( sum(n4,n4) != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f236,f5496]) ).

fof(f5498,plain,
    ( n8 != sum(n14,sum(pred(sk0_1),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f104,f5497]) ).

fof(f5499,plain,
    ( n8 != sum(n14,sum(pred(n13),succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f504,f5498]) ).

fof(f5500,plain,
    ( n8 != sum(n14,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f33,f5499]) ).

fof(f5501,plain,
    ( n8 != sum(n14,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f17,f5500]) ).

fof(f5502,plain,
    ( n8 != sum(n14,n10)
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f242,f5501]) ).

fof(f5503,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5502,f270]) ).

fof(f5504,plain,
    ( ~ spl0_29
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f5503]) ).

fof(f5520,plain,
    ( sum(sum(n14,succ(n13)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f504,f4025]) ).

fof(f5521,plain,
    ( sum(sum(n14,n14),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f17,f5520]) ).

fof(f5522,plain,
    ( sum(n12,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f274,f5521]) ).

fof(f5523,plain,
    ( sum(n12,sum(pred(n13),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f504,f5522]) ).

fof(f5524,plain,
    ( sum(n12,sum(n12,n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f33,f5523]) ).

fof(f5525,plain,
    ( sum(n12,n12) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f228,f5524]) ).

fof(f5526,plain,
    ( n8 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f240,f5525]) ).

fof(f5527,plain,
    ( n8 != sum(n14,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f504,f5526]) ).

fof(f5528,plain,
    ( n8 != sum(n14,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f33,f5527]) ).

fof(f5529,plain,
    ( n8 != sum(n14,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f504,f5528]) ).

fof(f5530,plain,
    ( n8 != sum(n14,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f17,f5529]) ).

fof(f5531,plain,
    ( n8 != sum(n14,n10)
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f242,f5530]) ).

fof(f5532,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5531,f270]) ).

fof(f5533,plain,
    ( ~ spl0_29
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f5532]) ).

fof(f5543,plain,
    ( sum(sum(n11,succ(n13)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f504,f3921]) ).

fof(f5544,plain,
    ( sum(sum(n11,n14),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f17,f5543]) ).

fof(f5545,plain,
    ( sum(n9,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f226,f5544]) ).

fof(f5546,plain,
    ( sum(n9,sum(pred(n13),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f504,f5545]) ).

fof(f5547,plain,
    ( sum(n9,sum(n12,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f33,f5546]) ).

fof(f5548,plain,
    ( sum(n9,n9) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f241,f5547]) ).

fof(f5549,plain,
    ( n2 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f189,f5548]) ).

fof(f5550,plain,
    ( n2 != sum(n8,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f504,f5549]) ).

fof(f5551,plain,
    ( n2 != sum(n8,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f33,f5550]) ).

fof(f5552,plain,
    ( n2 != sum(n8,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f504,f5551]) ).

fof(f5553,plain,
    ( n2 != sum(n8,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f17,f5552]) ).

fof(f5554,plain,
    ( n2 != sum(n8,n10)
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f242,f5553]) ).

fof(f5555,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5554,f174]) ).

fof(f5556,plain,
    ( ~ spl0_29
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f5555]) ).

fof(f5557,plain,
    ( sum(sum(n13,succ(n13)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f504,f3973]) ).

fof(f5558,plain,
    ( sum(sum(n13,n14),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f17,f5557]) ).

fof(f5559,plain,
    ( sum(n11,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f258,f5558]) ).

fof(f5560,plain,
    ( sum(n11,sum(pred(n13),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f504,f5559]) ).

fof(f5561,plain,
    ( sum(n11,sum(n12,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f33,f5560]) ).

fof(f5562,plain,
    ( sum(n11,n11) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f243,f5561]) ).

fof(f5563,plain,
    ( n6 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f223,f5562]) ).

fof(f5564,plain,
    ( n6 != sum(n12,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f504,f5563]) ).

fof(f5565,plain,
    ( n6 != sum(n12,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f33,f5564]) ).

fof(f5566,plain,
    ( n6 != sum(n12,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f504,f5565]) ).

fof(f5567,plain,
    ( n6 != sum(n12,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f17,f5566]) ).

fof(f5568,plain,
    ( n6 != sum(n12,n10)
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f242,f5567]) ).

fof(f5569,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5568,f238]) ).

fof(f5570,plain,
    ( ~ spl0_29
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f5569]) ).

fof(f5571,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f501,f294]) ).

fof(f5572,plain,
    ( sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f5571]) ).

fof(f5573,plain,
    ( sum(sum(pred(sk0_0),n13),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f5572]) ).

fof(f5574,plain,
    ( sum(sum(pred(sk0_0),n13),sum(pred(n12),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f5573]) ).

fof(f5575,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f5574]) ).

fof(f5576,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n12),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f5575]) ).

fof(f5577,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n11,succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f5576]) ).

fof(f5578,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n11,n13))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f5577]) ).

fof(f5579,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f225,f5578]) ).

fof(f5610,plain,
    ( sum(sum(pred(n8),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f440,f2092]) ).

fof(f5611,plain,
    ( sum(sum(n7,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f28,f5610]) ).

fof(f5612,plain,
    ( sum(n4,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f161,f5611]) ).

fof(f5613,plain,
    ( sum(n4,sum(n11,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f440,f5612]) ).

fof(f5614,plain,
    ( sum(n4,sum(n11,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f12,f5613]) ).

fof(f5615,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f221,f5614]) ).

fof(f5616,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f104,f5615]) ).

fof(f5617,plain,
    ( n8 != sum(sum(pred(n8),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f440,f5616]) ).

fof(f5618,plain,
    ( n8 != sum(sum(n7,succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f28,f5617]) ).

fof(f5619,plain,
    ( n8 != sum(sum(n7,succ(n8)),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f440,f5618]) ).

fof(f5620,plain,
    ( n8 != sum(sum(n7,n9),n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f12,f5619]) ).

fof(f5621,plain,
    ( n8 != sum(n0,n8)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f157,f5620]) ).

fof(f5622,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5621,f44]) ).

fof(f5623,plain,
    ( ~ spl0_8
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f5622]) ).

fof(f5633,plain,
    ( sum(sum(pred(n8),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f440,f2927]) ).

fof(f5634,plain,
    ( sum(sum(n7,n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f28,f5633]) ).

fof(f5635,plain,
    ( sum(n3,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f160,f5634]) ).

fof(f5636,plain,
    ( sum(n3,sum(n10,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f440,f5635]) ).

fof(f5637,plain,
    ( sum(n3,sum(n10,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f12,f5636]) ).

fof(f5638,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f205,f5637]) ).

fof(f5639,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f87,f5638]) ).

fof(f5640,plain,
    ( n6 != sum(sum(pred(n8),succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f440,f5639]) ).

fof(f5641,plain,
    ( n6 != sum(sum(n7,succ(sk0_0)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f28,f5640]) ).

fof(f5642,plain,
    ( n6 != sum(sum(n7,succ(n8)),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f440,f5641]) ).

fof(f5643,plain,
    ( n6 != sum(sum(n7,n9),n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f12,f5642]) ).

fof(f5644,plain,
    ( n6 != sum(n0,n6)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f157,f5643]) ).

fof(f5645,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5644,f42]) ).

fof(f5646,plain,
    ( ~ spl0_8
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f5645]) ).

fof(f5647,plain,
    ( sum(sum(pred(n8),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f440,f2220]) ).

fof(f5648,plain,
    ( sum(sum(n7,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f28,f5647]) ).

fof(f5649,plain,
    ( sum(n2,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f159,f5648]) ).

fof(f5650,plain,
    ( sum(n2,sum(n9,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f440,f5649]) ).

fof(f5651,plain,
    ( sum(n2,sum(n9,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f12,f5650]) ).

fof(f5652,plain,
    ( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f189,f5651]) ).

fof(f5653,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f70,f5652]) ).

fof(f5654,plain,
    ( n4 != sum(sum(pred(n8),succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f440,f5653]) ).

fof(f5655,plain,
    ( n4 != sum(sum(n7,succ(sk0_0)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f28,f5654]) ).

fof(f5656,plain,
    ( n4 != sum(sum(n7,succ(n8)),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f440,f5655]) ).

fof(f5657,plain,
    ( n4 != sum(sum(n7,n9),n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f12,f5656]) ).

fof(f5658,plain,
    ( n4 != sum(n0,n4)
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f157,f5657]) ).

fof(f5659,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5658,f40]) ).

fof(f5660,plain,
    ( ~ spl0_8
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f5659]) ).

fof(f5661,plain,
    ( sum(sum(pred(n8),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f440,f2347]) ).

fof(f5662,plain,
    ( sum(sum(n7,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f28,f5661]) ).

fof(f5663,plain,
    ( sum(n1,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f158,f5662]) ).

fof(f5664,plain,
    ( sum(n1,sum(n8,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f440,f5663]) ).

fof(f5665,plain,
    ( sum(n1,sum(n8,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f12,f5664]) ).

fof(f5666,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f173,f5665]) ).

fof(f5667,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f53,f5666]) ).

fof(f5668,plain,
    ( n2 != sum(sum(pred(n8),succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f440,f5667]) ).

fof(f5669,plain,
    ( n2 != sum(sum(n7,succ(sk0_0)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f28,f5668]) ).

fof(f5670,plain,
    ( n2 != sum(sum(n7,succ(n8)),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f440,f5669]) ).

fof(f5671,plain,
    ( n2 != sum(sum(n7,n9),n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f12,f5670]) ).

fof(f5672,plain,
    ( n2 != sum(n0,n2)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f157,f5671]) ).

fof(f5673,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5672,f38]) ).

fof(f5674,plain,
    ( ~ spl0_8
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f5673]) ).

fof(f5713,plain,
    ( sum(sum(n8,succ(n7)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f486,f2296]) ).

fof(f5714,plain,
    ( sum(sum(n8,n8),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f11,f5713]) ).

fof(f5715,plain,
    ( sum(n0,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f172,f5714]) ).

fof(f5716,plain,
    ( sum(n0,sum(pred(n7),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f486,f5715]) ).

fof(f5717,plain,
    ( sum(n0,sum(n6,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f27,f5716]) ).

fof(f5718,plain,
    ( sum(n0,n0) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f142,f5717]) ).

fof(f5719,plain,
    ( n0 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f36,f5718]) ).

fof(f5720,plain,
    ( n0 != sum(n2,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f486,f5719]) ).

fof(f5721,plain,
    ( n0 != sum(n2,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f27,f5720]) ).

fof(f5722,plain,
    ( n0 != sum(n2,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f486,f5721]) ).

fof(f5723,plain,
    ( n0 != sum(n2,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f11,f5722]) ).

fof(f5724,plain,
    ( n0 != sum(n2,n14)
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f140,f5723]) ).

fof(f5725,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5724,f82]) ).

fof(f5726,plain,
    ( ~ spl0_23
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f5725]) ).

fof(f5727,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f446,f294]) ).

fof(f5728,plain,
    ( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f5727]) ).

fof(f5729,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f5728]) ).

fof(f5730,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f5729]) ).

fof(f5731,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f5730]) ).

fof(f5732,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f5731]) ).

fof(f5733,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f5732]) ).

fof(f5734,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,n11),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f5733]) ).

fof(f5735,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f191,f5734]) ).

fof(f5766,plain,
    ( sum(sum(pred(n10),n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f446,f2144]) ).

fof(f5767,plain,
    ( sum(sum(n9,n14),sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f30,f5766]) ).

fof(f5768,plain,
    ( sum(n7,sum(n12,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f194,f5767]) ).

fof(f5769,plain,
    ( sum(n7,sum(n12,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f446,f5768]) ).

fof(f5770,plain,
    ( sum(n7,sum(n12,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f14,f5769]) ).

fof(f5771,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f239,f5770]) ).

fof(f5772,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f155,f5771]) ).

fof(f5773,plain,
    ( n14 != sum(sum(pred(n10),succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f446,f5772]) ).

fof(f5774,plain,
    ( n14 != sum(sum(n9,succ(sk0_0)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f30,f5773]) ).

fof(f5775,plain,
    ( n14 != sum(sum(n9,succ(n10)),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f446,f5774]) ).

fof(f5776,plain,
    ( n14 != sum(sum(n9,n11),n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f14,f5775]) ).

fof(f5777,plain,
    ( n14 != sum(n4,n10)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f191,f5776]) ).

fof(f5778,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5777,f110]) ).

fof(f5779,plain,
    ( ~ spl0_10
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f5778]) ).

fof(f5780,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f507,f294]) ).

fof(f5781,plain,
    ( sum(sum(pred(sk0_0),succ(n14)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f5780]) ).

fof(f5782,plain,
    ( sum(sum(pred(sk0_0),n15),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f5781]) ).

fof(f5783,plain,
    ( sum(sum(pred(sk0_0),n15),sum(pred(n14),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f5782]) ).

fof(f5784,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f5783]) ).

fof(f5785,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n14),succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f507,f5784]) ).

fof(f5786,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n13,succ(n14)))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f5785]) ).

fof(f5787,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n13,n15))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f5786]) ).

fof(f5788,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f259,f5787]) ).

fof(f5818,plain,
    ( sum(sum(pred(n11),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f449,f2003]) ).

fof(f5819,plain,
    ( sum(sum(n10,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f31,f5818]) ).

fof(f5820,plain,
    ( sum(n9,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f211,f5819]) ).

fof(f5821,plain,
    ( sum(n9,sum(n13,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f449,f5820]) ).

fof(f5822,plain,
    ( sum(n9,sum(n13,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f15,f5821]) ).

fof(f5823,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f256,f5822]) ).

fof(f5824,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f189,f5823]) ).

fof(f5825,plain,
    ( n2 != sum(sum(pred(n11),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f449,f5824]) ).

fof(f5826,plain,
    ( n2 != sum(sum(n10,succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f31,f5825]) ).

fof(f5827,plain,
    ( n2 != sum(sum(n10,succ(n11)),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f449,f5826]) ).

fof(f5828,plain,
    ( n2 != sum(sum(n10,n12),n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f15,f5827]) ).

fof(f5829,plain,
    ( n2 != sum(n6,n12)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f208,f5828]) ).

fof(f5830,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5829,f144]) ).

fof(f5831,plain,
    ( ~ spl0_11
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f5830]) ).

fof(f5832,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f510,f294]) ).

fof(f5833,plain,
    ( sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f5832]) ).

fof(f5834,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f5833]) ).

fof(f5835,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(n15),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f5834]) ).

fof(f5836,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f5835]) ).

fof(f5837,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n15),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f5836]) ).

fof(f5838,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f5837]) ).

fof(f5839,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,n0))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f5838]) ).

fof(f5840,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f5839]) ).

fof(f5856,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f440,f5141]) ).

fof(f5857,plain,
    ( sum(sum(pred(n8),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f440,f5856]) ).

fof(f5858,plain,
    ( sum(sum(n7,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f28,f5857]) ).

fof(f5859,plain,
    ( sum(n7,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f148,f5858]) ).

fof(f5860,plain,
    ( sum(n7,sum(n14,succ(n8))) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f440,f5859]) ).

fof(f5861,plain,
    ( sum(n7,sum(n14,n9)) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f12,f5860]) ).

fof(f5862,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f269,f5861]) ).

fof(f5863,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f155,f5862]) ).

fof(f5864,plain,
    ( n14 != sum(sum(pred(n8),succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f440,f5863]) ).

fof(f5865,plain,
    ( n14 != sum(sum(n7,succ(n8)),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f28,f5864]) ).

fof(f5866,plain,
    ( n14 != sum(sum(n7,n9),n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f12,f5865]) ).

fof(f5867,plain,
    ( n14 != sum(n0,n14)
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f157,f5866]) ).

fof(f5868,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5867,f50]) ).

fof(f5869,plain,
    ( ~ spl0_8
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f5868]) ).

fof(f5909,plain,
    ( sum(sum(pred(n11),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f449,f4354]) ).

fof(f5910,plain,
    ( sum(sum(n10,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f31,f5909]) ).

fof(f5911,plain,
    ( sum(n14,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f200,f5910]) ).

fof(f5912,plain,
    ( sum(n14,sum(n2,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f449,f5911]) ).

fof(f5913,plain,
    ( sum(n14,sum(n2,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f15,f5912]) ).

fof(f5914,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f80,f5913]) ).

fof(f5915,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f274,f5914]) ).

fof(f5916,plain,
    ( n12 != sum(sum(pred(n11),succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f449,f5915]) ).

fof(f5917,plain,
    ( n12 != sum(sum(n10,succ(sk0_0)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f31,f5916]) ).

fof(f5918,plain,
    ( n12 != sum(sum(n10,succ(n11)),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f449,f5917]) ).

fof(f5919,plain,
    ( n12 != sum(sum(n10,n12),n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f15,f5918]) ).

fof(f5920,plain,
    ( n12 != sum(n6,n6)
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f208,f5919]) ).

fof(f5921,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5920,f138]) ).

fof(f5922,plain,
    ( ~ spl0_11
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f5921]) ).

fof(f5923,plain,
    ( sum(sum(pred(n11),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f449,f4128]) ).

fof(f5924,plain,
    ( sum(sum(n10,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f31,f5923]) ).

fof(f5925,plain,
    ( sum(n15,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f201,f5924]) ).

fof(f5926,plain,
    ( sum(n15,sum(n3,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f449,f5925]) ).

fof(f5927,plain,
    ( sum(n15,sum(n3,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f15,f5926]) ).

fof(f5928,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f96,f5927]) ).

fof(f5929,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f291,f5928]) ).

fof(f5930,plain,
    ( n14 != sum(sum(pred(n11),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f449,f5929]) ).

fof(f5931,plain,
    ( n14 != sum(sum(n10,succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f31,f5930]) ).

fof(f5932,plain,
    ( n14 != sum(sum(n10,succ(n11)),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f449,f5931]) ).

fof(f5933,plain,
    ( n14 != sum(sum(n10,n12),n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f15,f5932]) ).

fof(f5934,plain,
    ( n14 != sum(n6,n8)
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f208,f5933]) ).

fof(f5935,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5934,f140]) ).

fof(f5936,plain,
    ( ~ spl0_11
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f5935]) ).

fof(f5946,plain,
    ( sum(sum(pred(n11),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f449,f1497]) ).

fof(f5947,plain,
    ( sum(sum(n10,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f31,f5946]) ).

fof(f5948,plain,
    ( sum(n1,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f203,f5947]) ).

fof(f5949,plain,
    ( sum(n1,sum(n5,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f449,f5948]) ).

fof(f5950,plain,
    ( sum(n1,sum(n5,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f15,f5949]) ).

fof(f5951,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f128,f5950]) ).

fof(f5952,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f53,f5951]) ).

fof(f5953,plain,
    ( n2 != sum(sum(pred(n11),succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f449,f5952]) ).

fof(f5954,plain,
    ( n2 != sum(sum(n10,succ(sk0_0)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f31,f5953]) ).

fof(f5955,plain,
    ( n2 != sum(sum(n10,succ(n11)),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f449,f5954]) ).

fof(f5956,plain,
    ( n2 != sum(sum(n10,n12),n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f15,f5955]) ).

fof(f5957,plain,
    ( n2 != sum(n6,n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f208,f5956]) ).

fof(f5958,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5957,f144]) ).

fof(f5959,plain,
    ( ~ spl0_11
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f5958]) ).

fof(f5960,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f5961,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f5960]) ).

fof(f5962,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f5961]) ).

fof(f5963,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f5962]) ).

fof(f5964,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f5963]) ).

fof(f5965,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f5964]) ).

fof(f5966,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f5965]) ).

fof(f5967,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f5966]) ).

fof(f5968,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f5967]) ).

fof(f5998,plain,
    ( sum(sum(n4,succ(n7)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f486,f685]) ).

fof(f5999,plain,
    ( sum(sum(n4,n8),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f11,f5998]) ).

fof(f6000,plain,
    ( sum(n12,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f108,f5999]) ).

fof(f6001,plain,
    ( sum(n12,sum(pred(n7),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f486,f6000]) ).

fof(f6002,plain,
    ( sum(n12,sum(n6,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f27,f6001]) ).

fof(f6003,plain,
    ( sum(n12,n12) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f138,f6002]) ).

fof(f6004,plain,
    ( n8 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f240,f6003]) ).

fof(f6005,plain,
    ( n8 != sum(n10,sum(pred(n7),succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f486,f6004]) ).

fof(f6006,plain,
    ( n8 != sum(n10,sum(n6,succ(sk0_1)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f27,f6005]) ).

fof(f6007,plain,
    ( n8 != sum(n10,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f486,f6006]) ).

fof(f6008,plain,
    ( n8 != sum(n10,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f11,f6007]) ).

fof(f6009,plain,
    ( n8 != sum(n10,n14)
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f140,f6008]) ).

fof(f6010,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6009,f210]) ).

fof(f6011,plain,
    ( ~ spl0_23
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f6010]) ).

fof(f6012,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f434,f294]) ).

fof(f6013,plain,
    ( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f6012]) ).

fof(f6014,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f6013]) ).

fof(f6015,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f6014]) ).

fof(f6016,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f6015]) ).

fof(f6017,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f6016]) ).

fof(f6018,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f6017]) ).

fof(f6019,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f6018]) ).

fof(f6020,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f6019]) ).

fof(f6036,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f480,f3689]) ).

fof(f6037,plain,
    ( sum(sum(n5,succ(n5)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f480,f6036]) ).

fof(f6038,plain,
    ( sum(sum(n5,n6),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f9,f6037]) ).

fof(f6039,plain,
    ( sum(n11,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f122,f6038]) ).

fof(f6040,plain,
    ( sum(n11,sum(pred(n5),n7)) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f480,f6039]) ).

fof(f6041,plain,
    ( sum(n11,sum(n4,n7)) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f25,f6040]) ).

fof(f6042,plain,
    ( sum(n11,n11) != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f107,f6041]) ).

fof(f6043,plain,
    ( n6 != sum(n12,sum(pred(sk0_1),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f223,f6042]) ).

fof(f6044,plain,
    ( n6 != sum(n12,sum(pred(n5),succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f480,f6043]) ).

fof(f6045,plain,
    ( n6 != sum(n12,sum(n4,succ(n5)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f25,f6044]) ).

fof(f6046,plain,
    ( n6 != sum(n12,sum(n4,n6))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f9,f6045]) ).

fof(f6047,plain,
    ( n6 != sum(n12,n10)
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f106,f6046]) ).

fof(f6048,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6047,f238]) ).

fof(f6049,plain,
    ( ~ spl0_21
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f6048]) ).

fof(f6073,plain,
    ( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f471,f4076]) ).

fof(f6074,plain,
    ( sum(sum(n1,succ(n2)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f471,f6073]) ).

fof(f6075,plain,
    ( sum(sum(n1,n3),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f6074]) ).

fof(f6076,plain,
    ( sum(n4,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f6075]) ).

fof(f6077,plain,
    ( sum(n4,sum(pred(n2),n3)) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f471,f6076]) ).

fof(f6078,plain,
    ( sum(n4,sum(n1,n3)) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f6077]) ).

fof(f6079,plain,
    ( sum(n4,n4) != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f6078]) ).

fof(f6080,plain,
    ( n8 != sum(n4,sum(pred(sk0_1),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f104,f6079]) ).

fof(f6081,plain,
    ( n8 != sum(n4,sum(pred(n2),succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f471,f6080]) ).

fof(f6082,plain,
    ( n8 != sum(n4,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f6081]) ).

fof(f6083,plain,
    ( n8 != sum(n4,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f6082]) ).

fof(f6084,plain,
    ( n8 != sum(n4,n4)
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f55,f6083]) ).

fof(f6085,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6084,f104]) ).

fof(f6086,plain,
    ( ~ spl0_18
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f6085]) ).

fof(f6109,plain,
    ( sum(sum(n10,succ(n2)),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f471,f4971]) ).

fof(f6110,plain,
    ( sum(sum(n10,n3),sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f6,f6109]) ).

fof(f6111,plain,
    ( sum(n13,sum(pred(sk0_1),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f199,f6110]) ).

fof(f6112,plain,
    ( sum(n13,sum(pred(n2),n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f471,f6111]) ).

fof(f6113,plain,
    ( sum(n13,sum(n1,n12)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f22,f6112]) ).

fof(f6114,plain,
    ( sum(n13,n13) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f64,f6113]) ).

fof(f6115,plain,
    ( n10 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f257,f6114]) ).

fof(f6116,plain,
    ( n10 != sum(n6,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f471,f6115]) ).

fof(f6117,plain,
    ( n10 != sum(n6,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f22,f6116]) ).

fof(f6118,plain,
    ( n10 != sum(n6,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f471,f6117]) ).

fof(f6119,plain,
    ( n10 != sum(n6,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f6,f6118]) ).

fof(f6120,plain,
    ( n10 != sum(n6,n4)
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f55,f6119]) ).

fof(f6121,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6120,f136]) ).

fof(f6122,plain,
    ( ~ spl0_18
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f6121]) ).

fof(f6146,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f437,f1809]) ).

fof(f6147,plain,
    ( sum(sum(pred(n7),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f437,f6146]) ).

fof(f6148,plain,
    ( sum(sum(n6,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f27,f6147]) ).

fof(f6149,plain,
    ( sum(n8,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f134,f6148]) ).

fof(f6150,plain,
    ( sum(n8,sum(n0,succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f437,f6149]) ).

fof(f6151,plain,
    ( sum(n8,sum(n0,n8)) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f11,f6150]) ).

fof(f6152,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f44,f6151]) ).

fof(f6153,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f172,f6152]) ).

fof(f6154,plain,
    ( n0 != sum(sum(pred(n7),succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f437,f6153]) ).

fof(f6155,plain,
    ( n0 != sum(sum(n6,succ(n7)),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f27,f6154]) ).

fof(f6156,plain,
    ( n0 != sum(sum(n6,n8),n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f11,f6155]) ).

fof(f6157,plain,
    ( n0 != sum(n14,n2)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f140,f6156]) ).

fof(f6158,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6157,f262]) ).

fof(f6159,plain,
    ( ~ spl0_7
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f6158]) ).

fof(f6160,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f465,f294]) ).

fof(f6161,plain,
    ( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f6160]) ).

fof(f6162,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f6161]) ).

fof(f6163,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f6162]) ).

fof(f6164,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f6163]) ).

fof(f6165,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f6164]) ).

fof(f6166,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f6165]) ).

fof(f6167,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,n1))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f6166]) ).

fof(f6168,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f6167]) ).

fof(f6198,plain,
    ( sum(sum(pred(n4),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f428,f2666]) ).

fof(f6199,plain,
    ( sum(sum(n3,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f24,f6198]) ).

fof(f6200,plain,
    ( sum(n4,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f85,f6199]) ).

fof(f6201,plain,
    ( sum(n4,sum(n15,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f428,f6200]) ).

fof(f6202,plain,
    ( sum(n4,sum(n15,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f8,f6201]) ).

fof(f6203,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f281,f6202]) ).

fof(f6204,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f104,f6203]) ).

fof(f6205,plain,
    ( n8 != sum(sum(pred(n4),succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f428,f6204]) ).

fof(f6206,plain,
    ( n8 != sum(sum(n3,succ(sk0_0)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f24,f6205]) ).

fof(f6207,plain,
    ( n8 != sum(sum(n3,succ(n4)),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f428,f6206]) ).

fof(f6208,plain,
    ( n8 != sum(sum(n3,n5),n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f8,f6207]) ).

fof(f6209,plain,
    ( n8 != sum(n8,n0)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f89,f6208]) ).

fof(f6210,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6209,f164]) ).

fof(f6211,plain,
    ( ~ spl0_4
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f6210]) ).

fof(f6212,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f501,f294]) ).

fof(f6213,plain,
    ( sum(sum(pred(sk0_0),succ(n12)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f6212]) ).

fof(f6214,plain,
    ( sum(sum(pred(sk0_0),n13),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f6213]) ).

fof(f6215,plain,
    ( sum(sum(pred(sk0_0),n13),sum(pred(n12),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f6214]) ).

fof(f6216,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f6215]) ).

fof(f6217,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n12),succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f501,f6216]) ).

fof(f6218,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n11,succ(n12)))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f6217]) ).

fof(f6219,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n11,n13))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f6218]) ).

fof(f6220,plain,
    ( sum(sum(pred(sk0_0),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f225,f6219]) ).

fof(f6250,plain,
    ( sum(sum(pred(n12),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f452,f5579]) ).

fof(f6251,plain,
    ( sum(sum(n11,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f6250]) ).

fof(f6252,plain,
    ( sum(n8,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f225,f6251]) ).

fof(f6253,plain,
    ( sum(n8,sum(n11,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f452,f6252]) ).

fof(f6254,plain,
    ( sum(n8,sum(n11,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f6253]) ).

fof(f6255,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f225,f6254]) ).

fof(f6256,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f172,f6255]) ).

fof(f6257,plain,
    ( n0 != sum(sum(pred(n12),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f452,f6256]) ).

fof(f6258,plain,
    ( n0 != sum(sum(n11,succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f32,f6257]) ).

fof(f6259,plain,
    ( n0 != sum(sum(n11,succ(n12)),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f452,f6258]) ).

fof(f6260,plain,
    ( n0 != sum(sum(n11,n13),n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f16,f6259]) ).

fof(f6261,plain,
    ( n0 != sum(n8,n8)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f225,f6260]) ).

fof(f6262,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6261,f172]) ).

fof(f6263,plain,
    ( ~ spl0_12
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f6262]) ).

fof(f6264,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f461,f294]) ).

fof(f6265,plain,
    ( sum(sum(pred(n15),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f6264]) ).

fof(f6266,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f6265]) ).

fof(f6267,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f6266]) ).

fof(f6268,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f6267]) ).

fof(f6269,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n15),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f6268]) ).

fof(f6270,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f6269]) ).

fof(f6271,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,n0),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f6270]) ).

fof(f6272,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f260,f6271]) ).

fof(f6286,plain,
    ( sum(sum(pred(n15),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f461,f2244]) ).

fof(f6287,plain,
    ( sum(sum(n14,n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f35,f6286]) ).

fof(f6288,plain,
    ( sum(n10,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f272,f6287]) ).

fof(f6289,plain,
    ( sum(n10,sum(n10,succ(n15))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f461,f6288]) ).

fof(f6290,plain,
    ( sum(n10,sum(n10,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f19,f6289]) ).

fof(f6291,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f196,f6290]) ).

fof(f6292,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f206,f6291]) ).

fof(f6293,plain,
    ( n4 != sum(sum(pred(n15),succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f461,f6292]) ).

fof(f6294,plain,
    ( n4 != sum(sum(n14,succ(sk0_0)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f35,f6293]) ).

fof(f6295,plain,
    ( n4 != sum(sum(n14,succ(n15)),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f461,f6294]) ).

fof(f6296,plain,
    ( n4 != sum(sum(n14,n0),n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f19,f6295]) ).

fof(f6297,plain,
    ( n4 != sum(n14,n6)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f260,f6296]) ).

fof(f6298,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6297,f266]) ).

fof(f6299,plain,
    ( ~ spl0_15
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f6298]) ).

fof(f6339,plain,
    ( sum(sum(pred(n12),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f452,f2927]) ).

fof(f6340,plain,
    ( sum(sum(n11,n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f32,f6339]) ).

fof(f6341,plain,
    ( sum(n7,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f224,f6340]) ).

fof(f6342,plain,
    ( sum(n7,sum(n10,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f452,f6341]) ).

fof(f6343,plain,
    ( sum(n7,sum(n10,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f16,f6342]) ).

fof(f6344,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f209,f6343]) ).

fof(f6345,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f155,f6344]) ).

fof(f6346,plain,
    ( n14 != sum(sum(pred(n12),succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f452,f6345]) ).

fof(f6347,plain,
    ( n14 != sum(sum(n11,succ(sk0_0)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f32,f6346]) ).

fof(f6348,plain,
    ( n14 != sum(sum(n11,succ(n12)),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f452,f6347]) ).

fof(f6349,plain,
    ( n14 != sum(sum(n11,n13),n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f16,f6348]) ).

fof(f6350,plain,
    ( n14 != sum(n8,n6)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f225,f6349]) ).

fof(f6351,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6350,f170]) ).

fof(f6352,plain,
    ( ~ spl0_12
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f6351]) ).

fof(f6366,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f495,f294]) ).

fof(f6367,plain,
    ( sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f6366]) ).

fof(f6368,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f6367]) ).

fof(f6369,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f6368]) ).

fof(f6370,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f6369]) ).

fof(f6371,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n10),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f6370]) ).

fof(f6372,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f6371]) ).

fof(f6373,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,n11))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f6372]) ).

fof(f6374,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f6373]) ).

fof(f6404,plain,
    ( sum(sum(pred(n7),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f437,f4811]) ).

fof(f6405,plain,
    ( sum(sum(n6,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f27,f6404]) ).

fof(f6406,plain,
    ( sum(n1,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f143,f6405]) ).

fof(f6407,plain,
    ( sum(n1,sum(n9,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f437,f6406]) ).

fof(f6408,plain,
    ( sum(n1,sum(n9,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f11,f6407]) ).

fof(f6409,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f188,f6408]) ).

fof(f6410,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f53,f6409]) ).

fof(f6411,plain,
    ( n2 != sum(sum(pred(n7),succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f437,f6410]) ).

fof(f6412,plain,
    ( n2 != sum(sum(n6,succ(sk0_0)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f27,f6411]) ).

fof(f6413,plain,
    ( n2 != sum(sum(n6,succ(n7)),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f437,f6412]) ).

fof(f6414,plain,
    ( n2 != sum(sum(n6,n8),n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f11,f6413]) ).

fof(f6415,plain,
    ( n2 != sum(n14,n4)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f140,f6414]) ).

fof(f6416,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6415,f264]) ).

fof(f6417,plain,
    ( ~ spl0_7
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f6416]) ).

fof(f6457,plain,
    ( sum(sum(n13,succ(n9)),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f492,f625]) ).

fof(f6458,plain,
    ( sum(sum(n13,n10),sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f13,f6457]) ).

fof(f6459,plain,
    ( sum(n7,sum(pred(sk0_1),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f254,f6458]) ).

fof(f6460,plain,
    ( sum(n7,sum(pred(n9),n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f492,f6459]) ).

fof(f6461,plain,
    ( sum(n7,sum(n8,n15)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f29,f6460]) ).

fof(f6462,plain,
    ( sum(n7,n7) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f179,f6461]) ).

fof(f6463,plain,
    ( n14 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f155,f6462]) ).

fof(f6464,plain,
    ( n14 != sum(n12,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f492,f6463]) ).

fof(f6465,plain,
    ( n14 != sum(n12,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f29,f6464]) ).

fof(f6466,plain,
    ( n14 != sum(n12,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f492,f6465]) ).

fof(f6467,plain,
    ( n14 != sum(n12,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f13,f6466]) ).

fof(f6468,plain,
    ( n14 != sum(n12,n2)
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f174,f6467]) ).

fof(f6469,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6468,f230]) ).

fof(f6470,plain,
    ( ~ spl0_25
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f6469]) ).

fof(f6471,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f6472,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f6471]) ).

fof(f6473,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f6472]) ).

fof(f6474,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f6473]) ).

fof(f6475,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f6474]) ).

fof(f6476,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f6475]) ).

fof(f6477,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f6476]) ).

fof(f6478,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f6477]) ).

fof(f6479,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f6478]) ).

fof(f6495,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f489,f3831]) ).

fof(f6496,plain,
    ( sum(sum(n8,succ(n8)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f489,f6495]) ).

fof(f6497,plain,
    ( sum(sum(n8,n9),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f12,f6496]) ).

fof(f6498,plain,
    ( sum(n1,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f173,f6497]) ).

fof(f6499,plain,
    ( sum(n1,sum(pred(n8),n10)) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f489,f6498]) ).

fof(f6500,plain,
    ( sum(n1,sum(n7,n10)) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f28,f6499]) ).

fof(f6501,plain,
    ( sum(n1,n1) != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f158,f6500]) ).

fof(f6502,plain,
    ( n2 != sum(n2,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f53,f6501]) ).

fof(f6503,plain,
    ( n2 != sum(n2,sum(pred(n8),succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f489,f6502]) ).

fof(f6504,plain,
    ( n2 != sum(n2,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f28,f6503]) ).

fof(f6505,plain,
    ( n2 != sum(n2,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f12,f6504]) ).

fof(f6506,plain,
    ( n2 != sum(n2,n0)
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f157,f6505]) ).

fof(f6507,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6506,f68]) ).

fof(f6508,plain,
    ( ~ spl0_24
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f6507]) ).

fof(f6509,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f446,f294]) ).

fof(f6510,plain,
    ( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f6509]) ).

fof(f6511,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f6510]) ).

fof(f6512,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f6511]) ).

fof(f6513,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f6512]) ).

fof(f6514,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f6513]) ).

fof(f6515,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f6514]) ).

fof(f6516,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,n11),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f6515]) ).

fof(f6517,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f191,f6516]) ).

fof(f6548,plain,
    ( sum(sum(n9,succ(n11)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f498,f5735]) ).

fof(f6549,plain,
    ( sum(sum(n9,n12),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f15,f6548]) ).

fof(f6550,plain,
    ( sum(n5,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f192,f6549]) ).

fof(f6551,plain,
    ( sum(n5,sum(pred(n11),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f498,f6550]) ).

fof(f6552,plain,
    ( sum(n5,sum(n10,n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f31,f6551]) ).

fof(f6553,plain,
    ( sum(n5,n5) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f207,f6552]) ).

fof(f6554,plain,
    ( n10 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f121,f6553]) ).

fof(f6555,plain,
    ( n10 != sum(n4,sum(pred(n11),succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f498,f6554]) ).

fof(f6556,plain,
    ( n10 != sum(n4,sum(n10,succ(sk0_1)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f31,f6555]) ).

fof(f6557,plain,
    ( n10 != sum(n4,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f498,f6556]) ).

fof(f6558,plain,
    ( n10 != sum(n4,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f15,f6557]) ).

fof(f6559,plain,
    ( n10 != sum(n4,n6)
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f208,f6558]) ).

fof(f6560,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6559,f106]) ).

fof(f6561,plain,
    ( ~ spl0_27
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f6560]) ).

fof(f6585,plain,
    ( sum(sum(pred(sk0_0),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f437,f4603]) ).

fof(f6586,plain,
    ( sum(sum(pred(n7),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f437,f6585]) ).

fof(f6587,plain,
    ( sum(sum(n6,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f27,f6586]) ).

fof(f6588,plain,
    ( sum(n5,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f147,f6587]) ).

fof(f6589,plain,
    ( sum(n5,sum(n13,succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f437,f6588]) ).

fof(f6590,plain,
    ( sum(n5,sum(n13,n8)) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f11,f6589]) ).

fof(f6591,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f252,f6590]) ).

fof(f6592,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f121,f6591]) ).

fof(f6593,plain,
    ( n10 != sum(sum(pred(n7),succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f437,f6592]) ).

fof(f6594,plain,
    ( n10 != sum(sum(n6,succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f27,f6593]) ).

fof(f6595,plain,
    ( n10 != sum(sum(n6,n8),n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f11,f6594]) ).

fof(f6596,plain,
    ( n10 != sum(n14,n12)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f140,f6595]) ).

fof(f6597,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6596,f272]) ).

fof(f6598,plain,
    ( ~ spl0_7
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f6597]) ).

fof(f6637,plain,
    ( sum(sum(pred(n11),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f449,f5840]) ).

fof(f6638,plain,
    ( sum(sum(n10,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f31,f6637]) ).

fof(f6639,plain,
    ( sum(n10,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f196,f6638]) ).

fof(f6640,plain,
    ( sum(n10,sum(n14,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f449,f6639]) ).

fof(f6641,plain,
    ( sum(n10,sum(n14,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f15,f6640]) ).

fof(f6642,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f272,f6641]) ).

fof(f6643,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f206,f6642]) ).

fof(f6644,plain,
    ( n4 != sum(sum(pred(n11),succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f449,f6643]) ).

fof(f6645,plain,
    ( n4 != sum(sum(n10,succ(sk0_0)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f31,f6644]) ).

fof(f6646,plain,
    ( n4 != sum(sum(n10,succ(n11)),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f449,f6645]) ).

fof(f6647,plain,
    ( n4 != sum(sum(n10,n12),n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f15,f6646]) ).

fof(f6648,plain,
    ( n4 != sum(n6,n14)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f208,f6647]) ).

fof(f6649,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6648,f146]) ).

fof(f6650,plain,
    ( ~ spl0_11
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f6649]) ).

fof(f6651,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f477,f294]) ).

fof(f6652,plain,
    ( sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f6651]) ).

fof(f6653,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f6652]) ).

fof(f6654,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(n4),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f6653]) ).

fof(f6655,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f6654]) ).

fof(f6656,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n4),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f6655]) ).

fof(f6657,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f6656]) ).

fof(f6658,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,n5))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f6657]) ).

fof(f6659,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f6658]) ).

fof(f6689,plain,
    ( sum(sum(pred(n4),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f428,f3401]) ).

fof(f6690,plain,
    ( sum(sum(n3,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f6689]) ).

fof(f6691,plain,
    ( sum(n8,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f6690]) ).

fof(f6692,plain,
    ( sum(n8,sum(n3,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f428,f6691]) ).

fof(f6693,plain,
    ( sum(n8,sum(n3,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f6692]) ).

fof(f6694,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f6693]) ).

fof(f6695,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f172,f6694]) ).

fof(f6696,plain,
    ( n0 != sum(sum(pred(n4),succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f428,f6695]) ).

fof(f6697,plain,
    ( n0 != sum(sum(n3,succ(sk0_0)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f6696]) ).

fof(f6698,plain,
    ( n0 != sum(sum(n3,succ(n4)),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f428,f6697]) ).

fof(f6699,plain,
    ( n0 != sum(sum(n3,n5),n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f6698]) ).

fof(f6700,plain,
    ( n0 != sum(n8,n8)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f6699]) ).

fof(f6701,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6700,f172]) ).

fof(f6702,plain,
    ( ~ spl0_4
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f6701]) ).

fof(f6754,plain,
    ( sum(sum(pred(n7),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f437,f2874]) ).

fof(f6755,plain,
    ( sum(sum(n6,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f27,f6754]) ).

fof(f6756,plain,
    ( sum(n13,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f139,f6755]) ).

fof(f6757,plain,
    ( sum(n13,sum(n5,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f437,f6756]) ).

fof(f6758,plain,
    ( sum(n13,sum(n5,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f11,f6757]) ).

fof(f6759,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f124,f6758]) ).

fof(f6760,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f257,f6759]) ).

fof(f6761,plain,
    ( n10 != sum(sum(pred(n7),succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f437,f6760]) ).

fof(f6762,plain,
    ( n10 != sum(sum(n6,succ(sk0_0)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f27,f6761]) ).

fof(f6763,plain,
    ( n10 != sum(sum(n6,succ(n7)),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f437,f6762]) ).

fof(f6764,plain,
    ( n10 != sum(sum(n6,n8),n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f11,f6763]) ).

fof(f6765,plain,
    ( n10 != sum(n14,n12)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f140,f6764]) ).

fof(f6766,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6765,f272]) ).

fof(f6767,plain,
    ( ~ spl0_7
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f6766]) ).

fof(f6768,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f6769,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f6768]) ).

fof(f6770,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f6769]) ).

fof(f6771,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f6770]) ).

fof(f6772,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f6771]) ).

fof(f6773,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f6772]) ).

fof(f6774,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f6773]) ).

fof(f6775,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f6774]) ).

fof(f6776,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f6775]) ).

fof(f6806,plain,
    ( sum(sum(n4,succ(n3)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f474,f5968]) ).

fof(f6807,plain,
    ( sum(sum(n4,n4),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f7,f6806]) ).

fof(f6808,plain,
    ( sum(n8,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f104,f6807]) ).

fof(f6809,plain,
    ( sum(n8,sum(pred(n3),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f474,f6808]) ).

fof(f6810,plain,
    ( sum(n8,sum(n2,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f23,f6809]) ).

fof(f6811,plain,
    ( sum(n8,n8) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f74,f6810]) ).

fof(f6812,plain,
    ( n0 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f172,f6811]) ).

fof(f6813,plain,
    ( n0 != sum(n10,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f474,f6812]) ).

fof(f6814,plain,
    ( n0 != sum(n10,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f23,f6813]) ).

fof(f6815,plain,
    ( n0 != sum(n10,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f474,f6814]) ).

fof(f6816,plain,
    ( n0 != sum(n10,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f7,f6815]) ).

fof(f6817,plain,
    ( n0 != sum(n10,n6)
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f72,f6816]) ).

fof(f6818,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6817,f202]) ).

fof(f6819,plain,
    ( ~ spl0_19
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f6818]) ).

fof(f6820,plain,
    ( sum(sum(n5,succ(n3)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f474,f6020]) ).

fof(f6821,plain,
    ( sum(sum(n5,n4),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f7,f6820]) ).

fof(f6822,plain,
    ( sum(n9,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f120,f6821]) ).

fof(f6823,plain,
    ( sum(n9,sum(pred(n3),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f474,f6822]) ).

fof(f6824,plain,
    ( sum(n9,sum(n2,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f23,f6823]) ).

fof(f6825,plain,
    ( sum(n9,n9) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f75,f6824]) ).

fof(f6826,plain,
    ( n2 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f189,f6825]) ).

fof(f6827,plain,
    ( n2 != sum(n12,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f474,f6826]) ).

fof(f6828,plain,
    ( n2 != sum(n12,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f23,f6827]) ).

fof(f6829,plain,
    ( n2 != sum(n12,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f474,f6828]) ).

fof(f6830,plain,
    ( n2 != sum(n12,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f7,f6829]) ).

fof(f6831,plain,
    ( n2 != sum(n12,n6)
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f72,f6830]) ).

fof(f6832,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6831,f234]) ).

fof(f6833,plain,
    ( ~ spl0_19
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f6832]) ).

fof(f6843,plain,
    ( sum(sum(n1,succ(n3)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f474,f3342]) ).

fof(f6844,plain,
    ( sum(sum(n1,n4),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f7,f6843]) ).

fof(f6845,plain,
    ( sum(n5,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f56,f6844]) ).

fof(f6846,plain,
    ( sum(n5,sum(pred(n3),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f474,f6845]) ).

fof(f6847,plain,
    ( sum(n5,sum(n2,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f23,f6846]) ).

fof(f6848,plain,
    ( sum(n5,n5) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f71,f6847]) ).

fof(f6849,plain,
    ( n10 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f121,f6848]) ).

fof(f6850,plain,
    ( n10 != sum(n4,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f474,f6849]) ).

fof(f6851,plain,
    ( n10 != sum(n4,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f23,f6850]) ).

fof(f6852,plain,
    ( n10 != sum(n4,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f474,f6851]) ).

fof(f6853,plain,
    ( n10 != sum(n4,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f7,f6852]) ).

fof(f6854,plain,
    ( n10 != sum(n4,n6)
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f72,f6853]) ).

fof(f6855,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6854,f106]) ).

fof(f6856,plain,
    ( ~ spl0_19
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f6855]) ).

fof(f6857,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f468,f294]) ).

fof(f6858,plain,
    ( sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f6857]) ).

fof(f6859,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f6858]) ).

fof(f6860,plain,
    ( sum(sum(pred(sk0_0),n2),sum(pred(n1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f6859]) ).

fof(f6861,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f6860]) ).

fof(f6862,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n1),succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f468,f6861]) ).

fof(f6863,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,succ(n1)))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f21,f6862]) ).

fof(f6864,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,n2))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f6863]) ).

fof(f6865,plain,
    ( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f38,f6864]) ).

fof(f6895,plain,
    ( sum(sum(pred(n11),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f449,f5425]) ).

fof(f6896,plain,
    ( sum(sum(n10,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f31,f6895]) ).

fof(f6897,plain,
    ( sum(n12,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f198,f6896]) ).

fof(f6898,plain,
    ( sum(n12,sum(n0,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f449,f6897]) ).

fof(f6899,plain,
    ( sum(n12,sum(n0,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f15,f6898]) ).

fof(f6900,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f48,f6899]) ).

fof(f6901,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f240,f6900]) ).

fof(f6902,plain,
    ( n8 != sum(sum(pred(n11),succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f449,f6901]) ).

fof(f6903,plain,
    ( n8 != sum(sum(n10,succ(sk0_0)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f31,f6902]) ).

fof(f6904,plain,
    ( n8 != sum(sum(n10,succ(n11)),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f449,f6903]) ).

fof(f6905,plain,
    ( n8 != sum(sum(n10,n12),n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f15,f6904]) ).

fof(f6906,plain,
    ( n8 != sum(n6,n2)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f208,f6905]) ).

fof(f6907,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6906,f134]) ).

fof(f6908,plain,
    ( ~ spl0_11
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f6907]) ).

fof(f6946,plain,
    ( sum(sum(pred(n7),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f437,f2092]) ).

fof(f6947,plain,
    ( sum(sum(n6,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f27,f6946]) ).

fof(f6948,plain,
    ( sum(n3,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f145,f6947]) ).

fof(f6949,plain,
    ( sum(n3,sum(n11,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f437,f6948]) ).

fof(f6950,plain,
    ( sum(n3,sum(n11,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f6949]) ).

fof(f6951,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f220,f6950]) ).

fof(f6952,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f87,f6951]) ).

fof(f6953,plain,
    ( n6 != sum(sum(pred(n7),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f437,f6952]) ).

fof(f6954,plain,
    ( n6 != sum(sum(n6,succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f27,f6953]) ).

fof(f6955,plain,
    ( n6 != sum(sum(n6,succ(n7)),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f437,f6954]) ).

fof(f6956,plain,
    ( n6 != sum(sum(n6,n8),n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f6955]) ).

fof(f6957,plain,
    ( n6 != sum(n14,n8)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f140,f6956]) ).

fof(f6958,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6957,f268]) ).

fof(f6959,plain,
    ( ~ spl0_7
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f6958]) ).

fof(f6999,plain,
    ( sum(sum(n11,succ(n3)),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f474,f765]) ).

fof(f7000,plain,
    ( sum(sum(n11,n4),sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f7,f6999]) ).

fof(f7001,plain,
    ( sum(n15,sum(pred(sk0_1),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f216,f7000]) ).

fof(f7002,plain,
    ( sum(n15,sum(pred(n3),n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f474,f7001]) ).

fof(f7003,plain,
    ( sum(n15,sum(n2,n13)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f23,f7002]) ).

fof(f7004,plain,
    ( sum(n15,n15) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f81,f7003]) ).

fof(f7005,plain,
    ( n14 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f291,f7004]) ).

fof(f7006,plain,
    ( n14 != sum(n8,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f474,f7005]) ).

fof(f7007,plain,
    ( n14 != sum(n8,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f23,f7006]) ).

fof(f7008,plain,
    ( n14 != sum(n8,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f474,f7007]) ).

fof(f7009,plain,
    ( n14 != sum(n8,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f7,f7008]) ).

fof(f7010,plain,
    ( n14 != sum(n8,n6)
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f72,f7009]) ).

fof(f7011,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7010,f170]) ).

fof(f7012,plain,
    ( ~ spl0_19
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f7011]) ).

fof(f7013,plain,
    ( sum(sum(pred(n12),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f452,f4181]) ).

fof(f7014,plain,
    ( sum(sum(n11,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f32,f7013]) ).

fof(f7015,plain,
    ( sum(n6,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f223,f7014]) ).

fof(f7016,plain,
    ( sum(n6,sum(n9,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f452,f7015]) ).

fof(f7017,plain,
    ( sum(n6,sum(n9,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f16,f7016]) ).

fof(f7018,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f193,f7017]) ).

fof(f7019,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f138,f7018]) ).

fof(f7020,plain,
    ( n12 != sum(sum(pred(n12),succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f452,f7019]) ).

fof(f7021,plain,
    ( n12 != sum(sum(n11,succ(sk0_0)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f32,f7020]) ).

fof(f7022,plain,
    ( n12 != sum(sum(n11,succ(n12)),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f452,f7021]) ).

fof(f7023,plain,
    ( n12 != sum(sum(n11,n13),n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f16,f7022]) ).

fof(f7024,plain,
    ( n12 != sum(n8,n4)
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f225,f7023]) ).

fof(f7025,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7024,f168]) ).

fof(f7026,plain,
    ( ~ spl0_12
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f7025]) ).

fof(f7027,plain,
    ( sum(sum(pred(n12),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f452,f5066]) ).

fof(f7028,plain,
    ( sum(sum(n11,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f32,f7027]) ).

fof(f7029,plain,
    ( sum(n12,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f213,f7028]) ).

fof(f7030,plain,
    ( sum(n12,sum(n15,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f452,f7029]) ).

fof(f7031,plain,
    ( sum(n12,sum(n15,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f16,f7030]) ).

fof(f7032,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f289,f7031]) ).

fof(f7033,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f240,f7032]) ).

fof(f7034,plain,
    ( n8 != sum(sum(pred(n12),succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f452,f7033]) ).

fof(f7035,plain,
    ( n8 != sum(sum(n11,succ(sk0_0)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f32,f7034]) ).

fof(f7036,plain,
    ( n8 != sum(sum(n11,succ(n12)),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f452,f7035]) ).

fof(f7037,plain,
    ( n8 != sum(sum(n11,n13),n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f16,f7036]) ).

fof(f7038,plain,
    ( n8 != sum(n8,n0)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f225,f7037]) ).

fof(f7039,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7038,f164]) ).

fof(f7040,plain,
    ( ~ spl0_12
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f7039]) ).

fof(f7054,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f461,f294]) ).

fof(f7055,plain,
    ( sum(sum(pred(n15),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f7054]) ).

fof(f7056,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f7055]) ).

fof(f7057,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f7056]) ).

fof(f7058,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f7057]) ).

fof(f7059,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n15),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f7058]) ).

fof(f7060,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f7059]) ).

fof(f7061,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,n0),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f7060]) ).

fof(f7062,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f260,f7061]) ).

fof(f7076,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f489,f6272]) ).

fof(f7077,plain,
    ( sum(sum(n14,succ(n8)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f489,f7076]) ).

fof(f7078,plain,
    ( sum(sum(n14,n9),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f12,f7077]) ).

fof(f7079,plain,
    ( sum(n7,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f269,f7078]) ).

fof(f7080,plain,
    ( sum(n7,sum(pred(n8),n0)) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f489,f7079]) ).

fof(f7081,plain,
    ( sum(n7,sum(n7,n0)) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f28,f7080]) ).

fof(f7082,plain,
    ( sum(n7,n7) != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f148,f7081]) ).

fof(f7083,plain,
    ( n14 != sum(n14,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f155,f7082]) ).

fof(f7084,plain,
    ( n14 != sum(n14,sum(pred(n8),succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f489,f7083]) ).

fof(f7085,plain,
    ( n14 != sum(n14,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f28,f7084]) ).

fof(f7086,plain,
    ( n14 != sum(n14,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f12,f7085]) ).

fof(f7087,plain,
    ( n14 != sum(n14,n0)
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f157,f7086]) ).

fof(f7088,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7087,f260]) ).

fof(f7089,plain,
    ( ~ spl0_24
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f7088]) ).

fof(f7090,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f7091,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f7090]) ).

fof(f7092,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f7091]) ).

fof(f7093,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f7092]) ).

fof(f7094,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f7093]) ).

fof(f7095,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f7094]) ).

fof(f7096,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f7095]) ).

fof(f7097,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f7096]) ).

fof(f7098,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f7097]) ).

fof(f7128,plain,
    ( sum(sum(n8,succ(n2)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f471,f6479]) ).

fof(f7129,plain,
    ( sum(sum(n8,n3),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f6,f7128]) ).

fof(f7130,plain,
    ( sum(n11,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f167,f7129]) ).

fof(f7131,plain,
    ( sum(n11,sum(pred(n2),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f471,f7130]) ).

fof(f7132,plain,
    ( sum(n11,sum(n1,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f22,f7131]) ).

fof(f7133,plain,
    ( sum(n11,n11) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f62,f7132]) ).

fof(f7134,plain,
    ( n6 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f223,f7133]) ).

fof(f7135,plain,
    ( n6 != sum(n2,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f471,f7134]) ).

fof(f7136,plain,
    ( n6 != sum(n2,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f22,f7135]) ).

fof(f7137,plain,
    ( n6 != sum(n2,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f471,f7136]) ).

fof(f7138,plain,
    ( n6 != sum(n2,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f6,f7137]) ).

fof(f7139,plain,
    ( n6 != sum(n2,n4)
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f55,f7138]) ).

fof(f7140,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7139,f72]) ).

fof(f7141,plain,
    ( ~ spl0_18
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f7140]) ).

fof(f7151,plain,
    ( sum(sum(n9,succ(n2)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f471,f6517]) ).

fof(f7152,plain,
    ( sum(sum(n9,n3),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f6,f7151]) ).

fof(f7153,plain,
    ( sum(n12,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f183,f7152]) ).

fof(f7154,plain,
    ( sum(n12,sum(pred(n2),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f471,f7153]) ).

fof(f7155,plain,
    ( sum(n12,sum(n1,n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f22,f7154]) ).

fof(f7156,plain,
    ( sum(n12,n12) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f63,f7155]) ).

fof(f7157,plain,
    ( n8 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f240,f7156]) ).

fof(f7158,plain,
    ( n8 != sum(n4,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f471,f7157]) ).

fof(f7159,plain,
    ( n8 != sum(n4,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f22,f7158]) ).

fof(f7160,plain,
    ( n8 != sum(n4,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f471,f7159]) ).

fof(f7161,plain,
    ( n8 != sum(n4,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f6,f7160]) ).

fof(f7162,plain,
    ( n8 != sum(n4,n4)
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f55,f7161]) ).

fof(f7163,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7162,f104]) ).

fof(f7164,plain,
    ( ~ spl0_18
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f7163]) ).

fof(f7203,plain,
    ( sum(sum(pred(n14),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f458,f5788]) ).

fof(f7204,plain,
    ( sum(sum(n13,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f7203]) ).

fof(f7205,plain,
    ( sum(n12,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f259,f7204]) ).

fof(f7206,plain,
    ( sum(n12,sum(n13,succ(n14))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f458,f7205]) ).

fof(f7207,plain,
    ( sum(n12,sum(n13,n15)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f7206]) ).

fof(f7208,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f259,f7207]) ).

fof(f7209,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f240,f7208]) ).

fof(f7210,plain,
    ( n8 != sum(sum(pred(n14),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f458,f7209]) ).

fof(f7211,plain,
    ( n8 != sum(sum(n13,succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f7210]) ).

fof(f7212,plain,
    ( n8 != sum(sum(n13,succ(n14)),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f458,f7211]) ).

fof(f7213,plain,
    ( n8 != sum(sum(n13,n15),n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f18,f7212]) ).

fof(f7214,plain,
    ( n8 != sum(n12,n12)
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f259,f7213]) ).

fof(f7215,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7214,f240]) ).

fof(f7216,plain,
    ( ~ spl0_14
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f7215]) ).

fof(f7217,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f510,f294]) ).

fof(f7218,plain,
    ( sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f7217]) ).

fof(f7219,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f7218]) ).

fof(f7220,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(n15),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f7219]) ).

fof(f7221,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f7220]) ).

fof(f7222,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n15),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f7221]) ).

fof(f7223,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f7222]) ).

fof(f7224,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,n0))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f7223]) ).

fof(f7225,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f7224]) ).

fof(f7241,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f416,f5141]) ).

fof(f7242,plain,
    ( sum(sum(pred(n0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f416,f7241]) ).

fof(f7243,plain,
    ( sum(sum(n15,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f20,f7242]) ).

fof(f7244,plain,
    ( sum(n15,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f276,f7243]) ).

fof(f7245,plain,
    ( sum(n15,sum(n14,succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f416,f7244]) ).

fof(f7246,plain,
    ( sum(n15,sum(n14,n1)) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f4,f7245]) ).

fof(f7247,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f261,f7246]) ).

fof(f7248,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f291,f7247]) ).

fof(f7249,plain,
    ( n14 != sum(sum(pred(n0),succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f416,f7248]) ).

fof(f7250,plain,
    ( n14 != sum(sum(n15,succ(n0)),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f20,f7249]) ).

fof(f7251,plain,
    ( n14 != sum(sum(n15,n1),n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f4,f7250]) ).

fof(f7252,plain,
    ( n14 != sum(n0,n14)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f277,f7251]) ).

fof(f7253,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7252,f50]) ).

fof(f7254,plain,
    ( ~ spl0_0
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f7253]) ).

fof(f7294,plain,
    ( sum(sum(pred(n14),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f458,f5335]) ).

fof(f7295,plain,
    ( sum(sum(n13,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f34,f7294]) ).

fof(f7296,plain,
    ( sum(n4,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f251,f7295]) ).

fof(f7297,plain,
    ( sum(n4,sum(n5,succ(n14))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f458,f7296]) ).

fof(f7298,plain,
    ( sum(n4,sum(n5,n15)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f18,f7297]) ).

fof(f7299,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f131,f7298]) ).

fof(f7300,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f104,f7299]) ).

fof(f7301,plain,
    ( n8 != sum(sum(pred(n14),succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f458,f7300]) ).

fof(f7302,plain,
    ( n8 != sum(sum(n13,succ(sk0_0)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f34,f7301]) ).

fof(f7303,plain,
    ( n8 != sum(sum(n13,succ(n14)),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f458,f7302]) ).

fof(f7304,plain,
    ( n8 != sum(sum(n13,n15),n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f18,f7303]) ).

fof(f7305,plain,
    ( n8 != sum(n12,n12)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f259,f7304]) ).

fof(f7306,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7305,f240]) ).

fof(f7307,plain,
    ( ~ spl0_14
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f7306]) ).

fof(f7308,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f7309,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f7308]) ).

fof(f7310,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f7309]) ).

fof(f7311,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f7310]) ).

fof(f7312,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f7311]) ).

fof(f7313,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f7312]) ).

fof(f7314,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f7313]) ).

fof(f7315,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f7314]) ).

fof(f7316,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f7315]) ).

fof(f7346,plain,
    ( sum(sum(n4,succ(n2)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f471,f685]) ).

fof(f7347,plain,
    ( sum(sum(n4,n3),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f6,f7346]) ).

fof(f7348,plain,
    ( sum(n7,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f103,f7347]) ).

fof(f7349,plain,
    ( sum(n7,sum(pred(n2),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f471,f7348]) ).

fof(f7350,plain,
    ( sum(n7,sum(n1,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f22,f7349]) ).

fof(f7351,plain,
    ( sum(n7,n7) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f58,f7350]) ).

fof(f7352,plain,
    ( n14 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f155,f7351]) ).

fof(f7353,plain,
    ( n14 != sum(n10,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f471,f7352]) ).

fof(f7354,plain,
    ( n14 != sum(n10,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f22,f7353]) ).

fof(f7355,plain,
    ( n14 != sum(n10,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f471,f7354]) ).

fof(f7356,plain,
    ( n14 != sum(n10,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f6,f7355]) ).

fof(f7357,plain,
    ( n14 != sum(n10,n4)
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f55,f7356]) ).

fof(f7358,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7357,f200]) ).

fof(f7359,plain,
    ( ~ spl0_18
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f7358]) ).

fof(f7360,plain,
    ( sum(sum(n5,succ(n2)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f471,f3689]) ).

fof(f7361,plain,
    ( sum(sum(n5,n3),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f6,f7360]) ).

fof(f7362,plain,
    ( sum(n8,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f119,f7361]) ).

fof(f7363,plain,
    ( sum(n8,sum(pred(n2),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f471,f7362]) ).

fof(f7364,plain,
    ( sum(n8,sum(n1,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f22,f7363]) ).

fof(f7365,plain,
    ( sum(n8,n8) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f59,f7364]) ).

fof(f7366,plain,
    ( n0 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f172,f7365]) ).

fof(f7367,plain,
    ( n0 != sum(n12,sum(pred(n2),succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f471,f7366]) ).

fof(f7368,plain,
    ( n0 != sum(n12,sum(n1,succ(sk0_1)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f22,f7367]) ).

fof(f7369,plain,
    ( n0 != sum(n12,sum(n1,succ(n2)))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f471,f7368]) ).

fof(f7370,plain,
    ( n0 != sum(n12,sum(n1,n3))
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f6,f7369]) ).

fof(f7371,plain,
    ( n0 != sum(n12,n4)
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f55,f7370]) ).

fof(f7372,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7371,f232]) ).

fof(f7373,plain,
    ( ~ spl0_18
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f7372]) ).

fof(f7411,plain,
    ( sum(sum(n1,succ(n9)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f492,f4550]) ).

fof(f7412,plain,
    ( sum(sum(n1,n10),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f13,f7411]) ).

fof(f7413,plain,
    ( sum(n11,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f62,f7412]) ).

fof(f7414,plain,
    ( sum(n11,sum(pred(n9),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f492,f7413]) ).

fof(f7415,plain,
    ( sum(n11,sum(n8,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f29,f7414]) ).

fof(f7416,plain,
    ( sum(n11,n11) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f167,f7415]) ).

fof(f7417,plain,
    ( n6 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f223,f7416]) ).

fof(f7418,plain,
    ( n6 != sum(n4,sum(pred(n9),succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f492,f7417]) ).

fof(f7419,plain,
    ( n6 != sum(n4,sum(n8,succ(sk0_1)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f29,f7418]) ).

fof(f7420,plain,
    ( n6 != sum(n4,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f492,f7419]) ).

fof(f7421,plain,
    ( n6 != sum(n4,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f13,f7420]) ).

fof(f7422,plain,
    ( n6 != sum(n4,n2)
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f174,f7421]) ).

fof(f7423,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7422,f102]) ).

fof(f7424,plain,
    ( ~ spl0_25
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f7423]) ).

fof(f7463,plain,
    ( sum(sum(pred(n12),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f452,f3454]) ).

fof(f7464,plain,
    ( sum(sum(n11,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f32,f7463]) ).

fof(f7465,plain,
    ( sum(n13,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f214,f7464]) ).

fof(f7466,plain,
    ( sum(n13,sum(n0,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f452,f7465]) ).

fof(f7467,plain,
    ( sum(n13,sum(n0,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f16,f7466]) ).

fof(f7468,plain,
    ( sum(n13,n13) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f49,f7467]) ).

fof(f7469,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f257,f7468]) ).

fof(f7470,plain,
    ( n10 != sum(sum(pred(n12),succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f452,f7469]) ).

fof(f7471,plain,
    ( n10 != sum(sum(n11,succ(sk0_0)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f32,f7470]) ).

fof(f7472,plain,
    ( n10 != sum(sum(n11,succ(n12)),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f452,f7471]) ).

fof(f7473,plain,
    ( n10 != sum(sum(n11,n13),n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f16,f7472]) ).

fof(f7474,plain,
    ( n10 != sum(n8,n2)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f225,f7473]) ).

fof(f7475,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7474,f166]) ).

fof(f7476,plain,
    ( ~ spl0_12
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f7475]) ).

fof(f7515,plain,
    ( sum(sum(pred(n14),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f458,f6220]) ).

fof(f7516,plain,
    ( sum(sum(n13,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f34,f7515]) ).

fof(f7517,plain,
    ( sum(n10,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f257,f7516]) ).

fof(f7518,plain,
    ( sum(n10,sum(n11,succ(n14))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f458,f7517]) ).

fof(f7519,plain,
    ( sum(n10,sum(n11,n15)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f18,f7518]) ).

fof(f7520,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f227,f7519]) ).

fof(f7521,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f206,f7520]) ).

fof(f7522,plain,
    ( n4 != sum(sum(pred(n14),succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f458,f7521]) ).

fof(f7523,plain,
    ( n4 != sum(sum(n13,succ(sk0_0)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f34,f7522]) ).

fof(f7524,plain,
    ( n4 != sum(sum(n13,succ(n14)),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f458,f7523]) ).

fof(f7525,plain,
    ( n4 != sum(sum(n13,n15),n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f18,f7524]) ).

fof(f7526,plain,
    ( n4 != sum(n12,n8)
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f259,f7525]) ).

fof(f7527,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7526,f236]) ).

fof(f7528,plain,
    ( ~ spl0_14
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f7527]) ).

fof(f7538,plain,
    ( sum(sum(pred(n14),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f458,f5193]) ).

fof(f7539,plain,
    ( sum(sum(n13,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f34,f7538]) ).

fof(f7540,plain,
    ( sum(n1,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f248,f7539]) ).

fof(f7541,plain,
    ( sum(n1,sum(n2,succ(n14))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f458,f7540]) ).

fof(f7542,plain,
    ( sum(n1,sum(n2,n15)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f18,f7541]) ).

fof(f7543,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f83,f7542]) ).

fof(f7544,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f53,f7543]) ).

fof(f7545,plain,
    ( n2 != sum(sum(pred(n14),succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f458,f7544]) ).

fof(f7546,plain,
    ( n2 != sum(sum(n13,succ(sk0_0)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f34,f7545]) ).

fof(f7547,plain,
    ( n2 != sum(sum(n13,succ(n14)),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f458,f7546]) ).

fof(f7548,plain,
    ( n2 != sum(sum(n13,n15),n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f18,f7547]) ).

fof(f7549,plain,
    ( n2 != sum(n12,n6)
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f259,f7548]) ).

fof(f7550,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7549,f234]) ).

fof(f7551,plain,
    ( ~ spl0_14
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f7550]) ).

fof(f7552,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f477,f294]) ).

fof(f7553,plain,
    ( sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f7552]) ).

fof(f7554,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f7553]) ).

fof(f7555,plain,
    ( sum(sum(pred(sk0_0),n5),sum(pred(n4),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f7554]) ).

fof(f7556,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f7555]) ).

fof(f7557,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n4),succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f7556]) ).

fof(f7558,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,succ(n4)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f24,f7557]) ).

fof(f7559,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,n5))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f7558]) ).

fof(f7560,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f89,f7559]) ).

fof(f7590,plain,
    ( sum(sum(pred(n7),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f437,f4128]) ).

fof(f7591,plain,
    ( sum(sum(n6,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f27,f7590]) ).

fof(f7592,plain,
    ( sum(n11,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f137,f7591]) ).

fof(f7593,plain,
    ( sum(n11,sum(n3,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f437,f7592]) ).

fof(f7594,plain,
    ( sum(n11,sum(n3,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f11,f7593]) ).

fof(f7595,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f92,f7594]) ).

fof(f7596,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f223,f7595]) ).

fof(f7597,plain,
    ( n6 != sum(sum(pred(n7),succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f437,f7596]) ).

fof(f7598,plain,
    ( n6 != sum(sum(n6,succ(sk0_0)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f27,f7597]) ).

fof(f7599,plain,
    ( n6 != sum(sum(n6,succ(n7)),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f437,f7598]) ).

fof(f7600,plain,
    ( n6 != sum(sum(n6,n8),n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f11,f7599]) ).

fof(f7601,plain,
    ( n6 != sum(n14,n8)
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f140,f7600]) ).

fof(f7602,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7601,f268]) ).

fof(f7603,plain,
    ( ~ spl0_7
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f7602]) ).

fof(f7604,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f495,f294]) ).

fof(f7605,plain,
    ( sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f7604]) ).

fof(f7606,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f7605]) ).

fof(f7607,plain,
    ( sum(sum(pred(sk0_0),n11),sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f7606]) ).

fof(f7608,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f7607]) ).

fof(f7609,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n10),succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f495,f7608]) ).

fof(f7610,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(n10)))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f7609]) ).

fof(f7611,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,n11))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f7610]) ).

fof(f7612,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f7611]) ).

fof(f7642,plain,
    ( sum(sum(pred(n11),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f449,f2220]) ).

fof(f7643,plain,
    ( sum(sum(n10,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f31,f7642]) ).

fof(f7644,plain,
    ( sum(n5,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f207,f7643]) ).

fof(f7645,plain,
    ( sum(n5,sum(n9,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f449,f7644]) ).

fof(f7646,plain,
    ( sum(n5,sum(n9,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f15,f7645]) ).

fof(f7647,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f192,f7646]) ).

fof(f7648,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f121,f7647]) ).

fof(f7649,plain,
    ( n10 != sum(sum(pred(n11),succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f449,f7648]) ).

fof(f7650,plain,
    ( n10 != sum(sum(n10,succ(sk0_0)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f31,f7649]) ).

fof(f7651,plain,
    ( n10 != sum(sum(n10,succ(n11)),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f449,f7650]) ).

fof(f7652,plain,
    ( n10 != sum(sum(n10,n12),n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f15,f7651]) ).

fof(f7653,plain,
    ( n10 != sum(n6,n4)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f208,f7652]) ).

fof(f7654,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7653,f136]) ).

fof(f7655,plain,
    ( ~ spl0_11
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f7654]) ).

fof(f7656,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f465,f294]) ).

fof(f7657,plain,
    ( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f7656]) ).

fof(f7658,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f7657]) ).

fof(f7659,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f7658]) ).

fof(f7660,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f7659]) ).

fof(f7661,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f7660]) ).

fof(f7662,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f7661]) ).

fof(f7663,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,n1))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f7662]) ).

fof(f7664,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f7663]) ).

fof(f7694,plain,
    ( sum(sum(pred(n7),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f437,f3289]) ).

fof(f7695,plain,
    ( sum(sum(n6,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f27,f7694]) ).

fof(f7696,plain,
    ( sum(n7,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f133,f7695]) ).

fof(f7697,plain,
    ( sum(n7,sum(n15,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f437,f7696]) ).

fof(f7698,plain,
    ( sum(n7,sum(n15,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f11,f7697]) ).

fof(f7699,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f284,f7698]) ).

fof(f7700,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f155,f7699]) ).

fof(f7701,plain,
    ( n14 != sum(sum(pred(n7),succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f437,f7700]) ).

fof(f7702,plain,
    ( n14 != sum(sum(n6,succ(sk0_0)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f27,f7701]) ).

fof(f7703,plain,
    ( n14 != sum(sum(n6,succ(n7)),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f437,f7702]) ).

fof(f7704,plain,
    ( n14 != sum(sum(n6,n8),n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f11,f7703]) ).

fof(f7705,plain,
    ( n14 != sum(n14,n0)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f140,f7704]) ).

fof(f7706,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7705,f260]) ).

fof(f7707,plain,
    ( ~ spl0_7
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f7706]) ).

fof(f7730,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f492,f4025]) ).

fof(f7731,plain,
    ( sum(sum(n14,succ(n9)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f492,f7730]) ).

fof(f7732,plain,
    ( sum(sum(n14,n10),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f13,f7731]) ).

fof(f7733,plain,
    ( sum(n8,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f270,f7732]) ).

fof(f7734,plain,
    ( sum(n8,sum(pred(n9),n0)) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f492,f7733]) ).

fof(f7735,plain,
    ( sum(n8,sum(n8,n0)) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f29,f7734]) ).

fof(f7736,plain,
    ( sum(n8,n8) != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f164,f7735]) ).

fof(f7737,plain,
    ( n0 != sum(n14,sum(pred(sk0_1),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f172,f7736]) ).

fof(f7738,plain,
    ( n0 != sum(n14,sum(pred(n9),succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f492,f7737]) ).

fof(f7739,plain,
    ( n0 != sum(n14,sum(n8,succ(n9)))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f29,f7738]) ).

fof(f7740,plain,
    ( n0 != sum(n14,sum(n8,n10))
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f13,f7739]) ).

fof(f7741,plain,
    ( n0 != sum(n14,n2)
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f174,f7740]) ).

fof(f7742,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7741,f262]) ).

fof(f7743,plain,
    ( ~ spl0_25
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f7742]) ).

fof(f7783,plain,
    ( sum(sum(n8,succ(n13)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f504,f3831]) ).

fof(f7784,plain,
    ( sum(sum(n8,n14),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f17,f7783]) ).

fof(f7785,plain,
    ( sum(n6,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f178,f7784]) ).

fof(f7786,plain,
    ( sum(n6,sum(pred(n13),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f504,f7785]) ).

fof(f7787,plain,
    ( sum(n6,sum(n12,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f33,f7786]) ).

fof(f7788,plain,
    ( sum(n6,n6) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f238,f7787]) ).

fof(f7789,plain,
    ( n12 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f138,f7788]) ).

fof(f7790,plain,
    ( n12 != sum(n2,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f504,f7789]) ).

fof(f7791,plain,
    ( n12 != sum(n2,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f33,f7790]) ).

fof(f7792,plain,
    ( n12 != sum(n2,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f504,f7791]) ).

fof(f7793,plain,
    ( n12 != sum(n2,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f17,f7792]) ).

fof(f7794,plain,
    ( n12 != sum(n2,n10)
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f242,f7793]) ).

fof(f7795,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7794,f78]) ).

fof(f7796,plain,
    ( ~ spl0_29
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f7795]) ).

fof(f7797,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f446,f294]) ).

fof(f7798,plain,
    ( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f7797]) ).

fof(f7799,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f7798]) ).

fof(f7800,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f7799]) ).

fof(f7801,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f7800]) ).

fof(f7802,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f7801]) ).

fof(f7803,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f7802]) ).

fof(f7804,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,n11),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f7803]) ).

fof(f7805,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f191,f7804]) ).

fof(f7835,plain,
    ( sum(sum(n9,succ(n14)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f507,f5735]) ).

fof(f7836,plain,
    ( sum(sum(n9,n15),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f18,f7835]) ).

fof(f7837,plain,
    ( sum(n8,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f195,f7836]) ).

fof(f7838,plain,
    ( sum(n8,sum(pred(n14),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f507,f7837]) ).

fof(f7839,plain,
    ( sum(n8,sum(n13,n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f34,f7838]) ).

fof(f7840,plain,
    ( sum(n8,n8) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f255,f7839]) ).

fof(f7841,plain,
    ( n0 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f172,f7840]) ).

fof(f7842,plain,
    ( n0 != sum(n4,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f507,f7841]) ).

fof(f7843,plain,
    ( n0 != sum(n4,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f34,f7842]) ).

fof(f7844,plain,
    ( n0 != sum(n4,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f507,f7843]) ).

fof(f7845,plain,
    ( n0 != sum(n4,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f18,f7844]) ).

fof(f7846,plain,
    ( n0 != sum(n4,n12)
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f259,f7845]) ).

fof(f7847,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7846,f112]) ).

fof(f7848,plain,
    ( ~ spl0_30
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f7847]) ).

fof(f7858,plain,
    ( sum(sum(n3,succ(n14)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f507,f3741]) ).

fof(f7859,plain,
    ( sum(sum(n3,n15),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f18,f7858]) ).

fof(f7860,plain,
    ( sum(n2,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f99,f7859]) ).

fof(f7861,plain,
    ( sum(n2,sum(pred(n14),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f507,f7860]) ).

fof(f7862,plain,
    ( sum(n2,sum(n13,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f34,f7861]) ).

fof(f7863,plain,
    ( sum(n2,n2) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f249,f7862]) ).

fof(f7864,plain,
    ( n4 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f70,f7863]) ).

fof(f7865,plain,
    ( n4 != sum(n8,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f507,f7864]) ).

fof(f7866,plain,
    ( n4 != sum(n8,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f34,f7865]) ).

fof(f7867,plain,
    ( n4 != sum(n8,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f507,f7866]) ).

fof(f7868,plain,
    ( n4 != sum(n8,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f18,f7867]) ).

fof(f7869,plain,
    ( n4 != sum(n8,n12)
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f259,f7868]) ).

fof(f7870,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7869,f176]) ).

fof(f7871,plain,
    ( ~ spl0_30
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f7870]) ).

fof(f7909,plain,
    ( sum(sum(n3,succ(n15)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f510,f832]) ).

fof(f7910,plain,
    ( sum(sum(n3,n0),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f19,f7909]) ).

fof(f7911,plain,
    ( sum(n3,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f84,f7910]) ).

fof(f7912,plain,
    ( sum(n3,sum(pred(n15),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f510,f7911]) ).

fof(f7913,plain,
    ( sum(n3,sum(n14,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f35,f7912]) ).

fof(f7914,plain,
    ( sum(n3,n3) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f265,f7913]) ).

fof(f7915,plain,
    ( n6 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f87,f7914]) ).

fof(f7916,plain,
    ( n6 != sum(n8,sum(pred(n15),succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f510,f7915]) ).

fof(f7917,plain,
    ( n6 != sum(n8,sum(n14,succ(sk0_1)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f35,f7916]) ).

fof(f7918,plain,
    ( n6 != sum(n8,sum(n14,succ(n15)))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f510,f7917]) ).

fof(f7919,plain,
    ( n6 != sum(n8,sum(n14,n0))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f19,f7918]) ).

fof(f7920,plain,
    ( n6 != sum(n8,n14)
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f260,f7919]) ).

fof(f7921,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7920,f178]) ).

fof(f7922,plain,
    ( ~ spl0_31
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f7921]) ).

fof(f7945,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f498,f6776]) ).

fof(f7946,plain,
    ( sum(sum(n4,succ(n11)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f498,f7945]) ).

fof(f7947,plain,
    ( sum(sum(n4,n12),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f15,f7946]) ).

fof(f7948,plain,
    ( sum(n0,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f112,f7947]) ).

fof(f7949,plain,
    ( sum(n0,sum(pred(n11),n6)) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f498,f7948]) ).

fof(f7950,plain,
    ( sum(n0,sum(n10,n6)) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f31,f7949]) ).

fof(f7951,plain,
    ( sum(n0,n0) != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f202,f7950]) ).

fof(f7952,plain,
    ( n0 != sum(n10,sum(pred(sk0_1),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f36,f7951]) ).

fof(f7953,plain,
    ( n0 != sum(n10,sum(pred(n11),succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f498,f7952]) ).

fof(f7954,plain,
    ( n0 != sum(n10,sum(n10,succ(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f31,f7953]) ).

fof(f7955,plain,
    ( n0 != sum(n10,sum(n10,n12))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f15,f7954]) ).

fof(f7956,plain,
    ( n0 != sum(n10,n6)
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f208,f7955]) ).

fof(f7957,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7956,f202]) ).

fof(f7958,plain,
    ( ~ spl0_27
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f7957]) ).

fof(f7959,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f434,f294]) ).

fof(f7960,plain,
    ( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f7959]) ).

fof(f7961,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f7960]) ).

fof(f7962,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f7961]) ).

fof(f7963,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f7962]) ).

fof(f7964,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f7963]) ).

fof(f7965,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f7964]) ).

fof(f7966,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f7965]) ).

fof(f7967,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f7966]) ).

fof(f7998,plain,
    ( sum(sum(n5,succ(n6)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f483,f6020]) ).

fof(f7999,plain,
    ( sum(sum(n5,n7),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f7998]) ).

fof(f8000,plain,
    ( sum(n12,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f7999]) ).

fof(f8001,plain,
    ( sum(n12,sum(pred(n6),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f483,f8000]) ).

fof(f8002,plain,
    ( sum(n12,sum(n5,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f8001]) ).

fof(f8003,plain,
    ( sum(n12,n12) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f8002]) ).

fof(f8004,plain,
    ( n8 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f240,f8003]) ).

fof(f8005,plain,
    ( n8 != sum(n12,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f483,f8004]) ).

fof(f8006,plain,
    ( n8 != sum(n12,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f8005]) ).

fof(f8007,plain,
    ( n8 != sum(n12,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f483,f8006]) ).

fof(f8008,plain,
    ( n8 != sum(n12,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f8007]) ).

fof(f8009,plain,
    ( n8 != sum(n12,n12)
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f8008]) ).

fof(f8010,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8009,f240]) ).

fof(f8011,plain,
    ( ~ spl0_22
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f8010]) ).

fof(f8050,plain,
    ( sum(sum(pred(n2),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f422,f1809]) ).

fof(f8051,plain,
    ( sum(sum(n1,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f22,f8050]) ).

fof(f8052,plain,
    ( sum(n3,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f54,f8051]) ).

fof(f8053,plain,
    ( sum(n3,sum(n0,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f422,f8052]) ).

fof(f8054,plain,
    ( sum(n3,sum(n0,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f6,f8053]) ).

fof(f8055,plain,
    ( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f39,f8054]) ).

fof(f8056,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f87,f8055]) ).

fof(f8057,plain,
    ( n6 != sum(sum(pred(n2),succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f422,f8056]) ).

fof(f8058,plain,
    ( n6 != sum(sum(n1,succ(sk0_0)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f22,f8057]) ).

fof(f8059,plain,
    ( n6 != sum(sum(n1,succ(n2)),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f422,f8058]) ).

fof(f8060,plain,
    ( n6 != sum(sum(n1,n3),n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f6,f8059]) ).

fof(f8061,plain,
    ( n6 != sum(n4,n2)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f55,f8060]) ).

fof(f8062,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8061,f102]) ).

fof(f8063,plain,
    ( ~ spl0_2
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f8062]) ).

fof(f8065,plain,
    ( sum(sum(n7,succ(n1)),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f468,f808]) ).

fof(f8066,plain,
    ( sum(sum(n7,n2),sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f5,f8065]) ).

fof(f8067,plain,
    ( sum(n9,sum(pred(sk0_1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f150,f8066]) ).

fof(f8068,plain,
    ( sum(n9,sum(pred(n1),n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f468,f8067]) ).

fof(f8069,plain,
    ( sum(n9,sum(n0,n9)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f21,f8068]) ).

fof(f8070,plain,
    ( sum(n9,n9) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f45,f8069]) ).

fof(f8071,plain,
    ( n2 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f189,f8070]) ).

fof(f8072,plain,
    ( n2 != sum(n0,sum(pred(n1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f468,f8071]) ).

fof(f8073,plain,
    ( n2 != sum(n0,sum(n0,succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f21,f8072]) ).

fof(f8074,plain,
    ( n2 != sum(n0,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f468,f8073]) ).

fof(f8075,plain,
    ( n2 != sum(n0,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f5,f8074]) ).

fof(f8076,plain,
    ( n2 != sum(n0,n2)
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f38,f8075]) ).

fof(f8077,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8076,f38]) ).

fof(f8078,plain,
    ( ~ spl0_17
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f8077]) ).

fof(f8118,plain,
    ( sum(sum(pred(n11),n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f449,f5579]) ).

fof(f8119,plain,
    ( sum(sum(n10,n13),sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f31,f8118]) ).

fof(f8120,plain,
    ( sum(n7,sum(n11,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f209,f8119]) ).

fof(f8121,plain,
    ( sum(n7,sum(n11,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f449,f8120]) ).

fof(f8122,plain,
    ( sum(n7,sum(n11,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f15,f8121]) ).

fof(f8123,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f224,f8122]) ).

fof(f8124,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f155,f8123]) ).

fof(f8125,plain,
    ( n14 != sum(sum(pred(n11),succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f449,f8124]) ).

fof(f8126,plain,
    ( n14 != sum(sum(n10,succ(sk0_0)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f31,f8125]) ).

fof(f8127,plain,
    ( n14 != sum(sum(n10,succ(n11)),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f449,f8126]) ).

fof(f8128,plain,
    ( n14 != sum(sum(n10,n12),n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f15,f8127]) ).

fof(f8129,plain,
    ( n14 != sum(n6,n8)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f208,f8128]) ).

fof(f8130,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8129,f140]) ).

fof(f8131,plain,
    ( ~ spl0_11
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f8130]) ).

fof(f8170,plain,
    ( sum(sum(pred(n12),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f452,f6659]) ).

fof(f8171,plain,
    ( sum(sum(n11,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f32,f8170]) ).

fof(f8172,plain,
    ( sum(n0,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f217,f8171]) ).

fof(f8173,plain,
    ( sum(n0,sum(n3,succ(n12))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f452,f8172]) ).

fof(f8174,plain,
    ( sum(n0,sum(n3,n13)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f16,f8173]) ).

fof(f8175,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f97,f8174]) ).

fof(f8176,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f36,f8175]) ).

fof(f8177,plain,
    ( n0 != sum(sum(pred(n12),succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f452,f8176]) ).

fof(f8178,plain,
    ( n0 != sum(sum(n11,succ(sk0_0)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f32,f8177]) ).

fof(f8179,plain,
    ( n0 != sum(sum(n11,succ(n12)),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f452,f8178]) ).

fof(f8180,plain,
    ( n0 != sum(sum(n11,n13),n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f16,f8179]) ).

fof(f8181,plain,
    ( n0 != sum(n8,n8)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f225,f8180]) ).

fof(f8182,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8181,f172]) ).

fof(f8183,plain,
    ( ~ spl0_12
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f8182]) ).

fof(f8208,plain,
    ( sum(sum(pred(sk0_0),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f458,f6374]) ).

fof(f8209,plain,
    ( sum(sum(pred(n14),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f458,f8208]) ).

fof(f8210,plain,
    ( sum(sum(n13,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f34,f8209]) ).

fof(f8211,plain,
    ( sum(n8,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f255,f8210]) ).

fof(f8212,plain,
    ( sum(n8,sum(n9,succ(n14))) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f458,f8211]) ).

fof(f8213,plain,
    ( sum(n8,sum(n9,n15)) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f18,f8212]) ).

fof(f8214,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f195,f8213]) ).

fof(f8215,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f172,f8214]) ).

fof(f8216,plain,
    ( n0 != sum(sum(pred(n14),succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f458,f8215]) ).

fof(f8217,plain,
    ( n0 != sum(sum(n13,succ(n14)),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f34,f8216]) ).

fof(f8218,plain,
    ( n0 != sum(sum(n13,n15),n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f18,f8217]) ).

fof(f8219,plain,
    ( n0 != sum(n12,n4)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f259,f8218]) ).

fof(f8220,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8219,f232]) ).

fof(f8221,plain,
    ( ~ spl0_14
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f8220]) ).

fof(f8222,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f465,f294]) ).

fof(f8223,plain,
    ( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f8222]) ).

fof(f8224,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f8223]) ).

fof(f8225,plain,
    ( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f8224]) ).

fof(f8226,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f8225]) ).

fof(f8227,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f465,f8226]) ).

fof(f8228,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,succ(n0)))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f8227]) ).

fof(f8229,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n15,n1))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f8228]) ).

fof(f8230,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f8229]) ).

fof(f8260,plain,
    ( sum(sum(pred(n1),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f419,f6168]) ).

fof(f8261,plain,
    ( sum(sum(n0,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f21,f8260]) ).

fof(f8262,plain,
    ( sum(n1,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f37,f8261]) ).

fof(f8263,plain,
    ( sum(n1,sum(n15,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f419,f8262]) ).

fof(f8264,plain,
    ( sum(n1,sum(n15,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f5,f8263]) ).

fof(f8265,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f278,f8264]) ).

fof(f8266,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f53,f8265]) ).

fof(f8267,plain,
    ( n2 != sum(sum(pred(n1),succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f419,f8266]) ).

fof(f8268,plain,
    ( n2 != sum(sum(n0,succ(sk0_0)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f21,f8267]) ).

fof(f8269,plain,
    ( n2 != sum(sum(n0,succ(n1)),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f419,f8268]) ).

fof(f8270,plain,
    ( n2 != sum(sum(n0,n2),n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f5,f8269]) ).

fof(f8271,plain,
    ( n2 != sum(n2,n0)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f38,f8270]) ).

fof(f8272,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8271,f68]) ).

fof(f8273,plain,
    ( ~ spl0_1
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f8272]) ).

fof(f8274,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f461,f294]) ).

fof(f8275,plain,
    ( sum(sum(pred(n15),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f8274]) ).

fof(f8276,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f8275]) ).

fof(f8277,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f8276]) ).

fof(f8278,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f8277]) ).

fof(f8279,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n15),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f8278]) ).

fof(f8280,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f8279]) ).

fof(f8281,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,n0),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f8280]) ).

fof(f8282,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f260,f8281]) ).

fof(f8312,plain,
    ( sum(sum(n14,succ(n6)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f483,f7062]) ).

fof(f8313,plain,
    ( sum(sum(n14,n7),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f10,f8312]) ).

fof(f8314,plain,
    ( sum(n5,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f267,f8313]) ).

fof(f8315,plain,
    ( sum(n5,sum(pred(n6),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f483,f8314]) ).

fof(f8316,plain,
    ( sum(n5,sum(n5,n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f26,f8315]) ).

fof(f8317,plain,
    ( sum(n5,n5) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f116,f8316]) ).

fof(f8318,plain,
    ( n10 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f121,f8317]) ).

fof(f8319,plain,
    ( n10 != sum(n14,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f483,f8318]) ).

fof(f8320,plain,
    ( n10 != sum(n14,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f26,f8319]) ).

fof(f8321,plain,
    ( n10 != sum(n14,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f483,f8320]) ).

fof(f8322,plain,
    ( n10 != sum(n14,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f10,f8321]) ).

fof(f8323,plain,
    ( n10 != sum(n14,n12)
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f123,f8322]) ).

fof(f8324,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8323,f272]) ).

fof(f8325,plain,
    ( ~ spl0_22
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f8324]) ).

fof(f8326,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f8327,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f8326]) ).

fof(f8328,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f8327]) ).

fof(f8329,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f8328]) ).

fof(f8330,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f8329]) ).

fof(f8331,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f8330]) ).

fof(f8332,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f8331]) ).

fof(f8333,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f8332]) ).

fof(f8334,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f8333]) ).

fof(f8350,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f474,f7098]) ).

fof(f8351,plain,
    ( sum(sum(n8,succ(n3)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f474,f8350]) ).

fof(f8352,plain,
    ( sum(sum(n8,n4),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f7,f8351]) ).

fof(f8353,plain,
    ( sum(n12,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f168,f8352]) ).

fof(f8354,plain,
    ( sum(n12,sum(pred(n3),n10)) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f474,f8353]) ).

fof(f8355,plain,
    ( sum(n12,sum(n2,n10)) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f23,f8354]) ).

fof(f8356,plain,
    ( sum(n12,n12) != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f78,f8355]) ).

fof(f8357,plain,
    ( n8 != sum(n2,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f240,f8356]) ).

fof(f8358,plain,
    ( n8 != sum(n2,sum(pred(n3),succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f474,f8357]) ).

fof(f8359,plain,
    ( n8 != sum(n2,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f23,f8358]) ).

fof(f8360,plain,
    ( n8 != sum(n2,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f7,f8359]) ).

fof(f8361,plain,
    ( n8 != sum(n2,n6)
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f72,f8360]) ).

fof(f8362,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8361,f74]) ).

fof(f8363,plain,
    ( ~ spl0_19
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f8362]) ).

fof(f8364,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f446,f294]) ).

fof(f8365,plain,
    ( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f8364]) ).

fof(f8366,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f8365]) ).

fof(f8367,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f8366]) ).

fof(f8368,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f8367]) ).

fof(f8369,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f446,f8368]) ).

fof(f8370,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f30,f8369]) ).

fof(f8371,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(sum(n9,n11),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f14,f8370]) ).

fof(f8372,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f191,f8371]) ).

fof(f8402,plain,
    ( sum(sum(n9,succ(n6)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f483,f6517]) ).

fof(f8403,plain,
    ( sum(sum(n9,n7),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f10,f8402]) ).

fof(f8404,plain,
    ( sum(n0,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f187,f8403]) ).

fof(f8405,plain,
    ( sum(n0,sum(pred(n6),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f483,f8404]) ).

fof(f8406,plain,
    ( sum(n0,sum(n5,n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f26,f8405]) ).

fof(f8407,plain,
    ( sum(n0,n0) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f127,f8406]) ).

fof(f8408,plain,
    ( n0 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f36,f8407]) ).

fof(f8409,plain,
    ( n0 != sum(n4,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f483,f8408]) ).

fof(f8410,plain,
    ( n0 != sum(n4,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f26,f8409]) ).

fof(f8411,plain,
    ( n0 != sum(n4,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f483,f8410]) ).

fof(f8412,plain,
    ( n0 != sum(n4,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f10,f8411]) ).

fof(f8413,plain,
    ( n0 != sum(n4,n12)
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f123,f8412]) ).

fof(f8414,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8413,f112]) ).

fof(f8415,plain,
    ( ~ spl0_22
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f8414]) ).

fof(f8446,plain,
    ( sum(sum(pred(n7),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f437,f7225]) ).

fof(f8447,plain,
    ( sum(sum(n6,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f27,f8446]) ).

fof(f8448,plain,
    ( sum(n6,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f132,f8447]) ).

fof(f8449,plain,
    ( sum(n6,sum(n14,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f437,f8448]) ).

fof(f8450,plain,
    ( sum(n6,sum(n14,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f11,f8449]) ).

fof(f8451,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f268,f8450]) ).

fof(f8452,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f138,f8451]) ).

fof(f8453,plain,
    ( n12 != sum(sum(pred(n7),succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f437,f8452]) ).

fof(f8454,plain,
    ( n12 != sum(sum(n6,succ(sk0_0)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f27,f8453]) ).

fof(f8455,plain,
    ( n12 != sum(sum(n6,succ(n7)),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f437,f8454]) ).

fof(f8456,plain,
    ( n12 != sum(sum(n6,n8),n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f11,f8455]) ).

fof(f8457,plain,
    ( n12 != sum(n14,n14)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f140,f8456]) ).

fof(f8458,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8457,f274]) ).

fof(f8459,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f8458]) ).

fof(f8473,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f8474,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f8473]) ).

fof(f8475,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f8474]) ).

fof(f8476,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f8475]) ).

fof(f8477,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f8476]) ).

fof(f8478,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f8477]) ).

fof(f8479,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f8478]) ).

fof(f8480,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f8479]) ).

fof(f8481,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f8480]) ).

fof(f8511,plain,
    ( sum(sum(n4,succ(n5)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f480,f5968]) ).

fof(f8512,plain,
    ( sum(sum(n4,n6),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f8511]) ).

fof(f8513,plain,
    ( sum(n10,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f8512]) ).

fof(f8514,plain,
    ( sum(n10,sum(pred(n5),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f480,f8513]) ).

fof(f8515,plain,
    ( sum(n10,sum(n4,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f8514]) ).

fof(f8516,plain,
    ( sum(n10,n10) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f8515]) ).

fof(f8517,plain,
    ( n4 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f206,f8516]) ).

fof(f8518,plain,
    ( n4 != sum(n10,sum(pred(n5),succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f480,f8517]) ).

fof(f8519,plain,
    ( n4 != sum(n10,sum(n4,succ(sk0_1)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f8518]) ).

fof(f8520,plain,
    ( n4 != sum(n10,sum(n4,succ(n5)))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f480,f8519]) ).

fof(f8521,plain,
    ( n4 != sum(n10,sum(n4,n6))
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f8520]) ).

fof(f8522,plain,
    ( n4 != sum(n10,n10)
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f8521]) ).

fof(f8523,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8522,f206]) ).

fof(f8524,plain,
    ( ~ spl0_21
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f8523]) ).

fof(f8525,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f434,f294]) ).

fof(f8526,plain,
    ( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f8525]) ).

fof(f8527,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f8526]) ).

fof(f8528,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f8527]) ).

fof(f8529,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f8528]) ).

fof(f8530,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f8529]) ).

fof(f8531,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f8530]) ).

fof(f8532,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f8531]) ).

fof(f8533,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f8532]) ).

fof(f8563,plain,
    ( sum(sum(n5,succ(n14)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f507,f3689]) ).

fof(f8564,plain,
    ( sum(sum(n5,n15),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f18,f8563]) ).

fof(f8565,plain,
    ( sum(n4,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f131,f8564]) ).

fof(f8566,plain,
    ( sum(n4,sum(pred(n14),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f507,f8565]) ).

fof(f8567,plain,
    ( sum(n4,sum(n13,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f34,f8566]) ).

fof(f8568,plain,
    ( sum(n4,n4) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f251,f8567]) ).

fof(f8569,plain,
    ( n8 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f104,f8568]) ).

fof(f8570,plain,
    ( n8 != sum(n12,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f507,f8569]) ).

fof(f8571,plain,
    ( n8 != sum(n12,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f34,f8570]) ).

fof(f8572,plain,
    ( n8 != sum(n12,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f507,f8571]) ).

fof(f8573,plain,
    ( n8 != sum(n12,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f18,f8572]) ).

fof(f8574,plain,
    ( n8 != sum(n12,n12)
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f259,f8573]) ).

fof(f8575,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8574,f240]) ).

fof(f8576,plain,
    ( ~ spl0_30
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f8575]) ).

fof(f8586,plain,
    ( sum(sum(n1,succ(n14)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f507,f3349]) ).

fof(f8587,plain,
    ( sum(sum(n1,n15),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f18,f8586]) ).

fof(f8588,plain,
    ( sum(n0,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f67,f8587]) ).

fof(f8589,plain,
    ( sum(n0,sum(pred(n14),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f507,f8588]) ).

fof(f8590,plain,
    ( sum(n0,sum(n13,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f34,f8589]) ).

fof(f8591,plain,
    ( sum(n0,n0) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f247,f8590]) ).

fof(f8592,plain,
    ( n0 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f36,f8591]) ).

fof(f8593,plain,
    ( n0 != sum(n4,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f507,f8592]) ).

fof(f8594,plain,
    ( n0 != sum(n4,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f34,f8593]) ).

fof(f8595,plain,
    ( n0 != sum(n4,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f507,f8594]) ).

fof(f8596,plain,
    ( n0 != sum(n4,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f18,f8595]) ).

fof(f8597,plain,
    ( n0 != sum(n4,n12)
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f259,f8596]) ).

fof(f8598,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8597,f112]) ).

fof(f8599,plain,
    ( ~ spl0_30
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f8598]) ).

fof(f8652,plain,
    ( sum(sum(pred(n8),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f440,f3401]) ).

fof(f8653,plain,
    ( sum(sum(n7,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f28,f8652]) ).

fof(f8654,plain,
    ( sum(n12,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f153,f8653]) ).

fof(f8655,plain,
    ( sum(n12,sum(n3,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f440,f8654]) ).

fof(f8656,plain,
    ( sum(n12,sum(n3,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f12,f8655]) ).

fof(f8657,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f93,f8656]) ).

fof(f8658,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f240,f8657]) ).

fof(f8659,plain,
    ( n8 != sum(sum(pred(n8),succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f440,f8658]) ).

fof(f8660,plain,
    ( n8 != sum(sum(n7,succ(sk0_0)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f28,f8659]) ).

fof(f8661,plain,
    ( n8 != sum(sum(n7,succ(n8)),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f440,f8660]) ).

fof(f8662,plain,
    ( n8 != sum(sum(n7,n9),n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f12,f8661]) ).

fof(f8663,plain,
    ( n8 != sum(n0,n8)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f157,f8662]) ).

fof(f8664,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8663,f44]) ).

fof(f8665,plain,
    ( ~ spl0_8
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f8664]) ).

fof(f8703,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f416,f2666]) ).

fof(f8704,plain,
    ( sum(sum(pred(n0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f416,f8703]) ).

fof(f8705,plain,
    ( sum(sum(n15,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f8704]) ).

fof(f8706,plain,
    ( sum(n0,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f8705]) ).

fof(f8707,plain,
    ( sum(n0,sum(n15,succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f416,f8706]) ).

fof(f8708,plain,
    ( sum(n0,sum(n15,n1)) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f8707]) ).

fof(f8709,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f8708]) ).

fof(f8710,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f36,f8709]) ).

fof(f8711,plain,
    ( n0 != sum(sum(pred(n0),succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f416,f8710]) ).

fof(f8712,plain,
    ( n0 != sum(sum(n15,succ(n0)),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f20,f8711]) ).

fof(f8713,plain,
    ( n0 != sum(sum(n15,n1),n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f4,f8712]) ).

fof(f8714,plain,
    ( n0 != sum(n0,n0)
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f277,f8713]) ).

fof(f8715,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8714,f36]) ).

fof(f8716,plain,
    ( ~ spl0_0
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f8715]) ).

fof(f8755,plain,
    ( sum(sum(n14,succ(n10)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f495,f6272]) ).

fof(f8756,plain,
    ( sum(sum(n14,n11),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f14,f8755]) ).

fof(f8757,plain,
    ( sum(n9,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f271,f8756]) ).

fof(f8758,plain,
    ( sum(n9,sum(pred(n10),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f495,f8757]) ).

fof(f8759,plain,
    ( sum(n9,sum(n9,n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f30,f8758]) ).

fof(f8760,plain,
    ( sum(n9,n9) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f180,f8759]) ).

fof(f8761,plain,
    ( n2 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f189,f8760]) ).

fof(f8762,plain,
    ( n2 != sum(n14,sum(pred(n10),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f495,f8761]) ).

fof(f8763,plain,
    ( n2 != sum(n14,sum(n9,succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f30,f8762]) ).

fof(f8764,plain,
    ( n2 != sum(n14,sum(n9,succ(n10)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f495,f8763]) ).

fof(f8765,plain,
    ( n2 != sum(n14,sum(n9,n11))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f14,f8764]) ).

fof(f8766,plain,
    ( n2 != sum(n14,n4)
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f191,f8765]) ).

fof(f8767,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8766,f264]) ).

fof(f8768,plain,
    ( ~ spl0_26
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f8767]) ).

fof(f8778,plain,
    ( sum(sum(n8,succ(n10)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f495,f8334]) ).

fof(f8779,plain,
    ( sum(sum(n8,n11),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f14,f8778]) ).

fof(f8780,plain,
    ( sum(n3,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f175,f8779]) ).

fof(f8781,plain,
    ( sum(n3,sum(pred(n10),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f495,f8780]) ).

fof(f8782,plain,
    ( sum(n3,sum(n9,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f30,f8781]) ).

fof(f8783,plain,
    ( sum(n3,n3) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f190,f8782]) ).

fof(f8784,plain,
    ( n6 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f87,f8783]) ).

fof(f8785,plain,
    ( n6 != sum(n2,sum(pred(n10),succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f495,f8784]) ).

fof(f8786,plain,
    ( n6 != sum(n2,sum(n9,succ(sk0_1)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f30,f8785]) ).

fof(f8787,plain,
    ( n6 != sum(n2,sum(n9,succ(n10)))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f495,f8786]) ).

fof(f8788,plain,
    ( n6 != sum(n2,sum(n9,n11))
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f14,f8787]) ).

fof(f8789,plain,
    ( n6 != sum(n2,n4)
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f191,f8788]) ).

fof(f8790,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8789,f72]) ).

fof(f8791,plain,
    ( ~ spl0_26
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f8790]) ).

fof(f8830,plain,
    ( sum(sum(n9,succ(n12)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f501,f7805]) ).

fof(f8831,plain,
    ( sum(sum(n9,n13),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f16,f8830]) ).

fof(f8832,plain,
    ( sum(n6,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f193,f8831]) ).

fof(f8833,plain,
    ( sum(n6,sum(pred(n12),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f501,f8832]) ).

fof(f8834,plain,
    ( sum(n6,sum(n11,n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f32,f8833]) ).

fof(f8835,plain,
    ( sum(n6,n6) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f223,f8834]) ).

fof(f8836,plain,
    ( n12 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f138,f8835]) ).

fof(f8837,plain,
    ( n12 != sum(n4,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f501,f8836]) ).

fof(f8838,plain,
    ( n12 != sum(n4,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f32,f8837]) ).

fof(f8839,plain,
    ( n12 != sum(n4,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f501,f8838]) ).

fof(f8840,plain,
    ( n12 != sum(n4,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f16,f8839]) ).

fof(f8841,plain,
    ( n12 != sum(n4,n8)
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f225,f8840]) ).

fof(f8842,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8841,f108]) ).

fof(f8843,plain,
    ( ~ spl0_28
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f8842]) ).

fof(f8844,plain,
    ( sum(sum(pred(n10),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f446,f6865]) ).

fof(f8845,plain,
    ( sum(sum(n9,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f30,f8844]) ).

fof(f8846,plain,
    ( sum(n11,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f182,f8845]) ).

fof(f8847,plain,
    ( sum(n11,sum(n0,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f446,f8846]) ).

fof(f8848,plain,
    ( sum(n11,sum(n0,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f14,f8847]) ).

fof(f8849,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f47,f8848]) ).

fof(f8850,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f223,f8849]) ).

fof(f8851,plain,
    ( n6 != sum(sum(pred(n10),succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f446,f8850]) ).

fof(f8852,plain,
    ( n6 != sum(sum(n9,succ(sk0_0)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f30,f8851]) ).

fof(f8853,plain,
    ( n6 != sum(sum(n9,succ(n10)),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f446,f8852]) ).

fof(f8854,plain,
    ( n6 != sum(sum(n9,n11),n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f14,f8853]) ).

fof(f8855,plain,
    ( n6 != sum(n4,n2)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f191,f8854]) ).

fof(f8856,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8855,f102]) ).

fof(f8857,plain,
    ( ~ spl0_10
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f8856]) ).

fof(f8882,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f495,f7316]) ).

fof(f8883,plain,
    ( sum(sum(n4,succ(n10)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f495,f8882]) ).

fof(f8884,plain,
    ( sum(sum(n4,n11),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f14,f8883]) ).

fof(f8885,plain,
    ( sum(n15,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f111,f8884]) ).

fof(f8886,plain,
    ( sum(n15,sum(pred(n10),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f495,f8885]) ).

fof(f8887,plain,
    ( sum(n15,sum(n9,n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f30,f8886]) ).

fof(f8888,plain,
    ( sum(n15,n15) != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f186,f8887]) ).

fof(f8889,plain,
    ( n14 != sum(n10,sum(pred(sk0_1),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f291,f8888]) ).

fof(f8890,plain,
    ( n14 != sum(n10,sum(pred(n10),succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f495,f8889]) ).

fof(f8891,plain,
    ( n14 != sum(n10,sum(n9,succ(n10)))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f30,f8890]) ).

fof(f8892,plain,
    ( n14 != sum(n10,sum(n9,n11))
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f14,f8891]) ).

fof(f8893,plain,
    ( n14 != sum(n10,n4)
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f191,f8892]) ).

fof(f8894,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8893,f200]) ).

fof(f8895,plain,
    ( ~ spl0_26
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f8894]) ).

fof(f8920,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f468,f7967]) ).

fof(f8921,plain,
    ( sum(sum(n5,succ(n1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f468,f8920]) ).

fof(f8922,plain,
    ( sum(sum(n5,n2),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f5,f8921]) ).

fof(f8923,plain,
    ( sum(n7,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f118,f8922]) ).

fof(f8924,plain,
    ( sum(n7,sum(pred(n1),n7)) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f468,f8923]) ).

fof(f8925,plain,
    ( sum(n7,sum(n0,n7)) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f21,f8924]) ).

fof(f8926,plain,
    ( sum(n7,n7) != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f43,f8925]) ).

fof(f8927,plain,
    ( n14 != sum(n12,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f155,f8926]) ).

fof(f8928,plain,
    ( n14 != sum(n12,sum(pred(n1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f468,f8927]) ).

fof(f8929,plain,
    ( n14 != sum(n12,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f21,f8928]) ).

fof(f8930,plain,
    ( n14 != sum(n12,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f5,f8929]) ).

fof(f8931,plain,
    ( n14 != sum(n12,n2)
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f38,f8930]) ).

fof(f8932,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8931,f230]) ).

fof(f8933,plain,
    ( ~ spl0_17
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f8932]) ).

fof(f8956,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f422,f5141]) ).

fof(f8957,plain,
    ( sum(sum(pred(n2),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f422,f8956]) ).

fof(f8958,plain,
    ( sum(sum(n1,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f22,f8957]) ).

fof(f8959,plain,
    ( sum(n1,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f52,f8958]) ).

fof(f8960,plain,
    ( sum(n1,sum(n14,succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f422,f8959]) ).

fof(f8961,plain,
    ( sum(n1,sum(n14,n3)) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f6,f8960]) ).

fof(f8962,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f263,f8961]) ).

fof(f8963,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f53,f8962]) ).

fof(f8964,plain,
    ( n2 != sum(sum(pred(n2),succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f422,f8963]) ).

fof(f8965,plain,
    ( n2 != sum(sum(n1,succ(n2)),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f22,f8964]) ).

fof(f8966,plain,
    ( n2 != sum(sum(n1,n3),n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f6,f8965]) ).

fof(f8967,plain,
    ( n2 != sum(n4,n14)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f55,f8966]) ).

fof(f8968,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8967,f114]) ).

fof(f8969,plain,
    ( ~ spl0_2
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f8968]) ).

fof(f8995,plain,
    ( sum(sum(pred(n2),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f422,f7612]) ).

fof(f8996,plain,
    ( sum(sum(n1,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f22,f8995]) ).

fof(f8997,plain,
    ( sum(n12,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f63,f8996]) ).

fof(f8998,plain,
    ( sum(n12,sum(n9,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f422,f8997]) ).

fof(f8999,plain,
    ( sum(n12,sum(n9,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f6,f8998]) ).

fof(f9000,plain,
    ( sum(n12,n12) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f183,f8999]) ).

fof(f9001,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f240,f9000]) ).

fof(f9002,plain,
    ( n8 != sum(sum(pred(n2),succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f422,f9001]) ).

fof(f9003,plain,
    ( n8 != sum(sum(n1,succ(sk0_0)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f22,f9002]) ).

fof(f9004,plain,
    ( n8 != sum(sum(n1,succ(n2)),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f422,f9003]) ).

fof(f9005,plain,
    ( n8 != sum(sum(n1,n3),n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f6,f9004]) ).

fof(f9006,plain,
    ( n8 != sum(n4,n4)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f55,f9005]) ).

fof(f9007,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9006,f104]) ).

fof(f9008,plain,
    ( ~ spl0_2
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f9007]) ).

fof(f9048,plain,
    ( sum(sum(pred(n11),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f449,f7664]) ).

fof(f9049,plain,
    ( sum(sum(n10,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f31,f9048]) ).

fof(f9050,plain,
    ( sum(n11,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f197,f9049]) ).

fof(f9051,plain,
    ( sum(n11,sum(n15,succ(n11))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f449,f9050]) ).

fof(f9052,plain,
    ( sum(n11,sum(n15,n12)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f15,f9051]) ).

fof(f9053,plain,
    ( sum(n11,n11) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f288,f9052]) ).

fof(f9054,plain,
    ( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f223,f9053]) ).

fof(f9055,plain,
    ( n6 != sum(sum(pred(n11),succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f449,f9054]) ).

fof(f9056,plain,
    ( n6 != sum(sum(n10,succ(sk0_0)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f31,f9055]) ).

fof(f9057,plain,
    ( n6 != sum(sum(n10,succ(n11)),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f449,f9056]) ).

fof(f9058,plain,
    ( n6 != sum(sum(n10,n12),n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f15,f9057]) ).

fof(f9059,plain,
    ( n6 != sum(n6,n0)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f208,f9058]) ).

fof(f9060,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9059,f132]) ).

fof(f9061,plain,
    ( ~ spl0_11
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f9060]) ).

fof(f9062,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f461,f294]) ).

fof(f9063,plain,
    ( sum(sum(pred(n15),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f9062]) ).

fof(f9064,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f9063]) ).

fof(f9065,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f9064]) ).

fof(f9066,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f9065]) ).

fof(f9067,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n15),succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f461,f9066]) ).

fof(f9068,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,succ(n15)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f9067]) ).

fof(f9069,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n14,n0),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f9068]) ).

fof(f9070,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f260,f9069]) ).

fof(f9100,plain,
    ( sum(sum(n14,succ(n4)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f477,f4025]) ).

fof(f9101,plain,
    ( sum(sum(n14,n5),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f8,f9100]) ).

fof(f9102,plain,
    ( sum(n3,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f265,f9101]) ).

fof(f9103,plain,
    ( sum(n3,sum(pred(n4),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f477,f9102]) ).

fof(f9104,plain,
    ( sum(n3,sum(n3,n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f24,f9103]) ).

fof(f9105,plain,
    ( sum(n3,n3) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f84,f9104]) ).

fof(f9106,plain,
    ( n6 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f87,f9105]) ).

fof(f9107,plain,
    ( n6 != sum(n14,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f477,f9106]) ).

fof(f9108,plain,
    ( n6 != sum(n14,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f24,f9107]) ).

fof(f9109,plain,
    ( n6 != sum(n14,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f477,f9108]) ).

fof(f9110,plain,
    ( n6 != sum(n14,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f8,f9109]) ).

fof(f9111,plain,
    ( n6 != sum(n14,n8)
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f89,f9110]) ).

fof(f9112,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9111,f268]) ).

fof(f9113,plain,
    ( ~ spl0_20
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f9112]) ).

fof(f9123,plain,
    ( sum(sum(n8,succ(n4)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f477,f7098]) ).

fof(f9124,plain,
    ( sum(sum(n8,n5),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f8,f9123]) ).

fof(f9125,plain,
    ( sum(n13,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f169,f9124]) ).

fof(f9126,plain,
    ( sum(n13,sum(pred(n4),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f477,f9125]) ).

fof(f9127,plain,
    ( sum(n13,sum(n3,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f24,f9126]) ).

fof(f9128,plain,
    ( sum(n13,n13) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f94,f9127]) ).

fof(f9129,plain,
    ( n10 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f257,f9128]) ).

fof(f9130,plain,
    ( n10 != sum(n2,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f477,f9129]) ).

fof(f9131,plain,
    ( n10 != sum(n2,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f24,f9130]) ).

fof(f9132,plain,
    ( n10 != sum(n2,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f477,f9131]) ).

fof(f9133,plain,
    ( n10 != sum(n2,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f8,f9132]) ).

fof(f9134,plain,
    ( n10 != sum(n2,n8)
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f89,f9133]) ).

fof(f9135,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9134,f76]) ).

fof(f9136,plain,
    ( ~ spl0_20
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f9135]) ).

fof(f9137,plain,
    ( sum(sum(n9,succ(n4)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f477,f5735]) ).

fof(f9138,plain,
    ( sum(sum(n9,n5),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f8,f9137]) ).

fof(f9139,plain,
    ( sum(n14,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f185,f9138]) ).

fof(f9140,plain,
    ( sum(n14,sum(pred(n4),n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f477,f9139]) ).

fof(f9141,plain,
    ( sum(n14,sum(n3,n11)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f24,f9140]) ).

fof(f9142,plain,
    ( sum(n14,n14) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f95,f9141]) ).

fof(f9143,plain,
    ( n12 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f274,f9142]) ).

fof(f9144,plain,
    ( n12 != sum(n4,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f477,f9143]) ).

fof(f9145,plain,
    ( n12 != sum(n4,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f24,f9144]) ).

fof(f9146,plain,
    ( n12 != sum(n4,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f477,f9145]) ).

fof(f9147,plain,
    ( n12 != sum(n4,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f8,f9146]) ).

fof(f9148,plain,
    ( n12 != sum(n4,n8)
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f89,f9147]) ).

fof(f9149,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9148,f108]) ).

fof(f9150,plain,
    ( ~ spl0_20
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f9149]) ).

fof(f9188,plain,
    ( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f474,f8372]) ).

fof(f9189,plain,
    ( sum(sum(n9,succ(n3)),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f474,f9188]) ).

fof(f9190,plain,
    ( sum(sum(n9,n4),sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f7,f9189]) ).

fof(f9191,plain,
    ( sum(n13,sum(pred(sk0_1),n11)) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f184,f9190]) ).

fof(f9192,plain,
    ( sum(n13,sum(pred(n3),n11)) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f474,f9191]) ).

fof(f9193,plain,
    ( sum(n13,sum(n2,n11)) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f23,f9192]) ).

fof(f9194,plain,
    ( sum(n13,n13) != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f79,f9193]) ).

fof(f9195,plain,
    ( n10 != sum(n4,sum(pred(sk0_1),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f257,f9194]) ).

fof(f9196,plain,
    ( n10 != sum(n4,sum(pred(n3),succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f474,f9195]) ).

fof(f9197,plain,
    ( n10 != sum(n4,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f23,f9196]) ).

fof(f9198,plain,
    ( n10 != sum(n4,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f7,f9197]) ).

fof(f9199,plain,
    ( n10 != sum(n4,n6)
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f72,f9198]) ).

fof(f9200,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9199,f106]) ).

fof(f9201,plain,
    ( ~ spl0_19
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f9200]) ).

fof(f9202,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f9203,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f9202]) ).

fof(f9204,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f9203]) ).

fof(f9205,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f9204]) ).

fof(f9206,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f9205]) ).

fof(f9207,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f9206]) ).

fof(f9208,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f9207]) ).

fof(f9209,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f9208]) ).

fof(f9210,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f9209]) ).

fof(f9240,plain,
    ( sum(sum(n4,succ(n12)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f501,f8481]) ).

fof(f9241,plain,
    ( sum(sum(n4,n13),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f16,f9240]) ).

fof(f9242,plain,
    ( sum(n1,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f113,f9241]) ).

fof(f9243,plain,
    ( sum(n1,sum(pred(n12),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f501,f9242]) ).

fof(f9244,plain,
    ( sum(n1,sum(n11,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f32,f9243]) ).

fof(f9245,plain,
    ( sum(n1,n1) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f218,f9244]) ).

fof(f9246,plain,
    ( n2 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f53,f9245]) ).

fof(f9247,plain,
    ( n2 != sum(n10,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f501,f9246]) ).

fof(f9248,plain,
    ( n2 != sum(n10,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f32,f9247]) ).

fof(f9249,plain,
    ( n2 != sum(n10,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f501,f9248]) ).

fof(f9250,plain,
    ( n2 != sum(n10,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f16,f9249]) ).

fof(f9251,plain,
    ( n2 != sum(n10,n8)
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f225,f9250]) ).

fof(f9252,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9251,f204]) ).

fof(f9253,plain,
    ( ~ spl0_28
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f9252]) ).

fof(f9254,plain,
    ( sum(sum(n5,succ(n12)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f501,f6020]) ).

fof(f9255,plain,
    ( sum(sum(n5,n13),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f16,f9254]) ).

fof(f9256,plain,
    ( sum(n2,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f129,f9255]) ).

fof(f9257,plain,
    ( sum(n2,sum(pred(n12),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f501,f9256]) ).

fof(f9258,plain,
    ( sum(n2,sum(n11,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f32,f9257]) ).

fof(f9259,plain,
    ( sum(n2,n2) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f219,f9258]) ).

fof(f9260,plain,
    ( n4 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f70,f9259]) ).

fof(f9261,plain,
    ( n4 != sum(n12,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f501,f9260]) ).

fof(f9262,plain,
    ( n4 != sum(n12,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f32,f9261]) ).

fof(f9263,plain,
    ( n4 != sum(n12,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f501,f9262]) ).

fof(f9264,plain,
    ( n4 != sum(n12,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f16,f9263]) ).

fof(f9265,plain,
    ( n4 != sum(n12,n8)
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f225,f9264]) ).

fof(f9266,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9265,f236]) ).

fof(f9267,plain,
    ( ~ spl0_28
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f9266]) ).

fof(f9277,plain,
    ( sum(sum(n1,succ(n12)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f501,f5283]) ).

fof(f9278,plain,
    ( sum(sum(n1,n13),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f16,f9277]) ).

fof(f9279,plain,
    ( sum(n14,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f65,f9278]) ).

fof(f9280,plain,
    ( sum(n14,sum(pred(n12),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f501,f9279]) ).

fof(f9281,plain,
    ( sum(n14,sum(n11,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f32,f9280]) ).

fof(f9282,plain,
    ( sum(n14,n14) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f215,f9281]) ).

fof(f9283,plain,
    ( n12 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f274,f9282]) ).

fof(f9284,plain,
    ( n12 != sum(n4,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f501,f9283]) ).

fof(f9285,plain,
    ( n12 != sum(n4,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f32,f9284]) ).

fof(f9286,plain,
    ( n12 != sum(n4,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f501,f9285]) ).

fof(f9287,plain,
    ( n12 != sum(n4,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f16,f9286]) ).

fof(f9288,plain,
    ( n12 != sum(n4,n8)
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f225,f9287]) ).

fof(f9289,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9288,f108]) ).

fof(f9290,plain,
    ( ~ spl0_28
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f9289]) ).

fof(f9330,plain,
    ( sum(sum(n1,succ(n0)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f465,f2821]) ).

fof(f9331,plain,
    ( sum(sum(n1,n1),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f4,f9330]) ).

fof(f9332,plain,
    ( sum(n2,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f53,f9331]) ).

fof(f9333,plain,
    ( sum(n2,sum(pred(n0),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f465,f9332]) ).

fof(f9334,plain,
    ( sum(n2,sum(n15,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f20,f9333]) ).

fof(f9335,plain,
    ( sum(n2,n2) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f279,f9334]) ).

fof(f9336,plain,
    ( n4 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f70,f9335]) ).

fof(f9337,plain,
    ( n4 != sum(n4,sum(pred(n0),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f465,f9336]) ).

fof(f9338,plain,
    ( n4 != sum(n4,sum(n15,succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f20,f9337]) ).

fof(f9339,plain,
    ( n4 != sum(n4,sum(n15,succ(n0)))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f465,f9338]) ).

fof(f9340,plain,
    ( n4 != sum(n4,sum(n15,n1))
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f4,f9339]) ).

fof(f9341,plain,
    ( n4 != sum(n4,n0)
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f277,f9340]) ).

fof(f9342,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9341,f100]) ).

fof(f9343,plain,
    ( ~ spl0_16
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f9342]) ).

fof(f9367,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f507,f8282]) ).

fof(f9368,plain,
    ( sum(sum(n14,succ(n14)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f507,f9367]) ).

fof(f9369,plain,
    ( sum(sum(n14,n15),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f18,f9368]) ).

fof(f9370,plain,
    ( sum(n13,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f275,f9369]) ).

fof(f9371,plain,
    ( sum(n13,sum(pred(n14),n0)) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f507,f9370]) ).

fof(f9372,plain,
    ( sum(n13,sum(n13,n0)) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f34,f9371]) ).

fof(f9373,plain,
    ( sum(n13,n13) != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f244,f9372]) ).

fof(f9374,plain,
    ( n10 != sum(n14,sum(pred(sk0_1),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f257,f9373]) ).

fof(f9375,plain,
    ( n10 != sum(n14,sum(pred(n14),succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f507,f9374]) ).

fof(f9376,plain,
    ( n10 != sum(n14,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f34,f9375]) ).

fof(f9377,plain,
    ( n10 != sum(n14,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f18,f9376]) ).

fof(f9378,plain,
    ( n10 != sum(n14,n12)
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f259,f9377]) ).

fof(f9379,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9378,f272]) ).

fof(f9380,plain,
    ( ~ spl0_30
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f9379]) ).

fof(f9419,plain,
    ( sum(sum(n8,succ(n6)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f483,f8334]) ).

fof(f9420,plain,
    ( sum(sum(n8,n7),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f10,f9419]) ).

fof(f9421,plain,
    ( sum(n15,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f171,f9420]) ).

fof(f9422,plain,
    ( sum(n15,sum(pred(n6),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f483,f9421]) ).

fof(f9423,plain,
    ( sum(n15,sum(n5,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f26,f9422]) ).

fof(f9424,plain,
    ( sum(n15,n15) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f126,f9423]) ).

fof(f9425,plain,
    ( n14 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f291,f9424]) ).

fof(f9426,plain,
    ( n14 != sum(n2,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f483,f9425]) ).

fof(f9427,plain,
    ( n14 != sum(n2,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f26,f9426]) ).

fof(f9428,plain,
    ( n14 != sum(n2,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f483,f9427]) ).

fof(f9429,plain,
    ( n14 != sum(n2,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f10,f9428]) ).

fof(f9430,plain,
    ( n14 != sum(n2,n12)
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f123,f9429]) ).

fof(f9431,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9430,f80]) ).

fof(f9432,plain,
    ( ~ spl0_22
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f9431]) ).

fof(f9456,plain,
    ( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f422,f7560]) ).

fof(f9457,plain,
    ( sum(sum(pred(n2),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f422,f9456]) ).

fof(f9458,plain,
    ( sum(sum(n1,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f22,f9457]) ).

fof(f9459,plain,
    ( sum(n6,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f57,f9458]) ).

fof(f9460,plain,
    ( sum(n6,sum(n3,succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f422,f9459]) ).

fof(f9461,plain,
    ( sum(n6,sum(n3,n3)) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f6,f9460]) ).

fof(f9462,plain,
    ( sum(n6,n6) != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f87,f9461]) ).

fof(f9463,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f138,f9462]) ).

fof(f9464,plain,
    ( n12 != sum(sum(pred(n2),succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f422,f9463]) ).

fof(f9465,plain,
    ( n12 != sum(sum(n1,succ(n2)),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f22,f9464]) ).

fof(f9466,plain,
    ( n12 != sum(sum(n1,n3),n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f6,f9465]) ).

fof(f9467,plain,
    ( n12 != sum(n4,n8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f55,f9466]) ).

fof(f9468,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9467,f108]) ).

fof(f9469,plain,
    ( ~ spl0_2
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f9468]) ).

fof(f9470,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f510,f294]) ).

fof(f9471,plain,
    ( sum(sum(pred(sk0_0),succ(n15)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f9470]) ).

fof(f9472,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f9471]) ).

fof(f9473,plain,
    ( sum(sum(pred(sk0_0),n0),sum(pred(n15),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f9472]) ).

fof(f9474,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f9473]) ).

fof(f9475,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n15),succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f510,f9474]) ).

fof(f9476,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,succ(n15)))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f9475]) ).

fof(f9477,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n14,n0))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f9476]) ).

fof(f9478,plain,
    ( sum(sum(pred(sk0_0),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f9477]) ).

fof(f9508,plain,
    ( sum(sum(pred(n10),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f446,f7225]) ).

fof(f9509,plain,
    ( sum(sum(n9,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f30,f9508]) ).

fof(f9510,plain,
    ( sum(n9,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f180,f9509]) ).

fof(f9511,plain,
    ( sum(n9,sum(n14,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f446,f9510]) ).

fof(f9512,plain,
    ( sum(n9,sum(n14,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f9511]) ).

fof(f9513,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f271,f9512]) ).

fof(f9514,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f189,f9513]) ).

fof(f9515,plain,
    ( n2 != sum(sum(pred(n10),succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f446,f9514]) ).

fof(f9516,plain,
    ( n2 != sum(sum(n9,succ(sk0_0)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f30,f9515]) ).

fof(f9517,plain,
    ( n2 != sum(sum(n9,succ(n10)),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f446,f9516]) ).

fof(f9518,plain,
    ( n2 != sum(sum(n9,n11),n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f9517]) ).

fof(f9519,plain,
    ( n2 != sum(n4,n14)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f191,f9518]) ).

fof(f9520,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9519,f114]) ).

fof(f9521,plain,
    ( ~ spl0_10
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f9520]) ).

fof(f9531,plain,
    ( sum(sum(pred(n10),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f446,f2220]) ).

fof(f9532,plain,
    ( sum(sum(n9,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f9531]) ).

fof(f9533,plain,
    ( sum(n4,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f9532]) ).

fof(f9534,plain,
    ( sum(n4,sum(n9,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f446,f9533]) ).

fof(f9535,plain,
    ( sum(n4,sum(n9,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f9534]) ).

fof(f9536,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f9535]) ).

fof(f9537,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f104,f9536]) ).

fof(f9538,plain,
    ( n8 != sum(sum(pred(n10),succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f446,f9537]) ).

fof(f9539,plain,
    ( n8 != sum(sum(n9,succ(sk0_0)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f9538]) ).

fof(f9540,plain,
    ( n8 != sum(sum(n9,succ(n10)),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f446,f9539]) ).

fof(f9541,plain,
    ( n8 != sum(sum(n9,n11),n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f14,f9540]) ).

fof(f9542,plain,
    ( n8 != sum(n4,n4)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f191,f9541]) ).

fof(f9543,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9542,f104]) ).

fof(f9544,plain,
    ( ~ spl0_10
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f9543]) ).

fof(f9558,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f431,f294]) ).

fof(f9559,plain,
    ( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f9558]) ).

fof(f9560,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f9559]) ).

fof(f9561,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f9560]) ).

fof(f9562,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f9561]) ).

fof(f9563,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f431,f9562]) ).

fof(f9564,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f9563]) ).

fof(f9565,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f9,f9564]) ).

fof(f9566,plain,
    ( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f106,f9565]) ).

fof(f9596,plain,
    ( sum(sum(n4,succ(n1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f468,f5968]) ).

fof(f9597,plain,
    ( sum(sum(n4,n2),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f5,f9596]) ).

fof(f9598,plain,
    ( sum(n6,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f102,f9597]) ).

fof(f9599,plain,
    ( sum(n6,sum(pred(n1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f468,f9598]) ).

fof(f9600,plain,
    ( sum(n6,sum(n0,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f21,f9599]) ).

fof(f9601,plain,
    ( sum(n6,n6) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f42,f9600]) ).

fof(f9602,plain,
    ( n12 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f138,f9601]) ).

fof(f9603,plain,
    ( n12 != sum(n10,sum(pred(n1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f468,f9602]) ).

fof(f9604,plain,
    ( n12 != sum(n10,sum(n0,succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f21,f9603]) ).

fof(f9605,plain,
    ( n12 != sum(n10,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f468,f9604]) ).

fof(f9606,plain,
    ( n12 != sum(n10,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f5,f9605]) ).

fof(f9607,plain,
    ( n12 != sum(n10,n2)
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f38,f9606]) ).

fof(f9608,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9607,f198]) ).

fof(f9609,plain,
    ( ~ spl0_17
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f9608]) ).

fof(f9610,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f434,f294]) ).

fof(f9611,plain,
    ( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f9610]) ).

fof(f9612,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f9611]) ).

fof(f9613,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f9612]) ).

fof(f9614,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f9613]) ).

fof(f9615,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f434,f9614]) ).

fof(f9616,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f26,f9615]) ).

fof(f9617,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f9616]) ).

fof(f9618,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f123,f9617]) ).

fof(f9634,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f486,f8533]) ).

fof(f9635,plain,
    ( sum(sum(n5,succ(n7)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f486,f9634]) ).

fof(f9636,plain,
    ( sum(sum(n5,n8),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f11,f9635]) ).

fof(f9637,plain,
    ( sum(n13,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f124,f9636]) ).

fof(f9638,plain,
    ( sum(n13,sum(pred(n7),n7)) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f486,f9637]) ).

fof(f9639,plain,
    ( sum(n13,sum(n6,n7)) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f27,f9638]) ).

fof(f9640,plain,
    ( sum(n13,n13) != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f139,f9639]) ).

fof(f9641,plain,
    ( n10 != sum(n12,sum(pred(sk0_1),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f257,f9640]) ).

fof(f9642,plain,
    ( n10 != sum(n12,sum(pred(n7),succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f486,f9641]) ).

fof(f9643,plain,
    ( n10 != sum(n12,sum(n6,succ(n7)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f27,f9642]) ).

fof(f9644,plain,
    ( n10 != sum(n12,sum(n6,n8))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f11,f9643]) ).

fof(f9645,plain,
    ( n10 != sum(n12,n14)
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f140,f9644]) ).

fof(f9646,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9645,f242]) ).

fof(f9647,plain,
    ( ~ spl0_23
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f9646]) ).

fof(f9687,plain,
    ( sum(sum(pred(n10),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f446,f3289]) ).

fof(f9688,plain,
    ( sum(sum(n9,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f30,f9687]) ).

fof(f9689,plain,
    ( sum(n10,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f181,f9688]) ).

fof(f9690,plain,
    ( sum(n10,sum(n15,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f446,f9689]) ).

fof(f9691,plain,
    ( sum(n10,sum(n15,n11)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f14,f9690]) ).

fof(f9692,plain,
    ( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f287,f9691]) ).

fof(f9693,plain,
    ( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f206,f9692]) ).

fof(f9694,plain,
    ( n4 != sum(sum(pred(n10),succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f446,f9693]) ).

fof(f9695,plain,
    ( n4 != sum(sum(n9,succ(sk0_0)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f30,f9694]) ).

fof(f9696,plain,
    ( n4 != sum(sum(n9,succ(n10)),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f446,f9695]) ).

fof(f9697,plain,
    ( n4 != sum(sum(n9,n11),n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f14,f9696]) ).

fof(f9698,plain,
    ( n4 != sum(n4,n0)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f191,f9697]) ).

fof(f9699,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9698,f100]) ).

fof(f9700,plain,
    ( ~ spl0_10
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f9699]) ).

fof(f9739,plain,
    ( sum(sum(n14,succ(n12)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f501,f9070]) ).

fof(f9740,plain,
    ( sum(sum(n14,n13),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f16,f9739]) ).

fof(f9741,plain,
    ( sum(n11,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f273,f9740]) ).

fof(f9742,plain,
    ( sum(n11,sum(pred(n12),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f501,f9741]) ).

fof(f9743,plain,
    ( sum(n11,sum(n11,n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f32,f9742]) ).

fof(f9744,plain,
    ( sum(n11,n11) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f212,f9743]) ).

fof(f9745,plain,
    ( n6 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f223,f9744]) ).

fof(f9746,plain,
    ( n6 != sum(n14,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f501,f9745]) ).

fof(f9747,plain,
    ( n6 != sum(n14,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f32,f9746]) ).

fof(f9748,plain,
    ( n6 != sum(n14,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f501,f9747]) ).

fof(f9749,plain,
    ( n6 != sum(n14,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f16,f9748]) ).

fof(f9750,plain,
    ( n6 != sum(n14,n8)
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f225,f9749]) ).

fof(f9751,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9750,f268]) ).

fof(f9752,plain,
    ( ~ spl0_28
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f9751]) ).

fof(f9766,plain,
    ( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f443,f294]) ).

fof(f9767,plain,
    ( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f9766]) ).

fof(f9768,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f9767]) ).

fof(f9769,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f9768]) ).

fof(f9770,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f9769]) ).

fof(f9771,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f443,f9770]) ).

fof(f9772,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f9771]) ).

fof(f9773,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f9772]) ).

fof(f9774,plain,
    ( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f174,f9773]) ).

fof(f9790,plain,
    ( sum(sum(pred(n9),n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f443,f2003]) ).

fof(f9791,plain,
    ( sum(sum(n8,n15),sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f29,f9790]) ).

fof(f9792,plain,
    ( sum(n7,sum(n13,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f179,f9791]) ).

fof(f9793,plain,
    ( sum(n7,sum(n13,succ(n9))) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f443,f9792]) ).

fof(f9794,plain,
    ( sum(n7,sum(n13,n10)) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f9793]) ).

fof(f9795,plain,
    ( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f254,f9794]) ).

fof(f9796,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f155,f9795]) ).

fof(f9797,plain,
    ( n14 != sum(sum(pred(n9),succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f443,f9796]) ).

fof(f9798,plain,
    ( n14 != sum(sum(n8,succ(sk0_0)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f29,f9797]) ).

fof(f9799,plain,
    ( n14 != sum(sum(n8,succ(n9)),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f443,f9798]) ).

fof(f9800,plain,
    ( n14 != sum(sum(n8,n10),n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f9799]) ).

fof(f9801,plain,
    ( n14 != sum(n2,n12)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f174,f9800]) ).

fof(f9802,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9801,f80]) ).

fof(f9803,plain,
    ( ~ spl0_9
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f9802]) ).

fof(f9840,plain,
    ( sum(sum(n4,succ(n4)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f477,f7316]) ).

fof(f9841,plain,
    ( sum(sum(n4,n5),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f8,f9840]) ).

fof(f9842,plain,
    ( sum(n9,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f105,f9841]) ).

fof(f9843,plain,
    ( sum(n9,sum(pred(n4),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f477,f9842]) ).

fof(f9844,plain,
    ( sum(n9,sum(n3,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f24,f9843]) ).

fof(f9845,plain,
    ( sum(n9,n9) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f90,f9844]) ).

fof(f9846,plain,
    ( n2 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f189,f9845]) ).

fof(f9847,plain,
    ( n2 != sum(n10,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f477,f9846]) ).

fof(f9848,plain,
    ( n2 != sum(n10,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f24,f9847]) ).

fof(f9849,plain,
    ( n2 != sum(n10,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f477,f9848]) ).

fof(f9850,plain,
    ( n2 != sum(n10,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f8,f9849]) ).

fof(f9851,plain,
    ( n2 != sum(n10,n8)
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f89,f9850]) ).

fof(f9852,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9851,f204]) ).

fof(f9853,plain,
    ( ~ spl0_20
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f9852]) ).

fof(f9854,plain,
    ( sum(sum(n5,succ(n4)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f477,f6020]) ).

fof(f9855,plain,
    ( sum(sum(n5,n5),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f8,f9854]) ).

fof(f9856,plain,
    ( sum(n10,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f121,f9855]) ).

fof(f9857,plain,
    ( sum(n10,sum(pred(n4),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f477,f9856]) ).

fof(f9858,plain,
    ( sum(n10,sum(n3,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f24,f9857]) ).

fof(f9859,plain,
    ( sum(n10,n10) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f91,f9858]) ).

fof(f9860,plain,
    ( n4 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f206,f9859]) ).

fof(f9861,plain,
    ( n4 != sum(n12,sum(pred(n4),succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f477,f9860]) ).

fof(f9862,plain,
    ( n4 != sum(n12,sum(n3,succ(sk0_1)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f24,f9861]) ).

fof(f9863,plain,
    ( n4 != sum(n12,sum(n3,succ(n4)))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f477,f9862]) ).

fof(f9864,plain,
    ( n4 != sum(n12,sum(n3,n5))
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f8,f9863]) ).

fof(f9865,plain,
    ( n4 != sum(n12,n8)
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f89,f9864]) ).

fof(f9866,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9865,f236]) ).

fof(f9867,plain,
    ( ~ spl0_20
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f9866]) ).

fof(f9892,plain,
    ( sum(sum(n14,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f468,f4025]) ).

fof(f9893,plain,
    ( sum(sum(n14,succ(n1)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f468,f9892]) ).

fof(f9894,plain,
    ( sum(sum(n14,n2),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f5,f9893]) ).

fof(f9895,plain,
    ( sum(n0,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f262,f9894]) ).

fof(f9896,plain,
    ( sum(n0,sum(pred(n1),n0)) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f468,f9895]) ).

fof(f9897,plain,
    ( sum(n0,sum(n0,n0)) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f21,f9896]) ).

fof(f9898,plain,
    ( sum(n0,n0) != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f36,f9897]) ).

fof(f9899,plain,
    ( n0 != sum(n14,sum(pred(sk0_1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f36,f9898]) ).

fof(f9900,plain,
    ( n0 != sum(n14,sum(pred(n1),succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f468,f9899]) ).

fof(f9901,plain,
    ( n0 != sum(n14,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f21,f9900]) ).

fof(f9902,plain,
    ( n0 != sum(n14,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f5,f9901]) ).

fof(f9903,plain,
    ( n0 != sum(n14,n2)
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f38,f9902]) ).

fof(f9904,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9903,f262]) ).

fof(f9905,plain,
    ( ~ spl0_17
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f9904]) ).

fof(f9926,plain,
    ( sum(sum(n8,succ(n1)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f468,f9774]) ).

fof(f9927,plain,
    ( sum(sum(n8,n2),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f5,f9926]) ).

fof(f9928,plain,
    ( sum(n10,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f166,f9927]) ).

fof(f9929,plain,
    ( sum(n10,sum(pred(n1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f468,f9928]) ).

fof(f9930,plain,
    ( sum(n10,sum(n0,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f21,f9929]) ).

fof(f9931,plain,
    ( sum(n10,n10) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f46,f9930]) ).

fof(f9932,plain,
    ( n4 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f206,f9931]) ).

fof(f9933,plain,
    ( n4 != sum(n2,sum(pred(n1),succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f468,f9932]) ).

fof(f9934,plain,
    ( n4 != sum(n2,sum(n0,succ(sk0_1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f21,f9933]) ).

fof(f9935,plain,
    ( n4 != sum(n2,sum(n0,succ(n1)))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f468,f9934]) ).

fof(f9936,plain,
    ( n4 != sum(n2,sum(n0,n2))
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f5,f9935]) ).

fof(f9937,plain,
    ( n4 != sum(n2,n2)
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f38,f9936]) ).

fof(f9938,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9937,f70]) ).

fof(f9939,plain,
    ( ~ spl0_17
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f9938]) ).

fof(f9978,plain,
    ( sum(sum(n4,succ(n6)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f483,f9210]) ).

fof(f9979,plain,
    ( sum(sum(n4,n7),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f10,f9978]) ).

fof(f9980,plain,
    ( sum(n11,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f107,f9979]) ).

fof(f9981,plain,
    ( sum(n11,sum(pred(n6),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f483,f9980]) ).

fof(f9982,plain,
    ( sum(n11,sum(n5,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f26,f9981]) ).

fof(f9983,plain,
    ( sum(n11,n11) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f122,f9982]) ).

fof(f9984,plain,
    ( n6 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f223,f9983]) ).

fof(f9985,plain,
    ( n6 != sum(n10,sum(pred(n6),succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f483,f9984]) ).

fof(f9986,plain,
    ( n6 != sum(n10,sum(n5,succ(sk0_1)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f26,f9985]) ).

fof(f9987,plain,
    ( n6 != sum(n10,sum(n5,succ(n6)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f483,f9986]) ).

fof(f9988,plain,
    ( n6 != sum(n10,sum(n5,n7))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f10,f9987]) ).

fof(f9989,plain,
    ( n6 != sum(n10,n12)
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f123,f9988]) ).

fof(f9990,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9989,f208]) ).

fof(f9991,plain,
    ( ~ spl0_22
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f9990]) ).

fof(f10030,plain,
    ( sum(sum(n5,succ(n0)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f465,f9618]) ).

fof(f10031,plain,
    ( sum(sum(n5,n1),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f4,f10030]) ).

fof(f10032,plain,
    ( sum(n6,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f117,f10031]) ).

fof(f10033,plain,
    ( sum(n6,sum(pred(n0),n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f465,f10032]) ).

fof(f10034,plain,
    ( sum(n6,sum(n15,n7)) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f20,f10033]) ).

fof(f10035,plain,
    ( sum(n6,n6) != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f283,f10034]) ).

fof(f10036,plain,
    ( n12 != sum(n12,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f138,f10035]) ).

fof(f10037,plain,
    ( n12 != sum(n12,sum(pred(n0),succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f465,f10036]) ).

fof(f10038,plain,
    ( n12 != sum(n12,sum(n15,succ(sk0_1)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f20,f10037]) ).

fof(f10039,plain,
    ( n12 != sum(n12,sum(n15,succ(n0)))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f465,f10038]) ).

fof(f10040,plain,
    ( n12 != sum(n12,sum(n15,n1))
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f4,f10039]) ).

fof(f10041,plain,
    ( n12 != sum(n12,n0)
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f277,f10040]) ).

fof(f10042,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10041,f228]) ).

fof(f10043,plain,
    ( ~ spl0_16
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f10042]) ).

fof(f10044,plain,
    ( sum(sum(pred(n6),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f434,f5141]) ).

fof(f10045,plain,
    ( sum(sum(n5,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f26,f10044]) ).

fof(f10046,plain,
    ( sum(n5,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f116,f10045]) ).

fof(f10047,plain,
    ( sum(n5,sum(n14,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f434,f10046]) ).

fof(f10048,plain,
    ( sum(n5,sum(n14,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f10,f10047]) ).

fof(f10049,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f267,f10048]) ).

fof(f10050,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f121,f10049]) ).

fof(f10051,plain,
    ( n10 != sum(sum(pred(n6),succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f434,f10050]) ).

fof(f10052,plain,
    ( n10 != sum(sum(n5,succ(sk0_0)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f26,f10051]) ).

fof(f10053,plain,
    ( n10 != sum(sum(n5,succ(n6)),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f434,f10052]) ).

fof(f10054,plain,
    ( n10 != sum(sum(n5,n7),n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f10,f10053]) ).

fof(f10055,plain,
    ( n10 != sum(n12,n14)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f123,f10054]) ).

fof(f10056,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10055,f242]) ).

fof(f10057,plain,
    ( ~ spl0_6
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f10056]) ).

fof(f10058,plain,
    ( sum(sum(pred(n6),n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f434,f6374]) ).

fof(f10059,plain,
    ( sum(sum(n5,n11),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f26,f10058]) ).

fof(f10060,plain,
    ( sum(n0,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f127,f10059]) ).

fof(f10061,plain,
    ( sum(n0,sum(n9,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f434,f10060]) ).

fof(f10062,plain,
    ( sum(n0,sum(n9,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f10,f10061]) ).

fof(f10063,plain,
    ( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f187,f10062]) ).

fof(f10064,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f36,f10063]) ).

fof(f10065,plain,
    ( n0 != sum(sum(pred(n6),succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f434,f10064]) ).

fof(f10066,plain,
    ( n0 != sum(sum(n5,succ(sk0_0)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f26,f10065]) ).

fof(f10067,plain,
    ( n0 != sum(sum(n5,succ(n6)),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f434,f10066]) ).

fof(f10068,plain,
    ( n0 != sum(sum(n5,n7),n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f10,f10067]) ).

fof(f10069,plain,
    ( n0 != sum(n12,n4)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f123,f10068]) ).

fof(f10070,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10069,f232]) ).

fof(f10071,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f10070]) ).

fof(f10126,plain,
    ( sum(sum(n14,succ(n3)),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f474,f8282]) ).

fof(f10127,plain,
    ( sum(sum(n14,n4),sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f7,f10126]) ).

fof(f10128,plain,
    ( sum(n2,sum(pred(sk0_1),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f264,f10127]) ).

fof(f10129,plain,
    ( sum(n2,sum(pred(n3),n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f474,f10128]) ).

fof(f10130,plain,
    ( sum(n2,sum(n2,n0)) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f23,f10129]) ).

fof(f10131,plain,
    ( sum(n2,n2) != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f68,f10130]) ).

fof(f10132,plain,
    ( n4 != sum(n14,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f70,f10131]) ).

fof(f10133,plain,
    ( n4 != sum(n14,sum(pred(n3),succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f474,f10132]) ).

fof(f10134,plain,
    ( n4 != sum(n14,sum(n2,succ(sk0_1)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f23,f10133]) ).

fof(f10135,plain,
    ( n4 != sum(n14,sum(n2,succ(n3)))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f474,f10134]) ).

fof(f10136,plain,
    ( n4 != sum(n14,sum(n2,n4))
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f7,f10135]) ).

fof(f10137,plain,
    ( n4 != sum(n14,n6)
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f72,f10136]) ).

fof(f10138,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10137,f266]) ).

fof(f10139,plain,
    ( ~ spl0_19
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f10138]) ).

fof(f10179,plain,
    ( sum(sum(n8,succ(n12)),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f501,f7098]) ).

fof(f10180,plain,
    ( sum(sum(n8,n13),sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f16,f10179]) ).

fof(f10181,plain,
    ( sum(n5,sum(pred(sk0_1),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f177,f10180]) ).

fof(f10182,plain,
    ( sum(n5,sum(pred(n12),n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f501,f10181]) ).

fof(f10183,plain,
    ( sum(n5,sum(n11,n10)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f32,f10182]) ).

fof(f10184,plain,
    ( sum(n5,n5) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f222,f10183]) ).

fof(f10185,plain,
    ( n10 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f121,f10184]) ).

fof(f10186,plain,
    ( n10 != sum(n2,sum(pred(n12),succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f501,f10185]) ).

fof(f10187,plain,
    ( n10 != sum(n2,sum(n11,succ(sk0_1)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f32,f10186]) ).

fof(f10188,plain,
    ( n10 != sum(n2,sum(n11,succ(n12)))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f501,f10187]) ).

fof(f10189,plain,
    ( n10 != sum(n2,sum(n11,n13))
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f16,f10188]) ).

fof(f10190,plain,
    ( n10 != sum(n2,n8)
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f225,f10189]) ).

fof(f10191,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10190,f76]) ).

fof(f10192,plain,
    ( ~ spl0_28
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f10191]) ).

fof(f10231,plain,
    ( sum(sum(n4,succ(n13)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f504,f8481]) ).

fof(f10232,plain,
    ( sum(sum(n4,n14),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f17,f10231]) ).

fof(f10233,plain,
    ( sum(n2,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f114,f10232]) ).

fof(f10234,plain,
    ( sum(n2,sum(pred(n13),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f504,f10233]) ).

fof(f10235,plain,
    ( sum(n2,sum(n12,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f33,f10234]) ).

fof(f10236,plain,
    ( sum(n2,n2) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f234,f10235]) ).

fof(f10237,plain,
    ( n4 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f70,f10236]) ).

fof(f10238,plain,
    ( n4 != sum(n10,sum(pred(n13),succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f504,f10237]) ).

fof(f10239,plain,
    ( n4 != sum(n10,sum(n12,succ(sk0_1)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f33,f10238]) ).

fof(f10240,plain,
    ( n4 != sum(n10,sum(n12,succ(n13)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f504,f10239]) ).

fof(f10241,plain,
    ( n4 != sum(n10,sum(n12,n14))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f17,f10240]) ).

fof(f10242,plain,
    ( n4 != sum(n10,n10)
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f242,f10241]) ).

fof(f10243,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10242,f206]) ).

fof(f10244,plain,
    ( ~ spl0_29
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f10243]) ).

fof(f10283,plain,
    ( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f489,f8533]) ).

fof(f10284,plain,
    ( sum(sum(n5,succ(n8)),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f489,f10283]) ).

fof(f10285,plain,
    ( sum(sum(n5,n9),sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f12,f10284]) ).

fof(f10286,plain,
    ( sum(n14,sum(pred(sk0_1),n7)) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f125,f10285]) ).

fof(f10287,plain,
    ( sum(n14,sum(pred(n8),n7)) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f489,f10286]) ).

fof(f10288,plain,
    ( sum(n14,sum(n7,n7)) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f28,f10287]) ).

fof(f10289,plain,
    ( sum(n14,n14) != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f155,f10288]) ).

fof(f10290,plain,
    ( n12 != sum(n12,sum(pred(sk0_1),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f274,f10289]) ).

fof(f10291,plain,
    ( n12 != sum(n12,sum(pred(n8),succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f489,f10290]) ).

fof(f10292,plain,
    ( n12 != sum(n12,sum(n7,succ(n8)))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f28,f10291]) ).

fof(f10293,plain,
    ( n12 != sum(n12,sum(n7,n9))
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f12,f10292]) ).

fof(f10294,plain,
    ( n12 != sum(n12,n0)
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f157,f10293]) ).

fof(f10295,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10294,f228]) ).

fof(f10296,plain,
    ( ~ spl0_24
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f10295]) ).

fof(f10297,plain,
    ( sum(sum(pred(n6),n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f434,f2244]) ).

fof(f10298,plain,
    ( sum(sum(n5,n12),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f26,f10297]) ).

fof(f10299,plain,
    ( sum(n1,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f128,f10298]) ).

fof(f10300,plain,
    ( sum(n1,sum(n10,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f434,f10299]) ).

fof(f10301,plain,
    ( sum(n1,sum(n10,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f10,f10300]) ).

fof(f10302,plain,
    ( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f203,f10301]) ).

fof(f10303,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f53,f10302]) ).

fof(f10304,plain,
    ( n2 != sum(sum(pred(n6),succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f434,f10303]) ).

fof(f10305,plain,
    ( n2 != sum(sum(n5,succ(sk0_0)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f26,f10304]) ).

fof(f10306,plain,
    ( n2 != sum(sum(n5,succ(n6)),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f434,f10305]) ).

fof(f10307,plain,
    ( n2 != sum(sum(n5,n7),n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f10,f10306]) ).

fof(f10308,plain,
    ( n2 != sum(n12,n6)
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f123,f10307]) ).

fof(f10309,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10308,f234]) ).

fof(f10310,plain,
    ( ~ spl0_6
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f10309]) ).

fof(f10333,plain,
    ( sum(sum(pred(sk0_0),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f461,f8230]) ).

fof(f10334,plain,
    ( sum(sum(pred(n15),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f461,f10333]) ).

fof(f10335,plain,
    ( sum(sum(n14,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f35,f10334]) ).

fof(f10336,plain,
    ( sum(n15,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f261,f10335]) ).

fof(f10337,plain,
    ( sum(n15,sum(n15,succ(n15))) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f461,f10336]) ).

fof(f10338,plain,
    ( sum(n15,sum(n15,n0)) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f19,f10337]) ).

fof(f10339,plain,
    ( sum(n15,n15) != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f276,f10338]) ).

fof(f10340,plain,
    ( n14 != sum(sum(pred(sk0_0),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f291,f10339]) ).

fof(f10341,plain,
    ( n14 != sum(sum(pred(n15),succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f461,f10340]) ).

fof(f10342,plain,
    ( n14 != sum(sum(n14,succ(n15)),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f35,f10341]) ).

fof(f10343,plain,
    ( n14 != sum(sum(n14,n0),n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f19,f10342]) ).

fof(f10344,plain,
    ( n14 != sum(n14,n0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f260,f10343]) ).

fof(f10345,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10344,f260]) ).

fof(f10346,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f10345]) ).

fof(f10361,plain,
    ( sum(sum(pred(n15),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f461,f9478]) ).

fof(f10362,plain,
    ( sum(sum(n14,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f10361]) ).

fof(f10363,plain,
    ( sum(n14,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f10362]) ).

fof(f10364,plain,
    ( sum(n14,sum(n14,succ(n15))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f461,f10363]) ).

fof(f10365,plain,
    ( sum(n14,sum(n14,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f10364]) ).

fof(f10366,plain,
    ( sum(n14,n14) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f10365]) ).

fof(f10367,plain,
    ( n12 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f274,f10366]) ).

fof(f10368,plain,
    ( n12 != sum(sum(pred(n15),succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f461,f10367]) ).

fof(f10369,plain,
    ( n12 != sum(sum(n14,succ(sk0_0)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f10368]) ).

fof(f10370,plain,
    ( n12 != sum(sum(n14,succ(n15)),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f461,f10369]) ).

fof(f10371,plain,
    ( n12 != sum(sum(n14,n0),n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f19,f10370]) ).

fof(f10372,plain,
    ( n12 != sum(n14,n14)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f10371]) ).

fof(f10373,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10372,f274]) ).

fof(f10374,plain,
    ( ~ spl0_15
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f10373]) ).

fof(f10415,plain,
    ( sum(sum(n4,succ(n14)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f507,f9566]) ).

fof(f10416,plain,
    ( sum(sum(n4,n15),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f18,f10415]) ).

fof(f10417,plain,
    ( sum(n3,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f115,f10416]) ).

fof(f10418,plain,
    ( sum(n3,sum(pred(n14),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f507,f10417]) ).

fof(f10419,plain,
    ( sum(n3,sum(n13,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f34,f10418]) ).

fof(f10420,plain,
    ( sum(n3,n3) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f250,f10419]) ).

fof(f10421,plain,
    ( n6 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f87,f10420]) ).

fof(f10422,plain,
    ( n6 != sum(n10,sum(pred(n14),succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f507,f10421]) ).

fof(f10423,plain,
    ( n6 != sum(n10,sum(n13,succ(sk0_1)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f34,f10422]) ).

fof(f10424,plain,
    ( n6 != sum(n10,sum(n13,succ(n14)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f507,f10423]) ).

fof(f10425,plain,
    ( n6 != sum(n10,sum(n13,n15))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f18,f10424]) ).

fof(f10426,plain,
    ( n6 != sum(n10,n12)
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f259,f10425]) ).

fof(f10427,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10426,f208]) ).

fof(f10428,plain,
    ( ~ spl0_30
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f10427]) ).

fof(f10468,plain,
    ( sum(sum(pred(n9),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f443,f6168]) ).

fof(f10469,plain,
    ( sum(sum(n8,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f29,f10468]) ).

fof(f10470,plain,
    ( sum(n9,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f165,f10469]) ).

fof(f10471,plain,
    ( sum(n9,sum(n15,succ(n9))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f443,f10470]) ).

fof(f10472,plain,
    ( sum(n9,sum(n15,n10)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f13,f10471]) ).

fof(f10473,plain,
    ( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f286,f10472]) ).

fof(f10474,plain,
    ( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f189,f10473]) ).

fof(f10475,plain,
    ( n2 != sum(sum(pred(n9),succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f443,f10474]) ).

fof(f10476,plain,
    ( n2 != sum(sum(n8,succ(sk0_0)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f29,f10475]) ).

fof(f10477,plain,
    ( n2 != sum(sum(n8,succ(n9)),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f443,f10476]) ).

fof(f10478,plain,
    ( n2 != sum(sum(n8,n10),n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f13,f10477]) ).

fof(f10479,plain,
    ( n2 != sum(n2,n0)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f174,f10478]) ).

fof(f10480,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10479,f68]) ).

fof(f10481,plain,
    ( ~ spl0_9
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f10480]) ).

fof(f10482,plain,
    ( sum(sum(pred(n9),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f443,f7225]) ).

fof(f10483,plain,
    ( sum(sum(n8,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f29,f10482]) ).

fof(f10484,plain,
    ( sum(n8,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f164,f10483]) ).

fof(f10485,plain,
    ( sum(n8,sum(n14,succ(n9))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f443,f10484]) ).

fof(f10486,plain,
    ( sum(n8,sum(n14,n10)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f13,f10485]) ).

fof(f10487,plain,
    ( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f270,f10486]) ).

fof(f10488,plain,
    ( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f172,f10487]) ).

fof(f10489,plain,
    ( n0 != sum(sum(pred(n9),succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f443,f10488]) ).

fof(f10490,plain,
    ( n0 != sum(sum(n8,succ(sk0_0)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f29,f10489]) ).

fof(f10491,plain,
    ( n0 != sum(sum(n8,succ(n9)),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f443,f10490]) ).

fof(f10492,plain,
    ( n0 != sum(sum(n8,n10),n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f13,f10491]) ).

fof(f10493,plain,
    ( n0 != sum(n2,n14)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f174,f10492]) ).

fof(f10494,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10493,f82]) ).

fof(f10495,plain,
    ( ~ spl0_9
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f10494]) ).

fof(f10535,plain,
    ( sum(sum(pred(n5),n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f431,f2666]) ).

fof(f10536,plain,
    ( sum(sum(n4,n1),sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f25,f10535]) ).

fof(f10537,plain,
    ( sum(n5,sum(n15,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f101,f10536]) ).

fof(f10538,plain,
    ( sum(n5,sum(n15,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f431,f10537]) ).

fof(f10539,plain,
    ( sum(n5,sum(n15,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f9,f10538]) ).

fof(f10540,plain,
    ( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f282,f10539]) ).

fof(f10541,plain,
    ( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f121,f10540]) ).

fof(f10542,plain,
    ( n10 != sum(sum(pred(n5),succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f431,f10541]) ).

fof(f10543,plain,
    ( n10 != sum(sum(n4,succ(sk0_0)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f25,f10542]) ).

fof(f10544,plain,
    ( n10 != sum(sum(n4,succ(n5)),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f431,f10543]) ).

fof(f10545,plain,
    ( n10 != sum(sum(n4,n6),n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f9,f10544]) ).

fof(f10546,plain,
    ( n10 != sum(n10,n0)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f106,f10545]) ).

fof(f10547,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10546,f196]) ).

fof(f10548,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f10547]) ).

fof(f10549,plain,
    ( sum(sum(pred(n5),n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f431,f5141]) ).

fof(f10550,plain,
    ( sum(sum(n4,n0),sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f25,f10549]) ).

fof(f10551,plain,
    ( sum(n4,sum(n14,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f100,f10550]) ).

fof(f10552,plain,
    ( sum(n4,sum(n14,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f431,f10551]) ).

fof(f10553,plain,
    ( sum(n4,sum(n14,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f9,f10552]) ).

fof(f10554,plain,
    ( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f266,f10553]) ).

fof(f10555,plain,
    ( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f104,f10554]) ).

fof(f10556,plain,
    ( n8 != sum(sum(pred(n5),succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f431,f10555]) ).

fof(f10557,plain,
    ( n8 != sum(sum(n4,succ(sk0_0)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f25,f10556]) ).

fof(f10558,plain,
    ( n8 != sum(sum(n4,succ(n5)),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f431,f10557]) ).

fof(f10559,plain,
    ( n8 != sum(sum(n4,n6),n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f9,f10558]) ).

fof(f10560,plain,
    ( n8 != sum(n10,n14)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f106,f10559]) ).

fof(f10561,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10560,f210]) ).

fof(f10562,plain,
    ( ~ spl0_5
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f10561]) ).

fof(f10563,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f463,f512,f616,f655,f756,f799,f895,f943,f992,f1030,f1080,f1130,f1181,f1232,f1283,f1334,f1385,f1437,f1488,f1539,f1575,f1604,f1618,f1632,f1646,f1683,f1735,f1786,f1800,f1852,f1889,f1942,f1994,f2046,f2083,f2135,f2187,f2235,f2287,f2338,f2375,f2403,f2417,f2436,f2450,f2501,f2552,f2601,f2615,f2629,f2643,f2708,f2760,f2812,f2865,f2918,f2955,f3007,f3021,f3035,f3049,f3063,f3077,f3142,f3165,f3179,f3193,f3224,f3238,f3252,f3266,f3280,f3333,f3392,f3445,f3497,f3511,f3534,f3548,f3562,f3614,f3628,f3680,f3732,f3770,f3822,f3874,f3912,f3964,f4016,f4054,f4119,f4172,f4224,f4238,f4261,f4275,f4289,f4303,f4317,f4331,f4345,f4381,f4418,f4456,f4470,f4513,f4527,f4541,f4594,f4646,f4660,f4683,f4736,f4788,f4854,f4868,f4891,f4905,f4919,f4933,f4948,f4962,f5013,f5057,f5109,f5132,f5184,f5236,f5274,f5326,f5349,f5402,f5468,f5504,f5533,f5556,f5570,f5623,f5646,f5660,f5674,f5726,f5779,f5831,f5869,f5922,f5936,f5959,f6011,f6049,f6086,f6122,f6159,f6211,f6263,f6299,f6352,f6417,f6470,f6508,f6561,f6598,f6650,f6702,f6767,f6819,f6833,f6856,f6908,f6959,f7012,f7026,f7040,f7089,f7141,f7164,f7216,f7254,f7307,f7359,f7373,f7424,f7476,f7528,f7551,f7603,f7655,f7707,f7743,f7796,f7848,f7871,f7922,f7958,f8011,f8063,f8078,f8131,f8183,f8221,f8273,f8325,f8363,f8415,f8459,f8524,f8576,f8599,f8665,f8716,f8768,f8791,f8843,f8857,f8895,f8933,f8969,f9008,f9061,f9113,f9136,f9150,f9201,f9253,f9267,f9290,f9343,f9380,f9432,f9469,f9521,f9544,f9609,f9647,f9700,f9752,f9803,f9853,f9867,f9905,f9939,f9991,f10043,f10057,f10071,f10139,f10192,f10244,f10296,f10310,f10346,f10374,f10428,f10481,f10495,f10548,f10562]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr 29 20:56:31 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 2.02/0.64  % Refutation found
% 2.02/0.64  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.02/0.64  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.28/0.70  % Elapsed time: 0.360492 seconds
% 2.28/0.70  % CPU time: 2.344245 seconds
% 2.28/0.70  % Total memory used: 81.093 MB
% 2.28/0.70  % Net memory used: 77.431 MB
%------------------------------------------------------------------------------